electron.txt

COMPILATION OF ELECTRON CROSS SECTIONS USED BY A. V. PHELPS

Please refer to these data using the sources cited for each gas. 
Please do not refer to any of them as "JILA cross sections", 
because a) the data shown here for a given gas may come from 
several sources that should be referred to by the respective 
authors names; b) in most cases no one else at JILA or NIST has 
approved the data or even looked at it.  Reference to this data as 
"JILA data" could be interpreted incorrectly as indicating NIST 
approval and could jepordize my Web site usage.

GASES COMPILED: O2, N2, CO, CO2, H2, H2O, NO, SF6, He, Ne, Ar,
Xe, Na, and Mg 

Comments are made on cross sections from other sources for some 
of these and other gases.

WE MAKE NO CLAIMS FOR THESE CROSS SECTIONS BEYOND THOSE STATED IN 
THE PAPERS WHERE THEY ARE PUBLISHED OR CITED.  IN MOST CASES THESE
CROSS SECTIONS WERE ASSEMBLED IN THE 1970'S AND 1980'S.  IN ONLY A 
FEW CASES HAVE THEY BEEN MODIFIED OR TESTED SINCE THAT TIME. I DO 
NOT PLAN ANY UPDATES.  ADDITIONS HAVE BEEN MADE WHEN CROSS
SECTIONS HAVE BEEN ASSEMBLED FOR OTHER PURPOSES.  SINCE THE JILA 
INFORMATION CENTER WAS CLOSED BY NIST, THERE IS NO ONE THERE TO 
HELP YOU.  OPINIONS EXPRESSED ARE THOSE OF A. V. PHELPS AND DO NOT 
IMPLY JILA, CU, OR NIST APPROVAL.

The cross sections are in 1E-16 cm2.  The two-term Boltzmann code, 
BACKPRO, used in deriving our cross sections employs linear 
interpolation between points in the cross section tables.  
Therefore linear interpolation should be applied when using them. 
Except as noted below for N2, the cross sections listed in JILA 
Information Center Reports 26, 27, and 28 for N2, H2, and O2 
should be the same as those listed here.  (This aspect has not 
been checked in detail, so please inform me of discrepancies.)

It should be kept in mind that the momentum transfer cross sections 
tabulated are effective values that include the effects of inelastic 
collisions as is appropriate for use in the two-tern spherical harmonic 
expansion.  See, for example, Baraff and Buchsbaum, Phys. Rev. 130, 
1007 (1963) and Sec. IIB of Pitchford and Phelps, Phys. Rev. A 25, 
540 (1982).  Where data is available, the effective Qm is set 
equal to the sum of the inelastic cross sections plus the elastic 
momentum transfer cross section. This is an approximate relation.

Some of the terms used in the tables and the BACKPRO code are:

QSCALE is a factor by which the input cross sections from the 
various sources were multiplied to get the values shown here 
and used in the Boltzmann equation.  

ENERGY LOSS is the inelastic energy loss in eV.

LOWER LIMIT and UPPER LIMIT were used by BACKPRO to limit 
the range within which the tables were interpolated.  
Interpolation was the most time-consuming step in the code.

EBR is a parameter used to describe the sharing of energy
among the two electrons resulting from ionization.  It is
the parameter w in Yoshida, Phelps, and Pitchford, Phys. Rev. 
27, 1345 (1983) and its choice is based on the data of Opal, 
Peterson, and Beaty, Phys. Rev. 55, 4100 (1971).

BACKPRO is the FORTRAN code for the solution of the electron 
Boltzmann equation developed by Frost and Phelps, Phys. Rev. 
127, 1621 (1962) and modified by Phelps and coworkers in later 
papers.  A detailed analysis of the code as of 1975 has been
given by P.H. Luft, JILA Information Center Report No. 14, 
October 1975.  Changes since then are minimally documented, 
but include accounting for the electrons produced by electron
impact ionization during either a spatial or temporal 
exponential growth.  See Yoshida et al as cited above.

These cross sections were derived to give a good fit 
to published electron transport, excitation coefficient, 
attachment coefficient, and ionization coefficient data 
for the pure gases.  In many cases they have been tested 
satisfactorily against similar swarm data for gas mixtures, 
e.g., CO2 laser mixtures, H2-Ar mixtures, N2-SF6 mixtures, 
and atmospheric pressure dry and moist air.  In several 
cases, e.g., He, Ar, and Xe, we have not attempted to 
distinguish among the various excited states and find the 
cross sections satisfactory for models of mixtures and of 
ionization and transport in the pure gases.

Please refer to the published articles where possible.  
Also, please inform me of any errors or inconsistencies.

Original file preparation 10/29/95.
Last revision of file 05/21/05.

A. V. Phelps, Retired
JILA
University of Colorado
Boulder, CO 80309-0440
e-mail: avp@jila.colorado.edu

General remarks on electron collision cross sections:

For a recent review of electron cross sections see:
T. D. Mark, Y. Hatano, and F. Linder, "Electron Collision 
Cross Sections" in "Atomic and molecular data for 
radiotherapy and radiation research" IAEA-TECDOC-799, May 
1995, Chapt. 2. This chapter contains graphical compilations 
of cross sections for Ne, Ar, H2, H2O, CO2, CH4, and C3H8. 
These cross sections have not been compared to those given 
in this file.

M. Hayashi has prepared very extensive bibliographies of papers on 
electron collisions with Ar, H2, O2, N2, CO, H2O, halogen 
molecules, hydrogen halide molecules, CO2, CH4, NH3, and PH3. Some
of these reoprts contain recommended cross sections. Available 
reports are entitled "Bibliography of electron and photon 
cross sections with atoms and molecules published in the 20th century 
- [name of gas] -", National Institute for Fusion Research, Report 
NIFS-Data Series NIFS-DATA-[??]. Unfortunately, the cross sections 
are not available on the Web

Very extensive reviews and compilations of published electron-atom 
and electron-molecule cross sections have been prepared by A. 
Zecca, G. P. Karwasz, and Brusa, Riv. Nuovo Cimento 19, No. 3, 
1-146 (1996) and G. P. Karwasz, R. S. Brusa, and A. Zecca, Riv. 
Nuovo Cimento 24, No. 1, 1-118 (2001) and No. 4, 1-101 (2001). 
Data shown are selected on the basis of  “perceived quality”, 
but no recommended values are given.  Apparently floppy disk(s?) 
giving tabulations can be purchased from the Italian Physical 
Society.  I have not seen the disks, i.e., they are too expensive.  
Unfortunately for gas discharge modeling, the data ranges in 
the review papers are limited, especially for momentum transfer 
cross sections that can differ greatly from "total" cross sections
at the higher energies. 

Stephen Biagi at sfb@hep.ph.liv.ac.uk has derived a sets of 
cross sections for electron collisions with ~ 50 different gases 
that are required to be consistent with electron swarm data. The ~50 
gases include: N2, O2, H20, Ar, CO2, He, Ne, H2, D2, CH4, etc.
Unfortunately, the tabulations of these cross sections are not 
available on the Web.

A recent review of electron-molecule collisions is 
Hotop, Ruf, Allan, and Frabrikant, "Resonances and threshold 
phenomena in low energy electron collisions with molecules and 
clusters", in Advances in Atomic, Molecular and Optical Physics,
(Elsevier, 2003) Vol. 49.

A review of experimental integrated and differential cross section
data for electron collisions with some diatomic molecules is 
Brunger and Buckman, Physics Reports, 357, 215 (2002).  The gases 
discussed include H2, O2, N2, the halogens,NO, CO, and halogen 
halides.  This data is tabulated in Landolt-Bornstein, Vol. 17, 
Subvol. C, pp. 35-55 (2003).  Also, Vol 17, Subvol. A is concerned
with electron and photon collisions with atoms, but I do not have 
access to this volume or its data.

GENERAL WARNING TO GAS DISCHARGE MODELERS:

IF AUTHORS DO NOT EXPLICITLY STATE THAT THERE IS AGREEMENT BETWEEN 
A) IONIZATION, EXCITATION, ATTACHMMENT (IF APPLICABLE), AND TRANSPORT 
COEFFICIENTS CALCULATED USING THEIR CROSS SECTIONS AND B) RELIABLE 
EXPERIMENTAL MEASUREMENTS OF THESE COEFFICIENTS, YOU SHOULD BE
VERY SKEPTICAL OF ALL OF THEIR CROSS SECTIONS AND OF ELECTRON 
TRANSPORT AND REACTION COEFFICIENT RESULTS DERIVED FROM THEM.  
AGREEMENT WITH SWARM EXPERIMENTS SUCH AS IONIZATION COEFFICIENT, 
DRIFT VELOCITY, THE RATIO OF THE TRANSVERSE AND LOGITUDINAL DIFFUSION 
COEFFICIENT TO MOBILITY, ATTACHMENT COEFFICIENTS, AND EXCITATION 
COEFFICIENTS ARE CRICIAL EVIDENCE OF A RELIABLE SET OF INPUT CROSS 
SECTIONS FOR MODELING.  FOR EACH GAS IN THIS FILE WE HAVE SUMMARIZED 
OUR TESTS OF THE CROSS SECTIONS AGAINST EXPERIMENTAL SWARM DATA.

OXYGEN - O2 - 1978
These cross sections are those developed in Lawton and Phelps, J.
Chem. Phys. 69, 1055 (1978).  The agreement of the transport 
and reaction coefficients is good and is discussed in detail 
in this paper.  Information Center Report No. 28 is based on 
the same computer files as used to assemble the following data.  
As of 9/28/01 I know of no reason to change the cross sections.

Note that the "cross sections" listed under the heading of 
three-body attrachment are expressed as equivalent cross 
sections at an O2 density of 1 molecule/cm3.  This means 
that the rate coefficients k and spatial attachment 
coefficients alpha/n calculated using BACKPRO must be 
multiplied by the O2 density in molecules/cm3 to obtain the 
equivalent of the two-body coefficients per molecule calculated 
for other processes, such as excitation and ionization.  

O2 MOMENTUM-TRANSFER CROSS SECTION

            ENERGY        Effective Qm - Defined in introduction
   1        0.0000        0.3500
   2        0.0010        0.3500
   3        0.0020        0.3600
   4        0.0030        0.4000
   5        0.0050        0.5000
   6        0.0070        0.5800
   7        0.0085        0.6400
   8        0.0100        0.7000
   9        0.0150        0.8700
  10        0.0200        0.9900
  11        0.0300        1.2400
  12        0.0400        1.4400
  13        0.0500        1.6000
  14        0.0700        2.1000
  15        0.1000        2.5000
  16        0.1200        2.8000
  17        0.1500        3.1000
  18        0.1700        3.3000
  19        0.2000        3.6000
  20        0.2500        4.1000
  21        0.3000        4.5000
  22        0.3500        4.7000
  23        0.4000        5.2000
  24        0.5000        5.7000
  25        0.7000        6.1000
  26        1.0000        7.2000
  27        1.2000        7.9000
  28        1.3000        7.9000
  29        1.5000        7.6000
  30        1.7000        7.3000
  31        1.9000        6.9000
  32        2.1000        6.6000
  33        2.2000        6.5000
  34        2.5000        6.1000
  35        2.8000        5.8000
  36        3.0000        5.7000
  37        3.3000        5.5000
  38        3.6000        5.4500
  39        4.0000        5.5000
  40        4.5000        5.5500
  41        5.0000        5.6000
  42        6.0000        6.0000
  43        7.0000        6.6000
  44        8.0000        7.1000
  45       10.0000        8.0000
  46       12.0000        8.5000
  47       15.0000        8.8000
  48       17.0000        8.7000
  49       20.0000        8.6000
  50       25.0000        8.2000
  51       30.0000        8.0000
  52       50.0000        7.7000
  53       75.0000        6.8000
  54      100.0000        6.5000
  55      150.0000        6.7000
  56      200.0000        6.0000
  57      300.0000        4.9000
  58      500.0000        3.6000
  59      700.0000        2.9000
  60     1000.0000        2.1200
  61     1500.0000        1.4800
  62     2000.0000        1.1400
  63     3000.0000        0.7900
  64     5000.0000        0.5100
  65     7000.0000        0.3800
  66    10000.0000        0.2800

O2 THREE-BODY ATTACHMENT                                                                 
ENERGY LOSS =    0.000 ,   LOWER LIMIT =    0.000 ,   UPPER LIMIT =    1.058 ,   
QSCALE =     1.000000  (QSCALE USED ONLY FOR RECONSTRUCTING INPUT DATA)

              ENERGY     CROSS SECTION
     1        0.0000        0.0000 
     2        0.0580        0.0000            
     3        0.0730       5.6E-21           
     4        0.0830      18.0E-21          
     5        0.0890       4.2E-21            
     6        0.0950       8.4E-21            
     7        0.1030      18.0E-21            
     8        0.1090        0.0000            
     9        0.1500        0.0000            
    10        0.1700        0.0000            
    11        0.2000        0.0000            
    12        0.2100      3.56E-21            
    13        0.2300        0.0000            
    14        0.3200        0.0000            
    15        0.3300      2.30E-21            
    16        0.3500        0.0000            
    17        0.4400        0.0000            
    18        0.4500      1.45E-21            
    19        0.4700        0.0000
    20        0.5600        0.0000
    21        0.5700       1.1E-21
    22        0.5900        0.0000
    23        0.6800        0.0000
    24        0.6900       8.0E-22
    25        0.7100        0.0000
    26        0.7900        0.0000
    27        0.8000       7.0E-22
    28        0.8200        0.0000
    29        0.9000        0.0000
    30        0.9100       5.5E-22
    31        0.9300        0.0000
    32        1.0200        0.0000
    33        1.0300       4.2E-22
    34        1.0500        0.0000
    35        1.5000        0.0000
    36    10000.0000        0.0000


O2 TWO-BODY ATTACHMENT                                                                   
ENERGY LOSS =    0.000 ,   LOWER LIMIT =    0.000 ,   UPPER LIMIT =  100.001 ,   
QSCALE =     1.200000

              ENERGY     CROSS SECTION
     1        0.0000        0.0000            
     2        4.4000        0.0000            
     3        4.9000        0.0000            
     4        5.3800        0.0023            
     5        5.8600        0.0072            
     6        6.1000        0.0108            
     7        6.4800        0.0138            
     8        6.7700        0.0152            
     9        7.0500        0.0156            
    10        7.3000        0.0148            
    11        7.5300        0.0131
    12        7.7700        0.0110
    13        8.0000        0.0084
    14        8.2500        0.0054
    15        8.7300        0.0028
    16        9.2000        0.0014
    17        9.6800        0.0008
    18       10.1500        0.0008
    19       11.3500        0.0008
    20    10000.0000        0.0000

O2 SINGL LEVEL ROT PKQ FOR 300K                                                          
ENERGY LOSS =    0.020 ,   LOWER LIMIT =    0.026 ,   UPPER LIMIT =    1.677 ,   
QSCALE =     1.000000

              ENERGY     CROSS SECTION                  ENERGY     CROSS SECTION
     1        0.0000        0.0000            
     2        0.0067        0.0000            
     3        0.0700        0.0000            
     4        0.0800        0.0054            
     5        0.1000        0.0000            
     6        0.2000        0.0000            
     7        0.2100        0.0216            
     8        0.2200        0.0000            
     9        0.3200        0.0000            
    10        0.3300        0.0384            
    11        0.3500        0.0000            
    12        0.4400        0.0000            
    13        0.4500        0.0540            
    14        0.4700        0.0000            
    15        0.5600        0.0000            
    16        0.5700        0.0672            
    17        0.5900        0.0000            
    18        0.6800        0.0000            
    19        0.6900        0.0804            
    20        0.7100        0.0000            
    21        0.7900        0.0000            
    22        0.8000        0.0936            
    23        0.8100        0.0000            
    24        0.9000        0.0000            
    25        0.9100        0.0840
    26        0.9300        0.0000
    27        1.0200        0.0000
    28        1.0300        0.0720
    29        1.0500        0.0000
    30        1.1300        0.0000
    31        1.1400        0.0468
    32        1.1600        0.0000
    33        1.2300        0.0000
    34        1.2300        0.0600
    35        1.2600        0.0000
    36        1.3400        0.0000
    37        1.3500        0.0360
    38        1.3700        0.0000
    39        1.4400        0.0000
    40        1.4500        0.0240
    41        1.4700        0.0000
    42        1.5400        0.0000
    43        1.5500        0.0120
    44        1.5700        0.0000
    45        1.6400        0.0000
    46        1.6500        0.0048
    47        1.6700        0.0000
    48    10000.0000        0.0000

O2 V=1 LINDER AND SCHMIDT WITH SPLIT PK                                                  
ENERGY LOSS =    0.190 ,   LOWER LIMIT =    0.181 ,   UPPER LIMIT =    5.005 ,   
QSCALE =     2.500000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000            
     2        0.1900        0.0000            
     3        0.2000        0.0010            
     4        0.2100        0.0010            
     5        0.2300        0.0000            
     6        0.3200        0.0000            
     7        0.3300        0.4150            
     8        0.3500        0.0000            
     9        0.4400        0.0000            
    10        0.4500        1.3500            
    11        0.4700        0.0000            
    12        0.5600        0.0000            
    13        0.5700        1.8500            
    14        0.5900        0.0000            
    15        0.6800        0.0000            
    16        0.6900        1.6500            
    17        0.7100        0.0000            
    18        0.7900        0.0000            
    19        0.8000        1.0000            
    20        0.8200        0.0000            
    21        0.9000        0.0000            
    22        0.9100        0.6000            
    23        0.9300        0.0000            
    24        1.0200        0.0000            
    25        1.0300        0.2850
    26        1.0500        0.0000
    27        1.1300        0.0000
    28        1.1400        0.1125
    29        1.1600        0.0000
    30        1.2300        0.0000
    31        1.2400        0.0475
    32        1.2600        0.0000
    33        1.3400        0.0000
    34        1.3500        0.0165
    35        1.3700        0.0000
    36        1.4400        0.0000
    37        1.4500        0.0055
    38        1.4700        0.0000
    39        1.5400        0.0000
    40        1.5500        0.0019
    41        1.5700        0.0000
    42        1.6300        0.0000
    43        1.6500        0.0006
    44        1.6700        0.0000
    45        3.5000        0.0000
    46        4.0000        0.0000
    47        5.0000        0.0000
    48    10000.0000        0.0000

O2 V=2 LINDER AND SCHMIDT X2                                                             
ENERGY LOSS =    0.380 ,   LOWER LIMIT =    0.439 ,   UPPER LIMIT =    5.005 ,   
QSCALE =     1.250000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        0.3800        0.0000            
     3        0.4400        0.0000            
     4        0.4500        0.0000            
     5        0.4700        0.0000            
     6        0.5600        0.0000            
     7        0.5700        0.1400            
     8        0.5900        0.0000            
     9        0.6800        0.0000            
    10        0.6900        0.4150            
    11        0.7100        0.0000            
    12        0.7900        0.0000            
    13        0.8000        0.5350            
    14        0.8200        0.0000            
    15        0.9000        0.0000            
    16        0.9100        0.4650            
    17        0.9300        0.0000            
    18        1.0200        0.0000            
    19        1.0300        0.3150            
    20        1.0500        0.0000            
    21        1.1300        0.0000            
    22        1.1400        0.2000
    23        1.1600        0.0000
    24        1.2300        0.0000
    25        1.2400        0.0950
    26        1.2600        0.0000
    27        1.3400        0.0000
    28        1.3500        0.0400
    29        1.3700        0.0000
    30        1.4400        0.0000
    31        1.4500        0.0185
    32        1.4700        0.0000
    33        1.5400        0.0000
    34        1.5500        0.0085
    35        1.5700        0.0000
    36        1.6300        0.0000
    37        1.6500        0.0034
    38        1.6700        0.0000
    39        3.5000        0.0000
    40        4.0000        0.0000
    41        5.0000        0.0000
    42    10000.0000        0.0000

O2 V=3 LINDER AND SCHMIDT X2 WITH 9EV RES FRM WONG-TRAJMAR                      
        
ENERGY LOSS =    0.570 ,   LOWER LIMIT =    0.671 ,   UPPER LIMIT =   44.995 ,   
QSCALE =     1.250000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        0.5700        0.0000            
     3        0.6800        0.0000            
     4        0.6900        0.0037            
     5        0.7100        0.0000            
     6        0.7900        0.0000            
     7        0.8000        0.0215            
     8        0.8200        0.0000            
     9        0.9000        0.0000            
    10        0.9100        0.0900            
    11        0.9300        0.0000            
    12        1.0200        0.0000            
    13        1.0300        0.1200            
    14        1.0500        0.0000            
    15        1.1300        0.0000            
    16        1.1400        0.1150            
    17        1.1600        0.0000            
    18        1.2300        0.0000            
    19        1.2400        0.0950            
    20        1.2600        0.0000            
    21        1.3400        0.0000            
    22        1.3500        0.0550            
    23        1.3700        0.0000            
    24        1.4400        0.0000            
    25        1.4500        0.0300
    26        1.4700        0.0000
    27        1.5400        0.0000
    28        1.5500        0.0165
    29        1.5700        0.0000
    30        1.6300        0.0000
    31        1.6500        0.0080
    32        1.6700        0.0000
    33        3.5000        0.0000
    34        4.0000        0.0000
    35        5.0000        0.0000
    36        6.0000        0.0125
    37        7.0000        0.0363
    38        8.0000        0.0588
    39        9.0000        0.0750
    40       10.0000        0.0675
    41       11.0000        0.0563
    42       12.0000        0.0475
    43       13.0000        0.0300

    44       14.0000        0.0175
    45       15.0000        0.0088
    46       20.0000        0.0000
    47       45.0000        0.0000
    48    10000.0000        0.0000

O2 V=4 LINDER AND SCHMIDT X2 WITH 9EV RES FRM WONG-TRAJMAR                      
        
ENERGY LOSS =    0.750 ,   LOWER LIMIT =    0.748 ,   UPPER LIMIT =   14.990 ,   
QSCALE =     1.250000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        0.7500        0.0000            
     3        0.7900        0.0000            
     4        0.8000        0.0015            
     5        0.8200        0.0000            
     6        0.9000        0.0000            
     7        0.9100        0.0055            
     8        0.9300        0.0000            
     9        1.0200        0.0000            
    10        1.0300        0.0003            
    11        1.0500        0.0000            
    12        1.1300        0.0000            
    13        1.1400        0.0165            
    14        1.1600        0.0000            
    15        1.2300        0.0000            
    16        1.2400        0.0315            
    17        1.2600        0.0000            
    18        1.3400        0.0000            
    19        1.3500        0.0335            
    20        1.3700        0.0000            
    21        1.4400        0.0000
    22        1.4500        0.0285
    23        1.4700        0.0000
    24        1.5400        0.0000
    25        1.5500        0.0215
    26        1.5700        0.0000
    27        1.6300        0.0000
    28        1.6500        0.0165
    29        1.6700        0.0000
    30        6.0000        0.0000
    31        7.0000        0.0275
    32        8.0000        0.0350
    33        9.0000        0.0413
    34       10.0000        0.0462
    35       11.0000        0.0313
    36       12.0000        0.0250
    37       13.0000        0.0175
    38       14.0000        0.0088
    39       15.0000        0.0000
    40    10000.0000        0.0000

O2 SING DELTA FROM LINDER-SCHMIDT AND TRAJMAR ET AL                                     
 
ENERGY LOSS =    0.977 ,   LOWER LIMIT =    0.929 ,   UPPER LIMIT =  100.001 ,   
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        0.9770        0.0000            
     3        1.5000        0.0058            
     4        2.0000        0.0153            
     5        3.0000        0.0380            
     6        3.5000        0.0490            
     7        4.0000        0.0570            
     8        5.0000        0.0740            
     9        5.6200        0.0825            
    10        5.9100        0.0862            
    11        6.1900        0.0888            
    12        6.5300        0.0908            
    13        6.9900        0.0914            
    14        7.6100        0.0891
    15        7.8900        0.0863
    16        8.9600        0.0768
    17       10.0400        0.0679
    18       13.0000        0.0527
    19       15.1000        0.0455
    20       17.5000        0.0387
    21       20.5000        0.0324
    22       24.9000        0.0256
    23       30.9000        0.0196
    24       41.0000        0.0137
    25       45.0000        0.0120
    26    10000.0000        0.0000

O2 B SINGLET SIGMA FROM LINDER-SCHMIDT AND TRAJMAR ET AL                           
     
ENERGY LOSS =    1.627 ,   LOWER LIMIT =    1.496 ,   UPPER LIMIT =  100.001 ,   
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        1.6270        0.0000            
     3        2.0000        0.0026            
     4        3.0000        0.0097            
     5        3.5000        0.0133            
     6        4.0000        0.0149            
     7        5.0000        0.0182            
     8        5.6900        0.0194            
     9        6.5400        0.0194            
    10        7.3400        0.0191            
    11        8.4100        0.0183            
    12        9.2600        0.0174            
    13       10.0000        0.0160            
    14       13.0000        0.0130
    15       14.9000        0.0130
    16       17.0000        0.0130
    17       19.4000        0.0125
    18       20.7000        0.0125
    19       22.5000        0.0110
    20       24.0000        0.0100
    21       28.0000        0.0080
    22       35.1000        0.0063
    23       41.9000        0.0018
    24       45.1000        0.0005
    25     1000.0000        0.0000
    26    10000.0000        0.0000


O2 V=1  9V RES OF WONG ET AL NORM TO TRAJMAR ET AL                                        
ENERGY LOSS =    0.190 ,   LOWER LIMIT =    3.999 ,   UPPER LIMIT =   44.995 ,   
QSCALE =     1.000000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000            
     2        4.0000        0.0000            
     3        5.0000        0.0420            
     4        6.0000        0.1000            
     5        7.0000        0.1760            
     6        8.0000        0.2310            
     7        9.0000        0.2470            
     8       10.0000        0.2340            
     9       11.0000        0.1860
    10       12.0000        0.1430
    11       13.0000        0.1020
    12       14.0000        0.0710
    13       15.0000        0.0400
    14       20.0000        0.0100
    15       45.0000        0.0000
    16    10000.0000        0.0000

O2 V=2  9V RES OF WONG ET AL NORM TO TRAJMAR ET AL                                        
ENERGY LOSS =    0.380 ,   LOWER LIMIT =    3.999 ,   UPPER LIMIT =   44.995 ,   
QSCALE =     1.000000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000            
     2        4.0000        0.0000            
     3        5.0000        0.0280            
     4        6.0000        0.0400            
     5        7.0000        0.0730            
     6        8.0000        0.0940            
     7        9.0000        0.1100            
     8       10.0000        0.1090            
     9       11.0000        0.0930
    10       12.0000        0.0730
    11       13.0000        0.0510
    12       14.0000        0.0280
    13       15.0000        0.0130
    14       20.0000        0.0050
    15       45.0000        0.0000
    16    10000.0000        0.0000

O2 4.5 LOSS                                                                              
ENERGY LOSS =    4.500 ,   LOWER LIMIT =    4.386 ,   UPPER LIMIT =   14.990 ,   
QSCALE =     1.000000

              ENERGY     CROSS SECTION         
     1        0.0000        0.0000             
     2        4.5000        0.0000            
     3        4.8000        0.0030            
     4        5.0000        0.0090            
     5        5.5000        0.0300            
     6        6.0000        0.0650            
     7        6.5000        0.0850            
     8        7.0000        0.0950           
     9        7.5000        0.1000
    10        8.0000        0.1000
    11        9.0000        0.0850
    12       10.0000        0.0700
    13       12.0000        0.0450
    14       15.0000        0.0000
    15       50.0000        0.0000
    16    10000.0000        0.0000

O2 6.0 LOSS                                                                              
ENERGY LOSS =    6.000 ,   LOWER LIMIT =    5.882 ,   UPPER LIMIT =  100.001 ,   
QSCALE =     1.000000

              ENERGY     CROSS SECTION         
     1        0.0000        0.0000             
     2        6.0000        0.0000             
     3        7.0000        0.1500             
     4        7.8000        0.2300            
     5        9.0000        0.2300            
     6       10.0000        0.2100            
     7       12.0000        0.1650
     8       15.0000        0.1050
     9       17.0000        0.0650
    10       20.0000        0.0475
    11       45.0000        0.0190
    12    10000.0000        0.0000

O2 8.4 LOSS HAYASHI ABOVE 20EV - CHANTRY BELOW                                           
ENERGY LOSS =    8.400 ,   LOWER LIMIT =    8.282 ,   UPPER LIMIT =  100.001 ,   
QSCALE =     1.000000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000            
     2        8.4000        0.0000            
     3        9.4000        1.0000            
     4       30.0000        0.9000            
     5       50.0000        0.7000            
     6      100.0000        0.5400            
     7      150.0000        0.3200            
     8      200.0000        0.2700            
     9      300.0000        0.1700            
    10      500.0000        0.1090
    11      700.0000        0.0800
    12     1000.0000        0.0580
    13     1500.0000        0.0420
    14     2000.0000        0.0330
    15     3000.0000        0.0240
    16     5000.0000        0.0160
    17     7000.0000        0.0120
    18    10000.0000        0.0090

O2 9.97 LOSS TRAJMAR                                                                     
ENERGY LOSS =   10.000 ,   LOWER LIMIT =    9.778 ,   UPPER LIMIT =  100.001 ,   
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       10.0000        0.0000            
     3       20.0000        0.0130            
     4       30.0000        0.0260            
     5       40.0000        0.0400            
     6       50.0000        0.0500            
     7       60.0000        0.0600            
     8       70.0000        0.0650            
     9       80.0000        0.0700            
    10      100.0000        0.0700            
    11      120.0000        0.0500            
    12      150.0000        0.0400            
    13      170.0000        0.0350
    14      200.0000        0.0300
    15      300.0000        0.0200
    16      500.0000        0.0120
    17      700.0000        0.0080
    18     1000.0000        0.0050
    19     1500.0000        0.0000
    20     2000.0000        0.0000
    21     3000.0000        0.0000
    22     5000.0000        0.0000
    23     7000.0000        0.0000
    24    10000.0000        0.0000

O2 IONIZATION
ENERGY LOSS =   12.060 ,   LOWER LIMIT =   11.894 ,   UPPER LIMIT =  100.001 ,  
WEIGHT = 31.740000, EBR=   17.400000, QSCALE=    1.000000

              ENERGY     CROSS SECTION    
     1        0.0000        0.0000            
     2       12.0600        0.0000            
     3       13.0000        0.0230            
     4       18.0000        0.2000            
     5       28.0000        0.7400            
     6       38.0000        1.3200            
     7       48.0000        1.8000            
     8       58.0000        2.1000            
     9       68.0000        2.3300            
    10       78.0000        2.5000            
    11       88.0000        2.6000            
    12      100.0000        2.7000            
    13      150.0000        2.7000
    14      200.0000        2.5000
    15      300.0000        2.1700
    16      500.0000        1.6600
    17      700.0000        1.3500
    18     1000.0000        1.0400
    19     1500.0000        0.7600
    20     2000.0000        0.6000
    21     3000.0000        0.4200
    22     5000.0000        0.2700
    23     7000.0000        0.2000
    24    10000.0000        0.1400

O2 130 NM LINE MUMMA-ZIPF                                                                
ENERGY LOSS =   14.700 ,   LOWER LIMIT =   14.500 ,   UPPER LIMIT =  100.001 ,   
QSCALE =     1.000000

              ENERGY     CROSS SECTION         
     1        0.0000        0.0000             
     2       14.7000        0.0000             
     3       20.0000        0.0085             
     4       25.0000        0.0160            
     5       30.0000        0.0225            
     6       40.0000        0.0280            
     7       60.0000        0.0370
     8       70.0000        0.0380
     9       80.0000        0.0390
    10      100.0000        0.0380
    11      500.0000        0.0000
    12    10000.0000        0.0000

THE FOLLOWING IS NOT PART OF THE ABOVE 1978 SET OF CROSS SECTIONS:

O2 DISSOCIATION - BASED ON TABLE I OF 
P. C. Cosby, J. Chem. Phys. 98, 9560 (1993).

For use in BACKPRO one would need to extend this to the maximum energy of 
the calculation.  I haven't looked to see what would make the best cross 
section to use as a guide - probably the 9.97 eV loss cross section.

ENERGY     CROSS SECTION
0         0
8         0         
13.5      0.22
18.5      0.53
21        0.56
23.5      0.52
28.5      0.59
33.5      0.66
38.5      0.61
48.5      0.53
58.5      0.44
73.5      0.37
98.5      0.33
148.5     0.30
198.5     0.29

A rough estimate of the dissociation of O2 by electrons at
high energies is to use the cross section and rate coefficient 
for the "O2 8.4 LOSS" process given in the above tabe.  This 
approximation will considerably over estimate the dissociation 
according to Cosby at below 30 eV and most usual E/n.  The 
similarity to the estimated Schuman-Runge excitation in the 
1978 set is not surprising, but the discrepancy at energies 
below 30 eV is very bothersome.

A way to calculate the rate coefficients for dissociation of O2 
by electrons is to use the "O2 DISSOCIATION" cross section 
listed above by first multiplying it by, for example, 1E-4; 
using BACKPRO or equivalent to calculate rate coefficients for 
the combined set of cross sections; and multiplying the rate 
coefficient for dissociation by 1E4.  This procedure preserves 
the energy balance, transport coefficients, and ionization 
coefficients of the 1978 set.

ELECTRON ATTACHMENT TO EXCITED O2

These notes were assembled in response to an inquiry as to the
data available data on electron attachment to excited O2.

1)  The dissociative attachment cross section for
O2a-state appears to have been measured most recently
by Jaffke, Meinke, Hashemi, Christophorou, and
Illenberger, Chem. Phys. Lett. 193, 62 (1992).  The
cross section is roughly a Gaussian with a peak
magnitude of 5.7E-18 cm^2 at 5.3 eV.  Other
measurements give significantly lower peak cross
sections of 4.6+-1.3E-18 (Burrow, 1973) and
3.8+-1.2E-18 cm^2 (Belic and Hall, 1981).  Note that if
the Belic and Hall value for the fractional excitation
of the O2a-state were high, e.g., if they missed gas
density reduction because of possible gas heating and
flow effects, their cross section would be low.  I
suggest using a peak value of 5E-18 cm^2.   

Note that some of the experiments show a second peak in
the dissociative attachment cross section from the
O2a-state.  It peaks at 7.5 eV and has a magnitude of
1.7E-18 cm^2.

A very rough estimate of the effects of including
dissociative attachment to the O2a-state is a factor of
two increase in the rate of O formation at typical
discharge electron average energies.  The rate
coefficient for this process would decrease as the
average electron energy is decreased.

2) One should also consider dissociative attachment
from the b-state.  Unfortunately there appear to be no
cross sections.  I would expect the cross section to be
roughly a Gaussian shifted down in energy from that of
the O2a-state dissociative attachment curve by about
the difference in the O2a- and O2b-state thresholds of
0.65 eV.  It should be larger in magnitude by a
significant factor because of a higher survival factor.

I would suggest a peak magnitude of 10E-17 cm^2, which
is close to the maximum allowed for a peak of
reasonable energy width.  Apparently, the dissociative
process is expected to have a second peak at about 6.9
eV.  I would guess this peak to be roughly 5E-18 cm^2.

Overall these processes mean perhaps a factor of 1.5
increase in O formation at high O2b-state
concentration.  Again, the rate coefficient for this
process would decrease as the average electron energyHas 
is decreased.

3) Dissociative attachment to vibrationally excited O2
has been measured, but probably theory is more useful. 
See O'Malley, Phys. Rev. 155, 59 (1967).  Because of
the fast relaxation of vibrationally excited O2 by O,
this may not increase the O- formation significantly.

4) Three-body attachment of electrons to the O2a-state
molecules has been predicted theoretically to be as
much as 1000 times smaller than that for O2X-state
molecules.  See Aleksandrov, Chem. Phys. Lett. 212, 409
(1993).  This will result in a some decrease in the
calculated overall three-body attachment rate
coefficient when the O2a-state fraction becomes
significant.

REVISION OF TOTAL AND PARTIAL IONIZATION CROSS SECTIONS:

See Straub et al, Phys. Rev. A 54, 2146 (1996) and 
Stebbings and Lindsay, J. Chem. Phys. 114, 4741 (2001).

RECENT DEVELOPMENTS:

Stephen Biagi at sfb@hep.ph.liv.ac.uk has derived a set of 
electron-O2 cross sections that differ somewhat from the 
above set.  I still prefer the low energy cross sections 
given above.  However, the available experimental and 
theoretical data does not provide definitive values.  
Communicated January 2002

Latest O2 changes 12/18/03

***************************************************************

NITROGEN - N2 - 1985 SET OF PHELPS AND PITCHFORD

These cross sections are those used in Phelps and 
Pitchford, Phys. Rev. 31, 2932 (1985).  The values tabulated 
in JILA Information Center Report No. 26 are from the same 
computer files.  Since this report was issued, we have 
recommended that the values listed in the report for the 
C^3Pi_u excitation cross section with a threshold at 11.03 eV 
be multiplied by 0.67.  See footnote 15 of Jelenkovic and 
Phelps, Phys. Rev. 36, 5310 (1987).  A few errors in Report 
No. 26 pointed out by M. Hayashi have been corrected, i.e., 
entry 21 for the 11.03 eV loss and entry 3 for the 11.88 eV 
loss.  Here the ionization cross section of Report 26 has 
been divided into two parts so as to facilitate calculation 
of the production N2 1st Negative band emission.

For each of the electronic excitation cross sections in this 1985 
set one can recover the cross section obtained by Phelps and 
Pitchford from analyses of electron beam experiments and theory.  
To do this simply divide the tabulated cross sections by the 
quantity QSCALE listed at the head of the table for that process.

The QSCALE factors in this file are given only so that one can 
recover the input data to BACKPRO, e.g., the input data used by 
P&P (1985).  These QSCALE values should NOT be used when the 
tabulated data is used as input for BACKPRO, i.e., use QSCALE=1.
For N2 these input data were either Schulz’s published vibrational 
excitation cross sections with modification near threshold or 
the electronic excitation cross sections derived by P&P (1985) 
from the literature. The tabulated numbers in Report 26 and 
ELECTRON.TXT (this file) are the result of applying the QSCALE 
factors to the input.  These tabulated values (except for 
C^3Pi_u - see above) were used in the Boltzmann calculations 
of P&P (1985).

It has been pointed out by several authors that the vibrational
excitation cross sections tabilated here (based on Schulz) 
should be updated on the basis of later beam experiments and
theory. However, we find good agreement with six (6) different 
experimental transport and rate coefficients using these cross 
sections and BACKPRO (Levron and Phelps, unpublished).  These
coefficients are drift velocity, characteristic energy, 
ionization, metastable (A^3 Sigma) excitation, C^3 Pi 
excitation, and N2 heating at E/n < 40 Td via rotational 
excitation and anharmonic relaxation of vibrational excitation.  
We therefore believe one would have to have a very strong 
reason before making any significant change in these cross 
sections.  For example, a preliminary investigation (Haddad and 
Phelps, unpublished) suggests that the changes in cross sections 
accompanying the use of a multiterm spherical harmaonic code are 
small.  As a second example, Hadded and Phelps found that the
resonance in the rotational excitation cross section found 
theoretically by Onda and included in the cross sections 
recommended by Itikawa et al. J. Phys. Chem. Ref. Data 15, 
985 (1986) is inconsistent with swarm data and should be ignored.

A good estimate of the dissociation of N2 by electrons is to 
use 0.7 times the cross section and rate coefficient for the
"N2 SUM OF SINGLET STATES" given below.  This approximation will 
be too low for electron energies below 15 eV and very low E/n.  
An alternative is to use the "N2 DISSOCIATION" cross section 
as described below.

See below, for comments on a new set of electron-N2 excitation 
cross sections published by Campbell et al (2001).

N2 MOMENTUM-TRANSFER CROSS SECTION

For guidance when extracting an elastic momentum transfer cross
section from this data see Fig. 1 of Phelps and Pitchford (1985).

            ENERGY        Effective Qm - Defined in introduction
   1        0.0000        1.1000
   2        0.0010        1.3600
   3        0.0020        1.4900
   4        0.0030        1.6200
   5        0.0050        1.8100
   6        0.0070        2.0000
   7        0.0085        2.1000
   8        0.0100        2.1900
   9        0.0150        2.5500
  10        0.0200        2.8500
  11        0.0300        3.4000
  12        0.0400        3.8500
  13        0.0500        4.3300
  14        0.0700        5.1000
  15        0.1000        5.9500
  16        0.1200        6.4500
  17        0.1500        7.1000
  18        0.1700        7.4000
  19        0.2000        7.9000
  20        0.2500        8.5000
  21        0.3000        9.0000
  22        0.3500        9.4000
  23        0.4000        9.7000
  24        0.5000        9.9000
  25        0.7000       10.0000
  26        1.0000       10.0000
  27        1.2000       10.4000
  28        1.3000       11.0000
  29        1.5000       12.0000
  30        1.7000       13.8000
  31        1.9000       19.6000
  32        2.1000       27.0000
  33        2.2000       28.5000
  34        2.5000       30.0000
  35        2.8000       28.0000
  36        3.0000       21.7000
  37        3.3000       17.2000
  38        3.6000       14.7000
  39        4.0000       12.6000
  40        4.5000       11.3000
  41        5.0000       10.9000
  42        6.0000       10.4000
  43        7.0000       10.1000
  44        8.0000       10.0000
  45       10.0000       10.4000
  46       12.0000       10.9000
  47       15.0000       11.0000
  48       17.0000       10.7000
  49       20.0000       10.2000
  50       25.0000        9.5000
  51       30.0000        9.0000
  52       50.0000        8.6000
  53       75.0000        6.6000
  54      100.0000        5.8000
  55      150.0000        4.9000
  56      200.0000        4.2000
  57      300.0000        3.3000
  58      500.0000        2.4400
  59      700.0000        1.9600
  60     1000.0000        1.5500
  61     1500.0000        1.1200
  62     2000.0000        0.8100
  63     3000.0000        0.6300
  64     5000.0000        0.4000
  65     7000.0000        0.2900
  66    10000.0000        0.2100

N2 ROT EXT USING SUM OF SCHULZ VIBRATION IN A SINGLE-LEVEL
APPROXIMATION.                                                 
THIS IS TO BE USED IN ADDTION TO THE CAR APPROXIMATION.
ENERGY LOSS =    0.020 ,   LOWER LIMIT =    0.000 ,   UPPER LIMIT =    5.005 ,   
QSCALE =     1.000000 (QSCALE USED ONLY FOR RECONSTRUCTING INPUT DATA - SEE INTRO.)


              ENERGY     CROSS SECTION    
     1        0.0000        0.0000            
     2        0.0200        0.0000            
     3        0.0300        0.0000            
     4        0.4000        0.0000            
     5        0.8000        0.0000            
     6        1.2000        0.0600            
     7        1.6000        0.1800            
     8        1.7000        0.2300            
     9        1.8000        0.4000            
    10        1.9000        1.4100            
    11        2.0000        5.1300            
    12        2.1000        5.4200            
    13        2.2000        5.1400            
    14        2.3000        6.9000            
    15        2.4000        6.0400
    16        2.5000        6.4500
    17        2.6000        5.1000
    18        2.7000        4.2400
    19        2.8000        3.7500
    20        2.9000        2.1100
    21        3.0000        2.3200
    22        3.1000        1.9400
    23        3.2000        1.4000
    24        3.3000        0.9400
    25        3.6000        0.3800
    26        5.0000        0.0000
    27       20.0000        0.0000
    28     1000.0000        0.0000

N2 V=1 ENGELHARDT, PHELPS, & RISK BELOW 1.6 PLUS 2.3 EV RES  MODIFED FEB
82                                
ENERGY LOSS =    0.290,   LOWER LIMIT =    0.258,   UPPER LIMIT =   80.006,   
QSCALE =     1.000000

              ENERGY     CROSS SECTION    
     1        0.0000        0.0000            
     2        0.2900        0.0000            
     3        0.3000        0.0010            
     4        0.3300        0.0017            
     5        0.4000        0.0025            
     6        0.7500        0.0037            
     7        0.9000        0.0055            
     8        1.0000        0.0065            
     9        1.1000        0.0090            
    10        1.1600        0.0110            
    11        1.2000        0.0125            
    12        1.2200        0.0135            
    13        1.4000        0.0700            
    14        1.5000        0.1000            
    15        1.6000        0.1500            
    16        1.6500        0.0000
    17        3.6000        0.0000
    18        4.0000        0.0550
    19        5.0000        0.0350
    20       15.0000        0.0350
    21       18.0000        0.0400
    22       20.0000        0.0650
    23       22.0000        0.0850
    24       23.0000        0.0850
    25       25.0000        0.0600
    26       29.0000        0.0300
    27       32.0000        0.0150
    28       50.0000        0.0120
    29       80.0000        0.0000
    30     1000.0000        0.0000

N2 V=1  RES SCHULZ 64                                                                    
ENERGY LOSS =    0.291 ,   LOWER LIMIT =    1.600 ,   UPPER LIMIT =    3.999 ,   
QSCALE =     1.500000

              ENERGY     CROSS SECTION    
     1        0.0000        0.0000            
     2        0.2910        0.0000            
     3        1.6000        0.0000            
     4        1.6500        0.2700            
     5        1.7000        0.3150            
     6        1.8000        0.5400            
     7        1.9000        1.4850            
     8        2.0000        4.8000            
     9        2.1000        2.5650            
    10        2.2000        1.2000            
    11        2.3000        4.5000            
    12        2.4000        2.7600            
    13        2.5000        1.5900            
    14        2.6000        3.1500            
    15        2.7000        1.5450
    16        2.7500        0.6000
    17        2.8000        1.3500
    18        2.9000        0.5250
    19        3.0000        0.8700
    20        3.1000        1.1700
    21        3.2000        0.8550
    22        3.3000        0.6600
    23        3.4000        0.6000
    24        3.5000        0.5850
    25        3.6000        0.5700
    26        4.0000        0.0000
    27      100.0000        0.0000
    28     1000.0000        0.0000

N2 V=2 SCHULZ 64                                                                         
ENERGY LOSS =    0.590 ,   LOWER LIMIT =    1.677 ,   UPPER LIMIT =    3.612 ,   
QSCALE =     1.500000

              ENERGY     CROSS SECTION    
     1        0.0000        0.0000            
     2        0.5900        0.0000            
     3        1.7000        0.0000            
     4        1.8000        0.0150            
     5        1.9000        0.6300            
     6        2.0000        1.9350            
     7        2.1000        3.3000            
     8        2.2000        1.4700            
     9        2.3000        0.5400            
    10        2.4000        2.1150            
    11        2.5000        3.0000            
    12        2.6000        0.5400            
    13        2.7000        1.0500
    14        2.7500        1.7250
    15        2.8000        1.2750
    16        2.9000        0.3300
    17        3.0000        0.9000
    18        3.1000        0.6450
    19        3.2000        0.3750
    20        3.3000        0.3450
    21        3.4000        0.3000
    22        3.5000        0.2130
    23        3.6000        0.0000
    24     1000.0000        0.0000

N2 V=3 SCHULZ 64                                                                         
ENERGY LOSS =    0.880 ,   LOWER LIMIT =    1.677 ,   UPPER LIMIT =    3.406 ,   
QSCALE =     1.500000

              ENERGY     CROSS SECTION    
     1        0.0000        0.0000            
     2        0.8800        0.0000            
     3        1.9000        0.0000            
     4        2.0000        0.9600            
     5        2.1000        2.0550            
     6        2.2000        2.7000            
     7        2.3000        1.6950            
     8        2.4000        0.0750            
     9        2.5000        0.9600            
    10        2.6000        1.4700            
    11        2.7000        0.4500
    12        2.7500        0.9600
    13        2.8000        0.5400
    14        2.9000        0.8550
    15        3.0000        0.4050
    16        3.1000        0.2820
    17        3.2000        0.2910
    18        3.3000        0.0615
    19        3.4000        0.0000
    20     1000.0000        0.0000

N2 V=4 SCHULZ 64                                                                         
ENERGY LOSS =    1.170 ,   LOWER LIMIT =    1.883 ,   UPPER LIMIT =    3.302 ,   
QSCALE =     1.500000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000            
     2        1.1700        0.0000            
     3        2.0000        0.0000            
     4        2.1000        0.2025            
     5        2.2000        1.5150            
     6        2.3000        2.3850            
     7        2.4000        1.4400            
     8        2.5000        0.5550            
     9        2.6000        0.0825            
    10        2.7000        1.2000
    11        2.7500        1.0950
    12        2.8000        0.6750
    13        2.9000        0.0300
    14        3.0000        0.3300
    15        3.1000        0.3150
    16        3.2000        0.0600
    17        3.3000        0.0000
    18     1000.0000        0.0000

N2 V=5 SCHULZ 64                                                                         
ENERGY LOSS =    1.470 ,   LOWER LIMIT =    1.883 ,   UPPER LIMIT =    3.406 ,   
QSCALE =     1.500000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000            
     2        1.4700        0.0000            
     3        2.1000        0.0000            
     4        2.2000        0.8250            
     5        2.3000        1.2300            
     6        2.4000        1.5300            
     7        2.5000        1.4400            
     8        2.6000        0.3450            
     9        2.7000        0.0225            
    10        2.7500        0.3450
    11        2.8000        0.5400
    12        2.9000        0.6600
    13        3.0000        0.2175
    14        3.1000        0.1050
    15        3.2000        0.3150
    16        3.3000        0.1035
    17        3.4000        0.0000
    18     1000.0000        0.0000

N2 V=6 SCHULZ 64                                                                         
ENERGY LOSS =    1.760 ,   LOWER LIMIT =    2.193 ,   UPPER LIMIT =    3.199 ,   
QSCALE =     1.500000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000            
     2        1.7600        0.0000            
     3        2.2000        0.0000            
     4        2.3000        0.0063            
     5        2.4000        1.1250            
     6        2.5000        1.7400            
     7        2.6000        1.3800            
     8        2.7000        0.7800            
     9        2.7500        0.4500
    10        2.8000        0.3150
    11        2.9000        0.2460
    12        3.0000        0.4800
    13        3.1000        0.1635
    14        3.2000        0.0000
    15      100.0000        0.0000
    16     1000.0000        0.0000

N2 V=7 SCHULZ 64                                                                         
ENERGY LOSS =    2.060 ,   LOWER LIMIT =    2.296 ,   UPPER LIMIT =    3.509 ,   
QSCALE =     1.500000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000            
     2        2.0600        0.0000            
     3        2.3000        0.0000            
     4        2.4000        0.0126            
     5        2.5000        0.3900            
     6        2.6000        0.6600            
     7        2.7000        0.9600            
     8        2.7500        0.7950            
     9        2.8000        0.6000            
    10        2.9000        0.1800
    11        3.0000        0.0063
    12        3.1000        0.1920
    13        3.2000        0.2040
    14        3.3000        0.0780
    15        3.4000        0.0189
    16        3.5000        0.0000
    17      100.0000        0.0000
    18     1000.0000        0.0000

N2 V=8 SCHULZ 64                                                                         
ENERGY LOSS =    2.350 ,   LOWER LIMIT =    2.477 ,   UPPER LIMIT =    3.509 ,   
QSCALE =     1.500000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000            
     2        2.3500        0.0000            
     3        2.5000        0.0000            
     4        2.6000        0.0189            
     5        2.7000        0.3600            
     6        2.7500        0.3600            
     7        2.8000        0.3300            
     8        2.9000        0.3450            
     9        3.0000        0.2640
    10        3.1000        0.0375
    11        3.2000        0.0063
    12        3.3000        0.1545
    13        3.4000        0.0252
    14        3.5000        0.0000
    15      100.0000        0.0000
    16     1000.0000        0.0000

N2 A3SIGMA-CARTWRIGHT 1977  V=0-4                                                        
ENERGY LOSS =    6.170 ,   LOWER LIMIT =    5.986 ,   UPPER LIMIT =  150.001 ,   
QSCALE =     1.000000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000            
     2        6.1700        0.0000            
     3        7.0000        0.0010            
     4        7.8000        0.0028            
     5        8.5000        0.0043            
     6        9.0000        0.0057            
     7       10.0000        0.0082            
     8       11.0000        0.0100            
     9       12.0000        0.0120            
    10       13.0000        0.0130            
    11       14.0000        0.0140            
    12       16.0000        0.0150            
    13       17.0000        0.0150            
    14       18.0000        0.0140
    15       20.0000        0.0120
    16       22.0000        0.0100
    17       24.0000        0.0089
    18       26.0000        0.0076
    19       30.0000        0.0059
    20       34.0000        0.0049
    21       40.0000        0.0039
    22       50.0000        0.0034
    23       70.0000        0.0007
    24      150.0000        0.0000
    25      500.0000        0.0000
    26     1000.0000        0.0000

N2 A3SIGMA-CARTWRIGHT 1977  V=5-9                                                        
ENERGY LOSS =    7.000 ,   LOWER LIMIT =    6.785 ,   UPPER LIMIT =  150.001 ,   
QSCALE =     1.000000

              ENERGY     CROSS SECTION    
     1        0.0000        0.0000            
     2        7.0000        0.0000            
     3        7.3000        0.0020            
     4        7.8000        0.0050            
     5        8.5000        0.0150            
     6        9.0000        0.0220            
     7       10.0000        0.0340            
     8       11.0000        0.0430            
     9       12.0000        0.0500            
    10       13.0000        0.0550            
    11       14.0000        0.0600            
    12       16.0000        0.0650            
    13       17.0000        0.0650            
    14       18.0000        0.0620
    15       20.0000        0.0530
    16       22.0000        0.0450
    17       24.0000        0.0380
    18       26.0000        0.0330
    19       30.0000        0.0250
    20       34.0000        0.0210
    21       40.0000        0.0170
    22       50.0000        0.0140
    23       70.0000        0.0029
    24      150.0000        0.0000
    25      500.0000        0.0000
    26     1000.0000        0.0000

N2 B3PI-CARTWRIGHT 1977                                                                  
ENERGY LOSS =    7.350 ,   LOWER LIMIT =    6.992 ,   UPPER LIMIT =  150.001 ,   
QSCALE =     0.670000(QSCALE USED ONLY FOR RECONSTRUCTING INPUT DATA - SEE N2 INTRO.)


              ENERGY     CROSS SECTION        
     1        0.0000        0.0000            
     2        7.3500        0.0000            
     3        8.0000        0.0362            
     4        9.0000        0.0938            
     5       10.0000        0.1508            
     6       11.0000        0.1863            
     7       12.0000        0.2003            
     8       13.0000        0.1990            
     9       14.0000        0.1816            
    10       15.0000        0.1615            
    11       16.0000        0.1447            
    12       17.0000        0.1307            
    13       18.0000        0.1199
    14       20.0000        0.1112
    15       22.0000        0.0951
    16       26.0000        0.0804
    17       30.0000        0.0677
    18       34.0000        0.0563
    19       40.0000        0.0429
    20       50.0000        0.0268
    21       70.0000        0.0067
    22      150.0000        0.0000
    23      500.0000        0.0000
    24     1000.0000        0.0000

N2 W3DELTA-CARTWRIGHT 1977                                                               
ENERGY LOSS =    7.360 ,   LOWER LIMIT =    7.198 ,   UPPER LIMIT =  150.001 ,   
QSCALE =     0.670000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000            
     2        7.3600        0.0000            
     3        8.0000        0.0181            
     4        9.0000        0.0496            
     5       10.0000        0.0804            
     6       11.0000        0.1112            
     7       12.0000        0.1427            
     8       14.0000        0.2050            
     9       15.0000        0.2352            
    10       16.0000        0.2546            
    11       17.0000        0.2519            
    12       18.0000        0.2345            
    13       20.0000        0.1776            
    14       22.0000        0.1320
    15       24.0000        0.1025
    16       26.0000        0.0844
    17       28.0000        0.0724
    18       30.0000        0.0630

    19       34.0000        0.0496
    20       40.0000        0.0348
    21       50.0000        0.0201
    22       70.0000        0.0100
    23      100.0000        0.0047
    24      150.0000        0.0000
    25      500.0000        0.0000
    26     1000.0000        0.0000

N2 A3SIGMA-CARTWRIGHT 1977  V=10-                                                        
ENERGY LOSS =    7.800 ,   LOWER LIMIT =    7.585 ,   UPPER LIMIT =  150.001 ,   
QSCALE =     1.000000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000            
     2        7.8000        0.0000            
     3        8.1000        0.0015            
     4        8.5000        0.0040            
     5        8.7000        0.0070            
     6        9.0000        0.0110            
     7       10.0000        0.0290            
     8       11.0000        0.0440            
     9       12.0000        0.0510            
    10       13.0000        0.0560            
    11       14.0000        0.0600            
    12       16.0000        0.0660            
    13       17.0000        0.0670            
    14       18.0000        0.0630
    15       20.0000        0.0540
    16       22.0000        0.0460
    17       24.0000        0.0390
    18       26.0000        0.0330
    19       30.0000        0.0260
    20       34.0000        0.0210
    21       40.0000        0.0170
    22       50.0000        0.0150
    23       70.0000        0.0030
    24      150.0000        0.0000

    25      500.0000        0.0000
    26     1000.0000        0.0000

N2 BPRI3SIGMA-CARTWRIGHT 1977                                                            
ENERGY LOSS =    8.160 ,   LOWER LIMIT =    7.998 ,   UPPER LIMIT =  150.001 ,   
QSCALE =     0.670000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000            
     2        8.1600        0.0000            
     3        9.0000        0.0107            
     4       10.0000        0.0235            
     5       11.0000        0.0369            
     6       12.0000        0.0496            
     7       13.0000        0.0630            
     8       14.0000        0.0757            
     9       15.0000        0.0838            
    10       16.0000        0.0764            
    11       17.0000        0.0616            
    12       18.0000        0.0489            
    13       19.0000        0.0409
    14       20.0000        0.0362
    15       22.0000        0.0315
    16       26.0000        0.0268
    17       30.0000        0.0228
    18       34.0000        0.0194
    19       40.0000        0.0161
    20       50.0000        0.0127
    21       70.0000        0.0067
    22      150.0000        0.0000
    23      500.0000        0.0000
    24     1000.0000        0.0000

N2 APRI1SIGMA-CARTWRIGHT 1977                                                            
ENERGY LOSS =    8.400 ,   LOWER LIMIT =    8.179 ,   UPPER LIMIT =  500.004 ,   
QSCALE =     0.670000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000            
     2        8.4000        0.0000            
     3        9.0000        0.0067            
     4       11.0000        0.0301            
     5       13.0000        0.0536            
     6       14.0000        0.0643            
     7       15.0000        0.0697            
     8       16.0000        0.0570            
     9       17.0000        0.0429            
    10       18.0000        0.0348            
    11       19.0000        0.0308
    12       20.0000        0.0275
    13       24.0000        0.0201
    14       30.0000        0.0154
    15       40.0000        0.0124
    16       50.0000        0.0121
    17       70.0000        0.0100
    18      150.0000        0.0067
    19      500.0000        0.0000
    20     1000.0000        0.0000

N2 A1PI-CARTWRIGHT 1977                                                                  
ENERGY LOSS =    8.550 ,   LOWER LIMIT =    8.282 ,   UPPER LIMIT =  999.002 ,   
QSCALE =     0.670000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000            
     2        8.5500        0.0000            
     3        9.0000        0.0127            
     4       14.0000        0.1474            
     5       15.0000        0.1715            
     6       16.0000        0.1916            
     7       17.0000        0.2023            
     8       18.0000        0.1990            
     9       19.0000        0.1923            
    10       20.0000        0.1849            
    11       24.0000        0.1621            
    12       26.0000        0.1528            
    13       30.0000        0.1367

    14       40.0000        0.1065
    15       50.0000        0.0851
    16       70.0000        0.0603
    17      100.0000        0.0402
    18      150.0000        0.0268
    19      200.0000        0.0201
    20      250.0000        0.0161
    21      300.0000        0.0134
    22      500.0000        0.0082
    23      700.0000        0.0060
    24     1000.0000        0.0042

N2 W1DELTA-CARTWRIGHT 1977                                                               
ENERGY LOSS =    8.890 ,   LOWER LIMIT =    8.488 ,   UPPER LIMIT =  150.001 ,   
QSCALE =     0.670000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000            
     2        8.8900        0.0000            
     3        9.0000        0.0013            
     4       10.0000        0.0261            
     5       11.0000        0.0476            
     6       12.0000        0.0663            
     7       13.0000        0.0784            
     8       14.0000        0.0771            
     9       15.0000        0.0670            
    10       16.0000        0.0543            
    11       17.0000        0.0442
    12       18.0000        0.0375
    13       20.0000        0.0288
    14       22.0000        0.0241
    15       30.0000        0.0154
    16       38.0000        0.0094
    17       50.0000        0.0047
    18      150.0000        0.0000
    19      500.0000        0.0000
    20     1000.0000        0.0000

N2 C3PI-CARTWRIGHT 1977 -FINN-KISKER THRESHOLD SCALED BY PHELPS              
           
ENERGY LOSS =   11.030 ,   LOWER LIMIT =   10.784 ,   UPPER LIMIT =  150.001 ,   
QSCALE =     1.000000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000            
     2       11.0300        0.0000            
     3       11.5000        0.0270            
     4       12.0000        0.0620            
     5       12.5000        0.1310            
     6       13.0000        0.2900            
     7       13.5000        0.4900            
     8       13.8000        0.6200            
     9       14.0000        0.6500            
    10       14.2000        0.6400            
    11       14.5000        0.6300            
    12       15.0000        0.5500            
    13       16.0000        0.4300            
    14       17.0000        0.3500            
    15       18.0000        0.3000            
    16       19.0000        0.2700
    17       20.0000        0.2500
    18       22.0000        0.2100
    19       24.0000        0.1770
    20       26.0000        0.1500
    21       28.0000        0.1280
    22       30.0000        0.1110
    23       36.0000        0.0780
    24       40.0000        0.0630
    25       50.0000        0.0390
    26       70.0000        0.0150
    27      100.0000        0.0015
    28      150.0000        0.0000
    29      500.0000        0.0000
    30     1000.0000        0.0000

N2 E3SIGMA-CARTWRIGHT 1977                                                               
ENERGY LOSS =   11.880 ,   LOWER LIMIT =   11.481 ,   UPPER LIMIT =  150.001 ,   
QSCALE =     0.670000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000            
     2       11.8700        0.0000            
     3       11.9200        0.0496            
     4       12.7000        0.0007            
     5       17.0000        0.0034            
     6       19.0000        0.0042            
     7       20.0000        0.0047            
     8       22.0000        0.0052            
     9       24.0000        0.0054            
    10       26.0000        0.0054
    11       28.0000        0.0044
    12       30.0000        0.0034
    13       32.0000        0.0027
    14       40.0000        0.0012
    15       50.0000        0.0005
    16      150.0000        0.0000
    17      500.0000        0.0000
    18     1000.0000        0.0000

N2 ADPRI1SIGMA-CARTWRIGHT 1977                                                           
ENERGY LOSS =   12.250 ,   LOWER LIMIT =   11.997 ,   UPPER LIMIT =  999.002 ,   
QSCALE =     0.670000

              ENERGY     CROSS SECTION    
     1        0.0000        0.0000            
     2       12.2500        0.0000            
     3       13.0000        0.0054            
     4       15.0000        0.0188            
     5       16.0000        0.0248            
     6       17.0000        0.0301            
     7       18.0000        0.0348            
     8       19.0000        0.0382            
     9       20.0000        0.0389            
    10       22.0000        0.0342            
    11       24.0000        0.0275            
    12       26.0000        0.0228          
    13       30.0000        0.0154
    14       36.0000        0.0114

    15       40.0000        0.0107
    16       50.0000        0.0090
    17       70.0000        0.0068
    18      100.0000        0.0050
    19      150.0000        0.0036
    20      200.0000        0.0029
    21      300.0000        0.0020
    22      500.0000        0.0013
    23      700.0000        0.0010
    24     1000.0000        0.0008

N2 SUM OF SINGLET STATES-ZIPF-MCLAUGHLIN 1978                                            
ENERGY LOSS =   13.000 ,   LOWER LIMIT =   12.487 ,   UPPER LIMIT =  999.002 ,   
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       13.0000        0.0000            
     3       14.0000        0.0810            
     4       15.0000        0.1900            
     5       16.0000        0.2500            
     6       17.0000        0.4200            
     7       18.0000        0.5200            
     8       20.0000        0.7500            
     9       22.0000        0.9600            
    10       25.0000        1.1900            
    11       30.0000        1.4800            
    12       40.0000        1.6500
    13       60.0000        1.7600
    14       80.0000        1.6800
    15      100.0000        1.5800
    16      150.0000        1.3300
    17      200.0000        1.1600
    18      250.0000        1.0500
    19      300.0000        0.9600
    20      500.0000        0.7400
    21      700.0000        0.6400
    22     1000.0000        0.5300


BASED ON RAPP,ENGLANDER-GOLDEN,1965 AND BORST-ZIPF. PRODUCTION OF X^2Sigma AND A^2Pi STATES OF N2+                                    
ENERGY LOSS =   15.600 ,   LOWER LIMIT =   15.480 ,   UPPER LIMIT =  999.002 ,   
EBR=   13.000000,    QSCALE=    0.930000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       15.6000        0.0000            
     3       16.0000        0.0195            
     4       16.5000        0.0428            
     5       17.0000        0.0660            
     6       17.5000        0.0911            
     7       18.0000        0.1200            
     8       18.5000        0.1516            
     9       19.0000        0.1841            
    10       19.5000        0.2130            
    11       20.0000        0.2502            
    12       21.0000        0.3181            
    13       22.0000        0.3869            
    14       23.0000        0.4557            
    15       25.0000        0.5924
    16       30.0000        0.9579
    17       34.0000        1.1718
    18       45.0000        1.6461
    19       60.0000        2.0181
    20       75.0000        2.2134
    21      100.0000        2.3436
    22      150.0000        2.2692
    23      200.0000        2.1018
    24      300.0000        1.7763
    25      500.0000        1.3485
    26      700.0000        1.0788
    27     1000.0000        0.8556
    28     1500.0000        0.7440

N2+ B2SIGMA EXCITATION - BORST   ZIPF.     PRODUCTION OF B^2Sigma STATE OF N2+                                           
ENERGY LOSS =   18.800 ,   LOWER LIMIT =   17.983 ,   UPPER LIMIT =10000.003 ,   
EBR=   13.000000,    QSCALE=    1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       18.8000        0.0000            
     3       19.0000        0.0012            
     4       19.6000        0.0048            
     5       20.0000        0.0071            
     6       30.0000        0.0720            
     7       35.0000        0.1010            
     8       40.0000        0.1210            
     9       45.0000        0.1360            
    10       50.0000        0.1470            
    11       60.0000        0.1600            
    12       80.0000        0.1710            
    13       90.0000        0.1730
    14      100.0000        0.1740
    15      150.0000        0.1700
    16      300.0000        0.1320
    17      500.0000        0.1030
    18      700.0000        0.0830
    19     1000.0000        0.0640
    20     1500.0000        0.0570
    21     2000.0000        0.0370
    22     4000.0000        0.0215
    23     7000.0000        0.0138
    24    10000.0000        0.0104

END OF PHELPS AND PITCHFORD 1985 SET.

---------

THE FOLLOWING ARE NOT PART OF THE PHELPS AND PITCHFORD (1985) SET OF 
CROSS SECTIONS AND ARE NOT LISTED IN JILA REPOT #26.

RECENT EXCITATION CROSS SECTION RESUTS AND THEIR INTERPRETATION

Very recently Campbell, Brunger, Nolan, Kelly, Wedding, 
Harrison, Teubner, Cartwright, and McLaughlin, J. Phys. B 34, 
1185 (2001) have re-evaluated the published excitation cross 
section data for the important ten lowest electronic states of
N2 and have used this data for a re-analysis of electron 
transport data in N2.  They conclude that the integrated 
cross sections recommended by Phelps and Pitchford (P&P), 
Phys. Rev. 31, 2932 (1985) and tabulated above in this file 
are too small by a significant factor.  My analysis of this
important work is outlined below.

1) A study of their paper finds that their published 
electronic excitation cross sections (their Table 1) for the 
first ten excited states of N2 are in rather good agreement 
with the cross sections derived by (P&P) from the literature.  
The disagreement between these 10 cross sections of Campbell 
et al and the values tabulated above arises because of the 
application by P&P of scaling factors of 2/3 to several of the 
subject cross sections.  See the QSCALE values listed above.  
In other words, if the QSCALE factors from the above table 
were reset to 1.0 there would be no disagreement outside 
stated uncertainties as to the cross sections for excitation 
of the first 10 levels and no significant disagreement as to 
the interpretation of beam experiments and theory for these 
states.

2) For the higher threshold excited states of N2, i.e., 
primarily the singlet states, we believe that the cross sections 
of P&P (1985) are the more reliable.  Apparently the cross 
section set of Campbell et al (2001), other than the first ten 
states, is from the work of Nolan and of Kelly and was "intended 
for the simulation of low to moderate" E/N.

3) The comparisons of the results of P&P (1985) with experiment
in both Fig. 8 of P&P and in Figs. 5 through 9 of Campbell et 
al (2001) require clarification because of the changes in the 
magnitude of the various transport coefficients with the 
experimental technique being modeled.  See Tagashira et al, 
J. Phys. D 10, 1051 (1977) and Blevin et al, Aust. J. Phys. 
37, 593 (1984).  As stated in the text of P&P, but not in 
Fig. 8, the calculations are almost all made for an 
exponentially growing and spatially uniform electron swarm 
(no density gradients), whereas as the experiments shown are 
mostly of the time-of-flight type.  As a result, one expects 
the experimental values to lie above the P&P model results. See 
Taniguchi et al, J. Phys. D 11, 1757 (1978) for comparisons 
of results for various types of experiments obtained using a 
somewhat different set of cross sections for electrons in N2.  
Similarly, one does not expect the the temporal growth results 
of P&P (1985) to agree closely with the time-of flight 
calculations of Campbell et al (2001) or with the some what 
divergent time-of-flight experiments of Wedding et al, J. Phys. 
D 18, 2361 (1985) and Roznerski, J. Phys. D 29, 614 (1996).

4) It should be kept in mind that the experimental values 
for the electron drift velocities and characteristic energies 
have changed since the experiments cited by P&P.  
Assuming that tne newer experimental results are better, the 
QSCALE factors used by P&P and tabulated above probably have 
to be changed toward unity and the cross sections for the 
first 10 states changed toward the Campbell et al (2001) values.

5) The net result of the inconsistencies in the published
comparisons of the results of P&P (1985) with experiments 
and with the calculated results of Campbell et al (2001) is 
that we do not know the errors resulting from the use of the 
P&P (1985) cross sections. Note that according to A. Nolan 
(private communication), Campbell et al (2001) did not 
calculate transport coefficients using the cross sections of 
P&P (1985) - unfortunately designated as the "JILA" set by 
Campbell et al. These and related questions have been 
investigated by A. Cenian and collaborators using 
Monte Carlo techniques.  See Cenian et al, J. Phys. B 35, 
5163 (2002); Cenian and Chernykho, Radiation Physics and 
Chemistry 68, 103 (2003).

6) My present guess (5/23/02) is that the uncertainties in the 
experimental transport data will turn out to be comparable 
with the differences in calculated drift velocities, 
characteristic energies, and ionization coefficients when 
using the cross sections of Campbell et al (2001) or those 
of P&P (1985) as tabulated above. If this is the case, then 
the fact that the Campbell et al cross sections for the first 
10 states are derived from electron beam experiments and 
theory would favor the use of the Campbell et al cross 
sections for the first 10 states and those listed above from 
P&P (1985) for the higher states.  Because of the problems 
in obtaining a listing of the Campbell et al cross sections 
and in dealing with the ~ 1 million entries, it is suggested 
that one obtain a very nearly equivalent cross section set 
for all electronic excitation by dividing the entries given 
above for P&P (1985) by their associated QSCALE factors.  
The vibrational excitation cross sections listed above 
should not be rescaled.

I thank A. Nolan and A. B. Wedding (private communication) 
for listings of the cross section sets of Campbell et al 
(2001).  I thank A. Cenian for several emails and preliminary 
Monte Carlo results leading to the analysis given here.

This discussion revised 12/18/2003

N2 DISSOCIATION - FROM TABLE II OF 
P. C. Cosby, J. Chem. Phys. 98, 9544 (1993).

For use in BACKPRO one would need to extend this to the 
maximum energy of the calculation using the "SUM OF SINGLETS" 
cross section as a guide.  

DO NOT ADD THIS TO THE SET OF CROSS SECTIONS GIVEN ABOVE.  SUCH AN
ERROR WOULD COUNT DISSOCIATION TWICE IN THE BOLTZMANN CALCULATION.
SIMILARLY, FOR THE DISSOCIATION CROSS SECTION OF WINTERS (1966).

To use this cross section listed below with any
Boltzmann code that uses the cross section set given above:
1) multiply it by a small number, for example, 1E-4; 
2) use BACKPRO or equivalent to calculate rate coefficients for 
the combined set of cross sections; 
3) multiply the rate coefficient for dissociation by 1E4.  
This procedure preserves the energy balance, transport 
coefficients, and ionization coefficients of the 1985 set.

ENERGY     CROSS SECTION
0         0
10        0         
12        0.01
14        0.04
16        0.20
18        0.36
20        0.52
25        0.87
30        1.04
40        1.15
50        1.23
60        1.23
80        1.20
100       1.16
125       1.10
150       1.04
175       0.99
200       0.95

.....

For a recent prediction of cross sections and rate 
coefficients for electron induced transitions between
vibrationallly excited levels of the N2(X) state, see 
Mihajlov, Stojanovic, and Petrovic, J. Phys. B 32, 
2620 (1999).

N2 - ANALYTICAL APPROXIMATIONS TO DIFFERENTIAL SCATTERING 
CROSS SECTIONS FOR ELECTRON SCATTERING

We use a screened-Coulomb type scattering formula to 
approximate the angular distributions of scattered electrons.
Our choice allows fitting data that is predominantly backward
scattering, e.g., O2 at low energies, and goes over 
to predominantly forward scattering at high energies.  

The differential scattering cross section 
i(theta,beta,en) is assumed to be

i = a*(1 -(1 - 2*beta[en])*Cos[theta])^-2

where theta is the scattering angle, beta is a 
screening parameter and is a function of the 
electron energy, and en is the electron energy. Here a 
is the conventional magnitude factor for Coulomb 
scattering and is a function of electron energy only.  

Integration yields the total cross section qt 

qt = -((a*Pi)/((-1 + beta)*beta));

and the momentum transfer cross section qm 

qm = (2*Pi*(a - 2*a*beta - a*Ln[2 - 2*beta] + 
      a*beta*Ln[2 - 2*beta] + a*Ln[2*beta] -
      a*beta*Ln[2*beta]))/((-1 + beta)*(-1 + 2*beta)^2)

so that the ratio of the momentum transfer cross section to the 
total cross sections qm/qt is

ratio = (2*beta*(-1 + 2*beta + 
         Ln[2 - 2*beta] - beta*Ln[2 - 2*beta] - 
         Ln[2*beta] + beta*Ln[2*beta]))/
        (-1 + 2*beta)^2;

The differential scattering cross sections normalized to 
the total cross section is

normi = i[theta,eta]/qt[beta]

so that probability of scattering through an 
angle less than theta0 is

prob = (1 - Cos[theta0])*(1 - beta)/
  (1 - (1 - 2*beta)Cos[theta0]);

For theta0 = Pi this is 1 as expected.  
We set prob equal to a random number, randomnum, and 
solve for the scattering angle theta0.

theta0 = ArcCos[(1 - beta - randomnum)/
      (1 - beta - randomnum + 2*beta*randomnum)]

Application to the scattering of electrons by N2:

As in Phelps and Pitchford, Phys. Rev. A 31, 2932 (1985),
we only attempt to fit the experimental angular 
distributions at energies for which the particular 
scattering cross section is important to the solution of 
the electron Boltzmann equation.  See Table I.

The empirical expressions used for the lowest two 
spherical harmonic components of the angular scattering 
are taken from Table I of this reference.  The magnitudes 
of the effective Qm and angular integrated qt for the various 
inelastic scattering processes can be taken from the tables 
given earlier in this file.

From Phelps and Pitchford, Phys. Rev. A 31, 2932 (1985), 
Table I, one obtains values of qm(en)/q0(en).  The 
empirical q1/q0 expressions are then set equal to the expression 
for "ratio" and the value of beta is evaluated numerically, 
not algebraically.  A graph of such beta values is then 
fitted by an algebraic expression for "empiricalbeta" by trial 
and error.  Note that here qm is the elastic momentum transfer 
cross secton, not the effective Qm.

q1/q0 = -0.2*en^0.5/(0.025+en^0.5)+
         1.2*(16*en^0.5+en)/(100+16*en^0.5+en);
qm/q0 = 1 - q1/q0; (q0 = qt everywhere);
empiricalbeta = .6/(1+(en/50.0)^0.5+(en/20.0)^1.01)^0.99;

Resonant vibrational excitation:
Since the scattering is roughly isotropic, beta = 0.5.
(Corrected 12/10/96 thanks to A. Gilardini)

Lower triplet states- A, B, and W:
q1/q0 = -en^2/(1500+en^2);
qm/q0 = 1 - q1/q0;
empiricalbeta = .5*(1+(en/20.0)^2)/(1+(en/28.2)^2);

Upper triplet state - C:
q1/q0 = -0.2;
qm/q0 = 1 - q1/q0;
empiricalbeta = .647;

Lower singlet state - a1Pi:
q1/q0 = (200000+ 160*en^2+en^4)/(200000+2600*en^2+en^4);
qm/q0 = 1 - q1/q0;
empiricalbeta = 0.4*(en/15.0)^2/(1+(en/30.0)^2+(en/22.0)^4);

Sum of singlets:
q1/q0 = en^2/(2500+en^2);
qm/q0 = 1 - q1/q0;
empiricalbeta = .5/(1+(en/37.0)^2.5);

The differential cross sections derived from the preceding 
tabulation have not been used in Boltzmann or Monte Carlo 
calculations so as to compare with the more detailed 
angular distributions used by others, e.g., Kunhardt and 
Tzeng, Phys. Rev. A 34, 2148 and 2158 (1986), Stojanovic, 
Jelenkovic, and Petrovic, J. Appl. Phys. 81, 1601 (1997),
and Stojanovic and Petrovic, J. Phys. D 31, 834 (1998). 
A similar approximation to the differential cross section
was made for N2 by Pitchford, Physics and Applications of 
Pseudo Sparks, (Wiley, New York, 1990) p. 319.  Also, 
Jelenkovic and Phelps (unpublished) (1995) have used 
such an approximation for Monte Carlo calculations for 
electrons in H2.  Belenguer and Pitchford, J. Appl. Phys. 
86, 4780 (1999) used this form for anisotropic electron-Ar 
collisions. 

A very thorough and more detailed representation of the 
differential cross sections for electrons in N2 at energies 
from 2.3 to 1000 eV is given by Porter et al, J. Geophys. 
Res. 92, 5933 (1987).

We thank A. Okhrimovskyy (8/27/00 and 3/8/01) for pointing out
a typographical in the equation for i, poor terminology 
in the discusstion of the cumulative probability, an 
inconsistency in the energy scales for the empirical beta 
formulas, and the need for more detail in the description of 
the evaluation the empirical beta.  

Added 11/10/01 Modified 02/28/02

REVISION OF PARTIAL IONIZATION CROSS SECTIONS

See Straub et al, Phys. Rev. A 54, 2146 (1996) and 
Stebbings and Lindsay, J. Chem. Phys. 114, 4741 (2001).

Stephen Biagi at sfb@hep.ph.liv.ac.uk has derived a set of 
electron-N2 cross sections that differ somewhat from our set
and somewhat from the set of Campbell et al. 
Communicated June 2002


latest N2 changes 12/18/03
************************************************************

PURE CO2- DEC 1978

CO2 MOMENTUM-TRANSFER CROSS SECTION

              ENERGY     Effective Qm - Defined in introduction       
     1        0.0000      600.0000            
     2        0.0010      540.0000            
     3        0.0020      380.0000            
     4        0.0030      307.0000            
     5        0.0050      237.0000            
     6        0.0070      200.0000            
     7        0.0085      182.0000            
     8        0.0100      170.0000            
     9        0.0150      138.0000            
    10        0.0200      120.0000            
    11        0.0300       97.0000            
    12        0.0400       85.0000            
    13        0.0500       76.0000            
    14        0.0700       63.0000            
    15        0.1000       50.0000            
    16        0.1200       44.0000            
    17        0.1500       39.0000            
    18        0.1700       34.0000            
    19        0.2000       29.0000            
    20        0.2500       24.0000            
    21        0.3000       18.0000            
    22        0.3500       15.0000            
    23        0.4000       13.0000            
    24        0.5000       10.0000            
    25        0.7000        7.1000            
    26        1.0000        5.2000            
    27        1.2000        4.8000            
    28        1.3000        4.7000            
    29        1.5000        4.6500            
    30        1.7000        4.6500            
    31        1.9000        4.8500
    32        2.1000        5.0500
    33        2.2000        5.2000

    34        2.5000        6.4000
    35        2.8000        7.6000
    36        3.0000        9.0000
    37        3.3000       11.5000
    38        3.6000       14.0000
    39        4.0000       15.2000
    40        4.5000       14.8000
    41        5.0000       12.7000
    42        6.0000       10.0000
    43        7.0000       10.0000
    44        8.0000       10.8000
    45       10.0000       12.1000
    46       12.0000       13.1000
    47       15.0000       14.4000
    48       17.0000       15.0000
    49       20.0000       15.8000
    50       25.0000       16.0000
    51       30.0000       15.8000
    52       50.0000       12.6000
    53       75.0000        9.5000
    54      100.0000        8.0000
    55      150.0000        6.0000
    56      200.0000        4.0000
    57      300.0000        3.7000
    58      500.0000        2.5000
    59      700.0000        2.0000
    60     1000.0000        1.6000

CO2 VIBRATIONAL EXCITATION - ASYMMETRIC STRETCH - BULOS & PHELPS
ENERGY LOSS =    0.083 ,   LOWER LIMIT =    0.050 ,   UPPER LIMIT =   20.009
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        0.0830        0.0000            
     3        0.0844        0.8500            
     4        0.0862        1.1600            
     5        0.0932        1.8500            
     6        0.1035        2.3000            
     7        0.1208        2.6000            
     8        0.1382        2.6800            
     9        0.1726        2.5400            
    10        0.2070        2.2000            
    11        0.2750        1.7200            
    12        0.3450        1.4300            
    13        0.5000        1.0800            
    14        0.7000        0.8000            
    15        0.9000        0.6600            
    16        1.1000        0.5700            
    17        1.4000        0.4500            
    18        1.6000        0.4200            
    19        1.8000        0.4400            
    20        2.3000        0.7000
    21        2.6000        0.9300
    22        3.0000        1.3400
    23        3.2000        1.5800
    24        3.4000        1.7500
    25        3.6000        1.8000
    26        3.8000        1.7900
    27        4.0000        1.7000
    28        4.2000        1.5200
    29        4.6000        1.0500
    30        5.1000        0.5700
    31        5.5000        0.5100
    32        6.0000        0.5000
    33        7.0000        0.4800
    34        8.0000        0.4500
    35       10.0000        0.2000
    36       20.0000        0.0000
    37       50.0000        0.0000
    38      100.0000        0.0000

CO2 VIBRATIONAL EXCITATION - BULOS & PHELPS
ENERGY LOSS =    0.167 ,   LOWER LIMIT =    0.126 ,   UPPER LIMIT =   20.009 
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        0.1670        0.0000            
     3        0.1720        0.3000            
     4        0.1800        0.3300            
     5        0.2000        0.3500            
     6        0.2500        0.3250            
     7        0.5000        0.1170            
     8        1.0000        0.0500            
     9        1.5000        0.0400            
    10        1.9000        0.0600            
    11        2.0000        0.0800            
    12        2.2500        0.2000            
    13        2.5000        0.4000            
    14        3.0000        1.2800            
    15        3.2000        1.5700
    16        3.4000        1.7700
    17        3.5500        1.7800
    18        3.7000        1.7500
    19        3.9000        1.6000
    20        4.1000        1.2800
    21        4.5000        0.8800
    22        4.9000        0.3900
    23        5.2000        0.3300
    24        6.0000        0.2700
    25        8.0000        0.2500
    26       10.0000        0.2100
    27       20.0000        0.0000
    28      100.0000        0.0000

CO2 VIBRATIOAL EXCITATION - BULOS & PHELPS 
ENERGY LOSS =    0.291 ,   LOWER LIMIT =    0.277 ,   UPPER LIMIT =   99.994 
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        0.2910        0.0000            
     3        0.3000        0.9500            
     4        0.3100        1.7000            
     5        0.3200        1.8500            
     6        0.3300        2.0000            
     7        0.3500        2.1500            
     8        0.3800        2.2000            
     9        0.4000        2.1500            
    10        0.4500        2.0000            
    11        0.5000        1.8500            
    12        0.6000        1.5500            
    13        0.8000        1.2300
    14        1.0000        1.0000
    15        1.5000        0.7600
    16        2.0000        0.6400
    17        3.0000        0.4900
    18        4.5000        0.4400
    19        6.0000        0.4100
    20        8.0000        0.4800
    21       10.0000        0.2600
    22       25.0000        0.1350
    23       30.0000        0.1000
    24      100.0000        0.0000

CO2 ENERGY LOSS =    0.339 ,   LOWER LIMIT =    1.386 ,   UPPER LIMIT =    5.065
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        0.3390        0.0000            
     3        1.5000        0.0000            
     4        1.9500        0.0700            
     5        2.5000        0.2000            
     6        3.0000        0.4100            
     7        3.5600        0.6600
     8        4.1000        0.3400
     9        4.5000        0.1550
    10        5.0600        0.0000
    11        6.0000        0.0000
    12      150.0000        0.0000

CO2 ENERGY LOSS =    0.252 ,   LOWER LIMIT =    2.394 ,   UPPER LIMIT =    5.998 
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        0.2520        0.0000            
     3        1.5000        0.0000            
     4        1.9500        0.0000            
     5        2.5000        0.0000            
     6        3.0000        0.3200            
     7        3.5600        0.5400
     8        4.1000        0.3400
     9        4.5000        0.1600
    10        5.0600        0.0440
    11        6.0000        0.0000
    12      150.0000        0.0000

CO2 ENERGY LOSS =    0.422 ,   LOWER LIMIT =    2.394 ,   UPPER LIMIT =    4.511
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        0.4220        0.0000            
     3        1.5000        0.0000            
     4        1.9500        0.0000            
     5        2.5000        0.0000            
     6        3.0000        0.1050            
     7        3.5600        0.2250
     8        4.1000        0.1000
     9        4.5000        0.0000
    10        5.0600        0.0000
    11        6.0000        0.0000
    12      200.0000        0.0000


CO2 ENERGY LOSS =    0.505 ,   LOWER LIMIT =    2.394 ,   UPPER LIMIT =    4.511 
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        0.5050        0.0000            
     3        1.5000        0.0000            
     4        1.9500        0.0000            
     5        2.5000        0.0000            
     6        3.0000        0.1560            
     7        3.5600        0.3300
     8        4.1000        0.1560
     9        4.5000        0.0000
    10        5.0600        0.0000
    11        6.0000        0.0000
    12      200.0000        0.0000

CO2 ENERGY LOSS =    2.500 ,   LOWER LIMIT =    2.394 ,   UPPER LIMIT =    4.511 
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        2.5000        0.0000            
     3        3.0000        0.1800            
     4        3.6000        0.2500
     5        4.1000        0.1800
     6        4.5000        0.0000
     7      100.0000        0.0000

CO2 ENERGY LOSS =    3.850 ,   LOWER LIMIT =    3.679 ,   UPPER LIMIT =    9.702 
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        3.8500        0.0000            
     3        4.3000        0.0014            
     4        4.5000        0.0014            
     5        5.1000        0.0000            
     6        6.6000        0.0000            
     7        7.2000        0.0007
     8        8.2000        0.0045
     9        8.4000        0.0042
    10        8.9000        0.0010
    11        9.7000        0.0000
    12      200.0000        0.0000

CO2 ENERGY LOSS =    7.000 ,   LOWER LIMIT =    6.880 ,   UPPER LIMIT =   11.012
QSCALE =     1.000000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000             
     2        7.0000        0.0000             
     3        8.0000        0.6000             
     4        8.5000        0.6000
     5       11.0000        0.0000
     6      100.0000        0.0000

CO2 ENERGY LOSS =   10.500 ,   LOWER LIMIT =   10.382 ,   UPPER LIMIT =   99.994 
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       10.5000        0.0000            
     3       12.0000        0.6900            
     4       12.7000        0.7300            
     5       13.5000        0.7800            
     6       15.0000        0.8800
     7       17.0000        1.0400
     8       20.0000        1.2400
     9       40.0000        3.6000
    10      100.0000        6.3000

CO2 ENERGY LOSS =   13.300 ,   LOWER LIMIT =   13.180 ,   UPPER LIMIT =   99.994 
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       13.3000        0.0000            
     3       14.5000        0.0600            
     4       15.0000        0.1040            
     5       16.0000        0.1880            
     6       18.0000        0.3590            
     7       20.0000        0.5320
     8       30.0000        1.6300

     9       40.0000        2.2800
    10       50.0000        2.7900
    11       70.0000        3.4300
    12      100.0000        3.7900

We thank Prof. A. Dickinson for pointing out an inconsistency 
in the Qm table at 0.0085 eV.  

For temperature depedent transport coefficients at low E/n see 
Haddad and Elford, J. Phys. B 12, L743 (1979); Elford and Haddad, 
Aust. J. Phys. 33, 317 (1980); and Hergerberg, Elford, and 
Crompton, ibid, 33, 985 (1980).

REVISION OF TOTAL AND PARTIAL IONIZATION CROSS SECTIONS

See Straub et al, J. Chem. Phys. 105, 4015 (1996).

M. Hayashi has assembled references and derived an electron-Ar cross 
section set in a report entitled "Bibliography of electron and photon 
cross sections with atoms and molecules published in the 20th century 
- carbon dioxide", National Institute for Fusion Research Research, Report 
NIFS-Data Series NIFS-DATA-74, Apr. 2003. The report cited is one of 
a series that reviews electron collisions with Ar, Xe, SF6, and N2.

Latest CO2 change 12/29/03

*******************************************************************

CARBON MONOXIDE

These cross sections are very similar to those developed by 
Land, J. Appl. Phys. 49, 5716 (1978).  As of 10/95 I know of no 
reason to change them.

USE CAR DIPOLE (0.046 e*ao) AND QUADRUPOLE (1.38E-4 e*ao^2) FOR 
ROTATIONAL EXCITATION.  THE QUADRUPOLE CONTRIBUTION IS SMALL.
(SEE LUFT -1975- FOR UNITS USED IN BACKPRO)

CO MOMENTUM-TRANSFER CROSS SECTION

            ENERGY       Effective Qm - Defined in introduction
   1        0.0000       60.0000
   2        0.0010       40.0000
   3        0.0020       25.0000
   4        0.0030       17.7000
   5        0.0050       12.3000
   6        0.0070        9.8000
   7        0.0085        8.6000
   8        0.0100        7.8000
   9        0.0150        6.5000
  10        0.0200        5.9000
  11        0.0300        5.4000
  12        0.0400        5.2000
  13        0.0500        5.4000
  14        0.0700        6.1000
  15        0.1000        7.3000
  16        0.1200        7.7000
  17        0.1500        8.8000
  18        0.1700        9.3000
  19        0.2000       10.0000
  20        0.2500       11.2000
  21        0.3000       12.1000
  22        0.3500       13.0000
  23        0.4000       13.8500
  24        0.5000       15.4000
  25        0.7000       16.5000
  26        1.0000       18.5000
  27        1.2000       28.0000
  28        1.3000       37.0000
  29        1.5000       42.0000
  30        1.7000       40.0000
  31        1.9000       32.0000
  32        2.1000       23.5000
  33        2.2000       21.5000
  34        2.5000       17.5000
  35        2.8000       16.0000
  36        3.0000       15.4000
  37        3.3000       14.6000
  38        3.6000       14.2000
  39        4.0000       13.8000
  40        4.5000       13.3000
  41        5.0000       12.9000
  42        6.0000       12.3000
  43        7.0000       11.8000
  44        8.0000       11.3000
  45       10.0000       10.6000
  46       12.0000       10.4000
  47       15.0000       10.2000
  48       17.0000       10.1000
  49       20.0000        9.8000
  50       25.0000        9.1000
  51       30.0000        8.6000
  52       50.0000        7.1000
  53       75.0000        6.1000
  54      100.0000        5.5000
  55      150.0000        4.9000
  56      200.0000        4.2000
  57      300.0000        3.3000
  58      500.0000        2.4400
  59      700.0000        1.9600
  60     1000.0000        1.55000

CO V=1 HAKE & PHELPS THRESHOLD*.95 TO EHRHARDT*1.9                                         
  
ENERGY LOSS =    0.266 ,   LOWER LIMIT =    0.258 ,   UPPER LIMIT =    4.911 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        0.2660        0.0000            
     3        0.2900        0.0950            
     4        0.3200        0.1250            
     5        0.3500        0.1440            
     6        0.4000        0.1560            
     7        0.5000        0.1590            
     8        0.6000        0.1570            
     9        0.7000        0.1540            
    10        0.8000        0.1650            
    11        0.8500        0.2240            
    12        0.9000        0.3000            
    13        0.9500        0.3970            
    14        1.0000        0.5130            
    15        1.0310        0.6040            
    16        1.0730        0.7360            
    17        1.1300        0.9240            
    18        1.1800        1.1210            
    19        1.2150        1.3500            
    20        1.2420        1.5730            
    21        1.3070        2.1370            
    22        1.3640        2.9030            
    23        1.4100        3.6020            
    24        1.4450        4.1760
    25        1.4760        4.8390
    26        1.5140        5.3770
    27        1.5910        5.3410
    28        1.6450        5.0540
    29        1.7400        5.9340
    30        1.8210        6.5780
    31        1.9020        5.8430
    32        1.9820        5.2160
    33        2.0860        5.6830
    34        2.1700        4.9650
    35        2.2810        4.1760
    36        2.3160        4.2850
    37        2.4040        3.7470

    38        2.5080        3.1200
    39        2.6880        2.4550
    40        2.8720        1.8280
    41        3.0720        1.2900
    42        3.2940        0.8610
    43        3.5280        0.5550
    44        3.8160        0.2870
    45        5.0000        0.0000
    46      100.0000        0.0000

CO EHRHARDT V=2                                                                          
ENERGY LOSS =    0.528 ,   LOWER LIMIT =    1.034 ,   UPPER LIMIT =    3.877 , 
QSCALE =     1.900000(QSCALE USED ONLY FOR RECONSTRUCTING INPUT DATA - SEE N2 INTRO.)


              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        0.5280        0.0000            
     3        1.2660        0.0000            
     4        1.3470        0.2679            
     5        1.4200        0.7144            
     6        1.4850        1.3414            
     7        1.5350        1.9855            
     8        1.5700        2.2705            
     9        1.6280        2.4320            
    10        1.6820        2.1280            
    11        1.7780        1.7879            
    12        1.8630        2.1812            
    13        1.9400        2.5745            
    14        2.0280        2.0387
    15        2.0670        1.6986
    16        2.1050        1.5371
    17        2.2170        1.7518
    18        2.3250        1.2692
    19        2.4830        1.0184
    20        2.5980        0.7144
    21        2.7100        0.6080
    22        2.8250        0.3933
    23        3.0370        0.1976

    24        3.2990        0.0361
    25        4.0000        0.0000
    26      100.0000        0.0000



CO EHRHARDT V=3                                                                          
ENERGY LOSS =    0.787 ,   LOWER LIMIT =    1.292 ,   UPPER LIMIT =    3.877 , 
QSCALE =     1.900000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        0.7870        0.0000            
     3        1.3820        0.0000            
     4        1.4730        0.2679            
     5        1.5190        0.5548            
     6        1.5690        0.8398            
     7        1.6150        1.2160            
     8        1.6530        1.4668            
     9        1.7180        1.6454            
    10        1.7600        1.4478            
    11        1.8020        1.2521            
    12        1.8590        0.8398            
    13        1.9050        0.7144            
    14        1.9770        0.9120            
    15        2.0460        1.2692
    16        2.1150        1.0906
    17        2.2020        0.5909
    18        2.2860        0.5358
    19        2.3400        0.6802
    20        2.4050        0.5548
    21        2.5110        0.2679
    22        2.6260        0.3401
    23        2.7290        0.1064
    24        2.8890        0.1615
    25        2.9730        0.0893
    26        3.0460        0.0361
    27        4.0000        0.0000

    28      100.0000        0.0000

CO EHRHARDT V=4                                                                          
ENERGY LOSS =    1.040 ,   LOWER LIMIT =    1.292 ,   UPPER LIMIT =    2.843 , 
QSCALE =     1.900000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        1.0400        0.0000            
     3        1.5140        0.0000            
     4        1.5710        0.4294            
     5        1.6400        0.7353            
     6        1.7240        1.1647            
     7        1.7810        1.2901            
     8        1.8760        1.0393            
     9        1.9640        0.4484            
    10        2.0170        0.3230
    11        2.1010        0.5548
    12        2.1850        0.6802
    13        2.2760        0.3762
    14        2.3680        0.1615
    15        2.4700        0.3230
    16        2.5540        0.1615
    17        2.8000        0.0000
    18      100.0000        0.0000

CO EHRHARDT V=6                                                                          
ENERGY LOSS =    1.540 ,   LOWER LIMIT =    1.292 ,   UPPER LIMIT =    2.585 , 
QSCALE =     1.900000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        1.5400        0.0000            
     3        1.6850        0.1976            
     4        1.8680        0.5016            
     5        2.0100        0.6992            
     6        2.1470        0.3591
     7        2.2960        0.0893

     8        2.4530        0.2337
     9        2.6000        0.0000
    10      100.0000        0.0000

CO EHRHARDT V=5                                                                          
ENERGY LOSS =    1.300 ,   LOWER LIMIT =    1.551 ,   UPPER LIMIT =    2.585 , 
QSCALE =     1.900000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        1.3000        0.0000            
     3        1.6080        0.0000            
     4        1.6620        0.2869            
     5        1.8150        0.6802            
     6        1.9140        0.8968            
     7        2.0440        0.4123            
     8        2.1590        0.0893
     9        2.2850        0.3401
    10        2.4000        0.1786
    11        2.5220        0.0361
    12        2.5680        0.0722
    13        2.7000        0.0000
    14      100.0000        0.0000

CO EHRHARDT V=7                                                                          
ENERGY LOSS =    1.790 ,   LOWER LIMIT =    1.551 ,   UPPER LIMIT =    2.843 , 
QSCALE =     1.900000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        1.7900        0.0000            
     3        2.0060        0.3401            
     4        2.1360        0.5548            
     5        2.2580        0.4294            
     6        2.4230        0.1615
     7        2.4840        0.1254
     8        2.5790        0.1615
     9        2.7500        0.0000

    10      100.0000        0.0000

CO BONESS   V=8                                                                          
ENERGY LOSS =    2.030 ,   LOWER LIMIT =    1.809 ,   UPPER LIMIT =    3.102 ,  
QSCALE =     1.900000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        2.0300        0.0000            
     3        2.2000        0.0684            
     4        2.3000        0.1330            
     5        2.4000        0.0665            
     6        2.5000        0.0114            
     7        2.6000        0.0152
     8        2.7000        0.0095
     9        2.8000        0.0038
    10        2.9000        0.0057
    11        3.0000        0.0000
    12      100.0000        0.0000

CO BONESS   V=9                                                                          
ENERGY LOSS =    2.270 ,   LOWER LIMIT =    2.068 ,   UPPER LIMIT =    2.843 , 
QSCALE =     1.900000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        2.2700        0.0000            
     3        2.3000        0.0068            
     4        2.4000        0.0665            
     5        2.5000        0.0513            
     6        2.6000        0.0082            
     7        2.7000        0.0068
     8        2.8000        0.0095
     9        2.9000        0.0000
    10        3.0000        0.0000
    11        5.0000        0.0000
    12      100.0000        0.0000


CO BONESS   V=10                                                                 
ENERGY LOSS =    2.510 ,   LOWER LIMIT =    2.326 ,   UPPER LIMIT =    3.102 ,   
QSCALE =     1.900000

              ENERGY     CROSS SECTION         SECTION
     1        0.0000        0.0000            
     2        2.5100        0.0000            
     3        2.5200        0.0114            
     4        2.6000        0.0399            
     5        2.7000        0.0133            
     6        2.8000        0.0057
     7        2.9000        0.0076
     8        3.0000        0.0000
     9        5.0000        0.0000
    10      100.0000        0.0000

CO SAWADA A3PI                                                                           
ENERGY LOSS =    6.220 ,   LOWER LIMIT =    6.204 ,   UPPER LIMIT =  200.070 , 
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        6.2200        0.0000            
     3        7.1000        0.1000            
     4        7.4000        0.3000            
     5        8.0000        0.6400            
     6        8.5000        0.7800            
     7        9.0000        0.9700            
     8       10.0000        1.0800            
     9       11.0000        1.1000            
    10       12.0000        1.0300
    11       15.0000        0.7000
    12       20.0000        0.4100
    13       24.0000        0.3000
    14       30.0000        0.2400
    15       40.0000        0.2050
    16       60.0000        0.1750
    17       80.0000        0.1500

    18      100.0000        0.1300

CO ENERGY LOSS =    6.800 ,   LOWER LIMIT =    6.721 ,   UPPER LIMIT =  100.035 ,  
LIN A PRIME 3 SIGMA                                                              
QSCALE =     0.350000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        6.8000        0.0000            
     3        6.9000        0.0035            
     4        7.4000        0.0350            
     5        8.7590        0.3115            
     6        9.6910        0.4585            
     7       10.5400        0.5215            
     8       11.1600        0.5390
     9       12.1900        0.5180
    10       15.4400        0.4270
    11       24.2900        0.2030
    12       40.0600        0.0560
    13       61.0400        0.0175
    14      100.0000        0.0000

CO SAWADA A1PI                                                                 
ENERGY LOSS =    7.900 ,   LOWER LIMIT =    8.272 ,   UPPER LIMIT =  200.070 , 
QSCALE =     1.000000

              ENERGY     CROSS SECTION         SECTION
     1        0.0000        0.0000            
     2        7.9000        0.0000            
     3        9.0000        0.1100            
     4       10.0000        0.2000            
     5       12.5000        0.3000            
     6       15.0000        0.3700            
     7       20.0000        0.4250
     8       27.0000        0.4400
     9       40.0000        0.4250
    10       60.0000        0.3800
    11       80.0000        0.3500

    12      100.0000        0.3250

CO SAWADA B3SIG                                                                          
ENERGY LOSS =   10.400 ,   LOWER LIMIT =   10.340 ,   UPPER LIMIT =  100.035 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       10.4000        0.0000            
     3       12.0000        0.0350            
     4       14.0000        0.0700            
     5       16.0000        0.0820            
     6       18.0000        0.0620            
     7       21.0000        0.0450
     8       25.0000        0.0250
     9       35.0000        0.0145
    10       50.0000        0.0130
    11       70.0000        0.0120
    12      100.0000        0.0110

CO SAWADA C1SIG + E1PI                                                                   
ENERGY LOSS =   10.600 ,   LOWER LIMIT =   10.598 ,   UPPER LIMIT =  100.035 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000             
     2       10.6000        0.0000             
     3       12.0000        0.0560             
     4       15.0000        0.1430             
     5       20.0000        0.2270
     6       25.0000        0.2700
     7       50.0000        0.2700
     8      100.0000        0.2300

CO SAWADA 13.5 LOSS                                                            
ENERGY LOSS =   13.500 ,   LOWER LIMIT =   13.441 ,   UPPER LIMIT =  100.035 , 
QSCALE =     1.500000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       13.5000        0.0000            
     3       14.5000        0.1350            
     4       17.0000        0.3000            
     5       20.0000        0.4050            
     6       30.0000        0.5400
     7       40.0000        0.5625
     8       60.0000        0.5400
     9       80.0000        0.5250
    10      100.0000        0.4875

CO ENERGY LOSS =   14.010 ,   LOWER LIMIT =   13.958 ,   UPPER LIMIT =  100.035 , 
CO RAPP IONIZATION                                                             
EBR=   14.200000,    QSCALE=    1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       14.0100        0.0000            
     3       14.5000        0.0273            
     4       16.0000        0.1060            
     5       17.0000        0.1770            
     6       18.0000        0.2540            
     7       19.0000        0.3400            
     8       20.0000        0.4280            
     9       22.0000        0.6000
    10       24.0000        0.7700
    11       28.0000        1.0900
    12       32.0000        1.3800
    13       40.0000        1.7900
    14       50.0000        2.1200
    15       70.0000        2.5000
    16      100.0000        2.6500

REVISION OF TOTAL AND PARTIAL IONIZATION CROSS SECTIONS

Mangan et al, J. Phys. B 33, 3225 (2000).

RECENT DEVELOPMENTS:

Stephen Biagi at sfb@hep.ph.liv.ac.uk has derived a set of 
electron-CO cross sections that differ somewhat from the 
above set. 
Communicated December 2003


Latest CO change 012/18/03

**********************************************************************

HYDROGEN 

These cross sections are those used by Buckman and Phelps, 
J. Chem. Phys. 82, 4999 (1985).  The values tabulated in JILA 
Information Center Report No. 27 are derived from the same 
computer files and should be the same as those given here. 
This has not been checked.  Although these cross sections give good 
agreement with experimental transport, dissociation, 
vuv excitation, and ionization coeffieient data, it is now 
known that the division of cross sections among the triplet levels 
needs to be improved.  This problem does not introduce significant 
errors in the overall energy balance or the sums of excitation rates 
for the H2 singlet and triplet levels.

H2 MOMENTUM-TRANSFER CROSS SECTION

            ENERGY        Effective Qm - Defined in introduction
   1        0.0000        6.4000
   2        0.0010        6.4000
   3        0.0020        6.5000
   4        0.0030        6.6000
   5        0.0050        6.8000
   6        0.0070        7.1000
   7        0.0085        7.2000
   8        0.0100        7.3000
   9        0.0150        7.7000
  10        0.0200        8.0000
  11        0.0300        8.5000
  12        0.0400        8.9600
  13        0.0500        9.2800
  14        0.0700        9.8500
  15        0.1000        10.5000
  16        0.1200        10.8500
  17        0.1500        11.4000
  18        0.1700        11.6000
  19        0.2000        12.0000
  20        0.2500        12.5000
  21        0.3000        13.0000
  22        0.3500        13.4500
  23        0.4000        13.9000
  24        0.5000        14.7000
  25        0.7000        16.3000
  26        1.0000        17.4000
  27        1.2000        17.8000
  28        1.3000        18.0000
  29        1.5000        18.2500
  30        1.7000        18.2500
  31        1.9000        18.1000
  32        2.1000        17.9000
  33        2.2000        17.7000
  34        2.5000        17.0000
  35        2.8000        16.4000
  36        3.0000        16.0000
  37        3.3000        15.6000
  38        3.6000        14.8000
  39        4.0000        14.0000
  40        4.5000        13.1000
  41        5.0000        12.2000
  42        6.0000        10.4000
  43        7.0000        8.9000 
  44        8.0000        7.8500 
  45       10.0000        6.0000 
  46       12.0000        5.2000 
  47       15.0000        4.5000 
  48       17.0000        4.2000 
  49       20.0000        3.9000 
  50       25.0000        3.6000 
  51       30.0000        3.4000 
  52       50.0000        2.9000 
  53       75.0000        2.6000 
  54      100.0000        2.3000 
  55      150.0000        1.9000 
  56      200.0000        1.6200 
  57      300.0000        1.2800 
  58      500.0000        0.9200 
  59      700.0000        0.7200 
  60     1000.0000        0.5400 
  61     1500.0000        0.3700 
  62     2000.0000        0.2900 
  63     3000.0000        0.2100 
  64     5000.0000        0.1400 
  65     7000.0000        0.1040 
  66    10000.0000        0.0770 


H2  J=0-J=2 CROMPTON ET AL (1969),HENRY-LANE (1969)                           
ENERGY LOSS =    0.044 ,   LOWER LIMIT =    0.026 ,   UPPER LIMIT =10000.003 ,
QSCALE =     0.250000(QSCALE USED ONLY FOR RECONSTRUCTING INPUT DATA - SEE N2 INTRO.)

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        0.0440        0.0000            
     3        0.0470        0.0046            
     4        0.0500        0.0067            
     5        0.0550        0.0088            
     6        0.0600        0.0105            
     7        0.0700        0.0132            
     8        0.0900        0.0170            
     9        0.1100        0.0198            
    10        0.2000        0.0300            
    11        0.4000        0.0525            
    12        0.6000        0.0762            
    13        0.8000        0.1125            
    14        1.0000        0.1500            
    15        2.0000        0.3275            
    16        3.0000        0.4500
    17        4.0000        0.4500
    18        6.0000        0.3800
    19       10.0000        0.2900
    20       20.0000        0.1650
    21       30.0000        0.1250
    22       50.0000        0.0850
    23       70.0000        0.0660
    24      100.0000        0.0500
    25      125.0000        0.0425
    26      150.0000        0.0365
    27      500.0000        0.0130
    28     1000.0000        0.0070
    29     3000.0000        0.0025
    30    10000.0000        0.0010

H2 J=1-J=3 GIBSON (1970), HEAPS AND GREEN (1975),CALD.(1976)                    
ENERGY LOSSS =  0.073 ,   LOWER LIMIT =    0.052 ,   UPPER LIMIT = 1000.008 ,
QSCALE =     0.750000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        0.0730        0.0000            
     3        0.0750        0.0075            
     4        0.0800        0.0128            
     5        0.0850        0.0161            
     6        0.0900        0.0188            
     7        0.1000        0.0221            
     8        0.1200        0.0285            
     9        0.1500        0.0353            
    10        0.2000        0.0450            
    11        0.3000        0.0660            
    12        0.4000        0.0885            
    13        0.5000        0.1125            
    14        0.7000        0.1650            
    15        1.0000        0.2625            
    16        1.4000        0.3750            
    17        2.0000        0.5625            
    18        2.7000        0.7500            
    19        3.3000        0.8250
    20        5.0000        0.7500
    21        7.0000        0.6525
    22       10.0000        0.5250
    23       20.0000        0.3000
    24       30.0000        0.2250
    25       50.0000        0.1530
    26      100.0000        0.0870
    27      125.0000        0.0743
    28      150.0000        0.0630
    29      500.0000        0.0232
    30     1000.0000        0.0135
    31     1500.0000        0.0000
    32     2000.0000        0.0000
    33     3000.0000        0.0000
    34     5000.0000        0.0000
    35     7000.0000        0.0000
    36    10000.0000        0.0000

H2 V=1 EHRHARDT ET AL 1968 EXCPT CROMPTON THRESHOLD                            
ENERGY LOSS =    0.516 ,   LOWER LIMIT =    0.490 ,   UPPER LIMIT = 1000.008 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        0.5160        0.0000            
     3        0.7000        0.0200            
     4        1.0000        0.0600            
     5        1.5000        0.2000            
     6        2.0000        0.4000            
     7        2.5000        0.4900            
     8        3.0000        0.5100            
     9        3.3000        0.5000            
    10        4.0000        0.4400            
    11        5.0000        0.3600            
    12        7.0000        0.2200            
    13        8.0000        0.1600            
    14       10.0000        0.0900            
    15       12.0000        0.0600            
    16       16.0000        0.0200
    17       50.0000        0.0090
    18      100.0000        0.0080
    19      150.0000        0.0080
    20      200.0000        0.0080
    21      300.0000        0.0070
    22      500.0000        0.0070
    23      700.0000        0.0070
    24     1000.0000        0.0060
    25     1500.0000        0.0000
    26     2000.0000        0.0000
    27     3000.0000        0.0000

    28     5000.0000        0.0000
    29     7000.0000        0.0000
    30    10000.0000        0.0000

H2 V=2 EHRHARDT ET AL 1968                                                    
ENERGY LOSS =    1.000 ,   LOWER LIMIT =    0.877 ,   UPPER LIMIT =   15.996 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        1.0000        0.0000            
     3        1.3000        0.0000            
     4        1.5000        0.0030            
     5        1.8000        0.0080            
     6        2.1500        0.0180            
     7        2.3000        0.0240            
     8        2.5000        0.0290            
     9        3.0000        0.0360            
    10        3.6000        0.0380
    11        4.0000        0.0380
    12        6.0000        0.0300
    13        9.0000        0.0170
    14       12.0000        0.0080
    15       16.0000        0.0000
    16       20.0000        0.0000
    17       50.0000        0.0000
    18    10000.0000        0.0000

H2 V=3 EHRHARDT ET AL 1968                                                   
ENERGY LOSS =    1.500 ,   LOWER LIMIT =    1.471 ,   UPPER LIMIT =   15.996 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        1.5000        0.0000            
     3        1.8000        0.0003            
     4        1.9000        0.0010            
     5        2.0000        0.0013            
     6        2.2000        0.0020            
     7        2.5000        0.0029            
     8        3.0000        0.0037            
     9        3.3000        0.0041            
    10        3.7000        0.0041
    11        5.0000        0.0034
    12        7.0000        0.0023
    13       10.0000        0.0012
    14       12.0000        0.0006
    15       14.0000        0.0001
    16       16.0000        0.0000
    17       50.0000        0.0000
    18    10000.0000        0.0000

H2 (B3SIG) EXCITATION - 84/07/06                                              
ENERGY LOSS =    8.900 ,   LOWER LIMIT =    8.488 ,   UPPER LIMIT =  100.001 ,
QSCALE =     1.150000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        8.9000        0.0000            
     3       10.0000        0.1150            
     4       12.0000        0.2990            
     5       17.0000        0.3335            
     6       20.0000        0.2875            
     7       25.0000        0.2070            
     8       30.0000        0.1380
     9       40.0000        0.0575
    10       50.0000        0.0287
    11       60.0000        0.0138
    12       80.0000        0.0034
    13      100.0000        0.0000
    14    10000.0000        0.0000

H2 (B1SIG) EXCITATION - 84/07/06                                             
ENERGY LOSS =   11.300 ,   LOWER LIMIT =   11.197 ,   UPPER LIMIT =10000.003 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       11.3000        0.0000            
     3       11.7000        0.1000            
     4       12.5000        0.0900            
     5       16.0000        0.2000            
     6       20.0000        0.3000            
     7       25.0000        0.4100            
     8       30.0000        0.4500            
     9       40.0000        0.4800            
    10       50.0000        0.4700            
    11       70.0000        0.4200            
    12      100.0000        0.3800            
    13      150.0000        0.3200
    14      200.0000        0.2800
    15      300.0000        0.2300
    16      500.0000        0.1700
    17      700.0000        0.1350
    18     1000.0000        0.1000
    19     1500.0000        0.0750
    20     2000.0000        0.0600
    21     3000.0000        0.0440
    22     5000.0000        0.0290
    23     7000.0000        0.0210
    24    10000.0000        0.0160

H2 (C3PI) EXCITATION - 84/07/06                                               
ENERGY LOSS =   11.750 ,   LOWER LIMIT =   11.584 ,   UPPER LIMIT =  150.001 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       11.7500        0.0000            
     3       11.8800        0.0800            
     4       12.2500        0.1400            
     5       12.9000        0.1200            
     6       13.5000        0.1400            
     7       15.5000        0.2000            
     8       20.0000        0.1200            
     9       25.0000        0.0720            
    10       30.0000        0.0430
    11       35.0000        0.0300
    12       40.0000        0.0200
    13       50.0000        0.0104
    14       60.0000        0.0070
    15       70.0000        0.0040
    16      100.0000        0.0014
    17      150.0000        0.0000
    18    10000.0000        0.0000

H2 (A3SIG) EXCITATION - 84/05/25                                              
ENERGY LOSS =   11.800 ,   LOWER LIMIT =   11.687 ,   UPPER LIMIT =   69.995 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       11.8000        0.0000            
     3       13.0000        0.1100            
     4       14.0000        0.1200            
     5       15.0000        0.1220            
     6       16.0000        0.1210            
     7       17.0000        0.1160            
     8       20.0000        0.0850
     9       25.0000        0.0550
    10       30.0000        0.0350
    11       50.0000        0.0080
    12       70.0000        0.0000
    13      100.0000        0.0000
    14    10000.0000        0.0000

H2 (C1PI)  EXCITATION - 84/05/25                                              
ENERGY LOSS =   12.400 ,   LOWER LIMIT =   12.178 ,   UPPER LIMIT =10000.003 , 
QSCALE =     1.000000

              ENERGY     CROSS SECTION         SECTION
     1        0.0000        0.0000            
     2       12.4000        0.0000            
     3       13.0000        0.0300            
     4       14.0000        0.1000            
     5       16.0000        0.1800            
     6       18.0000        0.2300            
     7       22.0000        0.3200            
     8       30.0000        0.3900            
     9       40.0000        0.4000            
    10       60.0000        0.4000            
    11       80.0000        0.3800            
    12      100.0000        0.3600            
    13      150.0000        0.3000
    14      200.0000        0.2600
    15      300.0000        0.2100
    16      500.0000        0.1600
    17      700.0000        0.1200
    18     1000.0000        0.0900
    19     1500.0000        0.0660
    20     2000.0000        0.0530
    21     3000.0000        0.0380
    22     5000.0000        0.0250
    23     7000.0000        0.0190
    24    10000.0000        0.0140

H2 G1SIG V = 2 EXCITATION (DAY, ANDERSON AND SHARPTON, 79)                    
ENERGY LOSS =   13.860 ,   LOWER LIMIT =   13.493 ,   UPPER LIMIT =10000.003 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       13.8600        0.0000            
     3       14.0000        0.0000            
     4       15.0000        0.0000            
     5       16.0000        0.0000            
     6       18.0000        0.0000            
     7       20.0000        0.0000            
     8       25.0000        0.0000            
     9       28.0000        0.0001            
    10       30.0000        0.0001            
    11       35.0000        0.0001            
    12       50.0000        0.0001            
    13       70.0000        0.0000

    14      100.0000        0.0000
    15      200.0000        0.0000
    16      500.0000        0.0000
    17      700.0000        0.0000
    18     1000.0000        0.0000
    19     1500.0000        0.0000
    20     2000.0000        0.0000
    21     3000.0000        0.0000
    22     5000.0000        0.0000
    23     7000.0000        0.0000
    24    10000.0000        0.0000

H2 (D3PI) EXCITATION - 84/05/25                                                
ENERGY LOSS =   14.000 ,   LOWER LIMIT =   13.880 ,   UPPER LIMIT =  150.001 , 
QSCALE =     1.000000

              ENERGY     CROSS SECTION         SECTION
     1        0.0000        0.0000            
     2       14.0000        0.0000            
     3       15.6000        0.0410            
     4       20.0000        0.0310            
     5       25.0000        0.0200            
     6       30.0000        0.0120            
     7       40.0000        0.0053
     8       50.0000        0.0028
     9       70.0000        0.0010
    10      100.0000        0.0004
    11      150.0000        0.0000
    12    10000.0000        0.0000

H2 DISSOCIATIVE EXCITATION TO N = 2 (LYMAN ALPHA)                              
ENERGY LOSS =   15.000 ,   LOWER LIMIT =   14.783 ,   UPPER LIMIT =10000.003 , 
QSCALE =     1.000000

              ENERGY     CROSS SECTION         SECTION
     1        0.0000        0.0000            
     2       15.0000        0.0000            
     3       17.0000        0.0000            
     4       20.0000        0.0500            
     5       25.0000        0.0700            
     6       30.0000        0.0950            
     7       35.0000        0.1050            
     8       40.0000        0.1150            
     9       50.0000        0.1250            
    10       60.0000        0.1300            
    11       70.0000        0.1300            
    12      100.0000        0.1250            
    13      150.0000        0.1100
    14      200.0000        0.0900
    15      300.0000        0.0700
    16      500.0000        0.0500
    17      700.0000        0.0400
    18     1000.0000        0.0360
    19     1500.0000        0.0190
    20     2000.0000        0.0154
    21     3000.0000        0.1130
    22     5000.0000        0.0073
    23     7000.0000        0.0056
    24    10000.0000        0.0042

H2 (RYDBERG SUM) EXCITATION - from Garvey et al, J. Appl. Phys. 48, 4353 (1977)
ENERGY LOSS =   15.200 ,   LOWER LIMIT =   15.093 ,   UPPER LIMIT =10000.003 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       15.2000        0.0000            
     3       16.0000        0.0000            
     4       17.0000        0.0130            
     5       18.0000        0.0300            
     6       20.0000        0.0630            
     7       22.0000        0.0950            
     8       30.0000        0.1900            
     9       40.0000        0.2200            
    10       60.0000        0.2400            
    11       80.0000        0.2300            
    12      100.0000        0.2100            
    13      150.0000        0.1750
    14      200.0000        0.1500
    15      300.0000        0.1200
    16      500.0000        0.0850
    17      700.0000        0.0670
    18     1000.0000        0.0520
    19     1500.0000        0.0385
    20     2000.0000        0.0310
    21     3000.0000        0.0226
    22     5000.0000        0.0150
    23     7000.0000        0.0114
    24    10000.0000        0.0085

H2 ENERGY LOSS =   15.400 ,   LOWER LIMIT =   15.299 ,   UPPER LIMIT =10000.003 ,
H2 IONIZATION, RAPP AND ENGLANDER-GOLDEN (1965)                               
EBR=    8.300000,    QSCALE=    1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       15.4000        0.0000            
     3       19.5000        0.2490            
     4       21.0000        0.3360            
     5       23.0000        0.4390            
     6       25.0000        0.5240            
     7       28.0000        0.6310            
     8       32.0000        0.7300            
     9       40.0000        0.8650            
    10       50.0000        0.9400            
    11       70.0000        0.9670            
    12      100.0000        0.9320            
    13      150.0000        0.8000
    14      200.0000        0.7120
    15      300.0000        0.5710
    16      500.0000        0.4040
    17      700.0000        0.3160
    18     1000.0000        0.2370
    19     1500.0000        0.1720
    20     2000.0000        0.1340
    21     3000.0000        0.0970

    22     5000.0000        0.0610
    23     7000.0000        0.0460
    24    10000.0000        0.0340

H2 DISSOCIATIVE EXCITATION TO N = 3 (BALMER ALPHA)                             
ENERGY LOSS =   16.600 ,   LOWER LIMIT =   16.383 ,   UPPER LIMIT =10000.003 , 
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       16.6000        0.0000            
     3       18.0000        0.0045            
     4       19.0000        0.0056            
     5       20.0000        0.0058            
     6       25.0000        0.0060            
     7       30.0000        0.0068            
     8       40.0000        0.0080            
     9       50.0000        0.0092            
    10       60.0000        0.0094            
    11       80.0000        0.0094            
    12      100.0000        0.0087            
    13      150.0000        0.0072
    14      200.0000        0.0060
    15      300.0000        0.0043
    16      500.0000        0.0028
    17      700.0000        0.0021
    18     1000.0000        0.0015
    19     1500.0000        0.0011
    20     2000.0000        0.0008
    21     3000.0000        0.0006
    22     5000.0000        0.0004
    23     7000.0000        0.0003
    24    10000.0000        0.0002

REVISION OF PARTIAL IONIZATION CROSS SECTIONS

See Straub et al, Phys. Rev. A 54, 2146 (1996) and 
Stebbings and Lindsay, J. Chem. Phys. 114, 4741 (2001).

M. Hayashi has assembled references and derived an electron-H2 cross 
section set in a report entitled "Bibliography of electron and photon 
cross sections with atoms and molecules published in the 20th century 
- Hydrogen Molecules", National Institute for Fusion Research Research, 
Report NIFS-Data Series NIFS-DATA-82, Feb. 2004. The report does not 
contain a set of recommended cross sections, but has some relevant 
comments at the end. The report cited is one of a series that gives
bibliographies of papers on electron collisions with various gases.

Latest H2 change 04/30/04

************************************************************

H2O NOV 1983

Badly in need of updata.  However, when this set is used for moist air 
it gives good agreement with experiment (Davies unpublished).  The only 
adjustable parameter was the probability of collisional stabilization 
of excited O2- by H2O in three-body attachment (Phelps unpublished).

H2O MOMENTUM-TRANSFER CROSS SECTION

              ENERGY     Effective Qm - defined in introduction       
     1        0.0000    50000.0000            
     2        0.0010    33000.0000            
     3        0.0020    16500.0000            
     4        0.0030    11000.0000            
     5        0.0050     6600.0000            
     6        0.0070     4710.0000            
     7        0.0085     3880.0000            
     8        0.0100     3300.0000            
     9        0.0150     2170.0000            
    10        0.0200     1610.0000            
    11        0.0300     1060.0000            
    12        0.0400      830.0000            
    13        0.0500      650.0000            
    14        0.0700      456.0000            
    15        0.1000      318.0000            
    16        0.1200      265.0000            
    17        0.1500      210.0000            
    18        0.1700      184.0000            
    19        0.2000      153.0000            
    20        0.2500      124.0000            
    21        0.3000      102.0000            
    22        0.3500       89.0000            
    23        0.4000       78.0000            
    24        0.5000       63.5000            
    25        0.7000       46.3000            
    26        1.0000       33.1000            
    27        1.2000       28.0000            
    28        1.3000       26.0000            
    29        1.5000       22.9000
    30        1.7000       20.0000
    31        1.9000       18.2000
    32        2.1000       16.6000
    33        2.2000       16.0000
    34        2.5000       14.4000
    35        2.8000       13.2000
    36        3.0000       12.4000
    37        3.3000       11.6000
    38        3.6000       10.8000
    39        4.0000       10.0000
    40        4.5000        9.3000
    41        5.0000        8.6000
    42        6.0000        7.5500
    43        7.0000        7.0500
    44        8.0000        6.7000
    45       10.0000        6.6000
    46       12.0000        6.6500
    47       15.0000        7.4000
    48       17.0000        7.9000
    49       20.0000        8.4000
    50       25.0000        8.6000
    51       30.0000        8.3000
    52       50.0000        5.0000
    53       75.0000        4.1000
    54      100.0000        3.5000
    55      150.0000        2.5000
    56      200.0000        2.0000

H2O VIB EXCITATION DATA FROM LINDER                                               
ENERGY LOSS =    0.198 ,   LOWER LIMIT =    0.178 ,   UPPER LIMIT =  200.000 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        0.1980        0.0000            
     3        0.3500        1.8470            
     4        0.6000        0.8330            
     5        0.8000        0.4030            
     6        1.0000        0.3780            
     7        2.0000        0.2000            
     8        3.0000        0.1580            
     9        4.0000        0.1490            
    10        5.0000        0.1530
    11        6.0000        0.1600
    12        7.0000        0.1620
    13        8.0000        0.1620
    14        9.0000        0.1560
    15       10.0000        0.1490
    16      100.0000        0.0000
    17      150.0000        0.0000
    18      200.0000        0.0000

H2O VIBRATIONAL EXCITATION   DATA FROM LINDER                                     
ENERGY LOSS =    0.469 ,   LOWER LIMIT =    0.432 ,   UPPER LIMIT =  100.000 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        0.4690        0.0000            
     3        0.6000        3.7700            
     4        0.8000        0.8000            
     5        1.0000        0.5090            
     6        2.0000        0.2960            
     7        3.0000        0.3070            
     8        4.0000        0.3730            
     9        5.0000        0.4380
    10        6.0000        0.4880
    11        7.0000        0.5110
    12        8.0000        0.5020
    13        9.0000        0.4510
    14       10.0000        0.3530
    15      100.0000        0.0000
    16      150.0000        0.0000

H2O ENERGY LOSS =    1.100 ,   LOWER LIMIT =    4.877 ,   UPPER LIMIT =    6.604 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000             
     2        5.0000        0.0000             
     3        5.5000        1.5000             
     4        6.0000        1.5000
     5        6.5000        0.0000
     6      200.0000        0.0000

H2O DISSOCIATIVE ATTACHMENT                                                 
ENERGY LOSS =    5.600 ,   LOWER LIMIT =    5.486 ,   UPPER LIMIT =  100.000 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        5.6000        0.0000            
     3        6.0000        0.0212            
     4        6.2000        0.0378            
     5        6.3500        0.0500            
     6        6.6000        0.0486            
     7        6.8000        0.0378            
     8        7.0000        0.0272            
     9        7.2000        0.0189            
    10        7.4000        0.0114            
    11        7.6000        0.0083            
    12        7.7500        0.0070            
    13        8.2000        0.0098            
    14        8.4000        0.0121            
    15        8.6000        0.0136
    16        8.8000        0.0136
    17        9.0000        0.0126
    18        9.6000        0.0071
    19       10.0000        0.0052
    20       10.2000        0.0044
    21       10.8000        0.0044
    22       11.4000        0.0053
    23       11.7000        0.0067
    24       12.0000        0.0064
    25       13.0000        0.0037
    26       17.0000        0.0000

    27      100.0000        0.0000
    28      200.0000        0.0000

H2O ENERGY LOSS =    6.300 ,   LOWER LIMIT =    6.198 ,   UPPER LIMIT =   11.100 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION         SECTION
     1        0.0000        0.0000             
     2        6.3000        0.0000             
     3        8.0000        0.1000             
     4        9.0000        0.1000
     5       11.0000        0.0000
     6      200.0000        0.0000

H2O ENERGY LOSS =    9.000 ,   LOWER LIMIT =    8.890 ,   UPPER LIMIT =   19.990 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION         SECTION
     1        0.0000        0.0000             
     2        9.0000        0.0000             
     3       11.0000        0.1200             
     4       13.0000        0.1200
     5       20.0000        0.0000
     6      200.0000        0.0000

H2O ENERGY LOSS =   12.000 ,   LOWER LIMIT =   11.887 ,   UPPER LIMIT =   24.994 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000             
     2       12.0000        0.0000             
     3       13.0000        0.7000             
     4       16.0000        0.7000
     5       25.0000        0.0000
     6      200.0000        0.0000


H2O ENERGY LOSS =   12.500 ,   LOWER LIMIT =   12.395 ,   UPPER LIMIT =  100.000 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION         SECTION
     1        0.0000        0.0000             
     2       12.6000        0.0000             
     3       16.0000        1.0000             
     4       50.0000        0.0000
     5      100.0000        0.0000
     6      200.0000        0.0000

H2O IONIZATION FROM SHUTTEN ET AL                                             
ENERGY LOSS =   12.600 ,   LOWER LIMIT =   12.497 ,   UPPER LIMIT =  100.000 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       12.6000        0.0000            
     3       14.5000        0.0730            
     4       18.0000        0.2830            
     5       20.0000        0.4600            
     6       30.0000        0.9700
     7       50.0000        1.5700
     8      100.0000        2.1000
     9      150.0000        1.9000
    10      200.0000        1.7500

REVISION OF PARTIAL IONIZATION CROSS SECTIONS

See Straub et al, Phys. Rev. A 54, 2146 (1996) and 
Stebbings and Lindsay, J. Chem. Phys. 114, 4741 (2001).

RECENT DEVELOPMENTS:

Stephen Biagi at sfb@hep.ph.liv.ac.uk has derived a set of 
electron-H2O cross sections. 
Communicated December 2003

M. Hayashi has assembled references and plots an electron-Ar cross 
section set in a report entitled "Bibliography of electron and photon 
cross sections with atoms and molecules published in the 20th century 
- water vapour -", National Institute for Fusion Research, Report 
NIFS-Data Series NIFS-DATA-81, Dec. 2003. The report cited is one of 
a series that reviews electron collisions with Ar, Xe, SF6, N2, etc.

Latest H2O change 03/11/04

***********************************************************************

CROSS SECTIONS FOR NO FROM COHEN and PHELPS (unpublished) - 1969

Badly in need of revision, but fit swarm experiments reasonably well.

NO MOMENTUM-TRANSFER CROSS SECTION

              ENERGY     Effective Qm - Defined in introduction       
     1        0.0000      149.0000            
     2        0.0010      136.0000            
     3        0.0020       82.0000            
     4        0.0030       56.5000            
     5        0.0050       35.0000            
     6        0.0070       25.7000            
     7        0.0085       21.3000            
     8        0.0100       18.2000            
     9        0.0150       12.6000            
    10        0.0200        9.6000            
    11        0.0300        6.6000            
    12        0.0400        5.0000            
    13        0.0500        4.3000            
    14        0.0700        3.5500            
    15        0.1000        3.2000            
    16        0.1200        3.4000            
    17        0.1500        4.0000            
    18        0.1700        4.4000            
    19        0.2000        5.3000            
    20        0.2500        8.1000            
    21        0.3000       12.9000            
    22        0.3500       16.7000            
    23        0.4000       22.5000            
    24        0.5000       28.5000            
    25        0.7000       27.0000            
    26        1.0000       21.3000            
    27        1.2000       19.0000            
    28        1.3000       18.0000
    29        1.5000       16.9000
    30        1.7000       15.2000
    31        1.9000       14.1000

    32        2.1000       13.1000
    33        2.2000       12.7000
    34        2.5000       11.5000
    35        2.8000       10.4000
    36        3.0000       10.0000
    37        3.3000        9.2000
    38        3.6000        8.6000
    39        4.0000        8.1000
    40        4.5000        8.0000
    41        5.0000        8.1000
    42        6.0000        9.0000
    43        7.0000        9.9000
    44        8.0000       10.4000
    45       10.0000       11.7000
    46       12.0000       12.9000
    47       15.0000       14.3000
    48       17.0000       14.9000
    49       20.0000       14.9000
    50       25.0000       14.3000
    51       30.0000       13.9000
    52       50.0000       12.3000
    53       75.0000       10.8000
    54      100.0000       10.0000

NO VIBRATIONAL EXCITATION                                                     
ENERGY LOSS =    0.230 ,   LOWER LIMIT =    0.284 ,   UPPER LIMIT =  100.001 ,
QSCALE =     0.200000(QSCALE USED ONLY FOR RECONSTRUCTING INPUT DATA - SEE N2 INTRO.)

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000             
     2        0.3000        0.0000             
     3        0.3500        0.7000
     4        0.4000        0.0000
     5      100.0000        0.0000

NO VIBRATIONAL EXCITATION                                                     
ENERGY LOSS =    0.460 ,   LOWER LIMIT =    0.413 ,   UPPER LIMIT =  100.001 ,
QSCALE =     1.500000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000             
     2        0.4500        0.0000             
     3        0.5000       14.2500             
     4        0.5500        0.0000             
     5        0.6000        0.0000
     6        0.6500       10.5000
     7        0.7000        0.0000
     8      100.0000        0.0000

NO VIBRATIONAL EXCITATION                                                     
ENERGY LOSS =    0.690 ,   LOWER LIMIT =    0.697 ,   UPPER LIMIT =  100.001 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000             
     2        0.7500        0.0000             
     3        0.8000        6.0000
     4        0.8500        0.0000
     5      100.0000        0.0000

NO VIBRATIONAL EXCITATION                                                     
ENERGY LOSS =    0.910 ,   LOWER LIMIT =    0.826 ,   UPPER LIMIT =  100.001 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000             
     2        0.9000        0.0000             
     3        0.9500        4.0000             
     4        1.0000        0.0000             
     5        1.0500        0.0000
     6        1.1000        2.5000
     7        1.1500        0.0000
     8      100.0000        0.0000

NO VIBRATIONAL EXCITATION                                                     
ENERGY LOSS =    1.200 ,   LOWER LIMIT =    1.084 ,   UPPER LIMIT =  100.001 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000             
     2        1.2000        0.0000             
     3        1.2500        1.0000
     4        1.3000        0.0000
     5      100.0000        0.0000

NO VIBRATIONAL EXCITATION                                                     
ENERGY LOSS =    1.350 ,   LOWER LIMIT =    1.290 ,   UPPER LIMIT =  100.001 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000             
     2        1.3500        0.0000             
     3        1.4000        0.5000
     4        1.4500        0.0000
     5      100.0000        0.0000

NO ENERGY LOSS =    5.500 ,   LOWER LIMIT =    5.392 ,   UPPER LIMIT =  100.001 , 
QSCALE =     1.000000

              ENERGY     CROSS SECTION        
     1        0.0000        0.0000             
     2        5.5000        0.0000             
     3        5.7000        3.0000             
     4        6.0000        3.0000
     5       13.0000        0.0000
     6      100.0000        0.0000


NO ENERGY LOSS =    6.600 ,   LOWER LIMIT =    6.476 ,   UPPER LIMIT =  100.001 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        6.6000        0.0000            
     3        7.0000        0.0008            
     4        7.7000        0.0103            
     5        8.1000        0.0111            
     6        8.4000        0.0110            
     7        8.6000        0.0110
     8        9.0000        0.0103
     9       10.0000        0.0038
    10       10.5000        0.0014
    11       11.0000        0.0006
    12      100.0000        0.0000

NO ENERGY LOSS =    9.500 ,   LOWER LIMIT =    9.391 ,   UPPER LIMIT =  100.001 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        9.5000        0.0000            
     3       22.0000        0.9560            
     4       30.0000        1.5200            
     5       38.0000        1.9800            
     6       45.0000        2.3000            
     7       50.0000        2.4700
     8       60.0000        2.7300
     9       70.0000        2.9000
    10       80.0000        3.0300
    11       90.0000        3.1000
    12      100.0000        3.1300

For a recent analysis of beam and swarm data for electrons in NO see L. Josic, T. 
Wroblewski, Z. Lj. Petrovic, J. Mechlinska-Drewko, and G.P. Karwasz, Chem. Phys. 
Lett. (in press) (2001).  added 11/28/01

REVISION OF TOTAL AND PARTIAL IONIZATION CROSS SECTIONS

See Lindsay et al, J. Chem. Phys. 112, 9404 (2000) and 
Stebbings and Lindsay, J. Chem. Phys. 114, 4741 (2001).

Latest NO change 01/10/02

*****************************************************************

SF6 

See Phelps and Van Brunt, J. Appl. Phys. 64, 4269 (1988)                                   
                      

SF6 MOMENTUM-TRANSFER CROSS SECTION

               ENERGY     Effective Qm - Defined in introduction       
      1        0.0000     2700.0000            
      2        0.0010     2600.0000            
      3        0.0020     1900.0000            
      4        0.0030     1559.0000            
      5        0.0050     1200.0000            
      6        0.0070     1000.0000            
      7        0.0085      890.0000            
      8        0.0100      800.0000            
      9        0.0150      660.0000            
     10        0.0200      560.0000            
     11        0.0300      430.0000            
     12        0.0400      340.0000            
     13        0.0500      270.0000            
     14        0.0700      175.0000            
     15        0.1000       90.0000            
     16        0.1200       62.0000            
     17        0.1500       35.0000            
     18        0.1700       27.0000            
     19        0.2000       19.0000            
     20        0.2500       12.5000            
     21        0.3000        9.7000            
     22        0.3500        8.0000            
     23        0.4000        7.3000            
     24        0.5000        7.0000            
     25        0.7000        7.1000            
     26        1.0000        7.7000            
     27        1.2000        8.0000            
     28        1.3000        8.2000            
     29        1.5000        8.8000            
     30        1.7000        9.2000            
     31        1.9000        9.7000
     32        2.1000       10.0000
     33        2.2000       10.1000
     34        2.5000       10.8000
     35        2.8000       11.5000
     36        3.0000       11.6000
     37        3.3000       12.0000
     38        3.6000       12.1000
     39        4.0000       12.5000
     40        4.5000       13.1000
     41        5.0000       13.5000
     42        6.0000       14.0000
     43        7.0000       14.5000
     44        8.0000       15.0000
     45       10.0000       16.0000
     46       12.0000       16.2000
     47       15.0000       16.5000
     48       17.0000       16.5000
     49       20.0000       16.5000
     50       25.0000       16.0000
     51       30.0000       15.0000
     52       50.0000       14.0000
     53       70.0000       12.7000
     54      100.0000       10.8000
     55      150.0000        9.0000
     56      200.0000        7.9000
     57      300.0000        6.6000
     58      500.0000        5.0000
     59      700.0000        4.2000
     60     1000.0000        3.5000

ATTACHMENT TO FORM SF6- PHELPS 5/85                                                      
ENERGY LOSS =    0.000 ,   LOWER LIMIT =    0.000 ,   UPPER LIMIT =    0.490 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION         ION
      1        0.0000     1400.0000            
      2        0.0010     1300.0000            
      3        0.0020      900.0000            
      4        0.0050      570.0000            
      5        0.0070      480.0000            
      6        0.0100      400.0000            
      7        0.0200      285.0000            
      8        0.0300      230.0000            
      9        0.0500      147.0000            
     10        0.0700       95.0000
     11        0.1000       49.0000
     12        0.1200       33.0000
     13        0.1500       16.0000
     14        0.1700        9.5000
     15        0.2000        4.2000
     16        0.2500        1.0000
     17        0.3000        0.0000
     18     1000.0000        0.0000

SF6 ENERGY LOSS =    0.000 ,   LOWER LIMIT =    0.000 ,   UPPER LIMIT =    2.012 ,
ATTACHMENT TO FORM SF5- KLINE ET AL                                           
QSCALE =     0.650000(QSCALE USED ONLY FOR RECONSTRUCTING INPUT DATA - SEE N2 INTRO.)
 
              ENERGY     CROSS SECTION         ION
      1        0.0000        2.2750            
      2        0.0200        2.0800            
      3        0.0500        1.6250            
      4        0.0750        1.4950            
      5        0.1000        1.6640            
      6        0.2000        2.5480            
      7        0.3000        2.9835            
      8        0.3500        3.0680
      9        0.4000        2.8990
     10        0.6000        1.4040
     11        0.8000        0.6142
     12        1.5000        0.0000
     13       10.0000        0.0000
     14     1000.0000        0.0000

SF6 ATTACHMENT TO FORM F-, F2-, AND SF4-. CHANTRY 2/78                            
ENERGY LOSS =    0.000 ,   LOWER LIMIT =    0.000 ,   UPPER LIMIT =   19.995 ,
QSCALE =     0.650000

               ENERGY     CROSS SECTION       
      1        0.0000        0.0000            
      2        1.3000        0.0000            
      3        1.6000        0.0001            
      4        1.9000        0.0001            
      5        2.1000        0.0002            
      6        2.4000        0.0013            
      7        2.5000        0.0020            
      8        2.7000        0.0017            
      9        2.9000        0.0002            
     10        3.1000        0.0000            
     11        3.5000        0.0007            
     12        4.0000        0.0065            
     13        4.5000        0.0228            
     14        5.0000        0.0370            
     15        5.5000        0.0345
     16        6.0000        0.0215
     17        6.5000        0.0104
     18        7.0000        0.0042
     19        7.5000        0.0027
     20        8.0000        0.0052
     21        9.0000        0.0084
     22       10.0000        0.0055
     23       11.0000        0.0117
     24       12.0000        0.0097
     25       13.0000        0.0049
     26       15.0000        0.0000
     27      100.0000        0.0000
     28     1000.0000        0.0000

SF6 VIBRATIONAL EXCITATION   ROHR AND HAYASHI                                 
ENERGY LOSS =    0.095 ,   LOWER LIMIT =    0.077 ,   UPPER LIMIT = 1000.008 ,
QSCALE =     1.000000

               ENERGY     CROSS SECTION       
      1        0.0000        0.0000            
      2        0.0950        0.0000            
      3        0.1500       34.0000            
      4        0.2000       20.0000            
      5        0.2500       14.8000            
      6        0.3000       12.6000            
      7        0.5000       11.1000            
      8        1.0000       10.0000            
      9        1.5000        6.5000
     10        2.0000        4.6000
     11        2.5000        3.5000
     12        5.0000        1.8000
     13       10.0000        0.9000
     14       20.0000        0.4500
     15      100.0000        0.0900
     16     1000.0000        0.0090

SF6 ELECTRONIC EXCITATION FROM HAYASHI                                        
ENERGY LOSS =   10.000 ,   LOWER LIMIT =    9.494 ,   UPPER LIMIT = 1000.008 ,
QSCALE =     0.500000

               ENERGY     CROSS SECTION       
      1        0.0000        0.0000            
      2       10.0000        0.0000            
      3       12.0000        0.5000            
      4       14.0000        0.9000            
      5       20.0000        0.5000            
      6       25.0000        0.4000            
      7       40.0000        0.2250            
      8       70.0000        0.1350
      9      100.0000        0.1000
     10      150.0000        0.0700
     11      200.0000        0.0550
     12      400.0000        0.0300
     13      700.0000        0.0185
     14     1000.0000        0.0125

SF6 EXCITATION - ALLOWED TRANSITION - SIMPSON,HITCHCOCK                       
ENERGY LOSS =   11.700 ,   LOWER LIMIT =   10.991 ,   UPPER LIMIT = 1000.008 ,
QSCALE =     0.900000

               ENERGY     CROSS SECTION       
      1        0.0000        0.0000            
      2       11.7000        0.0000            
      3       14.5000        0.0756            
      4       17.5000        0.1710            
      5       22.5000        0.5580            
      6       26.0000        1.0260            
      7       30.0000        1.7370            
      8       36.0000        2.7360            
      9       45.0000        3.7800            
     10       60.0000        4.5720
     11       90.0000        5.6520
     12      120.0000        6.1650
     13      150.0000        6.2730
     14      200.0000        6.1470
     15      250.0000        5.7600
     16      300.0000        5.4810
     17      500.0000        4.4100
     18     1000.0000        2.8800

SF6 EXCITATION - ALLOWED TRANSITION - SIMPSON,HITCHCOCK                       
ENERGY LOSS =   15.000 ,   LOWER LIMIT =   14.500 ,   UPPER LIMIT = 1000.008 ,
QSCALE =     0.720000

               ENERGY     CROSS SECTION       
      1        0.0000        0.0000            
      2       15.0000        0.0000            
      3       17.5000        0.0605            
      4       19.0000        0.1368            
      5       22.5000        0.4464            
      6       26.0000        0.8208            
      7       30.0000        1.3896            
      8       36.0000        2.1888            
      9       45.0000        3.0240            
     10       60.0000        3.6576
     11       90.0000        4.5216
     12      120.0000        4.9320
     13      150.0000        5.0184
     14      200.0000        4.9176
     15      250.0000        4.6080

     16      300.0000        4.3848
     17      500.0000        3.5280
     18     1000.0000        2.3040

SF6 IONIZATION CHANTRY THRESHOLD THEN RAPP                                    
ENERGY LOSS =   15.700 ,   LOWER LIMIT =   15.583 ,   UPPER LIMIT = 1000.008 ,
EBR=   10.000000,    QSCALE=    1.000000

               ENERGY     CROSS SECTION       
      1        0.0000        0.0000            
      2       15.7000        0.0000            
      3       16.4500        0.0080            
      4       17.3000        0.0330            
      5       18.1000        0.0770            
      6       19.5000        0.1200            
      7       20.5000        0.1550            
      8       21.0000        0.3200            
      9       22.0000        0.4600            
     10       23.0000        0.6200            
     11       24.0000        0.8200            
     12       26.0000        1.2600            
     13       30.0000        1.9300
     14       36.0000        3.0400
     15       45.0000        4.1000
     16       60.0000        5.3000
     17       90.0000        6.2800
     18      120.0000        6.8500
     19      150.0000        6.9700
     20      200.0000        6.8300
     21      250.0000        6.4000
     22      300.0000        6.0900
     23      500.0000        4.9000
     24     1000.0000        3.1000

REVISION OF PARTIAL IONIZATION CROSS SECTIONS

See Rejoub et al, J. Phys. B 34, 1289 (2001).

M. Hayashi has assembled references and derived an electron-Ar cross 
section set in a report entitled "Bibliography of electron and photon 
cross sections with atoms and molecules published in the 20th century 
- sulphur hexafluoride", National Institute for Fusion Research Research, Report 
NIFS-Data Series NIFS-DATA-76, May 2003. In 
an appendix to this reoprt Hayashi gives a set of recommended 
electron-SF6 cross sections.  The report cited is one of a series 
that reviews electron collisions with Ar, Xe, and N2.

Latest SF6 change 12/29/03

*********************************************************************


HELIUM - 1987                                                         
10:38:36


He MOMENTUM TRANSFER - 
FROM Crompton, Elford, and Jory, Australian J. Phys. 20, 369 (1967);
Crompton, Elford, and Robertson, ibid 23, 667 (1970); Miloy and Crompton, 
Phys. Rev. A 15, 1847 (1977) AT LOW ENERGY, and from Hayashi, Institute 
of Plasma Physics Report No. IPPJ-AM-19, (1981) AT HIGH ENERGIES
entry #    en(eV)    Effective Qm - Defined in introduction(1E-16*cm^2)

              ENERGY     Effective Qm - Defined in introduction       
       1        0     4.96
       2    0.001     4.98
       3    0.002     5.02
       4    0.003     5.07
       5    0.005     5.12
       6    0.007     5.15
       7   0.0085     5.18
       8     0.01     5.21
       9    0.015     5.28
      10     0.02     5.35
      11     0.03     5.46
      12     0.04     5.54
      13     0.05     5.62
      14     0.07     5.74
      15      0.1     5.86
      16     0.12     5.94
      17     0.15     6.04
      18     0.17     6.08
      19      0.2     6.16
      20     0.25     6.27
      21      0.3     6.35
      22     0.35     6.42
      23      0.4     6.49
      24      0.5     6.59
      25      0.7     6.73
      26        1     6.85
      27      1.2     6.91
      28      1.3     6.92
      29      1.5     6.96
      30      1.7     6.97
      31      1.9     6.98
      32      2.1     6.98
      33      2.2     6.98
      34      2.5     6.96
      35      2.8     6.92
      36        3     6.89
      37      3.3     6.82
      38      3.6     6.73
      39        4      6.6
      40      4.5     6.49
      41        5     6.31
      42        6        6
      43        7     5.68
      44        8     5.35
      45       10     4.72
      46       12      4.2
      47       15      3.5
      48       17     3.15
      49       20     2.64
      50       25     2.05
      51       30     1.74
      52       50      1.1
      53       75     0.88
      54      100     0.75
      55      150    0.605
      56      200     0.52
      57      300     0.41
      58      500      0.3
      59      750    0.235
      60     1000     0.17


HE EXCITATION - FROM 1960'S ANALYSIS OF MEIR-LEIBNITZ AND OTHERS BY
PHELPS
ELOSS=19.80,EMIN=19.6,EMAX=1000.,QSCALE=1.0

               ENERGY     CROSS SECTION       
       1        0        0
       2     19.8        0
       3    20.02    0.041
       4    20.24    0.046
       5    21.45    0.042
       6     21.8    0.055
       7    22.45    0.055
       8    24.22    0.073
       9    25.32    0.092
      10    27.53    0.108
      11    29.75    0.116
      12    34.18    0.121
      13     46.3    0.121
      14      100    0.115
      15      200      0.1
      16      400     0.06
      17      700    0.035
      18     1000    0.025


HE TOTAL IONIZATION - RAPP AND ENGLANDER-GOLDEN, 1965
ELOSS=24.6,EMIN=24.0,EMAX=1000.,QSCALE=1.0,EBR=15.8
(30 eV entry corrected 3/23/02)

               ENERGY     CROSS SECTION       
       1        0        0
       2     24.6        0
       3       30    0.071
       4       34    0.121
       5       40    0.178
       6       45    0.212
       7       50    0.242
       8       60    0.289
       9       70    0.313
      10       80    0.332
      11       90    0.344
      12      100    0.351
      13      150    0.346
      14      200    0.324
      15      300     0.29
      16      500     0.22
      17      700     0.18
      18     1000     0.14

Our recommendataion for a "complete" set of electron-helium cross 
sections is Alves and Ferreira, J. Phys. D 24, 561 (1991).  This set has 
the very important adavantage that the authors show the consistency of 
their cross section set with swarm experiments. Unfortunately, this set 
does not appear to be available in tabulated or analytic form in a 
publication or on the Web.

2/20/01
A new set of electron helium cross sections has been published by Ralchenko 
et al, Research Report NIFS-Data-59, Nagoya, October 2000.  As far as I know this 
set has not been tested against experimental swarm data.  I do not know 
whether it is available on the Web.

******************************************************************

NEON - BASED ON TACHIBANA, Phys. Rev.  1986

Because of the use of the 2-term spherical harmonic the Qm values listed 
here are effective values as defined in the introduction.

MOMENTUM-TRANSFER CROSS SECTION

              ENERGY     Effective Qm - Defined in introduction       
     1        0.0000        0.2030            
     2        0.0010        0.2550            
     3        0.0020        0.2800            
     4        0.0030        0.3000            
     5        0.0050        0.3250            
     6        0.0070        0.3370            
     7        0.0085        0.3500            
     8        0.0100        0.3700            
     9        0.0150        0.4000            
    10        0.0200        0.4230            
    11        0.0300        0.4650            
    12        0.0400        0.5050            
    13        0.0500        0.5400            
    14        0.0700        0.6000            
    15        0.1000        0.7000            
    16        0.1200        0.7600            
    17        0.1500        0.8250            
    18        0.1700        0.8700            
    19        0.2000        0.9300            
    20        0.2500        1.0200            
    21        0.3000        1.0900            
    22        0.3500        1.1400            
    23        0.4000        1.2100            
    24        0.5000        1.3100            
    25        0.7000        1.4800            
    26        1.0000        1.6200            
    27        1.2000        1.6900            
    28        1.3000        1.7000            
    29        1.5000        1.7500
    30        1.7000        1.7700
    31        1.9000        1.7900
    32        2.1000        1.8000
    33        2.2000        1.8100

    34        2.5000        1.8500
    35        2.8000        1.8800
    36        3.0000        1.9000
    37        3.3000        1.9300
    38        3.6000        1.9600
    39        4.0000        1.9800
    40        4.5000        2.0300
    41        5.0000        2.0800
    42        6.0000        2.1300
    43        7.0000        2.2300
    44        8.0000        2.3500
    45       10.0000        2.4500
    46       12.0000        2.6000
    47       15.0000        2.8300
    48       17.0000        2.9500
    49       20.0000        3.1500
    50       25.0000        3.2000
    51       30.0000        3.2000
    52       50.0000        2.8000
    53       75.0000        2.5000
    54      100.0000        2.4000
    55      150.0000        2.3000
    56      200.0000        2.1000



NE 3P2 EXCITATION - TACHIBANA - 86                                            
ENERGY LOSS =   16.200 ,   LOWER LIMIT =   15.977 ,   UPPER LIMIT =  200.000 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       16.2000        0.0000            
     3       16.8000        0.0022            
     4       16.9000        0.0056            
     5       17.0000        0.0036            
     6       17.2000        0.0025            
     7       17.4000        0.0025            
     8       17.6000        0.0029            
     9       17.8000        0.0033            
    10       18.0000        0.0038            
    11       18.2000        0.0043            
    12       18.4000        0.0046            
    13       18.5000        0.0043            
    14       18.5700        0.0096            
    15       18.6000        0.0057            
    16       18.6700        0.0107
    17       18.7000        0.0071
    18       18.8000        0.0045
    19       19.0000        0.0050
    20       20.0000        0.0065
    21       25.0000        0.0103
    22       30.0000        0.0101
    23       35.0000        0.0076
    24       40.0000        0.0058
    25       50.0000        0.0043
    26       60.0000        0.0034
    27       70.0000        0.0026
    28       80.0000        0.0020
    29      100.0000        0.0012
    30      200.0000        0.0000

ENERGY LOSS =   16.670 ,   LOWER LIMIT =   15.977 ,   UPPER LIMIT =  200.000 ,
NE 3P1 EXCITATION - TACHIBANA - 86                                            
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       16.6700        0.0000            
     3       16.8000        0.0008            
     4       16.8500        0.0011            
     5       16.9500        0.0028            
     6       17.0000        0.0026            
     7       17.2000        0.0019            
     8       17.4000        0.0018            
     9       17.6000        0.0018            
    10       17.8000        0.0020            
    11       18.0000        0.0022            
    12       18.2000        0.0024            
    13       18.4000        0.0026            
    14       18.6000        0.0029            
    15       18.7000        0.0040
    16       18.8000        0.0030
    17       19.0000        0.0033
    18       20.0000        0.0048
    19       25.0000        0.0084
    20       30.0000        0.0116
    21       40.0000        0.0119
    22       60.0000        0.0099
    23       80.0000        0.0087
    24      100.0000        0.0078
    25      120.0000        0.0072
    26      140.0000        0.0066
    27      160.0000        0.0061
    28      200.0000        0.0053

NE 3P0 EXCITATION - TACHIBANA - 86                                            
ENERGY LOSS =   16.720 ,   LOWER LIMIT =   16.383 ,   UPPER LIMIT =  200.000 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       16.7200        0.0000            
     3       16.8000        0.0005            
     4       16.9000        0.0013            
     5       17.0000        0.0008            
     6       17.2000        0.0006            
     7       17.4000        0.0006            
     8       17.6000        0.0007            
     9       17.8000        0.0008            
    10       18.0000        0.0009            
    11       18.2000        0.0010            
    12       18.4000        0.0011            
    13       18.5000        0.0010            
    14       18.5700        0.0022            
    15       18.6000        0.0013            
    16       18.6700        0.0025
    17       18.7000        0.0016
    18       18.8000        0.0010
    19       19.0000        0.0012
    20       20.0000        0.0015
    21       25.0000        0.0024
    22       30.0000        0.0023
    23       35.0000        0.0019
    24       40.0000        0.0016
    25       50.0000        0.0012
    26       60.0000        0.0010
    27       70.0000        0.0008
    28       80.0000        0.0007
    29      100.0000        0.0004
    30      200.0000        0.0000

NE 1P1 EXCITATION - TACHIBANA - 86                                            
ENERGY LOSS =   16.850 ,   LOWER LIMIT =   16.485 ,   UPPER LIMIT =  200.000 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       16.8500        0.0000            
     3       16.9500        0.0119            
     4       17.0000        0.0110            
     5       17.2000        0.0080            
     6       17.4000        0.0076            
     7       17.6000        0.0078            
     8       17.8000        0.0085            
     9       18.0000        0.0094            
    10       18.2000        0.0103            
    11       18.4000        0.0110            
    12       18.6000        0.0124            
    13       18.7000        0.0170            
    14       18.8000        0.0129            
    15       19.0000        0.0140
    16       20.0000        0.0195
    17       25.0000        0.0480
    18       30.0000        0.0715

    19       35.0000        0.0840
    20       40.0000        0.0940
    21       60.0000        0.1130
    22       80.0000        0.1000
    23      100.0000        0.1000
    24      120.0000        0.0910
    25      140.0000        0.0850
    26      160.0000        0.0790
    27      180.0000        0.0730
    28      200.0000        0.0670

NE FORBIDDEN - TACHIBANA - 86                                                 
ENERGY LOSS =   18.380 ,   LOWER LIMIT =   18.491 ,   UPPER LIMIT =  200.000 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       18.3800        0.0000            
     3       19.0000        0.0064            
     4       20.0000        0.0156            
     5       21.0000        0.0235            
     6       22.0000        0.0300            
     7       24.0000        0.0395            
     8       28.0000        0.0503            
     9       30.0000        0.0525            
    10       32.0000        0.0537            
    11       36.0000        0.0545            
    12       40.0000        0.0538
    13       50.0000        0.0487
    14       60.0000        0.0426
    15       80.0000        0.0260
    16      100.0000        0.0150
    17      120.0000        0.0100
    18      140.0000        0.0060
    19      160.0000        0.0030
    20      180.0000        0.0010
    21      200.0000        0.0005
    22      300.0000        0.0000



NE ALLOWED - TACHIBANA - 86                                                   
ENERGY LOSS =   20.000 ,   LOWER LIMIT =   18.999 ,   UPPER LIMIT =  200.000 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       20.0000        0.0000            
     3       22.0000        0.0070            
     4       25.0000        0.0166            
     5       30.0000        0.0282            
     6       35.0000        0.0310            
     7       40.0000        0.0316            
     8       50.0000        0.0308
     9       60.0000        0.0290
    10       70.0000        0.0285
    11       80.0000        0.0283
    12      100.0000        0.0275
    13      150.0000        0.0265
    14      200.0000        0.0260

NE TOTAL IONIZATION                                                          
ENERGY LOSS =   21.560 ,   LOWER LIMIT =   20.980 ,   UPPER LIMIT =  200.000,
EBR=   24.200000,    QSCALE=    1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       21.5600        0.0000            
     3       22.0000        0.0033            
     4       23.0000        0.0146            
     5       24.0000        0.0260            
     6       25.0000        0.0380            
     7       27.0000        0.0632            
     8       30.0000        0.1082            
     9       40.0000        0.2279            
    10       50.0000        0.3379
    11       60.0000        0.4356
    12       70.0000        0.5139

    13       80.0000        0.5773
    14       90.0000        0.6283
    15      100.0000        0.6670
    16      150.0000        0.7726
    17      200.0000        0.7814
    18      300.0000        0.6500

A more detailed set of electron-neon excitation cross sections is given by
Puech and Mizzi, J. Phys. D 24, 1974 (1991).  This set has been compared 
with swarm experiments and is available in analytic form.  A worrisome
aspect of this set is that the authors find a large discrepancy between 
the calculated metastable excitation coefficients and the measured values
of Tachibana and Phelps, Phys. Rev. A 36, 999 (1987).  This discrepancy 
occurs even at E/N that are low enough so the cascade effects should be 
negligible.

****************************************************************************

ARGON

Originally from Yamabe, Buckman, and Phelps, Phys. Rev. 27, 1345 (1983).
For energies below 3.0 eV these momentum transfer cross sections appear to 
have been based on Miloy, Crompton, Rees, and Robertson, Aust. J. Phys. 
30, 61 (1977).  For higher energies the elastic momentum transfer cross 
section appears to be based on the tabulation by M. Hayashi, Institute of 
Plasma Physics Report No. IPPJ-AM-19, 1981.  See note at end of this Ar 
section.

REVISION OF 10/15/97.  
The momentum transfer cross sections listed for high energies were been 
revised as of 10/15/97 because of an error in the previous listing.  The 
previous listing appeares to be the elastic momentum transfer cross 
section for energies up to 100 eV and the effective momentum transfer cross 
section for higher energies.  The effective momentum transfer cross section 
is the momentum transfer cross section that should be used in the two-term 
spherical harmonic expansion.  It is equal to the sum of the elastic 
momentum transfer cross section and the sum of the "total" (angular 
integrated) inelastic cross sections.  For discussions of this point see 
Baraff and Buchsbaum, Phys. Rev. 130, 1007 (1963) and Pitchford and Phelps, 
Phys. Rev. A 25, 540 (1982). 

This revision also includes extension of the total excitation cross section
to 10 keV.  At energies above 30 eV we have used values based on deHeer et al.
that are about 10% lower than those of Eggarater, J. Chem. Phys. 62, 833 
(1975) and those based on Peterson and Allen, J. Chem. Phys. 56, 6068 (1972).
The effects of these changes on electron transport and reaction rate 
coefficients have been incorporated in the file TRANSPOR.TXT.

EFFECTIVE MOMENTUM-TRANSFER CROSS SECTION

              ENERGY     Effective Qm - Defined in introduction       
     1        0.0000        7.50            
     2        0.0010        7.50            
     3        0.0020        7.10            
     4        0.0030        6.70            
     5        0.0050        6.10            
     6        0.0070        5.40            
     7        0.0085        5.05            
     8        0.0100        4.60            
     9        0.0150        3.75            
    10        0.0200        3.25            
    11        0.0300        2.50            
    12        0.0400        2.05            
    13        0.0500        1.73            
    14        0.0700        1.130            
    15        0.1000        0.590            
    16        0.1200        0.400            
    17        0.1500        0.230            
    18        0.1700        0.160            
    19        0.2000        0.103            
    20        0.2500        0.091            
    21        0.3000        0.153            
    22        0.3500        0.235            
    23        0.4000        0.33            
    24        0.5000        0.51            
    25        0.7000        0.86            
    26        1.0000        1.38            
    27        1.2000        1.66            
    28        1.3000        1.82
    29        1.5000        2.10
    30        1.7000        2.3
    31        1.9000        2.5
    32        2.1000        2.8
    33        2.2000        2.9
    34        2.5000        3.3
    35        2.8000        3.8
    36        3.0000        4.1
    37        3.3000        4.5
    38        3.6000        4.9
    39        4.0000        5.4
    40        4.5000        6.1
    41        5.0000        6.7
    42        6.0000        8.1
    43        7.0000        9.6
    44        8.0000       11.7
    45       10.0000       15.0
    46       12.0000       15.2
    47       15.0000       14.1
    48       17.0000       13.1
    49       20.0000       11.0
    50       25.0000       9.45
    51       30.0000       8.74
    52       50.0000       6.90
    53       75.0000       5.85
    54      100.0000       5.25
    55      150.           4.24
    56      200.           3.76
    57        300.           3.02       
    58      500.           2.10
    59      700.           1.64
    60     1000.           1.21
    61     1500.           0.88
    62     2000.           0.66
    63     3000.           0.45
    64     5000.           0.31
    65     7000.           0.23
    66    10000.           0.175

TOTAL EXCITATION LOW E SCHAPERT-SCHEIBNER, HI E UNKNOWN                       
ENERGY LOSS =   11.500 ,   LOWER LIMIT =   11.378 ,   UPPER LIMIT =  10000.0 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       11.5000        0.0000            
     3       12.7000        0.0700            
     4       13.7000        0.1410            
     5       14.7000        0.2280            
     6       15.9000        0.3800            
     7       16.5000        0.4800            
     8       17.5000        0.6100            
     9       18.5000        0.7500            
    10       19.9000        0.9200            
    11       22.2000        1.1700            
    12       24.7000        1.3300
    13       27.0000        1.4200
    14       30.0000        1.4400
    15       33.0000        1.4100
    16       35.3000        1.3400
    17       42.0000        1.2500
    18       48.0000        1.1600
    19       52.0000        1.1100
    20       70.            0.94   
    21       100.           0.76
    22       150.           0.60
    23       200.           0.505
    24       300.           0.395
    25       500.           0.28
    26       700.           0.225
    27      1000.           0.177
    28      1500.           0.136
    29      2000.           0.11
    30      3000.           0.083
    31      5000.           0.058
    32      7000.           0.045
    33     10000.           0.035

AR IONIZATION - RAPP-SCHRAM                                                   
ENERGY LOSS =   15.800 ,   LOWER LIMIT =   15.686 ,   UPPER LIMIT =  10000.0 ,
EBR=   10.000000,    QSCALE=    1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       15.8000        0.0000            
     3       16.0000        0.0202            
     4       17.0000        0.1340            
     5       18.0000        0.2940            
     6       20.0000        0.6300            
     7       22.0000        0.9300            
     8       23.7500        1.1500            
     9       25.0000        1.3000            
    10       26.5000        1.4500            
    11       30.0000        1.8000            
    12       32.5000        1.9900            
    13       35.0000        2.1700            
    14       37.5000        2.3100            
    15       40.0000        2.3900            
    16       50.0000        2.5300
    17       55.0000        2.6000
    18      100.0000        2.8500
    19      150.0000        2.5200
    20      200.0000        2.3900
    21      300.0000        2.0000
    22      500.0000        1.4500
    23      700.0000        1.1500
    24     1000.0000        0.8600
    25     1500.0000        0.6400
    26     2000.0000        0.5200
    27     3000.0000        0.3600
    28     5000.0000        0.2400
    29     7000.0000        0.1800
    30    10000.0000        0.1350

ELASTIC MOMENTUM-TRANSFER CROSS SECTION  - added 11/2/97

This elastic momentum transfer cross section is provided for use by modelers
with, for example, Monte Carlo codes that require the elastic momentum 
cross section rather than the effective momentum transfer cross section 
given above.  This cross section is the same as above for energies below 
the first excitation potential.  For higher energies it is from the 
tabulation by M. Hayashi, Institute of Plasma Physics Report No. 
IPPJ-AM-19, 1981.  When the sum of the inelastic cross sections given 
above is added to the elastic momentum transfer cross section we obtain 
an effective momentum transfer cross section in agreement with that 
tabulated above to within their respective uncertainties.

              ENERGY     CROSS SECTION       
           1        0      7.5
           2    0.001      7.5
           3    0.002      7.1
           4    0.003      6.7
           5    0.005      6.1
           6    0.007      5.4
           7   0.0085     5.05
           8     0.01      4.6
           9    0.015     3.75
          10     0.02     3.25
          11     0.03      2.5
          12     0.04     2.05
          13     0.05     1.73
          14     0.07     1.13
          15      0.1     0.59
          16     0.12      0.4
          17     0.15     0.23
          18     0.17     0.16
          19      0.2    0.103
          20     0.25    0.091
          21      0.3    0.153
          22     0.35    0.235
          23      0.4     0.33
          24      0.5     0.51
          25      0.7     0.86
          26        1     1.38
          27      1.2     1.66
          28      1.3     1.82
          29      1.5      2.1
          30      1.7      2.3
          31      1.9      2.5
          32      2.1      2.8
          33      2.2      2.9
          34      2.5      3.3
          35      2.8      3.8
          36        3      4.1
          37      3.3      4.5
          38      3.6      4.9
          39        4      5.4
          40      4.5      6.1
          41        5      6.7
          42        6      8.1
          43        7      9.6
          44        8     11.7
          45       10       15
          46       12     14.5
          47       15     13.7
          48       17       11
          49       20      9.2
          50       25      6.8
          51       30      5.5
          52       50      3.2
          53       75     2.15
          54      100      1.6
          55      150      1.1
          56      200     0.88
          57      300      0.6
          58      500     0.37
          59      700     0.26
          60     1000     0.17
          61     1500    0.098
          62     2000    0.066
          63     3000    0.035
          64     5000    0.015
          65     7000   0.0088
          66    10000   0.0049

THE FOLLOWING ARE NOT PART OF THE SET OF CROSS SECTIONS USED 
TO CALCULATE THE TRANSPORT AND IONIZATION COEFFICIENTS FOR Ar
LISTED IN THE FILE TRANSPOR.TXT.

Their contributions to the energy loss, etc. are included in 
the "total" excitation cross sections listed above.

Rate coefficients and spatial excitation coefficients for the 
following three levels of Ar can be calculated by using the 
cross sections listed below by first multiplying each cross
section by, for example, 1E-4; using BACKPRO or equivalent to 
calculate rate coefficients for the combined set of cross 
sections; and multiplying the rate coefficient for these 
proceses by 1E4.  This procedure preserves the energy balance, 
transport coefficients, and ionization coefficients 
calculated with the preceding set of cross sections.

Excitation of 2p9 level - 811.5 nm emission                                  
ENERGY LOSS =   13.100 ,   LOWER LIMIT =   12.977 ,   UPPER LIMIT =  10000.0 
QSCALE =     1.00

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       13.1000        0.0000            
     3       13.2000        0.0004            
     4       13.7000        0.0240            
     5       14.7000        0.0650            
     6       15.9000        0.1140            
     7       16.5000        0.1400            
     8       17.5000        0.1800            
     9       18.5000        0.2200            
    10       19.9000        0.2400            
    11       22.2000        0.2600            
    12       24.7000        0.2200            
    13       27.0000        0.1900
    14       30.0000        0.1560
    15       33.0000        0.1250
    16       35.3000        0.1100
    17       42.0000        0.0670
    18       48.0000        0.0440
    19       52.0000        0.0360
    20       70.0000        0.0180
    21      100.0000        0.0110
    22      200.0000        0.0020
    23      500.0000        0.0000
    24    10000.0000        0.0000

Excitation of 2p7 level - 810.4 nm emission                                   
ENERGY LOSS =   13.150 ,   LOWER LIMIT =   12.977 ,   UPPER LIMIT =  10000.0 ,
QSCALE =     1.00

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       13.1500        0.0000            
     3       13.3000        0.00045           
     4       13.5000        0.00135           
     5       14.5000        0.0044            
     6       16.0000        0.0085            
     7       16.5000        0.0104            
     8       17.5000        0.0134            
     9       18.1500        0.0150            
    10       20.0000        0.0460            
    11       22.5000        0.0500            
    12       25.0000        0.0390            
    13       27.0000        0.0350
    14       30.0000        0.0300
    15       33.0000        0.0270
    16       35.0000        0.0250
    17       42.0000        0.0210
    18       48.0000        0.0190
    19       52.0000        0.0180
    20       70.0000        0.0155
    21      100.0000        0.0130
    22      200.0000        0.0100
    23      500.0000        0.0056
    24    10000.0000        0.00047

Excitation of 2s and 3d levels                                      
ENERGY LOSS =   14.200 ,   LOWER LIMIT =   12.977 ,   UPPER LIMIT = 10000.00 ,
QSCALE =     1.00

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       14.2000        0.0000            
     3       14.5000        0.0225            
     4       15.0000        0.0600            
     5       16.0000        0.1350            
     6       16.2000        0.1500            
     7       16.5000        0.1900            
     8       17.5000        0.2100            
     9       18.5000        0.2400      
    10       20.0000        0.2500      
    11       22.5000        0.2400      
    12       25.0000        0.2300      
    13       27.0000        0.2200
    14       30.0000        0.2100
    15       33.0000        0.2070
    16       35.0000        0.2050
    17       42.0000        0.1900
    18       48.0000        0.1750
    19       52.0000        0.16500
    20       70.0000        0.13000
    21      100.0000        0.09600
    22      200.0000        0.05400
    23      500.0000        0.03200
    24    10000.0000        0.00260.

ANALYTIC CROSS SECTIONS  (corrected 04/27/02-Thanks to Z. Donko)

The following are analytic approximations to the elastic momentum transfer
cross section Qmel, the effective momentum transfer cross section Qmeff,
the total excitation cross section Qex, and the ionization cross section Qion.
The combination Qmeff, Qex, and Qion has been used in the two-term Boltzmann 
code ELENDIF and to obtain calculated ionization coefficients that are 
within 15% of the experimental data of Kruithof (1940) for E/n from 30 to 300 
Td.  The cross sections are in m^2 and the energies, en, are in eV.

Qex = 0.85*(4E-22*(en-11.5)^1.1*(1+(en/15)^2.8)/(1+(en/23)^5.5)
             + 2.7E-22*(en-11.5)/(1+(en/80))^1.9)

Qion = 9.7E-18*(en-15.8)/(70+en)^2 + 6E-22*(en-15.8)^2*exp(-en/9)

Qmel = (ABS(6/(1+(en/0.1)+(en/0.6)^2)^3.3 -
         1.1*en^1.4/(1+(en/15)^1.2)/(1+(en/5.5)^2.5+(en/60)^4.1)^0.5) +
         0.05/(1+en/10)^2 + 0.01*en^3/(1+(en/12)^6))*1.0E-20

One should use Qmeff = Qmel + Qex + Qion for the effective momentum transfer 
cross section in the two-term Boltzmann equation. 

OTHER CROSS SECTION SOURCES:

A detailed published set of electron-Ar cross sections is V. Puech and L. 
Torchin, J. Phys. D, 19, 2309 (1986).  Unfortunately, tabulations of this 
cross section set do not appear to be publically available.  A disturbing 
feature of the Puech and Torchin set of cross sections is the large discrepancy 
between calculated and measured [Tachibana, Phys. Rev. A 34, 1007 (1986)] metastable 
excitation coefficients.

See Pack, Voshall, and Phelps, J. Appl. Phys. 71, 5363 (1992) for 
a recent analysis of He, Ar, Kr, and Xe using the two-term approximation 
over a very wide range of E/n.  I do not have files listing the 
inelastic cross sections used in these calculations.

Through the efforts of Professor K. Nanbu we have obtained 
permission to presnt a tabulation of the unpublished electron-Ar cross 
section set of Professor M. Hayashi in the file Hayashi.txt.  As discussed 
in this file, Hayashi's cross section set Has been shown to give fair agreement 
with swarm experiments by Nanbu and Kageyama, Vacuum 47, 1031 (1996).  I 
have not attempted a direct comparison of Hayahsi's cross sections with 
those of Puech and Torchin (1986).

Recent experimental references include:
S. Tsurubuchi, T. Mirazaki, and K. Motohashi, J. Phys. B 29, 1785 (1996). 
Excitation of 4p->4s, 5p->4s, and 4s->3p transitions.

J. E. Chilton, J. B. Boffard, R. S. Schappe, and C. C. Lin, Phys. Rev. A 57, 
267 (1998). 

Excitation out of metastable levels.
G. A. Piech, J. B. Boffard, M. F. Gehrke, L. W. Anderson, and C. C. Lin, 
Phys. Rev. A 81, 309 (1998).  See also, Phys. Rev A 59, 2749 (1999).

Stephen Biagi at sfb@hep.ph.liv.ac.uk has derived a set of 
electron-Ar cross sections that are consistent with swarm data. 
Private communication March 2002

M. Hayashi has assembled references and derived an electron-Ar cross 
section set in a report entitled "Bibliography of electron and photon 
cross sections with atoms and molecules published in the 20th century 
- argon", National Institute for Fusion Research Research, Report 
NIFS-Data Series NIFS-DATA-72, Jan. 2003. In 
an appendix to this reoprt Hayashi gives a set of recommended 
electron-Ar cross sections. This set is the same as that tabulated in 
the accompanying file Hayashi.txt.  The report cited is one of a series 
that reviews electron collisions with Xe, N2, SF6, and CO2.

An updated set of electron-Ar cross sections that are consistent with 
swarm experiments have been published recently by A. Yanguas-Gil, J. 
Cotrino, and L.L. Alves, J. Phys. D 38, 1588 (2005).  Tabulated cross 
sections are provided in a supplement.

Latest Ar changes 05/21/05
**********************************************************************
KRYPTON

I do not know of a cross section tabulation for Kr.

The best set of cross sections for electrons in krypton that I know of 
is that of Date et al, J. Phys. D 22, 1478 (1989).  They give cross sections
for excitation of the metastable states, but it is difficult to know
how much of the higher excited states cascade to the metastable
states. One would have to model such things as the trapping of
resonance radiation, collisional coupling by atoms and electrons, excited 
molecule formation, etc.  A more recent momentum transfer cross 
section is given by Brennan and Ness, Australian J. Phys. 46, 249 
(1993), but I would question the advisability of replacing the Date 
et al momentum transfer values with these results without a thorough 
analyses of the consequences. 

**********************************************************************

XENON - 1989                                                                   

Xenon MOMENTUM-TRANSFER CROSS SECTION

              ENERGY     Elastic Qm - Not effective Qm       
     1        0.0000      178.0000            
     2        0.0010      175.0000            
     3        0.0020      170.0000            
     4        0.0030      160.0000            
     5        0.0050      144.0000            
     6        0.0070      130.0000            
     7        0.0085      123.0000            
     8        0.0100      116.0000            
     9        0.0150      103.0000            
    10        0.0200       80.0000            
    11        0.0300       61.0000            
    12        0.0400       48.0000            
    13        0.0500       39.5000            
    14        0.0700       29.0000            
    15        0.1000       20.2000            
    16        0.1500       13.0000            
    17        0.2000        8.4000            
    18        0.2500        5.3500            
    19        0.3000        3.1500            
    20        0.3500        2.1000            
    21        0.4000        1.7500            
    22        0.5000        1.3800            
    23        0.7000        1.3600            
    24        1.0000        2.4800            
    25        1.2000        3.3500            
    26        1.3000        3.9000            
    27        1.5000        5.0000            
    28        1.7000        6.3000            
    29        1.9000        7.5000            
    30        2.1000        9.1000            
    31        2.2000        9.9000            
    32        2.5000       12.5000            
    33        2.8000       15.0000            
    34        3.0000       17.0000
    35        3.3000       18.9000
    36        3.6000       21.3000
    37        4.0000       24.8000
    38        4.5000       27.6000
    39        5.0000       30.8000
    40        6.0000       30.5000
    41        7.0000       28.0000
    42        8.0000       23.5000
    43       10.0000       16.0000
    44       12.0000       13.0000
    45       15.0000       10.2000
    46       17.0000        8.3000
    47       20.0000        7.0000
    48       25.0000        5.9000
    49       30.0000        5.1000
    50       40.0000        4.3000
    51       50.0000        3.6000
    52       60.0000        3.2000
    53       75.0000        2.7500
    54      100.0000        2.3500
    55      150.0000        1.9000
    56      200.0000        1.6000
    57      300.0000        1.3000
    58      500.0000        0.9700
    59      700.0000        0.7800
    60     1000.0000        0.5800
    61     1500.0000        0.3700
    62     2000.0000        0.2500
    63     3000.0000        0.1500
    64     5000.0000        0.0730
    65     7000.0000        0.0450
    66    10000.0000        0.0270

XE SINGLE LEVEL EXCITATION-SHAPER                                             
ENERGY LOSS =    8.320 ,   LOWER LIMIT =    7.998 ,   UPPER LIMIT = 1000.008 ,
QSCALE =     1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2        8.3200        0.0000            
     3        9.0000        0.0915            
     4        9.2000        0.1300            
     5        9.3200        0.1330            
     6        9.4100        0.1310            
     7        9.5200        0.1260            
     8        9.6400        0.1340            
     9       12.0000        0.3750            
    10       15.0000        0.7500            
    11       17.5000        0.9000            
    12       20.0000        0.8000            
    13       22.5000        0.6000            
    14       25.0000        0.4000            
    15       28.0000        0.3200
    16       32.0000        0.3000
    17       35.0000        0.3200
    18       40.0000        0.3200
    19       40.0000        0.3200
    20       45.0000        0.3200
    21       50.0000        0.3300
    22       70.0000        0.3500
    23      100.0000        0.3700
    24      150.0000        0.3000
    25      500.0000        0.2000
    26     1000.0000        0.1000
    27     3000.0000        0.0330
    28    10000.0000        0.0100

ENERGY LOSS =   12.100 ,   LOWER LIMIT =   10.991 ,   UPPER LIMIT = 9998.996 ,
XE IONIZATION RAPP,ENGLANDER-GOLDEN,1965                                         
EBR=    8.700000,    QSCALE=    1.000000

              ENERGY     CROSS SECTION       
     1        0.0000        0.0000            
     2       12.1000        0.0000            
     3       12.5000        0.1100            
     4       13.0000        0.2560            
     5       15.0000        0.9100            
     6       17.0000        1.5300            
     7       20.0000        2.2800            
     8       24.0000        3.1000            
     9       30.0000        3.8500            
    10       35.0000        4.1000            
    11       40.0000        4.4800            
    12       50.0000        4.8400            
    13       60.0000        5.0300            
    14       75.0000        5.2000            
    15      100.0000        5.3800
    16      150.0000        5.2000
    17      200.0000        4.6000
    18      300.0000        3.9000
    19      500.0000        2.9000
    20      700.0000        2.4000
    21     1000.0000        1.8800
    22     1500.0000        1.2500
    23     2000.0000        0.9400
    24     3000.0000        0.6300
    25     5000.0000        0.3800
    26     7000.0000        0.2700
    27    10000.0000        0.1900
    28    15000.0000        0.1250

OTHER CROSS SECTION SOURCES FOR XENON


A detailed set of electron-xenon excitation cross sections is 
given by Puech and Mizzi, J. Phys. D 24, 1974 (1991).  This set has 
been compared with swarm experiments and is available in analytic form.
I have not had occasion to check or to use these cross sections.
A word of caution: Note that although most coefficients calculated by
Puech and Mizzi for Ne in the same paper agree with experiment, the
calculated metastable excitation coefficients for Ne are not in
agreement with the measurements and model of Tachibana and Phelps 
Phys. Rev. A 36, 999 (1987).  How this problem carrys over to Xe is 
unknown.

See Pack, Voshall, and Phelps, J. Appl. Phys. 71, 5363 (1992) for 
an analysis of He, Ar, Kr, and Xe using the two-term approximation 
over a very wide range of E/n.  I do not have files listing the 
inelastic cross sections used in these calculations.

M. Hayashi has assembled references and derived an electron-Xe cross 
section set in a report entitled "Bibliography of electron and photon 
cross sections with atoms and molecules published in the 20th century 
- xenon", National Institute for Fusion Research Research, Research 
Report NIFS-Data Series NIFS-DATA-79, Sept. 2003. In 
an appendix to this reoprt Hayashi gives a set of recommended 
electron-Xe cross sections. This set presumably replaces the cross 
sections in Hayashi, J. Phys. D 16, 581 and 591 (1983).  The report 
cited is one of a series that reviews electron collisions with Ar, N2, 
SF6 and CO2.

Latest change for Xe on 12/29/03

******************************************************************

SODIUM CROSS SECTIONS - 1980

Sodium cross sections from 5/28/80 run
for R. Shuker, A. V. Phelps, and A. Gallagher, 
J. Appl. Phys. 51, 1306 (1980)

Na Qm     52 entries based on Moores et al
Actually the listed values appear to be total cross sections for elastic 
scattering. I have attempted to obtain better elastic Qm values from 
the authors of recent work on the inelastic scattering of electrons by 
Na, but it appears that such results are not available.

  energy    Assumed Qm 
      eV    10^-16cm2

       0      115
   0.001       78
   0.002       66
   0.003       61
   0.005       57
   0.007       57
  0.0085       58
    0.01       60
   0.015       79
    0.02       95
    0.03      140
    0.04      210
    0.05      290
    0.07      520
     0.1      780
    0.15      760
     0.2      570
    0.25      440
     0.3      350
    0.35      290
     0.4      250
     0.5      193
     0.7      128
       1       85
     1.2       67
     1.3       60
     1.5       52
     1.7       47
     1.9       45
     2.1       44
     2.2     43.5
     2.5       42
     2.8       41
       3     4.05
     3.3     39.7
     3.6     38.9
       4       38
     4.5     36.9
       5     36.3
       6     34.9
       7     33.8
       8     32.7
      10       31
      12     29.9
      15     28.3
      17     27.7
      20     26.7
      25     25.3
      30     24.3
      50     21.8
      75     19.8
     100     18.6

Na 3p-3s energy gain = 2.1 eV from Moores, Norcross, 
and Sheorey, J. Phys. B 7, 371 (1974)
  energy    Xsect         12 entries
      eV    10^-16cm2

       0        0
    0.01        0
   0.011       26
    0.02     19.5
    0.04     13.3
    0.07      9.6
     0.1      7.7
     0.2        5
     0.4        4
     0.7      3.5
       1     2.75
       2     2.05
       4      1.6
       7     1.35
      10      1.1
      20     0.82
      40     0.61
     100     0.35

Na 3p-4s  energy loss = 1.09 eV  from Moores et al. ibid.
  energy    Xsect           18 entries
      eV    10^-16cm2

       0        0
    1.09        0
    1.25      5.2
     1.5      7.9
     1.9     10.3
     2.9     11.7
       4     11.7
       6     11.1
      10      9.7
      20      7.7
      50      5.7
     100      4.5

Na 3p-4d  energy loss = 1.51 eV from Moores et al. ibid.
  energy    Xsect         12 entries
      eV    10^-16cm2

       0        0
    1.51        0
     1.6       11
     1.7     17.5
     1.9       24
     2.5       32
       3       36
       4     36.5
       6     34.5
      10       29
      25       20
     100       11

Na 3s-3p  energy loss = 2.1 eV from Enemark and Gallagher
Phys. Rev. A 6, 192 (1972)
  energy    Xsect        14 entries
      eV    10^-16cm2

       0        0
     2.1        0
     2.5     20.2
       3     27.1
       4     33.4
       5       36
       7     38.3
    10.5     37.9
    15.6     35.8
    23.8     25.7
    38.7     25.7
    63.7     19.2
    99.2     14.4
     100       14

Na ionization of 3p    e-loss = 3.04 eV from Devyatov
  energy    Xsect            12 entries
      eV    10^-16cm2

       0        0
    3.04        0
    3.75       29
     4.6       49
     6.1       73
       9       97
    12.2      109
      15      111
      18      110
      24      101
      40       80
     100       47

Na ionization of 3s    e-loss = 5.14 eV
  energy    Xsect            16 entries
      eV    10^-16cm2

       0        0
    5.14        0
    7.07     3.97
    7.47     4.61
     8.2     5.42
    9.11     5.99
   10.39      6.4
   12.02     6.69
   13.55     6.76
   15.19     6.72
   17.95     6.58
   21.05     6.39
      26     6.09
      30     5.82
      50      4.7
     100     3.17

For more recent theory and experiment see, for example:
B. Marinkovic, P. Wang, A. Gallagher, Phys. Rev. A 46, 2553 (1992),
W. K. Trail et al, Phys Rev. A 49, 3620 (1994)

*********************************************************************

Mg cross sections

The following data is in the format appropriate to the Boltzmann 
code "ELENDIF" available from http://www.csn.net so that electron-
electron and electron-ion effects can be included.  The 
electron energy-cross section pairs are in eV and 10^-16 cm^2.

References are:
I. I. Frabrikant, J. Phys. B 7, 91 (1974)
D. Leep and A. Gallagher, Phys. Rev. A 13, 148 (1976)
W. Williams and S. trajmar, J. Phys. B 11, 2021 (1978)

See also:
J. K. Van Blerkom, J. Phys. B 3, 932 (1970)
F. Karstensen and M. Schneider, J. Phys. B 11, 167 (1978)
----------
species
Mg

# Vibr    # Elct    # Othr
   0         2         1

mol wt        g
24.32         1.

Mg momentum transfer Effective Qm - Defined in introduction
N pairs    scale
  66         1.

0.00E+00 8.00E+00 4.00E-01 3.70E+01 1.00E+01 3.20E+01
1.00E-03 8.07E+00 5.00E-01 4.40E+01 1.20E+01 3.00E+01
2.00E-03 8.14E+00 7.00E-01 5.80E+01 1.50E+01 2.00E+01
3.00E-03 8.21E+00 1.00E+00 8.00E+01 1.70E+01 1.30E+01
5.00E-03 8.35E+00 1.20E+00 7.80E+01 2.00E+01 1.00E+01
7.00E-03 8.50E+00 1.30E+00 7.60E+01 2.50E+01 6.00E+00
8.50E-03 8.60E+00 1.50E+00 7.50E+01 3.00E+01 5.00E+00
1.00E-02 8.70E+00 1.70E+00 7.40E+01 5.00E+01 4.20E+00
1.50E-02 9.13E+00 1.90E+00 7.30E+01 7.50E+01 3.50E+00
2.00E-02 9.40E+00 2.10E+00 7.00E+01 1.00E+02 3.00E+00
3.00E-02 1.01E+01 2.20E+00 6.80E+01 1.50E+02 2.50E+00
4.00E-02 1.08E+01 2.50E+00 6.50E+01 2.00E+02 2.10E+00
5.00E-02 1.16E+01 2.80E+00 6.10E+01 3.00E+02 1.60E+00
7.00E-02 1.30E+01 3.00E+00 5.80E+01 5.00E+02 1.40E+00
1.00E-01 1.50E+01 3.30E+00 5.50E+01 7.00E+02 1.20E+00
1.20E-01 1.90E+01 3.60E+00 5.30E+01 1.00E+03 1.00E+00
1.50E-01 2.30E+01 4.00E+00 5.00E+01 1.50E+03 8.00E-01
1.70E-01 2.00E+01 4.50E+00 4.50E+01 2.00E+03 7.00E-01
2.00E-01 2.30E+01 5.00E+00 4.00E+01 3.00E+03 5.50E-01
2.50E-01 2.60E+01 6.00E+00 3.80E+01 5.00E+03 4.30E-01
3.00E-01 3.00E+01 7.00E+00 3.70E+01 7.00E+03 3.50E-01
3.50E-01 3.30E+01 8.00E+00 3.50E+01 1.00E+04 3.00E-01

Mg(3P) /Trajmar-unresolved triplet,Hussain-3P1-2.3 ms

2.710000E+00        9.      21        1.000000

2.71E+00 0.00E+00 2.00E+01 8.00E-01 1.00E+03 0.00E+00
3.00E+00 1.00E+01 2.50E+01 3.50E-01 1.50E+03 0.00E+00
4.00E+00 7.00E+00 3.50E+01 6.00E-02 2.00E+03 0.00E+00
5.00E+00 5.00E+00 3.50E+01 1.00E-02 3.00E+03 0.00E+00
8.00E+00 4.00E+00 2.00E+02 0.00E+00 5.00E+03 0.00E+00
1.00E+01 3.50E+00 3.00E+02 0.00E+00 7.00E+03 0.00E+00
1.20E+01 2.00E+00 5.00E+02 0.00E+00 1.00E+04 0.00E+00

Mg(1P1) /Leep and Gallagher

4.330000E+00        3.      29        1.000000

4.33E+00 0.00E+00 8.90E+00 1.65E+01 1.48E+02 8.26E+00
4.60E+00 2.10E+00 1.00E+01 1.60E+01 2.49E+02 5.80E+00
4.75E+00 2.85E+00 1.20E+01 1.64E+01 3.99E+02 4.06E+00
4.90E+00 3.86E+00 1.50E+01 1.70E+01 6.00E+02 2.96E+00
5.08E+00 5.03E+00 1.85E+01 1.73E+01 8.00E+02 2.35E+00
5.40E+00 6.09E+00 2.40E+01 1.71E+01 1.10E+03 1.81E+01
5.75E+00 7.67E+00 3.00E+01 1.66E+01 1.40E+03 1.48E+00
6.10E+00 9.13E+00 3.79E+01 1.59E+01 3.00E+03 1.00E-02
6.60E+00 1.07E+01 6.27E+01 1.33E+01 1.00E+04 1.00E-03
7.50E+00 1.42E+01 9.81E+01 1.06E+01

Mg+

7.640000        1.000000          23        1.000000

7.64E+00 0.00E+00 8.00E+01 2.60E+00 1.00E+03 5.00E-01
1.00E+01 7.50E+00 1.00E+02 1.80E+00 1.50E+03 4.00E-01
1.20E+01 8.00E+00 2.00E+02 1.30E+00 2.00E+03 3.00E-01
2.00E+01 6.30E+00 2.80E+02 1.10E+00 3.00E+03 2.00E-01
3.00E+01 5.20E+00 3.00E+02 1.00E+00 5.00E+03 1.00E-01
4.00E+01 4.00E+00 5.00E+02 8.50E-01 7.00E+03 7.00E-02
5.00E+01 3.50E+00 7.00E+02 7.00E-01 1.00E+04 5.00E-02
6.00E+01 3.20E+00 8.00E+02 6.00E-01



OZONE

Stephen Biagi at sfb@hep.ph.liv.ac.uk has derived a set of 
electron-O3 cross sections. 
Private communication March 2002



HYDROGEN HALIDE MOLECULES

M. Hayashi has assembled references and derived an electron-HF, HCl, HBr,
and HI cross section set in a report entitled "Bibliography of electron and 
photon cross sections with atoms and molecules published in the 20th century 
- Hydrogen Halide Molecules", National Institute for Fusion Research Research, 
Report NIFS-Data Series NIFS-DATA-83, Mar. 2004. The report does not 
contain sets of recommended cross sections, but has some relevant 
comments at the end. The report cited is one of a series that gives
bibliographies of papers on electron collisions with various gases.