Magnetic Aizu species
MAGNETIC POINT GROUP  No. 29: m31'
CHARACTERS| m31' | 1 | 2z | 1 | mz | 3xyz | 32xyz | 3xyz | 32xyz | 1' | 2z' | 1' | mz' | 3xyz' | 32xyz' | 3xyz' | 32xyz' | Vector | Bidirector |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Ag | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | ||
| Eg | 2 | 2 | 2 | 2 | -1 | -1 | -1 | -1 | 2 | 2 | 2 | 2 | -1 | -1 | -1 | -1 | ||
| Tg | 3 | -1 | 3 | -1 | 0 | 0 | 0 | 0 | 3 | -1 | 3 | -1 | 0 | 0 | 0 | 0 |
{ |
|
| Au | 1 | 1 | -1 | -1 | 1 | 1 | -1 | -1 | 1 | 1 | -1 | -1 | 1 | 1 | -1 | -1 | ||
| Eu | 2 | 2 | -2 | -2 | -1 | -1 | 1 | 1 | 2 | 2 | -2 | -2 | -1 | -1 | 1 | 1 | ||
| Tu | 3 | -1 | -3 | 1 | 0 | 0 | 0 | 0 | 3 | -1 | -3 | 1 | 0 | 0 | 0 | 0 |
{ |
|
| mAg | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | ||
| mEg | 2 | 2 | 2 | 2 | -1 | -1 | -1 | -1 | -2 | -2 | -2 | -2 | 1 | 1 | 1 | 1 | ||
| mTg | 3 | -1 | 3 | -1 | 0 | 0 | 0 | 0 | -3 | 1 | -3 | 1 | 0 | 0 | 0 | 0 |
{ |
|
| mAu | 1 | 1 | -1 | -1 | 1 | 1 | -1 | -1 | -1 | -1 | 1 | 1 | -1 | -1 | 1 | 1 | ||
| mEu | 2 | 2 | -2 | -2 | -1 | -1 | 1 | 1 | -2 | -2 | 2 | 2 | 1 | 1 | -1 | -1 | ||
| mTu | 3 | -1 | -3 | 1 | 0 | 0 | 0 | 0 | -3 | 1 | 3 | -1 | 0 | 0 | 0 | 0 |
{ |
PROPERTY TENSORS