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Electron Filling Rules

What rules do electrons follow when filling atomic orbitals?

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Many different orbitals exist in an atom. An orbital is a region where a given electron (or pair of electrons) is most likely to exist. But the orbital to which a given electron is assigned is not just random. Electrons enter orbitals in a predictable manner that obeys certain rules. The three rules are shown in the table below.

Aufbau principle Electrons will always fill the lowest energy orbitals first.
Hund's rule When there are multiple orbitals with the same energy, every orbital must have one electron before any orbital will get a second.
Pauli exclusion principle No two electrons in an atom can have identical quantum numbers.

Question

How do electrons enter orbitals within an atom?

Electrons enter orbitals in a predictable way that follows specific rules, rather than being assigned randomly.