able 1. Microwave Absorption Lines for Several Rotational Transitions of the CO Molecule. Rotational Transition Wavelength of Absorbed Line (m) Frequency of Absorption Line (Hz) l = 0 -> l = 1 2.60·10-3 1.15·1011 l = 1 -> l = 2 1.30·10-3 2.30·1011 l = 2 -> l = 3 8.77·10-4 3.46·1011 l = 3 -> l = 4 6.50·10-4 4.61·1011

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter20: Molecular Spectroscopy And Photochemistry
Section: Chapter Questions
Problem 51AP
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The CO molecule undergoes a rotational transition from the l=1 level to the l=2 level. Using the Table 1, calculate:

a. the reduced mass of the molecule,

b. the bond length of the molecule.

 

Table 1. Microwave Absorption Lines for Several Rotational Transitions of the CO Molecule.

Rotational Transition

Wavelength of Absorbed Line (m)

Frequency of Absorption Line (Hz)

l = 0 -> l = 1

2.60·10-3

1.15·1011

l = 1  -> l = 2

1.30·10-3

2.30·1011

l = 2 ->  l = 3

8.77·10-4

3.46·1011

l = 3 ->  l = 4

6.50·10-4

4.61·1011

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