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c6 - Point Group Symmetry Character Tables
C6 Point Group
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Abelian, 4(6) irreducible representations |
Subgroups of C6 point group: C2, C3 | Character table for C6 point group
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E
| C6
| C3
| C2
| (C3)2
| (C6)5
| linear, rotations
| quadratic
|
A |
1 |
1 |
1 |
1 |
1 |
1 |
z, Rz |
x2+y2, z2 |
B |
1 |
-1 |
1 |
-1 |
1 |
-1 |
|
|
E1 |
1 1 |
e e* |
-e* -e |
-1 -1 |
-e -e* |
e* e |
x+iy; Rx+iRy x-iy; Rx-iRy |
(xz, yz) |
E2 |
1 1 |
-e* -e |
-e -e* |
1 1 |
-e* -e |
-e -e* |
|
(x2-y2, xy) |
e = exp(πi/3)
Product table for C6 point group | A | B | E1 | E2 |
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A | A | B | E1 | E2 |
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B | B | A | E2 | E1 |
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E1 | E1 | E2 | 2A+E2 | 2B+E1 |
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E2 | E2 | E1 | 2B+E1 | 2A+E2 |
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