Bilbao Crystallographic Server arrow MGENPOS arrow Table of Magnetic Space Group Symbols Help

Pc63/m [#176.148] (Type: 4 -- Type IV (klassengleiche))

[OG: P2c6'/m #175.7.1373]

Operators of Group 176.148 (Pc63/m)

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.-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.x,y,-z+1/2
-mx,-my,mz
( 
  1   0   0     0
  0   1   0     0
  0   0  -1   1/2
 )
m x,y,1/4 +1 {mz|0,0,1/2}
11.-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,z 0,0,1/4 +1 {-6z-1|0,0,1/2}
12.-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,z 0,0,1/4 +1 {-6z|0,0,1/2}
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,-z+1/2
-mx,-my,-mz
( 
 -1   0   0     0
  0  -1   0     0
  0   0  -1   1/2
 ) '
-1 0,0,1/4 -1 {-1|0,0,1/2}'
20.-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}'
21.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,z 0,0,1/4 -1 {-3z|0,0,1/2}'
22.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}'
23.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,z 0,0,1/4 -1 {-3z-1|0,0,1/2}'
24.-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}'


Go to the Wyckoff Positions of 176.148 (Pc63/m)
Go to the extinction rules of 176.148 (Pc63/m)


Back to the list of magnetic space groups derived from P6/m
Back to the list of Magnetic Space Groups

Bilbao Crystallographic Server
http://www.cryst.ehu.es 		For comments, please mail to
administrador.bcs@ehu.es