Table: Atomic Numbers
| Quantum Numbers for Atoms |
| principal | $\begin{align} {\mathrm{n}} \; \equiv \frac{ n^{\mathsf{d}} }{4} \end{align}$ |
| azimuthal | $\begin{align} \ell \; \equiv \frac{ N^{\sf{U}} + N^{\sf{D}} + \left| \, N^{\sf{U}} - N^{\sf{D}} \right| }{8} - \frac{ n^{\sf{d}}}{2} \end{align}$ |
| 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 |
$\begin{align} j \; \equiv \frac{ \, \left| \, N^{\mathsf{U}} - N^{\mathsf{D}} \, \right| \, }{8} \end{align}$ |
page revision: 42, last edited: 17 Aug 2019 18:13
