MP2 study of the proton-donating power of 100% fluorosulfonic and chlorosulfonic acids

The energies of gas-phase solvation of the FSO₃H ₂ ⁺ , and ClSO₃H ₂ ⁺ cations and FSO ₃ ^? , ClSO ₃ ^? anions by one molecule of the respective acid (FSO₃H or ClSO₃H) have been calculated by a quantum chemical method taking into account electron correlation in terms of MP2 theory with a 6-311++G(d,p) basis set. The energy of additional solvation of the resulting complexes by liquid acid has been estimated within the continuum model of solvation by the IPCM method, with the acid modeled as a continuum with a large dielectric constant. The calculated data have provided a quantitative estimate for the energy of self-ionization of liquid FSO₃H and ClSO₃H acids. The similarly calculated energy of solvation of protons in 100% fluorosulfonic and chlorosulfonic acids is lower than the heat of hydration of the proton in aqueous solution by 23.4 and 24.5 kcal/mol, respectively. These quantum chemical data explain why 100% liquid fluorosulfonic and chlorosulfonic acids exhibit the properties of a superacid.     

Changes in the composition of the solvation shell of lithium ions in γ-butyrolactone upon addition of 15-crown-5 as studied by quantum chemistry

Quantum chemical modeling of Li⁺ ion transfer from the solvation shell of γ-butyrolactone (GBL) as the solvent to the cavity of 15-crown-5 (15C5) macrocyclic ligand was carried out. Calculations were performed using the PBE nonempirical density functional and an extended basis for the SBK pseudopotential. The solvation energy was included in the framework of the polarizable continuum model. The calculated geometric parameters of GBL and 15C5 molecules are in good agreement with experimental X-ray data. The energies and structures of the Li(GBL) _n ⁺ (n = 1–5) complexes and Li(GBL) _m (15C5)⁺ (m = 0–3) mixed complexes were calculated. The binding energy of the fifth GBL molecule is low; therefore, the Li⁺ ion is mainly surrounded by four GBL molecules. The formation of mixed complexes by consecutive displacement of GBL molecules from the solvation shell of the lithium ion leads to structures with the coordination number 5. The equilibrium constants of these processes were used to determine the dependence of the composition of the solvation complexes on the concentration of 15C5 in the system. The concentrations of the Li(15C5)⁺ and Li(GBL)(15C5)⁺ complexes appeared to be comparable. The revealed structural features of the Li⁺ solvation complexes in the GBL-15C5 system were used to analyze the operating efficiency of lithium power sources.     

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

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⁺.     

A study of ion exchange equilibrium for some uni-univalent and uni-divalent reaction systems using strongly basic anion exchange resin Indion-830 (Type 1)

A study of the thermodynamics of ion exchange equilibrium for uni-univalent Cl⁻/I⁻, Cl⁻/Br⁻ and uni-divalent Cl⁻/SO ₄ ²⁻ , Cl⁻/C₂O ₄ ²⁻ reaction systems was carried out using ion exchange resin Indion-830 (Type 1). The equilibrium constant K was calculated by taking into account the activity coefficients of ions both in solution and in the resin phase. For uni-univalent ion exchange reaction systems, the equilibrium constants K′ were also calculated from the mole fraction of ions in the resin phase. The K values calculated for uni-univalent and uni-divalent anion exchange reaction systems increased as the temperature grew, indicating the endothermic character of the exchange reactions with enthalpies of 38.2, 32.3, 7.6, and 11.4 kJ/mol, respectively. The article is published in the original.     

The influence of hydrophobic amino acid side groups on the acidity of the aromatic imidazole ring of histidine: A theoretical study

In this study we have calculated the acidity constant (pKa) of imidazole ring in Histidine‐Hydrophobic amino acid dipeptides using the quantum chemistry and continuum solvation methods. Density functional theory calculations with the large basis sets are used to determine the Gibbs free energy of deprotonate in the gas and liquid phases. Based on our results ΔG_S values are located between ?69.38 and ?18.82 kcal mol^?1 which are related to His⁺–Gly and His forms, respectively. pKa of the dipeptides in the aqueous phase was obtained from the calculated gas‐phase and solvation free energies through a thermodynamic cycle and the solvation model chemistry of Martin Karplus et al. Solvation effects are treated using a self‐consistent reaction field formalism involving polarized continuum models. According to our calculations pKa values are between 5.50 and 8.19 that are belong to His⁺–ILe and His⁺–Ala forms, respectively. Natural bond orbital analysis of dipeptides reveals that the electron delocalization in imidazole ring is the most effective factor in determination of acidity order for these compounds. Structural analysis confirmed that the orientation of carbonyl group with respect to imidazole ring is an effective factor in imidazole ring stability. © 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2011     

Study on ion exchange equilibrium for some uni-univalent and uni-divalent reaction systems using strongly basic anion-exchange resin Duolite A-113

The study on thermodynamics of ion exchange equilibrium for uni-univalent Cl⁻/I⁻, Cl⁻/Br⁻, and uni-divalent Cl⁻/SO₄²⁻, Cl⁻/C₂O₄²⁻ reaction systems was carried out using ion-exchange resin Duolite A-113. The equilibrium constant K was calculated by taking into account the activity coefficient of ions both in solution as well as in the resin phase. The K values calculated for uni-univalent and uni-divalent anion exchange reaction systems were observed to increase with rise in temperature, indicating the endothermic exchange reactions having enthalpy values of 17.21, 36.60, 19.50, 18.43 kJ/mol respectively.     

Study on mechanism for oxidation of <Emphasis Type="Italic">N,N</Emphasis>-dimethylhydroxylamine by nitrous acid

The oxidation of N,N-dimethylhydroxylamine (DMHAN) by nitrous acid is investigated in perchloric acid and nitric acid medium, respectively. The effects of H⁺, DMHAN, ionic strength and temperature on the reaction are studied. The rate equation in perchloric acid medium has been determined to be −d[HNO₂]/dt = k[DMHAN][HNO₂], where k = 12.8 ± 1.0 (mol/L)⁻¹ min⁻¹ when the temperature is 18.5 °C and the ionic strength is 0.73 mol/L with an activation energy about 41.5 kJ mol⁻¹. The reaction becomes complicated when it is performed in nitric acid medium. When the molarity of HNO₃ is higher than 1.0 mol/L, nitrous acid will be produced via the reaction between nitric acid and DMHAN. The reaction products are analyzed and the reaction mechanism is discussed in this paper.     

Proton mobility in complex [RhL4Cl2]HSO4 · nH2SO4 · mH2O salts (L = Py, γ-picoline)

The method of deposition from solutions was used to synthesize [RhL ₄Cl₂]HSO₄ · nH₂SO₄ · mH₂O complex salts (L = Py, γ-picoline), n ≈ 0.5−0.6, m ≈ 5−6. According to the data of X-ray phase analysis, the crystal structure of these salts is formed by layers of cations separated by layers consisting of anions molecules of sulfuric acid and water connected through a system of hydrogen bonds. Calorimetric methods were used to study phase transitions and the range of thermal stability of salts. The method of ¹H NMR spectroscopy discovered that protons within the {HSO₄⁻ · nH₂SO₄ · mH₂O} subsystem featured enhanced conductivity. Conductivity studies showed that trans-[RhL ₄Cl₂]HSO₄ · nH₂SO₄ · mH₂O samples had high proton conductivity.     

The reduction kinetics of pertechnetate by thiocyanate in perchloric acid medium

The reduction kinetics of pertechnetate by thiocyanate in perchloric acid is studied by spectrophotometric method. The effect of the concentrations of pertechnetate, hydrogen ion and thiocyanate on the reaction rate is investigated. The kinetic expression at 25°C is: −dC _VII/dt=(2.2±0.4)·10⁻³ [TcO₄ ⁻]^1.1 [H⁺]^3.2 [SCN⁻]^3.3 The effect of temperature on the reaction rate is studied. The activation energy is 91 kJ/mol. The possible mechanism of the reaction is discussed.     

Kinetics of oxidation of pentaammine-isothiocyanato-cobalt(III) ion with peroxodisulphate and periodate in water and water-organic mixtures

Summary The kinetics of oxidation of [Co(NH₃)₅(NCS)]²⁺ by peroxodisulphate and periodate were investigated at different ionic strengths, and at different temperatures and concentrations of perchloric acid. Rate constants and activation parameters are also reported in mixed water-organic solvents. It was shown that the acid-base equilibria involving S₂O ₈ ⁻² , and IO ₄ ⁻ ions are important in the reactions studied. Solvent effects on the oxidation are interpreted in terms of the solvation of both the initial state and the activated complex.     

Proton Solvation in Nonaqueous HF as a Main Factor That Determines Its Superacidic Properties

The Hartree–Fock method and electron correlation at the MP2 level in the 6-31++G** basis set is used together with the combined method for taking into account solvation (the discrete model of microsolvation and the polarizable continuum model (PCM)) to study the following molecular systems in the medium of liquid HF: [HFH]⁺, [HFHFH]⁺, [HF...HFH...FH]⁺, [HF...HFHFH...FH]⁺, and [HF...HF...HFH...FH...FH]⁺. The results of calculation make it possible to explain the anomalously high activity of protons in nonaqueous HF by a lower solvation energy of protons in liquid HF (by 48 kcal/mol) than in water. A conclusion is drawn that the combined method used in this work (the discrete model of microsolvation and PCM) is an efficient tool in estimating the contribution from the solvation to the thermodynamic parameters of the reaction in liquid HF.     

Thermokinetic studies of poly(<Emphasis Type="Italic">o</Emphasis>-toluidine) doped with perchloric acid

Thermokinetic parameters of the solid-state of poly(o-toluidine) (POT) doped with perchloric (HClO₄) acid was studied by thermogravimetric analysis (TG) and differential thermal analysis (DTA) under non-isothermal conditions. Molecular mechanics (MM) calculations suggest that the optimal geometric structure (OMG) of the HClO₄-doped POT is at least four orders of magnitude more stable than the molecular geometric (MG) structure. These calculations indicate that the potential energy (PE/kJ mol⁻¹) of the OMG is about four (1.09·10⁴) orders of magnitude lower than the MG structure of the same matrix. The empirical formula of the doped polymer is best represented by [POT-2HClO₄·2H₂O]_n as substantiate by elemental analysis and MM calculations. The full polymer decomposition and degradation were found to occur in three stages during the temperature increase. The decomposition activation energy (E _d) of HClO₄-doped POT matrix was calculated by employing different approximations. The heating rate (α) of the decomposition and the frequency factor (K _o) were calculated. A number of equations were used to evaluate the kinetic parameters. The mechanism of the degradation of the conducting polymer is explained on the basis of their kinetic parameters. A remarkable heating rate dependence of the decomposition rate was observed.     

Proton magnetic resonance study of rotational isomerism in vinylcycloalkanes

The vicinal coupling constant, J(12), between the vinyl CH and the ring CH protons in vinylcyclohexane was calculated from a ‘partial molecule’ six-spin system. The 100 and 270 MHz results are in good agreement; those at 60 MHz were, however, still inaccurate in this approximation. J(12) increases with increasing solvent polarity and decreasing temperature. The energy difference between the s-trans and gauche conformers in both C₂Cl₄ and perdeuterioacetone solvents is 879 ± 167 J mol^?1 (210±40 cal mole^?1). The s-trans conformer is the most stable, in contrast to the isoelectronic cyclohexylcarboxyaldehyde where the gauche rotamers are lower in energy.     

Stability Constant of the EuCl2+ Complex in Several Ionic Strength Media

The stability constant of the EuCl^{2 +} complex was determined in perchloric acid media at 0.2, 0.5, and 1.0 M ionic strength by means of a solvent extraction method with dinonyl naphthalene sulfonic acid at 30°C. The values for _1,Cl were: 2.1 ± 0.1, 1.45 ± 0.01, and 0.84 ± 0.07, respectively, for each of the media. The Brønsted–Guggenheim–Scatchard specific ion interaction theory (SIT) was applied to these data and to some literature data to calculate a _1,Cl of 23.9 at infinite dilution. The calculated specific ion interaction coefficient for the pair EuCl^{2 +}, ClO₄ ^– was 0.52. Species-distribution diagrams have been analyzed.     

Kinetic and mechanistic studies of the interaction of 2-mercapto pyridine with dichloro[1-alkyl-2-(arylazo)imidazole]palladium(II) complexes

Nucleophilic substitution of Pd(RaaiR′)Cl₂ [(RaaiR′ = 1-alkyl-2-(arylazo)imidazole, p-R-C₆H₄-N=N-C₃H₂NN-1-R′; where R = H(a)/ Me(b)/ Cl(c) and R′ = Et(1)/Bz(2)] with 2-Mercaptopyridine (2-SH-Py) in acetonitrile (MeCN) at 298 K, to form [Pd₂(2-S-Py)₄], has been studied spectrophotometrically under pseudo-first-order conditions and the analyses support the nucleophilic association path. The reaction follows the rate law, Rate = {k ₀ + k [2-SH-Py] ₀ ² }[Pd(RaaiR′)Cl₂]: first order in Pd(RaaiR′)Cl₂ and second order in 2-SH-Py. The rate of the reaction follows the order: Pd(RaaiEt)Cl₂ (1) < Pd(RaaiBz)Cl₂ (2) and Pd(MeaaiR′)Cl₂ (b) < Pd(HaaiR′)Cl₂ (a) < Pd(ClaaiR′)Cl₂ (c). External addition of Cl⁻ (LiCl) and HCl suppresses the rate (Rate ∝ 1/[Cl⁻]₀ & ∝1/[HCl]₀). The reactions have been studied at different temperatures (293–308 K) and activation parameters (Δ^‡ H° and Δ ^‡ S°) of the reactions were calculated from the Eyring plot and support the proposed mechanism.     

Vinyl polymerization of acrylamide initiated by Thallium(III) ions in solution

Kinetics of polymerization of acrylamide initiated by Thallium(III) perchlorate was investigated in aqueous perchloric acid medium in the temperature range of 55–70°C. The rates of polymerization were measured varying the concentration of the monomer, initiator, and perchloric acid. The rate of polymerization was found to increase with increase of temperature, monomer concentration, initiator concentration, and perchloric acid concentration. The effect of additives like different solvents, surfactants, and retarders on the rate of polymerization was studied. Molecular weights of the polymer were determined by viscometry. The chain transfer constants for the monomer (C_M) and that for the solvent dioxan (C_s) were calculated to be 7.33 × 10^?3 and 6.66 × 10^?3, respectively. From the Arrhenius plot, the overall activation energy (E_a) was calculated to be 10.68 kcal/mol. The energy of initiation was calculated to be 12.36 kcal/mol. Depending on the results obtained, a suitable reaction mechanism has been suggested and a rate equation has been derived.     

Quantum-chemical investigation of structure and reactivity of pyrazol-5-ones and their thio- and seleno-analogs: X. Solvent effect on the chemical shifts of nuclei in the molecules of 3-methylpyrazol-5-ones and 1-phenyl-3-methylchalcogenepyrazol-5-ones and characteristics of tautomeric equilibrium in these compounds

By quantum-chemical DFT/GIAO method chemical shifts of all nuclei in the NMR spectra of 3-methylpyrazol-5-one and 1-phenyl-3-methylchalcogenopyrazol-5-ones in chloroform and dimethyl sulfoxide were calculated and analyzed using various solvation models. Low sensitivity to solvent of the chemical shfts of ¹³C and ¹H nuclei (except for “acidic” protons) calculated in the framework of various continuum models is revealed. Discrete and discrete-continuum models reflect well deshielding of the active centers of H-complexation and chemical shifts of “acidic” protons of the studied pyrazolones in solutions. Optimization of geometry of pyrazolones in solutions only slightly improves the agreement between the theoretically calculated and the experimental values. Shielding of nitrogen, oxygen, sulfur, and selenium atoms is more sensitive to the nature of solvent and to the nature of tautomeric forms. The methods of NMR spectroscopy allow to identify reliably the dominating tautomeric form but they are insufficient for the quantitative characterization of tautomeric equilibria.     

RISM-SCF study of the free-energy profile of the Menshutkin-type reaction NH3+CH3Cl→NH3CH3++Cl− in aqueous solution

The free-energy profile for the Menshutkin-type reaction NH₃ + CH₃Cl → NH₃CH₃ ⁺ + Cl⁻ in aqueous solution is studied using the RISM-SCF method. The effect of electron correlation on the free-energy profile is estimated by the RISM-MP2 method at the HF optimized geometries along the reaction coordinate. Solvation was found to have a large influence on the vibrational frequencies at the reactant, transition state and product; these vibrational frequencies are utilized to calculate the zero-point energy correction of the free-energy profile. The computed barrier height and reaction exothermicity are in reasonable agreement with those of experiment and previous calculations. The change of solvation structure along the reaction path is represented by radial distribution functions between solute-solvent atomic sites. The mechanisms of the reaction are discussed from the view points of solute electronic and solvation structures. Received: 26 June 1998/Accepted: 28 August 1998 / Published online: 2 November 1998     

The inflection point of the variation of interionic distance between Sm3+ and Cl− in a methanol and water mixture

The stability constants, β₁, of the monochloride complex of Sm(III) have been determined in mixed system of methanol and water at 1.00 mol dm⁻³ ionic strength using a solvent extraction technique. The values of β₁ increase with an increase in the mole fraction of methanol (X _s ) in the mixed solvent system when 0≤X _s ≤0.351. The interionic distance of Sm³⁺−Cl⁻ (d _Sm−Cl) in the mixed solvent system was estimated by applying the Gibb's free energy derived from β₁ to a Born-type equation. It was determined that an inflection point of the variation in the estimatedd _Sm−Cl againstX _s was present in the vicinity ofX _s =0.054. The inflection point ofd _Sm−Cl shows a value ofX _s between those ofd _Eu−Cl andd _Nd−Cl previously obtained by us.