Bilbao Crystallographic Server MGENPOS General Positions of Magnetic Space Groups Help

## General Positions of the Group Abba2 (#41.217) [BNS setting]

To display the general positions in the OG setting, please follow this link: PAm'a'2 ( #28.13.197) [Transformation matrix]

### Black-and-white lattice generators: (1|1,0,0), (1|0,1,0), (1|0,0,1), (1|0,1/2,1/2), (1'|0,0,1/2) , (1'|0,1/2,0)

N Standard/Default Setting
(x,y,z) form Matrix form Geom. interp. Seitz notation
1 x, y, z, +1
mx,my,mz
 ``` 1 0 0 0 0 1 0 0 0 0 1 0```
1 +1 { 1 | 0 }
2 -x, -y, z, +1
-mx,-my,mz
 ``` -1 0 0 0 0 -1 0 0 0 0 1 0```
2 0,0,z +1 { 2001 | 0 }
3 -x+1/2, y, z+1/2, +1
mx,-my,-mz
 ``` -1 0 0 1/2 0 1 0 0 0 0 1 1/2```
c 1/4,y,z +1 { m100 | 1/2 0 1/2 }
4 x+1/2, -y, z+1/2, +1
-mx,my,-mz
 ``` 1 0 0 1/2 0 -1 0 0 0 0 1 1/2```
n (1/2,0,1/2) x,0,z +1 { m010 | 1/2 0 1/2 }
5 x, y+1/2, z+1/2, +1
mx,my,mz
 ``` 1 0 0 0 0 1 0 1/2 0 0 1 1/2```
t (0,1/2,1/2) +1 { 1 | 0 1/2 1/2 }
6 -x, -y+1/2, z+1/2, +1
-mx,-my,mz
 ``` -1 0 0 0 0 -1 0 1/2 0 0 1 1/2```
2 (0,0,1/2) 0,1/4,z +1 { 2001 | 0 1/2 1/2 }
7 -x+1/2, y+1/2, z, +1
mx, -my, -mz
 ``` -1 0 0 1/2 0 1 0 1/2 0 0 1 0```
b 1/4,y,z +1 { m100 | 1/2 1/2 0 }
8 x+1/2, -y+1/2, z, +1
-mx, my, -mz
 ``` 1 0 0 1/2 0 -1 0 1/2 0 0 1 0```
a x,1/4,z +1 { m010 | 1/2 1/2 0 }
9 x, y, z+1/2, -1
-mx,-my,-mz
 ``` 1 0 0 0 0 1 0 0 0 0 1 1/2``` '
t (0,0,1/2) -1 { 1' | 0 0 1/2 }
10 -x, -y, z+1/2, -1
mx,my,-mz
 ``` -1 0 0 0 0 -1 0 0 0 0 1 1/2``` '
2 (0,0,1/2) 0,0,z -1 { 2'001 | 0 0 1/2 }
11 -x+1/2, y, z, -1
-mx,my,mz
 ``` -1 0 0 1/2 0 1 0 0 0 0 1 0``` '
m 1/4,y,z -1 { m'100 | 1/2 0 0 }
12 x+1/2, -y, z, -1
mx,-my,mz
 ``` 1 0 0 1/2 0 -1 0 0 0 0 1 0``` '
a x,0,z -1 { m'010 | 1/2 0 0 }
13 x, y+1/2, z, -1
-mx, -my, -mz
 ``` 1 0 0 0 0 1 0 1/2 0 0 1 0``` '
t (0,1/2,0) -1 { 1' | 0 1/2 0 }
14 -x, -y+1/2, z, -1
mx, my, -mz
 ``` -1 0 0 0 0 -1 0 1/2 0 0 1 0``` '
2 0,1/4,z -1 { 2'001 | 0 1/2 0 }
15 -x+1/2, y+1/2, z+1/2, -1
-mx,my,mz
 ``` -1 0 0 1/2 0 1 0 1/2 0 0 1 1/2``` '
n (0,1/2,1/2) 1/4,y,z -1 { m'100 | 1/2 1/2 1/2 }
16 x+1/2, -y+1/2, z+1/2, -1
mx,-my,mz
 ``` 1 0 0 1/2 0 -1 0 1/2 0 0 1 1/2``` '
n (1/2,0,1/2) x,1/4,z -1 { m'010 | 1/2 1/2 1/2 }

Go to the list of the Wyckoff Positions of the Group Abba2 (#41.217)
Go to the Systematic Absences for the Group Abba2 (#41.217)

 Bilbao Crystallographic Serverhttp://www.cryst.ehu.es
For comments, please mail to
administrador.bcs@ehu.eus