Energy of Electron: Jumping to Higher States

  • Context: Undergrad 
  • Thread starter Thread starter ajith.mk91
  • Start date Start date
  • Tags Tags
    Electron Energy
Click For Summary

Discussion Overview

The discussion revolves around the behavior of an electron in relation to equipotential surfaces and its kinetic energy (K.E.). Participants explore how an electron transitions between different potential surfaces and the relationship between kinetic and potential energy, particularly in the context of energy bands.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant questions whether an electron with K.E. greater than e(V1-V2) can jump to a higher potential surface and what happens to its kinetic energy in that case.
  • Another participant suggests that an electron cannot have kinetic energy while on an equipotential surface, comparing it to a body orbiting the Earth, indicating that the electron's position is determined by the balance of forces rather than constant potential.
  • A participant asks about the interrelation of potential energy (PE) and kinetic energy (KE), inquiring about the governing laws of their relationship.
  • Further clarification is sought regarding the kinetic energy of a hole in the valence band, questioning if it refers to the kinetic energy of an incoming electron.
  • One participant states that while KE and PE are related by the principle of conservation of energy, the specific relationship relevant to the discussion involves centripetal acceleration and the forces acting on the electron.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between kinetic and potential energy, as well as the conditions under which an electron can transition between potential surfaces. The discussion remains unresolved with multiple competing perspectives on these concepts.

Contextual Notes

There are limitations in the discussion regarding assumptions about the behavior of electrons in potential fields and the definitions of kinetic energy in different contexts, such as in energy bands.

ajith.mk91
Messages
30
Reaction score
0
Suppose we have 3 equipotential surfaces V1 V2 & V3(V1>V2>V3) and an electron residing in second surface and roaming freely with kinetic energy say K.E. Now if our K.E is greater than e(V1-V2) will the electron jump to the top surface with decreased kinetic energy? On the other hand will it jump to the lower state?If none of the above happens how will an electron jump to higher states if we provide external energy(as in the case of energy bands)?
 
Physics news on Phys.org
welcome to pf!

hi ajith.mk91! welcome to pf! :smile:
ajith.mk91 said:
Suppose we have 3 equipotential surfaces V1 V2 & V3(V1>V2>V3) and an electron residing in second surface and roaming freely with kinetic energy say K.E. Now if our K.E is greater than …

it can't have any KE …

compare it with a body orbiting the Earth at a particular radius …

to do so it must have a particular speed (and KE) …

it stays on that equipotential surface not because the potential is constant, but because its gradient exactly matches its KE

same for an electron in an electromagnetic field :wink:
 
Do you mean to say that both PE and KE are interrelated? If they are,which law governs their relation?
And secondly what is meant by KE of a hole in the valence band. Is it the KE of incoming electron?
 
Last edited:
hi ajith.mk91 ! :smile:
ajith.mk91 said:
Do you mean to say that both PE and KE are interrelated? If they are,which law governs their relation?

not exactly

yes, KE and PE are related by the law KE + PE = constant (or = work done if there's some external force)

no, they aren't related to what we were talking about … the relation needed for that is between the centripetal acceleration (which happens to be proportional to KE) and the gravitational or electric force (not potential) :wink:
And secondly what is meant by KE of a hole in the valence band. Is it the KE of incoming electron?

sorry, not my field, never heard of it :redface:
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 56 ·
2
Replies
56
Views
7K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 21 ·
Replies
21
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
4K