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Number of modes for a 2d crystal

by kuecken
Tags: crystal, modes, number
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Apr4-14, 06:54 AM
P: 16
Hi, I have problems with the following:

Number of modes for a 2d crystal with one atom per primittive unit cell.

1. Number of discrete vibrational modes?
Should there be 2N of them? That is what I come up with if I think of one transverse and one longitudinal mode for each k. But I am unsure.

2. So am I able to obtain two branches from this crystal?
Both of them are acoustical?

Thank you :D
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Apr5-14, 01:56 PM
Sci Advisor
P: 3,630
Yes, both conclusions seem to be correct to me.

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