An analysis method using small-angle X-ray scattering (SAXS) of the lamellar stacks of crystalline polymers was examined. The scattering profile was expressed by a fitting function on the basis of a paracrystalline stacking model of finite sequence of parallel lamellae in a stack with border zones continuously connecting to the mean density in spherulites. The SAXS pattern of poly(butylene terephthalate) was able to be fitted to both the conventional model with infinite number of parallel lamellae in a stack and the present model with finite number. The SAXS pattern of polyethylene could not be fitted by the conventional model supposing an infinite sequence, and it was necessary to suppose a lower finite number; the best fit result was obtained with two crystalline layers. A lower number of parallel lamellae in a stack is consistent with the fact that polyethylene lamellar crystals are twisted in three-dimensional space, and cannot form an infinite sequence of simple stacked structure of lamellae oriented parallel to each other. For the finite sequence with lower number, the determination of crystalline lamellar thickness requires the consideration of border zones. It was also confirmed that an alternative method using triangular shape of a one-dimensional auto-correlation function could be acceptable with better level of agreement for narrower distributions of thickness.

检验了一种使用小角度X射线散射（SAXS）分析结晶聚合物的层状堆叠的分析方法。散射分布由拟合函数表示，该函数基于边界层连续连接到球晶平均密度的叠层中平行薄片的有限序列的顺晶体叠层模型。聚对苯二甲酸丁二醇酯的SAXS图案既可以用于堆叠中具有无限数量平行薄片的常规模型，也可以适用于具有有限数量的本模型。假设序列是无限的，常规模型无法拟合聚乙烯的SAXS图案，因此有必要设一个较低的有限数。使用两个晶体层可获得最佳拟合结果。堆叠中较少数量的平行薄片与以下事实一致：聚乙烯薄片晶体在三维空间中扭曲，并且不能形成彼此平行取向的薄片的简单堆叠结构的无限序列。对于数量较少的有限序列，晶体层状厚度的确定需要考虑边界区域。还证实了使用一维自相关函数的三角形形状的替代方法可以接受，并且对于较窄的厚度分布具有更好的一致性。确定晶体层状厚度需要考虑边界区域。还证实了使用一维自相关函数的三角形形状的替代方法可以接受，并且对于较窄的厚度分布具有更好的一致性。确定晶体层状厚度需要考虑边界区域。还证实了使用一维自相关函数的三角形形状的替代方法可以接受，并且对于较窄的厚度分布具有更好的一致性。