Deriving the Matrix Representation of Molecular Point Groups Using the Product of Symmetric Operation Matrix Representation
Based on matrix multiplication,the third symmetric operation,which is equivalent to the product of different symmetric operations,was deduced in this paper.Furthermore,it was proposed how the group containing different symmetric elements can be derived from the direct product of its subgroups.At the same time,the new symmetric elements can be derived from the multiplication of its group elements.
Symmetric operationSymmetric elementsThe direct product of a groupSymmetric operation multiplication