Magnetic Aizu species
MAGNETIC POINT GROUP  No. 27: 6/mmm1'
CHARACTERS6/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 |
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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 |
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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 |
{ |
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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 |
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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 |
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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 |
{ |
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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 |
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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 |
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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 |
{ |
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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 |
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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 |
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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 |
{ |
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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

