鎖状高分子の局所的立体障害と溶液中にをける状態について. I. Formulation.

抄録

The previous theory^{10, 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 each 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, some device is required to find the mean quantities under consideration. Results involve the task to evaluate the trace of a certain matrix of order of 9. Numerical calculations by a computer and discussions of the results will be given in part II of this series.