Pauli Exclusion Principle

No two electrons in an atom can have identical quantum numbers. This is an example of a general principle which applies not only to electrons but also to other particles of half-integer spin (fermions). It does not apply to particles of integer spin (bosons).

The nature of the Pauli exclusion principle can be illustrated by supposing that electrons 1 and 2 are in states a and b respectively. The wavefunction for the two electron system would be


but this wavefunction is unacceptable because the electrons are identical. To account for this we must use a linear combination

The Pauli exclusion principle is part of one of our most basic observations of nature: particles of half-integer spin must have antisymmetric wavefunctions, and particles of integer spin must have symmetric wavefunctions.

Applications

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Pauli Exclusion Principle Applications

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What is the origin of the Pauli exclusion principle?

Pauli principle role in: Ionic bonding
Covalent bonding
Nuclear shell structure
Nuclear binding energy
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