Discussion
The selection rule for vibrational Raman spectra is :
Answer: B
The keyed selection rule is Δv = 0, ±1, ±2, ...
For a harmonic oscillator the vibrational Raman selection rule is Δv = ±1, and in a real, anharmonic molecule weak overtones with Δv = ±2, ±3 also appear. Textbooks such as Banwell write the rule for vibrational Raman spectra as Δv = 0, ±1, ±2, ..., where Δv = 0 is the Rayleigh (and pure rotational) scattering at the exciting line, and the key follows that form.
Options (A) and (C) are printed identically and omit Δv = 0. Δv = ±2 alone is the rotational Raman rule (ΔJ = ±2) misapplied to vibration.
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