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P6/mmm [#191.233] (Type: 1 -- Type I (Fedorov))

[OG: P6/mmm #191.1.1463]

Operators of Group 191.233 (P6/mmm)

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,-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
my,-mx+my,mz
( 
  0   1   0     0
 -1   1   0     0
  0   0   1     0
 )
6- 0,0,z +1 {6z-1|0,0,0}
6.x-y,x,z
mx-my,mx,mz
( 
  1  -1   0     0
  1   0   0     0
  0   0   1     0
 )
6+ 0,0,z +1 {6z|0,0,0}
7.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}
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
-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}
10.-y,-x,-z
-my,-mx,-mz
( 
  0  -1   0     0
 -1   0   0     0
  0   0  -1     0
 )
2 x,-x,0 +1 {23|0,0,0}
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
mx,mx-my,-mz
( 
  1   0   0     0
  1  -1   0     0
  0   0  -1     0
 )
2 2x,x,0 +1 {21|0,0,0}
13.-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}
14.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}
15.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}
16.x,y,-z
-mx,-my,mz
( 
  1   0   0     0
  0   1   0     0
  0   0  -1     0
 )
m x,y,0 +1 {mz|0,0,0}
17.-y,x-y,-z
my,-mx+my,mz
( 
  0  -1   0     0
  1  -1   0     0
  0   0  -1     0
 )
-6- 0,0,z 0,0,0 +1 {-6z-1|0,0,0}
18.-x+y,-x,-z
mx-my,mx,mz
( 
 -1   1   0     0
 -1   0   0     0
  0   0  -1     0
 )
-6+ 0,0,z 0,0,0 +1 {-6z|0,0,0}
19.-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}
20.-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}
21.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}
22.y,x,z
-my,-mx,-mz
( 
  0   1   0     0
  1   0   0     0
  0   0   1     0
 )
m x,x,z +1 {m3|0,0,0}
23.x-y,-y,z
-mx+my,my,-mz
( 
  1  -1   0     0
  0  -1   0     0
  0   0   1     0
 )
m x,0,z +1 {m2|0,0,0}
24.-x,-x+y,z
mx,mx-my,-mz
( 
 -1   0   0     0
 -1   1   0     0
  0   0   1     0
 )
m 0,y,z +1 {m1|0,0,0}


Go to the Wyckoff Positions of 191.233 (P6/mmm)
Go to the extinction rules of 191.233 (P6/mmm)


Back to the list of magnetic space groups derived from P6/mmm
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