Knowledge Bank

The Zeeman effect in the 2782.22 {\AA} band of HCP has been observed and indicates the excited state is $\mathrm{<mrow\; data-mjx-texclass="ORD">3</mrow>}\Delta 1$. A formula is derived for a $\mathrm{<mrow\; data-mjx-texclass="ORD">3</mrow>}\Delta 1$ state, intermediate between case (a) and case (b), which expresses the Zeeman splitting as a function of J and the spin-orbit coupling constant. By applying this formula the spin-orbit coupling constant is found to be +22.3 or -$16.0cm-1$, depending on whether the $^{3} \Delta $ state is normal or inverted. The rotational constant and band origin for these two cases are also computed.