Diffusion coefficients and complex equilibria in solution-II Approximate evaluation of formation constants

It is shown, for four systems containing complexes of widely differing stabilities, that a very fair assessment of the values of formation constants is obtainable from the data pairs Deltai(d) log [X] (the pseudo-formation curve). This is seen as a preliminary exercise to the more precise analysis which is possible in terms of mean diffusion coefficients which feature in equations reported earlier.     

SPECA: a program for the calculation of thermodynamic equilibrium constants from spectrophotometric data

A computer program called SPECA and written in compiled BASIC (Microsoft QuickBasic Ver. 4.5) has been written for the calculation of thermodynamic constants in solution equilibria studies from spectrophotometric measurements. In order to calculate the thermodynamic constants it is necessary to introduce different theories to estimate the activity coefficients of the system involved under investigation. In this version of the program the equations proposed in the models of Debye-Hückel. Specific Interaction Theory (SIT) or the Modified's Bromley Theory can be chosen. To achieve its purpose, the program uses absorbance and activity or free concentration data of one of the components, normally H(+), and it is not limited with respect to the number of components that can be studied. Minimization of the error square sum in the absorbance, which can be absolute or relative, is carried out using the Levenberg-Marquardt-Nash algorithm at three different levels: equilibrium constants in the first level, molar absorptivities in the second and interaction coefficients in the third for those systems using the SIT or the Modified Bromley's Theories.     

Improved modification for the density-functional theory calculation of thermodynamic properties for C-H-O composite compounds

A three-parametric modification equation and the least-squares approach are adopted to calibrating hybrid density-functional theory energies of C(1)-C(10) straight-chain aldehydes, alcohols, and alkoxides to accurate enthalpies of formation DeltaH(f) and Gibbs free energies of formation DeltaG(f), respectively. All calculated energies of the C-H-O composite compounds were obtained based on B3LYP6-311++G(3df,2pd) single-point energies and the related thermal corrections of B3LYP6-31G(d,p) optimized geometries. This investigation revealed that all compounds had 0.05% average absolute relative error (ARE) for the atomization energies, with mean value of absolute error (MAE) of just 2.1 kJ/mol (0.5 kcal/mol) for the DeltaH(f) and 2.4 kJ/mol (0.6 kcal/mol) for the DeltaG(f) of formation.     

The use of a digital computer for the calculation of successive complex formation constants

A simple digital computer technique is described for the calculation of the successive complex formation constants in systems in which only 2 types of complexes are formed. This method should prove useful for the calculation of equilibrium constants in more complicated systems.     

On linear programming approach for the calculation of chemical equilibrium in complex thermodynamic systems

The advantages of linear programming approach for the calculation of chemical equilibrium in complex thermodynamic systems are demonstrated. The algorithm presented is used for the development of software package for thermodynamic modeling.     

Experimental testing of the calculation results of the dissociation constants of organic compounds in nonaqueous media

27 Dissociation constants of carboxylic and NH-acids in methanol, ethanol and formamide were measured by potentiometric method. The selection of compounds for the analysis is determined by the preliminary computation of the constants by elemental linear empirical method, and also by the absence of the consistent published data on the values for the chosen compounds. The comparison of results showed that the obtained values of dissociation constants as a rule are consistent with those predicted in the range with the relative error of 10%.     

Thermal lens spectrometry as a tool for determination of stability constants of complex compounds

The potential of thermal lens spectrometry in the determination of stability constants of complex compounds was explored using copper(I) and iron(II) complexes with 1,10-phenanthroline and 2,9-dimethyl-1,10-phenanthroline as examples. Thermal lens spectrometry offers advantages over conventional spectrophotometry in the determination of stability constants both in aqueous and nonaqueous media. The overall and stepwise stability constants of iron(II) tris(1,10-phenanthrolinate), copper(I) bis(2,9-dimethyl-1,10-phenanthrolinate), and copper(I) bis(1,10-phenanthrolinate) were determined at levels as low as 10⁻⁸–10⁻⁶ mol L⁻¹.__________Published in Russian in Izvestiya Akademii Nauk. Seriya Khimicheskaya, No. 1, pp. 123–133, January, 2005.     

Coupling constants of triphenyltin compounds

³JSnCCH (ortho) for Ph₃SnX (X = Cl, I, NCO, NCS, N₃) have been theoretically calculated and it is found that they are in close agreement with the corresponding observed values of the coupling constants. There exists a linear correlation between the theoretical and experimental coupling constants and electronegativity on the Pauling scale (x_p) of X and Σx_p3Ph - x_PX.     

冠醚配合物热力学性质的研究VI. 几种冠醚配合物的CNDO/2计算

本文用CNDO/2方法从理论上探讨了碱金属离子Na^+,K^+和Cs^+与2,3-苯并-8,11,15-三甲基-18-冠-6(简称BC3-18C6)在溶液中发生的配位反应,计算了配位反应中CNDO总能量的变化,再现了量热法所得出的碱金属离子Na^+,K^+和Cs^+与BC3-18C6在溶液中生成配合物的稳定性次序:K^+>Na^+>Cs^+。所计算的配位能和配合物的水化能表明,在水溶液中碱金属水合离子与冠醚配位,形成稳定的二水配位的碱金属离子冠醚配合物[M(BC3-18GC6)(H~2O)~2]^+。碱金属离子与冠醚中的氧形成的金属-氧键不如其水合物中的金属-氧键强,碱金属离子能与冠醚配位形成稳定的配合物主要是由于配体的大环效应和配合物的溶剂化作用。     

Empirical procedure for the calculation of ionization constants of organic compounds in water from their molecular volume

An empirical procedure was used to calculate 278 ionization constants of 271 organic compounds, including phenols, NH acids, benzoic acid derivatives, and mono- and dihydric carboxylic acids, in water. The examined compounds were divided into 11 structural groups. The ionization constants for compounds belonging to a single group were calculated from constant empirical coefficients, molecular volumes, and formulas with an average error of less than 3.5%, the maximal error not exceeding 9.9%.     

Dissociation constants of organophosphinic acid compounds

The dissociation equilibria of di(2,4,4-trimethylpentyi) phosphinic acid, mono(2,4,4-trimethylpentyl) phosphinic acid, di(n-octyl)phosphinic acid and mono(n-octyl)phosphinic acid have been studied in ethanol-water mixtures by potentiometric titration at 25 degrees C. These data have been analysed both graphically numerically using the program LETAGROP-ZETA. The obtained pK(a) values have been correlated with the corresponding values in water, determined both indirectly by means of extraction measurements and by estimation using the suitable Hammett equation.     

QSPR approach to the calculation of rate constants of homolysis of nitro compounds in different states of aggregation

A method for the theoretical estimation and prediction of rate constants of homolysis of nitro compounds of different chemical classes in the gas phase is proposed on the basis of the QSPR approach.Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 9, pp. 1653–1656, September, 1995.The authors express gratitude to B. A. Lur'e (D. I. Mendelev Moscow Academy of Chemical Technology) for fruitful advice during discussion of the results.