9. An atom in a solid has two energy levels: a ground state of degeneracy gi and an excited state of degeneracy g2 with an energy A above the ground state. (a) Show that the partition function for the atom, Zatom, is Zatom = 91 + g2e¬BA (b) Show that the heat capacity of the atom is given by C = 9192A²e¬BA kgT² (g1 + g2e-BA)² (c) Show that a monatomic gas of these atoms has a partition function of Z = ZatomZN Where only translational motion of the gaseous atoms is considered so that ZN =
9. An atom in a solid has two energy levels: a ground state of degeneracy gi and an excited state of degeneracy g2 with an energy A above the ground state. (a) Show that the partition function for the atom, Zatom, is Zatom = 91 + g2e¬BA (b) Show that the heat capacity of the atom is given by C = 9192A²e¬BA kgT² (g1 + g2e-BA)² (c) Show that a monatomic gas of these atoms has a partition function of Z = ZatomZN Where only translational motion of the gaseous atoms is considered so that ZN =
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Transcribed Image Text:9. An atom in a solid has two energy levels: a ground state of degeneracy gi and an excited state of degeneracy g2
with an energy A above the ground state.
(a) Show that the partition function for the atom, Zatom; is
Zatom = 91 + »e¬ßA
(b) Show that the heat capacity of the atom is given by
9192A²e¬BA
kgT² (g1 + g2e-BA)²
(c) Show that a monatomic gas of these atoms has a partition function of
Z = ZatomZN
Where only translational motion of the gaseous atoms is considered so that
N
V
ZN =
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