Acta Phys. -Chim. Sin. ›› 2007, Vol. 23 ›› Issue (05): 683-687.doi: 10.1016/S1872-1508(07)60043-6

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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

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


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