Vibrational Spectra of Diatomic Molecules

The lowest vibrational transitions of diatomic molecules approximate the quantum harmonic oscillator and can be used to imply the bond force constants for small oscillations.

The following is a sampling of transition frequencies from the n=0 to n=1 vibrational level for diatomic molecules and the calculated force constants.

MoleculeFrequency
x1013 Hz
Force constant
N/m
HF8.72970
HCl8.66480
HBr7.68410
HI6.69320
CO6.421860
NO5.631530

Vibration-rotation spectrum of HCl HBr
Index

Schrodinger equation concepts

Molecular spectra concepts

References
Thornton & Rex
Sec 11-1
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