Bilbao Crystallographic Server MGENPOS General Positions of Magnetic Space Groups Help

## General Positions of the Group PCmmn (#59.415) [BNS setting]

59.415 Pmmn.1'C[Cmmm] (UNI symbol)

To display the general positions in the OG setting, please follow this link: CPmmm' ( #65.14.558) [Transformation matrix]

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

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+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 { 2100 | 1/2 0 0 }
3 -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 { 2010 | 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 -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 { m100 | 1/2 0 0 }
7 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 { m010 | 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+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 }
10 x, -y+1/2, -z, -1
-mx,my,mz
 ``` 1 0 0 0 0 -1 0 1/2 0 0 -1 0``` '
2 x,1/4,0 -1 { 2'100 | 0 1/2 0 }
11 -x+1/2, y, -z, -1
mx,-my,mz
 ``` -1 0 0 1/2 0 1 0 0 0 0 -1 0``` '
2 1/4,y,0 -1 { 2'010 | 1/2 0 0 }
12 -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 }
13 -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 }
14 -x, y+1/2, z, -1
-mx,my,mz
 ``` -1 0 0 0 0 1 0 1/2 0 0 1 0``` '
b 0,y,z -1 { m'100 | 0 1/2 0 }
15 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 }
16 x, y, -z, -1
mx,my,-mz
 ``` 1 0 0 0 0 1 0 0 0 0 -1 0``` '
m x,y,0 -1 { m'001 | 0 }

Go to the list of the Wyckoff Positions of the Group PCmmn (#59.415)
Go to the Systematic Absences for the Group PCmmn (#59.415)

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