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R-3' [#148.19] (Type: 3 -- Type III (translationgleiche))

[OG: R-3' #148.3.1249]

Operators of Group 148.19 (R-3')

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.-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}'
11.y,-x+y,-z
my,-mx+my,-mz
( 
  0   1   0     0
 -1   1   0     0
  0   0  -1     0
 ) '
-3+ 0,0,z 0,0,0 -1 {-3z|0,0,0}'
12.x-y,x,-z
mx-my,mx,-mz
( 
  1  -1   0     0
  1   0   0     0
  0   0  -1     0
 ) '
-3- 0,0,z 0,0,0 -1 {-3z-1|0,0,0}'
13d.-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
 ) '
-1 1/3,1/6,1/6 -1 {-1|2/3,1/3,1/3}'
14d.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+ 1/3,-1/3,z 1/3,-1/3,1/6 -1 {-3z|2/3,1/3,1/3}'
15d.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- 1/3,2/3,z 1/3,2/3,1/6 -1 {-3z-1|2/3,1/3,1/3}'
16d.-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
 ) '
-1 1/6,1/3,1/3 -1 {-1|1/3,2/3,2/3}'
17d.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+ 2/3,1/3,z 2/3,1/3,1/3 -1 {-3z|1/3,2/3,2/3}'
18d.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- -1/3,1/3,z -1/3,1/3,1/3 -1 {-3z-1|1/3,2/3,2/3}'
Show/Hide Derived operators due to the centring translations


Go to the Wyckoff Positions of 148.19 (R-3')
Go to the extinction rules of 148.19 (R-3')


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