Black Body Radiation: Classical Mechanics Can't Explain It

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SUMMARY

Classical mechanics fails to explain black body radiation due to the Rayleigh-Jeans spectral distribution, which predicts an infinite energy output as the wavelength approaches zero. This contradicts experimental data, which shows that energy should decrease instead. The resolution lies in the introduction of quantized energy levels for harmonic oscillators, leading to the development of Planck's constant. This fundamental shift marked a significant advancement in the understanding of thermal radiation.

PREREQUISITES
  • Understanding of Rayleigh-Jeans spectral distribution
  • Familiarity with harmonic oscillators in physics
  • Knowledge of Planck's constant and its significance
  • Basic concepts of black body radiation
NEXT STEPS
  • Research the derivation of the Rayleigh-Jeans law
  • Study the implications of quantization in quantum mechanics
  • Explore the historical context of Planck's contributions to physics
  • Learn about the experimental evidence supporting black body radiation theories
USEFUL FOR

Physicists, students of quantum mechanics, and anyone interested in the historical development of thermodynamics and radiation theory.

ohhhnooo
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why can't classcial mechanic explain black body radiation?
 
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ohhhnooo said:
why can't classcial mechanic explain black body radiation?

Because if you calculate the number of possible configurations as a function of the emitted wavelength and the temperature (the socalled Rayleigh-Jeans spectral distribution) you can use this quantity to calculate the emitted energy by integrating over the wavelengths. Now, (and here is the problem) if you calculate this energy and you insert very low values for lambda (ie if the wavelength evolves toward 0) you will get an infinetely large energy-value. This is NOT in correspondence with experimental data, because if lambda goes to ZERO, this energy should LOWER instead of rising. The solution was that the involved harmonic oscillators had to have discrete energy values in stead of any finite arbitrary value (as in classical physics).

regards
marlon

ps : this is how the constant of Planck was born
 

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