Answer to Question #192649 in Physical Chemistry for Alex Faji

Question

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.

Answer 1

Vibrational frequency ;

=2170cm-7