Bilbao Crystallographic Server MGENPOS General Positions of Magnetic Space Groups Help

## 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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