On the variation of the distances of Nd³⁺−Cl⁻ and Tm³⁺−Cl⁻ in mixed system of dimethyl sulfoxide and water

Abstract

The stability constants, β₁, of each monochloride complex of Ln(III) (Ln=Nd or Tm) have been determined in the mixed system of dimethyl sulfoxide (DMSO) and water with 1.0 mol·dm⁻³ ionic strength using a solvent extraction technique. The values of β₁ of Ln(III) decrease to about 0.2 mole fraction of DMSO (X _s) in the mixed solvent system and then increase withX _s (>about 0.2). However, the variation mode of β₁ of Nd(III) withX _s somewhat differs from that of Tm(III). Calculation of Ln³⁺−Cl⁻ distance using a Born-type equation of the Gibbs' free energy derived from the β₁ evealed the followings: (1) For Tm³⁺ with coordination number 8, the estimated distance between Tm³⁺ and Cl⁻ (d _Tm-Cl) increases linearly withX _s in 0.00≤X _s≤0.17. This means an enlargement of the primary solvation sphere size of Tm³⁺ withX _s. On the other hand, thed _Tm-Cl shows a decrease withX _s in 0.17<X _s<0.28. (2) The estimatedd _Nd-Cl increases linearly withX _s in 0.00≤X _s<0.06 and 0.06<X _s≤0.17, but their slopes are different. The larger slope againstX _s in 0.06<X _s≤0.17 is attributable to a lowering of the β₁ by a coordination of ClO₄ ⁻ into the secondary solvation sphere of Nd³⁺ and/or by an increase in the solvation number of the primary solvation sphere of Nd³⁺.