Table 5 Electric Dipole selection rules in \(D_{3h}\) symmetry. \(\sigma\) represents in plane transitions while \(\pi\) represents out of plane transitions.

From: First-principles study of the electronic and optical properties of Ho\(_{\text{W}}\) impurities in single-layer tungsten disulfide

\(D_{3h}\)

\(A_{1}^{\prime }\)

\(A_{2}^{\prime }\)

\(A_{1}^{\prime \prime }\)

\(A_{2}^{\prime \prime }\)

\(E^{\prime }\)

\(E^{\prime \prime }\)

\(A_{1}^{\prime }\)

   

\(\pi\)

\(\sigma\)

 

\(A_{2}^{\prime }\)

  

\(\pi\)

 

\(\sigma\)

 

\(A_{1}^{\prime \prime }\)

 

\(\pi\)

   

\(\sigma\)

\(A_{2}^{\prime \prime }\)

\(\pi\)

    

\(\sigma\)

\(E^{\prime }\)

\(\sigma\)

\(\sigma\)

  

\(\sigma\)

\(\pi\)

\(E^{\prime \prime }\)

  

\(\sigma\)

\(\sigma\)

\(\pi\)

\(\sigma\)