Linear algebraic characterization of particle concentration and size distribution

IF 4.7 3区 材料科学 Q2 CHEMISTRY, PHYSICAL
Gyungbin Ju , Dongwon Kim , Hyungil Lee , Manhee Lee
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Abstract

Particle counting and sizing are essential in various fields of science and engineering. Most existing particle characterization methods rely on a rigorous analysis of nonlinear particle–light interactions. Here, we present a novel algebraic approach for counting and sizing colloidal particles. We construct a mathematical vector space in which the scattered signal distributions from the colloidal dispersions form vectors. These vectors are expanded using the basis vectors corresponding to the scattered signal distributions from particles of known sizes. We then determine the expansion coefficients that yield the number concentration as a function of particle size via mathematical optimization. Further, we experimentally evaluate the algebraic optics and find that the formalism accurately recovers the particle size and concentration. Thus, this algebraic method provides a means of quantifying particulate matter in fluids that are highly concentrated and difficult to measure individually and entirely.

Abstract Image

颗粒浓度和粒度分布的线性代数表征
粒子计数和施胶在科学和工程的各个领域都是必不可少的。大多数现有的粒子表征方法依赖于对非线性粒子-光相互作用的严格分析。在这里,我们提出了一个新的代数方法计数和大小胶体颗粒。我们构造了一个数学向量空间,其中由胶体色散产生的散射信号分布形成向量。这些向量用基向量与已知大小的粒子的散射信号分布相对应展开。然后,我们通过数学优化确定膨胀系数,该系数产生的数字浓度作为粒度的函数。此外,我们对代数光学进行了实验评估,发现该形式能准确地恢复颗粒的大小和浓度。因此,这种代数方法提供了一种手段,定量颗粒物质的流体是高度集中和难以单独和全面测量。
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来源期刊
Colloid and Interface Science Communications
Colloid and Interface Science Communications Materials Science-Materials Chemistry
CiteScore
9.40
自引率
6.70%
发文量
125
审稿时长
43 days
期刊介绍: Colloid and Interface Science Communications provides a forum for the highest visibility and rapid publication of short initial reports on new fundamental concepts, research findings, and topical applications at the forefront of the increasingly interdisciplinary area of colloid and interface science.
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