物理化学学报 >> 2007, Vol. 23 >> Issue (05): 683-687.doi: 10.1016/S1872-1508(07)60043-6

研究论文 上一篇    下一篇

离子半径的质量和电量综合因子的标度

余德才; 曹文娟; 吴海玉; 赵剑锋   

  1. 河北工程大学理学院, 河北 邯郸 056038; 石家庄经济学院数理学院, 石家庄 050031
  • 收稿日期:2006-09-26 修回日期:2006-11-29 发布日期:2007-04-28
  • 通讯作者: 余德才 E-mail:yudecaigood@163.com

Ionic Radius Scale of Establishing Synthesis Factor of Ionic Mass and Electricity

YU De-Cai; CAO Wen-Juan; WU Hai-Yu; ZHAO Jian-Feng   

  1. College of Science, Hebei University of Engineering, Handan 056038, Hebei Province, P. R. China; School of Mathematics and Science, Shijiazhuang College of Economics, Shijiazhuang 050031, P. R. China
  • Received:2006-09-26 Revised:2006-11-29 Published:2007-04-28
  • Contact: YU De-Cai E-mail:yudecaigood@163.com

摘要: 根据作者曾建立的万有引力势与电势的关系式和系统的对比质电比(单位电量的质量)Sr的物理意义, 研究了离子半径r与Sr的关系: 对于相同电子构型的阳离子, 离子半径与lgSr呈线性关系; 对于相同电子构型的阴离子, 离子半径与Sr的关系满足Michealis-Menten 数学模型. 采用回归分析方法, 拟合出周期表中94种元素108种阳离子的半径和16种阴离子的半径. 从相关系数R和回归方程的显著性检验(F)都说明r与Sr密切相关, 其中102种阳离子半径数据与具有代表性的离子半径参考值相比平均绝对误差仅0.9 pm, 相对误差1.1%. 同时给出一条获取离子半径(包括复杂离子)数据的新途径.

关键词: 离子半径, 综合因子, 数学模型, 对比质电比, 离子

Abstract: According to the relationship between gravitational potential and electrostatic potential, and the physical meaning of the contrastive mass-to-electricity (mass of per unit electricity) Sr, the authors studied the relationship between ionic radius r and Sr. For the positive ions with same electronic configuration r varied directly with lgSr, and for negative ions with same electronic configuration, the relationship between r and Sr conformed to the mathematical model of Michealis-Menten. With regression analysis, ionic radii of 94 elements, among which there were 108 radii of positive ions and 16 radii of negative ions, could be fitted. The correlation coefficient R and test of significance (F) showed that r was closely related to Sr. The average absolute error of the 102 radii of positive ions was only 0.9 pm with the representative radii of ions, the relative error was 1.08%. This led to a set of good ionic radius values. It is a new path of calculating ionic radius that contains complex ions.

Key words: Ionic radius, Synthesis factor, Mathematical model, Contrastive mass-to-electricity, Ion

MSC2000: 

  • O641