This page discusses symmetry operations and elements in 3D space, including identity, rotation, reflection, inversion, and improper rotation, which help characterize molecular symmetry. It explains ho...This page discusses symmetry operations and elements in 3D space, including identity, rotation, reflection, inversion, and improper rotation, which help characterize molecular symmetry. It explains how to define molecular coordinate systems and classify molecules into point groups using notation systems like Schönflies and Hermann-Mauguin. The text relates symmetry to physical properties, such as chirality and dipole moments, showing how certain symmetries influence these characteristics.