Magnetic Aizu species
MAGNETIC POINT GROUP No. 32: m3m1'
CHARACTERS| m3m1' | 1 | 2z | 1 | mz | 3xyz | 3xyz | 4z | 4z | 2xy | mxy | 1' | 2z' | 1' | mz' | 3xyz' | 3xyz' | 4z' | 4z' | 2xy' | mxy' | Vector | Bidirector |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Ag | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | ||
| Bg | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | ||
| Eg | 2 | 2 | 2 | 2 | -1 | -1 | 0 | 0 | 0 | 0 | 2 | 2 | 2 | 2 | -1 | -1 | 0 | 0 | 0 | 0 | ||
| T1g | 3 | -1 | 3 | -1 | 0 | 0 | 1 | 1 | -1 | -1 | 3 | -1 | 3 | -1 | 0 | 0 | 1 | 1 | -1 | -1 |
{ x ,y ,z } |
|
| T2g | 3 | -1 | 3 | -1 | 0 | 0 | -1 | -1 | 1 | 1 | 3 | -1 | 3 | -1 | 0 | 0 | -1 | -1 | 1 | 1 | ||
| Au | 1 | 1 | -1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | 1 | -1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | ||
| Bu | 1 | 1 | -1 | -1 | 1 | -1 | -1 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | 1 | -1 | -1 | 1 | -1 | 1 | ||
| Eu | 2 | 2 | -2 | -2 | -1 | 1 | 0 | 0 | 0 | 0 | 2 | 2 | -2 | -2 | -1 | 1 | 0 | 0 | 0 | 0 | ||
| T1u | 3 | -1 | -3 | 1 | 0 | 0 | 1 | -1 | -1 | 1 | 3 | -1 | -3 | 1 | 0 | 0 | 1 | -1 | -1 | 1 |
{ x ,y ,z } |
|
| T2u | 3 | -1 | -3 | 1 | 0 | 0 | -1 | 1 | 1 | -1 | 3 | -1 | -3 | 1 | 0 | 0 | -1 | 1 | 1 | -1 | ||
| mAg | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | ||
| mBg | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 1 | ||
| mEg | 2 | 2 | 2 | 2 | -1 | -1 | 0 | 0 | 0 | 0 | -2 | -2 | -2 | -2 | 1 | 1 | 0 | 0 | 0 | 0 | ||
| mT1g | 3 | -1 | 3 | -1 | 0 | 0 | 1 | 1 | -1 | -1 | -3 | 1 | -3 | 1 | 0 | 0 | -1 | -1 | 1 | 1 |
{ x ,y ,z } |
|
| mT2g | 3 | -1 | 3 | -1 | 0 | 0 | -1 | -1 | 1 | 1 | -3 | 1 | -3 | 1 | 0 | 0 | 1 | 1 | -1 | -1 | ||
| mAu | 1 | 1 | -1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | -1 | -1 | 1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | ||
| mBu | 1 | 1 | -1 | -1 | 1 | -1 | -1 | 1 | -1 | 1 | -1 | -1 | 1 | 1 | -1 | 1 | 1 | -1 | 1 | -1 | ||
| mEu | 2 | 2 | -2 | -2 | -1 | 1 | 0 | 0 | 0 | 0 | -2 | -2 | 2 | 2 | 1 | -1 | 0 | 0 | 0 | 0 | ||
| mT1u | 3 | -1 | -3 | 1 | 0 | 0 | 1 | -1 | -1 | 1 | -3 | 1 | 3 | -1 | 0 | 0 | -1 | 1 | 1 | -1 |
{ x ,y ,z } |
|
| mT2u | 3 | -1 | -3 | 1 | 0 | 0 | -1 | 1 | 1 | -1 | -3 | 1 | 3 | -1 | 0 | 0 | 1 | -1 | -1 | 1 |
PROPERTY TENSORS
