QHO partition function: Z = 1/(2 sinh(β ℏω/2)) per normal mode

Layer 2 — Chemistryin the statistical-mechanics-chemistry subtree

Framework for vibrational thermodynamics: the quantum harmonic oscillator (QHO) partition function Z_{QHO} = 1 / (2 sinh(β ℏω / 2)) per normal mode is the workhorse of molecular thermochemistry, underwriting Einstein / Debye solid heat…

Related concepts

Partition function
Quantum harmonic oscillator
Canonical ensemble
QHO Z = 1/(2 sinh(βℏω/2)) ≡ exp/geom form; βℏω=log 4 ⇒ Z = 2/3

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