Bilbao Crystallographic Server MGENPOS General Positions of Magnetic Space Groups Help

## General Positions of the Group I4m'm' (#107.231) For this space group, BNS and OG settings coincide.Its label in the OG setting is given as: I4m'm' (#107.5.887)

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 -y, x, z, +1
-my,mx,mz
 ``` 0 -1 0 0 1 0 0 0 0 0 1 0```
4+ 0,0,z +1 { 4+001 | 0 }
3 y, -x, z, +1
my,-mx,mz
 ``` 0 1 0 0 -1 0 0 0 0 0 1 0```
4- 0,0,z +1 { 4-001 | 0 }
4 -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 }
5 -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 }
6 x, -y, z, -1
mx,-my,mz
 ``` 1 0 0 0 0 -1 0 0 0 0 1 0``` '
m x,0,z -1 { m'010 | 0 }
7 -y, -x, z, -1
-my,-mx,mz
 ``` 0 -1 0 0 -1 0 0 0 0 0 1 0``` '
m x,-x,z -1 { m'110 | 0 }
8 y, x, z, -1
my,mx,mz
 ``` 0 1 0 0 1 0 0 0 0 0 1 0``` '
m x,x,z -1 { m'1-10 | 0 }
9 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```
t (1/2,1/2,1/2) +1 { 1 | 1/2 1/2 1/2 }
10 -y+1/2, x+1/2, z+1/2, +1
-my,mx,mz
 ``` 0 -1 0 1/2 1 0 0 1/2 0 0 1 1/2```
4+ (0,0,1/2) 0,1/2,z +1 { 4+001 | 1/2 1/2 1/2 }
11 y+1/2, -x+1/2, z+1/2, +1
my,-mx,mz
 ``` 0 1 0 1/2 -1 0 0 1/2 0 0 1 1/2```
4- (0,0,1/2) 1/2,0,z +1 { 4-001 | 1/2 1/2 1/2 }
12 -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```
2 (0,0,1/2) 1/4,1/4,z +1 { 2001 | 1/2 1/2 1/2 }
13 -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 }
14 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 }
15 -y+1/2, -x+1/2, z+1/2, -1
-my,-mx,mz
 ``` 0 -1 0 1/2 -1 0 0 1/2 0 0 1 1/2``` '
c x+1/2,-x,z -1 { m'110 | 1/2 1/2 1/2 }
16 y+1/2, x+1/2, z+1/2, -1
my,mx,mz
 ``` 0 1 0 1/2 1 0 0 1/2 0 0 1 1/2``` '
n (1/2,1/2,1/2) x,x,z -1 { m'1-10 | 1/2 1/2 1/2 }

Go to the list of the Wyckoff Positions of the Group I4m'm' (#107.231)
Go to the Systematic Absences for the Group I4m'm' (#107.231)

 Bilbao Crystallographic Serverhttp://www.cryst.ehu.es