Condon approximation

E147782

The Condon approximation is a simplifying assumption in molecular spectroscopy that treats electronic transition dipole moments as independent of nuclear coordinates, enabling easier calculation of vibronic transition intensities.

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Label Occurrences
Condon approximation canonical 2

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Statements (46)

Predicate Object
instanceOf approximation in molecular spectroscopy
theoretical model in quantum chemistry
appliesTo electronic transitions in molecules
vibronic transitions
assumes electronic transition dipole moment is independent of nuclear coordinates
transition dipole moment varies slowly with nuclear geometry
basedOn Born–Oppenheimer approximation
category quantum mechanical approximation
spectroscopic approximation
concerns electronic transition moment operator
nuclear vibrational wavefunctions
contrastedWith Herzberg–Teller approximation
surface form: Herzberg–Teller expansion of transition moment

non-Condon effects
field molecular physics
molecular spectroscopy
quantum chemistry
goal provide tractable expressions for spectral intensities
simplify calculation of transition probabilities
hasConsequence electronic transition moment treated as a constant prefactor in intensity expressions
intensity distribution determined mainly by overlap of vibrational wavefunctions
historicalContext introduced in early quantum theory of molecular spectra
implies separation of electronic and nuclear contributions to transition intensity
transition intensity proportional to Franck–Condon factor
involves Born–Oppenheimer approximation
surface form: Born–Oppenheimer separation of variables

factorization of electronic and vibrational integrals
limitations fails when vibronic coupling is strong
inaccurate for symmetry-forbidden or weakly allowed transitions
inadequate when electronic and nuclear motions are strongly mixed
mathematicalForm transition dipole moment treated as constant with respect to nuclear coordinates
namedAfter Edward Condon
surface form: Edward U. Condon
relatedTo Franck–Condon principle
Herzberg–Teller approximation
transition dipole moment
vibronic coupling
typicalApplication diatomic molecular electronic spectra
polyatomic molecular UV–vis spectra
usedFor analysis of absorption spectra
analysis of emission spectra
analysis of fluorescence spectra
analysis of phosphorescence spectra
calculation of vibronic transition intensities
simplifying evaluation of Franck–Condon factors
usedIn computational spectroscopy
interpretation of band shapes in molecular spectra
theoretical modeling of electronic spectra
validWhen transition dipole moment does not change significantly over nuclear configuration space of interest

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Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

Herzberg–Teller approximation contrastsWith Condon approximation
Edward Condon knownFor Condon approximation