A Comparison Between Ripening Under a Constant Volume and Ripening Under a Constant Surface Area.

IF 4.3 3区 材料科学 Q2 CHEMISTRY, MULTIDISCIPLINARY Nanomaterials Pub Date : 2025-02-19 DOI:10.3390/nano15040316
King-Ning Tu, Andriy M Gusak, Qinglei Sun, Yifan Yao
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Abstract

The classic Lifshitz-Slyozov-Wagner (LSW) theory of ripening assumes a constant volume. In comparison, we present here a model of ripening assuming a constant surface area, which has occurred in the microstructure changes in intermetallic compounds in micro-bump for 3D integrated-circuit (IC) technology in consumer electronic products. However, to keep a constant surface area requires the growth of the volume. Furthermore, in 3D IC technology, the kinetics is affected by electrical charges flowing in and out of the system. Due to Joule heating and electromigration, heat flux and atomic flux can occur together. The kinetic modes of failure changes are given here, as well as the mean-time-to-failure equations based on entropy production.

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等体积催熟与等表面积催熟的比较。
经典的Lifshitz-Slyozov-Wagner (LSW)成熟理论假设一个恒定的体积。相比之下,我们在这里提出了一个成熟的模型,假设一个恒定的表面积,这发生在消费电子产品中3D集成电路(IC)技术的微碰撞中金属间化合物的微观结构变化。然而,要保持一个恒定的表面积需要体积的增长。此外,在3D集成电路技术中,动力学受到流入和流出系统的电荷的影响。由于焦耳加热和电迁移,热流和原子流可以同时发生。文中给出了失效变化的动力学模式,以及基于熵产生的平均失效时间方程。
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来源期刊
Nanomaterials
Nanomaterials NANOSCIENCE & NANOTECHNOLOGY-MATERIALS SCIENCE, MULTIDISCIPLINARY
CiteScore
8.50
自引率
9.40%
发文量
3841
审稿时长
14.22 days
期刊介绍: Nanomaterials (ISSN 2076-4991) is an international and interdisciplinary scholarly open access journal. It publishes reviews, regular research papers, communications, and short notes that are relevant to any field of study that involves nanomaterials, with respect to their science and application. Thus, theoretical and experimental articles will be accepted, along with articles that deal with the synthesis and use of nanomaterials. Articles that synthesize information from multiple fields, and which place discoveries within a broader context, will be preferred. There is no restriction on the length of the papers. Our aim is to encourage scientists to publish their experimental and theoretical research in as much detail as possible. Full experimental or methodical details, or both, must be provided for research articles. Computed data or files regarding the full details of the experimental procedure, if unable to be published in a normal way, can be deposited as supplementary material. Nanomaterials is dedicated to a high scientific standard. All manuscripts undergo a rigorous reviewing process and decisions are based on the recommendations of independent reviewers.
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