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P-3'm1 [#164.87] (Type: 3 -- Type III (translationgleiche))

[OG: P-3'm1 #164.3.1317]

Operators of Group 164.87 (P-3'm1)

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
 )
m x,-x,z +1 {mxy|0,0,0}
5.-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}
6.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}
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.-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}'


Go to the Wyckoff Positions of 164.87 (P-3'm1)
Go to the extinction rules of 164.87 (P-3'm1)


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