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Td Point Group
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| not Abelian, 5(10) irreducible representations |
Character table for Td point group
|
E |
8C3 |
3C2 |
6S4 |
6σd |
linear,
rotations |
quadratic |
| A1 |
1 |
1 |
1 |
1 |
1 |
|
x2+y2+z2 |
| A2 |
1 |
1 |
1 |
-1 |
-1 |
|
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| E |
2 |
-1 |
2 |
0 |
0 |
|
(2z2-x2-y2, x2-y2) |
| T1 |
3 |
0 |
-1 |
1 |
-1 |
(Rx, Ry, Rz) |
|
| T2 |
3 |
0 |
-1 |
-1 |
1 |
(x, y, z) |
(xy, xz, yz) |
Product table for Td point group| | A1 | A2 | E | T1 | T2 |
|---|
| A1 | A1 | A2 | E | T1 | T2 |
|---|
| A2 | A2 | A1 | E | T2 | T1 |
|---|
| E | E | E | A1+A2+E | T1+T2 | T1+T2 |
|---|
| T1 | T1 | T2 | T1+T2 | A1+E+T1+T2 | A2+E+T1+T2 |
|---|
| T2 | T2 | T1 | T1+T2 | A2+E+T1+T2 | A1+E+T1+T2 |
|---|
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