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球形颗粒的扩散控制固态反应,多相二元体系的通用模型。

Diffusion-controlled solid-state reactions of spherical particles, a general model for multiphase binary systems.

作者信息

Buscaglia Vincenzo, Milanese Chiara

机构信息

Institute for Energetics and Interphases (IENI), Department of Genoa, National Research Council, Via De Marini 6, I-16149 Genoa, Italy.

出版信息

J Phys Chem B. 2005 Oct 6;109(39):18475-82. doi: 10.1021/jp044500g.

DOI:10.1021/jp044500g
PMID:16853379
Abstract

The formal treatment of the diffusion-controlled growth of n binary compounds with narrow homogeneity range during the reaction of a sphere of reactant A immersed in reactant B is presented and discussed. Both constituents are assumed to be mobile. The reaction products are assumed to grow simultaneously as uniform and compact concentric layers with ideal contact at the interfaces as well as at the external surface of the sphere. The kinetic equations follow from the coupling between chemical reactions and partitioning of the diffusion flux at phase boundaries. The results for the formation of two and three compounds are presented. The influence of the initial radius of the sphere, of the relative magnitude of the kinetic constants, and of the volume variation is discussed in detail.

摘要

本文提出并讨论了在沉浸于反应物B中的反应物A球体反应过程中,n种具有窄均匀范围的二元化合物扩散控制生长的形式处理方法。假定两种组分都是可移动的。假定反应产物以均匀且致密的同心层同时生长,在界面以及球体的外表面具有理想接触。动力学方程源于化学反应与相界处扩散通量分配之间的耦合。给出了形成两种和三种化合物的结果。详细讨论了球体初始半径、动力学常数的相对大小以及体积变化的影响。

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