Q105 · CSIR-NET Chemistry, December 2016

Paper: CSIR-NET December 2016 · Subject: Physical Chemistry · Chapter: Statistical Thermodynamics · Topic: Partition Functions · Marks: 2 · Difficulty: Medium

Partition function of a one - dimensional oscillator having equispaced energy level with energy spacing equal to $\mathrm{k}_{\mathrm{b}} \mathrm{T}$ and zero ground energy is
(a)e
(b)$1 /(\mathrm{e}-1)$
(c)$\mathrm{e} /(\mathrm{e}-1)$
(d)$1 /(\mathrm{e}+1)$
Answer
Answer: C ✓ checked by 4AB · confidence high
Explanation
q = Σ e^{−n} = 1/(1 − e⁻¹) = e/(e − 1).

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