Lead's highest-frequency lattice modes have a step (Section 6.3)

PHYSICS · Subjective · Fermi University Physics · Condensed Matter, Materials & Soft Matter · Lattice dynamics and thermal properties of solids · Lattice dynamics and thermal properties of solids

Condensed Matter Physics, Ch Einstein, Debye and the heat capacity of solids

Problem

Lead's highest-frequency lattice modes have a step ℏω=9 meV\hbar\omega = 9\ \mathrm{meV} (Section 6.3). Find the average thermal energy such a mode holds, above its zero-point energy, at liquid-nitrogen temperature, 77 K77\ \mathrm{K}.

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