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PI42cm [#101.186] (Type: 4 -- Type IV (klassengleiche))

[OG: IP4'c'm #108.7.898]

Operators of Group 101.186 (PI42cm)

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+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}
4.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}
5.x,-y,z+1/2
-mx,my,-mz
( 
  1   0   0     0
  0  -1   0     0
  0   0   1   1/2
 )
c x,0,z +1 {my|0,0,1/2}
6.-x,y,z+1/2
mx,-my,-mz
( 
 -1   0   0     0
  0   1   0     0
  0   0   1   1/2
 )
c 0,y,z +1 {mx|0,0,1/2}
7.-y,-x,z
my,mx,-mz
( 
  0  -1   0     0
 -1   0   0     0
  0   0   1     0
 )
m x,-x,z +1 {mxy|0,0,0}
8.y,x,z
-my,-mx,-mz
( 
  0   1   0     0
  1   0   0     0
  0   0   1     0
 )
m x,x,z +1 {m-xy|0,0,0}
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
my,-mx,-mz
( 
  0  -1   0   1/2
  1   0   0   1/2
  0   0   1     0
 ) '
4+ 0,1/2,z -1 {4z|1/2,1/2,0}'
12.y+1/2,-x+1/2,z
-my,mx,-mz
( 
  0   1   0   1/2
 -1   0   0   1/2
  0   0   1     0
 ) '
4- 1/2,0,z -1 {4z-1|1/2,1/2,0}'
13.-x+1/2,y+1/2,z
-mx,my,mz
( 
 -1   0   0   1/2
  0   1   0   1/2
  0   0   1     0
 ) '
b 1/4,y,z -1 {mx|1/2,1/2,0}'
14.x+1/2,-y+1/2,z
mx,-my,mz
( 
  1   0   0   1/2
  0  -1   0   1/2
  0   0   1     0
 ) '
a x,1/4,z -1 {my|1/2,1/2,0}'
15.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
 ) '
n (1/2,1/2,1/2) x,x,z -1 {m-xy|1/2,1/2,1/2}'
16.-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
 ) '
c x+1/2,-x,z -1 {mxy|1/2,1/2,1/2}'


Go to the Wyckoff Positions of 101.186 (PI42cm)
Go to the extinction rules of 101.186 (PI42cm)


Back to the list of magnetic space groups derived from I4cm
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