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Discuss in fundamental approach,the following theories of specific heat with a bias on their failures and success I)classical theory of heat capacity ii)Einstein theory of heat capacity iii)Debye theory of heat capacity

Discuss in fundamental approach,the following theories of specific heat with a bias on their failures and success
I)classical theory of heat capacity
ii)Einstein theory of heat capacity 
iii)Debye theory of heat capacity

Grade:6

1 Answers

Jayesh Vashishtha
askIITians Faculty 37 Points
one month ago
Einstein model considered that there was only one type of mode of vibration exist within the crystal lattice that contributes to the lattice heat capacity.

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But in Einstein model the first term is associated with zero point energy and does not contribute to specific heat. It will therefore be lost in the next step. which is equivalent to Dulong–Petit law. Nevertheless, the heat capacity noticeably deviates from experimental values at low temperatures.

Debye model considered all the mode of vibrations in the crystal lattice have linear dispersion relation (E vs k is linear).

Askiitians expert
Jayesh Vashishtha

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