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Why do multiple electrons occupy the same orbital if electrons repel each other?

Ciro Santilli (@cirosantilli, 37) ... Quantum mechanics Non-relativistic quantum mechanics Schrödinger equation Solutions of the Schrodinger equation Solutions for the Schrodinger equation with multiple particles Hartree-Fock method
Updated 2025-07-16  0 By others on same topic  0 Discussions Create my own version
That is, two electrons per atomic orbital, each with a different spin.
As shown at Schrödinger equation solution for the helium atom, they do repel each other, and that affects their measurable energy.
However, this energy is still lower than going up to the next orbital. TODO numbers.
Bibliography:
  • physics.stackexchange.com/questions/505263/do-electrons-in-the-same-orbital-but-different-spin-feel-each-others-coulomb-re
This changes however at higher orbitals, notably as approximately described by the aufbau principle.

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