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Pc6222 [#180.172] (Type: 4 -- Type IV (klassengleiche))

[OG: P2c6422 #181.6.1408]

Operators of Group 180.172 (Pc6222)

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.-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}
5.y,-x+y,z+2/3
my,-mx+my,mz
( 
  0   1   0     0
 -1   1   0     0
  0   0   1   2/3
 )
6- (0,0,2/3) 0,0,z +1 {6z-1|0,0,2/3}
6.x-y,x,z+1/3
mx-my,mx,mz
( 
  1  -1   0     0
  1   0   0     0
  0   0   1   1/3
 )
6+ (0,0,1/3) 0,0,z +1 {6z|0,0,1/3}
7.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}
8.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}
9.-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}
10.-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 {23|0,0,2/3}
11.-x+y,y,-z
-mx+my,my,-mz
( 
 -1   1   0     0
  0   1   0     0
  0   0  -1     0
 )
2 x,2x,0 +1 {22|0,0,0}
12.x,x-y,-z+1/3
mx,mx-my,-mz
( 
  1   0   0     0
  1  -1   0     0
  0   0  -1   1/3
 )
2 2x,x,1/6 +1 {21|0,0,1/3}
13.x,y,z+1/2
-mx,-my,-mz
( 
  1   0   0     0
  0   1   0     0
  0   0   1   1/2
 ) '
t (0,0,1/2) -1 {1|0,0,1/2}'
14.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}'
15.-y,x-y,z+1/6
my,-mx+my,-mz
( 
  0  -1   0     0
  1  -1   0     0
  0   0   1   1/6
 ) '
3+ (0,0,1/6) 0,0,z -1 {3z|0,0,1/6}'
16.-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}'
17.-x+y,-x,z+5/6
mx-my,mx,-mz
( 
 -1   1   0     0
 -1   0   0     0
  0   0   1   5/6
 ) '
3- (0,0,5/6) 0,0,z -1 {3z-1|0,0,5/6}'
18.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}'
19.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,0,1/4 -1 {2x|0,0,1/2}'
20.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}'
21.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 {2xy|0,0,1/6}'
22.-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}'
23.-x,-x+y,-z+5/6
mx,mx-my,mz
( 
 -1   0   0     0
 -1   1   0     0
  0   0  -1   5/6
 ) '
2 0,y,5/12 -1 {2y|0,0,5/6}'
24.-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}'


Go to the Wyckoff Positions of 180.172 (Pc6222)
Go to the extinction rules of 180.172 (Pc6222)


Back to the list of magnetic space groups derived from P6222
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