The Debye Solid
- filipemmenezes
- May 28, 2020
- 1 min read
When it comes to the properties of crystals, there are two central models in statistical mechanics. One is the the Einstein crystal, which is developed in most books in statistical mechanics. This model is valid mostly at medium ranged temperatures. The Einstein model requires a phonon frequency that can be estimated by fitting, thus giving access to the thermodynamics of the solid. On the low-temperature range there is the Debye model as well, which requires knowing the density and speed of sound of the crystal. This is the model we develop in the PDF-file below.
Microscopic structure of sodium chloride (a.k.a. table salt), taken from wikipedia (https://commons.wikimedia.org/wiki/File:Sodium-chloride-3D-ionic.png)
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