An atom in a solid has two energy levels: a ground state of degeneracy g and...

 

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An atom in a solid has two energy levels: a ground state of degeneracy g₁ and an excited state of de- generacy 92 at an energy A above the ground state. Show that the partition function Zatom is Zatom = 91 +92e-³4 (21.46) Show that the heat capacity of the atom is given by 91924²e-34 C= (21.47) k³T²(9₁ +9₂e-³4)²° A monatomic gas of such atoms has a partition function given by Z = Zatom ZN, (21.48) where ZN is the partition function due to the translational motion of the gas atoms and is given by ZN = (1/N!) [V/AN. Show that the heat ca- pacity of such as gas is C = N [ ³² kB + 91924²e-34 KBT²(91 +9₂e-³4)² 4²]. (21.49) An atom in a solid has two energy levels: a ground state of degeneracy g₁ and an excited state of de- generacy 92 at an energy A above the ground state. Show that the partition function Zatom is Zatom = 91 +92e-³4 (21.46) Show that the heat capacity of the atom is given by 91924²e-34 C= (21.47) k³T²(9₁ +9₂e-³4)²° A monatomic gas of such atoms has a partition function given by Z = Zatom ZN, (21.48) where ZN is the partition function due to the translational motion of the gas atoms and is given by ZN = (1/N!) [V/AN. Show that the heat ca- pacity of such as gas is C = N [ ³² kB + 91924²e-34 KBT²(91 +9₂e-³4)² 4²]. (21.49)

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