Determine the heat capacity of a two-dimensional layer of atoms in the Debye model. As in the lecture, start with the calculation of the phonon density of states in 2D and solve the integral for the inner energy thereafter. Demonstrate that the heat capacity in 2D scales with T?. You may use the following approximation: J x2 -dx = 2.404. ex-1

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter11: Molecular Structure
Section: Chapter Questions
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Determine the heat capacity of a two-dimensional layer of atoms in the Debye model. As in the lecture, start with the
calculation of the phonon density of states in 2D and solve the integral for the inner energy thereafter. Demonstrate
that the heat capacity in 2D scales with T?. You may use the following approximation: J
x2
-dx = 2.404.
ex-1
Transcribed Image Text:Determine the heat capacity of a two-dimensional layer of atoms in the Debye model. As in the lecture, start with the calculation of the phonon density of states in 2D and solve the integral for the inner energy thereafter. Demonstrate that the heat capacity in 2D scales with T?. You may use the following approximation: J x2 -dx = 2.404. ex-1
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