Table 5 Electric Dipole selection rules in \(D_{3h}\) symmetry. \(\sigma\) represents in plane transitions while \(\pi\) represents out of plane transitions.
\(D_{3h}\) | \(A_{1}^{\prime }\) | \(A_{2}^{\prime }\) | \(A_{1}^{\prime \prime }\) | \(A_{2}^{\prime \prime }\) | \(E^{\prime }\) | \(E^{\prime \prime }\) |
---|---|---|---|---|---|---|
\(A_{1}^{\prime }\) | Â | Â | Â | \(\pi\) | \(\sigma\) | Â |
\(A_{2}^{\prime }\) | Â | Â | \(\pi\) | Â | \(\sigma\) | Â |
\(A_{1}^{\prime \prime }\) | Â | \(\pi\) | Â | Â | Â | \(\sigma\) |
\(A_{2}^{\prime \prime }\) | \(\pi\) | Â | Â | Â | Â | \(\sigma\) |
\(E^{\prime }\) | \(\sigma\) | \(\sigma\) | Â | Â | \(\sigma\) | \(\pi\) |
\(E^{\prime \prime }\) | Â | Â | \(\sigma\) | \(\sigma\) | \(\pi\) | \(\sigma\) |