.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "gen_examples/ionic/plot_static_structure_factors_Arkhipov_Devletov.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download_gen_examples_ionic_plot_static_structure_factors_Arkhipov_Devletov.py>`
        to download the full example code

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_gen_examples_ionic_plot_static_structure_factors_Arkhipov_Devletov.py:


Plot static structure Factors in the Approximation by Arkhipov and Devletov
===========================================================================

This scripts plots :math:`S_{ee}`, :math:`S_{ei}`, and :math:`S_{ii}` for
Carbon with an ionization of 4.5 at :math:`T = 13\text{eV}` and
:math:`n_e = 1\times 10^{22} 1 / \text{cm}^3`, in the approach presented
by :cite:`Arkhipov.1998`.

.. GENERATED FROM PYTHON SOURCE LINES 10-56



.. image-sg:: /gen_examples/ionic/images/sphx_glr_plot_static_structure_factors_Arkhipov_Devletov_001.svg
   :alt: plot static structure factors Arkhipov Devletov
   :srcset: /gen_examples/ionic/images/sphx_glr_plot_static_structure_factors_Arkhipov_Devletov_001.svg
   :class: sphx-glr-single-img





.. code-block:: Python


    import jax.numpy as jnp
    import matplotlib.pyplot as plt

    import jaxrts

    ureg = jaxrts.units.ureg

    plt.style.use("science")

    k = jnp.linspace(0.0, 6, 200) / (1 * ureg.angstrom)
    n_e = 1e22 / ureg.centimeter**3
    T_e = 13.0 * ureg.electron_volts / ureg.k_B
    T_cf = jaxrts.static_structure_factors.T_cf_Greg(T_e, n_e)
    Z_f = 4.5
    m_i = 12 * ureg.atomic_mass_constant

    See = jaxrts.static_structure_factors.S_ee_AD(k, T_cf, T_cf, n_e, m_i, Z_f)
    Sei = jaxrts.static_structure_factors.S_ei_AD(k, T_cf, T_cf, n_e, m_i, Z_f)
    Sii = jaxrts.static_structure_factors.S_ii_AD(k, T_cf, T_cf, n_e, m_i, Z_f)

    plt.plot(
        k.m_as(1 / ureg.angstrom),
        See.m_as(ureg.dimensionless),
        label="$S_{ee}$",
        color="C0",
    )
    plt.plot(
        k.m_as(1 / ureg.angstrom),
        Sii.m_as(ureg.dimensionless),
        label="$S_{ii}$",
        color="C1",
    )
    plt.plot(
        k.m_as(1 / ureg.angstrom),
        Sei.m_as(ureg.dimensionless),
        label="$S_{ei}$",
        color="C2",
    )

    plt.xlabel(r"$k$ [1/$\AA$]")
    plt.ylabel(r"Static structure factor [arb. units]")

    plt.legend()
    plt.tight_layout()
    plt.show()


.. rst-class:: sphx-glr-timing

   **Total running time of the script:** (0 minutes 1.952 seconds)


.. _sphx_glr_download_gen_examples_ionic_plot_static_structure_factors_Arkhipov_Devletov.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download Jupyter notebook: plot_static_structure_factors_Arkhipov_Devletov.ipynb <plot_static_structure_factors_Arkhipov_Devletov.ipynb>`

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download Python source code: plot_static_structure_factors_Arkhipov_Devletov.py <plot_static_structure_factors_Arkhipov_Devletov.py>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_