How Bohr's angular momentum formula derived?

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SUMMARY

Bohr's angular momentum formula, expressed as nh/2π, is a postulate rather than a derivation within the Bohr model of the atom. The formula relates to angular momentum, defined as mvr, and kinetic energy, given by mv²/2. The discussion highlights the need for understanding the motivations behind Bohr's postulation of quantized angular momentum, which does not fully align with quantum mechanics principles. Resources such as the provided links offer further insights into Bohr's model and its foundational postulates.

PREREQUISITES
  • Understanding of angular momentum (mvr)
  • Familiarity with kinetic energy equations (mv²/2)
  • Basic knowledge of the Bohr model of the atom
  • Awareness of quantum mechanics principles
NEXT STEPS
  • Research the historical context and motivations behind Bohr's postulates
  • Study the implications of quantized angular momentum in quantum mechanics
  • Explore the differences between classical and quantum mechanical models of the atom
  • Examine resources on the derivation and application of the Bohr model
USEFUL FOR

Students of physics, educators teaching atomic theory, and anyone interested in the foundational concepts of quantum mechanics and the Bohr model.

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Homework Statement


Can anyone figure out how Bohr's angular momentum formula nh/2pie is derived? I can't figure it out. I know it has something to do with angular momentum= which is mvr, and Kinetic energy which is mv^2/2. lol, I am stumped.


Homework Equations


angular momentum= which is mvr, and Kinetic energy which is mv^2/2. l


The Attempt at a Solution

 
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Can anyone figure out how Bohr's angular momentum formula nh/2pie is derived?

Angular momentum =nh/2π is postulated, not derived, in the Bohr model.

http://www.pha.jhu.edu/~rt19/hydro/node2.html
http://www.physics.byu.edu/faculty/christensen//Physics%20106/Graphics/Bohr%20Model%20Postulates.htm

A fair question would be, what was Bohr's motivation for postulating the quantization of angular momentum? That I do not know.
 
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Thanks a lot. That helped a lot. It will take me a while to truly understand the intuition behind the formula. From what I understand, some of Bohr's Postulates do not follow quantum mechanics. I'm still kind of sketchy with the formula, but thanks for your help, it was a big hint.
 

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