Are De-Broglie & Bohr's Stationary Orbits Different?

  • Context: Graduate 
  • Thread starter Thread starter roshan2004
  • Start date Start date
  • Tags Tags
    Orbits
Click For Summary

Discussion Overview

The discussion revolves around the comparison between de Broglie's stationary orbits and Bohr's stationary orbits, exploring their similarities and differences. Participants delve into the historical context and theoretical implications of both models in atomic physics.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant questions whether de Broglie stationary orbits are different from Bohr's stationary orbits.
  • Another participant seeks clarification on what de Broglie stationary orbits are.
  • It is proposed that only waves with an integral number of de Broglie wavelengths around the orbit are permitted.
  • Some participants suggest that de Broglie's stationary orbits are equivalent to Bohr's stationary orbits.
  • A participant notes the historical timeline, stating that de Broglie's hypothesis came after Bohr's theory and was later confirmed by an experiment in 1927.
  • There is a mention of the quantization of angular momentum in the Bohr model and its relation to de Broglie's wavelength.
  • Discussion includes the application of de Broglie's theory in the context of the Schrödinger equation and the Bohr-Sommerfeld model.

Areas of Agreement / Disagreement

Participants express differing views on whether de Broglie's and Bohr's stationary orbits are fundamentally the same or different, indicating that the discussion remains unresolved.

Contextual Notes

Participants reference historical developments and theoretical models without reaching a consensus on the equivalence of the two types of stationary orbits. The discussion includes assumptions about the nature of quantization and the implications of wave-particle duality.

roshan2004
Messages
140
Reaction score
0
Are De-Broglie stationary orbits different from Bohr's stationar orbits? I really haven't been able to figure out.
 
Physics news on Phys.org
What are de Broglie stationary orbits?
 
Only waves with an integral number of
de Broglie wavelengths around the orbit are allowed
 
I see. They are equivalent to the Bohr's stationary orbits.
 
roshan2004 said:
Are De-Broglie stationary orbits different from Bohr's stationar orbits? I really haven't been able to figure out.

The result is that they are the same.
But de Broglie's hypothesis was in 1923, which is later than the Bohr's theory in 1913.
And later in 1927 de Broglie's hypothesis ([tex]\lambda = h/mv[/tex]) was confirmed by Davisson and Germer in the interference experiment.
(Of course, the de Broglie's theory is used also by the Schroedinger equation in making the end of the phases the same.)

For example, In the Bohr model, the angular momentum is quantized. Its minimum value is [tex]\hbar[/tex]. So, the orbital length (2 pi *r) is,

[tex]mvr = \hbar = h/2\pi \quad \to \quad 2\pi r = h/mv = \lambda \times 1[/tex]

Also in the elliptical orbit, it can be used (See this thread).

The important point is that in the Bohr-Sommerfeld model, only one electron is included in one orbit of one de Broglie's wavelength.
 
Last edited:

Similar threads

Graduate De Broglie to Schrödinger to Thomson to Bohm?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate When does the wavefunction wavelength equal the De Broglie wavelength?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Why the electron orbit is a integer multiple of De Broglie wavelength?
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Problems with De Broglie's Wavelength
  • · Replies 28 ·
Replies
28
Views
8K
Undergrad What is the radius of the de broglie circular orbit with n=1?
  • · Replies 1 ·
Replies
1
Views
1K
Graduate De broglie's explanation of bohr's second postulate
  • · Replies 2 ·
Replies
2
Views
9K
Graduate A question related to de Broglie wavelength and the Uncertainty Principle
  • · Replies 6 ·
Replies
6
Views
3K
Graduate What are De Broglie Waves and Their Role in Understanding Particle Behavior?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate How did Bohr come up with his model before De Broglie?
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Interpretations of diffusion in Quantum Mechanics.
  • · Replies 2 ·
Replies
2
Views
2K