Table 3 Double-group IRs obtained from single-group IRs for \(D_{3h}\) group.

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

\(\Gamma _{i}(D_{3h})\)

\(A^{\prime }_{1}\)

\(A^{\prime }_{2}\)

\(A^{\prime \prime }_{1}\)

\(A^{\prime \prime }_{2}\)

\(E^{\prime }\)

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

\(\Gamma _{i}\bigotimes E_{1/2}\)

\(E_{1/2}\)

\(E_{1/2}\)

\(E_{5/2}\)

\(E_{5/2}\)

\(E_{3/2}\bigoplus E_{5/2}\)

\(E_{1/2}\bigoplus E_{3/2}\)