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General Positions of the Group Pc21212 (#18.21) [BNS setting]

To display the general positions in the OG setting, please follow this link: P2c21212 ( #18.5.117) [Transformation matrix]

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

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
mx,-my,-mz
 ``` 1 0 0 1/2 0 -1 0 1/2 0 0 -1 0```
2 (1/2,0,0) x,1/4,0 +1 { 2100 | 1/2 1/2 0 }
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```
2 (0,1/2,0) 1/4,y,0 +1 { 2010 | 1/2 1/2 0 }
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+1/2, -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+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 { 2'100 | 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``` '
2 (0,1/2,0) 1/4,y,1/4 -1 { 2'010 | 1/2 1/2 1/2 }
8 -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 { 2'001 | 0 0 1/2 }

Go to the list of the Wyckoff Positions of the Group Pc21212 (#18.21)
Go to the Systematic Absences for the Group Pc21212 (#18.21)

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