Table 4 Electric dipole selection rules in \(C_{3h}\) 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

\(C_{3h}\)

\(A^{\prime }\)

\(A^{\prime \prime }\)

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

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

\(E_1^{\prime \prime }\)

\(E_2^{\prime \prime }\)

\(A^{\prime }\)

 

\(\pi\)

\(\sigma ^-\)

\(\sigma ^+\)

  

\(A^{\prime \prime }\)

\(\pi\)

   

\(\sigma ^-\)

\(\sigma ^+\)

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

\(\sigma ^-\)

 

\(\sigma ^+\)

  

\(\pi\)

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

\(\sigma ^+\)

  

\(\sigma ^-\)

\(\pi\)

 

\(E_1^{\prime \prime }\)

 

\(\sigma ^-\)

 

\(\pi\)

\(\sigma ^+\)

 

\(E_2^{\prime \prime }\)

 

\(\sigma ^+\)

\(\pi\)

  

\(\sigma ^-\)