Bohr's Atom Model: Kepler's Law & Elliptical Orbits

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SUMMARY

Bohr's atomic model, introduced in 1913, utilized circular orbits for electrons around the nucleus, simplifying the complex interactions of gravitational and electrostatic forces. This choice was strategic, as circular orbits provided a straightforward framework that aligned with experimental observations of the hydrogen atom. The model also established that electrons occupy discrete energy levels, which prevents the continuous emission and absorption of photons that would occur in elliptical orbits. Thus, Bohr's approach effectively balanced simplicity and accuracy in atomic theory.

PREREQUISITES
  • Understanding of Bohr's atomic model
  • Familiarity with Kepler's laws of planetary motion
  • Knowledge of electrostatic forces and their implications
  • Basic concepts of quantum mechanics and energy levels
NEXT STEPS
  • Explore the implications of Bohr's model on modern quantum mechanics
  • Study the differences between circular and elliptical orbits in atomic theory
  • Investigate the concept of discrete energy levels in quantum systems
  • Learn about the historical context and evolution of atomic models post-Bohr
USEFUL FOR

Students of physics, educators in atomic theory, and researchers interested in the historical development of quantum mechanics will benefit from this discussion.

gandharva_23
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When bohr gave his model of atom kepler's law already existed ... What made him think that the electrons revolve around the neucleus in circular orbits ? The obvious assumption that should have come to his mind looking at the analogy between the gravitational and electrostatic force should have been of elliptical orbits ?
 
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When you work on something new, you start with the simplest model first. Circular orbits are simple. And when you obtain results that actually could fit the experimental observations for the hydrogen atom, you realize that you don't have to make it any more difficult than necessary.

Zz.
 
You could also say that in Bohrs model, electrons exist in discrete energy levels. An elliptical orbit would create energy differences at different points in the orbit. This would lead to constant emmission and absorption of photons spontaneously
 

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