A one- dimensional linear atomic chain contains two types of atoms of masses m1 and m2 (where m2 > m1), arranged alternately. The distance between successive atoms is the same. Assume that the harmonic approximation is valid. At the first Brillouin zone boundary, which statement is correct? (2 marks)

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A one- dimensional linear atomic chain contains two types of
atoms of masses m1 and m2 (where m2 > m1), arranged
alternately. The distance between successive atoms is the
same. Assume that the harmonic approximation is valid. At the
first Brillouin zone boundary, which statement is correct? (2
marks)
Select one:
O A. The atoms of mass m1 are at the rest in the optical mode, while they vibrate in the
acoustical mode
O B. Both types of atoms vibrate with equal amplitudes in the optical as well as acoustical
mode
O C. The atoms with mass m2 are at rest in the optical mode, while they vibrate in the
acoustical mode
D. Both types of atoms vibrate, but with unequal, non-zero amplitudes in the optical as
well as acoustical mode
Transcribed Image Text:A one- dimensional linear atomic chain contains two types of atoms of masses m1 and m2 (where m2 > m1), arranged alternately. The distance between successive atoms is the same. Assume that the harmonic approximation is valid. At the first Brillouin zone boundary, which statement is correct? (2 marks) Select one: O A. The atoms of mass m1 are at the rest in the optical mode, while they vibrate in the acoustical mode O B. Both types of atoms vibrate with equal amplitudes in the optical as well as acoustical mode O C. The atoms with mass m2 are at rest in the optical mode, while they vibrate in the acoustical mode D. Both types of atoms vibrate, but with unequal, non-zero amplitudes in the optical as well as acoustical mode
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