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Pc63cm [#185.202] (Type: 4 -- Type IV (klassengleiche))

[OG: P2c6'm'm #183.7.1421]

Operators of Group 185.202 (Pc63cm)

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+1/2
-mx,-my,mz
( 
 -1   0   0     0
  0  -1   0     0
  0   0   1   1/2
 )
2 (0,0,1/2) 0,0,z +1 {2z|0,0,1/2}
5.y,-x+y,z+1/2
my,-mx+my,mz
( 
  0   1   0     0
 -1   1   0     0
  0   0   1   1/2
 )
6- (0,0,1/2) 0,0,z +1 {6z-1|0,0,1/2}
6.x-y,x,z+1/2
mx-my,mx,mz
( 
  1  -1   0     0
  1   0   0     0
  0   0   1   1/2
 )
6+ (0,0,1/2) 0,0,z +1 {6z|0,0,1/2}
7.-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}
8.-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}
9.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}
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}
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.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}'
15.-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}'
16.-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}'
17.-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}'
18.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}'
19.-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}'
20.-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}'
21.-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}'
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,0,z -1 {m2|0,0,1/2}'
23.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}'
24.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 185.202 (Pc63cm)
Go to the extinction rules of 185.202 (Pc63cm)


Back to the list of magnetic space groups derived from P6mm
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