All Problems

Molecules and Crystals

Problem 6.179

Find the natural vibration frequency and the quasielastic force coefficient of an \(\mathrm{S}_{2}\) molecule if the wavelengths of the red and violet satellites, closest to the fixed line, in the vibration spectrum of Raman scattering are equal to 346.6 and \(330.0 \mathrm{nm}\).

Reveal Answer
ω=πc(λrλv)/λrλv=1.371014rad/s,x=4.96 N/cm\omega=\pi c\left(\lambda_{r}-\lambda_{v}\right) / \lambda_{r} \lambda_{v}=1.37 \cdot 10^{14} \mathrm{rad} / \mathrm{s}, x=4.96 \mathrm{~N} / \mathrm{cm}