Pseudo-spin as a relativistic symmetry

The existence of broken pseudo-spin symmetry in the Pb nucleus has been studied in the relativistic mean field approach using realistic Lagrangian parameters. Its relationship to spin orbit splitting and the vanishingly small surface delta character of the mean spin orbit potential are investigated. In the ²⁰⁸Pb nucleus the broken pseudo-spin doublets are found to exist above the neutron (proton) Fermi surfaces. Received: 16 April 1998 / Revised version: 26 June 1998     

Effect of the susceptibility on the magnetic phase diagrams of a ferrimagnet with magnetic instability

The magnetic phase diagrams of a two-sublattice ferrimagnet with a magnetically unstable subsystem are calculated taking account of the susceptibility. Analytic expressions are obtained for the phase-transition fields and critical values of the parameters of the ferrimagnet. The evolution of the magnetic phase diagrams as the susceptibility of the unstable sublattice increases is analyzed.     

Critical current of an inhomogeneous Josephson junction at an intergrain boundary with a random distribution of dislocations

The critical current J _c(θ) of an intergrain boundary is calculated as a function of the contact misorientation angle θ of the granules. It is assumed that the ordering parameter is suppressed in regions near boundaries with an enhanced mechanical stress induced by randomly distributed surface dislocations. The stress distribution function is determined using a probabilistic approach. Assuming that the weak coupling at the boundary is Josephson coupling, an analytic expression is found for the angular dependence J _c(θ) (for tilt and twist boundaries). The magnitude of the residual critical current of a boundary in a strong magnetic field is estimated. Fiz. Tverd. Tela (St. Petersburg) 40, 393–402 (March 1998)     

Effect of initial phosphate concentration on cell growth and ginsenoside saponin production by suspended cultures of panax notoginseng

Effects of initial phosphate concentration on the growth, ginsenoside saponin production, and the consumption of sugar and nitrogen sources by suspended cells ofPanax notoginseng (Burk) F. H. Chen were investigated in a 250-mL shake flask. The results indicate that by increasing the initial phosphate concentration in the medium in the range of 0–1.25 mM, both the cell growth and the saponin accumulation were greatly improved, and the utilization of sugar and nitrogen sources was also increased. The highest production, productivity, and yield of ginsenosides obtained were 0.98 g/L, 45.5 mg/L/d, and 0.030 g/g at 1.25 mM of initial medium phosphate. At a relatively higher level of medium phosphate, i.e., 2.0 mM, the product accumulation was inhibited to some degree, although the cell growth was not.     

Thermal decomposition of transition metal carboxylates

Dynamics of changes in microstresses during thermal decomposition of Cu(HCOO)₂ crystals and their effect on the thermal decomposition kinetics were studied by IR spectroscopy at 105 to 120 °C. The formation of solid intermediate HCOOCu was observed, and the dynamics of its accumulation was followed. Kinetic regularities of transformation of HCOO groups were compared with those for gas evolution.For Communication 1, see Ref. 1.Translated from Izvestiya va Akademii Nauk. Seriya Khimicheskaya, No. 2, pp. 350–354, February, 1996.     

Ab initio calculations of accurate dissociation energy and analytic potential energy function for the second excited state B1∏ of 7LiH

The reasonable dissociation limit of the second excited singlet state B¹∏ of ⁷LiH molecule is obtained. The accurate dissociation energy and equilibrium geometry of the B¹\Pi state are calculated using a symmetry-adapted-cluster configuration--interaction method in full active space. The whole potential energy curve for the B¹∏ state is obtained over the internuclear distance ranging from about 0.10nm to 0.54nm, and has a least-square fit to the analytic Murrell--Sorbie function form. The vertical excitation energy is calculated from the ground state to the B¹∏ state and compared with previous theoretical results. The equilibrium internuclear distance obtained by geometry optimization is found to be quite different from that obtained by single-point energy scanning under the same calculation condition. Based on the analytic potential energy function, the harmonic frequency value of the B¹∏ state is estimated. A comparison of the theoretical calculations of dissociation energies, equilibrium interatomic distances and the analytic potential energy function with those obtained by previous theoretical results clearly shows that the present work is more comprehensive and in better agreement with experiments than previous theories, thus it is an improvement on previous theories.     

Motion of a helium atom through a comparable-diameter channel in the Frenkel-Kontorova model

The motion of a helium atom through a channel with a diameter comparable to the diameter of this atom is investigated. Such channels are observed in materials of the quartz type. The inclusion of the local law of momentum conservation in the analysis of the interaction between the He atom and the atoms forming the channel wall makes it possible to reduce the problem to one-dimensional motion similar to the motion of a dislocation in the Frenkel-Kontorova model. In the model proposed here, the activation energy of the complex formed by the He atom and the displacements of atoms of the channel wall is calculated. The obtained energy is expressed in terms of the shear modulus of the material forming the channel and the helium atom polarizability, which depends on the state of the helium atom.