Synopsis: The previous theory10,11 treating the analogous problem is developed to rigorously include the interactions between the atomic groups whose relative spatial configurations are determined by rotational angles of two neighbouring bonds. The mean squares of the end-to-end distance and / or electric moment are calculated for isotactic and syndystactic vinyl polymers and a few other polymers with similar structure. As a model of linear macromolecules is adopted the discontinuous one whose

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... ach C-C bond is assumed to have only three configurations of trans, gauche and another gauche, In such the model the problem of taking account of all interactions between neighbouring bonds corresponds to the one-dimensional cooperative system. While the partition function of this system can be easily obtained, sume device is required to find the mean quandities under consideration. Results involue the task to evaluate the trace of a certain matrix of order 364