物理化学学报 >> 1996, Vol. 12 >> Issue (08): 735-740.doi: 10.3866/PKU.WHXB19960812

研究论文 上一篇    下一篇

原子簇离子产生的动力学方程与分布函数

张强,黄荣彬,刘朝阳,郑兰荪   

  1. 固体表面物理化学国家重点实验室,厦门大学化学系,厦门 361005
  • 收稿日期:1996-02-12 修回日期:1996-04-12 发布日期:1996-08-15
  • 通讯作者: 郑兰荪

Kinetic Model for the Statistical Distribution of Atomic Clusters

Zhang Qiang,Huang rong-Bin,Liu Zhao-Yang,Zheng Lan-Sun   

  1. The State Key Laboratory for Physical Chemistry of Solid Surface Department of Chemistry Xiamen University,Xiamen 361005
  • Received:1996-02-12 Revised:1996-04-12 Published:1996-08-15
  • Contact: Zheng Lan-Sun

摘要:

由激光等离子体反应产生的原子簇分子与离子,经历了分子-离子反应的过程.本文尝试将Smoluchowski方程加以扩展,用于描述原子簇离子的生成过程.通过应用解析方法,求解不可逆聚合过程的动力学方程,推导出了原子簇离子统计分布的函数关系式,证实了实验中观察到的原子簇的统计分布规律.

关键词: 原子簇, 离子, 统计分布, 动力学

Abstract:

 A statistical distribution model was summarized for the cluster ions generated from laser vaporization. In this paper, a distribution funetion has been deduced for the laser generated cluster ions. To deduce the equation, kinetic equations were presented for the cluster ions based on ion-molecular reactions, the Smoluchowski equation was extended to described the reaction, and an irreversible aggregation process was assumed in which all charged and neutral cluster species have equal aggregation rate constant. Distribution of the deduced equation is shown to agree very well with the statistical size distribution of cluster ions observed in experiments.

Key words: Clusters, Ions, Kinetics, Statistical distribution