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General Positions of the Group PIca21 (#29.110) [BNS setting]

29.110 Pca21.1'I[Iba2] (UNI symbol)

To display the general positions in the OG setting, please follow this link: IPba'2' ( #45.6.336) [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, -y, z+1/2, +1
-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 { 2001 | 0 0 1/2 }
3 -x+1/2, y, z+1/2, +1
mx,-my,-mz
(
  -1   0   0   1/2
   0   1   0    0
   0   0   1   1/2
)
 c 1/4,y,z +1 { m100 | 1/2 0 1/2 }
4 x+1/2, -y, z, +1
-mx,my,-mz
(
   1   0   0   1/2
   0  -1   0    0
   0   0   1    0
)
 a x,0,z +1 { m010 | 1/2 0 0 }
5 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 }
6 -x+1/2, -y+1/2, z, -1
mx,my,-mz
(
  -1   0   0   1/2
   0  -1   0   1/2
   0   0   1    0
)'
 2 1/4,1/4,z -1 { 2'001 | 1/2 1/2 0 }
7 -x, y+1/2, z, -1
-mx,my,mz
(
  -1   0   0    0
   0   1   0   1/2
   0   0   1    0
)'
 b 0,y,z -1 { m'100 | 0 1/2 0 }
8 x, -y+1/2, z+1/2, -1
mx,-my,mz
(
   1   0   0    0
   0  -1   0   1/2
   0   0   1   1/2
)'
 c x,1/4,z -1 { m'010 | 0 1/2 1/2 }

Go to the list of the Wyckoff Positions of the Group PIca21 (#29.110)
Go to the Systematic Absences for the Group PIca21 (#29.110)

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