All Problems

Molecules and Crystals

Problem 6.177

In the middle of the rotation-vibration band of emission spectrum of HCl molecule, where the "zeroth" line is forbidden by the selection rules, the interval between neighbouring lines is Δω\Delta \omega =0.791013 s1.=0.79 \cdot 10^{13} \mathrm{~s}^{-1} . Calculate the distance between the nuclei of an HCl molecule.

Reveal Answer
d=2/μΔω=0.13nm, where μ is the reduced mass of the moleculed=\sqrt{2 \hbar / \mu \Delta \omega}=0.13 \mathrm{nm}, \text { where } \mu \text { is the reduced mass of the molecule}