Exchange energy of electrons in degenerate orbitals

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Discussion Overview

The discussion revolves around the concept of exchange energy in the context of electrons occupying degenerate orbitals. Participants explore the implications of exchange energy on the stability of half-filled and fully filled orbitals, as well as the nature of electron transitions between orbitals.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants assert that the stability of half-filled or fully filled orbitals is due to high exchange energy, but there is uncertainty about why electrons in degenerate orbitals would exchange positions.
  • One participant mentions that the concept of electrons "wanting" to exchange positions may be a misunderstanding, suggesting it is more about mathematical factors related to orbital overlap.
  • Another participant seeks clarification on how exchange energy contributes to stability and what it fundamentally represents.
  • Several posts reference the nature of electron transitions and the mathematical framework of quantum mechanics, including wave functions and eigenstates, but do not directly address the initial question about exchange energy.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the nature of exchange energy or its implications for stability. Multiple competing views and questions remain unresolved.

Contextual Notes

There are limitations in the discussion regarding the definitions of exchange energy and its mathematical representation, as well as the assumptions about electron behavior in degenerate orbitals.

Who May Find This Useful

This discussion may be of interest to those studying quantum mechanics, atomic structure, or the principles of electron configuration in chemistry and physics.

hav0c
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We are taught that a reason for the stability of half filled or fully filled orbitals is due to the high exchange energy.
Now i get why the exchange energy would be higher compared to other configurations but i don't understand why electrons present in degenerate orbitals would want to exchange their positions..
 
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some different topics:
1)
http://en.wikipedia.org/wiki/Atomic_electron_transition
2)
An electron jumps between orbitals in the same way as it moves around within a single orbital; "nature's law". The difference is that to change orbitals, some of the quantum numbers of the electrons have to changes.
3)
An electron does not have a position but occupies all space. Observations of the electron position are given in the wave function. Also related to the probability distribution function.
4)
The orbitals are eigen states of energy operator. Electron can exist in any state, but this state is representable by superposition of eigenstates.
 
janhaa said:
some different topics:
1)
http://en.wikipedia.org/wiki/Atomic_electron_transition
2)
An electron jumps between orbitals in the same way as it moves around within a single orbital; "nature's law". The difference is that to change orbitals, some of the quantum numbers of the electrons have to changes.
3)
An electron does not have a position but occupies all space. Observations of the electron position are given in the wave function. Also related to the probability distribution function.
4)
The orbitals are eigen states of energy operator. Electron can exist in any state, but this state is representable by superposition of eigenstates.
Alright but i still haven't got my answer
 
hav0c said:
We are taught that a reason for the stability of half filled or fully filled orbitals is due to the high exchange energy.
Now i get why the exchange energy would be higher compared to other configurations but i don't understand why electrons present in degenerate orbitals would want to exchange their positions..

I'm not sure I understand your question. I don't think it's about "electrons wanting to exchange their positions", I think it's a mathematical factor that depends on the overlap of different orbitals.
 
Einstein Mcfly said:
I think it's a mathematical factor that depends on the overlap of different orbitals.

can you please elaborate?
my actual question is -how is exchange energy a relevant factor to stability and what is it actually.
 

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