Review Article

1s2p RIXS Calculations for 3d Transition Metal Ions in Octahedral Symmetry

Table 4

Direct products of representations (cont.) in symmetry (dipole).

OhA1uA2uEuT1uT2u

A1gA1uA2uEuT1uT2u
A2gA2uA1uEuT2uT1u
EgEuEuA1u ⊕ A2u ⊕ EuT1u ⊕ T2uT1u ⊕ T2u
T1gT1uT2uT1u ⊕ T2uA1u ⊕ Eu ⊕ T1u ⊕ T2uA2u ⊕ Eu ⊕ T1u ⊕ T2u
T2gT2uT1uT1u ⊕ T2uA2u ⊕ Eu ⊕ T1u ⊕ T2uA1u ⊕ Eu ⊕ T1u ⊕ T2u

A1uA1gA2gEgT1gT2g
A2uA1gEgT2gT1g
EuA1g ⊕ A2g ⊕ EgT1g ⊕ T2gT1g ⊕ T2g
T1uA1g ⊕ Eg ⊕ T1g ⊕ T2gA2g ⊕ Eg ⊕ T1g ⊕ T2g
T2uA1g ⊕ Eg ⊕ T1g ⊕ T2g