物理化学学报 >> 2008, Vol. 24 >> Issue (05): 880-884.doi: 10.3866/PKU.WHXB20080525

研究论文 上一篇    下一篇

离子质电比和相差异因子对离子半径的综合标度

余德才; 曹文娟; 余旭东; 李亚娟   

  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; 南开大学化学学院, 天津 300071; 河北师范大学化学学院, 石家庄 050031
  • 收稿日期:2007-11-23 修回日期:2008-01-24 发布日期:2008-05-05
  • 通讯作者: 余德才 E-mail:yudecaigood@163.com

Synthetic Scale of Ionic Radius by Inoic Mass-to-Electricity and Factor of Phase Difference

YU De-Cai; CAO Wen-Juan; YU Xu-Dong; LI Ya-Juan   

  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; College of Chemistry, Nankai University, Tianjin 300071, P. R. China; College of Chemistry,
    Hebei Normal University, Shijiazhuang 050031, P. R. China
  • Received:2007-11-23 Revised:2008-01-24 Published:2008-05-05
  • Contact: YU De-Cai E-mail:yudecaigood@163.com

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摘要： 根据万有引力势与电势的关系式和系统的质电比(单位电量的质量)Sr的物理意义, 研究了离子半径r与离子的Sr和相差异因子的关系. 对于阳离子, r与lgSr和相差异因子呈线性关系; 对于稳定构型阴离子, r与Sr和相差异因子也存在定量关系. 采用回归分析方法, 给出稳定构型和非稳定构型阳离子半径计算公式, 以及稳定构型阴离子半径计算公式. 从相关系数R和回归方程的显著性检验(F)都可说明r与Sr和相差异因子密切相关, 其中拟合的96种元素的138种阳离子半径数据与具有代表性参考值相比, 平均绝对误差为2.0 pm, 相对误差为2.5%. 并预测出较为合理的稀有气体等30种离子半径数据. 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, 质电比, 相差异因子, 计算公式, 离子

Abstract: According to the relationship between gravitational potential and electrostatic potential, and the physical meaning of the mass-to-electricity (mass of per unit electricity) Sr, the variation of ionic radius r with Sr and the phase difference factor of ion were studied. For positive ions, configuration the r varied directly with lgSr and the phase difference factor, and for negative ions with stable electronic configuration, the r varied quantitatively with as Sr and the phase difference factor. Calculating formulas for the positive ionic radius with stable and unstable electronic configurations, and the negative ionic radius with stable electronic configuration were obtained. The correlation coefficient R and test of significance (F) showed that r was closely relative to Sr and the phase difference factor. 138 radii of positive ions that contained 96 elements were fitted. The average absolute error of the 138 radii of positive ions was 2.0 pm compared with the representative radii of ions, and the relative error was 2.5%. 30 positive ionic radii of rare gases et al. were calculated by the formulas, and the calculated values were relatively reasonable. That was a new path of calculating the radi of ions, including complex ions.

Key words: Ionic radius, Mass-to-electricity, Factor of phase difference, Calculating formula, Ion