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IPm'-3' [#204.5.1534] (Type: 4 -- Type IV (klassengleiche))

[BNS: PIn-3] #201.21

Operators of Group 204.5.1534 (IPm'-3')

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,-y,-z
mx,-my,-mz
( 
  1   0   0     0
  0  -1   0     0
  0   0  -1     0
 )
2 x,0,0 +1 {2x|0,0,0}
3.-x,y,-z
-mx,my,-mz
( 
 -1   0   0     0
  0   1   0     0
  0   0  -1     0
 )
2 0,y,0 +1 {2y|0,0,0}
4.-x,-y,z
-mx,-my,mz
( 
 -1   0   0     0
  0  -1   0     0
  0   0   1     0
 )
2 0,0,z +1 {2z|0,0,0}
5.y,z,x
my,mz,mx
( 
  0   1   0     0
  0   0   1     0
  1   0   0     0
 )
3- x,x,x +1 {3xyz-1|0,0,0}
6.y,-z,-x
my,-mz,-mx
( 
  0   1   0     0
  0   0  -1     0
 -1   0   0     0
 )
3- -x,-x,x +1 {3xy-z|0,0,0}
7.-y,z,-x
-my,mz,-mx
( 
  0  -1   0     0
  0   0   1     0
 -1   0   0     0
 )
3- x,-x,-x +1 {3-xyz|0,0,0}
8.-y,-z,x
-my,-mz,mx
( 
  0  -1   0     0
  0   0  -1     0
  1   0   0     0
 )
3- -x,x,-x +1 {3x-yz|0,0,0}
9.z,x,y
mz,mx,my
( 
  0   0   1     0
  1   0   0     0
  0   1   0     0
 )
3+ x,x,x +1 {3xyz|0,0,0}
10.z,-x,-y
mz,-mx,-my
( 
  0   0   1     0
 -1   0   0     0
  0  -1   0     0
 )
3+ -x,x,-x +1 {3x-yz-1|0,0,0}
11.-z,x,-y
-mz,mx,-my
( 
  0   0  -1     0
  1   0   0     0
  0  -1   0     0
 )
3+ -x,-x,x +1 {3xy-z-1|0,0,0}
12.-z,-x,y
-mz,-mx,my
( 
  0   0  -1     0
 -1   0   0     0
  0   1   0     0
 )
3+ x,-x,-x +1 {3-xyz-1|0,0,0}
13.-x+1/2,-y+1/2,-z+1/2
mx,my,mz
( 
 -1   0   0   1/2
  0  -1   0   1/2
  0   0  -1   1/2
 )
-1 1/4,1/4,1/4 +1 {-1|1/2,1/2,1/2}
14.-x+1/2,y+1/2,z+1/2
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 {mx|1/2,1/2,1/2}
15.x+1/2,-y+1/2,z+1/2
-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 {my|1/2,1/2,1/2}
16.x+1/2,y+1/2,-z+1/2
-mx,-my,mz
( 
  1   0   0   1/2
  0   1   0   1/2
  0   0  -1   1/2
 )
n (1/2,1/2,0) x,y,1/4 +1 {mz|1/2,1/2,1/2}
17.-y+1/2,-z+1/2,-x+1/2
my,mz,mx
( 
  0  -1   0   1/2
  0   0  -1   1/2
 -1   0   0   1/2
 )
-3- x,x,x; 1/4,1/4,1/4 +1 {-3xyz-1|1/2,1/2,1/2}
18.-y+1/2,z+1/2,x+1/2
my,-mz,-mx
( 
  0  -1   0   1/2
  0   0   1   1/2
  1   0   0   1/2
 )
-3- -x,-x+1,x; -1/4,3/4,1/4 +1 {-3xy-z|1/2,1/2,1/2}
19.y+1/2,-z+1/2,x+1/2
-my,mz,-mx
( 
  0   1   0   1/2
  0   0  -1   1/2
  1   0   0   1/2
 )
-3- x+1,-x,-x; 1/4,-1/4,3/4 +1 {-3-xyz|1/2,1/2,1/2}
20.y+1/2,z+1/2,-x+1/2
-my,-mz,mx
( 
  0   1   0   1/2
  0   0   1   1/2
 -1   0   0   1/2
 )
-3- -x+1,x,-x; 3/4,1/4,-1/4 +1 {-3x-yz|1/2,1/2,1/2}
21.-z+1/2,-x+1/2,-y+1/2
mz,mx,my
( 
  0   0  -1   1/2
 -1   0   0   1/2
  0  -1   0   1/2
 )
-3+ x,x,x; 1/4,1/4,1/4 +1 {-3xyz|1/2,1/2,1/2}
22.-z+1/2,x+1/2,y+1/2
mz,-mx,-my
( 
  0   0  -1   1/2
  1   0   0   1/2
  0   1   0   1/2
 )
-3+ -x-1,x+1,-x; -1/4,1/4,3/4 +1 {-3x-yz-1|1/2,1/2,1/2}
23.z+1/2,-x+1/2,y+1/2
-mz,mx,-my
( 
  0   0   1   1/2
 -1   0   0   1/2
  0   1   0   1/2
 )
-3+ -x+1,-x,x; 3/4,-1/4,1/4 +1 {-3xy-z-1|1/2,1/2,1/2}
24.z+1/2,x+1/2,-y+1/2
-mz,-mx,my
( 
  0   0   1   1/2
  1   0   0   1/2
  0  -1   0   1/2
 )
-3+ x,-x+1,-x; 1/4,3/4,-1/4 +1 {-3-xyz-1|1/2,1/2,1/2}
25.x+1/2,y+1/2,z+1/2
-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}'
26.x+1/2,-y+1/2,-z+1/2
-mx,my,mz
( 
  1   0   0   1/2
  0  -1   0   1/2
  0   0  -1   1/2
 ) '
2 (1/2,0,0) x,1/4,1/4 -1 {2x|1/2,1/2,1/2}'
27.-x+1/2,y+1/2,-z+1/2
mx,-my,mz
( 
 -1   0   0   1/2
  0   1   0   1/2
  0   0  -1   1/2
 ) '
2 (0,1/2,0) 1/4,y,1/4 -1 {2y|1/2,1/2,1/2}'
28.-x+1/2,-y+1/2,z+1/2
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 {2z|1/2,1/2,1/2}'
29.y+1/2,z+1/2,x+1/2
-my,-mz,-mx
( 
  0   1   0   1/2
  0   0   1   1/2
  1   0   0   1/2
 ) '
3- (1/2,1/2,1/2) x,x,x -1 {3xyz-1|1/2,1/2,1/2}'
30.y+1/2,-z+1/2,-x+1/2
-my,mz,mx
( 
  0   1   0   1/2
  0   0  -1   1/2
 -1   0   0   1/2
 ) '
3- (1/6,1/6,-1/6) -x+2/3,-x+1/3,x -1 {3xy-z|1/2,1/2,1/2}'
31.-y+1/2,z+1/2,-x+1/2
my,-mz,mx
( 
  0  -1   0   1/2
  0   0   1   1/2
 -1   0   0   1/2
 ) '
3- (-1/6,1/6,1/6) x+1/3,-x+1/3,-x -1 {3-xyz|1/2,1/2,1/2}'
32.-y+1/2,-z+1/2,x+1/2
my,mz,-mx
( 
  0  -1   0   1/2
  0   0  -1   1/2
  1   0   0   1/2
 ) '
3- (1/6,-1/6,1/6) -x-1/3,x+2/3,-x -1 {3x-yz|1/2,1/2,1/2}'
33.z+1/2,x+1/2,y+1/2
-mz,-mx,-my
( 
  0   0   1   1/2
  1   0   0   1/2
  0   1   0   1/2
 ) '
3+ (1/2,1/2,1/2) x,x,x -1 {3xyz|1/2,1/2,1/2}'
34.z+1/2,-x+1/2,-y+1/2
-mz,mx,my
( 
  0   0   1   1/2
 -1   0   0   1/2
  0  -1   0   1/2
 ) '
3+ (1/6,-1/6,1/6) -x+1/3,x+1/3,-x -1 {3x-yz-1|1/2,1/2,1/2}'
35.-z+1/2,x+1/2,-y+1/2
mz,-mx,my
( 
  0   0  -1   1/2
  1   0   0   1/2
  0  -1   0   1/2
 ) '
3+ (1/6,1/6,-1/6) -x+1/3,-x+2/3,x -1 {3xy-z-1|1/2,1/2,1/2}'
36.-z+1/2,-x+1/2,y+1/2
mz,mx,-my
( 
  0   0  -1   1/2
 -1   0   0   1/2
  0   1   0   1/2
 ) '
3+ (-1/6,1/6,1/6) x+2/3,-x,-x -1 {3-xyz-1|1/2,1/2,1/2}'
37.-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}'
38.-x,y,z
-mx,my,mz
( 
 -1   0   0     0
  0   1   0     0
  0   0   1     0
 ) '
m 0,y,z -1 {mx|0,0,0}'
39.x,-y,z
mx,-my,mz
( 
  1   0   0     0
  0  -1   0     0
  0   0   1     0
 ) '
m x,0,z -1 {my|0,0,0}'
40.x,y,-z
mx,my,-mz
( 
  1   0   0     0
  0   1   0     0
  0   0  -1     0
 ) '
m x,y,0 -1 {mz|0,0,0}'
41.-y,-z,-x
-my,-mz,-mx
( 
  0  -1   0     0
  0   0  -1     0
 -1   0   0     0
 ) '
-3- x,x,x; 0,0,0 -1 {-3xyz-1|0,0,0}'
42.-y,z,x
-my,mz,mx
( 
  0  -1   0     0
  0   0   1     0
  1   0   0     0
 ) '
-3- -x,-x,x; 0,0,0 -1 {-3xy-z|0,0,0}'
43.y,-z,x
my,-mz,mx
( 
  0   1   0     0
  0   0  -1     0
  1   0   0     0
 ) '
-3- x,-x,-x; 0,0,0 -1 {-3-xyz|0,0,0}'
44.y,z,-x
my,mz,-mx
( 
  0   1   0     0
  0   0   1     0
 -1   0   0     0
 ) '
-3- -x,x,-x; 0,0,0 -1 {-3x-yz|0,0,0}'
45.-z,-x,-y
-mz,-mx,-my
( 
  0   0  -1     0
 -1   0   0     0
  0  -1   0     0
 ) '
-3+ x,x,x; 0,0,0 -1 {-3xyz|0,0,0}'
46.-z,x,y
-mz,mx,my
( 
  0   0  -1     0
  1   0   0     0
  0   1   0     0
 ) '
-3+ -x,x,-x; 0,0,0 -1 {-3x-yz-1|0,0,0}'
47.z,-x,y
mz,-mx,my
( 
  0   0   1     0
 -1   0   0     0
  0   1   0     0
 ) '
-3+ -x,-x,x; 0,0,0 -1 {-3xy-z-1|0,0,0}'
48.z,x,-y
mz,mx,-my
( 
  0   0   1     0
  1   0   0     0
  0  -1   0     0
 ) '
-3+ x,-x,-x; 0,0,0 -1 {-3-xyz-1|0,0,0}'


Go to the Wyckoff Positions of 204.5.1534 (IPm'-3')
Go to the extinction rules of 201.21 (PIn-3) ← Corresponding space group in BNS settings


Back to the list of magnetic space groups derived from Pn-3
Back to the list of Magnetic Space Groups

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