Bilbao Crystallographic Server MGENPOS General Positions of Magnetic Space Groups Help

## General Positions of the Group P4/nm'm' (#129.417) For this space group, BNS and OG settings coincide.Its label in the OG setting is given as: P4/nm'm' (#129.7.1081)

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+1/2, x, z, +1
-my,mx,mz
 ``` 0 -1 0 1/2 1 0 0 0 0 0 1 0```
4+ 1/4,1/4,z +1 { 4+001 | 1/2 0 0 }
3 y, -x+1/2, z, +1
my,-mx,mz
 ``` 0 1 0 0 -1 0 0 1/2 0 0 1 0```
4- 1/4,1/4,z +1 { 4-001 | 0 1/2 0 }
4 -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 { 2001 | 1/2 1/2 0 }
5 -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 }
6 y+1/2, -x, -z, +1
-my,mx,mz
 ``` 0 1 0 1/2 -1 0 0 0 0 0 -1 0```
-4+ 1/4,-1/4,z 1/4,-1/4,0 +1 { -4+001 | 1/2 0 0 }
7 -y, x+1/2, -z, +1
my,-mx,mz
 ``` 0 -1 0 0 1 0 0 1/2 0 0 -1 0```
-4- -1/4,1/4,z -1/4,1/4,0 +1 { -4-001 | 0 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```
n (1/2,1/2,0) x,y,0 +1 { m001 | 1/2 1/2 0 }
9 x+1/2, -y, -z, -1
-mx,my,mz
 ``` 1 0 0 1/2 0 -1 0 0 0 0 -1 0``` '
2 (1/2,0,0) x,0,0 -1 { 2'100 | 1/2 0 0 }
10 -x, y+1/2, -z, -1
mx,-my,mz
 ``` -1 0 0 0 0 1 0 1/2 0 0 -1 0``` '
2 (0,1/2,0) 0,y,0 -1 { 2'010 | 0 1/2 0 }
11 y+1/2, x+1/2, -z, -1
-my,-mx,mz
 ``` 0 1 0 1/2 1 0 0 1/2 0 0 -1 0``` '
2 (1/2,1/2,0) x,x,0 -1 { 2'110 | 1/2 1/2 0 }
12 -y, -x, -z, -1
my,mx,mz
 ``` 0 -1 0 0 -1 0 0 0 0 0 -1 0``` '
2 x,-x,0 -1 { 2'1-10 | 0 }
13 -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 }
14 x, -y+1/2, z, -1
mx,-my,mz
 ``` 1 0 0 0 0 -1 0 1/2 0 0 1 0``` '
m x,1/4,z -1 { m'010 | 0 1/2 0 }
15 -y+1/2, -x+1/2, z, -1
-my,-mx,mz
 ``` 0 -1 0 1/2 -1 0 0 1/2 0 0 1 0``` '
m x+1/2,-x,z -1 { m'110 | 1/2 1/2 0 }
16 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 }

Go to the list of the Wyckoff Positions of the Group P4/nm'm' (#129.417)
Go to the Systematic Absences for the Group P4/nm'm' (#129.417)

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