Frank Condon factors in molecules

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SUMMARY

The discussion centers on the definition and application of Frank Condon factors in molecular physics, particularly in the context of laser cooling. Participants clarify that Frank Condon factors are indeed vibrational overlap integrals, but emphasize the importance of distinguishing between the integral itself and its square, as this distinction significantly affects calculations. The square of the integral is commonly used in Fermi's golden rule, which is a critical aspect of quantum mechanics. Examples from relevant literature highlight the conventional use of the squared factor in practical applications.

PREREQUISITES
  • Understanding of vibrational overlap integrals
  • Familiarity with Fermi's golden rule
  • Basic knowledge of molecular physics
  • Concepts of laser cooling techniques
NEXT STEPS
  • Research the mathematical formulation of vibrational overlap integrals
  • Study the application of Fermi's golden rule in quantum mechanics
  • Explore literature on laser cooling methods and their dependence on Frank Condon factors
  • Investigate the role of Frank Condon factors in spectroscopy and molecular transitions
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Physicists, chemists, and researchers involved in molecular physics, particularly those focusing on laser cooling and quantum mechanics applications.

kelly0303
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Hello! I am reading about laser cooling, and I see people talking about the Frank Condon factors. It seems to be just a vibrational overlap integral, but I found different definitions in terms of whether is just the integral or its square (the difference is huge, so it should matter). What is the convention in the molecular physics field?
 
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Can you give examples from the literature you’re reading? I’ve only ever seen the square, because that’s what ends up in the Fermi golden rule calculation.
 

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