Introduction into the
Symmetry of Molecules

Step: 179

Preface (german) Table of Content Remarks Imprint

1. Axiom l is fulfilled; a symmetry operation (product) is assigned to two other symmetry operations. That is against-given even by the multiplication board.
2. We want to check the validity of the associative law by two examples. It applies e.g.. s _v⁽²⁾ (C ₃² s _v⁽³⁾ ) = ( s _v⁽²⁾ C ₃²) s _v⁽³⁾; with the help of the multiplication board we form:
s _v⁽²⁾ (C ₃² s _v⁽³⁾ ) = s _v⁽²⁾ s _v⁽¹⁾ = C ₃²
s _v⁽²⁾ (C ₃² s _v⁽³⁾ ) = s _v⁽²⁾ s _v⁽³⁾ = C ₃²

Show in the same way that C ₃² ( s _v⁽¹⁾ C ₃) = (C ₃² s _v⁽¹⁾ ) C ₃

Go now to step 181 !

Introduction into the Symmetry of Molecules

Step: 179

Introduction into the
Symmetry of Molecules