Magnetic Aizu species
MAGNETIC POINT GROUP  No. 27: 6/mmm1'
CHARACTERS| 6/mmm1' | 1 | 2z | 3z | 6z | 1 | mz | 3z | 6z | 2x | 2y | mx | my | 1' | 2z' | 3z' | 6z' | 1' | mz' | 3z' | 6z' | 2x' | 2y' | mx' | my' | Vector | Bidirector |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A1g | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
|
|
| A2g | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 |
|
|
| B1g | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | ||
| B2g | 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 | 2 | -2 | -1 | 1 | 2 | -2 | -1 | 1 | 0 | 0 | 0 | 0 | 2 | -2 | -1 | 1 | 2 | -2 | -1 | 1 | 0 | 0 | 0 | 0 |
{ |
|
| E2g | 2 | 2 | -1 | -1 | 2 | 2 | -1 | -1 | 0 | 0 | 0 | 0 | 2 | 2 | -1 | -1 | 2 | 2 | -1 | -1 | 0 | 0 | 0 | 0 | ||
| A1u | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | 1 | 1 | -1 | -1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | 1 | 1 | -1 | -1 |
|
|
| A2u | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | 1 |
|
|
| B1u | 1 | -1 | 1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | -1 | 1 | 1 | -1 | 1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | -1 | 1 | ||
| B2u | 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 | 2 | -2 | -1 | 1 | -2 | 2 | 1 | -1 | 0 | 0 | 0 | 0 | 2 | -2 | -1 | 1 | -2 | 2 | 1 | -1 | 0 | 0 | 0 | 0 |
{ |
|
| E2u | 2 | 2 | -1 | -1 | -2 | -2 | 1 | 1 | 0 | 0 | 0 | 0 | 2 | 2 | -1 | -1 | -2 | -2 | 1 | 1 | 0 | 0 | 0 | 0 | ||
| mA1g | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 |
|
|
| mA2g | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 1 |
|
|
| mB1g | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | ||
| mB2g | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | -1 | ||
| mE1g | 2 | -2 | -1 | 1 | 2 | -2 | -1 | 1 | 0 | 0 | 0 | 0 | -2 | 2 | 1 | -1 | -2 | 2 | 1 | -1 | 0 | 0 | 0 | 0 |
{ |
|
| mE2g | 2 | 2 | -1 | -1 | 2 | 2 | -1 | -1 | 0 | 0 | 0 | 0 | -2 | -2 | 1 | 1 | -2 | -2 | 1 | 1 | 0 | 0 | 0 | 0 | ||
| mA1u | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 1 | -1 | -1 | 1 | 1 |
|
|
| mA2u | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | 1 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 |
|
|
| mB1u | 1 | -1 | 1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | -1 | 1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | -1 | -1 | 1 | 1 | -1 | ||
| mB2u | 1 | -1 | 1 | -1 | -1 | 1 | -1 | 1 | -1 | 1 | 1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | -1 | 1 | -1 | -1 | 1 | ||
| mE1u | 2 | -2 | -1 | 1 | -2 | 2 | 1 | -1 | 0 | 0 | 0 | 0 | -2 | 2 | 1 | -1 | 2 | -2 | -1 | 1 | 0 | 0 | 0 | 0 |
{ |
|
| mE2u | 2 | 2 | -1 | -1 | -2 | -2 | 1 | 1 | 0 | 0 | 0 | 0 | -2 | -2 | 1 | 1 | 2 | 2 | -1 | -1 | 0 | 0 | 0 | 0 |
PROPERTY TENSORS