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D6 Point Group
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not Abelian, 6(8) irreducible representations |
Subgroups of D6 point group: C2, C3, C6, D2, D3 | Character table for D6 point group
|
E |
2C6 (z) |
2C3 (z) |
C2 (z) |
3C'2 |
3C''2 |
linear, rotations |
quadratic |
A1 |
1 |
1 |
1 |
1 |
1 |
1 |
|
x2+y2, z2 |
A2 |
1 |
1 |
1 |
1 |
-1 |
-1 |
z, Rz |
|
B1 |
1 |
-1 |
1 |
-1 |
1 |
-1 |
|
|
B2 |
1 |
-1 |
1 |
-1 |
-1 |
1 |
|
|
E1 |
2 |
1 |
-1 |
-2 |
0 |
0 |
(x, y) (Rx, Ry) |
(xz, yz) |
E2 |
2 |
-1 |
-1 |
2 |
0 |
0 |
|
(x2-y2, xy) |
Product table for D6 point group | A1 | A2 | B1 | B2 | E1 | E2 |
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A1 | A1 | A2 | B1 | B2 | E1 | E2 |
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A2 | A2 | A1 | B2 | B1 | E1 | E2 |
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B1 | B1 | B2 | A1 | A2 | E2 | E1 |
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B2 | B2 | B1 | A2 | A1 | E2 | E1 |
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E1 | E1 | E1 | E2 | E2 | A1+A2+E2 | B1+B2+E1 |
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E2 | E2 | E2 | E1 | E1 | B1+B2+E1 | A1+A2+E2 |
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