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T3 IT x U = 4N k " A) Show that the total energy of the phonons is given by temperature of this system and the total number of atoms in N solids. Obtain an expression for e -1 Here Tp is the Debye To.

T3 IT x U = 4N k " A) Show that the total energy of the phonons is given by temperature of this system and the total number of atoms in N solids. Obtain an expression for e -1 Here Tp is the Debye To.

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x² U = 4 N k " T T3 dx *-1". Here Tp is the Debye A) Show that the total energy of the phonons is given by temperature of this system and the total number of atoms in N solids. Obtain an expression for To.
Transcribed Image Text:x² U = 4 N k " T T3 dx *-1". Here Tp is the Debye A) Show that the total energy of the phonons is given by temperature of this system and the total number of atoms in N solids. Obtain an expression for To.
Consider phonons in a two-dimensional solid at temperature T. In the Debye approximation, the energy of the phonons is given by ɛ=pc. Where cs is the velocity of sound in the solid and p is the magnitude of the momentum vector (p =hn:/2L Where i = x, y are components). Phonons have two (2) polarizations.
Transcribed Image Text:Consider phonons in a two-dimensional solid at temperature T. In the Debye approximation, the energy of the phonons is given by ɛ=pc. Where cs is the velocity of sound in the solid and p is the magnitude of the momentum vector (p =hn:/2L Where i = x, y are components). Phonons have two (2) polarizations.
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