Table: Atomic Numbers
Quantum Numbers for Atoms
principal $\begin{align} {\mathrm{n}} \equiv \frac{ n^{\mathsf{d}} }{4} \end{align}$
azimuthal $\begin{align} \ell \equiv \frac{ N^{\sf{U}} + N^{\sf{D}} + \left| N^{\sf{U}} - N^{\sf{D}} \right| - 4{ n^{\sf{d}}} }{8} \end{align}$
spin angular momentum $\begin{align} s \equiv \frac{ n^{\mathsf{u}} + n^{\mathsf{\overline{u}}} -3 n^{\mathsf{d}}+ n^{\mathsf{\overline{d}}} }{ 8 } \end{align}$
total atomic angular momentum $\begin{align} j \equiv \frac{ \, \left| \, N^{\mathsf{U}} - N^{\mathsf{D}} \, \right| \, }{8} \end{align}$
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