Calculation of the fractal dimension of aggregates

被引：60
|
作者：
Gmachowski, L [1 ]
机构：
[1] Polish Acad Sci, Inst Phys Chem, PL-01224 Warsaw, Poland
来源：
COLLOIDS AND SURFACES A-PHYSICOCHEMICAL AND ENGINEERING ASPECTS | 2002年 / 211卷 / 2-3期
关键词：
fractal dimension; mass-radius relation; structural coefficient; aggregates; particle-cluster aggregation;
D O I：
10.1016/S0927-7757(02)00278-9
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
Simple determination of the fractal dimension as the exponent in the mass-radius relation is possible only when the structure of growing aggregates is scale-invariant. If it is not the case, this method produces artifacts even if the slope in a log-log plot is nearly constant. It is shown that the difference between the fractal dimension and that determined from the slope is significant for diffusion limited particle-cluster aggregates. The fractal dimension of a given aggregate can be determined from its mass and radius of gyration using the proposed fractal dimension dependence of the structural coefficient, the prefactor in mass-radius relation. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：197 / 203
页数：7
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