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General Positions of the Group Ccc (#9.40) [BNS setting]


To display the general positions in the OG setting, please follow this link: C2cm' ( #8.6.43) [Transformation matrix]

Translation lattice generators: (1|1,0,0), (1|0,1,0), (1|0,0,1), (1|0,0,0), (1|1/2,1/2,0)

Black-and-white lattice generators: (1|1,0,0), (1|0,1,0), (1|0,0,1), (1|1/2,1/2,0), (1'|0,0,1/2) , (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
)
c x,0,z +1 { m010 | 0 0 1/2 }
3 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
)
t (1/2,1/2,0) +1 { 1 | 1/2 1/2 0 }
4 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 }
5 x, y, z+1/2, -1
-mx,-my,-mz
(
   1   0   0    0
   0   1   0    0
   0   0   1   1/2
)'
t (0,0,1/2) -1 { 1' | 0 0 1/2 }
6 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 }
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
)'
t (1/2,1/2,1/2) -1 { 1' | 1/2 1/2 1/2 }
8 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
)'
a x,1/4,z -1 { m'010 | 1/2 1/2 0 }

Go to the list of the Wyckoff Positions of the Group Ccc (#9.40)
Go to the Systematic Absences for the Group Ccc (#9.40)

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