The lattice specific heat C of a crystalline solid can be...

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The lattice specific heat C of a crystalline solid can be obtained using. the Dulong-Petit model, Einstein model and Debye model. At low temperature hω ≫ k_BT, which one of the following statements is true? (a and A are constants)

A. Dulong-Petit: $$C \propto \exp \left( {\frac{{ - a}}{T}} \right)$$ ; Einstein: C = constant; Debye: $$C \propto {\left( {\frac{T}{A}} \right)^3}$$

B. Dulong-Petit: C = constant; Einstein: $$C \propto {\left( {\frac{T}{A}} \right)^3}$$ ; Debye: $$C \propto \exp \left( {\frac{{ - a}}{T}} \right)$$

C. Dulong-Petit: C = constant; Einstein: $$C \propto \frac{{{e^{ - a/T}}}}{{{T^2}}}$$ ; Debye: $$C \propto {\left( {\frac{T}{A}} \right)^3}$$

D. Dulong-Petit: $$C \propto {\left( {\frac{T}{A}} \right)^3}$$ ; Einstein: $$C \propto \frac{{{e^{ - a/T}}}}{{{T^2}}}$$ ; Debye: C = constant

Answer: Option C

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