Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Asymptotic Analysis of Coagulation–Fragmentation Equations of Carbon Nanotube Clusters | Nanoscale Res Lett 2007 2 337-349 DOI s11671-007-9070-8 NANO EXPRESS Asymptotic Analysis of Coagulation-Fragmentation Equations of Carbon Nanotube Clusters Francisco Torrens Gloria Castellano Received 17 May 2007 Accepted 6 June 2007 Published online 27 June 2007 to the authors 2007 Abstract The possibility of the existence of single-wall carbon nanotubes SWNTs in organic solvents in the form of clusters is discussed. A theory is developed based on a bundlet model for clusters describing the distribution function of clusters by size. The phenomena have a unified explanation in the framework of the bundlet model of a cluster in accordance with which the free energy of an SWNT involved in a cluster is combined from two components a volume one proportional to the number of molecules n in a cluster and a surface one proportional to n1 . During the latter stage of the fusion process the dynamics were governed mainly by the displacement of the volume of liquid around the fusion site between the fused clusters. The same order of magnitude for the average cluster-fusion velocity is deduced if the fusion process starts with several fusion sites. Based on a simple kinetic model and starting from the initial state of pure monomers micellization of rod-like aggregates at high critical micelle concentration occurs in three separated stages. A convenient relation is obtained for n at transient stage. At equilibrium another relation determines dimensionless binding energy a. A relation with surface dilatational viscosity is obtained. F. Torrens El Institut Universitari de Ciencia Molecular Universitat de Valencia Edifici d Instituts de Paterna . Box 22085 Valencia 46071 Spain e-mail G. Castellano Instituto Universitario de Medio Ambiente y Ciencias Marinas Universidad Catolica de Valencia San Vicente Martir Guillem de Castro-94 Valencia 46003 Spain Keywords Solubity of carbon nanotubes Bundlet model for clusters Droplet model for clusters .
