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General Positions of the Group PInnm (#58.404) [BNS setting]


To display the general positions in the OG setting, please follow this link: IPm'm'm ( #71.8.628) [Transformation matrix]

Translation lattice generators: (1|1,0,0), (1|0,1,0), (1|0,0,1), (1|0,0,0)

Black-and-white lattice generators: (1|1,0,0), (1|0,1,0), (1|0,0,1), (1'|1/2,1/2,1/2)

N Standard/Default Setting
(x,y,z) form Matrix form Geom. interp. Seitz notation
1 x, y, z, +1
mx,my,mz
(
   1   0   0    0
   0   1   0    0
   0   0   1    0
)
1 +1 { 1 | 0 }
2 x+1/2, -y+1/2, -z+1/2, +1
mx,-my,-mz
(
   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 { 2100 | 1/2 1/2 1/2 }
3 -x+1/2, y+1/2, -z+1/2, +1
-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 { 2010 | 1/2 1/2 1/2 }
4 -x, -y, z, +1
-mx,-my,mz
(
  -1   0   0    0
   0  -1   0    0
   0   0   1    0
)
2 0,0,z +1 { 2001 | 0 }
5 -x, -y, -z, +1
mx,my,mz
(
  -1   0   0    0
   0  -1   0    0
   0   0  -1    0
)
-1 0,0,0 +1 { -1 | 0 }
6 -x+1/2, y+1/2, z+1/2, +1
mx,-my,-mz
(
  -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 { m100 | 1/2 1/2 1/2 }
7 x+1/2, -y+1/2, z+1/2, +1
-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 { m010 | 1/2 1/2 1/2 }
8 x, y, -z, +1
-mx,-my,mz
(
   1   0   0    0
   0   1   0    0
   0   0  -1    0
)
m x,y,0 +1 { m001 | 0 }
9 x+1/2, y+1/2, z+1/2, -1
-mx,-my,-mz
(
   1   0   0   1/2
   0   1   0   1/2
   0   0   1   1/2
)'
t (1/2,1/2,1/2) -1 { 1' | 1/2 1/2 1/2 }
10 x, -y, -z, -1
-mx,my,mz
(
   1   0   0    0
   0  -1   0    0
   0   0  -1    0
)'
2 x,0,0 -1 { 2'100 | 0 }
11 -x, y, -z, -1
mx,-my,mz
(
  -1   0   0    0
   0   1   0    0
   0   0  -1    0
)'
2 0,y,0 -1 { 2'010 | 0 }
12 -x+1/2, -y+1/2, z+1/2, -1
mx,my,-mz
(
  -1   0   0   1/2
   0  -1   0   1/2
   0   0   1   1/2
)'
2 (0,0,1/2) 1/4,1/4,z -1 { 2'001 | 1/2 1/2 1/2 }
13 -x+1/2, -y+1/2, -z+1/2, -1
-mx,-my,-mz
(
  -1   0   0   1/2
   0  -1   0   1/2
   0   0  -1   1/2
)'
-1 1/4,1/4,1/4 -1 { -1' | 1/2 1/2 1/2 }
14 -x, y, z, -1
-mx,my,mz
(
  -1   0   0    0
   0   1   0    0
   0   0   1    0
)'
m 0,y,z -1 { m'100 | 0 }
15 x, -y, z, -1
mx,-my,mz
(
   1   0   0    0
   0  -1   0    0
   0   0   1    0
)'
m x,0,z -1 { m'010 | 0 }
16 x+1/2, y+1/2, -z+1/2, -1
mx,my,-mz
(
   1   0   0   1/2
   0   1   0   1/2
   0   0  -1   1/2
)'
n (1/2,1/2,0) x,y,1/4 -1 { m'001 | 1/2 1/2 1/2 }

Go to the list of the Wyckoff Positions of the Group PInnm (#58.404)
Go to the Systematic Absences for the Group PInnm (#58.404)

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