Interpolation of Limited and Weakly Compact Operators on Families of Banach Spaces

In this paper, we study how the limited and weakly compact properties of operators are preserved by interpolation of the real method for infinite families of Banach spaces introduced by Carro in Studia Math. 109 (1994). We apply these results to the case of Sparr, Fernández and Cobos–Peetre methods of interpolation for finite families.     

Effect of short and long range forces on the thermodynamic properties of water. A simple short range reference system

Three realistic potential models of water, the non-polarizable ST2 and TIP4P models, and the polarizable TIP4P/P model, were used in computer simulations to study the effect of the range of intermolecular interactions on the thermodynamic properties of water. Following the results of recent studies, a short range system is constructed to the full pair potential u(1,2) in such a way that a perturbation expansion can be formulated in powers of the dipole-dipole interaction only. Computations of low density properties and computer simulations performed for several densities on three subcritical and one supercritical isotherms show that the short range reference not only reproduces the structure but approximates also the internal energy and pressure of water surprisingly well. Differences in the internal energy between the full and short range water do not exceed 5% for all models used over the entire range of the thermodynamic conditions considered.     

Thermodynamics of binding of Zn2+ to carbonic anhydrase inhibitors

The Becke3LYP functional of DFT theory and the two-layered ONIOM (B3LYP/6–311 + G(d,p): MNDO) method were used to characterize 46 gas-phase complexes of 34 neutral and anionic ligands (H₂O, CH₃OH, CH₃COOH, CH₃CONH₂, HOSO₂NH₂, CO₂, HSO₂NH₂, CH₃SO₂NH₂, CH₃C(= O)NHOH, imidazole, NH₂SO₂NH₂, anions of 4-aminobenzenesulphonamide, saccharin, 1I9L, brinzolamide, dorzolamide, acetazolamide, further HO^(?), CH₃CO^(?), CH₃COO^(?), CH₃CONH^(?), N = N = N^(?), S = C = N^(?), CH₃C(= O)NHO^(?), HOCOO^(?), imidazoleN^(?), phenol-O^(?), HOSO₂NH^(?), ^(?)OSO₂NH^(?), ^(?)OSO₂NH₂, H₂NSO₂NH^(?), HSO₂NH^(?), CH₃SO₂NH^(?), and CF₃SO₂NH^(?), respectively) with Zn²⁺. Proton dissociation enthalpies and Gibbs energies of acidic inhibitors in the presence of zinc were computed. Their gas-phase acidity considerably increases upon chelation. Of the bases investigated, the weakest zinc affinity is exhibited by carbon dioxide (- 313.5 kJ mol^?1). Deprotonated inhibitors have higher affinities for zinc than the neutral ones. Compared to the other mono-deprotonated ligands the acetohydroxamic acid anion has the highest affinity for zinc (- 1872.7 kJ mol^?1). The zinc affinity of the acetazolamide anion computed using the hybrid ONIOM (B3LYP/6-311 + G(d,p): MNDO) method is in very good agreement with the full DFT ones and this method can be adopted to model large complexes of inhibitors with the active site of carbonic anhydrase.     

Combining rule for interaction energies of the (CO)2, (N2)2 and CO-N2 complexes

The relationship between interaction energies of the most stable structures of the (CO)₂, (N₂)₂ and CO-N₂ complexes is investigated using the supermolecule CCSD(T) and MP4 methods and aug-cc-pVXZ (X = D,T,Q) basis sets extended by a set of midbond functions centred in the middle of the intermolecular bond. A simple combining rule for interaction energies of this triad of clusters is proposed.     

Thermodynamics of micellization of C7 and C8 lecithins

The surface tensions of the lecithins diheptanoyl- and dioctanoylphosphatidylcholine in phosphate medium, pH 7.4, have been measured over the temperature range 288.15–313.15K. Critical micelle concentrations, thermodynamic micellization parameters, adsorption parameters, transfer data of micelles to the aqueous surface and surface area minima per molecule were obtained from these measurements. Critical micelle concentrations slightly decrease with temperature. The micellization processes became increasingly exothermic with increase in temperature. The variation of Gibbs energies of transfer indicates that the processes are most favourable at low temperatures. From a study of entropy-enthalpy compensation phenomenon a compensation temperature of 300^?1 K^?1 was found, and from the intercept an analysis of the hydrophobic-hydrophilic balance was carried out.     

A model for viscosity coefficients of gases with potentials differing in form

A recent theory of non-conformal interactions has been very succesful in providing effective spherical potentials for the pressure of more than 40 real gases and many of their binary mixtures. Here, this theory is applied to deal with low-density viscosity coefficients. In its simplest form, the approximate non-conformal (ANC) theory introduces, besides the usual corresponding states parameters-energy ? and distance r_m-a softness parameter s to account for the form of a particular potential function. We investigate the effects of the potential form on the temperature behaviour of the viscosisty coefficient η. It is shown that the softer potentials, with wider attractive wells, have larger viscosities and an explicit expression for η (T, ?, r_m, s) is obtained. The ANC potentials are tested in their capacity to reproduce the temperature dependence of η for the heavier noble gases (Ar, Kr and Xe), diatomics (H₂, N₂, O₂ and CI₂) and a dozen small polyatomics. It is found that the ANC model η (T, ?, r_m, s), with only three substance-dependent parameters, reproduces experimental 7 data within their estimated error.     

Photophysical and light scattering studies on the aggregation behaviour of Triton X-100 in formamide—water mixed solvents

Micelle formation and structure of the non-ionic surfactant p-tert-octyl-phenoxy (9.5) polyethylene ether (Triton X-100) in mixed solvents consisting of water and formamide have been investigated. Changes in the critical micelle concentration of the surfactant upon the addition of formamide were examined by using the pyrene 1:3 ratio method. The observed increase in the critical micelle concentration was attributed to a rise in the solubility of the surfactant as the formamide content increased in the solvent system. Micelle structure parameters were obtained as a function of the co-solvent concentration by using combined static and dynamic light scattering measurements. It was found that the decrease in the micelle size, produced by the addition of formamide, is mainly due to a reduction in the mean aggregation number rather than to changes in the magnitude of the whole solvation of micelles. This fact was also supported by the observed trend in the partial specific volume of the TX-100 micelles, obtained by complementary density measurements. However, the postulated changes in the composition of the solvation layer of micelles were supported by the rise in both the surface area per head group and the cloud point of the surfactant. From the photophysical response of different fluorescent probes incorporated in the micellar phase, we obtained information on the changes in the microstructure of Triton X-100 micelles upon the addition of formamide. The pyrene 1:3 ratio index revealed an increasing micropolarity as the formamide content increases in the solvent system. On the other hand, studies based on both fluorescence polarization of coumarin 6 and intermolecular pyrene excimer formation have shown that the microviscosity of Triton X-100 decreases with the presence of co-solvent. These results were interpreted on the basis of considerable contact of the co-solvent with the inner region of the micelles.     

Direct molecular-level Monte Carlo simulation of Joule—Thomson processes

We present an application of the recently developed constant enthalpy-constant pressure Monte Carlo method [SMITH, W. R., and LÍSAL, M., 2002, Phys. Rev. E, 66, 01114] for the direct simulation of Joule-Thomson expansion processes using a molecular-level system model. For the alternative refrigerant HFC-32 (CH_{2F 2}), we perform direct simulations of the isenthalpic integral Joule-Thomson effect (temperature drop) resulting from Joule-Thomson expansion from an initial pressure to the representative final pressure of 1 bar. We consider representative expansions from single-phase states yielding final states in both single-phase and two-phase regions. We also predict the dependence of T(P, h) and of the Joule-Thomson coefficient, μ (P, h), on pressure along several representative isenthalps, as well as points on the Joule-Thomson inversion curve. HFC-32 is modelled using a five-site potential taken from the literature, with parameters derived from ab initio calculations and vapour-liquid equilibrium data. The simulated results show excellent agreement with those calculated from an international standard equation of state.