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Physical Sciences & Mathematics

What causes variations in the thermal conductivity of a crystalline solid when comparing different crystallographic directions?

A)Variations in isotopic composition exist
B)Electrons have anisotropic scattering rates
C)Umklapp scattering strongly redirects heat
D)Phonon group velocities are anisotropic

💡 Explanation

The thermal conductivity varies directionally because phonon transport is dictated by the phonon group velocity, a property dependent on crystal structure. Therefore, thermal conductivity differs, rather than owing to electron scattering or isotopic variations, because the lattice structure causes anisotropic phonon dispersion.

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