Bilbao Crystallographic Server MGENPOS General Positions of Magnetic Space Groups Help

## General Positions of the Group PI43212 (#96.150) [BNS setting]

To display the general positions in the OG setting, please follow this link: IP41'2'2 ( #98.9.822) [Transformation matrix]

### 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 -y+1/2, x+1/2, z+3/4, +1
-my,mx,mz
 0 -1 0 1/2 1 0 0 1/2 0 0 1 3/4
4+ (0,0,3/4) 0,1/2,z +1 { 4+001 | 1/2 1/2 3/4 }
3 y+1/2, -x+1/2, z+1/4, +1
my,-mx,mz
 0 1 0 1/2 -1 0 0 1/2 0 0 1 1/4
4- (0,0,1/4) 1/2,0,z +1 { 4-001 | 1/2 1/2 1/4 }
4 x+1/2, -y+1/2, -z+1/4, +1
mx,-my,-mz
 1 0 0 1/2 0 -1 0 1/2 0 0 -1 1/4
2 (1/2,0,0) x,1/4,1/8 +1 { 2100 | 1/2 1/2 1/4 }
5 -x+1/2, y+1/2, -z+3/4, +1
-mx,my,-mz
 -1 0 0 1/2 0 1 0 1/2 0 0 -1 3/4
2 (0,1/2,0) 1/4,y,3/8 +1 { 2010 | 1/2 1/2 3/4 }
6 -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 }
7 y, x, -z, +1
my,mx,-mz
 0 1 0 0 1 0 0 0 0 0 -1 0
2 x,x,0 +1 { 2110 | 0 }
8 -y, -x, -z+1/2, +1
-my,-mx,-mz
 0 -1 0 0 -1 0 0 0 0 0 -1 1/2
2 x,-x,1/4 +1 { 21-10 | 0 0 1/2 }
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 -y, x, z+1/4, -1
my,-mx,-mz
 0 -1 0 0 1 0 0 0 0 0 1 1/4 '
4+ (0,0,1/4) 0,0,z -1 { 4'+001 | 0 0 1/4 }
11 y, -x, z+3/4, -1
-my,mx,-mz
 0 1 0 0 -1 0 0 0 0 0 1 3/4 '
4- (0,0,3/4) 0,0,z -1 { 4'-001 | 0 0 3/4 }
12 x, -y, -z+3/4, -1
-mx,my,mz
 1 0 0 0 0 -1 0 0 0 0 -1 3/4 '
2 x,0,3/8 -1 { 2'100 | 0 0 3/4 }
13 -x, y, -z+1/4, -1
mx,-my,mz
 -1 0 0 0 0 1 0 0 0 0 -1 1/4 '
2 0,y,1/8 -1 { 2'010 | 0 0 1/4 }
14 -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 }
15 y+1/2, x+1/2, -z+1/2, -1
-my,-mx,mz
 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 { 2'110 | 1/2 1/2 1/2 }
16 -y+1/2, -x+1/2, -z, -1
my,mx,mz
 0 -1 0 1/2 -1 0 0 1/2 0 0 -1 0 '
2 x,-x+1/2,0 -1 { 2'1-10 | 1/2 1/2 0 }

Go to the list of the Wyckoff Positions of the Group PI43212 (#96.150)
Go to the Systematic Absences for the Group PI43212 (#96.150)

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