Molecular Symmetry
Symmetry operations classify molecules into point groups.
Practise Analytical, Lab & Spectroscopy All Analytical, Lab & Spectroscopy topics
Symmetry operations classify molecules into point groups.
Practise Analytical, Lab & Spectroscopy All Analytical, Lab & Spectroscopy topics
The symmetry of a molecule is described by its symmetry elements, namely rotation axes, mirror planes, a centre of inversion and improper rotation axes, together with the operations associated with them. A molecule is assigned to a point group that collects all of its symmetry operations, such as C2v for water, D6h for benzene and Td for methane. Symmetry determines whether a molecule has a permanent dipole moment, whether it is chiral and which spectroscopic transitions are allowed. For example, a molecule with a centre of inversion cannot have a permanent dipole moment. Recognizing symmetry is therefore the first step in analysing structure and spectra.
Key ideas: Procedure: find the highest rotation axis, check for perpendicular C2 axes, then mirror planes, inversion centre and S_n axes. Use the flowchart to the point group. Examples: NH3 is C3v, BF3 is D3h, H2O is C2v, CH4 is Td, SF6 is Oh, CO2 is D-infinity-h. Chirality requires no improper axis (no mirror plane, no inversion centre). Polar molecules belong only to C1, Cs, Cn or Cnv groups.
Common mistakes and connections: Students mistake a planar molecule for being symmetrical in all ways, or confuse a mirror plane with a rotation axis. Overlooking hidden S_n axes leads to a wrong chirality call. Conformation matters, because staggered and eclipsed ethane have different point groups. Related to dipole moment, VSEPR geometry, chirality and group theory.
Benzene belongs to point group D6h, with a sixfold axis, mirror planes and an inversion centre, so it has no permanent dipole moment. The interactive lesson shows this as a live animation or chart.
Carbon dioxide is linear with a centre of inversion, so it has no permanent dipole.
Symmetry operations classify molecules into point groups.
Molecular Symmetry is a advanced topic in Analytical, Lab & Spectroscopy. It builds on beginner and intermediate topics, so review those first if needed.
Study these earlier topics in Analytical, Lab & Spectroscopy first: Particle in a Box, Harmonic Oscillator Model, Rigid Rotor Model.
The next topics in Analytical, Lab & Spectroscopy are Group Theory in Chemistry and Selection Rules.
Yes. The interactive lesson includes a self-check question on Molecular Symmetry, and the Analytical, Lab & Spectroscopy quiz draws on every topic in this area.
Molecular Symmetry is topic 91 of 99 in Analytical, Lab & Spectroscopy.