Bilbao Crystallographic Server MGENPOS General Positions of Magnetic Space Groups Help

## General Positions of the Group Fm'mm (#69.523) 69.523 Fm'mm (UNI symbol)For this space group, BNS and OG settings coincide.Its label in the OG setting is given as: Fm'mm (#69.3.607)

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 x,0,0 +1 { 2100 | 0 }
3 x, -y, z, +1
-mx,my,-mz
 ``` 1 0 0 0 0 -1 0 0 0 0 1 0```
m x,0,z +1 { m010 | 0 }
4 x, y, -z, +1
-mx,-my,mz
 ``` 1 0 0 0 0 1 0 0 0 0 -1 0```
m x,y,0 +1 { m001 | 0 }
5 -x, y, -z, -1
mx,-my,mz
 ``` -1 0 0 0 0 1 0 0 0 0 -1 0``` '
2 0,y,0 -1 { 2'010 | 0 }
6 -x, -y, z, -1
mx,my,-mz
 ``` -1 0 0 0 0 -1 0 0 0 0 1 0``` '
2 0,0,z -1 { 2'001 | 0 }
7 -x, -y, -z, -1
-mx,-my,-mz
 ``` -1 0 0 0 0 -1 0 0 0 0 -1 0``` '
-1 0,0,0 -1 { -1' | 0 }
8 -x, y, z, -1
-mx,my,mz
 ``` -1 0 0 0 0 1 0 0 0 0 1 0``` '
m 0,y,z -1 { m'100 | 0 }
9 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 }
10 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 x,1/4,1/4 +1 { 2100 | 0 1/2 1/2 }
11 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```
c x,1/4,z +1 { m010 | 0 1/2 1/2 }
12 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```
b x,y,1/4 +1 { m001 | 0 1/2 1/2 }
13 -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 (0,1/2,0) 0,y,1/4 -1 { 2'010 | 0 1/2 1/2 }
14 -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 { 2'001 | 0 1/2 1/2 }
15 -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``` '
-1 0,1/4,1/4 -1 { -1' | 0 1/2 1/2 }
16 -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``` '
n (0,1/2,1/2) 0,y,z -1 { m'100 | 0 1/2 1/2 }
17 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```
t (1/2,0,1/2) +1 { 1 | 1/2 0 1/2 }
18 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```
2 (1/2,0,0) x,0,1/4 +1 { 2100 | 1/2 0 1/2 }
19 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 }
20 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```
a x,y,1/4 +1 { m001 | 1/2 0 1/2 }
21 -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``` '
2 1/4,y,1/4 -1 { 2'010 | 1/2 0 1/2 }
22 -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``` '
2 (0,0,1/2) 1/4,0,z -1 { 2'001 | 1/2 0 1/2 }
23 -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``` '
-1 1/4,0,1/4 -1 { -1' | 1/2 0 1/2 }
24 -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 { m'100 | 1/2 0 1/2 }
25 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```
t (1/2,1/2,0) +1 { 1 | 1/2 1/2 0 }
26 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```
2 (1/2,0,0) x,1/4,0 +1 { 2100 | 1/2 1/2 0 }
27 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 }
28 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```
n (1/2,1/2,0) x,y,0 +1 { m001 | 1/2 1/2 0 }
29 -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``` '
2 (0,1/2,0) 1/4,y,0 -1 { 2'010 | 1/2 1/2 0 }
30 -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``` '
2 1/4,1/4,z -1 { 2'001 | 1/2 1/2 0 }
31 -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``` '
-1 1/4,1/4,0 -1 { -1' | 1/2 1/2 0 }
32 -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 { m'100 | 1/2 1/2 0 }

Go to the list of the Wyckoff Positions of the Group Fm'mm (#69.523)
Go to the Systematic Absences for the Group Fm'mm (#69.523)

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