Understanding Atom Orbits: Calculating Lost Energy

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    Atom Energy Orbits
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SUMMARY

The discussion centers on the classical understanding of electron orbits around the nucleus and the implications of energy loss due to radiation. It highlights that electrons, if modeled as orbiting like planets, would rapidly lose energy and spiral into the nucleus. The Larmor formula, P = (2e²a²)/(3c³), is presented as a definitive method to calculate the power emitted by an accelerated charge, where 'e' is the electron charge, 'a' is the centripetal acceleration, and 'c' is the speed of light. This calculation demonstrates that electrons cannot maintain stable orbits without losing energy.

PREREQUISITES
  • Understanding of classical mechanics and orbital dynamics
  • Familiarity with electromagnetic radiation principles
  • Knowledge of the Larmor formula and its application
  • Basic concepts of atomic structure and electron behavior
NEXT STEPS
  • Study the derivation and implications of the Larmor formula in detail
  • Explore quantum mechanics to understand electron behavior beyond classical models
  • Investigate the concept of stable electron orbits in quantum mechanics
  • Learn about the relationship between acceleration and radiation in charged particles
USEFUL FOR

Physicists, students of quantum mechanics, and anyone interested in the fundamental principles of atomic structure and energy loss in electron orbits.

Bjarne
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Once it was thought that electrons was orbiting nucleus almost like planet the Sun.
But this could not be correct because then would the electron lose their energy and spiral into the core.
My question is how such orbit energy lost can be calculated.

This is not homework.
 
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Classically, an accelerated charge emits radiation. The Larmor formula tells you the total power emitted by an accelerated charge, and it [tex]P=\frac{2e^2a^2}{3c^3}[/tex], where e is the electron charge, a is the acceleration, and c is the speed of light. If you assume the electron is orbiting the nucleus, you can calculate the centripetal acceleration and how long the electron takes to spiral into the nucleus. It doesn't take long!
 

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