We study local and global well-posedness of the initial value problem for the Schrödinger-Debye equation in the periodic case. More precisely, we prove local well-posedness for the periodic Schrödinger-Debye equation with subcritical nonlinearity in arbitrary dimensions. Moreover, we derive a new a priori estimate for the H norm of solutions of the periodic Schrödinger-Debye equation. A novel p...

in this research complexation of dioxovanadium(v) with nitrilotriacetic acid (nta) at differentionic strengths (0.1 to 1.0 mol dm-3) of sodium perchlorate as supporting electrolyte and ph rangeof 1.00-2.50 at 25 °c has been investigated by a combination of potentiometric and uvspectrophotometric measurements. stability constants of two species, v0211l- and vo2h2l havebeen calculated. ionic stre...

This is the first of a series of five papers in which the thermodynamic properties of minerals are interpreted in terms of lattice vibrational spectra. In this paper, measured heat capacities for minerals are examined in terms of the Debye theory of lattice vibrations, and it is demonstrated that heat capacities of silicates show large deviations from the behavior expected from Debye theory. Th...

using solvent evaporating and atomic emission spectrophotometric methods, the solubility of li2co3 in waterat 25°c was determined. comparing the value of thermodynamic solubility product constant, ksp(th),(ksp(tn) = exp(—ag.ss/rt)) of the mentioned salt to the value which is obtained from the observed solubility,shnoll-1 , and activity coefficients, f+ and f, which are estimated upon the extend...

In quantum electrodynamics, static electric fields are screened at non-zero temperatures by charges in the plasma. The inverse screening length, or Debye mass, may be analyzed in perturbation theory and is of order eT at relativistic temperatures. An analogous situation occurs when non-Abelian gauge theories are studied perturbatively, but the perturbative analysis breaks down when corrections ...

We have investigated the electronic structure and thermodynamic properties of supercell of the -Al2O3 by first-principles calculation in framework of density functional theory (DFT) and full potential linearized augmented plane wave (FP-LAPW) with generalized gradient approximation (GGA) and by quasi-harmonic Debye model. Our calculated value for direct band gap of α-Al2O3 is 7.2 eV which i...

Using Solvent Evaporating and Atomic Emission Spectrophotometric methods, the solubility of Li2CO3 in waterat 25°C was determined. Comparing the value of thermodynamic solubility product constant, Ksp(th),(Ksp(tn) = exp(—AG.ss/RT)) of the mentioned salt to the value which is obtained from the observed solubility,shnolL-1 , and activity coefficients, f+ and f, which are estimated upon the extend...

Using Solvent Evaporating and Atomic Emission Spectrophotometric methods, the solubility of Ba (NO3 )2 inwater at 25.0 ° C was determined. Activity coefficients, f+ and f_ of Bat) and N0i(aq) ions in the saturatedsolution at 25.0 ° C were estimated upon the extended Debye —Hiickel theory and then, the constantK'sp =[Ba2+1f+ [NO-3 ]2 f 2 was evaluated. Comparing the value of thermodynamic solubi...

The explanation of the dielectric dynamics in methanol would offer knowledge of the Debye relaxation in supercooled monoalcohols. However, due to the fast crystallization, it is hard to attain the dynamics of pure methanol in the deeply supercooled region. In this paper, we studied the dynamics of methanol – 2-ethyl-1-hexanol mixtures with methanol concentration up to 80 mol% using dielectric a...