The vibrational partition function for a molecule with fundamental frequency ν is given by · ABC26PH0543
Subject: Physical Chemistry · Chapter: Statistical Thermodynamics · Topic: Statistical Thermodynamics – General · Exam: GATE 2005-2021 · Marks: 2 · Difficulty: Medium
The vibrational partition function for a molecule with fundamental frequency $\nu$ is given by
(a)$\exp\left(-\frac{\hbar\nu}{k_{\mathrm B}T}\right)$
(b)$\left[1-\exp\left(-\frac{\hbar\nu}{k_{\mathrm B}T}\right)\right]^{-1}$
(c)$\exp\left(-\frac{\hbar\nu}{k_{\mathrm B}T}\right)\left[1-\exp-\left(\frac{\hbar\nu}{k_{\mathrm B}T}\right)\right]^{-1}$
(d)$\exp\left(-\frac{\hbar\nu}{2k_{\mathrm B}T}\right)\left[1-\exp-\left(\frac{\hbar\nu}{k_{\mathrm B}T}\right)\right]^{-1}$
Answer
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