The microwave spectrum of ? 127? consists of a series of lines separated by 12.8 ??−1....

The microwave spectrum of ? 127? consists of a series of lines separated by 12.8 ??−1.
1. Calculate the rotational constant ? ̃
in ??−1
2. Approximate the bond length of this molecule.
3. Recall in PS36 that you calculated the fundamental wavenumber for this molecule for
vibrational transitions under the harmonic oscillator approximation. Using this as your
starting point and assuming Δ? = +1, do the following.
i. Calculate the values for the 1st 3 lines of both the P-branch and R-branch for the
ro-vibrational spectra.
ii. Draw a partial gas phase spectrum of how this set of 6 lines would appear and
label each line by the rotational transition (0 → 1, 1 → 2, ???. . )
iii. Draw an energy diagram showing all 6 transitions. Draw and label at least one
forbidden transition according to the selection rules.

Expert Solution

(iii)

genius_generous answered 2 years ago

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