Analysis of the small-angle X-ray scattering of linear polyethylene by a paracrystalline lattice model

Abstract

Three paracrystalline lattice models for the interpretation of the small angle scattering of polyethylene are discussed: The "lattice model", the "stapel model, (often referred to as the lamellar stack model) and the "proportional model". While the applicability of the first model is restricted, the latter models differ in the statistical assumptions of lamellar and interlamellar thickness distributions. The principal advantage of the proportional model over the stapel model is its applicability through the adjustment of only three parameters : long period, crystallinity and one statistical parameter. Small angle X-ray curves of linear polyethylene are interpreted by the proportional model. The results are in good agreement with stapel model calculations.

Real-Time Fast Structuring of Polymers Using Synchrotron WAXD/SAXS Techniques

“…7a). Detailed description and calculations of the scattering from an ideal lamellar model are given in the literature [38,[56][57][58]. For an infinitely high stack, the scattered intensity can be calculated as:…”