.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "auto_examples/04_Tools/plot_01_larmor_frequency.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

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

        :ref:`Go to the end <sphx_glr_download_auto_examples_04_Tools_plot_01_larmor_frequency.py>`
        to download the full example code

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

.. _sphx_glr_auto_examples_04_Tools_plot_01_larmor_frequency.py:


.. _plot_01_larmor_frequency:

=======================================
Calculate/Plot Nuclear Larmor Frequency
=======================================

This example demonstrates how to use the tool to calculate the nuclear Larmor frequency.

.. GENERATED FROM PYTHON SOURCE LINES 13-26

Get Magnetic Resonance Properties
=================================
DNPLab stores a dictionary called ``gmrProperties`` with magnetic resonance properties of all nuclei of the periodic table. The dictionary is modeled after the Matlab function *gmr* written, and implemented by |GMRFunctionMatlab|. For more details see the detailed documentation of the dictionary. The dictionary stores the following parameters:

* Spin Quantum Number
* Gyromagnetic Ratio (Hz/T)
* Nuclear Quadrupole Moment (fm^2, 100 barns)
* Isotope Natural Abundance (%)
* Relative Sensitivity with Respect to 1H at same B_{0}

(for nuclei with I > 1/2), and some more parameters. This dictionary can be used to provide nuclear properties in any calculation, it is also used by the DNPLab function ``mr_properties``.

To get started, first, setup the python environment:

.. GENERATED FROM PYTHON SOURCE LINES 26-30

.. code-block:: Python


    import dnplab as dnp
    import matplotlib.pyplot as plt








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Let's query some of the parameters:

.. GENERATED FROM PYTHON SOURCE LINES 34-35

**Proton Gyromagnetic Ratio**

.. GENERATED FROM PYTHON SOURCE LINES 35-38

.. code-block:: Python


    print("v_L(1H) = ", dnp.mr_properties("1H"), "(Hz/T)")





.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    v_L(1H) =  42577469.05766274 (Hz/T)




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**Nirogen 14N nuclear spin quantum number**

.. GENERATED FROM PYTHON SOURCE LINES 40-43

.. code-block:: Python


    print("I = ", dnp.mr_properties("14N", "spin"))





.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    I =  1




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**Carbon 13 (13C) natural abundance**

.. GENERATED FROM PYTHON SOURCE LINES 45-48

.. code-block:: Python


    print(dnp.mr_properties("13C", "natAbundance"), " %")





.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    1.07  %




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**Plot Gyromagnetic Ratios for Elements in the Periodic Table**

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.. code-block:: Python


    gmr = [value[1] for value in dnp.gmrProperties.values()]

    plt.figure()
    plt.plot(gmr[1:-1])
    plt.xlabel("Index")
    plt.ylabel("Gyromagnetic Ratio (10^7r/Ts)")
    plt.grid(True)
    plt.show()



.. image-sg:: /auto_examples/04_Tools/images/sphx_glr_plot_01_larmor_frequency_001.png
   :alt: plot 01 larmor frequency
   :srcset: /auto_examples/04_Tools/images/sphx_glr_plot_01_larmor_frequency_001.png
   :class: sphx-glr-single-img






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

   **Total running time of the script:** (0 minutes 0.087 seconds)


.. _sphx_glr_download_auto_examples_04_Tools_plot_01_larmor_frequency.py:

.. only:: html

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

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

      :download:`Download Jupyter notebook: plot_01_larmor_frequency.ipynb <plot_01_larmor_frequency.ipynb>`

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

      :download:`Download Python source code: plot_01_larmor_frequency.py <plot_01_larmor_frequency.py>`


.. only:: html

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

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