QUESTION 24 For a diatomic linear chain, the phonon dispersion relation (k) has two branches corresponding to + and-sign respectively: 2 w(K) = f (M₂₁ + M₂) ± ƒ [(M₂ ²+ M₂) There are two atoms in the unit cell with masses and M2 and the force constant of nearest M₁M₂, is kept constant. The velocity of M₂+ M₂ neighbor interaction is F and the effective mass, = sound will be: A) B) C) NIP M₁ + M₁ 2√√2(M₁+M₁) M₁ + M₁ D)=√ 4 M₁M₂ PO -sin²

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QUESTION 24
For a diatomic linear chain, the phonon dispersion relation ® (k) has two branches corresponding to +
and-sign respectively:
4
(M₂ + M₂) ± s [(m₂ + M₂) ² - x^²µm²
sin²
M₁M₂
There are two atoms in the unit cell with masses and M2 and the force constant of nearest
is kept constant. The velocity of
neighbor interaction is F and the effective mass, =
sound will be:
A)
B)
NIP
C) a
D)
M₁ + M₁
2(M₁+M₁)
M₁ + M₁
w (k) = f
M₁
M₁M₂
M₂+M₂
1/2
qa
Transcribed Image Text:QUESTION 24 For a diatomic linear chain, the phonon dispersion relation ® (k) has two branches corresponding to + and-sign respectively: 4 (M₂ + M₂) ± s [(m₂ + M₂) ² - x^²µm² sin² M₁M₂ There are two atoms in the unit cell with masses and M2 and the force constant of nearest is kept constant. The velocity of neighbor interaction is F and the effective mass, = sound will be: A) B) NIP C) a D) M₁ + M₁ 2(M₁+M₁) M₁ + M₁ w (k) = f M₁ M₁M₂ M₂+M₂ 1/2 qa
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