All Problems

Molecules and Crystals

Problem 6.172

Evaluate how many lines there are in a true rotational spectrum of CO molecules whose natural vibration frequency is \(\omega=4.09 \cdot 10^{14} \mathrm{~s}^{-1}\) and moment of inertia \(I=1.44 \cdot 10^{-39} \mathrm{~g} \cdot \mathrm{cm}^{2}\).

Reveal Answer
N2Iω/=33 lines. N \approx \sqrt{2 I \omega / \hbar}=33 \text { lines. }