Find the optical and acoustical branches of the dispersion relation for a diatomic linear lattice,

icon
Related questions
Question

Find the optical and acoustical branches of the dispersion relation for a diatomic linear lattice,

 

solids, physics 

Question 1:
Find the optical and acoustical branches of the dispersion
relation for a diatomic linear lattice,
Transcribed Image Text:Question 1: Find the optical and acoustical branches of the dispersion relation for a diatomic linear lattice,
Expert Solution
Introduction:

We study the vibrations in 1D a monoatomic and diatomic lattices and obtain the dispersion relation.

The dispersion relation of vibrations in 1D diatomic lattice is given by

ω±2=c1m1+1m2±c1m1+1m22-4sin2ka2m1m2

Here m1,m2 are the masses of 2 atoms.

In this , ω+ represents the optical branch.

ω- represents the acoustical branch.

 

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer