Asymptotics of collision integral matrix elements in the isotropic case

The method of nonlinear moments, when used to solve the Boltzmann equation, necessitates the calculation of collision integral matrix elements. The matrix elements are hard to calculate numerically, especially at large indices. The asymptotics of the matrix elements are constructed. In terms of the model of pseudopower particle interaction, a formula free of summation is derived. This makes it possible to find the asymptotic behavior of linear and nonlinear elements when two indices are large. For an arbitrary interaction cross section, asymptotic expansions of linear and nonlinear matrix elements in one index are obtained. For Maxwellian molecules, asymptotic formulas are derived for three large indices.     

Absorption of electromagnetic radiation by an inhomogeneous spherical particle

The cross section of absorption of electromagnetic radiation by an inhomogeneous spherical particle is calculated. The general case of an arbitrary value of the ratio of the particle radius to the radius of the dielectric core is considered. The condition of diffuse reflection of electrons from the inner and outer surfaces of the metal layer of the particle is taken as the boundary condition of the problem. The limiting cases are considered and the results obtained are discussed.     

Investigation of Tropane Alkaloids in Genetically Transformed <Emphasis Type="Italic">Atropa belladonna</Emphasis> L. Cultures

The purpose of the present study was to determine the tropane alkaloid content of genetically transformed hairy root cultures of Atropa belladonna L. Determination of alkaloids was performed by HPLC method. Samples were extracted with chloroform – methanol - cc. ammonia 15:5:1 (v/v/v). Crude extracts were purified on Extrelut columns. HPLC separation was performed on Luna C8 reversed phase column. An isocratic mixture of acetonitrile – 30 mM phosphate buffer - methanol 12.2:79.7:8.1(v/v/v) was used as eluent. Peaks were identified by addition of standards and diode-array detection. Hyoscyamine, scopolamine and apoatropine were determined by external standard method at 210 nm. We measured the alkaloid content of genetically transformed in vitro cultures (hairy roots and reorganised plants) cultivated on Gamborg B5 basic media. The highest hyoscyamine and scopolamine content was found in hairy root clone #K₅ (0,223 m/m%) and in hairy root clone #K₄ (0,018 m/m%) respectively. Alkaloid contents were higher in the hairy roots than in the reorganised plants.     

Decay of metastable states in Nd II

The difficulty associated with an accurate determination of transition rates for forbidden lines in lowly ionized heavy elements is illustrated in the case of Nd II. We have investigated the radiative decay of the low-lying metastable levels in Nd⁺ including the two levels K_11/2 and I_13/2. In these two particular cases, using different theoretical approaches, we find that the decay is dominated by the M1 channels but that the E2 contributions are of the same order of magnitude. These levels have also been studied experimentally by lifetime measurements with the heavy ion storage ring CRYRING of Stockholm University. The difficulties encountered when performing such experiments are underlined and discussed.     

Doppler three-level (V-scheme) laser without population inversion

The theory of amplification and lasing without population inversion in a three-level medium with inhomogeneous broadening via the formation of an open V configuration is elaborated. The conditions for energy transfer from the infrared into the visible spectral range, i.e., the conditions of up-conversion n _b >n _c >n _a , and the external field required for saturation of the b?a transition are established. Two-photon resonant Raman transitions in ensemble of mobile atoms of a gas-discharge plasma are analyzed. The frequency shift of the probe field spectrum as a whole is shown to be governed by the frequency shift of the pump field multiplied by the ratio of the wave numbers of the probe amplification field and the pump field. The interaction of atoms through Ne transitions with the pump field (λ=1.15 εm, 2p ₄-2s ₂ transition) and the lasing field (λ=0.6328 εm, 3s ₂-2p ₂ transition) with an increase in the lasing frequency by a factor of 1.82 with respect to the absorbed radiation is calculated.     

Pressure-induced tricritical point and critical behavior near the points of phase-diagram wings in a CoS<Subscript>2</Subscript> ferromagnet

A pressure-induced change in the order of magnetic phase transition observed for CoS₂ in [1] is explained using the exchange-striction ferromagnet model allowing for the first-and second-order magnetoelastic interactions. It is shown that this model offers a satisfactory quantitative explanation of the majority of experimental facts observed in CoS₂. The magnetic phase diagram of CoS₂ is calculated in the vicinity of a tricritical point in the temperature (T), pressure (P), and magnetic-field (H) variables. The critical behavior of the thermodynamic quantities near the tricritical points of phase-diagram wings is discussed.     

Effect of squeezed vibrational states on the optical properties of molecular systems in a field of laser radiation

Specific features of optical and nonradiative transitions in molecular systems in the field of an intense electromagnetic wave are studied with account of squeezed vibrational states. It is shown that a field of laser radiation considerably enhances the tunneling processes in electronic vibrational systems and makes it possible to obtain the generation of higher harmonics. Conditions are found under which squeezed vibrational states can lead to some stabilization of excited electronic states with respect to the processes of luminescence.