Mathematical Modeling of Ru(VI)-catalyzed Oxidation of Alcohols by Hexacyanoferrate(III)

The title kinetics reaction has been modeled with a system of ordinary differential equations, for the concentrations of the compounds. In these equations, the velocity constants are unknown. In this work, the four constants had been evaluated by minimizing a mean squares expression comparing the experimental measures of the concentration of hexacyanoferrate(III) with the solution of the system of ordinary differential equations. This problem has not a unique solution and there is an infinite set of constants which minimize the expression. Several sets of possible constants have been analyzed. One of them has been obtained estimating two of the constants with the stationary state approach. For the model to be well posed the constants must fulfill a condition. Information about the order of magnitude of the constants has been reached.     

Molecular vibrational constants of some simple polyatomic molecules. Methyl,silyl, and germyl halides

The force constants and compliance constants of methyl, silyl, and germyl fluoride, chloride, bromide, and iodide have been calculated by the iterative consistency method. Using the force fields so obtained, centrifugal distortion constants, Coriolis coupling constants, and mean amplitudes of vibration have been computed and compared with experimental data, where available.     

Relation between the structure and extracting power of higher tertiary amines

The effect of the composition and structure of higher tertiary amines on their efficiency in extracting nitric acid has been examined. The ionization constants of the amines in methanol have been determined by potentiometric titration. The extraction constants for nitric acid have been determined at constant ionic strength in the aqueous phase (μ=1). The dependence of these constants upon the concentrations and the degree of association of the amine salts in the organic phase has been examined. For the cases in which the role of steric factors is negligible it has been shown that at low amine salt concentrations in the organic phase there are quantitative regularities between the ionization constants of the amines in methanol, their extraction constants for nitric acid and the inductive effects of the substituents on the nitrogen atom.     

Calculation of gauche coupling constants from substituent electronegativities

The calculation of gauche coupling constants from substituent electronegativities by a method which takes into account the orientation of the substituents is described. This correlation has been derived from the coupling constants of disubstituted ethanes and has been applied to the calculation of coupling constants in cyclohexanes and 6-membered heterocycles. The detection of angular distortion in 6-membered rings from the difference between calculated and observed coupling constants is also described.     

配位化学中的直线自由能关系XXI: 铜(II)-13-取代苄基-1, 4, 8, 11-四氮杂环十四烷-12, 14-二酮配合物的生成及酸分解行为研究

采用pH法, 在25.0±0.1℃, I=0.1 mol.dm^-^3 (KNO3)条件下, 测定了13-取代苄基-1, 4, 8, 11-四氮杂环十四烷-12,14-二酮的质子化常数及其与Cu(II)配位的平衡常数。讨论了配体与金属离子的配位方式。在25.0±0.1℃, 离子强度为0.1mol.dm^-^3 (KNO3)下, 采用分光光度法, 研究了这些配体铜(II)配合物的酸分解动力学行为。探讨了配合物酸分解机理,得到了速控步的速率常数。发现配位反应平衡常数与配体的质子化常数及配合物酸分解反应速率常数之间存在较好的Hammett型和Bronsted型直线自由能关系。同时探讨了取代基对配合物生成及酸分解的影响情况。     

Structural effects on the rates of the ion molecule reactions of organic heterocycles

Rate constants for proton transfer reactions of seven heterocyclic amines, eight heterocyclic ethers and propylene sulfide have been measured by photoionization mass specrometry. Rate constants for dimerization of four sulfides have also been measured. The measured rate constants have also been compared to the theoretical (ADO) rate constants. In all cases the ADO rate constants show only small variations with structure. In fact for the mono-heterocycles all but one of the ADO rate constants are between 2.0 and 1.5 × 10^?9 cc molec^?1 sec^?1. The observed rate constants show considerable dependence on chemical structure. The amines react faster than the oxides which in turn react faster than the sulfides. N-Methyl substitution on pyrrolidine and piperidine lowers their rate constants by about a factor of two while, propylene oxide reacts eighteen percent faster than ethylene oxide. Examination of the variation in the observed rate constants as a function of ring size for each group of heterocycles indicates a distinct structure-reactivity correlation although we have not attempted to rationalize this correlation. There is also a structure-reactivity dependence observed in the six-membered oxygen heterocycles having a second heteroatom O, NH, or S in the 4-position. The rate constants increase with the electronegativity of the second heteroatom.     

Computed coupling constants in X(CH3)nH(4-n) moieties where X = 13C and 15N+, and n = 0-4: comparisons with experimental data

Seventy-three unique spin-spin coupling constants have been analyzed for the ten species in the two series X(CH3)nH(4-n), where the central atom X is 13C or 15N+. Thirty-seven experimental values have been obtained from the literature, and several new coupling constants have been measured for the methyl-substituted ammonium ions. Both DFT with the B3LYP functional and ab initio EOM-CCSD calculations have been carried out on these same systems. Coupling constants computed by these two methods are in agreement with experimental values. Some problems related to coupling constants for the cationic ammonium systems have been resolved when these were recomputed at EOM-CCSD for complexes in which NH4+ is hydrogen-bonded to H2O molecules.     

Potentiometric Study of the Chelates of Al(III), Ce(IV) and Th(IV) with Alizarin Red S

The stepwise metal-ligand stability constants of ARS chelates with Al³⁺, Ce¹⁺ and Th⁴⁺ have been determined by using Bjerrum-Calvin technique. Various computational methods were used to determine the stability constants. The thermodynamic stability constants were also calculated by determining the stepwise stability constants at various ionic strengths and then by extrapolating to zero ionic strength. The order of stability constants was found to be: Th>Al>Ce.     

Molecular vibrational constants of some simple polyatomic molecules: trihalogenomethanes,CHX3 and trihalogenosilanes,SiHX3 (X = F,Cl, Br)

Force constants and compliance constants for the CHX₃ and SiHX₃ molecules have been obtained, using the vibrational frequencies of CHX₃ and CDX₃ (SiHX₃ and SiDX₃) molecules only. The reliability of the resulting force field has been checked by calculation of Coriolis coupling constants, centrifugal distortion constants and mean amplitudes of vibration and by comparison with the available experimental data.     

Coriolis coupling constants of cis and trans-1,2-dichloroethylene

Coriolis coupling constants and the inertia defect for cis- and trans-1,2-dichloroethylene have been calculated, using force constants obtained by the iterative consistency method. The results obtained are compared with those of previous workers and it is shown that two sets of force constants which reproduce the vibrational frequencies satisfactorily lead to completely different values for the Coriolis coupling constants.     

Microwave spectra ofs-cis-Glyoxal (CHO−CHO) molecules in excited vibrational states

The microwave spectra of s-cis-glyoxal molecules in the excited states of torsional (v_t=1,2) and bending (v_bend=1) vibrations have been studied. For the v_t=1 state, the rotational constants have been refined and the quartic constants of centrifugal distorition have been determined. For the excited v_t=2 and v_bend=1 states, the rotational constants have found. For the ground vibrational state, the rotational constants and the quartic constants of centrifugal distortion have been refined. The vibrational frequencies have been determined from the relative intensities of rotational transitions. Ufa Scientific Center of Russian Academy of Sciences, Physics Department. Translated fromZhurnal Strukturnoi Khimii, Vol. 36, No. 3, pp.418–423, May–June, 1995. Translated by I. Izvekova     

Ionic strength dependence of formation constants-V Protonation constants of some nitrogen-containing ligands at different temperatures and ionic strengths

The protonation constants of 2,2'-bipyridyl, 1,10-phenanthroline, 1,3-diaminopropane, l-histidine and histamine have been determined potentiometrically, in the temperature range 10-40 degrees and at ionic strengths ranging from 0.04 to 1 (potassium chloride). The dependence of the protonation constants on ionic strength is described by a simple general equation. The enthalpy changes for the protonation of the ligands have been calculated from the temperature dependence of the protonation constants.     

A force field study of diacetylene molecule by kinetic constant method

The potential constants of diacetylene molecule has been evaluated using kinetic constants. The other molecular constants such as the generalised vibrational mean amplitudes, shrinkage constants, Coriolis coupling constants and centrifugal distortion constants are also calculated using the vibrational frequencies and the results discussed.     

Molecular dynamics of germylacetylene

A complete vibrational analysis has been carried out for germylacetylene and germylacetylene-d₃ molecules and a set of molecular constants, i.e. kinetic constants and potential constants, is reported. The physical understanding of the nature of the potential constants and kinetic constants in molecules leads to a stringent application of provisions of group theoretical technique, introduced by Wilson in the study of molecular vibrations. This procedure is applied here to the evaluation of mean amplitudes of vibration. Coriolis coupling constants and centrifugal distortion constants of these cases, with highly satisfactory results. The values of Coriolis coupling constants and centrifugal distortion constants are in good agreement with the observed values for the germylacetylene molecule showing the significance of the procedure adopted in the present study.     

甲酰氯异构化和光解的理论研究——从头算水平上的反应热力学、动力学分析

由于对化学反应体系解核运动Schrdinger方程困难,化学界常常求解参加反应粒子的电子运动Schrdinger方程,得到其电荷密度分布、自由价和键级等静态物理量,作为反应性指标;这虽有简明的优点,但往往缺乏传递性和统一性。如用电荷密度分布分析亲电反应,仅在同系物中有定性比较其反应性相对大小的意义,无定量价值。此外,用反应的势垒大小判断反应的难易,忽略了鞍点处曲率的影响,就动力学的Arrhenius速度常数公式看,     

Characterization of ester hydrolysis in terms of microscopic rate constants

Hydroxide-catalyzed ester hydrolysis for molecules of coexisting species is quantitated in terms of microscopic rate constants, a new, species-specific physicochemical parameter. Relationships between the overall and component reactions, as well as the macroscopic and microscopic rate constants are deduced. Experimental techniques, evaluation methods, and feasibility are discussed. Species-specific, pH-independent rate constants of four coexisting, differently hydrolyzing microspecies are determined for the first time. Protonation of an alpha-amino and beta-imidazolyl site in amino acid esters has been found to accelerate the hydroxide-catalyzed hydrolysis by factors of 120 and 7.5, respectively, whereas they jointly exert a nearly 3000-fold acceleration. A total of 20 microscopic protonation equilibrium constants, as component parameters in the rate equations, have also been determined. The species-specific rate constants have been found to correlate with the site- and species-specific basicity of the leaving group and the NMR chemical shift of an adjacent proton. Individual contributions of the various microforms to the overall hydrolysis rate are depicted in microscopic reaction fraction diagrams.     

Anharmonic Effect of the Unimolecular Dissociation of HFCO and DFCO

The unimolecular reactions of HFCO and DFCO have been studied by RRKM theory. The harmonic and anharmonic rate constants of the HFCO and DFCO decompositions have been calculated. The harmonic and anharmonic rate constants increase with the increasing temperatures and total energies both in the canonical and microcanonical systems. The comparison shows that the rate constants of DFCO decomposition are lower than that of the HFCO decomposition. The anharmonic effect and isotope effect have also been investigated. It has been found that the anharmonic effect and isotope effect are not significant either in the canonical or microcanonical system for all the reactions.     

Centrifugal distortion and the ring puckering vibration in the microwave spectrum of 2,3-dihydrofuran

The microwave spectrum of 2,3-dihydrofuran has been reinvestigated and measurements for the ground and first five excited states of the ring puckering vibration have been extended to higher frequencies and rotational quantum numbers in order to study the vibrational dependence of the rotational and centrifugal distortion constants. The ring puckering potential function derived by Green from the far infrared spectrum does not reproduce the vibrational dependence of the rotational constants well. A slightly different potential function is derived which gives a reasonable fit both to the far infrared spectrum and the rotational constants. This changes the barrier to ring inversion from 1.00 kJ mol⁻¹ to 1.12 kJ mol⁻¹. The vibrational dependence of the centrifugal distortion constants is accounted for satisfactorily by the theory developed by Creswell and Mills. An attempt to reproduce the vibrational dependence of the rotational and centrifugal distortion constants using the ring puckering potential function and a simple model for this vibration has very limited success.     

Metal chelate exchange in the organic phase-III Extraction and exchange constants of dithizonates and oxinates

Reactions between dithizonates and oxinates of Ag, Tl(I), Cu(II), Zn, Cd, Hg(II), Pb, Co(II), Ni, Pd, In, Ga and Bi in chloroform have been studied spectrophotometrically. From the exchange constants determined, the extraction constants of metal dithizonates or metal oxinates have been calculated. By this method extraction constants of many metal chelates can be calculated which are difficult to determine by studies of distribution between aqueous and chloroform phases.     

Trans-1-chloro-2-fluoroethylene: microwave spectra and anharmonic force field

For the first time the millimeter-wave spectra of the trans-35ClHC=CHF and trans-37ClHC=CHF isotopomers have been observed in natural abundance. Many DeltaJ=0, +/-1 DeltaK(-1)=+1 transitions for 35ClHC=CHF and DeltaJ=0 DeltaK(-1)=+1 transitions for 37ClHC=CHF have been detected and assigned. This allowed us to accurately determine the vibrational ground-state rotational constants, quartic and some sextic centrifugal distortion constants, and nuclear quadrupole coupling constants for both 35Cl and 37Cl. The experimental investigation has been supported by highly accurate theoretical predictions. As far as ab initio computations are concerned, the complete set of cubic and quartic force constants have been evaluated by numerical differentiation of the analytic second-order M?ller-Plesset many-body perturbation theory/correlation consistent polarized valence triple zeta second derivatives. The anharmonic part of the force field completes the theoretical study on the equilibrium structure, dipole moment, chlorine quadrupolar tensor, and harmonic force field previously carried out by the same authors.