How to convert cm^-1 into erg or joules

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SUMMARY

The discussion clarifies that cm-1 is not a unit of energy but rather a unit of wavenumber, which relates to the energy of photons. The conversion to energy units such as ergs or joules involves understanding the energy of a photon with a specific wavelength. For instance, a photon with a wavelength of 1 cm corresponds to an energy of approximately 1.99 x 10-23 Joules, derived from the formula 100 h c. The context of this conversion is particularly relevant in chemistry, especially in problems related to crystal fields.

PREREQUISITES
  • Understanding of photon energy and wavelength relationships
  • Familiarity with units of energy (ergs and joules)
  • Basic knowledge of wavenumbers and their significance in spectroscopy
  • Concepts related to crystal field theory in chemistry
NEXT STEPS
  • Research the relationship between wavelength and energy using the formula E = h c / λ
  • Explore the concept of wavenumbers in spectroscopy and their applications
  • Study crystal field theory and its implications in coordination chemistry
  • Learn about the conversion factors between different energy units, including ergs and joules
USEFUL FOR

Chemistry students, physicists, and anyone involved in spectroscopy or studying crystal field theory will benefit from this discussion.

AutisticAlien
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I'm not sure if this is the right place for this, but I can't seem to find how to convert cm^-1 into erg or joules... It's a pretty dumb question, but I can't find the answer anywhere.

Thanks a lot in advance!
 
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You cant, because cm^(-1) is not a unit of energy. The base units of energy are m l t^(-2). For example Ergs are grams cm seconds^(-2) and Joules are kg m seconds^(-2).
 


The only meaning that I can think of for that is perhaps comparing the energy to that of a photon of wavelength one cm.

For example, a photon of wavelength 1mm would have an energy of 10 cm^(-1) and so on.

In that case the conversion factor would just be the energy of a photon wavelength 1cm, which is 100 h c, or about 1.99 x 10^(-23) Joules.

In what context did you see this unit used Alien?
 


Failed to mention context, sorry. But yes, it was the way you predicted. Thank you very much!

It was a Chemistry problem about crystal fields.
 

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