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- W2017804410 abstract "Based on the table of the effective ionic radii of R. D. Shannon (Acta Crystallogr. Sect. A32, 751, 1976), the linear relation of the cationic radii on the coordination numberk has been observed:rk=r0+dk−0.0236kz,wherer0 is the radius of free cation, z its valence, andd = 0.1177 - 0.0081 z - 0.0347 r0 - 0.0050 zr0. The analogous relation for O2− anion has been found to ber′k′ = r′0 + a′k′ = 1.328 + 0.0118 k′. By addingrk andr′k′ corresponding to the same bond strength new dependence between bond lengthR and bond strengths has been established for cation-oxygen bonds:s=dzR−R0,whereR0 = r0 + r′0. The necessity to choose a standard state for ionic radii and for bond strength is pointed out and argued. Structures of simple oxides at room temperature and at normal pressure are chosen as standard state at which the sum of the strengths of bonds around the cation is assumed to be exactly equal to itsz.Standard radii of free ions r0 are determined for about 230 ions and are listed. As in Shannon's table some ionic radii were found to be negative. Physical sense can be hardly attributed to this finding. To avoid the negative radii a new scale ofabsolute ionic radiiρ0 is proposed, based on assumption thatρ0(H1+) = 0 instead ofr0(H1+) = −h = −0.499 (the size of the proton is known to be of the order of 10−5A˚, i.e., much less than the accuracy of determination of ionic radii). Consequentlyρ0 for all cations is assumed to beρ0 = r0 + h and for anionsρ′0 = r′0 − h (e.g.,ρ′0(O2−) = 0.829A˚). Bond-length-bond-strength relationship expressed by the equation indicated above is rationalized in terms of the new proposedelectrostatic hover model of crystal structure. In this model ions are of constant size (r0 orρ0), they do not touch each other, but they are maintained at distancesL = R - R0 by the electrostatic forces. This remains in agreement with the suggested (J. Zio´ŀkowski,J. Catal.84, 317, (1983)) linear relation between bond strength and bond energyE = Js which will be proved in the forthcoming paper (J. Zio´ŀkowski and L. Dziembaj,J. Solid State Chem.57, 291 (1985))." @default.
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- W2017804410 title "New relation between ionic radii, bond length, and bond strength" @default.
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- W2017804410 doi "https://doi.org/10.1016/0022-4596(85)90152-5" @default.
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