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Chemistry · Glossary

What is Mirror planes?

Also known as: mirror plane · vertical mirror plane · horizontal mirror plane · dihedral mirror plane

Definition 4.3 University Chemistry — Year 3 · Chapter 4 — Symmetry and Point Groups

A mirror plane σ\sigma is a plane through which reflection is a symmetry operation; σ2=E\sigma^2 = E. A mirror plane is a vertical mirror plane σv\sigma_v if it contains the principal axis, a horizontal mirror plane σh\sigma_h if it is perpendicular to it, and a dihedral mirror plane σd\sigma_d if it contains the principal axis and bisects the angle between two C2C_2 axes perpendicular to it.

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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