Aluminium has longitudinal and transverse sound speeds and

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

Aluminium has longitudinal and transverse sound speeds vL=6420 m s−1v_L = 6420\ \mathrm{m\,s^{-1}} and vT=3040 m s−1v_T = 3040\ \mathrm{m\,s^{-1}}, density ρ=2700 kg m−3\rho = 2700\ \mathrm{kg\,m^{-3}} and molar mass M=26.98 g mol−1M = 26.98\ \mathrm{g\,mol^{-1}}. Predict aluminium's Debye temperature, and compare it with the standard tabulated value, 428 K428\ \mathrm{K}.

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