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Volume fraction of random two-phase systems for a certain fixed order range from the SAS correlation function

机译:SAS相关函数确定的固定阶数范围内的随机两相系统的体积分数

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摘要

Considering a certain, well-defined, fixed order range, the volume fraction is defined in terms of the first derivative of the small-angle scattering (SAS) correlation function (CF) γ (r) in the origin γ′ (0) and the average mean chord length d_(lm). If d_(lm) is unknown beforehand, this length parameter can be estimated from the behaviour of γ (r) in most practical cases. The method and its limits are studied for selected particle models (Boolean model, dead leaves model), for which analytic expressions for γ(r) are known. The applicability is exemplified for experimental cases, too.
机译:考虑到一定的,定义明确的固定阶数范围,以原始角度γ'(0)中的小角散射(SAS)相关函数(CF)γ(r)的一阶导数和平均平均弦长d_(lm)。如果d_(lm)事先未知,则可以在大多数实际情况下根据γ(r)的行为来估算此长度参数。针对选定的粒子模型(布尔模型,枯叶模型)研究了该方法及其限制,已知该模型的γ(r)解析表达式。对于实验情况也示例了适用性。

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