How the ideas connect
A good science page should make the connection visible, not just list definitions.
Quantum numbers
Quantum numbers label allowed electron states in atoms: principal, orbital angular momentum, magnetic and spin quantum numbers.
They are not arbitrary addresses; together they encode energy-scale, orbital shape/orientation information and spin state within the quantum model.
Atomic orbitals
An atomic orbital is a quantum-mechanical description associated with an electron state in an atom, not a tiny classical path.
The familiar s, p, d and f labels organize electronic structure and help make sense of the architecture of the periodic table.
Pauli exclusion principle
The Pauli exclusion principle states that no two identical fermions can occupy the same quantum state. In an atom, no two electrons can share all four quantum numbers.
This rule is fundamental to electron-shell structure and therefore to the architecture of the periodic table.
Hund's rule
Hund’s rule describes the lowest-energy filling pattern within a set of degenerate orbitals: electrons occupy different orbitals with parallel spins before pairing, in the usual atomic model.
It helps explain ground-state electron configurations and magnetic behaviour, but it belongs to a broader quantum-mechanical energy picture.
What to notice
A good science page should make the connection visible, not just list definitions.
Sources
IUPAC Gold Book · NIST · BIPM