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I41m'd' [#109.243] (Type: 3 -- Type III (translationgleiche))

[OG: I41m'd' #109.5.905]

Operators of Group 109.243 (I41m'd')

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+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}
3.-y,x+1/2,z+1/4
-my,mx,mz
( 
  0  -1   0     0
  1   0   0   1/2
  0   0   1   1/4
 )
4+ (0,0,1/4) -1/4,1/4,z +1 {4z|0,1/2,1/4}
4d.y+1/2,-x,z+3/4
my,-mx,mz
( 
  0   1   0   1/2
 -1   0   0     0
  0   0   1   3/4
 )
4- (0,0,3/4) 1/4,-1/4,z +1 {4z-1|1/2,0,3/4}
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,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}
7d.-y+1/2,x,z+3/4
-my,mx,mz
( 
  0  -1   0   1/2
  1   0   0     0
  0   0   1   3/4
 )
4+ (0,0,3/4) 1/4,1/4,z +1 {4z|1/2,0,3/4}
8.y,-x+1/2,z+1/4
my,-mx,mz
( 
  0   1   0     0
 -1   0   0   1/2
  0   0   1   1/4
 )
4- (0,0,1/4) 1/4,1/4,z +1 {4z-1|0,1/2,1/4}
9.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}'
10d.-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}'
11.-y,-x+1/2,z+1/4
-my,-mx,mz
( 
  0  -1   0     0
 -1   0   0   1/2
  0   0   1   1/4
 ) '
d (-1/4,1/4,1/4) x+1/4,-x,z -1 {mxy|0,1/2,1/4}'
12d.y+1/2,x,z+3/4
my,mx,mz
( 
  0   1   0   1/2
  1   0   0     0
  0   0   1   3/4
 ) '
d (1/4,1/4,3/4) x+1/4,x,z -1 {m-xy|1/2,0,3/4}'
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
 ) '
n (1/2,0,1/2) x,1/4,z -1 {my|1/2,1/2,1/2}'
14.-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}'
15d.-y+1/2,-x,z+3/4
-my,-mx,mz
( 
  0  -1   0   1/2
 -1   0   0     0
  0   0   1   3/4
 ) '
d (1/4,-1/4,3/4) x+1/4,-x,z -1 {mxy|1/2,0,3/4}'
16.y,x+1/2,z+1/4
my,mx,mz
( 
  0   1   0     0
  1   0   0   1/2
  0   0   1   1/4
 ) '
d (1/4,1/4,1/4) x-0.25,x,z -1 {m-xy|0,1/2,1/4}'
Show/Hide Derived operators due to the centring translations


Go to the Wyckoff Positions of 109.243 (I41m'd')
Go to the extinction rules of 109.243 (I41m'd')


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