Does Bohr's model of Hydrogen atom violate the uncertainty principle?

Click For Summary
SUMMARY

Bohr's model of the Hydrogen atom fundamentally violates the uncertainty principle due to its semi-classical nature, where the electron's position and momentum are precisely defined. The model asserts that the electron orbits the nucleus at a specific radius (r) and speed (v), contradicting the principles of quantum mechanics. Additionally, the orbital angular momentum calculated in the Bohr model is incorrect, and it is impossible to derive accurate angular momentum solutions from this framework.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with Bohr's model of the atom
  • Knowledge of the uncertainty principle
  • Basic concepts of angular momentum in physics
NEXT STEPS
  • Research the Heisenberg uncertainty principle in detail
  • Explore quantum mechanical models of the atom, such as the Schrödinger equation
  • Study the derivation of angular momentum in quantum mechanics
  • Investigate the limitations of classical models in explaining atomic behavior
USEFUL FOR

Physics students, educators, and anyone interested in atomic theory and quantum mechanics will benefit from this discussion.

somebody-nobody
Messages
12
Reaction score
0
In what ways does Bohr's model of Hydrogen atom violate the uncertainty principle?
 
Physics news on Phys.org
The Bohr model is semi-classical. The electron orbits the nucleus in a circle at a particular, known distance r at a known speed v. Therefore, its momentum and position are precisely known at all times, in violation of the uncertainty principle.

The orbital angular momentum of the atom is given incorrectly in the Bohr model, too, and in fact there is no way to derive the correct angular momentum solutions from that model.
 

Similar threads

  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 32 ·
2
Replies
32
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 22 ·
Replies
22
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 18 ·
Replies
18
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K