The scattering of light from crystalline polyolefins results principally from a correlation in crystal orientation described by an empirical Debye-Bueche correlation function f(r)=exp(−r/a) for crystals separated by distance r. A one-dimensional theory is developed in which neighboring crystals may differ in orientation by a small angle ±δ. A random-walk theory results in the exponential correlation function where the correlation distance is given by a=Kd/δ2 for crystals separated by distance d. K is 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 δ 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.
No takes yet. Share an insight, caveat, or question.
Stein et al. (1964) studied this question.
Synapse has enriched 3 closely related papers on similar clinical questions. Consider them for comparative context: