Bilbao Crystallographic Server arrow MGENPOS arrow General Positions of Magnetic Space Groups Help

General Positions of the Group Im'm'a (#74.558)
For this space group, BNS and OG settings coincide.
Its label in the OG setting is given as: Im'm'a (#74.5.654)

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+1/2, z, +1
-mx,-my,mz
(
  -1   0   0    0
   0  -1   0   1/2
   0   0   1    0
)
2 0,1/4,z +1 { 2001 | 0 1/2 0 }
3 -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 }
4 x, y+1/2, -z, +1
-mx,-my,mz
(
   1   0   0    0
   0   1   0   1/2
   0   0  -1    0
)
b x,y,0 +1 { m001 | 0 1/2 0 }
5 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 }
6 -x, y+1/2, -z, -1
mx,-my,mz
(
  -1   0   0    0
   0   1   0   1/2
   0   0  -1    0
)'
2 (0,1/2,0) 0,y,0 -1 { 2'010 | 0 1/2 0 }
7 -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 }
8 x, -y+1/2, z, -1
mx,-my,mz
(
   1   0   0    0
   0  -1   0   1/2
   0   0   1    0
)'
m x,1/4,z -1 { m'010 | 0 1/2 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+1/2, -y, z+1/2, +1
-mx,-my,mz
(
  -1   0   0   1/2
   0  -1   0    0
   0   0   1   1/2
)
2 (0,0,1/2) 1/4,0,z +1 { 2001 | 1/2 0 1/2 }
11 -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 }
12 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
)
a x,y,1/4 +1 { m001 | 1/2 0 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
)'
2 (1/2,0,0) x,1/4,1/4 -1 { 2'100 | 1/2 1/2 1/2 }
14 -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
)'
2 1/4,y,1/4 -1 { 2'010 | 1/2 0 1/2 }
15 -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 { m'100 | 1/2 1/2 1/2 }
16 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
)'
n (1/2,0,1/2) x,0,z -1 { m'010 | 1/2 0 1/2 }

Go to the list of the Wyckoff Positions of the Group Im'm'a (#74.558)
Go to the Systematic Absences for the Group Im'm'a (#74.558)

Bilbao Crystallographic Server
http://www.cryst.ehu.es
Licencia de Creative Commons
For comments, please mail to
administrador.bcs@ehu.eus