Bilbao Crystallographic Server MGENPOS General Positions of Magnetic Space Groups Help

## General Positions of the Group P63'/m'cm' (#193.259) 193.259 P63'/m'cm' (UNI symbol)For this space group, BNS and OG settings coincide.Its label in the OG setting is given as: P63'/m'cm' (#193.7.1491)

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, -y, -z+1/2, +1
mx-my,-my,-mz
 ``` 1 -1 0 0 0 -1 0 0 0 0 -1 1/2```
2 x,0,1/4 +1 { 2100 | 0 0 1/2 }
5 y, x, -z+1/2, +1
my,mx,-mz
 ``` 0 1 0 0 1 0 0 0 0 0 -1 1/2```
2 x,x,1/4 +1 { 2110 | 0 0 1/2 }
6 -x, -x+y, -z+1/2, +1
-mx,-mx+my,-mz
 ``` -1 0 0 0 -1 1 0 0 0 0 -1 1/2```
2 0,y,1/4 +1 { 2010 | 0 0 1/2 }
7 -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 }
8 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 }
9 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 }
10 -x+y, y, z+1/2, +1
mx-my,-my,-mz
 ``` -1 1 0 0 0 1 0 0 0 0 1 1/2```
c x,2x,z +1 { m100 | 0 0 1/2 }
11 -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 { m110 | 0 0 1/2 }
12 x, x-y, z+1/2, +1
-mx,-mx+my,-mz
 ``` 1 0 0 0 1 -1 0 0 0 0 1 1/2```
c 2x,x,z +1 { m010 | 0 0 1/2 }
13 x-y, x, z+1/2, -1
-mx+my,-mx,-mz
 ``` 1 -1 0 0 1 0 0 0 0 0 1 1/2``` '
6+ (0,0,1/2) 0,0,z -1 { 6'+001 | 0 0 1/2 }
14 -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 }
15 y, -x+y, z+1/2, -1
-my,mx-my,-mz
 ``` 0 1 0 0 -1 1 0 0 0 0 1 1/2``` '
6- (0,0,1/2) 0,0,z -1 { 6'-001 | 0 0 1/2 }
16 x, x-y, -z, -1
-mx,-mx+my,mz
 ``` 1 0 0 0 1 -1 0 0 0 0 -1 0``` '
2 2x,x,0 -1 { 2'210 | 0 }
17 -x+y, y, -z, -1
mx-my,-my,mz
 ``` -1 1 0 0 0 1 0 0 0 0 -1 0``` '
2 x,2x,0 -1 { 2'120 | 0 }
18 -y, -x, -z, -1
my,mx,mz
 ``` 0 -1 0 0 -1 0 0 0 0 0 -1 0``` '
2 x,-x,0 -1 { 2'1-10 | 0 }
19 -x+y, -x, -z+1/2, -1
-mx+my,-mx,-mz
 ``` -1 1 0 0 -1 0 0 0 0 0 -1 1/2``` '
-6+ 0,0,z 0,0,1/4 -1 { -6'+001 | 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``` '
m x,y,1/4 -1 { m'001 | 0 0 1/2 }
21 -y, x-y, -z+1/2, -1
-my,mx-my,-mz
 ``` 0 -1 0 0 1 -1 0 0 0 0 -1 1/2``` '
-6- 0,0,z 0,0,1/4 -1 { -6'-001 | 0 0 1/2 }
22 -x, -x+y, z, -1
-mx,-mx+my,mz
 ``` -1 0 0 0 -1 1 0 0 0 0 1 0``` '
m 0,y,z -1 { m'210 | 0 }
23 x-y, -y, z, -1
mx-my,-my,mz
 ``` 1 -1 0 0 0 -1 0 0 0 0 1 0``` '
m x,0,z -1 { m'120 | 0 }
24 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'1-10 | 0 }

Go to the list of the Wyckoff Positions of the Group P63'/m'cm' (#193.259)
Go to the Systematic Absences for the Group P63'/m'cm' (#193.259)

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