Planck's Radiation Formula: Wavelength & How to Calculate

  • Context: Graduate 
  • Thread starter Thread starter CollectiveRocker
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Discussion Overview

The discussion centers on expressing Planck's radiation formula in terms of wavelength. Participants explore the necessary substitutions and transformations to achieve this expression, focusing on the relationship between energy, frequency, and wavelength.

Discussion Character

  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant asks how to express the Planck radiation formula in terms of wavelength.
  • Another participant suggests making the substitution \hbar \omega = \frac{\hbar c}{\lambda} as a potential approach.
  • A third participant seeks clarification on what the expression looks like after the substitution.
  • A fourth participant prompts for the current expression in terms of energy, indicating that E = \hbar \omega = \frac{\hbar c}{\lambda} and encourages proceeding from that point.

Areas of Agreement / Disagreement

The discussion remains unresolved, with participants exploring different aspects of the substitution process without reaching a consensus.

CollectiveRocker
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Express the Planck radiation formula in terms of wavelength. How is this to be accomplished?
 
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how about making the substution [tex]\hbar \omega = \frac{\hbar c}{\lambda}[/tex]?
 
Into what?
 
WHat is the expression that you have so far, if it is in terms of energy, [tex]E = \hbar \omega = \frac{\hbar c}{\lambda}[/tex], make the substitution and go from there.
 

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