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General Positions of the Group Ic-42m (#121.332) [BNS setting]

121.332 I-42m.1'c[rP-4m2] (UNI symbol)

To display the general positions in the OG setting, please follow this link: PI-4m2 ( #115.8.948) [Transformation matrix]

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

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

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
mx,-my,-mz
(
   1   0   0    0
   0  -1   0    0
   0   0  -1    0
)
 2 x,0,0 +1 { 2100 | 0 }
3 -x, y, -z, +1
-mx,my,-mz
(
  -1   0   0    0
   0   1   0    0
   0   0  -1    0
)
 2 0,y,0 +1 { 2010 | 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 y, -x, -z, +1
-my,mx,mz
(
   0   1   0    0
  -1   0   0    0
   0   0  -1    0
)
 -4+ 0,0,z 0,0,0 +1 { -4+001 | 0 }
6 -y, x, -z, +1
my,-mx,mz
(
   0  -1   0    0
   1   0   0    0
   0   0  -1    0
)
 -4- 0,0,z 0,0,0 +1 { -4-001 | 0 }
7 -y, -x, z, +1
my,mx,-mz
(
   0  -1   0    0
  -1   0   0    0
   0   0   1    0
)
 m x,-x,z +1 { m110 | 0 }
8 y, x, z, +1
-my,-mx,-mz
(
   0   1   0    0
   1   0   0    0
   0   0   1    0
)
 m x,x,z +1 { m1-10 | 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+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 { 2100 | 1/2 1/2 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
)
 2 (0,1/2,0) 1/4,y,1/4 +1 { 2010 | 1/2 1/2 1/2 }
12 -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 (0,0,1/2) 1/4,1/4,z +1 { 2001 | 1/2 1/2 1/2 }
13 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
)
 -4+ 1/2,0,z 1/2,0,1/4 +1 { -4+001 | 1/2 1/2 1/2 }
14 -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
)
 -4- 0,1/2,z 0,1/2,1/4 +1 { -4-001 | 1/2 1/2 1/2 }
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
)
 c x+1/2,-x,z +1 { m110 | 1/2 1/2 1/2 }
16 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
)
 n (1/2,1/2,1/2) x,x,z +1 { m1-10 | 1/2 1/2 1/2 }
17 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 }
18 x, -y, -z+1/2, -1
-mx,my,mz
(
   1   0   0    0
   0  -1   0    0
   0   0  -1   1/2
)'
 2 x,0,1/4 -1 { 2'100 | 0 0 1/2 }
19 -x, y, -z+1/2, -1
mx,-my,mz
(
  -1   0   0    0
   0   1   0    0
   0   0  -1   1/2
)'
 2 0,y,1/4 -1 { 2'010 | 0 0 1/2 }
20 -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 }
21 y, -x, -z+1/2, -1
my,-mx,-mz
(
   0   1   0    0
  -1   0   0    0
   0   0  -1   1/2
)'
 -4+ 0,0,z 0,0,1/4 -1 { -4'+001 | 0 0 1/2 }
22 -y, x, -z+1/2, -1
-my,mx,-mz
(
   0  -1   0    0
   1   0   0    0
   0   0  -1   1/2
)'
 -4- 0,0,z 0,0,1/4 -1 { -4'-001 | 0 0 1/2 }
23 -y, -x, z+1/2, -1
-my,-mx,mz
(
   0  -1   0    0
  -1   0   0    0
   0   0   1   1/2
)'
 c x,-x,z -1 { m'110 | 0 0 1/2 }
24 y, x, z+1/2, -1
my,mx,mz
(
   0   1   0    0
   1   0   0    0
   0   0   1   1/2
)'
 c x,x,z -1 { m'1-10 | 0 0 1/2 }
25 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 }
26 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 { 2'100 | 1/2 1/2 0 }
27 -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 { 2'010 | 1/2 1/2 0 }
28 -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 }
29 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
)'
 -4+ 1/2,0,z 1/2,0,0 -1 { -4'+001 | 1/2 1/2 0 }
30 -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
)'
 -4- 0,1/2,z 0,1/2,0 -1 { -4'-001 | 1/2 1/2 0 }
31 -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
)'
 m x+1/2,-x,z -1 { m'110 | 1/2 1/2 0 }
32 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
)'
 g (1/2,1/2,0) x,x,z -1 { m'1-10 | 1/2 1/2 0 }

Go to the list of the Wyckoff Positions of the Group Ic-42m (#121.332)
Go to the Systematic Absences for the Group Ic-42m (#121.332)

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