5. The rotation-vibration spectrum of CO and a table with some assignments are below.
a. In which branch do the peaks seem to be converging? What does that tell you about the bond length in the v=1 state compared to the v=0? Does this make sense in the limit of a harmonic oscillator?
b. Using the R(9) and P(11) transitions, use simultaneous equations to calculate the rotational constant in the v=0 state, and hence the bond length in v=0.
c. Using the R(9) and P(9) transitions, calculate the bond length in v=1 in the same manner.
CO
Table: Some experimental assignments of peaks in the CO spectrum
Label | Wavenumber | Label | Wavenumber
R(9) | 2179.761 | P(9) | 2107.413
R(10) | 2183.226 | P(10) | 2103.265
R(11) | 2186.636 | P(11) | 2099.096
R(12) | 2190.010 | P(12) | 2094.870
R(13) | 2193.357 | P(13) | 2090.603