482
Uzupełnienia
Grupy Dnh
D‘2h |
E |
C2(z) C2(y) C2(x) |
i |
a(xy) |
o {xz) |
a{yz) | ||||
4, |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
x2, y2, z2 | |
Bly |
1 |
1 |
-1 |
-1 |
1 |
1 |
-1 |
-1 |
Rz |
xy |
B-2 g |
1 |
-1 |
1 |
-1 |
1 |
-1 |
1 |
-1 |
Ry |
xz |
B’ig |
1 |
-1 |
-1 |
1 |
1 |
-1 |
-1 |
1 |
R, |
yz |
Au |
1 |
] |
1 |
1 |
-1 |
-1 |
-.1 |
-1 | ||
B\u |
1 |
1 |
-1 |
-1 |
-1 |
-1 |
1 |
1 |
z | |
B'2u |
1 |
-1 |
1 |
-1 |
-1 |
1 |
-1 |
1 |
y | |
B,u |
1 |
-1 |
-1 |
1 |
-1 |
1 |
1 |
-1 |
X |
Ihh |
E 2 C4 |
C2 |
2CJ |
2 C!J |
i |
2 S4 |
<7h |
2av |
2(7 d | |||
A i n |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
x2 4- li2, z2 | |
Al,) |
1 |
1 |
1 |
-i |
-1 |
1 |
1 |
1 |
-1 |
-1 |
Rz | |
B\g |
1 |
-1 |
1 |
1 |
-1 |
1 |
-1 |
1 |
1 |
-1 |
x2 — y2 | |
B‘2g |
1 |
-1 |
1 |
-1 |
1 |
1 |
-1 |
1 |
-1 |
1 |
xy | |
2 |
0 |
-2 |
0 |
0 |
2 |
0 |
-2 |
0 |
0 |
{Rx, Ry) |
(xz, yz) | |
-4] v. |
1 |
1 |
1 |
1 |
1 |
-1 |
-1 |
-1 |
-1 |
-1 | ||
A-2u |
1 |
1 |
1 |
-1 |
-1 |
-1 |
-1 |
-1 |
1 |
1 |
A/ | |
B\u |
1 |
-1 |
1 |
1 |
-1 |
-1 |
1 |
-1 |
-1 |
1 | ||
B‘2u |
1 |
-1 |
1 |
-1 |
1 |
-1 |
1 |
-1 |
1 |
-1 | ||
Eu |
2 |
0 |
-2 |
0 |
0 |
-2 |
0 |
2 |
0 |
0 |
(x, y) |
U2. Tabele charakterów wybranych grup punktowych
483
D5
'5 h
E 2 C5
2S5
5o\.
11 1 1 1 1 1 1 1 -1 1 1 2 2 cos 72° 2 cos 144° 0 2 2 cos 72
2 2 cos 144° 2 cos 72c 1 1 1
1 1 1
1
1
2 cos 144° 2 cos 72° -1 -1
—2 cos 144‘
1
-1
0
0
-1
1
’ 0 0
Rz
(®. y)
x2Ey\
(x2-y2,
0 2 2 cos 144c
1 -1 -1
-i -1 -1
2 2 cos 72° 2 cos 144° 0 —2 —2 cos 72
(Rx, Ry) (xz, yz)
Mg
Mn
Mi Ei g
E‘2g
2 2cos 144 z cos (z u * E 2Ce 1 Ci Ci 3 3C" |
i 25:3 256 |
(7)i i&d 3C-U |
----- 0 0 O | ||||||||||
1 |
1 |
1 |
L |
1 |
1 |
1 |
1 1 |
1 |
1 |
1 |
x + y , |
Z | |
1 |
1 |
1 |
1 |
-1 |
-1 |
1 |
1 1 |
1 |
-1 |
-i |
Rz | ||
1 |
-1 |
1 - |
-1 |
1 |
-1 |
1 |
-1 1 -1 |
i |
-1 | ||||
1 |
-1 |
1 - |
-1 |
1 |
1 |
-1 |
-1 |
-1 |
1 |
(xz, yz) (x2-y2, | |||
2 2 |
1 -1 |
-i -1 |
-2 2 |
0 0 |
0 0 |
2 2 |
1 --1 - |
1 —2 1 2 |
0 0 |
0 0 |
xy) | ||
1 |
1 |
1 |
1 |
1 |
1 |
-1 |
-1 - |
L -1 |
-1 |
-1 | |||
1 |
1 |
1 |
1 |
-1 |
-1 |
-1 |
-1 - |
1 -1 |
1 |
1 |
Z | ||
1 |
-1 |
1 |
-1 |
1 |
-1 |
-1 |
1 - |
1 1 |
-1 |
1 | |||
. 1 |
-1 |
1 |
-i |
-1 |
1 |
— L |
1 - |
1 1 |
1 |
-1 | |||
, 2 |
1 |
-1 |
—2 |
0 |
0 |
—2 |
-1 |
l 2 |
0 |
0 |
0X, y) | ||
1 2 |
-1 |
-1 |
2 |
0 |
0 |
-2 |
1 |
1 -2 |
0 |
0 |
— |
Grupy Dnd
D2a |
E 2 S.\ C2 2 C2 2 crd | ||
A) a2 Bi b2 E |
111 11 1 11-1-1 1-11 1-1 1-1 1-1 1 2 0 -2 0 0 |
Rz Z Cx, y); (R,r< Ry) |
x2 + y2, 'z2 x2 - y2 xy (xz, yz) -_____—* |