Spacial distance of paired electrons

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SUMMARY

Paired electrons exist within the same subshell but are characterized by opposite spins, as dictated by the Pauli exclusion principle. This principle asserts that two electrons cannot occupy the same quantum state simultaneously, allowing them to coexist in the same spatial location with spins of +1/2 and -1/2. The opposing spins result in the cancellation of their magnetic fields, leading to a net magnetic effect of zero. The alignment of their spins is crucial for understanding their behavior in quantum mechanics.

PREREQUISITES
  • Understanding of the Pauli exclusion principle
  • Familiarity with quantum spin and its values (+1/2 and -1/2)
  • Knowledge of electron subshells and their configurations
  • Basic principles of magnetism in quantum mechanics
NEXT STEPS
  • Research the implications of the Pauli exclusion principle in quantum chemistry
  • Explore quantum spin and its role in particle physics
  • Study electron configurations in various elements
  • Investigate the effects of electron alignment on magnetic properties
USEFUL FOR

Students of quantum mechanics, physicists, and anyone interested in the behavior of electrons in atomic structures.

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Are paired electrons at a spatial distance from one another or are they "mixed" in some way. Why do their magnetic poles cancel?
 
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They are mixed within their subshells. The pauli exclusion principle states that the electrons can never be in the same quantum state at the same time. Since quantum spin is one of the variables that determines the state of the electron, and has a value of +1/2 or -1/2 (up or down), two electrons can occupy the same subshell at the same time as long as they have opposite spins. (So in effect they would be in the same place at the same time but with opposite spins) The direction of spin is also the direction of the magnetic field, so the two electrons cancel each other out.
 
Drakkith said:
The direction of spin is also the direction of the magnetic field, so the two electrons cancel each other out.

I could ask why the axes of the two electrons would need to be 'aligned'. I know that's just being difficult :smile: but it has to be realized that we're in the quantum world and, until you start to measure the actual direction of the alignment in some way, it's totally uncommitted. Then +1/2 electron 'forces' the -1/2 spin electron to be in opposition.
 

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