480 Uzupełnienia
Poniżej podane są tabele charakterów dla niektórych grup punktowych stosowanych w spektroskopii.
Grupy nieosiowe
Cs |
E ah | ||
A' A" |
1 1 1 -1 |
x. u, Rz Z,., R:r, Ry |
■> 2 2 x,y , z , xy xz, yz |
c, |
i? |
A |
1 |
Ci |
E i | ||
Au |
1 1 1 -1 |
R .,:, R y y R z x, y, z |
x2, y2, z2, xy, xz, yz |
Grupa C2
c2 |
E C2 | ||
A B |
1 1 t -1 |
•Z, Rz x, y, Rj. , Ry |
x2, y2, z2, xy xz, yz |
Grupa D-z
Di |
E CU (z) Ciiy) Ci(x) | ||
A |
1111 |
x2, y2, z2 | |
Bi |
1 1-1-1 |
Z, Rz |
xy |
Bi |
1-1 1-1 |
y> Ry |
xz |
B3 |
1-1-1 1 |
x, Rj: |
yz |
Grupy Cnv
c2v |
E Ci crv(xz) er'v{yz) | ||
A] Ai Bi Bi |
11 1 1 11-1-1 1-1 1-1 1_1-1 1 |
z Rz X, Ry y, R, |
x2, y2. z2 xy xz yz |
C:iv |
E 2 C3 3<7 t; | ||
Ai |
1 1 1 |
z |
x2 + y2, z2 |
a2 E |
1 1 -1 2 -1 0 |
Rz y)\ {R-ti Ry) |
(x2 - y2, xy); (xz, yz) |
Cav |
E 2C4 |
C2 |
2(7,, |
2ff(j | |||
A1 |
1 |
1 |
1 |
1 |
1 |
z |
X2 + 'i/2, z2 |
A2 |
1 |
1 |
1 |
-1 |
-1 |
Rz | |
B1 |
1 |
-1 |
1 |
1 |
-1 |
x2 — y2 | |
B2 |
1 |
-1 |
1 |
-1 |
1 |
xy | |
E |
2 |
0 |
-2 |
0 |
0 |
(.7;, 2/); (.Rx, Ry) |
(xz, yz) |
Cry,; |
E 2C’.r> 2(72 5(7,, | ||
Ai A 2 £2 |
11 11 11 1-1 2 2 cos 72° 2 cos 144° 0 2 2 cos 144° 2 cos 72° 0 |
2' Rz (x, y)\ (Rx, Ry) |
x2 -f y2, Z2 (zz, yz) (x2 - y2, xy) |
O* |
E |
2C6 |
2C3 |
C-2 |
3<r„ |
3cr,< | ||
Ai |
1 |
1 |
1 |
1 |
1 |
1 |
z |
x2 + y2, z2 |
A2 |
1 |
1 |
1 |
1 |
-1 |
-1 |
Rz | |
Bi |
1 |
-1 |
1 |
-1 |
1 |
-1 | ||
b2 |
1 |
-1 |
1 |
-1 |
-1 |
1 | ||
Bi |
2 |
1 |
-1 |
-2 |
0 |
0 |
(x, y): (R,c, Ry) |
(xz, yz) |
b2 |
2 |
-1 |
-1 |
2 |
0 |
0 |
(a;2 - y2, a:y) |
Grupa C2h
C2/ł |
E C-2 i (Th | ||
4, Au Bu |
1111 1-1 1-1 1 1-1-1 1 -1 -1 1 |
H M M | |
0 9 2 ar, y , z , xy xz, yz |