Quantifying Nanoparticle Mixing State to Account for Both Location and Size Effects

doi:10.1080/00401706.2016.1186563

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	Quantifying Nanoparticle Mixing State to Account for Both Location and Size Effects
	Dong, Ling 1; Li, Xiaodong 1; Yu, Dan1 ; Zhang, Hui 2; Zhang, Zhong 2; Qian, Yanjun 3; Ding, Yu 3
	2017
发表期刊	TECHNOMETRICS
ISSN	0040-1706
卷号	59 期号:3 页码:391-403
摘要	Ripley's K function is commonly used to characterize the homogeneity of spatial point distribution. Not surprisingly, it becomes a favored tool in quantifying the nanoparticles mixing state in composite materials, a parameter that material scientists believe is of close relevance to certain properties of the nanoparticle-embedding material. Ripley's K function assumes that the spatial points are dimensionless. In reality, the nanoparticles, once mixed in a host material, form clusters or agglomerates of various sizes and shapes. Our analysis shows that using the original K function falls short of ranking or distinguishing the homogeneity of nanoparticle mixing. We therefore propose to revise the K function to account for both particle location and size effects. We apply the revised function to electron microscopy images of material samples and conduct analysis and comparison of nanoparticle mixing. The analysis shows that the revised function is a better index to quantify the mixing states.
关键词	Dispersion and distribution Nano images Permutation test Ripley's K function Spatial point pattern
DOI	10.1080/00401706.2016.1186563
语种	英语
资助项目	NSF[CMMI-1000088]
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000406527500011
出版者	AMER STATISTICAL ASSOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26210
专题	系统科学研究所
通讯作者	Ding, Yu
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 2.Natl Ctr Nanosci & Technol, Beijing, Peoples R China 3.Texas A&M Univ, Dept Ind & Syst Engn, College Stn, TX 77843 USA
推荐引用方式 GB/T 7714	Dong, Ling,Li, Xiaodong,Yu, Dan,et al. Quantifying Nanoparticle Mixing State to Account for Both Location and Size Effects[J]. TECHNOMETRICS,2017,59(3):391-403.
APA	Dong, Ling.,Li, Xiaodong.,Yu, Dan.,Zhang, Hui.,Zhang, Zhong.,...&Ding, Yu.(2017).Quantifying Nanoparticle Mixing State to Account for Both Location and Size Effects.TECHNOMETRICS,59(3),391-403.
MLA	Dong, Ling,et al."Quantifying Nanoparticle Mixing State to Account for Both Location and Size Effects".TECHNOMETRICS 59.3(2017):391-403.