1. A three-dimensional square lattice with sides of length L consists of atoms whose motion is described by longitudinal
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1. A three-dimensional square lattice with sides of length L consists of atoms whose motion is described by longitudinal
1. A three-dimensional square lattice with sides of length L consists of atoms whose motion is described by longitudinal sound waves. Show that the phonon heat capacity in the Debye approximation is proportional to T3 in the low temperature limit, where T is the temperature. The following standard integral is needed: [10] 7:³ 1. dx = 3! ((4) 6.494 ex 1
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