{"title":"Sizing and packing of particles – Characterization of mono-, di- and trimodal particle assemblies","authors":"Jarl B. Rosenholm","doi":"10.1016/j.cis.2023.102887","DOIUrl":null,"url":null,"abstract":"<div><p>The influence of particle size and shape on the properties of mono-, di- and trimodal particle assemblies is evaluated. The relative increase of surface area over bulk when particle size is reduced renders particles in the colloid (10–100 nm) and nano (1–10 nm) ranges extraordinary properties. Asymmetric particle shapes are characterized by sphericity and represented by equivalent spheres. The average diameter of particle size classes (size ranges) of powders are dependent on two experimentally determined properties. Average particle sizes (median, mean and mode) for each size class are extracted from size distributions of powders. Mono-, di- and trimodal particle packing efficiency is expressed as volume fractions and inverted volume fractions of close-packed hard spheres and related to standard cubic, orthoromic, tetragonal-sphenoidal and rombohedral-hexagonal packing properties. Simple models are presented to reveal the relative influence of fine, medium, and coarse particles and their ratios on powder properties. Experimental challenges relate to the influence of test compartment size and shape on particle layering and of particle shape on packing density. Particle asymmetry induces preferential aggregation through bond and site percolation resulting in dense closed or loose open cluster structures relating to particle segregation. Clusters may be characterized by structural fractals while textural fractals identify the particles involved. A modified Flory-Huggins lattice model for macromolecular solutions enables determination of combinatory entropy for cluster formation. A model is presented which relates time dependent volume fraction to logarithmic time dependence of compaction. This review concerns mixing of dry particles which corresponds to molecular processes at the gaseous (continuum, vacuum) reference state.</p></div>","PeriodicalId":239,"journal":{"name":"Advances in Colloid and Interface Science","volume":"315 ","pages":"Article 102887"},"PeriodicalIF":15.9000,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Colloid and Interface Science","FirstCategoryId":"92","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0001868623000544","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, PHYSICAL","Score":null,"Total":0}
引用次数: 2
Abstract
The influence of particle size and shape on the properties of mono-, di- and trimodal particle assemblies is evaluated. The relative increase of surface area over bulk when particle size is reduced renders particles in the colloid (10–100 nm) and nano (1–10 nm) ranges extraordinary properties. Asymmetric particle shapes are characterized by sphericity and represented by equivalent spheres. The average diameter of particle size classes (size ranges) of powders are dependent on two experimentally determined properties. Average particle sizes (median, mean and mode) for each size class are extracted from size distributions of powders. Mono-, di- and trimodal particle packing efficiency is expressed as volume fractions and inverted volume fractions of close-packed hard spheres and related to standard cubic, orthoromic, tetragonal-sphenoidal and rombohedral-hexagonal packing properties. Simple models are presented to reveal the relative influence of fine, medium, and coarse particles and their ratios on powder properties. Experimental challenges relate to the influence of test compartment size and shape on particle layering and of particle shape on packing density. Particle asymmetry induces preferential aggregation through bond and site percolation resulting in dense closed or loose open cluster structures relating to particle segregation. Clusters may be characterized by structural fractals while textural fractals identify the particles involved. A modified Flory-Huggins lattice model for macromolecular solutions enables determination of combinatory entropy for cluster formation. A model is presented which relates time dependent volume fraction to logarithmic time dependence of compaction. This review concerns mixing of dry particles which corresponds to molecular processes at the gaseous (continuum, vacuum) reference state.
期刊介绍：
"Advances in Colloid and Interface Science" is an international journal that focuses on experimental and theoretical developments in interfacial and colloidal phenomena. The journal covers a wide range of disciplines including biology, chemistry, physics, and technology.
The journal accepts review articles on any topic within the scope of colloid and interface science. These articles should provide an in-depth analysis of the subject matter, offering a critical review of the current state of the field. The author's informed opinion on the topic should also be included. The manuscript should compare and contrast ideas found in the reviewed literature and address the limitations of these ideas.
Typically, the articles published in this journal are written by recognized experts in the field.
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