希薄高分子溶液の誘電率 : 高分子レオロジー
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概要
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Ordinarily electric moment of linear polymers can experimentally be obtained from measurements of the dielectric constant by the use of the Debye's formula, and its theoretical calculation is made using the same method as in the case of the end-to-end distance. These methods however, are not always correct if in the fairly dilute polymer solution we consider the effect of the long range interaction, i.e. dipole-dipole one, between the segments within a polymer chain upon the dielectric properties. The reason is that the internal electric field is not uniform in the volume occupied by a polymer chain. We show that the Debye's formula can be amended by taking account of the heterogeneous distribution of polar segments constituting the polymer chain. Consider a polymer chain which consists of x freely rotating segments of dipole moment μ, and is immersed in the volume V of the solution. Its solvent is assumed to be non-polar. In this model we have to remark that a segment does not correspond to a structural unit, but is composed of several ones. Dividing the said volume into a large number of cells the apparent dielectric constant ε_a is given by ε_a-1=Σ__(all cells) (ε_i-1) v_i/V, where ε_i is the dielectric constant of the i-the cell, v_i is its volume. Further, it is assumed that the internal field in each cell is that of Lorentz type and the distribution of the polar segments is gaussian around the center of mass of the chain.
- 社団法人日本材料学会の論文
- 1961-05-15
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- N.Rashevsky: "Mathematical Biophysics, Physico-Mathematical Foundations of Biology", Dover Publications, New York, 1960. VoI. I, 488頁, Vol. II, 462頁, 14×20.5cm, 各巻$2.50.
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