A transformation that preserves a specified structure, including the chemical identity of sites in a molecule. Rotations, reflections, inversion and improper rotations can occur in a molecular point group. The associated action on atomic orbitals also changes their orientations and signs, which must be included when computing a character of a representation.
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A symmetry operation is a mathematical or geometrical transformation that leaves an object or a system invariant in some sense. In other words, after the operation is applied, the object appears unchanged in its essential properties. Symmetry operations are commonly discussed in various fields, including mathematics, physics, chemistry, and art. Here are some key points regarding symmetry operations: 1. **Types of Symmetry Operations**: - **Translation**: Moving an object from one position to another without rotating or flipping it.