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Pc31m [#157.56] (Type: 4 -- Type IV (klassengleiche))

[OG: P2c31m #157.4.1287]

Operators of Group 157.56 (Pc31m)

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 {m3|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,0,z +1 {m2|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 0,y,z +1 {m1|0,0,0}
7.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}'
8.-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}'
9.-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}'
10.-x,-x+y,z+1/2
-mx,-mx+my,mz
( 
 -1   0   0     0
 -1   1   0     0
  0   0   1   1/2
 ) '
c 0,y,z -1 {m1|0,0,1/2}'
11.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,0,z -1 {m2|0,0,1/2}'
12.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 {m3|0,0,1/2}'


Go to the Wyckoff Positions of 157.56 (Pc31m)
Go to the extinction rules of 157.56 (Pc31m)


Back to the list of magnetic space groups derived from P31m
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