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P65'22' [#179.164] (Type: 3 -- Type III (translationgleiche))

[OG: P65'22' #179.4.1394]

Operators of Group 179.164 (P65'22')

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+2/3
-my,mx-my,mz
( 
  0  -1   0     0
  1  -1   0     0
  0   0   1   2/3
 )
3+ (0,0,2/3) 0,0,z +1 {3z|0,0,2/3}
3.-x+y,-x,z+1/3
-mx+my,-mx,mz
( 
 -1   1   0     0
 -1   0   0     0
  0   0   1   1/3
 )
3- (0,0,1/3) 0,0,z +1 {3z-1|0,0,1/3}
4.y,x,-z+2/3
my,mx,-mz
( 
  0   1   0     0
  1   0   0     0
  0   0  -1   2/3
 )
2 x,x,1/3 +1 {2xy|0,0,2/3}
5.x-y,-y,-z
mx-my,-my,-mz
( 
  1  -1   0     0
  0  -1   0     0
  0   0  -1     0
 )
2 x,0,0 +1 {2x|0,0,0}
6.-x,-x+y,-z+1/3
-mx,-mx+my,-mz
( 
 -1   0   0     0
 -1   1   0     0
  0   0  -1   1/3
 )
2 0,y,1/6 +1 {2y|0,0,1/3}
7.-x,-y,z+1/2
mx,my,-mz
( 
 -1   0   0     0
  0  -1   0     0
  0   0   1   1/2
 ) '
2 (0,0,1/2) 0,0,z -1 {2z|0,0,1/2}'
8.y,-x+y,z+1/6
-my,mx-my,-mz
( 
  0   1   0     0
 -1   1   0     0
  0   0   1   1/6
 ) '
6- (0,0,1/6) 0,0,z -1 {6z-1|0,0,1/6}'
9.x-y,x,z+5/6
-mx+my,-mx,-mz
( 
  1  -1   0     0
  1   0   0     0
  0   0   1   5/6
 ) '
6+ (0,0,5/6) 0,0,z -1 {6z|0,0,5/6}'
10.-y,-x,-z+1/6
my,mx,mz
( 
  0  -1   0     0
 -1   0   0     0
  0   0  -1   1/6
 ) '
2 x,-x,1/12 -1 {23|0,0,1/6}'
11.-x+y,y,-z+1/2
mx-my,-my,mz
( 
 -1   1   0     0
  0   1   0     0
  0   0  -1   1/2
 ) '
2 x,2x,1/4 -1 {22|0,0,1/2}'
12.x,x-y,-z+5/6
-mx,-mx+my,mz
( 
  1   0   0     0
  1  -1   0     0
  0   0  -1   5/6
 ) '
2 2x,x,5/12 -1 {21|0,0,5/6}'


Go to the Wyckoff Positions of 179.164 (P65'22')
Go to the extinction rules of 179.164 (P65'22')


Back to the list of magnetic space groups derived from P6522
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