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General Positions of the Group P-3m'1 (#164.89)
164.89 P-3m'1 (UNI symbol)

For this space group, BNS and OG settings coincide.
Its label in the OG setting is given as: P-3m'1 (#164.5.1319)

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, x-y, z, +1
-my,mx-my,mz
(
   0  -1   0    0
   1  -1   0    0
   0   0   1    0
)
 3+ 0,0,z +1 { 3+001 | 0 }
3 -x+y, -x, z, +1
-mx+my,-mx,mz
(
  -1   1   0    0
  -1   0   0    0
   0   0   1    0
)
 3- 0,0,z +1 { 3-001 | 0 }
4 -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 }
5 y, -x+y, -z, +1
-my,mx-my,mz
(
   0   1   0    0
  -1   1   0    0
   0   0  -1    0
)
 -3+ 0,0,z 0,0,0 +1 { -3+001 | 0 }
6 x-y, x, -z, +1
-mx+my,-mx,mz
(
   1  -1   0    0
   1   0   0    0
   0   0  -1    0
)
 -3- 0,0,z 0,0,0 +1 { -3-001 | 0 }
7 x-y, -y, -z, -1
-mx+my,my,mz
(
   1  -1   0    0
   0  -1   0    0
   0   0  -1    0
)'
 2 x,0,0 -1 { 2'100 | 0 }
8 y, x, -z, -1
-my,-mx,mz
(
   0   1   0    0
   1   0   0    0
   0   0  -1    0
)'
 2 x,x,0 -1 { 2'110 | 0 }
9 -x, -x+y, -z, -1
mx,mx-my,mz
(
  -1   0   0    0
  -1   1   0    0
   0   0  -1    0
)'
 2 0,y,0 -1 { 2'010 | 0 }
10 -x+y, y, z, -1
-mx+my,my,mz
(
  -1   1   0    0
   0   1   0    0
   0   0   1    0
)'
 m x,2x,z -1 { m'100 | 0 }
11 -y, -x, z, -1
-my,-mx,mz
(
   0  -1   0    0
  -1   0   0    0
   0   0   1    0
)'
 m x,-x,z -1 { m'110 | 0 }
12 x, x-y, z, -1
mx,mx-my,mz
(
   1   0   0    0
   1  -1   0    0
   0   0   1    0
)'
 m 2x,x,z -1 { m'010 | 0 }

Go to the list of the Wyckoff Positions of the Group P-3m'1 (#164.89)
Go to the Systematic Absences for the Group P-3m'1 (#164.89)

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