(a) ignoring the centrifugal and anharmonicity terms, define the change in energy of a rotovibrational transition from (, j) to (’, j’) using the quantum harmonic oscillator and rigid rotor models for these simultaneous transitions, as discussed in lecture. then evaluate the energy change for the transition from (=1, j=11) to (’=0, j’=12) and simplify your answer as much as possible. [6] use only the model of rotovibration

(b) now calculate the actual e for this transition in both joules and ev given that the vibrational and rotational frequencies are, in wavenumbers, ṽ = 2143.3 cm-1 and b = 1.931 cm-1.

4. complete #4(a) and #4(b), as specified above but also including the effects of both centrifugal distortion and anharmonicity in your solutions, given that the anharmonicity and centrifugal constants are 0.0174 and 6.0 x 10-6 cm-1.