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R3m' [#160.67] (Type: 3 -- Type III (translationgleiche))

[OG: R3m' #160.3.1297]

Operators of Group 160.67 (R3m')

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.-y,x-y,z
-my,mx-my,mz
( 
  0  -1   0     0
  1  -1   0     0
  0   0   1     0
 )
3+ 0,0,z +1 {3z|0,0,0}
3.-x+y,-x,z
-mx+my,-mx,mz
( 
 -1   1   0     0
 -1   0   0     0
  0   0   1     0
 )
3- 0,0,z +1 {3z-1|0,0,0}
4.x+2/3,y+1/3,z+1/3
mx,my,mz
( 
  1   0   0   2/3
  0   1   0   1/3
  0   0   1   1/3
 )
t (2/3,1/3,1/3) +1 {1|2/3,1/3,1/3}
5d.-y+2/3,x-y+1/3,z+1/3
-my,mx-my,mz
( 
  0  -1   0   2/3
  1  -1   0   1/3
  0   0   1   1/3
 )
3+ (0,0,1/3) 1/3,1/3,z +1 {3z|2/3,1/3,1/3}
6d.-x+y+2/3,-x+1/3,z+1/3
-mx+my,-mx,mz
( 
 -1   1   0   2/3
 -1   0   0   1/3
  0   0   1   1/3
 )
3- (0,0,1/3) 1/3,0,z +1 {3z-1|2/3,1/3,1/3}
7.x+1/3,y+2/3,z+2/3
mx,my,mz
( 
  1   0   0   1/3
  0   1   0   2/3
  0   0   1   2/3
 )
t (1/3,2/3,2/3) +1 {1|1/3,2/3,2/3}
8d.-y+1/3,x-y+2/3,z+2/3
-my,mx-my,mz
( 
  0  -1   0   1/3
  1  -1   0   2/3
  0   0   1   2/3
 )
3+ (0,0,2/3) 0,1/3,z +1 {3z|1/3,2/3,2/3}
9d.-x+y+1/3,-x+2/3,z+2/3
-mx+my,-mx,mz
( 
 -1   1   0   1/3
 -1   0   0   2/3
  0   0   1   2/3
 )
3- (0,0,2/3) 1/3,1/3,z +1 {3z-1|1/3,2/3,2/3}
10.-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}'
11.-x+y,y,z
-mx+my,my,mz
( 
 -1   1   0     0
  0   1   0     0
  0   0   1     0
 ) '
m x,2x,z -1 {mx|0,0,0}'
12.x,x-y,z
mx,mx-my,mz
( 
  1   0   0     0
  1  -1   0     0
  0   0   1     0
 ) '
m 2x,x,z -1 {my|0,0,0}'
13d.-y+2/3,-x+1/3,z+1/3
-my,-mx,mz
( 
  0  -1   0   2/3
 -1   0   0   1/3
  0   0   1   1/3
 ) '
g (1/6,-1/6,1/3) x+1/2,-x,z -1 {mxy|2/3,1/3,1/3}'
14d.-x+y+2/3,y+1/3,z+1/3
-mx+my,my,mz
( 
 -1   1   0   2/3
  0   1   0   1/3
  0   0   1   1/3
 ) '
g (1/6,1/3,1/3) x+1/4,2x,z -1 {mx|2/3,1/3,1/3}'
15d.x+2/3,x-y+1/3,z+1/3
mx,mx-my,mz
( 
  1   0   0   2/3
  1  -1   0   1/3
  0   0   1   1/3
 ) '
g (2/3,1/3,1/3) 2x,x,z -1 {my|2/3,1/3,1/3}'
16d.-y+1/3,-x+2/3,z+2/3
-my,-mx,mz
( 
  0  -1   0   1/3
 -1   0   0   2/3
  0   0   1   2/3
 ) '
g (-1/6,1/6,2/3) x+1/2,-x,z -1 {mxy|1/3,2/3,2/3}'
17d.-x+y+1/3,y+2/3,z+2/3
-mx+my,my,mz
( 
 -1   1   0   1/3
  0   1   0   2/3
  0   0   1   2/3
 ) '
g (1/3,2/3,2/3) x,2x,z -1 {mx|1/3,2/3,2/3}'
18d.x+1/3,x-y+2/3,z+2/3
mx,mx-my,mz
( 
  1   0   0   1/3
  1  -1   0   2/3
  0   0   1   2/3
 ) '
g (1/3,1/6,2/3) 2x-0.5,x,z -1 {my|1/3,2/3,2/3}'
Show/Hide Derived operators due to the centring translations


Go to the Wyckoff Positions of 160.67 (R3m')
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