Correction term can be added in linear molecule case

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Correction term can be added. In linear molecule case energy expression becomes ̃ F J = ̃ BJ ( J + 1 ) - ̃ DJ 2 ( J + 1 ) 2 ̃ D is centrifugal distortion constant ̃ D = 4 ̃ B 3 ̃𝜈 2 ̃𝜈 is vibrational frequency of bond in wave numbers. Vibrational frequency is directly related to bond force constant. In diatomic case ̃𝜈 = ? 0 2 𝜋 c 0 where ? 0 = 𝜅 f 𝜇 Bonds w/stronger force constants have less centrifugal distortion P. J. Grandinetti (Chem. 4300) Quantum Rigid Rotor Nov 3, 2017 24 / 25
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Centrifugal Distortion Constants ̃ D = 4 ̃ B 3 ̃𝜈 2 and ̃𝜈 = 𝜅 f 𝜇 2 𝜋 c 0 Molecule ̃ B /cm - 1 ̃ D / 10 - 6 cm - 1 H 2 60.853 47100 D 2 30.444 11410 HF 20.953712 2150 HCl 10.5933002 531 . 94 HBr 8.46488 345 . 8 HI 6.4263650 206 . 9 I 2 0.03737 0 . 0043 N 2 1.998236 5 . 737 CO 1.931280985 6 . 1216 O 2 1.446 4 . 839 P. J. Grandinetti (Chem. 4300) Quantum Rigid Rotor Nov 3, 2017 25 / 25
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