98 K? P33.6 Consider an ensemble of units in which the first excited electronic state at energy ε, is m₁-fold degenerate, and the energy of the ground state is m -fold degenerate with energy ε0. a. Demonstrate that if ε = 0, the expression for the electronic partition function is m 9E=m 1+ e-ε₁/kT mo b. Determine the expression for the internal energy U of a ensemble of N such units. What is the limiting value of U as the temperature approaches zero and infinity?

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98 K?
P33.6 Consider an ensemble of units in which the first
excited electronic state at energy ε, is m₁-fold degenerate,
and the energy of the ground state is m -fold degenerate with
energy ε0.
a. Demonstrate that if ε = 0, the expression for the
electronic partition function is
m
9E=m 1+
e-ε₁/kT
mo
b. Determine the expression for the internal energy U of a
ensemble of N such units. What is the limiting value of U
as the temperature approaches zero and infinity?
Transcribed Image Text:98 K? P33.6 Consider an ensemble of units in which the first excited electronic state at energy ε, is m₁-fold degenerate, and the energy of the ground state is m -fold degenerate with energy ε0. a. Demonstrate that if ε = 0, the expression for the electronic partition function is m 9E=m 1+ e-ε₁/kT mo b. Determine the expression for the internal energy U of a ensemble of N such units. What is the limiting value of U as the temperature approaches zero and infinity?
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