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P-3'1m' [#162.76] (Type: 3 -- Type III (translationgleiche))

[OG: P-3'1m' #162.4.1306]

Operators of Group 162.76 (P-3'1m')

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 {23|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,2x,0 +1 {22|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 2x,x,0 +1 {21|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 {m3|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,0,z -1 {m2|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 0,y,z -1 {m1|0,0,0}'


Go to the Wyckoff Positions of 162.76 (P-3'1m')
Go to the extinction rules of 162.76 (P-3'1m')


Back to the list of magnetic space groups derived from P-31m
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