Permutational Representation
The permutational representation represents the number of atoms that are invariant under the symmetry operations of the group. In this table one can find the representation for each one of the Wyckoff positions.
| WP | A1g | A1u | A2g | A2u | B1g | B1u | B2g | B2u | Eu | Eg |
| 8h | 1 | 1 | · | · | · | · | 1 | 1 | 1 | 1 |
Mechanical Representation
The mechanical representation is defined as the direct product of the permutational representation with the vectorial representation. The mechanical representation for each one of the chosen Wyckoff positions is given in the following table.
| WP | A1g | A1u | A2g | A2u | B1g | B1u | B2g | B2u | Eu | Eg | Modes |
| 8h | 1 | 1 | 2 | 2 | 2 | 2 | 1 | 1 | 3 | 3 | Show |
Note: Click in the Show option to obtain the symmetry adapted modes for a given orbit.Irreps decompositions
In the following table one can find the decomposition of the vectorial, pseudo vectorial and so on representations.
| D4h (4/mmm) | A1g | A1u | A2g | A2u | B1g | B1u | B2g | B2u | Eu | Eg |
| V | · | · | · | 1 | · | · | · | · | 1 | · |
| A | · | · | 1 | · | · | · | · | · | · | 1 |
| [V2] | 2 | · | · | · | 1 | · | 1 | · | · | 1 |
| [V2] x V | · | 1 | · | 3 | · | 2 | · | 2 | 5 | · |
IR Raman Hyper-Raman Modes