The matrix elements (Table 1.5) indicate that, following the rules given for the
group elements, the group can be decomposed in subgroups which are smaller
groups of elements satisfying all the requirements of a pristine group; e.g., the two
subgroups are E C C
2
3v r v r
0
v r
00
v .
1.5.3 Representation of Symmetry Operations by Matrices
The symmetry operations can be suitably represented by matrices.
Ν
Η
Η
Η
δ
Ι
ϖ
δ ϖ
δ
ΙΙ
ϖ
(r v ; r
0
v ; r
00
v indicate the symmetry planes).
Symmetry planes of NH 3
1.5 Group Theory
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