{"title":"喷雾干燥法制备微晶纤维素的分形结构","authors":"M. Ioelovich","doi":"10.19080/ajop.2018.02.555583","DOIUrl":null,"url":null,"abstract":"In a fractal structure of beads of different sizes obtained by spray-drying of aqueous dispersions of microcrystalline cellulose (MCC) was studied. These beads are formed as a result of aggregation of rod-shaped cellulose nanocrystalline particles (CNP). It was found that increasing the average radius (R) of the formed MCC beads results in increased porosity (P) and reduced density ( ρ ). The dependences of P and ρ on scale factor (R/r) can be expressed by power-law equations: ( ) P E D o R P P r − = and ( ) D E R d r ρ ρ − = , where the fractal dimensions P D = 2.887 and P D =2.986 are close to Euclidean dimension E=3 for three-dimensional space; r=3nm is radius of cellulose nanocrystalline particles, P o = 0.03cm 3 /g is porosity and d=1.585g/cm 3 is true density (specific gravity) of CNP, respectively. Thus, with the increase in the size of formed MCC beads, the order in the packing of the beads is distorted conforming to theory of diffusion-limited aggregation process.","PeriodicalId":6991,"journal":{"name":"Academic Journal of Polymer Science","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2018-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Fractal Structure of Microcrystalline Cellulose Obtained by Method of Spray Drying\",\"authors\":\"M. Ioelovich\",\"doi\":\"10.19080/ajop.2018.02.555583\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In a fractal structure of beads of different sizes obtained by spray-drying of aqueous dispersions of microcrystalline cellulose (MCC) was studied. These beads are formed as a result of aggregation of rod-shaped cellulose nanocrystalline particles (CNP). It was found that increasing the average radius (R) of the formed MCC beads results in increased porosity (P) and reduced density ( ρ ). The dependences of P and ρ on scale factor (R/r) can be expressed by power-law equations: ( ) P E D o R P P r − = and ( ) D E R d r ρ ρ − = , where the fractal dimensions P D = 2.887 and P D =2.986 are close to Euclidean dimension E=3 for three-dimensional space; r=3nm is radius of cellulose nanocrystalline particles, P o = 0.03cm 3 /g is porosity and d=1.585g/cm 3 is true density (specific gravity) of CNP, respectively. Thus, with the increase in the size of formed MCC beads, the order in the packing of the beads is distorted conforming to theory of diffusion-limited aggregation process.\",\"PeriodicalId\":6991,\"journal\":{\"name\":\"Academic Journal of Polymer Science\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-11-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Academic Journal of Polymer Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.19080/ajop.2018.02.555583\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Academic Journal of Polymer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.19080/ajop.2018.02.555583","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
摘要
研究了微晶纤维素(MCC)水分散体喷雾干燥得到的不同粒径微珠的分形结构。这些小珠是由棒状纤维素纳米晶颗粒(CNP)聚集形成的。结果表明,增大MCC珠的平均半径R,孔隙率P增大,密度ρ减小。P和ρ对尺度因子(R/ R)的依赖关系可以用幂律方程表示:(1)P E D o R P P R R−=和(2)D E R D R ρ ρ−=,其中分形维数P D = 2.887和P D =2.986接近三维空间的欧几里得维数E=3;r=3nm为纤维素纳米晶颗粒半径,p0 = 0.03cm 3 /g为孔隙率,d=1.585g/cm 3为CNP的真密度(比重)。因此,随着形成的MCC微球尺寸的增大,微球的排列顺序被扭曲,符合扩散限制聚集过程理论。
Fractal Structure of Microcrystalline Cellulose Obtained by Method of Spray Drying
In a fractal structure of beads of different sizes obtained by spray-drying of aqueous dispersions of microcrystalline cellulose (MCC) was studied. These beads are formed as a result of aggregation of rod-shaped cellulose nanocrystalline particles (CNP). It was found that increasing the average radius (R) of the formed MCC beads results in increased porosity (P) and reduced density ( ρ ). The dependences of P and ρ on scale factor (R/r) can be expressed by power-law equations: ( ) P E D o R P P r − = and ( ) D E R d r ρ ρ − = , where the fractal dimensions P D = 2.887 and P D =2.986 are close to Euclidean dimension E=3 for three-dimensional space; r=3nm is radius of cellulose nanocrystalline particles, P o = 0.03cm 3 /g is porosity and d=1.585g/cm 3 is true density (specific gravity) of CNP, respectively. Thus, with the increase in the size of formed MCC beads, the order in the packing of the beads is distorted conforming to theory of diffusion-limited aggregation process.