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D5 Point Group
|
| not Abelian, 4(6) irreducible representations | |
Subgroups of D5 point group: C2, C5 |
Character table for D5 point group
|
E |
2C5 (z) |
2(C5)2 |
5C'2 |
linear,
rotations |
quadratic |
| A1 |
1 |
1 |
1 |
1 |
|
x2+y2, z2 |
| A2 |
1 |
1 |
1 |
-1 |
z, Rz |
|
| E1 |
2 |
2cos(2π/5) |
2cos(4π/5) |
0 |
(x, y) (Rx, Ry) |
(xz, yz) |
| E2 |
2 |
2cos(4π/5) |
2cos(2π/5) |
0 |
|
|
Product table for D5 point group| | A1 | A2 | E1 | E2 |
|---|
| A1 | A1 | A2 | E1 | E2 |
|---|
| A2 | A2 | A1 | E2 | E1 |
|---|
| E1 | E1 | E2 | A1+A2+E2 | E1+E2 |
|---|
| E2 | E2 | E1 | E1+E2 | A1+A2+E2 |
|---|
|
