Derive the Dispersion relationship for a one- dimensional diatomic crystal and discuss the nature of acoustic and optical modes. Show that the group velocity vanishes at the zone boundary. Give the physical interpretation of the result. (a)

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(a)
Derive the Dispersion relationship for a one- dimensional diatomic crystal and discuss the
nature of acoustic and optical modes. Show that the group velocity vanishes at the zone
boundary. Give the physical interpretation of the result.
Transcribed Image Text:(a) Derive the Dispersion relationship for a one- dimensional diatomic crystal and discuss the nature of acoustic and optical modes. Show that the group velocity vanishes at the zone boundary. Give the physical interpretation of the result.
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