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3 of 6
Question A4
The diagram below shows the dispersion curve for a one-dimensional chain of identical atoms
with harmonic forces between nearest neighbours.
2
M
-4
-2
0
2
4
k/Å¯¹
a) Calculate the unit cell parameter of this chain.
b) Estimate the speed of sound in this chain.
c) Estimate the harmonic spring constant between nearest neighbours, given that the mass of
each atom is m = 2 × 10-26 kg.

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