Question

The maximum frequency of wave that can the propagate the speed through the one dimensional lattice constant is

Answer 1

Explanation:

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Answer 2

Answer:

The maximum frequency of wave is $\sqrt{4C/M$.

Explanation:

One dimensional lattice:

• To make things easier, we'll start by thinking about a one-dimensional crystal lattice and assuming that the forces between its atoms are proportional to their relative displacements from their equilibrium locations.
• The highest possible frequency is $\sqrt{4C/M$

where C is the interatomic force constant.

           M is the mass of the atom.

• In terms of the significant change in q, the frequency is symmetric, or (q)= (-q).
• The fact that a mode with a positive q corresponds to a wave going through the lattice from left to right and a mode with a negative q relates to a wave traveling from right to left does not surprise us.
• The frequency does not change with the sign change in q since these two directions are equivalent in the lattice.

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