Abstract
The possibility has been examined that structural symmetry may be utilized to reduce the order of matrices to be treated in the calculation of unperturbed mean-square end-to-end distances of polymer chains. It is found that this is the case for a class of polymers possessing such a symmetry that when all the skeletal bonds are forced to be in the trans conformation the chemical structure is symmetric with respect to the plane involving skeletal bonds. For this class of polymers, the order of matrices is shown to be reduced from 3s to 32s when the cis and trans states are forbidden to occur, and from 3s to 32(s+1) when the cis state is forbidden but the trans state is allowed. Here s is the number of rotational isomeric states of skeletal bonds. It is suggested that the method is equally effective in the calculation of higher even moments of end-to-end distances and optical anisotropies of polymer chains.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
