513.001 Molecular and Solid State Physics

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Physical
Constants

Periodic System
of Elements

      

Phonons in a 1-d chain

The speed of sound in a certain linear monatomic chain is 1.08 × 104 m/s. If the mass of each atom is 6.81 × 10-26 kg and the atomic separation at equilibrium is 0.485 nm, find

a) the effective spring constant

b) the maximum normal mode angular frequency.