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A one-dimensional diatomic harmonic crystal has a phonon-dispersion relation equal to: (M²) | 1 ± √ ² w² = C (M₁ + M₂) M

Posted: Wed May 25, 2022 7:27 am
by answerhappygod
A One Dimensional Diatomic Harmonic Crystal Has A Phonon Dispersion Relation Equal To M 1 W C M M M 1
A One Dimensional Diatomic Harmonic Crystal Has A Phonon Dispersion Relation Equal To M 1 W C M M M 1 (30.05 KiB) Viewed 24 times
A one-dimensional diatomic harmonic crystal has a phonon-dispersion relation equal to: (M²) | 1 ± √ ² w² = C (M₁ + M₂) M₁ M₂ 1 - (1 - cos ka) 2M₁ M₂ (M₂+ M₂)² a. Calculate the dispersion relation for acoustic modes when M1-M2-M. Simplify your answer. (5 points) b. Is your result in the previous question different from the phonon dispersion relation for a 4C monoatomic crystal (w² = sin² (2))? Explain why or why not. (5 points) M