Lecture 07 - Note - Cp and Cv

Glatticepotentialenergy exp 1 2and 1 meansdynamic

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Unformatted text preview: p ( : Grüneisen constant for phonons, for electrons in 3D, for photons in 3D) ln ( is the “background” energy – e.g. lattice potential energy) ∑ exp ( means “dynamic”) 1 , Generally, ~1 2 and 1 For the electronic term, 10 / , and thus the correction is on the order of a few percent at the most. . 3 5 3 , 2 , 6 2 3 5 1 3 2 6 1 1 1 G.‐H. Gweon 1 5 6 1 1 1 3 Phys 231, Fall 2007, UCSC Page 2 . For the lattice term, 9 8 9 8 At low T: 1 12 5 1 3 1 12 5 Replacing the bulk modulus with the term coming from , it can be seen that the dominant contribution for the bulk modulus would be from where numerical factor . However, note that , and so would be multiplied by a small is the binding energy of an atom/ion. At high T: ~ 1 ~1 G.‐H. Gweon Phys 231, Fall 2007, UCSC Page 3...
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This document was uploaded on 03/07/2014 for the course PHYS 231 at University of California, Santa Cruz.

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