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IP4/m' [#87.8.740] (Type: 4 -- Type IV (klassengleiche))

[BNS: PI4/n] #85.66

Operators of Group 87.8.740 (IP4/m')

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 0,0,z +1 {2z|0,0,0}
3.-y,x,z
-my,mx,mz
( 
  0  -1   0     0
  1   0   0     0
  0   0   1     0
 )
4+ 0,0,z +1 {4z|0,0,0}
4.y,-x,z
my,-mx,mz
( 
  0   1   0     0
 -1   0   0     0
  0   0   1     0
 )
4- 0,0,z +1 {4z-1|0,0,0}
5.-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}
6.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}
7.y+1/2,-x+1/2,-z+1/2
-my,mx,mz
( 
  0   1   0   1/2
 -1   0   0   1/2
  0   0  -1   1/2
 )
-4+ 1/2,0,z; 1/2,0,1/4 +1 {-4z|1/2,1/2,1/2}
8.-y+1/2,x+1/2,-z+1/2
my,-mx,mz
( 
  0  -1   0   1/2
  1   0   0   1/2
  0   0  -1   1/2
 )
-4- 0,1/2,z; 0,1/2,1/4 +1 {-4z-1|1/2,1/2,1/2}
9.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}'
10.-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}'
11.-y+1/2,x+1/2,z+1/2
my,-mx,-mz
( 
  0  -1   0   1/2
  1   0   0   1/2
  0   0   1   1/2
 ) '
4+ (0,0,1/2) 0,1/2,z -1 {4z|1/2,1/2,1/2}'
12.y+1/2,-x+1/2,z+1/2
-my,mx,-mz
( 
  0   1   0   1/2
 -1   0   0   1/2
  0   0   1   1/2
 ) '
4- (0,0,1/2) 1/2,0,z -1 {4z-1|1/2,1/2,1/2}'
13.-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}'
14.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}'
15.y,-x,-z
my,-mx,-mz
( 
  0   1   0     0
 -1   0   0     0
  0   0  -1     0
 ) '
-4+ 0,0,z; 0,0,0 -1 {-4z|0,0,0}'
16.-y,x,-z
-my,mx,-mz
( 
  0  -1   0     0
  1   0   0     0
  0   0  -1     0
 ) '
-4- 0,0,z; 0,0,0 -1 {-4z-1|0,0,0}'


Go to the Wyckoff Positions of 87.8.740 (IP4/m')
Go to the extinction rules of 85.66 (PI4/n) ← Corresponding space group in BNS settings


Back to the list of magnetic space groups derived from P4/n
Back to the list of Magnetic Space Groups

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