Relate wavelength and energy scale

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SUMMARY

The forum discussion focuses on converting light intensity from a wavelength scale, represented by I(λ) = I₀λ³, to an energy scale, I(hν). Participants explore the relationship between intensity, wavelength, and energy, utilizing the equations for photon energy E = hν and E = hc/λ. The conversation emphasizes the importance of integrating intensity over a small wavelength range and approximating the integral for small δλ. Ultimately, the correct approach involves using the integral I = I₀∫(λ³)dλ to derive the energy scale.

PREREQUISITES
  • Understanding of photon energy equations: E = hν and E = hc/λ
  • Familiarity with integration techniques in calculus
  • Knowledge of light intensity measurement and monochromators
  • Basic concepts of wavelength and frequency relationships
NEXT STEPS
  • Study integration techniques for approximating definite integrals
  • Learn about the relationship between wavelength and frequency in electromagnetic waves
  • Explore the applications of monochromators in spectroscopy
  • Investigate the implications of Planck's law in energy distribution of photons
USEFUL FOR

Students and professionals in physics, particularly those studying optics, photonics, or spectroscopy, will benefit from this discussion. It is also relevant for anyone involved in experimental setups that require precise measurements of light intensity and energy conversion.

  • #31
##\delta \lambda## and ##\delta \nu## are different things, you cannot simply replace them.
 
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  • #32
of course.

λ = c/ν, ν=c/λ --> do I nead to integrate over this range this time? c/λ and c/λ + c/δλ
 
  • #33
senobim said:
c/λ and c/λ + c/δλ
a/(b+c) and a/b + a/c are not the same.
 
  • #34
c/λ and c/λ + δ(c/λ)?
 
  • #35
What does δ(c/λ) mean?
 
  • #36
some different freaquency from c/λ

or I need to define different freaquency just c/λ2

and the range will be c/λ and c/λ2
 
Last edited:

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