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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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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?
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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