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电沉积铜和铜银颗粒中威布尔分布、对数正态分布和伽马分布的观测

Observation of Weibull, Lognormal, and Gamma Distributions in Electrodeposited Cu and Cu-Ag Particles.

作者信息

Sun Yunkai, Zangari Giovanni

机构信息

Department of Materials Science and Engineering, University of Virginia, Charlottesville, VA 22904, USA.

出版信息

Materials (Basel). 2023 Sep 28;16(19):6452. doi: 10.3390/ma16196452.

DOI:10.3390/ma16196452
PMID:37834589
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10573702/
Abstract

In this work, the nearest-neighbor distances and Voronoi cell features of Cu-Ag deposits were analyzed and fitted with Lognormal, Weibull, and Gamma distributions. The nearest-neighbor distance distributions of the samples were compared with those of complete spatially random points, showing spatial inhomogeneity due to the nucleation exclusion effect. The radial distribution function was calculated, showing both influences from the grain size and the nucleation exclusion effect. Voronoi cells were generated based on the shape of the grains. The size, occupancy, and coordination of the Voronoi cells were examined and fitted. The results show that although the Cu-Ag deposits seemed to be governed by the instantaneous nucleation mode, the spatial distribution of the nuclei was more impacted by the nucleation exclusion effect than the Cu-only samples. This behavior is also justified by the grain size distribution generated with Voronoi cell size and occupancy distributions.

摘要

在这项工作中,对铜银沉积物的最近邻距离和Voronoi胞元特征进行了分析,并拟合了对数正态分布、威布尔分布和伽马分布。将样品的最近邻距离分布与完全空间随机点的分布进行比较,结果表明由于成核排斥效应存在空间不均匀性。计算了径向分布函数,结果显示了晶粒尺寸和成核排斥效应的双重影响。基于晶粒形状生成了Voronoi胞元。对Voronoi胞元的大小、占有率和配位数进行了研究和拟合。结果表明,尽管铜银沉积物似乎受瞬时成核模式控制,但与仅含铜的样品相比,成核排斥效应对核的空间分布影响更大。Voronoi胞元大小和占有率分布生成的晶粒尺寸分布也证明了这种行为。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/822f/10573702/ab89f7f89c80/materials-16-06452-g013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/822f/10573702/5bc83b63188c/materials-16-06452-g001.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/822f/10573702/6b5f1a332bb9/materials-16-06452-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/822f/10573702/b95375fc8a3e/materials-16-06452-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/822f/10573702/f37248487b23/materials-16-06452-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/822f/10573702/f37af479e12d/materials-16-06452-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/822f/10573702/61b461ceabbc/materials-16-06452-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/822f/10573702/22cf06fcf5aa/materials-16-06452-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/822f/10573702/61aed1b17749/materials-16-06452-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/822f/10573702/ab89f7f89c80/materials-16-06452-g013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/822f/10573702/5bc83b63188c/materials-16-06452-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/822f/10573702/81874a29adf8/materials-16-06452-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/822f/10573702/db0384ee575e/materials-16-06452-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/822f/10573702/68345cb4061f/materials-16-06452-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/822f/10573702/a30c5c4e8cbb/materials-16-06452-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/822f/10573702/6b5f1a332bb9/materials-16-06452-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/822f/10573702/b95375fc8a3e/materials-16-06452-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/822f/10573702/f37248487b23/materials-16-06452-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/822f/10573702/f37af479e12d/materials-16-06452-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/822f/10573702/61b461ceabbc/materials-16-06452-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/822f/10573702/22cf06fcf5aa/materials-16-06452-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/822f/10573702/61aed1b17749/materials-16-06452-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/822f/10573702/ab89f7f89c80/materials-16-06452-g013.jpg

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