Bilbao Crystallographic Server arrow COREPRESENTATIONS PG

Irreducible corepresentations of the Projective Magnetic Point Group 4'


Table of characters of the unitary symmetry operations


1
2
d1
d2
A
1
1
1
1
BB
2
-2
2
-2
2E1E
2
0
-2
0

Multiplication table of the symmetry operations


1
2
d1
d2
4+'
4-'
d4+'
d4-'
1
1
2
d1
d2
4+'
4-'
d4+'
d4-'
2
2
d1
d2
1
d4-'
4+'
4-'
d4+'
d1
d1
d2
1
2
d4+'
d4-'
4+'
4-'
d2
d2
1
2
d1
4-'
d4+'
d4-'
4+'
4+'
4+'
d4-'
d4+'
4-'
d2
d1
2
1
4-'
4-'
4+'
d4-'
d4+'
d1
2
1
d2
d4+'
d4+'
4-'
4+'
d4-'
2
1
d2
d1
d4-'
d4-'
d4+'
4-'
4+'
1
d2
d1
2

Table of projective phases in group multiplication


1
2
d1
d2
4+'
4-'
d4+'
d4-'
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
d1
1
1
1
1
1
1
1
1
d2
1
1
1
1
1
1
1
1
4+'
1
1
1
1
1
1
1
1
4-'
1
1
1
1
1
1
1
1
d4+'
1
1
1
1
1
1
1
1
d4-'
1
1
1
1
1
1
1
1

Matrices of the representations of the group

The antiunitary operations are written in red color
NMatrix presentationSeitz symbolABB2E1E
1
(
1 0
0 1
)
(
1 0
0 1
)
1
1
(
1 0
0 1
)
(
1 0
0 1
)
2
(
-1 0
0 -1
)
(
-i 0
0 i
)
2
1
(
-1 0
0 -1
)
(
-i 0
0 i
)
3
(
1 0
0 1
)
(
-1 0
0 -1
)
d1
1
(
1 0
0 1
)
(
-1 0
0 -1
)
4
(
-1 0
0 -1
)
(
i 0
0 -i
)
d2
1
(
-1 0
0 -1
)
(
i 0
0 -i
)
5
(
0 -1
1 0
)
(
e-iπ/4 0
0 eiπ/4
)
4+'
-1
(
0 1
-1 0
)
(
0 i
1 0
)
6
(
0 1
-1 0
)
(
eiπ/4 0
0 e-iπ/4
)
4-'
-1
(
0 -1
1 0
)
(
0 -1
-i 0
)
7
(
0 -1
1 0
)
(
e3iπ/4 0
0 e-3iπ/4
)
d4+'
-1
(
0 1
-1 0
)
(
0 -i
-1 0
)
8
(
0 1
-1 0
)
(
e-3iπ/4 0
0 e3iπ/4
)
d4-'
-1
(
0 -1
1 0
)
(
0 1
i 0
)
k-Subgroupsmag
Bilbao Crystallographic Server
http://www.cryst.ehu.es
For comments, please mail to
administrador.bcs@ehu.eus