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.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter7: Quantum Mechanics

Section: Chapter Questions

Problem 7.8CYU: Check Your Understanding The vibrational frequency of the hydrogen iodide HI diatomic molecule is...

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