Calculating Electron Wavelength from Quantum Levels Using Orbit Circumference

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    Electrons Wavelength
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Discussion Overview

The discussion revolves around calculating the wavelength of electrons in different quantum levels by using the circumference of their orbits. It explores the relationship between quantum mechanics concepts such as deBroglie wavelength and energy levels, focusing on theoretical implications and mathematical relationships.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant states the formula λ=h/p but seeks clarification on how to apply it to find electron wavelengths from quantum levels using orbit circumference.
  • Another participant suggests relating momentum to energy levels and references the relationship between deBroglie wavelength and orbit circumference, expressing uncertainty about the depth of the model.
  • A participant confirms the relationship nλ=2πr, indicating knowledge of energy states and radii, and questions whether this can yield the wavelength.
  • It is noted that the nth energy level corresponds to a circumference that contains n deBroglie wavelengths.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and certainty regarding the application of formulas and relationships, indicating that multiple views remain on how to effectively calculate the wavelength from quantum levels.

Contextual Notes

Some assumptions about the definitions of energy levels and momentum may be implicit, and the discussion does not resolve how these concepts interrelate mathematically.

rburt
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I know that λ=h/p, but how do you find the wavelength of electrons from different quantum levels using the circumference of the electron's orbit?
 
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https://www.physicsforums.com/showthread.php?t=80471

Presumably you can relate momentum to the energy level?
You know the relation between the deBroglie wavelength and the circumference of the orbit?
I don't know that this is a model worth going into a great deal with.
 
I do know that nλ=2πr(or the circumference). I know the energy states and the radii of each state, but would this give me the wavelength (λ)?
 
The nth energy level has circumference n deBroglie wavelengths.
 

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