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A Theory of Orientation Correlations in Crystalline Polymeric Solids

 

作者: Richard S. Stein,   S. N. Stidham,  

 

期刊: Journal of Applied Physics  (AIP Available online 1964)
卷期: Volume 35, issue 1  

页码: 42-46

 

ISSN:0021-8979

 

年代: 1964

 

DOI:10.1063/1.1713096

 

出版商: AIP

 

数据来源: AIP

 

摘要:

The scattering of light from crystalline polyolefins results principally from a correlation in crystal orientation described by an empirical Debye‐Bueche correlation functionf(r)=exp(−r/a) for crystals separated by distancer. A one‐dimensional theory is developed in which neighboring crystals may differ in orientation by a small angle ±&dgr;. A random‐walk theory results in the exponential correlation function where the correlation distance is given bya=Kd/&dgr;2for crystals separated by distanced. Kis a numerical factor which is ½ for crystals confined to a plane and ⅔ for crystals permitted to orient about a cone of apex angle &dgr; with respect to the preceding crystal. The extension to two dimensions is proposed by means of a computer simulation of the lattice, and preliminary results of such an analysis are presented.

 

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