SYMMETRY OF POLYMERS
Symmetries of polymers are described by the line groups which are classified and their irreducible
representations are tabulated. The magnetic (i.e. time reversal symmetry
included) line groups, together with their correpresentations are derived.
These results are the basis for the research of diverse physical
properties of polymers (phase transitions, selection rules, physical
tensors). The complete classification of the phonon spectra has been
performed, and the vibronic (in)stability of polymers has been established
(Jahn-Teller theorem for polymers). The Molien functions for the line groups
have been calculated what enabled complete determination of the most general
forms of the invariant
potentials for the all quasi-1D systems (applied in analysis of commensurate
and incommensurate phase transition in polymers and 3D crystals).
The computer program POLSym
® enables the efficient analysis of the polymer
properties, implementing their symmetry through the modified group projector
technique. Such studies are easily performed even for complex polymers
as the DNA
macromolecule.
References