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Chemistry · Glossary

What is Centre of inversion?

Definition 4.4 University Chemistry — Year 3 · Chapter 4 — Symmetry and Point Groups

A centre of inversion ii is a point through which inversion, (x,y,z)↦(−x,−y,−z)(x, y, z) \mapsto (-x, -y, -z), is a symmetry operation.

Examples

Example 4.19 (An achiral molecule without a plane)

Some molecules have neither a mirror plane nor a centre of inversion, yet are achiral because of an S4S_4 axis: the classic case is a spiro compound built from two identically substituted rings at right angles, of point group S4S_4. Chirality cannot be judged by looking for a plane alone.

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