On the Modeling of the S-Shaped Thermodynamic and Transport Behavior against the Atomic Number Z of Some Trivalent f- El
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TRUCTURE OF MATTER AND QUANTUM CHEMISTRY
On the Modeling of the S-Shaped Thermodynamic and Transport Behavior against the Atomic Number Z of Some Trivalent f-Element Ions in Aqueous Solutions at 298 K and Prediction for Completion of the Periodic Table of Chemical Elements N. Ouerfellia,b,*, H. Latrousc, J. H. Oliverd, M. Chemlae, and M. Ammarf a Department
of Chemistry, College of Science, Imam Abdulrahman Bin Faisal University, P.O. Box 1982, Dammam, 31441 Saudi Arabia b Basic and Applied Scientific Research Center, Imam Abdulrahman Bin Faisal University, P.O. Box 1982, Dammam, 31441 Saudi Arabia c University of Tunis El Manar, Laboratoire Biophysique et de Technologies Médicales LR13ES07, Institut Supérieur des Technologies Médicales de Tunis, Tunis, 1006 Tunisia d Oak-Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee, TN 37831 U.S.A. e Laboratoire LI2C-Electrochimie, UMR CNRS 7612, Université P. & M. Curie, Paris Cedex 05, 75252 France f University of Tunis El Manar, Laboratoire de Diffusion ionique, Département de Physique. F.S.T., El Manar II, Tunis, 2092 Tunisia * e-mail: [email protected] Received October 20, 2019; revised October 20, 2019; accepted January 21, 2020
Abstract—Ionic self-diffusion coefficients D of some trivalent lanthanide and actinide ions have been determined by the open-end capillary method (O.E.C.M.) in supporting lanthanide electrolyte 1 : 3 aqueous solutions at 25°C and optimal pH 2.50 in order to avoid hydrolysis, ion pairing and complexing of trivalent 4f ions. This study contributes to demonstrate similarities in transport and structure properties between 4f and 5f trivalent ions explained by a similar electronic configuration, ionic radius and same hydration number. These similarities are manifested in a strong causal correlation between certain properties by linear or S-shaped behaviors. In this context, we have suggested some expressions relating these properties and interesting to estimate or predict, by interpolation or extrapolation methods, some eventually not available experimental values, especially for the actinides for which the half-life is very short or the experimental conditions are very special and expensive. For this issue, we can contribute to the complement of periodic table of elements by some physicochemical properties, especially for the 5f-series, when we have some available data on the 4f-series as well as the mathematical function of the causal correlation between these two nf-series. Keywords: Mendeleev periodic table, self-diffusion coefficient, lanthanide and actinide trivalent ions, asymmetrical 3 : 1 electrolyte DOI: 10.1134/S0036024420100210
INTRODUCTION We note that the data on ionic self-diffusion coefficients of trivalent rare-earth ions in concentrated aqueous solutions are very scarce. Many tentative of theoretical extensions of Onsager limiting law are in agreement with data corresponding to 1 : 1 and 2 : 1 electrolytes but fails for 3 : 1 electrolytes especially in the case of lanthanide trivalent ions. So, this contributes to
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