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PP42/mmc [#131.10.1106] (Type: 4 -- Type IV (klassengleiche))

[BNS: PC42/mcm] #132.457

Operators of Group 131.10.1106 (PP42/mmc)

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


Go to the Wyckoff Positions of 131.10.1106 (PP42/mmc)
Go to the extinction rules of 132.457 (PC42/mcm) ← Corresponding space group in BNS settings


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

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