Orientational Brownian motion in a viscoelastic medium

A model has been proposed for the complete (2D) orientational Brownian motion of axially symmetric particles in a Kelvin viscoelastic medium. It has been shown that the elastic response of the carrier medium can be correctly determined by introducing an additional variable, the moment elastic forces, which, together with the particle-orientation vector, composes the complete set of phase variables of a system. A set of stochastic equations (Langevin equations) has been derived for these values. This set has been employed to construct, under the effective field approximation, a simple set of moment equations describing the magnetization dynamics of a ferrogel, i.e., a dispersion of single-domain nanoparticles in a gel matrix. The theoretical results qualitatively agree with the data of magnetic microrheology of gelatin-based ferrogels.     

Physical model of thermally induced diffusion and phase-formation processes in layered systems containing three isotopes of two elements

Previously formulated physical principles are used to develop a mathematical model of thermally induced processes of diffusion, phase formation, and stabilization of a spatially inhomogeneous structural-phase state in layered systems containing three isotopes of two elements. The program realization of the model allows quantitative characterization of the kinetics of these processes under arbitrary conditions of thermal annealing. The results of theoretical calculations and the experimental data obtained by Mössbauer spectroscopy and X-ray diffractometry of the layered structure consisting of ⁵⁷Fe (0.07 μm)-Ti (1 μm)-Fe_0.96Ti_0.04 (13 μm)-⁵⁷Fe(0.07 μm) are found to be in good agreement.     

Luminescence of metals excited by fast nondestructive loading

The paper reports a study of the luminescence excited on the back side of metal targets irradiated with laser pulses of energy substantially below the plasma-flare formation threshold, and calculation of the temporal and spatial distributions of temperature, thermal stresses, and rate of thermal-stress variation in a sample. The evolution of the luminescence pulse is compared with that of the laser pulse, sample temperature, thermal stresses, and rate of thermal-stress variation. It has been established that the luminescence is excited as soon as the stresses at the sample surface become approximately equal to the yield point of the sample material, its intensity grows as long as the rate of stress rise increases, after which the process decays. The temporal and spatial distributions of temperature, thermal stresses, and rate of thermal-stress variation have also been calculated for the experiments, in which anomalous electron emission from the back side of laser-pulse irradiated metal targets was detected, and which were described in the literature but not appropriately explained. The dynamics of experimental and calculated relations have been compared. A correlation closely similar to that found for mechanoluminescence has been established. Fiz. Tverd. Tela (St. Petersburg) 40, 957–965 (June 1998)     

Mössbauer study of 119Sn hyperfine interactions in the KTi1−x SnxOPO4 system

The first Mössbauer study of hyperfine interactions of ¹¹⁹Sn nuclei in the complex ferroelectric oxides KTi_1?x Sn_xOPO₄ is reported. A one-to-one correspondence between the hyperfine interaction parameters and tin atom arrangement in cis and trans positions of the structure has been established. The electric-field gradient at ¹¹⁹Sn nuclei is shown to be dominated by the contribution of valence electrons in the hybridized p and d orbitals. A linear correlation between the quadrupole displacement of the spectrum components and the average Sn-O distances has been revealed. The Mössbauer line shift data were used to estimate the number of valence s electrons of Sn⁴⁺ ions occupying the cis and trans positions throughout the x range covered.     

State of iron atoms in SiO2·xFe2O3 gels

Mössbauer studies are made of ⁵⁷Fe nuclei in dry SiO₂·xFe₂O₃ gels at low temperatures in external magnetic fields. It is shown that the state of the iron atoms in the gels depends significantly on their concentration. In dry gels with an iron content exceeding 0.01Fe₂O₃, the Fe atoms belong to finely dispersed particles of the oxide with maximum sizes of ～80 Å in a superparamagnetic state. For lower iron contents, the Fe atoms are in the form of a highly diluted paramagnetic impurity of trivalent ions in a diamagnetic matrix. It is assumed that clusters develop from a small number of iron and oxygen ions dispersed in the gel matrix. Here spin-lattice relaxation of the magnetic moments of the iron atoms is observed.     

On weak convergence of functionals of stochastic processes with continuously differentiable paths

We obtain a criterion for weak convergence of a sequence of stochastic processes _n(t), t [0, 1],n N, _n(t) R ^m in the spaceC _m ^k [0, 1] of continuously differentiable functions. We consider several examples of weakly convergent sequences of stochastic processes inC _m ^k [0, 1] and several integer functionals defined on these random variables.Translated fromTeoriya Sluchainykh Protsessov, Vol. 15, pp. 85–90, 1987.     

Structural transformations in La1 − x Ba x Mn0.98 57Fe0.02O3 + δ (x = 0.05−0.20)

Physics of the Solid State - A systematic investigation of the structural transformations in La1 ? x Ba x Mn0.98 57Fe0.02O3 + δ (x = 0.05?0.20) at different Ba concentrations and...     

Quantum-chemical calculations of NMR chemical shifts of organic molecules: XV. Relativistic calculations of <Superscript>29</Superscript>Si NMR chemical shifts of silanes

Calculations of ²⁹Si NMR chemical shifts of 68 silanes possessing various substituents, in particular, with heavy halogens attached to silicon atom, were carried out applying an efficient calculation scheme of locally dense basis set in the framework of the electron density functional theory utilizing the Keal–Tozer functional combined with relativistic Dyall basis sets on a four-component relativistic level. The main factors of calculation accuracy of silicon chemical shifts were analyzed including the relativistic effects, environmental impact, and vibrational corrections. The mean absolute calculation error for the studied compounds series accounting for all mentioned factors was 14.0 ppm for the nonrelativistic calculation and 6.7 ppm for the four-component relativistic calculation at the range of silicon chemical shifts variation of ~250 ppm.     

119Sn and 57Fe M?ssbauer study of the local structure of perovskite-type ferrites CaFe2 ? x N x O5 ( N = Sc, Al) and manganite CaMn7O12

Anion-deficient substituted ferrites Ca₂Fe_{2 − x} N _x O₅ (N = Sc³⁺, Al³⁺) and mixed manganite CaMn₇O₁₂ have been investigated by ¹¹⁹Sn and ⁵⁷Fe probe M?ssbauer spectroscopy. The mechanism of charge compensation for heterovalent impurity Sn⁴⁺ ions in the structure of the ferrite Ca₂Fe₂O₅ has been established. The presence of nonequivalent crystallographic positions of manganese cations, caused by their charge ordering in the structure of the manganite CaMn₇O₁₂, is shown. Magnetic ordering of Mn³⁺ and Mn⁴⁺ cations in the octahedral sublattice of CaMn₇O₁₂ at T < T _M2 ≈ 90 K is established. Original Russian Text ? A.V. Sobolev, I.A. Presnyakov, K.V. Pokholok, V.S. Rusakov, T.V. Gubaidulina, A.V. Baranov, G. Demazeau, 2007, published in Izvestiya Rossiiskoi Akademii Nauk Seriya Fizicheskaya, 2007, Vol. 71, No. 9, pp. 1347–1354.     

Mössbauer and Magnetic Study of Lanthanum Manganite La1 – xCaxMn0.98Fe0.02O3 + δ (x = 0.05, 0.10, 0.20): Nonstoichiometric and Stoichiometric Composition

Crystallography Reports - Mössbauer and magnetic study of calcium-doped lanthanum manganites La1&nbsp;–&nbsp;xCaxMn0.98Fe0.02O3&nbsp;+&nbsp;δ (x = 0.05, 0.10, 0.20)...