The heat capacity of a solid at constant volume is given, according to the Debye model, as 3 D/T (2-)² 10² d² (²-1)²² T x¹ ex dx- (ex where is the Debye temperature, N the number of atoms, and kB the Boltzmann constant. Show that this tends to a constant at high temperatures. Cv = 9kBN су

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The heat capacity of a solid at constant volume is given, according to the Debye model, as
3 rep/T
(1) foot dx + = 1².
(ex - 1)²¹
where D is the Debye temperature, N the number of atoms, and kB the Boltzmann constant.
Show that this tends to a constant at high temperatures.
Cv = 9kBN
Transcribed Image Text:The heat capacity of a solid at constant volume is given, according to the Debye model, as 3 rep/T (1) foot dx + = 1². (ex - 1)²¹ where D is the Debye temperature, N the number of atoms, and kB the Boltzmann constant. Show that this tends to a constant at high temperatures. Cv = 9kBN
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