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The dispersion relation for one dimensional lattice vibrations of chain of identical mass m, in wiOach mass is connected to first and second nearest neighbors by coupling constants C. and Cis me =C,a-cos(nka)). For ka <<1, the speed of sound in this limit has form 4C, +C, 2ka C+2C, ka m 2C, +C ka C+4C, ka

The dispersion relation for one dimensional lattice vibrations of chain of identical mass m, in wiOach mass is connected to first and second nearest neighbors by coupling constants C. and Cis me =C,a-cos(nka)). For ka <<1, the speed of sound in this limit has form 4C, +C, 2ka C+2C, ka m 2C, +C ka C+4C, ka

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The dispersion relation for one dimensional lattice vibrations of chain of identical mass m, in whach mass is connected to first and second nearest neighbors by coupling constants C: and C;is mo =c.a-cos(nka). For ka <«1, the speed of sound in this limit has form 4C, +C 2ka m C+2C, 2ka m 2C+C ka m C+4C, ka
Transcribed Image Text:The dispersion relation for one dimensional lattice vibrations of chain of identical mass m, in whach mass is connected to first and second nearest neighbors by coupling constants C: and C;is mo =c.a-cos(nka). For ka <«1, the speed of sound in this limit has form 4C, +C 2ka m C+2C, 2ka m 2C+C ka m C+4C, ka
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