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Pc-3m1 [#164.90] (Type: 4 -- Type IV (klassengleiche))

[OG: P2c-3m1 #164.6.1320]

Operators of Group 164.90 (Pc-3m1)

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.y,x,-z
my,mx,-mz
( 
  0   1   0     0
  1   0   0     0
  0   0  -1     0
 )
2 x,x,0 +1 {2xy|0,0,0}
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
-mx,-mx+my,-mz
( 
 -1   0   0     0
 -1   1   0     0
  0   0  -1     0
 )
2 0,y,0 +1 {2y|0,0,0}
7.-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}
8.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}
9.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}
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}
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.-y,x-y,z+1/2
my,-mx+my,-mz
( 
  0  -1   0     0
  1  -1   0     0
  0   0   1   1/2
 ) '
3+ (0,0,1/2) 0,0,z -1 {3z|0,0,1/2}'
15.-x+y,-x,z+1/2
mx-my,mx,-mz
( 
 -1   1   0     0
 -1   0   0     0
  0   0   1   1/2
 ) '
3- (0,0,1/2) 0,0,z -1 {3z-1|0,0,1/2}'
16.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}'
17.y,x,-z+1/2
-my,-mx,mz
( 
  0   1   0     0
  1   0   0     0
  0   0  -1   1/2
 ) '
2 x,x,1/4 -1 {2xy|0,0,1/2}'
18.-x,-x+y,-z+1/2
mx,mx-my,mz
( 
 -1   0   0     0
 -1   1   0     0
  0   0  -1   1/2
 ) '
2 0,y,1/4 -1 {2y|0,0,1/2}'
19.-x,-y,-z+1/2
-mx,-my,-mz
( 
 -1   0   0     0
  0  -1   0     0
  0   0  -1   1/2
 ) '
-1 0,0,1/4 -1 {-1|0,0,1/2}'
20.y,-x+y,-z+1/2
my,-mx+my,-mz
( 
  0   1   0     0
 -1   1   0     0
  0   0  -1   1/2
 ) '
-3+ 0,0,z 0,0,1/4 -1 {-3z|0,0,1/2}'
21.x-y,x,-z+1/2
mx-my,mx,-mz
( 
  1  -1   0     0
  1   0   0     0
  0   0  -1   1/2
 ) '
-3- 0,0,z 0,0,1/4 -1 {-3z-1|0,0,1/2}'
22.-x+y,y,z+1/2
-mx+my,my,mz
( 
 -1   1   0     0
  0   1   0     0
  0   0   1   1/2
 ) '
c x,2x,z -1 {mx|0,0,1/2}'
23.-y,-x,z+1/2
-my,-mx,mz
( 
  0  -1   0     0
 -1   0   0     0
  0   0   1   1/2
 ) '
c x,-x,z -1 {mxy|0,0,1/2}'
24.x,x-y,z+1/2
mx,mx-my,mz
( 
  1   0   0     0
  1  -1   0     0
  0   0   1   1/2
 ) '
c 2x,x,z -1 {my|0,0,1/2}'


Go to the Wyckoff Positions of 164.90 (Pc-3m1)
Go to the extinction rules of 164.90 (Pc-3m1)


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