he rigid rotor approximation

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3 Rotational Spectroscopy
(A)
The spacing between the lines in the microwave spectrum of H35 Cl is 6.350 x 1011
Hz. Calculate the bond length of H35 Cl.
(B)
When we discussed the selection rules for the harmonic oscillator, we computed
the magnitude of a transition between states n and n' via the expression < n|fz|n' >. Using
z = cos(0), show that the rotational transition from J=0 → J = 1 is allowed, but J = 0→J=2
is forbidden within the rigid rotor approximation approximation for any value of m. Hint: Integrate
> first; you may discover that you don't actually have to solve every integral.
Transcribed Image Text:3 Rotational Spectroscopy (A) The spacing between the lines in the microwave spectrum of H35 Cl is 6.350 x 1011 Hz. Calculate the bond length of H35 Cl. (B) When we discussed the selection rules for the harmonic oscillator, we computed the magnitude of a transition between states n and n' via the expression < n|fz|n' >. Using z = cos(0), show that the rotational transition from J=0 → J = 1 is allowed, but J = 0→J=2 is forbidden within the rigid rotor approximation approximation for any value of m. Hint: Integrate > first; you may discover that you don't actually have to solve every integral.
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