1. To a good approximation, for ¹60¹80 in its ground vibrational state, the rotational energy levels are given in this table: J 0 1 2 3 4 E in Joules 0 5.3727-10-23 9 10 1.6081 10-2 . 3.216210-22 5.3612-10-22 8.0422-10-22 1.1267-10-21 5 6 7 1.5023 10-21 8 1.9317-10-21 2.4145-10-21 2.9507-10-21 The energy levels of a rigid rotor are given by E₁ = JU + 1) // where I is the moment of inertia of the molecule. a) Use the value of E, for J = 1 to deduce the value of b) Then use the value of that you have obtained in part a) to predict the energies of t levels with J = 2 through 10. c) Do you see any evidence for the breakdown of the rigid rotor approximation when y compare your results from part b) with the tabulated values?
1. To a good approximation, for ¹60¹80 in its ground vibrational state, the rotational energy levels are given in this table: J 0 1 2 3 4 E in Joules 0 5.3727-10-23 9 10 1.6081 10-2 . 3.216210-22 5.3612-10-22 8.0422-10-22 1.1267-10-21 5 6 7 1.5023 10-21 8 1.9317-10-21 2.4145-10-21 2.9507-10-21 The energy levels of a rigid rotor are given by E₁ = JU + 1) // where I is the moment of inertia of the molecule. a) Use the value of E, for J = 1 to deduce the value of b) Then use the value of that you have obtained in part a) to predict the energies of t levels with J = 2 through 10. c) Do you see any evidence for the breakdown of the rigid rotor approximation when y compare your results from part b) with the tabulated values?
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Transcribed Image Text:1. To a good approximation, for ¹60¹80 in its ground vibrational state, the rotational energy
levels are given in this table:
J
0
1
2
3
4
5
6
7
8
9
10
E in Joules
0
5.3727-10-23
1.6081-10-22
3.216210-22
5.3612-10-22
8.0422-10-22
1.1267-10-21
1.5023-10-21
1.9317-10-21
2.414510-21
2.9507-10-21
The energy levels of a rigid rotor are given by
E₁ = J( + 1) //
21
where I is the moment of inertia of the molecule.
a) Use the value of E, for J = 1 to deduce the value of 21
4²
b) Then use the value of that you have obtained in part a) to predict the energies of the
levels with J = 2 through 10.
c) Do you see any evidence for the breakdown of the rigid rotor approximation when you
compare your results from part b) with the tabulated values?
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