Molecular Symmetry and Chirality
Improper Rotation Axis
Note: viewing the structures on these pages requires use of the MDL Chime Plug-In.

The Sn operation rotates a molecule about an axis by 360º/n, and then reflects through a mirror plane orthogonal to that axis. In effect, the Sn operation equals the sequential operations Cn + σh, although the presence of an Sn element does not always imply the presence of either a Cn or σh element alone.
An Sn element with an odd n value requires both Cn and σh elements. An Sn element with an even n value may or may not have these elements.
The S1 operation is identical to σ, while the S2 operation is identical to i.

Re(CH3)6 has an S3 improper rotation axis. Note that the odd value of n means that the compound also has a C3 axis and a σh mirror plane.

Display S3 axis.
Perform S3 rotation and reflection. (For clarity, only the C atoms are shown to undergo the operation.)

Methane has a four S4 improper rotation axes. Note that the value of n is even, and that in this case there is neither a C4 axis nor a σh.

Display S4 axis.
Perform S4 rotation and reflection.


This page is maintained and copyright by W. Stephen McNeil at UBC Okanagan.
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