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General Positions of the Group P213 (#198.9)
198.9 P213.1 (UNI symbol)

For this space group, BNS and OG settings coincide.
Its label in the OG setting is given as: P213 (#198.1.1511)

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, y+1/2, -z+1/2, +1
-mx,my,-mz
(
  -1   0   0    0
   0   1   0   1/2
   0   0  -1   1/2
)
 2 (0,1/2,0) 0,y,1/4 +1 { 2010 | 0 1/2 1/2 }
4 -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 }
5 z, x, y, +1
mz,mx,my
(
   0   0   1    0
   1   0   0    0
   0   1   0    0
)
 3+ x,x,x +1 { 3+111 | 0 }
6 y, z, x, +1
my,mz,mx
(
   0   1   0    0
   0   0   1    0
   1   0   0    0
)
 3- x,x,x +1 { 3-111 | 0 }
7 -y, z+1/2, -x+1/2, +1
-my,mz,-mx
(
   0  -1   0    0
   0   0   1   1/2
  -1   0   0   1/2
)
 3- (-1/3,1/3,1/3) x+1/6,-x+1/6,-x +1 { 3-1-1-1 | 0 1/2 1/2 }
8 -z+1/2, -x, y+1/2, +1
-mz,-mx,my
(
   0   0  -1   1/2
  -1   0   0    0
   0   1   0   1/2
)
 3+ x+1/2,-x,-x +1 { 3+1-1-1 | 1/2 0 1/2 }
9 -y+1/2, -z, x+1/2, +1
-my,-mz,mx
(
   0  -1   0   1/2
   0   0  -1    0
   1   0   0   1/2
)
 3- (1/3,-1/3,1/3) -x-1/6,x+1/3,-x +1 { 3--11-1 | 1/2 0 1/2 }
10 z+1/2, -x+1/2, -y, +1
mz,-mx,-my
(
   0   0   1   1/2
  -1   0   0   1/2
   0  -1   0    0
)
 3+ -x+1/2,x,-x +1 { 3+-11-1 | 1/2 1/2 0 }
11 y+1/2, -z+1/2, -x, +1
my,-mz,-mx
(
   0   1   0   1/2
   0   0  -1   1/2
  -1   0   0    0
)
 3- (1/3,1/3,-1/3) -x+1/3,-x+1/6,x +1 { 3--1-11 | 1/2 1/2 0 }
12 -z, x+1/2, -y+1/2, +1
-mz,mx,-my
(
   0   0  -1    0
   1   0   0   1/2
   0  -1   0   1/2
)
 3+ -x,-x+1/2,x +1 { 3+-1-11 | 0 1/2 1/2 }

Go to the list of the Wyckoff Positions of the Group P213 (#198.9)
Go to the Systematic Absences for the Group P213 (#198.9)

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