标题： 基于蒙特卡洛方法从小角散射数据中获取尺寸分布的改进与考虑因素 显示英文标题

标题： Improvements and considerations for size distribution retrieval from small-angle scattering data by Monte-Carlo methods

摘要： 蒙特卡罗（MC）方法，基于随机更新和试错原理，非常适合从稀释散射体溶液的小角散射图中检索粒子尺寸分布。 讨论了尺寸确定方法的尺寸灵敏度与数据覆盖的散射矢量范围之间的关系。 提出了对现有MC方法的改进，其中假设粒子形状已知。 讨论了MC方法中模糊收敛准则的问题，并提出了一种收敛准则，该准则还允许确定所确定尺寸分布的不确定性。 显示英文摘要

摘要： Monte-Carlo (MC) methods, based on random updates and the trial-and-error principle, are well suited to retrieve particle size distributions from small-angle scattering patterns of dilute solutions of scatterers. The size sensitivity of size determination methods in relation to the range of scattering vectors covered by the data is discussed. Improvements are presented to existing MC methods in which the particle shape is assumed to be known. A discussion of the problems with the ambiguous convergence criteria of the MC methods are given and a convergence criterion is proposed, which also allows the determination of uncertainties on the determined size distributions.