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d6 - Point Group Symmetry Character Tables
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
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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 |
|---|
| A1 | A1 | A2 | B1 | B2 | E1 | E2 |
|---|
| A2 | A2 | A1 | B2 | B1 | E1 | E2 |
|---|
| B1 | B1 | B2 | A1 | A2 | E2 | E1 |
|---|
| B2 | B2 | B1 | A2 | A1 | E2 | E1 |
|---|
| E1 | E1 | E1 | E2 | E2 | A1+A2+E2 | B1+B2+E1 |
|---|
| E2 | E2 | E2 | E1 | E1 | B1+B2+E1 | A1+A2+E2 |
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