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Pm'-3'm [#221.94] (Type: 3 -- Type III (translationgleiche))

[OG: Pm'-3'm #221.3.1596]

Operators of Group 221.94 (Pm'-3'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.-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}
3.-x,y,-z
-mx,my,-mz

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

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

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

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

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

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

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

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

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

(
  0  -1   0     0
  0   0  -1     0
  1   0   0     0
)
3- -x,x,-x +1 {3x-yz|0,0,0}
13.-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}
14.y,x,z
-my,-mx,-mz

(
  0   1   0     0
  1   0   0     0
  0   0   1     0
)
m x,x,z +1 {m-xy|0,0,0}
15.-y,x,-z
my,-mx,mz

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

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

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

(
  1   0   0     0
  0   0  -1     0
  0  -1   0     0
)
m x,y,-y +1 {myz|0,0,0}
19.x,z,y
-mx,-mz,-my

(
  1   0   0     0
  0   0   1     0
  0   1   0     0
)
m x,y,y +1 {m-yz|0,0,0}
20.-x,z,-y
mx,-mz,my

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

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

(
  0   0  -1     0
  0   1   0     0
 -1   0   0     0
)
m -x,y,x +1 {mxz|0,0,0}
23.z,-y,-x
-mz,my,mx

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

(
  0   0   1     0
  0   1   0     0
  1   0   0     0
)
m x,y,x +1 {m-xz|0,0,0}
25.y,x,-z
-my,-mx,mz

(
  0   1   0     0
  1   0   0     0
  0   0  -1     0
) '
2 x,x,0 -1 {2xy|0,0,0}'
26.-y,-x,-z
my,mx,mz

(
  0  -1   0     0
 -1   0   0     0
  0   0  -1     0
) '
2 x,-x,0 -1 {2-xy|0,0,0}'
27.y,-x,z
-my,mx,-mz

(
  0   1   0     0
 -1   0   0     0
  0   0   1     0
) '
4- 0,0,z -1 {4z-1|0,0,0}'
28.-y,x,z
my,-mx,-mz

(
  0  -1   0     0
  1   0   0     0
  0   0   1     0
) '
4+ 0,0,z -1 {4z|0,0,0}'
29.x,z,-y
-mx,-mz,my

(
  1   0   0     0
  0   0   1     0
  0  -1   0     0
) '
4- x,0,0 -1 {4x-1|0,0,0}'
30.-x,z,y
mx,-mz,-my

(
 -1   0   0     0
  0   0   1     0
  0   1   0     0
) '
2 0,y,y -1 {2yz|0,0,0}'
31.-x,-z,-y
mx,mz,my

(
 -1   0   0     0
  0   0  -1     0
  0  -1   0     0
) '
2 0,y,-y -1 {2-yz|0,0,0}'
32.x,-z,y
-mx,mz,-my

(
  1   0   0     0
  0   0  -1     0
  0   1   0     0
) '
4+ x,0,0 -1 {4x|0,0,0}'
33.z,y,-x
-mz,-my,mx

(
  0   0   1     0
  0   1   0     0
 -1   0   0     0
) '
4+ 0,y,0 -1 {4y|0,0,0}'
34.z,-y,x
-mz,my,-mx

(
  0   0   1     0
  0  -1   0     0
  1   0   0     0
) '
2 x,0,x -1 {2xz|0,0,0}'
35.-z,y,x
mz,-my,-mx

(
  0   0  -1     0
  0   1   0     0
  1   0   0     0
) '
4- 0,y,0 -1 {4y-1|0,0,0}'
36.-z,-y,-x
mz,my,mx

(
  0   0  -1     0
  0  -1   0     0
 -1   0   0     0
) '
2 -x,0,x -1 {2-xz|0,0,0}'
37.-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}'
38.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}'
39.x,-y,z
mx,-my,mz

(
  1   0   0     0
  0  -1   0     0
  0   0   1     0
) '
m x,0,z -1 {my|0,0,0}'
40.-x,y,z
-mx,my,mz

(
 -1   0   0     0
  0   1   0     0
  0   0   1     0
) '
m 0,y,z -1 {mx|0,0,0}'
41.-z,-x,-y
-mz,-mx,-my

(
  0   0  -1     0
 -1   0   0     0
  0  -1   0     0
) '
-3+ x,x,x 0,0,0 -1 {-3xyz|0,0,0}'
42.-z,x,y
-mz,mx,my

(
  0   0  -1     0
  1   0   0     0
  0   1   0     0
) '
-3+ -x,x,-x 0,0,0 -1 {-3x-yz-1|0,0,0}'
43.z,x,-y
mz,mx,-my

(
  0   0   1     0
  1   0   0     0
  0  -1   0     0
) '
-3+ x,-x,-x 0,0,0 -1 {-3-xyz-1|0,0,0}'
44.z,-x,y
mz,-mx,my

(
  0   0   1     0
 -1   0   0     0
  0   1   0     0
) '
-3+ -x,-x,x 0,0,0 -1 {-3xy-z-1|0,0,0}'
45.-y,-z,-x
-my,-mz,-mx

(
  0  -1   0     0
  0   0  -1     0
 -1   0   0     0
) '
-3- x,x,x 0,0,0 -1 {-3xyz-1|0,0,0}'
46.y,-z,x
my,-mz,mx

(
  0   1   0     0
  0   0  -1     0
  1   0   0     0
) '
-3- x,-x,-x 0,0,0 -1 {-3-xyz|0,0,0}'
47.-y,z,x
-my,mz,mx

(
  0  -1   0     0
  0   0   1     0
  1   0   0     0
) '
-3- -x,-x,x 0,0,0 -1 {-3xy-z|0,0,0}'
48.y,z,-x
my,mz,-mx

(
  0   1   0     0
  0   0   1     0
 -1   0   0     0
) '
-3- -x,x,-x 0,0,0 -1 {-3x-yz|0,0,0}'


Go to the Wyckoff Positions of 221.94 (Pm'-3'm)
Go to the extinction rules of 221.94 (Pm'-3'm)



Back to the list of magnetic space groups derived from Pm-3m
Back to the list of Magnetic Space Groups

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