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The dispersion relation for a one dimensional monatomic crystal with lattice spacing a, which interacts via nearest neighbor harmonic potential is given by: W=A Asin (), where A is a constant of appropriate unit. The group velocity at the boundary of the first Brillouin zone is: A. 0 B. 1 C. D. Aa² 2 Aa² 2 QUESTION 24 - For a diatomic linear chain, the phonon dispersion relation (k) has two branches corresponding to and sign respectively: 2 1 4 1 (M₁ + M₁ ) ± √ [(M₁ + M₁₂) - M₁ M₂ There are two atoms in the unit cell with masses and M2 and the force constant of nearest M₁M₂ M₁ + M₂ neighbor interaction is F and the effective mass, = sound will be: A) B) a M₁ + M₁ 2√2(M₁+M₁) C) a w(k) = f M₁ + M₁ -sin² (9) 1/2 is kept constant. The velocity of

The dispersion relation for a one dimensional monatomic crystal with lattice spacing a, which interacts via nearest neighbor harmonic potential is given by: W=A Asin (), where A is a constant of appropriate unit. The group velocity at the boundary of the first Brillouin zone is: A. 0 B. 1 C. D. Aa² 2 Aa² 2 QUESTION 24 - For a diatomic linear chain, the phonon dispersion relation (k) has two branches corresponding to and sign respectively: 2 1 4 1 (M₁ + M₁ ) ± √ [(M₁ + M₁₂) - M₁ M₂ There are two atoms in the unit cell with masses and M2 and the force constant of nearest M₁M₂ M₁ + M₂ neighbor interaction is F and the effective mass, = sound will be: A) B) a M₁ + M₁ 2√2(M₁+M₁) C) a w(k) = f M₁ + M₁ -sin² (9) 1/2 is kept constant. The velocity of

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The dispersion relation for a one dimensional monatomic crystal with lattice spacing a, which interacts via nearest neighbor harmonic potential is given by: w=A Asin (), where A is a constant of appropriate unit. The group velocity at the boundary of the first Brillouin zone is: A. 0 B. 1 C. D. 2 Aa² 2 www. Aq² QUESTION 24 For a diatomic linear chain, the phonon dispersion relation (k) has two branches corresponding to + and sign respectively: 1 1 (M₁₂ + M₁₂) ± P | (M₁ + M₁₂ 1 There are two atoms in the unit cell with masses and M2 and the force constant of nearest neighbor interaction is F and the effective mass, sound will be: A) NA B) = 2 C) a M₁ + M₁ 2(M₁+M₁) w(k) = f M₁ + M₁ 2 4 M₂)²³ - M₁M₂ M₁M₂ M₁+M₂ sin² (29/1/² is kept constant. The velocity of
Transcribed Image Text:The dispersion relation for a one dimensional monatomic crystal with lattice spacing a, which interacts via nearest neighbor harmonic potential is given by: w=A Asin (), where A is a constant of appropriate unit. The group velocity at the boundary of the first Brillouin zone is: A. 0 B. 1 C. D. 2 Aa² 2 www. Aq² QUESTION 24 For a diatomic linear chain, the phonon dispersion relation (k) has two branches corresponding to + and sign respectively: 1 1 (M₁₂ + M₁₂) ± P | (M₁ + M₁₂ 1 There are two atoms in the unit cell with masses and M2 and the force constant of nearest neighbor interaction is F and the effective mass, sound will be: A) NA B) = 2 C) a M₁ + M₁ 2(M₁+M₁) w(k) = f M₁ + M₁ 2 4 M₂)²³ - M₁M₂ M₁M₂ M₁+M₂ sin² (29/1/² is kept constant. The velocity of
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