ABC26PH0323 · Atomic Structure

Subject: Physical Chemistry · Chapter: Atomic Structure · Topic: Atomic Structure – General · Exam: GATE 2005-2021 · Marks: 2 · Difficulty: Medium

At temperature T , the canonical partition function of a harmonic oscillator with fundamental frequency ( v ) is given by
\[ \mathrm{q}_{\mathrm{vib}}(\mathrm{T}) \frac{\mathrm{e}^{-\mathrm{hv} / 2 \mathrm{k}_{\mathrm{B}} \mathrm{T}}}{1-\mathrm{e}^{-\mathrm{hv} / \mathrm{k}_{\mathrm{B}} \mathrm{T}}} \]
For $\frac{\mathrm{hv}}{\mathrm{k}_{\mathrm{B}} \mathrm{T}}=3$, the probability of finding the harmonic oscillation in its ground vibrational state is ____ (Upto two decimal places)
Answer
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Explanation
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