Bilbao Crystallographic Server arrow MGENPOS arrow Table of Magnetic Space Group Symbols Help

P2c4'/nmm' [#129.12.1086] (Type: 4 -- Type IV (klassengleiche))

[BNS: Pc42/nmc] #137.516

Operators of Group 129.12.1086 (P2c4'/nmm')

1.x,y,z
mx,my,mz
( 
  1   0   0     0
  0   1   0     0
  0   0   1     0
 )
1 +1 {1|0,0,0}
2.x+1/2,-y,-z
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 {2x|1/2,0,0}
3.-x,y+1/2,-z
-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 {2y|0,1/2,0}
4.-x+1/2,-y+1/2,z
-mx,-my,mz
( 
 -1   0   0   1/2
  0  -1   0   1/2
  0   0   1     0
 )
2 1/4,1/4,z +1 {2z|1/2,1/2,0}
5.-y,-x,-z+1
-my,-mx,-mz
( 
  0  -1   0     0
 -1   0   0     0
  0   0  -1     1
 )
2 x,-x,1/2 +1 {2-xy|0,0,1}
6.-y+1/2,x,z+1
-my,mx,mz
( 
  0  -1   0   1/2
  1   0   0     0
  0   0   1     1
 )
4+ (0,0,1) 1/4,1/4,z +1 {4z|1/2,0,1}
7.y,-x+1/2,z+1
my,-mx,mz
( 
  0   1   0     0
 -1   0   0   1/2
  0   0   1     1
 )
4- (0,0,1) 1/4,1/4,z +1 {4z-1|0,1/2,1}
8.y+1/2,x+1/2,-z+1
my,mx,-mz
( 
  0   1   0   1/2
  1   0   0   1/2
  0   0  -1     1
 )
2 (1/2,1/2,0) x,x,1/2 +1 {2xy|1/2,1/2,1}
9.-x,-y,-z
mx,my,mz
( 
 -1   0   0     0
  0  -1   0     0
  0   0  -1     0
 )
-1 0,0,0 +1 {-1|0,0,0}
10.-x+1/2,y,z
mx,-my,-mz
( 
 -1   0   0   1/2
  0   1   0     0
  0   0   1     0
 )
m 1/4,y,z +1 {mx|1/2,0,0}
11.x,-y+1/2,z
-mx,my,-mz
( 
  1   0   0     0
  0  -1   0   1/2
  0   0   1     0
 )
m x,1/4,z +1 {my|0,1/2,0}
12.x+1/2,y+1/2,-z
-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 {mz|1/2,1/2,0}
13.y,x,z+1
-my,-mx,-mz
( 
  0   1   0     0
  1   0   0     0
  0   0   1     1
 )
g (0,0,1) x,x,z +1 {m-xy|0,0,1}
14.y+1/2,-x,-z+1
-my,mx,mz
( 
  0   1   0   1/2
 -1   0   0     0
  0   0  -1     1
 )
-4+ 1/4,-1/4,z; 1/4,-1/4,1/2 +1 {-4z|1/2,0,1}
15.-y,x+1/2,-z+1
my,-mx,mz
( 
  0  -1   0     0
  1   0   0   1/2
  0   0  -1     1
 )
-4- -1/4,1/4,z; -1/4,1/4,1/2 +1 {-4z-1|0,1/2,1}
16.-y+1/2,-x+1/2,z+1
my,mx,-mz
( 
  0  -1   0   1/2
 -1   0   0   1/2
  0   0   1     1
 )
g (0,0,1) x+1/2,-x,z +1 {mxy|1/2,1/2,1}
17.x,y,z+1
-mx,-my,-mz
( 
  1   0   0     0
  0   1   0     0
  0   0   1     1
 ) '
t (0,0,1) -1 {1|0,0,1}'
18.x+1/2,-y,-z+1
-mx,my,mz
( 
  1   0   0   1/2
  0  -1   0     0
  0   0  -1     1
 ) '
2 (1/2,0,0) x,0,1/2 -1 {2x|1/2,0,1}'
19.-x,y+1/2,-z+1
mx,-my,mz
( 
 -1   0   0     0
  0   1   0   1/2
  0   0  -1     1
 ) '
2 (0,1/2,0) 0,y,1/2 -1 {2y|0,1/2,1}'
20.-x+1/2,-y+1/2,z+1
mx,my,-mz
( 
 -1   0   0   1/2
  0  -1   0   1/2
  0   0   1     1
 ) '
2 (0,0,1) 1/4,1/4,z -1 {2z|1/2,1/2,1}'
21.-y,-x,-z
my,mx,mz
( 
  0  -1   0     0
 -1   0   0     0
  0   0  -1     0
 ) '
2 x,-x,0 -1 {2-xy|0,0,0}'
22.-y+1/2,x,z
my,-mx,-mz
( 
  0  -1   0   1/2
  1   0   0     0
  0   0   1     0
 ) '
4+ 1/4,1/4,z -1 {4z|1/2,0,0}'
23.y,-x+1/2,z
-my,mx,-mz
( 
  0   1   0     0
 -1   0   0   1/2
  0   0   1     0
 ) '
4- 1/4,1/4,z -1 {4z-1|0,1/2,0}'
24.y+1/2,x+1/2,-z
-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 {2xy|1/2,1/2,0}'
25.-x,-y,-z+1
-mx,-my,-mz
( 
 -1   0   0     0
  0  -1   0     0
  0   0  -1     1
 ) '
-1 0,0,1/2 -1 {-1|0,0,1}'
26.-x+1/2,y,z+1
-mx,my,mz
( 
 -1   0   0   1/2
  0   1   0     0
  0   0   1     1
 ) '
g (0,0,1) 1/4,y,z -1 {mx|1/2,0,1}'
27.x,-y+1/2,z+1
mx,-my,mz
( 
  1   0   0     0
  0  -1   0   1/2
  0   0   1     1
 ) '
g (0,0,1) x,1/4,z -1 {my|0,1/2,1}'
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     1
 ) '
n (1/2,1/2,0) x,y,1/2 -1 {mz|1/2,1/2,1}'
29.y,x,z
my,mx,mz
( 
  0   1   0     0
  1   0   0     0
  0   0   1     0
 ) '
m x,x,z -1 {m-xy|0,0,0}'
30.y+1/2,-x,-z
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 {-4z|1/2,0,0}'
31.-y,x+1/2,-z
-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 {-4z-1|0,1/2,0}'
32.-y+1/2,-x+1/2,z
-my,-mx,mz
( 
  0  -1   0   1/2
 -1   0   0   1/2
  0   0   1     0
 ) '
m x+1/2,-x,z -1 {mxy|1/2,1/2,0}'


Go to the Wyckoff Positions of 129.12.1086 (P2c4'/nmm')
Go to the extinction rules of 137.516 (Pc42/nmc) ← Corresponding space group in BNS settings


Back to the list of magnetic space groups derived from P42/nmc
Back to the list of Magnetic Space Groups

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