According to the IR absoprtion spectrum of carbon monoxide, CO, the vibrational frequency is 2170 cm-1. If we consider that the CO molecule behaves as a harmonic oscillator, predict the vibrational frequency if the molecule contains the isotope 13C instead of the more abundant 12C?
v:13CO/ v:12CO = (μ:13CO/μ:12CO)1/2
where v = vibrational frequency
μ = reduced mass.
m 12C = 12.0 and m 13C = 13.0, m 16O = 16.0.
Vibrational frequency ;