Bilbao Crystallographic Server arrow MGENPOS arrow Table of Magnetic Space Group Symbols Help

P2c-31m' [#162.7.1309] (Type: 4 -- Type IV (klassengleiche))

[BNS: Pc-31c] #163.84

Operators of Group 162.7.1309 (P2c-31m')

1.x,y,z
mx,my,mz

(
  1   0   0     0
  0   1   0     0
  0   0   1     0
)
1 +1 {1|0,0,0}
2.-y,-x,-z+1
-my,-mx,-mz

(
  0  -1   0     0
 -1   0   0     0
  0   0  -1     1
)
2 x,-x,1/2 +1 {2-xy|0,0,1}
3.-x,-y,-z
mx,my,mz

(
 -1   0   0     0
  0  -1   0     0
  0   0  -1     0
)
-1 0,0,0 +1 {-1|0,0,0}
4.y,x,z+1
-my,-mx,-mz

(
  0   1   0     0
  1   0   0     0
  0   0   1     1
)
g (0,0,1) x,x,z +1 {m-xy|0,0,1}
5.-y,x-y,z
-my,mx-my,mz

(
  0  -1   0     0
  1  -1   0     0
  0   0   1     0
)
3+ 0,0,z +1 {3z|0,0,0}
6.-x+y,-x,z
-mx+my,-mx,mz

(
 -1   1   0     0
 -1   0   0     0
  0   0   1     0
)
3- 0,0,z +1 {3z-1|0,0,0}
7.x,x-y,-z+1
mx,mx-my,-mz

(
  1   0   0     0
  1  -1   0     0
  0   0  -1     1
)
2 2x,x,1/2 +1 {21|0,0,1}
8.-x+y,y,-z+1
-mx+my,my,-mz

(
 -1   1   0     0
  0   1   0     0
  0   0  -1     1
)
2 x,2x,1/2 +1 {22|0,0,1}
9.y,-x+y,-z
-my,mx-my,mz

(
  0   1   0     0
 -1   1   0     0
  0   0  -1     0
)
-3+ 0,0,z; 0,0,0 +1 {-3z|0,0,0}
10.x-y,x,-z
-mx+my,-mx,mz

(
  1  -1   0     0
  1   0   0     0
  0   0  -1     0
)
-3- 0,0,z; 0,0,0 +1 {-3z-1|0,0,0}
11.-x,-x+y,z+1
mx,mx-my,-mz

(
 -1   0   0     0
 -1   1   0     0
  0   0   1     1
)
g (0,0,1) 0,y,z +1 {m1|0,0,1}
12.x-y,-y,z+1
-mx+my,my,-mz

(
  1  -1   0     0
  0  -1   0     0
  0   0   1     1
)
g (0,0,1) x,0,z +1 {m2|0,0,1}
13.x,y,z+1
-mx,-my,-mz

(
  1   0   0     0
  0   1   0     0
  0   0   1     1
) '
t (0,0,1) -1 {1|0,0,1}'
14.-y,-x,-z
my,mx,mz

(
  0  -1   0     0
 -1   0   0     0
  0   0  -1     0
) '
2 x,-x,0 -1 {2-xy|0,0,0}'
15.-x,-y,-z+1
-mx,-my,-mz

(
 -1   0   0     0
  0  -1   0     0
  0   0  -1     1
) '
-1 0,0,1/2 -1 {-1|0,0,1}'
16.y,x,z
my,mx,mz

(
  0   1   0     0
  1   0   0     0
  0   0   1     0
) '
m x,x,z -1 {m-xy|0,0,0}'
17.-y,x-y,z+1
my,-mx+my,-mz

(
  0  -1   0     0
  1  -1   0     0
  0   0   1     1
) '
3+ (0,0,1) 0,0,z -1 {3z|0,0,1}'
18.-x+y,-x,z+1
mx-my,mx,-mz

(
 -1   1   0     0
 -1   0   0     0
  0   0   1     1
) '
3- (0,0,1) 0,0,z -1 {3z-1|0,0,1}'
19.x,x-y,-z
-mx,-mx+my,mz

(
  1   0   0     0
  1  -1   0     0
  0   0  -1     0
) '
2 2x,x,0 -1 {21|0,0,0}'
20.-x+y,y,-z
mx-my,-my,mz

(
 -1   1   0     0
  0   1   0     0
  0   0  -1     0
) '
2 x,2x,0 -1 {22|0,0,0}'
21.y,-x+y,-z+1
my,-mx+my,-mz

(
  0   1   0     0
 -1   1   0     0
  0   0  -1     1
) '
-3+ 0,0,z; 0,0,1/2 -1 {-3z|0,0,1}'
22.x-y,x,-z+1
mx-my,mx,-mz

(
  1  -1   0     0
  1   0   0     0
  0   0  -1     1
) '
-3- 0,0,z; 0,0,1/2 -1 {-3z-1|0,0,1}'
23.-x,-x+y,z
-mx,-mx+my,mz

(
 -1   0   0     0
 -1   1   0     0
  0   0   1     0
) '
m 0,y,z -1 {m1|0,0,0}'
24.x-y,-y,z
mx-my,-my,mz

(
  1  -1   0     0
  0  -1   0     0
  0   0   1     0
) '
m x,0,z -1 {m2|0,0,0}'


Go to the Wyckoff Positions of 162.7.1309 (P2c-31m')
Go to the extinction rules of 163.84 (Pc-31c) ← Corresponding space group in BNS settings



Back to the list of magnetic space groups derived from P-31c
Back to the list of Magnetic Space Groups

Bilbao Crystallographic Server
http://www.cryst.ehu.es
For comments, please mail to
administrador.bcs@ehu.es