11. Absorption in the = 10 vibration-rotation spectrum of 1H35CI were observed at the wavenumbers (cm-1) below. i) Assign the rotational quantum numbers and [10] ii) Use the method of combination differences to determine the rotational constants of the two vibrational levels 2998.05 2981.05 2963.35 2944.99 2925.92 2906.25 2865.14 2843.63 2821.59 2799.00 12. The rotational terms of a symmetric top, allowing for centrifugal distortion, are commonly written F(J, K) = BJJ + 1) + (à − В)к² – Ď₁J² (J + 1)² − Ճ³(J + 1)K² - DKK4 The following transition frequencies were observed for CH3F. a) Develop an expression for the wavenumbers of the allowed rotational transitions. b) Determine the values of as many constants in the expression for the rotational terms as these values permit. [15] 51.0718 GHz 102.1426 GHz 102.1408 GHz 153.2103 GHz 153.2076 GHZ

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter15: Introduction To Electronic Spectroscopy And Structure
Section: Chapter Questions
Problem 15.69E
Question
11. Absorption in the = 10 vibration-rotation spectrum of 1H35CI were observed at the
wavenumbers (cm-1) below.
i) Assign the rotational quantum numbers and
[10]
ii) Use the method of combination differences to determine the rotational constants
of the two vibrational levels
2998.05
2981.05
2963.35 2944.99
2925.92
2906.25
2865.14
2843.63
2821.59
2799.00
12. The rotational terms of a symmetric top, allowing for centrifugal distortion, are commonly
written
F(J, K) = BJJ + 1) + (à − В)к² – Ď₁J² (J + 1)² − Ճ³(J + 1)K² - DKK4
The following transition frequencies were observed for CH3F.
a) Develop an expression for the wavenumbers of the allowed rotational transitions.
b) Determine the values of as many constants in the expression for the rotational terms
as these values permit.
[15]
51.0718 GHz
102.1426 GHz 102.1408 GHz 153.2103 GHz 153.2076 GHZ
Transcribed Image Text:11. Absorption in the = 10 vibration-rotation spectrum of 1H35CI were observed at the wavenumbers (cm-1) below. i) Assign the rotational quantum numbers and [10] ii) Use the method of combination differences to determine the rotational constants of the two vibrational levels 2998.05 2981.05 2963.35 2944.99 2925.92 2906.25 2865.14 2843.63 2821.59 2799.00 12. The rotational terms of a symmetric top, allowing for centrifugal distortion, are commonly written F(J, K) = BJJ + 1) + (à − В)к² – Ď₁J² (J + 1)² − Ճ³(J + 1)K² - DKK4 The following transition frequencies were observed for CH3F. a) Develop an expression for the wavenumbers of the allowed rotational transitions. b) Determine the values of as many constants in the expression for the rotational terms as these values permit. [15] 51.0718 GHz 102.1426 GHz 102.1408 GHz 153.2103 GHz 153.2076 GHZ
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