.. _sphx_glr_api_gallery_crystal_packing:

Hard-sphere packing
---------------------

Atomic packing factor, coordination number, and atoms per cell for the
simple cubic, body-centered cubic, face-centered cubic, and ideal
hexagonal close-packed lattices.


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    <div class="sphx-glr-thumbcontainer" tooltip="Kepler (1611) guessed that no stacking of equal spheres fills space more densely than the layered (face-centered cubic / hexagonal close) packing, with fraction \pi/\sqrt{18}\approx0.7405. Comparing the four textbook lattices shows the close-packed pair at exactly that bound.">

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  .. image:: /api/gallery/crystal/packing/images/thumb/sphx_glr_plot_01_packing_fractions_thumb.png
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  :doc:`/api/gallery/crystal/packing/plot_01_packing_fractions`

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      <div class="sphx-glr-thumbnail-title">Kepler's conjecture: packing efficiency of SC, BCC, FCC, and HCP</div>
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    </div>


.. toctree::
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   /api/gallery/crystal/packing/plot_01_packing_fractions