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

Pc65 [#170.120] (Type: 4 -- Type IV (klassengleiche))

[OG: P2c64' #172.5.1359]

Operators of Group 170.120 (Pc65)

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+2/3
-my,mx-my,mz

(
  0  -1   0     0
  1  -1   0     0
  0   0   1   2/3
)
3+ (0,0,2/3) 0,0,z +1 {3z|0,0,2/3}
3.-x+y,-x,z+1/3
-mx+my,-mx,mz

(
 -1   1   0     0
 -1   0   0     0
  0   0   1   1/3
)
3- (0,0,1/3) 0,0,z +1 {3z-1|0,0,1/3}
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+1/6
my,-mx+my,mz

(
  0   1   0     0
 -1   1   0     0
  0   0   1   1/6
)
6- (0,0,1/6) 0,0,z +1 {6z-1|0,0,1/6}
6.x-y,x,z+5/6
mx-my,mx,mz

(
  1  -1   0     0
  1   0   0     0
  0   0   1   5/6
)
6+ (0,0,5/6) 0,0,z +1 {6z|0,0,5/6}
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.x-y,x,z+1/3
-mx+my,-mx,-mz

(
  1  -1   0     0
  1   0   0     0
  0   0   1   1/3
) '
6+ (0,0,1/3) 0,0,z -1 {6z|0,0,1/3}'
9.-y,x-y,z+1/6
my,-mx+my,-mz

(
  0  -1   0     0
  1  -1   0     0
  0   0   1   1/6
) '
3+ (0,0,1/6) 0,0,z -1 {3z|0,0,1/6}'
10.-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}'
11.-x+y,-x,z+5/6
mx-my,mx,-mz

(
 -1   1   0     0
 -1   0   0     0
  0   0   1   5/6
) '
3- (0,0,5/6) 0,0,z -1 {3z-1|0,0,5/6}'
12.y,-x+y,z+2/3
-my,mx-my,-mz

(
  0   1   0     0
 -1   1   0     0
  0   0   1   2/3
) '
6- (0,0,2/3) 0,0,z -1 {6z-1|0,0,2/3}'


Go to the Wyckoff Positions of 170.120 (Pc65)
Go to the extinction rules of 170.120 (Pc65)



Back to the list of magnetic space groups derived from P64
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