Solution thermodynamics of Lanthanide–Cryptand 222 complexation processes

The thermodynamics of trivalent cations (Y³⁺, La³⁺, Pr³⁺, Nd³⁺, Eu³⁺, Gd³⁺, Tb³⁺, Ho³⁺, Er³⁺, Yb³⁺) and cryptand 222 in acetonitrile at 298.15?K is discussed. Recent reports regarding the behavior of lanthanide(III) trifluoromethane sulfonate salts in acetonitrile are considered. Thus, the experimental work was carried out under conditions in which ions (M³⁺) are predominantly in solution. Therefore, conductiometric titrations were carried out to establish the composition of the cation–cryptand 222 complexes and their ionic behavior in solution. Stability constants and derived standard Gibbs energies, enthalpies and entropies were determined by competitive titration microcalorimetry. Previously reported thermodynamic data for the complexation of cryptand 222 and a few lanthanide cations (La³⁺, Pr³⁺ and Nd³⁺) in acetonitrile are revisited. The medium effect on the stability of complex formation in acetonitrile relative to N,N-dimethylformamide is demonstrated. Thus, a drop in stability by a factor of 8 × 10¹⁰ is observed for the latter relative to the former solvent. The selectivity of cryptand 222 for these cations relative to La³⁺ in acetonitrile is discussed.     

Studies of Size-Based Selectivity in Aqueous Ternary Complexes of Americium(III) or Lanthanide(III) Cations

Spectrophotometric and calorimetric titrations were used to determine the equilibrium constants (log₁₀ K ₁₁₁) and enthalpies of formation (ΔH ₁₁₁) for aqueous ternary complexes of the form M(L^a)(L^b) (M = Nd³⁺, Sm³⁺, Tb³⁺, Ho³⁺, Er³⁺, or Am³⁺; L^a = DTPA^5?, DO3A^3?, or CDTA^4?; L^b = oxalate (Ox), malonate (Mal), or iminodiacetate (IDA)). Inner-sphere ternary complexes were readily formed with the septadentate DO3A (1,4,7,10-tetraazacyclododecane-1,4,7-triacetic acid) and hexadentate CDTA (trans-1,2-diaminocyclohexanetetraacetic acid) ligands, whose binary complexes have residual metal-coordinated water molecules that are readily displaced by the smaller secondary ligands. The stability constants for the formation of lanthanide–CDTA complexes with Ox, Mal, and IDA generally increase with decreasing ionic radius when steric hindrance is minimal, with the trend in the M(CDTA)^? formation constants overshadowing any size-based reversal in the stepwise ternary complexation constants. Similar ternary complexes with DO3A showed little increase in thermodynamic stability compared to analogous CDTA complexes and no preference for larger Ln cations. The octadentate DTPA (diethylenetriaminepentaacetic acid) ligand proved too large to form ternary complexes to a measurable extent with any of the secondary ligands investigated, despite the presence of one residual inner sphere water molecule.     

An Aqueous Thermodynamic Model for the Complexation of Sodium and Strontium with Organic Chelates Valid to High Ionic Strength. I. Ethylenedinitrilotetraacetic Acid (EDTA)

An aqueous thermodynamic model is developed, which accurately describes the effects of Na⁺ complexation, ionic strength, carbonate concentration, and temperature on the complexation of Sr²⁺ by ethylenedinitrilotetraacetic acid (EDTA) under basic conditions. The model is developed from the analysis of literature data on apparent equilibrium constants, enthalpies, and heat capacities, as well as on an extensive set of solubility data on SrCO₃(c) in the presence of EDTA obtained as part of this study. The solubility data for SrCO₃(c) were obtained in solutions ranging in Na₂CO₃ concentration from 0.01 to 1.8 m, in NaNO₃ concentration from 0 to 5 m, and at temperatures extending to 75C. The final aqueous thermodynamic model is based upon the equations of Pitzer and requires the inclusion of a NaEDTA^3– species. An accurate model for the ionic strength dependence of the ion-interaction coefficients for the SrEDTA^2– and NaEDTA^3–aqueous species allows the extrapolation of standard state equilibrium constants for these species, which are significantly different from the 0.1 m reference state values available in the literature. The final model is tested by application to chemical systems containing competing metal ions (i.e., Ca²⁺) to further verify the proposed model and indicate the applicability of the model parameters to chemical systems containing other divalent metal-EDTA complexes.     

Interactions of Bis(2,4,4‐trimethylpentyl)dithiophosphinate with NdIII and CmIII in a Homogeneous Medium: A Comparative Study of Thermodynamics and Coordination Modes

Complexation of Nd^III and Cm^III with purified Cyanex301 (ammonium bis(2,4,4‐trimethylpentyl)dithiophosphinate, denoted as HL) was studied in 1 % v/v water/ethanol under identical conditions by spectrophotometry and microcalorimetry. For Nd^III, three successive complexes, NdL²⁺, NdL₂⁺, and NdL₃, formed in the solution. In contrast, four complexes, CmL²⁺, CmL₂⁺, CmL₃, and CmL₄^? formed during the titration with Cm. Fluorescence lifetime measurements provided additional insight into the complexation of Cm^III with Cyanex301. The stepwise stability constants for the CmL_j^(3?j)+ (j=1–3) complexes are about one order of magnitude higher than the corresponding NdL_j^(3?j)+ complexes. The enthalpies of complexation are endothermic for both Nd^III and Cm^III, suggesting that the energy required for desolvation exceeds the energy gained from the cation/ligand combination. Specifically, the enthalpy of complexation for CmL²⁺ is 3.5 kJ mol^?1 less endothermic than that of NdL²⁺, implying stronger covalent interaction in CmL²⁺ than NdL²⁺. However, the enthalpies of complexation for CmL₂⁺ and NdL₂⁺ are nearly identical, and the enthalpy of complexation for CmL₃(aq) becomes more endothermic than that for NdL₃(aq). The observations suggest that, in the ethanol/water media, the overall energetics of the Cm^III/Nd^III complexation with Cyanex301 could depend on a number of factors, including the extent of covalency, the degree of desolvation, and the coordination modes.     

Spectrophotometric and Calorimetric Studies of Np(V) Complexation with Acetate at Various Temperatures from <Emphasis Type="Italic">T</Emphasis>=283 to 343 K

Spectrophotometric titrations were performed to identify the Np(V)/acetate complex and determine the equilibrium constants at various temperatures (T=283 to 343 K) and at the ionic strength 1.05 mol⋅kg⁻¹. The enthalpies of complexation at the corresponding temperatures were determined by microcalorimetric titrations. Results show that the complexation of Np(V) with acetate is weak but strengthens as the temperature increases. The complexation reaction is endothermic and entropy driven. The enhancement of complexation at higher temperatures is primarily due to the increasingly larger entropy gain when the solvent molecules are released from the highly-ordered solvation spheres of NpO₂⁺\mathrm{NpO}_{2}^{+} and acetate to the bulk solvent where the degree of disorder is higher at higher temperatures.     

Potentiometric study of binary complexes of 3-[(1R)-1-hydroxy-2-(methylamino)ethyl]phenol hydrochloride with some lanthanide ions in aqueous and mixed solutions

The complexation of lanthanide ions (Y³⁺, La³⁺, Ce³⁺, Pr³⁺, Nd³⁺, Sm³⁺, Gd³⁺, Tb³⁺, and Dy³⁺) with 3-[(1R)-1-hydroxy-2-(methylamino)ethyl]phenol hydrochloride was studied at different temperatures and different ionic strengths in aqueous solutions by Irving-Rossotti pH titration technique. Stepwise calculation, PKAS and BEST Fortran IV computer programs were used for determination of proton-ligand and metal-ligand stability constants. The formation of species like MA, MA₂, and MA(OH) is considered in SPEPLOT. Thermodynamic parameters of complex formation (ΔG, ΔH, and ΔS) are also evaluated. Negative ΔG and ΔH values indicate that complex formation is favourable in these experimental conditions. The stability of complexes is also studied at in different solvent-aqueous (vol/vol). The stability series of lanthanide complexes has shown to have the “gadolinium break.” Stability of complexes decreases with increase in ionic strength and temperature. Effect of systematic errors like effect of dissolved carbon dioxide, concentration of alkali, concentration of acid, concentration of ligand and concentration of metal have also been explained.     

Coordination and recognition of lanthanide cations by a methyl-substituted cucurbit[6]uril derived from 3α-methyl-glycoluril

The interactions between a series of lanthanide cations (Ln³⁺) and a methyl-substituted cucurbit[6]uril derived from 3α-methyl-glycoluril (SHMeQ[6]) in the presence of [CdCl₄]^2 ? as a structure-directing agent in aqueous HCl solutions (6.0 mol·L ^? 1) have been investigated. The formation of ionic radius-dependent complexes, the crystal structures of six of which have been obtained, shows the recognition ability of SHMeQ[6] towards lanthanide cations. For example, SHMeQ[6] forms molecular capsule-like complexes with the two lightest lanthanide cations, La³⁺ and Ce³⁺; molecular pairs with Nd³⁺, Sm³⁺, Eu³⁺ and Gd³⁺, and no solid crystals are formed with the heavier lanthanides.     

Synergistic extraction of Ce(III), Eu(III) and Tm(III) with a mixture of picrolonic acid and benzo-15-crown-5 in chloroform

Summary The synergistic mixture comprising picrolonic acid (HPA) and benzo-15-crown-5 (B15C5) in chloroform has been used for the extraction of Ce(III), Eu(III) and Tm(III) as representatives of lanthanide(III) ions from pH 1-2 solutions having ionic strength of 0.1 mol^. dm^-3(K⁺/H⁺, Cl^-). The composition of the extracted species has been determined as M(PA)₃^. nB15C5 where M is Ce, Eu and Tm and n=1 or 2. The influence of various anions and cations on the extraction of these ions has also been studied and only oxalate, cyanide and tartrate have some deleterious effect. The extraction equilibrium constants have been evaluated and discussed.     

Microcalorimetric determination of H 0 , G 0 and S 0 for the interaction of the carrier antibiotics nigericin and monensin with sodium and potassium ions

The thermodynamic parameters ΔH⁰, ΔG⁰ and ΔS⁰ – and thereby the equilibrium constants – for the complexation of the carrier antibiotics nigericin and monensin with sodium and potassium ions in methanol at 25°C have been determined by microcalorimetry. The results are discussed in terms of the nature of the interaction between ligands and cations.     

Thermodynamic behavior of complexation of 18-crown-6 with Tl<Superscript>+</Superscript>, Pb<Superscript>2+</Superscript>, Hg<Superscript>2+</Superscript>, and Zn<Superscript>2+</Superscript> metal cations in methanol-water binary media

The equilibrium constants and thermodynamic parameters for complex formation of 18-Crown-6 (18C6) with Tl⁺, Pb²⁺, Hg²⁺, and Zn²⁺ metal cations have been determined by conductivity measurements in methanol (MeOH)-water (H₂O) binary solutions. 18-Crown-6 forms 1:1 complexes with Hg²⁺ and Zn²⁺ cations, but in the case of Tl⁺ and Pb²⁺ cations, in addition to 1:1 stoichiometry, 1:2 (ML₂) complexes are formed in some binary solvents. The thermodynamic parameters (ΔH _c⁰ and ΔS _c⁰), which were obtained from the temperature dependences of equilibrium constants, show that in most cases the complexes are enthalpy destabilized but entropy stabilized. Non-linear behavior is observed between the equilibrium constants (log K _f ) of complexes and the composition of the mixed solvent. The selectivity of the ligand for these metal cations is sensitive to the solvent composition, and, in some cases, the selectivity order is reversed in certain compositions of the mixed solvent. The results also show that the mechanism of complexation reactions and the stoichiometry of complexes of some metal cations change with the nature and even with the composition of the mixed solvent. The article was submitted by the authors in English.     

Thermodynamic and Structural Trends in Hexavalent Actinyl Cations: Complexation of Dipicolinic Acid with NpO22+ and PuO22+ in Comparison with UO22+

The complexation of NpO₂²⁺ and PuO₂²⁺ with dipicolinic acid (DPA) has been investigated in 0.1 M NaClO₄ by spectrophotometry, microcalorimetry, and single crystal diffractometry. Formation of 1:1 and 1:2 (metal/ligand molar ratio) complexes of DPA with NpO₂²⁺ and PuO₂²⁺ were identified and the thermodynamic parameters were determined and compared with those of UO₂²⁺. All three hexavalent actinyl cations form strong 1:1 DPA complexes with slightly decreasing but comparable stability constants from UO₂²⁺ to PuO₂²⁺, whereas the stability constants of the 1:2 complexes (log β₂) decrease substantially along the series (16.3 for UO₂L₂^2?, 15.17 for NpO₂L₂^2?, and 14.17 for PuO₂L₂^2? at 25 °C). The enthalpies of complexation for the 1:2 complexes become less exothermic from UO₂L₂^2? (?28.9 kJ mol^?1), through NpO₂L₂^2? (?27.2 kJ mol^?1), and to PuO₂L₂^2? (?22.7 kJ mol^?1). The trends in the thermodynamic parameters are discussed in terms of the effective charge of the cations and the steric constraints in the structures of the complexes. In addition, the features of the absorption spectra, including the wavelength and intensity of the absorption bands, are related to the perturbation of the ligand field and the symmetry of the actinyl complexes.     

Thermodynamic characteristics of Cu<Superscript>2+</Superscript> complexation processes with L-phenylalanine in an aqueous solution

The heats of interaction of Cu²⁺ ions with L-phenylalanine in aqueous solution were determined by calorimetry at ionic strengths of 0.50, 0.75, 1.00 (KNO₃) and a temperature of 298.15 K. The results of thermochemical study were interpreted taken into account complexation reactions, protolytic processes, and complexation with the competing ligand (OH^?) taking place in parallel. The effect of supporting electrolyte concentration on the heats of Cu²⁺ complexation with the amino acid was considered. The standard enthalpies of complexation were found by extrapolation to zero ionic strength. The standard enthalpies of formation of complex species in an aqueous solution were calculated.     

Mono-complex formation kinetics of iron(III) with nonsubstituted octane and nonane 2,4-dicarbonyl ligands in aqueous solution

The kinetics and mechanism of the reaction of complexation of iron(III) with 2,4-octanedione and 2,4-nonanedione have been investigated spectrophotometrically in aqueous solution at 10°C and ionic strength 0.5 mol dm^?3 NaClO₄. The equilibrium constants of the mono-complexes have been determined. The mechanism proposed to account for the kinetic data involves a double reversible pathway where both Fe³⁺ and Fe(OH)²⁺ react with the enol tautomer of the ligand. 2,4-Octanedione reacts with Fe³⁺ and Fe(OH)²⁺ with rate constants of 0.65 dm³ mol^?1 s^?1, and 14.07 dm³ mol^?1 s^?1, respectively. For 2,4-nonanedione complexation the rate constants determined are 0.49 dm³ mol^?1 s^?1, and 11.39 dm³ mol^?1 s^?1, respectively. Some discussions are made on the basis of Eigen-Wilkins theory considering the effect of solvent exchange on the complex formation. © 1993 John Wiley & Sons, Inc.     

Extraction of cesium and barium by dicarbollide and polyethylene glycol in the presence of alkylammonium cations

The extraction of cesium and barium cations into nitrobenzene and 60% (vol.%) nitrobenzene +40% CCl₄ mixture in the presence of dicarbollide (+Slovafol 909), and primary alkylammonium cations has been studied. Extraction constants determined for three methylammonium cations correlate well with their hydration enthalpies. Reverse order of the hydrophobicity of methylammonium cations (competition with bare Cs⁺ ion) and of their tendency to enter the polyethylene glycol complex (competition with polyethylene glycol complexed Cs⁺ and Ba²⁺ ions) is recorded. The possibility of the regeneration of the organic phase after stripping of Cs⁺ and Ba²⁺ ions with methylammonium cations has been investigated.     

Affinity capillary electrophoresis employed for determination of stability constants of antamanide complexes with univalent and divalent cations in methanol

Affinity capillary electrophoresis (ACE) and pressure‐assisted ACE were employed to study the noncovalent molecular interactions of antamanide (AA), cyclic decapeptide from the deadly poisonous fungus Amanita phalloides, with univalent (Li⁺, Na⁺, K⁺, and NH₄⁺) and divalent (Mg²⁺ and Ca²⁺) cations in methanol. The strength of these interactions was quantified by the apparent stability constants of the appropriate AA‐cation complexes. The stability constants were calculated using the nonlinear regression analysis of the dependence of the effective electrophoretic mobility of AA on the concentration of the above ions in the BGE (methanolic solution of 20 mM chloroacetic acid, 10 mM Tris, pH_MeOH 7.8, containing 0–50 mM concentrations of the above ions added in the form of chlorides). Prior to stability constant calculation, the AA effective mobilities measured at actual temperature inside the capillary and at variable ionic strength of the BGEs were corrected to the values corresponding to the reference temperature of 25°C and to the constant ionic strength of 10 mM. From the above ions, sodium cation interacted with AA moderately strong with the stability constant 362 ± 16 L/mol. K⁺, Mg²⁺, and Ca²⁺ cations formed with AA weak complexes with stability constants in the range 37–31 L/mol decreasing in the order K⁺ > Ca²⁺ > Mg²⁺. No interactions were observed between AA and small Li⁺ and large NH₄⁺ cations.     

Formation Thermodynamics of Binary and Ternary Lanthanide(III) Complexes with 1,10-Phenanthroline and Chloride in N,N-Dimethylformamide

Formation thermodynamics of binary and ternary lanthanide(III) (Ln = La, Ce, Nd, Eu, Gd, Dy, Tm, Lu) complexes with 1,10-phenanthroline (phen) and the chloride ion have been studied by titration calorimetry and spectrophotometry in N,N-dimethyl-formamide (DMF) containing 0.2 mol-dm^–3 (C₂H₅)₄NClO₄ as a constant ionic medium at 25°C. In the binary system with 1,10-phenanthroline, the Ln(phen)³⁺ complex is formed for all the lanthanide(III) ions examined. The reaction enthalpy and entropy values for the formation of Ln(phen)³⁺ decrease in the order La > Ce > Nd, then increase in the order Nd < Eu < Gd < Dy, and again decrease in the order Dy > Tm > Lu. The variation is explained in terms of the coordination structure of Ln(phen)³⁺ that changes from eight to seven coordination with decreasing ionic radius of the metal ion. In the ternary Ln³⁺-Cl^–-phen system, the formation of LnCl(phen)²⁺, LnCl₂(phen)⁺, and LnCl₃(phen) was established for cerium(III), neodymium(III), and thulium(III), and their formation constants, enthalpies, and entropies were obtained. The enthalpy and entropy values are also discussed from the structural point of view.     

Standard thermodynamic functions and constants of the formation of Nd<Superscript>3+</Superscript> and Lа<Superscript>3+</Superscript> complexes with glycine in aqueous solutions at 298 K

The enthalpies of complexation of glycine (HGly^±) with Nd³⁺ and La³⁺ ions at 298.15 K and at an ionic strength of 0.5 (KNO3) are determined by means of calorimetry. The thermodynamic characteristics of the reactions of formation are calculated for NdGly²⁺, NdGly ₂ ⁺ , LaGly²⁺, and LaGly ₂ ⁺ complexes.     

Influence of Mg2+ Ion on Thermodynamic Parameters of Gd3+ and Ho3+ Complexation with n-Butyric Acid in Aqueous Solutions

Thermodynamic parameters of complexation were determined from data of calorimetric titration of LnCl₃-Hbut-Mg²⁺ and LnCl₃-HBut systems (Hbut is n-butyric acid) at 298 K and ionic strength 1.0 mol/l KCl. The Mg²⁺ ions were found to influence thermodynamic parameters of the lanthanide ion complexation with HBut.     

Complexation of Cd2+, Ni2+, and Ag+ metal ions with 4,13-didecyl-l,7,10,16-tetraoxa-4,13-diazacyclooctadecane in acetonitrile-ethylacetate binary mixtures

Conductometric titrations have been performed in acetonitrile-ethylacetate (AN-EtOAc) binary solutions at 288, 298, 308, and 318 K to obtain the stoichiometry, the complex stability constants and the standard thermodynamic parameters for the complexation of Cd²⁺, Ni²⁺, and Ag⁺ cations with 4,13-didecyl-1,7,10,16-tetraoxa-4,13-diazacyclooctadecane (cryptand 22DD). The stability constants of the resulting 1: 1 complexes formed between the metal cations and the ligand were determined by computer fitting of the conductance-mole ratio data. There is a non-linear relationship between the logK _f values of complexes and the mole fraction of ethylacetate in the mixed solvent system. In addition, the conductometric data show that the stoichiometry of the complexes formed between the Cd²⁺, Ni²⁺, and Ag⁺ cations with the ligand changes with the nature of the solvent. The standard enthalpy and entropy values for the 1: 1 [ML] complexation reactions were evaluated from the temperature dependence of the formation constants. Thermodynamically, the complexation processes of the metal cations with the C22DD, is mainly entropy governed and the values of thermodynamic parameters are influenced by the nature and composition of the binary mixed solvent solutions.     

Computational study on the structure and properties of ternary complexes of Ln3+ (Ln = La, Ce, Nd AND Sm) with 5,7-dichloroquinoline-8-ol and 4-vinyl pyridine

In the present research, we have mainly concentrated on the survey of interactions in Ln³⁺ (Ln = La, Ce, Nd, and Sm) ternary complexes of 5,7-dichloroquinoline-8-ol (DCQ) and 4-vinyl pyridine (VP), [Ln(VP)₂(DCQ)₃]³⁺ by means of density functional theory, Hartree-Fock and Sparkle/PM3 semi-empirical computational methods. For VP and DCQ ligands, the cation binding energy sequence follows the order La³⁺ > Ce³⁺ > Nd³⁺ > Sm³⁺ as expected based on increasing in the hardness and decreasing in the ionic radius of this lanthanide cation series. A similar trend was observed in the calculated binding energy of the aforesaid ligands with the hydrated lanthanide cation series [Ln(H₂O)₉]³⁺, while the computed values of deformation energy of ligands upon complexation demonstrated an opposite order in the lanthanide cation series. Moreover, the solvent effects are considered via a polarized continuum model and provided a significant increase in the binding strength while the relative magnitude of binding energies is the same as that in the gas phase. Combining quantum and statistical mechanical calculations, we have also determined quantitatively a reliable estimate of the conformational distribution of the [Sm(VP)₂(DCQ)₃]³⁺ complex at various temperatures in the gas phase by computing the molecular partition functions and consequently the analysis of the conformational equilibrium constants.