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Debye model
In thermodynamics and solid state physics, the Debye model is a method of calculating the phonon contribution to the specific heat in a solid. It improves upon the Einstein model, which assumes a single phonon frequency, by approximating the phonon density of states as a constant up to a cutoff frequency, called the Debye frequency. This model correctly predicts the low temperature dependence of the heat capacity, which is proportional to T3, and it also recovers the Dulong-Petit law at high temperatures.
According to the Debye model, which was developed by Peter Debye in 1913,
where θD is the Debye temperature, which is characteristic for each material. The following table lists Debye temperatures for several metals:
| Substance | θD(K) |
| Aluminum | 426 |
| Cadmium | 186 |
| Chromium | 610 |
| Copper | 344.5 |
| Gold | 165 |
| α-Iron | 464 |
| Lead | 96 |
| α-Manganese | 476 |
| Nickel | 440 |
| Platinum | 240 |
| Silicon | 640 |
| Silver | 225 |
| Tin (white) | 195 |
| Titanium | 420 |
| Tungsten | 405 |
| Zinc | 300 |
| Diamond | 2200 |
| Ice | 192 |
References
CRC Handbook of Chemistry and Physics, 56th Edition (1975-1976)
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