The Dipole Moment and End-to-End Length of the Isotactic Vinyl Polymer, III. Convergence of Neumann Series

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概要

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• The theory of dipole moment and end-to-end length of isotactic polymer is described. The problem of convergence of the infinite series in the matrix, which expresses a transformation of the bond vector, is studied in detail, a skeletal chain of linear polymer being regarded as a vector sum of many C-C bond vectors. The method of classifying the chain configurations is given on the basis of the convergence property of the series, which is an extension of the Neumann series. The polymer chain must be Gaussian, if the segments of polymer can rotate independently of each other. The hindrance potential for the internal rotation is as-sumed to be of the square-well type.

• 社団法人日本物理学会の論文
• 1961-05-05

著者

• Mori Tsugio

  Otsu Senior High School

関連論文

• A Correction to my Paper "The Dipole Moment and End-to-end Length of the Isotactic Vinyl Polymer, I."
• The Dipole Moment and End-to-End Length of the Isotactic Vinyl Polymer, III. Convergence of Neumann Series
• The Dipole Moment and End-to-end length of the Isotactic vinyl Polymer, II. : A Special Simplified Model and Numerical Calculations
• The Dipole Moment and End-to-end Length of the Isotactic Vinyl Polymer, I. : Mutual Dependence between Dipole Moment and End-to-end Length

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