✅
S30 | E | C15 | (C15)2 | C5 | (C15)4 | C3 | (C5)2 | (C15)7 | (C15)8 | (C5)3 | (C3)2 | (C15)11 | (C5)4 | (C15)13 | (C15)14 | i | (S30)17 | (S30)19 | (S10)7 | (S30)23 | (S6)5 | (S10)9 | (S30)29 | S30 | S10 | S6 | (S30)7 | (S10)3 | (S30)11 | (S30)13 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Ag | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 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* |
ε5* ε5* |
ε6* ε6* |
ε7* ε7* |
ε7* ε7* |
ε6* ε6* |
ε5* ε5* |
ε4* ε4* |
ε3* ε3* |
ε2* ε2* |
ε* ε* |
1 1 |
ε* ε* |
ε2* ε2* |
ε3* ε3* |
ε4* ε4* |
ε5* ε5* |
ε6* ε6* |
ε7* ε7* |
ε7* ε7* |
ε6* ε6* |
ε5* ε5* |
ε4* ε4* |
ε3* ε3* |
ε2* ε2* |
ε* ε* |
E2g* | 1 1 |
ε2* ε2* |
ε4* ε4* |
ε6* ε6* |
ε7* ε7* |
ε5* ε5* |
ε3* ε3* |
ε* ε* |
ε* ε* |
ε3* ε3* |
ε5* ε5* |
ε7* ε7* |
ε6* ε6* |
ε4* ε4* |
ε2* ε2* |
1 1 |
ε2* ε2* |
ε4* ε4* |
ε6* ε6* |
ε7* ε7* |
ε5* ε5* |
ε3* ε3* |
ε* ε* |
ε* ε* |
ε3* ε3* |
ε5* ε5* |
ε7* ε7* |
ε6* ε6* |
ε4* ε4* |
ε2* ε2* |
E3g* | 1 1 |
ε3* ε3* |
ε6* ε6* |
ε6* ε6* |
ε3* ε3* |
1 1 |
ε3* ε3* |
ε6* ε6* |
ε6* ε6* |
ε3* ε3* |
1 1 |
ε3* ε3* |
ε6* ε6* |
ε6* ε6* |
ε3* ε3* |
1 1 |
ε3* ε3* |
ε6* ε6* |
ε6* ε6* |
ε3* ε3* |
1 1 |
ε3* ε3* |
ε6* ε6* |
ε6* ε6* |
ε3* ε3* |
1 1 |
ε3* ε3* |
ε6* ε6* |
ε6* ε6* |
ε3* ε3* |
E4g* | 1 1 |
ε4* ε4* |
ε7* ε7* |
ε3* ε3* |
ε* ε* |
ε5* ε5* |
ε6* ε6* |
ε2* ε2* |
ε2* ε2* |
ε6* ε6* |
ε5* ε5* |
ε* ε* |
ε3* ε3* |
ε7* ε7* |
ε4* ε4* |
1 1 |
ε4* ε4* |
ε7* ε7* |
ε3* ε3* |
ε* ε* |
ε5* ε5* |
ε6* ε6* |
ε2* ε2* |
ε2* ε2* |
ε6* ε6* |
ε5* ε5* |
ε* ε* |
ε3* ε3* |
ε7* ε7* |
ε4* ε4* |
E5g* | 1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
E6g* | 1 1 |
ε6* ε6* |
ε3* ε3* |
ε3* ε3* |
ε6* ε6* |
1 1 |
ε6* ε6* |
ε3* ε3* |
ε3* ε3* |
ε6* ε6* |
1 1 |
ε6* ε6* |
ε3* ε3* |
ε3* ε3* |
ε6* ε6* |
1 1 |
ε6* ε6* |
ε3* ε3* |
ε3* ε3* |
ε6* ε6* |
1 1 |
ε6* ε6* |
ε3* ε3* |
ε3* ε3* |
ε6* ε6* |
1 1 |
ε6* ε6* |
ε3* ε3* |
ε3* ε3* |
ε6* ε6* |
E7g* | 1 1 |
ε7* ε7* |
ε* ε* |
ε6* ε6* |
ε2* ε2* |
ε5* ε5* |
ε3* ε3* |
ε4* ε4* |
ε4* ε4* |
ε3* ε3* |
ε5* ε5* |
ε2* ε2* |
ε6* ε6* |
ε* ε* |
ε7* ε7* |
1 1 |
ε7* ε7* |
ε* ε* |
ε6* ε6* |
ε2* ε2* |
ε5* ε5* |
ε3* ε3* |
ε4* ε4* |
ε4* ε4* |
ε3* ε3* |
ε5* ε5* |
ε2* ε2* |
ε6* ε6* |
ε* ε* |
ε7* ε7* |
Au | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 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* |
ε5* ε5* |
ε6* ε6* |
ε7* ε7* |
ε7* ε7* |
ε6* ε6* |
ε5* ε5* |
ε4* ε4* |
ε3* ε3* |
ε2* ε2* |
ε* ε* |
-1 -1 |
-ε* -ε* |
-ε2* -ε2* |
-ε3* -ε3* |
-ε4* -ε4* |
-ε5* -ε5* |
-ε6* -ε6* |
-ε7* -ε7* |
-ε7* -ε7* |
-ε6* -ε6* |
-ε5* -ε5* |
-ε4* -ε4* |
-ε3* -ε3* |
-ε2* -ε2* |
-ε* -ε* |
E2u* | 1 1 |
ε2* ε2* |
ε4* ε4* |
ε6* ε6* |
ε7* ε7* |
ε5* ε5* |
ε3* ε3* |
ε* ε* |
ε* ε* |
ε3* ε3* |
ε5* ε5* |
ε7* ε7* |
ε6* ε6* |
ε4* ε4* |
ε2* ε2* |
-1 -1 |
-ε2* -ε2* |
-ε4* -ε4* |
-ε6* -ε6* |
-ε7* -ε7* |
-ε5* -ε5* |
-ε3* -ε3* |
-ε* -ε* |
-ε* -ε* |
-ε3* -ε3* |
-ε5* -ε5* |
-ε7* -ε7* |
-ε6* -ε6* |
-ε4* -ε4* |
-ε2* -ε2* |
E3u* | 1 1 |
ε3* ε3* |
ε6* ε6* |
ε6* ε6* |
ε3* ε3* |
1 1 |
ε3* ε3* |
ε6* ε6* |
ε6* ε6* |
ε3* ε3* |
1 1 |
ε3* ε3* |
ε6* ε6* |
ε6* ε6* |
ε3* ε3* |
-1 -1 |
-ε3* -ε3* |
-ε6* -ε6* |
-ε6* -ε6* |
-ε3* -ε3* |
-1 -1 |
-ε3* -ε3* |
-ε6* -ε6* |
-ε6* -ε6* |
-ε3* -ε3* |
-1 -1 |
-ε3* -ε3* |
-ε6* -ε6* |
-ε6* -ε6* |
-ε3* -ε3* |
E4u* | 1 1 |
ε4* ε4* |
ε7* ε7* |
ε3* ε3* |
ε* ε* |
ε5* ε5* |
ε6* ε6* |
ε2* ε2* |
ε2* ε2* |
ε6* ε6* |
ε5* ε5* |
ε* ε* |
ε3* ε3* |
ε7* ε7* |
ε4* ε4* |
-1 -1 |
-ε4* -ε4* |
-ε7* -ε7* |
-ε3* -ε3* |
-ε* -ε* |
-ε5* -ε5* |
-ε6* -ε6* |
-ε2* -ε2* |
-ε2* -ε2* |
-ε6* -ε6* |
-ε5* -ε5* |
-ε* -ε* |
-ε3* -ε3* |
-ε7* -ε7* |
-ε4* -ε4* |
E5u* | 1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
-1 -1 |
-ε5* -ε5* |
-ε5* -ε5* |
-1 -1 |
-ε5* -ε5* |
-ε5* -ε5* |
-1 -1 |
-ε5* -ε5* |
-ε5* -ε5* |
-1 -1 |
-ε5* -ε5* |
-ε5* -ε5* |
-1 -1 |
-ε5* -ε5* |
-ε5* -ε5* |
E6u* | 1 1 |
ε6* ε6* |
ε3* ε3* |
ε3* ε3* |
ε6* ε6* |
1 1 |
ε6* ε6* |
ε3* ε3* |
ε3* ε3* |
ε6* ε6* |
1 1 |
ε6* ε6* |
ε3* ε3* |
ε3* ε3* |
ε6* ε6* |
-1 -1 |
-ε6* -ε6* |
-ε3* -ε3* |
-ε3* -ε3* |
-ε6* -ε6* |
-1 -1 |
-ε6* -ε6* |
-ε3* -ε3* |
-ε3* -ε3* |
-ε6* -ε6* |
-1 -1 |
-ε6* -ε6* |
-ε3* -ε3* |
-ε3* -ε3* |
-ε6* -ε6* |
E7u* | 1 1 |
ε7* ε7* |
ε* ε* |
ε6* ε6* |
ε2* ε2* |
ε5* ε5* |
ε3* ε3* |
ε4* ε4* |
ε4* ε4* |
ε3* ε3* |
ε5* ε5* |
ε2* ε2* |
ε6* ε6* |
ε* ε* |
ε7* ε7* |
-1 -1 |
-ε7* -ε7* |
-ε* -ε* |
-ε6* -ε6* |
-ε2* -ε2* |
-ε5* -ε5* |
-ε3* -ε3* |
-ε4* -ε4* |
-ε4* -ε4* |
-ε3* -ε3* |
-ε5* -ε5* |
-ε2* -ε2* |
-ε6* -ε6* |
-ε* -ε* |
-ε7* -ε7* |
Number of symmetry elements | h = 30 |
Number of classes, irreps | n = 30 |
Number of real-valued irreducible representations | n = 16 |
Abelian group | yes |
Optical Isomerism (Chirality) | no |
Polar | no |
Parity | yes |