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

Cc'c'a' [#68.517] (Type: 3 -- Type III (translationgleiche))

[OG: Cc'c'a' #68.7.600]

Operators of Group 68.517 (Cc'c'a')

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}
2d.-x+1/2,-y,z
-mx,-my,mz

(
 -1   0   0   1/2
  0  -1   0     0
  0   0   1     0
)
2 1/4,0,z +1 {2z|1/2,0,0}
3.-x,y,-z+1/2
-mx,my,-mz

(
 -1   0   0     0
  0   1   0     0
  0   0  -1   1/2
)
2 0,y,1/4 +1 {2y|0,0,1/2}
4d.x+1/2,-y,-z+1/2
mx,-my,-mz

(
  1   0   0   1/2
  0  -1   0     0
  0   0  -1   1/2
)
2 (1/2,0,0) x,0,1/4 +1 {2x|1/2,0,1/2}
5.x+1/2,y+1/2,z
mx,my,mz

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

(
 -1   0   0     0
  0  -1   0   1/2
  0   0   1     0
)
2 0,1/4,z +1 {2z|0,1/2,0}
7d.-x+1/2,y+1/2,-z+1/2
-mx,my,-mz

(
 -1   0   0   1/2
  0   1   0   1/2
  0   0  -1   1/2
)
2 (0,1/2,0) 1/4,y,1/4 +1 {2y|1/2,1/2,1/2}
8.x,-y+1/2,-z+1/2
mx,-my,-mz

(
  1   0   0     0
  0  -1   0   1/2
  0   0  -1   1/2
)
2 x,1/4,1/4 +1 {2x|0,1/2,1/2}
9d.-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}'
10.x+1/2,y,-z
mx,my,-mz

(
  1   0   0   1/2
  0   1   0     0
  0   0  -1     0
) '
a x,y,0 -1 {mz|1/2,0,0}'
11d.x,-y,z+1/2
mx,-my,mz

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

(
 -1   0   0   1/2
  0   1   0     0
  0   0   1   1/2
) '
c 1/4,y,z -1 {mx|1/2,0,1/2}'
13.-x+1/2,-y+1/2,-z
-mx,-my,-mz

(
 -1   0   0   1/2
  0  -1   0   1/2
  0   0  -1     0
) '
-1 1/4,1/4,0 -1 {-1|1/2,1/2,0}'
14d.x,y+1/2,-z
mx,my,-mz

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

(
  1   0   0   1/2
  0  -1   0   1/2
  0   0   1   1/2
) '
n (1/2,0,1/2) x,1/4,z -1 {my|1/2,1/2,1/2}'
16d.-x,y+1/2,z+1/2
-mx,my,mz

(
 -1   0   0     0
  0   1   0   1/2
  0   0   1   1/2
) '
n (0,1/2,1/2) 0,y,z -1 {mx|0,1/2,1/2}'
Show/Hide Derived operators due to the centring translations


Go to the Wyckoff Positions of 68.517 (Cc'c'a')
Go to the extinction rules of 68.517 (Cc'c'a')



Back to the list of magnetic space groups derived from Ccca
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