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

P2c-3m'1 [#164.7.1321] (Type: 4 -- Type IV (klassengleiche))

[BNS: Pc-3c1] #165.96

Operators of Group 164.7.1321 (P2c-3m'1)

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.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 {2xy|0,0,1}
3.-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}
4.-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 {mxy|0,0,1}
5.-y,x-y,z
-my,mx-my,mz
( 
  0  -1   0     0
  1  -1   0     0
  0   0   1     0
 )
3+ 0,0,z +1 {3z|0,0,0}
6.-x+y,-x,z
-mx+my,-mx,mz
( 
 -1   1   0     0
 -1   0   0     0
  0   0   1     0
 )
3- 0,0,z +1 {3z-1|0,0,0}
7.x-y,-y,-z+1
mx-my,-my,-mz
( 
  1  -1   0     0
  0  -1   0     0
  0   0  -1     1
 )
2 x,0,1/2 +1 {2x|0,0,1}
8.-x,-x+y,-z+1
-mx,-mx+my,-mz
( 
 -1   0   0     0
 -1   1   0     0
  0   0  -1     1
 )
2 0,y,1/2 +1 {2y|0,0,1}
9.y,-x+y,-z
-my,mx-my,mz
( 
  0   1   0     0
 -1   1   0     0
  0   0  -1     0
 )
-3+ 0,0,z; 0,0,0 +1 {-3z|0,0,0}
10.x-y,x,-z
-mx+my,-mx,mz
( 
  1  -1   0     0
  1   0   0     0
  0   0  -1     0
 )
-3- 0,0,z; 0,0,0 +1 {-3z-1|0,0,0}
11.-x+y,y,z+1
mx-my,-my,-mz
( 
 -1   1   0     0
  0   1   0     0
  0   0   1     1
 )
g (0,0,1) x,2x,z +1 {mx|0,0,1}
12.x,x-y,z+1
-mx,-mx+my,-mz
( 
  1   0   0     0
  1  -1   0     0
  0   0   1     1
 )
g (0,0,1) 2x,x,z +1 {my|0,0,1}
13.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}'
14.y,x,-z
-my,-mx,mz
( 
  0   1   0     0
  1   0   0     0
  0   0  -1     0
 ) '
2 x,x,0 -1 {2xy|0,0,0}'
15.-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}'
16.-y,-x,z
-my,-mx,mz
( 
  0  -1   0     0
 -1   0   0     0
  0   0   1     0
 ) '
m x,-x,z -1 {mxy|0,0,0}'
17.-y,x-y,z+1
my,-mx+my,-mz
( 
  0  -1   0     0
  1  -1   0     0
  0   0   1     1
 ) '
3+ (0,0,1) 0,0,z -1 {3z|0,0,1}'
18.-x+y,-x,z+1
mx-my,mx,-mz
( 
 -1   1   0     0
 -1   0   0     0
  0   0   1     1
 ) '
3- (0,0,1) 0,0,z -1 {3z-1|0,0,1}'
19.x-y,-y,-z
-mx+my,my,mz
( 
  1  -1   0     0
  0  -1   0     0
  0   0  -1     0
 ) '
2 x,0,0 -1 {2x|0,0,0}'
20.-x,-x+y,-z
mx,mx-my,mz
( 
 -1   0   0     0
 -1   1   0     0
  0   0  -1     0
 ) '
2 0,y,0 -1 {2y|0,0,0}'
21.y,-x+y,-z+1
my,-mx+my,-mz
( 
  0   1   0     0
 -1   1   0     0
  0   0  -1     1
 ) '
-3+ 0,0,z; 0,0,1/2 -1 {-3z|0,0,1}'
22.x-y,x,-z+1
mx-my,mx,-mz
( 
  1  -1   0     0
  1   0   0     0
  0   0  -1     1
 ) '
-3- 0,0,z; 0,0,1/2 -1 {-3z-1|0,0,1}'
23.-x+y,y,z
-mx+my,my,mz
( 
 -1   1   0     0
  0   1   0     0
  0   0   1     0
 ) '
m x,2x,z -1 {mx|0,0,0}'
24.x,x-y,z
mx,mx-my,mz
( 
  1   0   0     0
  1  -1   0     0
  0   0   1     0
 ) '
m 2x,x,z -1 {my|0,0,0}'


Go to the Wyckoff Positions of 164.7.1321 (P2c-3m'1)
Go to the extinction rules of 165.96 (Pc-3c1) ← Corresponding space group in BNS settings


Back to the list of magnetic space groups derived from P-3m1
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