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P4/mnc1' [#128.400] (Type: 2 -- Type II (grey group))

[OG: P4/mnc1' #128.2.1067]

Operators of Group 128.400 (P4/mnc1')

1.x,y,z
0,0,0

(
  1   0   0     0
  0   1   0     0
  0   0   1     0
)
1 +1 {1|0,0,0}
2.-x,-y,z
0,0,0

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

(
  0  -1   0     0
  1   0   0     0
  0   0   1     0
)
4+ 0,0,z +1 {4z|0,0,0}
4.y,-x,z
0,0,0

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

(
 -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}
6.x+1/2,-y+1/2,-z+1/2
0,0,0

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

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

(
  0  -1   0   1/2
 -1   0   0   1/2
  0   0  -1   1/2
)
2 x,-x+1/2,1/4 +1 {2-xy|1/2,1/2,1/2}
9.-x,-y,-z
0,0,0

(
 -1   0   0     0
  0  -1   0     0
  0   0  -1     0
)
-1 0,0,0 +1 {-1|0,0,0}
10.x,y,-z
0,0,0

(
  1   0   0     0
  0   1   0     0
  0   0  -1     0
)
m x,y,0 +1 {mz|0,0,0}
11.y,-x,-z
0,0,0

(
  0   1   0     0
 -1   0   0     0
  0   0  -1     0
)
-4+ 0,0,z 0,0,0 +1 {-4z|0,0,0}
12.-y,x,-z
0,0,0

(
  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}
13.x+1/2,-y+1/2,z+1/2
0,0,0

(
  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}
14.-x+1/2,y+1/2,z+1/2
0,0,0

(
 -1   0   0   1/2
  0   1   0   1/2
  0   0   1   1/2
)
n (0,1/2,1/2) 1/4,y,z +1 {mx|1/2,1/2,1/2}
15.-y+1/2,-x+1/2,z+1/2
0,0,0

(
  0  -1   0   1/2
 -1   0   0   1/2
  0   0   1   1/2
)
c x+1/2,-x,z +1 {mxy|1/2,1/2,1/2}
16.y+1/2,x+1/2,z+1/2
0,0,0

(
  0   1   0   1/2
  1   0   0   1/2
  0   0   1   1/2
)
n (1/2,1/2,1/2) x,x,z +1 {m-xy|1/2,1/2,1/2}
17.x,y,z
0,0,0

(
  1   0   0     0
  0   1   0     0
  0   0   1     0
) '
1 -1 {1|0,0,0}'
18.-x,-y,z
0,0,0

(
 -1   0   0     0
  0  -1   0     0
  0   0   1     0
) '
2 0,0,z -1 {2z|0,0,0}'
19.-y,x,z
0,0,0

(
  0  -1   0     0
  1   0   0     0
  0   0   1     0
) '
4+ 0,0,z -1 {4z|0,0,0}'
20.y,-x,z
0,0,0

(
  0   1   0     0
 -1   0   0     0
  0   0   1     0
) '
4- 0,0,z -1 {4z-1|0,0,0}'
21.-x+1/2,y+1/2,-z+1/2
0,0,0

(
 -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}'
22.x+1/2,-y+1/2,-z+1/2
0,0,0

(
  1   0   0   1/2
  0  -1   0   1/2
  0   0  -1   1/2
) '
2 (1/2,0,0) x,1/4,1/4 -1 {2x|1/2,1/2,1/2}'
23.y+1/2,x+1/2,-z+1/2
0,0,0

(
  0   1   0   1/2
  1   0   0   1/2
  0   0  -1   1/2
) '
2 (1/2,1/2,0) x,x,1/4 -1 {2xy|1/2,1/2,1/2}'
24.-y+1/2,-x+1/2,-z+1/2
0,0,0

(
  0  -1   0   1/2
 -1   0   0   1/2
  0   0  -1   1/2
) '
2 x,-x+1/2,1/4 -1 {2-xy|1/2,1/2,1/2}'
25.-x,-y,-z
0,0,0

(
 -1   0   0     0
  0  -1   0     0
  0   0  -1     0
) '
-1 0,0,0 -1 {-1|0,0,0}'
26.x,y,-z
0,0,0

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

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

(
  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}'
29.x+1/2,-y+1/2,z+1/2
0,0,0

(
  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}'
30.-x+1/2,y+1/2,z+1/2
0,0,0

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

(
  0  -1   0   1/2
 -1   0   0   1/2
  0   0   1   1/2
) '
c x+1/2,-x,z -1 {mxy|1/2,1/2,1/2}'
32.y+1/2,x+1/2,z+1/2
0,0,0

(
  0   1   0   1/2
  1   0   0   1/2
  0   0   1   1/2
) '
n (1/2,1/2,1/2) x,x,z -1 {m-xy|1/2,1/2,1/2}'


Go to the Wyckoff Positions of 128.400 (P4/mnc1')
Go to the extinction rules of 128.400 (P4/mnc1')



Back to the list of magnetic space groups derived from P4/mnc
Back to the list of Magnetic Space Groups

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