Bilbao Crystallographic Server MGENPOS General Positions of Magnetic Space Groups Help

## General Positions of the Group I41/a (#88.81) 88.81 I41/a.1 (UNI symbol)For this space group, BNS and OG settings coincide.Its label in the OG setting is given as: I41/a (#88.1.742)

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+3/4, x+1/4, z+1/4, +1
-my,mx,mz
 ``` 0 -1 0 3/4 1 0 0 1/4 0 0 1 1/4```
4+ (0,0,1/4) 1/4,1/2,z +1 { 4+001 | 3/4 1/4 1/4 }
3 y+1/4, -x+1/4, z+1/4, +1
my,-mx,mz
 ``` 0 1 0 1/4 -1 0 0 1/4 0 0 1 1/4```
4- (0,0,1/4) 1/4,0,z +1 { 4-001 | 1/4 1/4 1/4 }
4 -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 }
5 -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 }
6 y+1/4, -x+3/4, -z+3/4, +1
-my,mx,mz
 ``` 0 1 0 1/4 -1 0 0 3/4 0 0 -1 3/4```
-4+ 1/2,1/4,z 1/2,1/4,3/8 +1 { -4+001 | 1/4 3/4 3/4 }
7 -y+3/4, x+3/4, -z+3/4, +1
my,-mx,mz
 ``` 0 -1 0 3/4 1 0 0 3/4 0 0 -1 3/4```
-4- 0,3/4,z 0,3/4,3/8 +1 { -4-001 | 3/4 3/4 3/4 }
8 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 }
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 -y+1/4, x+3/4, z+3/4, +1
-my,mx,mz
 ``` 0 -1 0 1/4 1 0 0 3/4 0 0 1 3/4```
4+ (0,0,3/4) -1/4,1/2,z +1 { 4+001 | 1/4 3/4 3/4 }
11 y+3/4, -x+3/4, z+3/4, +1
my,-mx,mz
 ``` 0 1 0 3/4 -1 0 0 3/4 0 0 1 3/4```
4- (0,0,3/4) 3/4,0,z +1 { 4-001 | 3/4 3/4 3/4 }
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```
2 (0,0,1/2) 1/4,0,z +1 { 2001 | 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```
-1 1/4,1/4,1/4 +1 { -1 | 1/2 1/2 1/2 }
14 y+3/4, -x+1/4, -z+1/4, +1
-my, mx, mz
 ``` 0 1 0 3/4 -1 0 0 1/4 0 0 -1 1/4```
-4+ 1/2,-1/4,z 1/2,-1/4,1/8 +1 { -4+001 | 3/4 1/4 1/4 }
15 -y+1/4, x+1/4, -z+1/4, +1
my, -mx, mz
 ``` 0 -1 0 1/4 1 0 0 1/4 0 0 -1 1/4```
-4- 0,1/4,z 0,1/4,1/8 +1 { -4-001 | 1/4 1/4 1/4 }
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```
a x,y,1/4 +1 { m001 | 1/2 0 1/2 }

Go to the list of the Wyckoff Positions of the Group I41/a (#88.81)
Go to the Systematic Absences for the Group I41/a (#88.81)

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