q_to_tth & tth_to_q

doc/source/examples/diffractionobjectsexample.rst

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+.. _Diffraction Objects Example:
+
+:tocdepth: -1
+
+Diffraction Objects Example
+###########################
+
+This example will demonstrate how to use the ``DiffractionObject`` class in the
+``diffpy.utils.scattering_objects.diffraction_objects`` module to process and analyze diffraction data.
+
+1) We have the function ``q_to_tth`` to convert q to two theta values in degrees, and ``tth_to_q`` to do the reverse.
+   You can use these functions with a pre-defined ``DiffractionObject``. ::
+
+    # convert q to tth
+    from diffpy.utils.scattering_objects.diffraction_objects import DiffractionObject
+    test = DiffractionObject(wavelength=1.54)
+    test.on_q = [[0, 0.2, 0.4, 0.6, 0.8, 1], [1, 2, 3, 4, 5, 6]]
+    test.q_to_tth()
+
+   This function will convert your provided q array and return a two theta array in degrees.
+   To load the converted array, you can either call ``test.q_to_tth()`` or ``test.on_q[0]``.
+
+   Similarly, use the function ``tth_to_q`` to convert two theta values in degrees to q values. ::
+
+    # convert tth to q
+    from diffpy.utils.scattering_objects.diffraction_objects import DiffractionObject
+    test = DiffractionObject(wavelength=1.54)
+    test.on_tth = [[0, 30, 60, 90, 120, 180], [1, 2, 3, 4, 5, 6]]
+    test.tth_to_q()
+
+   To load the converted array, you can either call ``test.tth_to_q()`` or ``test.on_tth[0]``.
+
+2) You can use these functions without specifying a wavelength. However, if so, the function will return an empty array,
+   so we strongly encourage you to specify a wavelength when using these functions. ::
+
+    from diffpy.utils.scattering_objects.diffraction_objects import DiffractionObject
+    test = DiffractionObject()
+    test.on_q = [[0, 0.2, 0.4, 0.6, 0.8, 1], [1, 2, 3, 4, 5, 6]]
+    test.q_to_tth()
+
+   In this case, the function will return an empty array on two theta.

doc/source/utilities/diffractionobjectsutility.rst

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+.. _Diffraction Objects Utility:
+
+Diffraction Objects Utility
+===========================
+
+The ``diffpy.utils.scattering_objects.diffraction_objects`` module provides functions
+for managing and analyzing diffraction data, including angle-space conversions
+and interactions between diffraction data.
+
+- ``q_to_tth()``: Converts an array of q values to their corresponding two theta values, based on specified wavelength.
+- ``tth_to_q()``: Converts an array of two theta values to their corresponding q values, based on specified wavelength.
+
+  These functions help developers standardize diffraction data and update the arrays
+  in the associated ``DiffractionObject``, enabling easier analysis and further processing.
+
+For a more in-depth tutorial for how to use these functions, click :ref:`here <Diffraction Objects Example>`.