Bilbao Crystallographic Server arrow DGENPOS Help

Symmetry operations of the Double Space Group Im-3 (No. 204)


N Shorthand
notation
Matrix presentation Seitz symbol
(0,0,0)+set
1x,y,z
s+,s-
(
   1   0   0      0
   0   1   0      0
   0   0   1      0
)
(
1 0
0 1
)
{1|0,0,0}
2-x,-y,z
-is+,is-
(
  -1   0   0      0
   0  -1   0      0
   0   0   1      0
)
(
-i 0
0 i
)
{2001|0,0,0}
3-x,y,-z
-s-,s+
(
  -1   0   0      0
   0   1   0      0
   0   0  -1      0
)
(
0 -1
1 0
)
{2010|0,0,0}
4x,-y,-z
-is-,-is+
(
   1   0   0      0
   0  -1   0      0
   0   0  -1      0
)
(
0 -i
-i 0
)
{2100|0,0,0}
5z,x,y
(1-i)s+/2-(1+i)s-/2,(1-i)s+/2+(1+i)s-/2
(
   0   0   1      0
   1   0   0      0
   0   1   0      0
)
(
(1-i)/2 -(1+i)/2
(1-i)/2 (1+i)/2
)
{3+111|0,0,0}
6z,-x,-y
(1+i)s+/2-(1-i)s-/2,(1+i)s+/2+(1-i)s-/2
(
   0   0   1      0
  -1   0   0      0
   0  -1   0      0
)
(
(1+i)/2 -(1-i)/2
(1+i)/2 (1-i)/2
)
{3+111|0,0,0}
7-z,-x,y
(1+i)s+/2+(1-i)s-/2,-(1+i)s+/2+(1-i)s-/2
(
   0   0  -1      0
  -1   0   0      0
   0   1   0      0
)
(
(1+i)/2 (1-i)/2
-(1+i)/2 (1-i)/2
)
{3+111|0,0,0}
8-z,x,-y
(1-i)s+/2+(1+i)s-/2,-(1-i)s+/2+(1+i)s-/2
(
   0   0  -1      0
   1   0   0      0
   0  -1   0      0
)
(
(1-i)/2 (1+i)/2
-(1-i)/2 (1+i)/2
)
{3+111|0,0,0}
9y,z,x
(1+i)s+/2+(1+i)s-/2,-(1-i)s+/2+(1-i)s-/2
(
   0   1   0      0
   0   0   1      0
   1   0   0      0
)
(
(1+i)/2 (1+i)/2
-(1-i)/2 (1-i)/2
)
{3-111|0,0,0}
10-y,z,-x
(1-i)s+/2-(1-i)s-/2,(1+i)s+/2+(1+i)s-/2
(
   0  -1   0      0
   0   0   1      0
  -1   0   0      0
)
(
(1-i)/2 -(1-i)/2
(1+i)/2 (1+i)/2
)
{3-111|0,0,0}
11y,-z,-x
(1+i)s+/2-(1+i)s-/2,(1-i)s+/2+(1-i)s-/2
(
   0   1   0      0
   0   0  -1      0
  -1   0   0      0
)
(
(1+i)/2 -(1+i)/2
(1-i)/2 (1-i)/2
)
{3-111|0,0,0}
12-y,-z,x
(1-i)s+/2+(1-i)s-/2,-(1+i)s+/2+(1+i)s-/2
(
   0  -1   0      0
   0   0  -1      0
   1   0   0      0
)
(
(1-i)/2 (1-i)/2
-(1+i)/2 (1+i)/2
)
{3-111|0,0,0}
13-x,-y,-z
s+,s-
(
  -1   0   0      0
   0  -1   0      0
   0   0  -1      0
)
(
1 0
0 1
)
{1|0,0,0}
14x,y,-z
-is+,is-
(
   1   0   0      0
   0   1   0      0
   0   0  -1      0
)
(
-i 0
0 i
)
{m001|0,0,0}
15x,-y,z
-s-,s+
(
   1   0   0      0
   0  -1   0      0
   0   0   1      0
)
(
0 -1
1 0
)
{m010|0,0,0}
16-x,y,z
-is-,-is+
(
  -1   0   0      0
   0   1   0      0
   0   0   1      0
)
(
0 -i
-i 0
)
{m100|0,0,0}
17-z,-x,-y
(1-i)s+/2-(1+i)s-/2,(1-i)s+/2+(1+i)s-/2
(
   0   0  -1      0
  -1   0   0      0
   0  -1   0      0
)
(
(1-i)/2 -(1+i)/2
(1-i)/2 (1+i)/2
)
{3+111|0,0,0}
18-z,x,y
(1+i)s+/2-(1-i)s-/2,(1+i)s+/2+(1-i)s-/2
(
   0   0  -1      0
   1   0   0      0
   0   1   0      0
)
(
(1+i)/2 -(1-i)/2
(1+i)/2 (1-i)/2
)
{3+111|0,0,0}
19z,x,-y
(1+i)s+/2+(1-i)s-/2,-(1+i)s+/2+(1-i)s-/2
(
   0   0   1      0
   1   0   0      0
   0  -1   0      0
)
(
(1+i)/2 (1-i)/2
-(1+i)/2 (1-i)/2
)
{3+111|0,0,0}
20z,-x,y
(1-i)s+/2+(1+i)s-/2,-(1-i)s+/2+(1+i)s-/2
(
   0   0   1      0
  -1   0   0      0
   0   1   0      0
)
(
(1-i)/2 (1+i)/2
-(1-i)/2 (1+i)/2
)
{3+111|0,0,0}
21-y,-z,-x
(1+i)s+/2+(1+i)s-/2,-(1-i)s+/2+(1-i)s-/2
(
   0  -1   0      0
   0   0  -1      0
  -1   0   0      0
)
(
(1+i)/2 (1+i)/2
-(1-i)/2 (1-i)/2
)
{3-111|0,0,0}
22y,-z,x
(1-i)s+/2-(1-i)s-/2,(1+i)s+/2+(1+i)s-/2
(
   0   1   0      0
   0   0  -1      0
   1   0   0      0
)
(
(1-i)/2 -(1-i)/2
(1+i)/2 (1+i)/2
)
{3-111|0,0,0}
23-y,z,x
(1+i)s+/2-(1+i)s-/2,(1-i)s+/2+(1-i)s-/2
(
   0  -1   0      0
   0   0   1      0
   1   0   0      0
)
(
(1+i)/2 -(1+i)/2
(1-i)/2 (1-i)/2
)
{3-111|0,0,0}
24y,z,-x
(1-i)s+/2+(1-i)s-/2,-(1+i)s+/2+(1+i)s-/2
(
   0   1   0      0
   0   0   1      0
  -1   0   0      0
)
(
(1-i)/2 (1-i)/2
-(1+i)/2 (1+i)/2
)
{3-111|0,0,0}
25x,y,z
-s+,-s-
(
   1   0   0      0
   0   1   0      0
   0   0   1      0
)
(
-1 0
0 -1
)
{d1|0,0,0}
26-x,-y,z
is+,-is-
(
  -1   0   0      0
   0  -1   0      0
   0   0   1      0
)
(
i 0
0 -i
)
{d2001|0,0,0}
27-x,y,-z
s-,-s+
(
  -1   0   0      0
   0   1   0      0
   0   0  -1      0
)
(
0 1
-1 0
)
{d2010|0,0,0}
28x,-y,-z
is-,is+
(
   1   0   0      0
   0  -1   0      0
   0   0  -1      0
)
(
0 i
i 0
)
{d2100|0,0,0}
29z,x,y
-(1-i)s+/2+(1+i)s-/2,-(1-i)s+/2-(1+i)s-/2
(
   0   0   1      0
   1   0   0      0
   0   1   0      0
)
(
-(1-i)/2 (1+i)/2
-(1-i)/2 -(1+i)/2
)
{d3+111|0,0,0}
30z,-x,-y
-(1+i)s+/2+(1-i)s-/2,-(1+i)s+/2-(1-i)s-/2
(
   0   0   1      0
  -1   0   0      0
   0  -1   0      0
)
(
-(1+i)/2 (1-i)/2
-(1+i)/2 -(1-i)/2
)
{d3+111|0,0,0}
31-z,-x,y
-(1+i)s+/2-(1-i)s-/2,(1+i)s+/2-(1-i)s-/2
(
   0   0  -1      0
  -1   0   0      0
   0   1   0      0
)
(
-(1+i)/2 -(1-i)/2
(1+i)/2 -(1-i)/2
)
{d3+111|0,0,0}
32-z,x,-y
-(1-i)s+/2-(1+i)s-/2,(1-i)s+/2-(1+i)s-/2
(
   0   0  -1      0
   1   0   0      0
   0  -1   0      0
)
(
-(1-i)/2 -(1+i)/2
(1-i)/2 -(1+i)/2
)
{d3+111|0,0,0}
33y,z,x
-(1+i)s+/2-(1+i)s-/2,(1-i)s+/2-(1-i)s-/2
(
   0   1   0      0
   0   0   1      0
   1   0   0      0
)
(
-(1+i)/2 -(1+i)/2
(1-i)/2 -(1-i)/2
)
{d3-111|0,0,0}
34-y,z,-x
-(1-i)s+/2+(1-i)s-/2,-(1+i)s+/2-(1+i)s-/2
(
   0  -1   0      0
   0   0   1      0
  -1   0   0      0
)
(
-(1-i)/2 (1-i)/2
-(1+i)/2 -(1+i)/2
)
{d3-111|0,0,0}
35y,-z,-x
-(1+i)s+/2+(1+i)s-/2,-(1-i)s+/2-(1-i)s-/2
(
   0   1   0      0
   0   0  -1      0
  -1   0   0      0
)
(
-(1+i)/2 (1+i)/2
-(1-i)/2 -(1-i)/2
)
{d3-111|0,0,0}
36-y,-z,x
-(1-i)s+/2-(1-i)s-/2,(1+i)s+/2-(1+i)s-/2
(
   0  -1   0      0
   0   0  -1      0
   1   0   0      0
)
(
-(1-i)/2 -(1-i)/2
(1+i)/2 -(1+i)/2
)
{d3-111|0,0,0}
37-x,-y,-z
-s+,-s-
(
  -1   0   0      0
   0  -1   0      0
   0   0  -1      0
)
(
-1 0
0 -1
)
{d1|0,0,0}
38x,y,-z
is+,-is-
(
   1   0   0      0
   0   1   0      0
   0   0  -1      0
)
(
i 0
0 -i
)
{dm001|0,0,0}
39x,-y,z
s-,-s+
(
   1   0   0      0
   0  -1   0      0
   0   0   1      0
)
(
0 1
-1 0
)
{dm010|0,0,0}
40-x,y,z
is-,is+
(
  -1   0   0      0
   0   1   0      0
   0   0   1      0
)
(
0 i
i 0
)
{dm100|0,0,0}
41-z,-x,-y
-(1-i)s+/2+(1+i)s-/2,-(1-i)s+/2-(1+i)s-/2
(
   0   0  -1      0
  -1   0   0      0
   0  -1   0      0
)
(
-(1-i)/2 (1+i)/2
-(1-i)/2 -(1+i)/2
)
{d3+111|0,0,0}
42-z,x,y
-(1+i)s+/2+(1-i)s-/2,-(1+i)s+/2-(1-i)s-/2
(
   0   0  -1      0
   1   0   0      0
   0   1   0      0
)
(
-(1+i)/2 (1-i)/2
-(1+i)/2 -(1-i)/2
)
{d3+111|0,0,0}
43z,x,-y
-(1+i)s+/2-(1-i)s-/2,(1+i)s+/2-(1-i)s-/2
(
   0   0   1      0
   1   0   0      0
   0  -1   0      0
)
(
-(1+i)/2 -(1-i)/2
(1+i)/2 -(1-i)/2
)
{d3+111|0,0,0}
44z,-x,y
-(1-i)s+/2-(1+i)s-/2,(1-i)s+/2-(1+i)s-/2
(
   0   0   1      0
  -1   0   0      0
   0   1   0      0
)
(
-(1-i)/2 -(1+i)/2
(1-i)/2 -(1+i)/2
)
{d3+111|0,0,0}
45-y,-z,-x
-(1+i)s+/2-(1+i)s-/2,(1-i)s+/2-(1-i)s-/2
(
   0  -1   0      0
   0   0  -1      0
  -1   0   0      0
)
(
-(1+i)/2 -(1+i)/2
(1-i)/2 -(1-i)/2
)
{d3-111|0,0,0}
46y,-z,x
-(1-i)s+/2+(1-i)s-/2,-(1+i)s+/2-(1+i)s-/2
(
   0   1   0      0
   0   0  -1      0
   1   0   0      0
)
(
-(1-i)/2 (1-i)/2
-(1+i)/2 -(1+i)/2
)
{d3-111|0,0,0}
47-y,z,x
-(1+i)s+/2+(1+i)s-/2,-(1-i)s+/2-(1-i)s-/2
(
   0  -1   0      0
   0   0   1      0
   1   0   0      0
)
(
-(1+i)/2 (1+i)/2
-(1-i)/2 -(1-i)/2
)
{d3-111|0,0,0}
48y,z,-x
-(1-i)s+/2-(1-i)s-/2,(1+i)s+/2-(1+i)s-/2
(
   0   1   0      0
   0   0   1      0
  -1   0   0      0
)
(
-(1-i)/2 -(1-i)/2
(1+i)/2 -(1+i)/2
)
{d3-111|0,0,0}
(1/2,1/2,1/2)+set


Bilbao Crystallographic Server
http://www.cryst.ehu.es
Licencia de Creative Commons
For comments, please mail to
administrador.bcs@ehu.eus