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Atomic Orbital
Linked via "spin magnetic quantum number"
The Fourth Quantum Number ($m_s$)
The fourth quantum number, the spin magnetic quantum number\ ($ms$), describes the intrinsic angular momentum (spin) of the electron. It is restricted to two values: $+\frac{1}{2}$ (spin up) or $-\frac{1}{2}$ (spin down). The Pauli exclusion principle mandates that no two electrons in an atom may share the same four quantum numbers ($n, l, ml, m_s$). This limitation is precisely what prevents the complete collapse of…