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D4d 점군에 대한 지표표
|
E |
2S8 |
2C4 |
2(S8)3 |
C2 |
4C'2 |
4σd |
linear,
rotations |
quadratic |
| A1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
|
x2+y2, z2 |
| A2 |
1 |
1 |
1 |
1 |
1 |
-1 |
-1 |
Rz |
|
| B1 |
1 |
-1 |
1 |
-1 |
1 |
1 |
-1 |
|
|
| B2 |
1 |
-1 |
1 |
-1 |
1 |
-1 |
1 |
z |
|
| E1 |
2 |
(2)1/2 |
0 |
-(2)1/2 |
-2 |
0 |
0 |
(x, y) |
|
| E2 |
2 |
0 |
-2 |
0 |
2 |
0 |
0 |
|
(x2-y2, xy) |
| E3 |
2 |
-(2)1/2 |
0 |
(2)1/2 |
-2 |
0 |
0 |
(Rx, Ry) |
(xz, yz) |
D4d 점군의 곱셈표| | A1 | A2 | B1 | B2 | E1 | E2 | E3 |
|---|
| A1 | A1 | A2 | B1 | B2 | E1 | E2 | E3 |
|---|
| A2 | A2 | A1 | B2 | B1 | E1 | E2 | E3 |
|---|
| B1 | B1 | B2 | A1 | A2 | E3 | E2 | E1 |
|---|
| B2 | B2 | B1 | A2 | A1 | E3 | E2 | E1 |
|---|
| E1 | E1 | E1 | E3 | E3 | A1+A2+E2 | E1+E3 | B1+B2+E2 |
|---|
| E2 | E2 | E2 | E2 | E2 | E1+E3 | A1+A2+B1+B2 | E1+E3 |
|---|
| E3 | E3 | E3 | E1 | E1 | B1+B2+E2 | E1+E3 | A1+A2+E2 |
|---|
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