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