In the infrared spectrum of sulfur monoxide, SO, the transition corresponding to vibrational excitation of the bond in the most common isotopomer, ³²S¹⁶O, is observed at a wavenumber of 1138 cm^-1. Estimate the force constant of the bond.

Question

Quizplus · Accepted Answer

The force constant (k) can be estimated using the formula for the vibrational frequency: ν = (1/2πc) * sqrt(k/μ), where ν is the wavenumber, c is the speed of light, and μ is the reduced mass. Solving for k using the given wavenumber and the reduced mass of ³²S¹⁶O gives approximately 766 N m^-1.

In the Infrared Spectrum of Sulfur Monoxide, SO, the Transition