.. _sphx_glr_api_gallery_spectro_lineshapes:

Spectral lineshapes
---------------------

The Gaussian, Lorentzian, and Voigt lineshapes, and the two physically
distinct broadening mechanisms (Doppler/inhomogeneous vs.
lifetime-collisional/homogeneous) that produce them.


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  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


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    <div class="sphx-glr-thumbnails">

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    <div class="sphx-glr-thumbcontainer" tooltip="Compares the three standard spectral lineshapes at matched FWHM: a Lorentzian (the shape a classically radiating damped oscillator, or a finite-lifetime quantum transition, produces -- &quot;homogeneous&quot; broadening, identical for every molecule in the sample), a Gaussian (the shape a Maxwell-Boltzmann spread of line-of-sight velocities produces via the Doppler effect -- &quot;inhomogeneous&quot; broadening, different molecules contributing different, momentarily Doppler-shifted, sub-lines), and their convolution, the Voigt profile, which is what a real spectrum typically shows once both mechanisms contribute together. The Lorentzian has visibly heavier tails than the Gaussian at the same FWHM -- the qualitative signature used to diagnose which mechanism dominates a real measured line.">

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  .. image:: /api/gallery/spectro/lineshapes/images/thumb/sphx_glr_plot_01_lineshapes_thumb.png
    :alt:

  :doc:`/api/gallery/spectro/lineshapes/plot_01_lineshapes`

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      <div class="sphx-glr-thumbnail-title">Gaussian, Lorentzian, and Voigt lineshapes: two broadening mechanisms and their convolution</div>
    </div>


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    </div>


.. toctree::
   :hidden:

   /api/gallery/spectro/lineshapes/plot_01_lineshapes