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4c sin M ka The dispersion relation of phonons in a monatomic, linear chain of atoms is given by: w(k) = . Compare the maximum phonon frequency at the edge of the Brillouin zone with the Debye frequency of the chain. What is the difference between the real phonon density of states lat the edge of the Brillouin zone and the state density in the De- bye model? Calculate all four values (@max, OD, D(@max), D(@p) for a speed of sound of v; = 400 m/s and 50 atoms in the chain (a = 3Å). Describe the zone boundary with 0.99 T/a.

4c sin M ka The dispersion relation of phonons in a monatomic, linear chain of atoms is given by: w(k) = . Compare the maximum phonon frequency at the edge of the Brillouin zone with the Debye frequency of the chain. What is the difference between the real phonon density of states lat the edge of the Brillouin zone and the state density in the De- bye model? Calculate all four values (@max, OD, D(@max), D(@p) for a speed of sound of v; = 400 m/s and 50 atoms in the chain (a = 3Å). Describe the zone boundary with 0.99 T/a.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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4c sin M ka The dispersion relation of phonons in a monatomic, linear chain of atoms is given by: w(k) = . Compare the maximum phonon frequency at the edge of the Brillouin zone with the Debye frequency of the chain. What is the difference between the real phonon density of states lat the edge of the Brillouin zone and the state density in the De- bye model? Calculate all four values (@max, OD, D(@max), D(@p) for a speed of sound of v; = 400 m/s and 50 atoms in the chain (a = 3Å). Describe the zone boundary with 0.99 T/a.
Transcribed Image Text:4c sin M ka The dispersion relation of phonons in a monatomic, linear chain of atoms is given by: w(k) = . Compare the maximum phonon frequency at the edge of the Brillouin zone with the Debye frequency of the chain. What is the difference between the real phonon density of states lat the edge of the Brillouin zone and the state density in the De- bye model? Calculate all four values (@max, OD, D(@max), D(@p) for a speed of sound of v; = 400 m/s and 50 atoms in the chain (a = 3Å). Describe the zone boundary with 0.99 T/a.
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