Statistical Mechanics · Problem 6.25

Ideal Bose Systems — R. K. Pathria

Physics — Statistical Mechanics · o2-excited-electronic-state-contribution

Problem

Calculate the contribution of the first excited electronic state, viz. 1Δ{}^1\Delta with ge=2g_e = 2, of the O2_2 molecule towards the Helmholtz free energy and the specific heat of oxygen gas at a temperature of 5000 K; the separation of this state from the ground state, viz. 3Σ{}^3\Sigma with ge=3g_e = 3, is 7824 cm−1^{-1}. How would these results be affected if the parameters Θr\Theta_r and Θv\Theta_v of the O2_2 molecule had different values in the two electronic states?

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