Bohr Model Electron Movement Question

In summary, an electron in an excited state (r=4a0) can transition to a ground state (r=a0) by emitting a photon while existing in between the two states for a short period of time. This is due to the electron's wavefunction, which is non-zero at every position and only its most probable location (r=a0) is measured.
  • #1

Homework Statement



How does an electron get from an excited state (r = 4ao) to a ground state (r = ao) without being anywhere in between?

Homework Equations


The Attempt at a Solution



My only attempt would be to say that it does exist between for a short time, and during that time it emits a photon. The book I'm working with poses the question but lends no hint toward how to answer it, it simply states the electron "jumps" between states.
 
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  • #2
The idea is that the electron is described by a wavefunction, which is non-zero at every position... [itex]r=a_0[/itex] is just the most probable position for you to find an electron in the ground state, when you measure its position.

The electron's position doesn't jump from [itex]r=4a_0[/itex] to [itex]r=a_0[/itex], only its most probable location, upon measurement, makes that jump.
 
  • #3
Awesome, thank you so much.
 

1. What is the Bohr model of electron movement?

The Bohr model, or Bohr-Rutherford model, is a simplified representation of how electrons move around the nucleus of an atom. It proposes that electrons orbit the nucleus in specific energy levels, or shells, and can transition between these levels by absorbing or emitting energy.

2. What are the main limitations of the Bohr model?

One of the main limitations of the Bohr model is that it only works for atoms with one electron, such as hydrogen. It also does not accurately account for the behavior of electrons in more complex atoms. Additionally, the model does not explain why electrons do not lose energy as they orbit the nucleus, as classical physics would predict.

3. How does the Bohr model explain the stability of atoms?

The Bohr model suggests that electrons occupy specific energy levels around the nucleus. These levels are stable because they represent the lowest energy state for the electrons to be in. When an electron absorbs or emits energy and moves between levels, it will eventually return to its stable state.

4. Can the Bohr model explain chemical bonding?

No, the Bohr model does not explain chemical bonding. It only describes how electrons move within an atom. To explain chemical bonding, we need to consider the behavior of electrons in the outermost energy level, or valence shell, of an atom.

5. How does the Bohr model relate to modern quantum mechanics?

The Bohr model was an important stepping stone in the development of modern quantum mechanics. While it has been replaced by more accurate models, the Bohr model still provides a conceptual framework for understanding atomic structure and the behavior of electrons. It helped scientists to understand that electrons do not move in a continuous orbit, but rather in a probabilistic cloud around the nucleus.

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