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I41/a' [#88.84] (Type: 3 -- Type III (translationgleiche))

[OG: I41/a' #88.4.745]

Operators of Group 88.84 (I41/a')

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}
2d.-x+1/2,-y,z+1/2
-mx,-my,mz
( 
 -1   0   0   1/2
  0  -1   0     0
  0   0   1   1/2
 )
2 (0,0,1/2) 1/4,0,z +1 {2z|1/2,0,1/2}
3.-y+3/4,x+1/4,z+1/4
-my,mx,mz
( 
  0  -1   0   3/4
  1   0   0   1/4
  0   0   1   1/4
 )
4+ (0,0,1/4) 1/4,1/2,z +1 {4z|3/4,1/4,1/4}
4d.y+3/4,-x+3/4,z+3/4
my,-mx,mz
( 
  0   1   0   3/4
 -1   0   0   3/4
  0   0   1   3/4
 )
4- (0,0,3/4) 3/4,0,z +1 {4z-1|3/4,3/4,3/4}
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
 )
t (1/2,1/2,1/2) +1 {1|1/2,1/2,1/2}
6.-x,-y+1/2,z
-mx,-my,mz
( 
 -1   0   0     0
  0  -1   0   1/2
  0   0   1     0
 )
2 0,1/4,z +1 {2z|0,1/2,0}
7d.-y+1/4,x+3/4,z+3/4
-my,mx,mz
( 
  0  -1   0   1/4
  1   0   0   3/4
  0   0   1   3/4
 )
4+ (0,0,3/4) -1/4,1/2,z +1 {4z|1/4,3/4,3/4}
8.y+1/4,-x+1/4,z+1/4
my,-mx,mz
( 
  0   1   0   1/4
 -1   0   0   1/4
  0   0   1   1/4
 )
4- (0,0,1/4) 1/4,0,z +1 {4z-1|1/4,1/4,1/4}
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}'
10d.x+1/2,y,-z+1/2
mx,my,-mz
( 
  1   0   0   1/2
  0   1   0     0
  0   0  -1   1/2
 ) '
a x,y,1/4 -1 {mz|1/2,0,1/2}'
11.y+1/4,-x+3/4,-z+3/4
my,-mx,-mz
( 
  0   1   0   1/4
 -1   0   0   3/4
  0   0  -1   3/4
 ) '
-4+ 1/2,1/4,z 1/2,1/4,3/8 -1 {-4z|1/4,3/4,3/4}'
12d.-y+1/4,x+1/4,-z+1/4
-my,mx,-mz
( 
  0  -1   0   1/4
  1   0   0   1/4
  0   0  -1   1/4
 ) '
-4- 0,1/4,z 0,1/4,1/8 -1 {-4z-1|1/4,1/4,1/4}'
13d.-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,y+1/2,-z
mx,my,-mz
( 
  1   0   0     0
  0   1   0   1/2
  0   0  -1     0
 ) '
b x,y,0 -1 {mz|0,1/2,0}'
15d.y+3/4,-x+1/4,-z+1/4
my,-mx,-mz
( 
  0   1   0   3/4
 -1   0   0   1/4
  0   0  -1   1/4
 ) '
-4+ 1/2,-1/4,z 1/2,-1/4,1/8 -1 {-4z|3/4,1/4,1/4}'
16.-y+3/4,x+3/4,-z+3/4
-my,mx,-mz
( 
  0  -1   0   3/4
  1   0   0   3/4
  0   0  -1   3/4
 ) '
-4- 0,3/4,z 0,3/4,3/8 -1 {-4z-1|3/4,3/4,3/4}'
Show/Hide Derived operators due to the centring translations


Go to the Wyckoff Positions of 88.84 (I41/a')
Go to the extinction rules of 88.84 (I41/a')


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