✅
S18 | E | C9 | (C9)2 | C3 | (C9)4 | (C9)5 | (C3)2 | (C9)7 | (C9)8 | i | (S18)11 | (S18)13 | (S6)5 | (S18)17 | S18 | S6 | (S18)5 | (S18)7 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Ag | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
E1g* | 1 1 |
ε* ε* |
ε2* ε2* |
ε3* ε3* |
ε4* ε4* |
ε4* ε4* |
ε3* ε3* |
ε2* ε2* |
ε* ε* |
1 1 |
ε* ε* |
ε2* ε2* |
ε3* ε3* |
ε4* ε4* |
ε4* ε4* |
ε3* ε3* |
ε2* ε2* |
ε* ε* |
E2g* | 1 1 |
ε2* ε2* |
ε4* ε4* |
ε3* ε3* |
ε* ε* |
ε* ε* |
ε3* ε3* |
ε4* ε4* |
ε2* ε2* |
1 1 |
ε2* ε2* |
ε4* ε4* |
ε3* ε3* |
ε* ε* |
ε* ε* |
ε3* ε3* |
ε4* ε4* |
ε2* ε2* |
E3g* | 1 1 |
ε3* ε3* |
ε3* ε3* |
1 1 |
ε3* ε3* |
ε3* ε3* |
1 1 |
ε3* ε3* |
ε3* ε3* |
1 1 |
ε3* ε3* |
ε3* ε3* |
1 1 |
ε3* ε3* |
ε3* ε3* |
1 1 |
ε3* ε3* |
ε3* ε3* |
E4g* | 1 1 |
ε4* ε4* |
ε* ε* |
ε3* ε3* |
ε2* ε2* |
ε2* ε2* |
ε3* ε3* |
ε* ε* |
ε4* ε4* |
1 1 |
ε4* ε4* |
ε* ε* |
ε3* ε3* |
ε2* ε2* |
ε2* ε2* |
ε3* ε3* |
ε* ε* |
ε4* ε4* |
Au | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 |
E1u* | 1 1 |
ε* ε* |
ε2* ε2* |
ε3* ε3* |
ε4* ε4* |
ε4* ε4* |
ε3* ε3* |
ε2* ε2* |
ε* ε* |
-1 -1 |
-ε* -ε* |
-ε2* -ε2* |
-ε3* -ε3* |
-ε4* -ε4* |
-ε4* -ε4* |
-ε3* -ε3* |
-ε2* -ε2* |
-ε* -ε* |
E2u* | 1 1 |
ε2* ε2* |
ε4* ε4* |
ε3* ε3* |
ε* ε* |
ε* ε* |
ε3* ε3* |
ε4* ε4* |
ε2* ε2* |
-1 -1 |
-ε2* -ε2* |
-ε4* -ε4* |
-ε3* -ε3* |
-ε* -ε* |
-ε* -ε* |
-ε3* -ε3* |
-ε4* -ε4* |
-ε2* -ε2* |
E3u* | 1 1 |
ε3* ε3* |
ε3* ε3* |
1 1 |
ε3* ε3* |
ε3* ε3* |
1 1 |
ε3* ε3* |
ε3* ε3* |
-1 -1 |
-ε3* -ε3* |
-ε3* -ε3* |
-1 -1 |
-ε3* -ε3* |
-ε3* -ε3* |
-1 -1 |
-ε3* -ε3* |
-ε3* -ε3* |
E4u* | 1 1 |
ε4* ε4* |
ε* ε* |
ε3* ε3* |
ε2* ε2* |
ε2* ε2* |
ε3* ε3* |
ε* ε* |
ε4* ε4* |
-1 -1 |
-ε4* -ε4* |
-ε* -ε* |
-ε3* -ε3* |
-ε2* -ε2* |
-ε2* -ε2* |
-ε3* -ε3* |
-ε* -ε* |
-ε4* -ε4* |
Number of symmetry elements | h = 18 |
Number of classes, irreps | n = 18 |
Number of real-valued irreducible representations | n = 10 |
Abelian group | yes |
Optical Isomerism (Chirality) | no |
Polar | no |
Parity | yes |