4. The infrared absorption spectrum of a diatomic molecule is shown in the figure. (a) Give the initial (J") and final (J') rotational quantum numbers corresponding to the peaks labeled A and B. (b) Estimate the vibrational frequency in wavenumbers (v) and the rotational constant in wavenumbers (B). (c) From the spacings of the peaks near 2700 cm and near 3050 cm', determine whether the average bond length increases or decreases with increasing vibrational quantum number. 20 18 A B 2500 2600 2700 2800 2900 3000 3100 3200 wavenumber absorption intensity

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4. The infrared absorption spectrum of a diatomic molecule is shown in the figure.
(a) Give the initial (J") and final (J') rotational quantum numbers corresponding to the peaks
labeled A and B.
(b) Estimate the vibrational frequency in wavenumbers (i) and the rotational constant in
wavenumbers (B).
(c) From the spacings of the peaks near 2700 cm and near 3050 cm, determine whether the
average bond length increases or decreases with increasing vibrational quantum number.
20
18
A
14
12
2500
2600
2700
2800
2900
3000
3100
3200
wavenumber
absorption intensity
Transcribed Image Text:4. The infrared absorption spectrum of a diatomic molecule is shown in the figure. (a) Give the initial (J") and final (J') rotational quantum numbers corresponding to the peaks labeled A and B. (b) Estimate the vibrational frequency in wavenumbers (i) and the rotational constant in wavenumbers (B). (c) From the spacings of the peaks near 2700 cm and near 3050 cm, determine whether the average bond length increases or decreases with increasing vibrational quantum number. 20 18 A 14 12 2500 2600 2700 2800 2900 3000 3100 3200 wavenumber absorption intensity
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