Energy of local uniaxial distortions in the crystal lattices of 5d metals

A simple model is proposed for estimation of the internal-energy change that takes place in paramagnetic transition metals in real and virtual high-symmetry crystalline modifications under uniaxial distortions of the lattice. This change is analyzed as a function of electron concentration against the background of energy competition between the phases considered. V. D. Kuznetsov Siberian Physicotechnical Institute, Tomsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 50–53, June, 1998.     

Dispersion dynamics of crystal lattices

A new formalism is presented, which has not the difficulties of the conventionalGreen's function methods for disturbed lattice dynamics. The new method introduces aGreen's function and an eigenvector-function, which are defined in the wholeω-plane. A simple device allows to extract the conventional eigenvectors and eigenfrequencies from the eigenvector-function. AGreen's function formalism and a random-phase assumption make it possible to calculate the disturbed eigenvector-function from the undisturbed one in such a way that both are normalized to the respective density of frequencies. The formalism thus is well-fit to describe changes of the density of frequencies, shifts of the bands and discrete (localized) solutions outside the bands. Applicability to the elastic continuum and quantum mechanics seem also possible.     

Momentum transfer in crystal lattices with vibrating atoms

A momentum transfer equation previously used to describe non-elastic deformation in crystalline solids represented by point masses at fixed lattice positions is extended to take into account the existence of intrinsic (e.g. thermal) small amplitude vibrations of the masses about their mean positions in a lattice. Use of the time-dependent Schroedinger equation to describe momentum transfer and deformation is also discussed in terms of this vibrating point-mass lattice model. The result is that a modified and identical differential equation for momentum transfer is obtained from each approach; some solutions to this equation are presented. The previous particle momentum wave frequency dependence on wave vector and resulting applications to non-elastic deformation are unchanged, but these particle momentum waves can now be considered as modulating the usual high-frequency waves associated with the elastic modes of a crystalline solid.     

Dislocation structure and deformation hardening of bcc metals

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 23–34, March, 1991.     

Dislocation structures and strengthening of ion-implanted metals and alloys

This article surveys the empirical data on the long-range effect (changes in defect structure and physicomechanical properties at distances considerably exceeding the mean free path of ions) seen in the ion implantation of metallic materials and semiconductors. Results are presented from electron-microscope studies of dislocation structures formed in ion-implanted metallic materials which are initially in different states. It is shown that the character of the dislocation structure and its quantitative characteristics in ion-implanted metals and alloys depend on the initial state of the target, the species and energy of the ions, and the radiation dose. Data obtained on the change in microstructure with depth is combined with data from other authors and correlated with the results of a study of macroscopic characteristics (wear resistance, microhardness). It is established that the long-range effect is seen in metallic materials which, in addition to having a low yield point or a high degree of plastic strain, also have a low dislocation density prior to ion implantation. Mechanisms by which the defect structure might be modified by ion implantation are explored.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 92–108, May, 1994.     

Cold atoms and molecules in self-assembled dipolar lattices

We study the realization of lattice models, where cold atoms and molecules move as extra particles in a dipolar crystal of trapped polar molecules. The crystal is a self-assembled floating mesoscopic lattice structure with quantum dynamics given by phonons. We show that within an experimentally accessible parameter regime extended Hubbard models with tunable long-range phonon-mediated interactions describe the effective dynamics of dressed particles.     

Measure of the closeness of crystal lattices

A numerical measure of the difference between crystal lattices is determined. The fruitfulness of the definition is demonstrated for a specific example concerning the prominence of an orientational correspondence between the body-centered crystal lattice [bcc(bct)] of α-martensite and the face-centered crystal lattice (fcc) of γ-austenite in cases where the latter is perfect and where it differs from a perfect lattice near a screw dislocation. Zh. Tekh. Fiz. 69, 60–64 (May 1999)     

Thermal expansion of crystal lattices of germanium with different isotopic compositions

The linear thermal expansion coefficient of crystal lattices of germanium with different isotopic compositions is analyzed. Fiz. Tverd. Tela (St. Petersburg) 40, 1829–1831 (October 1998)     

Dislocation structure and microhardness of L-arginine perchlorate single crystal

This paper presents the chemical etching and microhardness studies carried out on L-arginine perchlorate (LAPCl), a non-linear optical crystal (NLO) with a view to characterize the dislocation structure and mechanical strength of the grown crystals. LAPCl crystals employed in this investigation were grown from aqueous solution by solvent evaporation method. Optical microscopic studies of as grown habit faces revealed formation of macrosteps and valley on (100) habit face. Chemical etching of (100) face with impurity added organic solvents played an important role in the formation of etch pits. Selective etching of matched pairs on opposite faces of the same plane confirms that the pits are formed at the dislocation sites. Microhardness measurement by indentation method shows decrease of microhardness with increasing load. Nature of hardness profile is explained with the help of Meyer’s law. The work hardening index value indicates that LAPCl belongs to hard crystal category.     

The long-range correlations of various Ising lattices

The object of this paper is to determine the long-range order parameter for any Ising lattice whose partition function can be evaluated by existing methods. The partition function of a general class of two-dimensional lattices is evaluated by a technique found byGreek andHurst, and this technique is extended to determine correlation coefficients. In this way the determination of the long-range correlation coefficients is reduced to an eigenvalue problem, which can be solved by algebraic methods. A simple formula is found for the long-range order parameter, which contains, but is considerably more general than the known result for the rectangular lattice.     

Electric field in two-dimensional complex plasma crystal:Simulated lattices

We focus on molecular dynamics simulated two-dimensional complex plasma crystals. We use rigid walls as a confinement force and produce square and rectangular crystals. We report various types of two-row crystals. The narrow and long crystals are likely to be used as wigglers; therefore, we simulate such crystals. Also, we analyze the electric fields of simulated crystals. A bit change in lattice parameters can change the internal structures of crystals and their electric fields notably. These parameters are the number of grains, grains charge, length, and width of the crystal. With the help of electric fields, we show the details of crystal structures.     

Dislocation and stacking fault core fields in fcc metals

Atomistic models were used to determine the properties of dislocation core fields and stacking fault fields in Al and Cu using embedded atom method (EAM) potentials. Long-range, linear elastic displacement fields due to nonlinear behaviour within dislocation cores, the core field, for relevant combinations of Shockley partial dislocations for edge, screw, and mixed (60° and 30°) geometries were obtained. Displacement fields of stacking faults were obtained separately and used to partition the core field of dissociated dislocations into core fields of partial dislocations and a stacking fault expansion field. Core field stresses were derived from which the total force, including the Volterra field plus core field, between dislocations for several dislocation configurations was determined. The Volterra field dominates when the distance between dislocations exceeds about 50b but forces due to core fields are important for smaller separation distances and were found to affect the equilibrium angle of edge dislocation dipoles and to contribute to the force between otherwise non-interacting edge and screw dislocations. Interactions among the components of a dissociated dislocation modify the equilibrium separation for Shockley partials suggesting that methods that determine stacking fault energies using measurements of separation distances should include core fields.     

Chaotic phenomena of charged particles in crystal lattices

In this article, we have applied the methods of chaos theory to channeling phenomena of positive charged particles in crystal lattices. In particular, we studied the transition between two ordered types of motion; i.e., motion parallel to a crystal axis (axial channeling) and to a crystal plane (planar channeling), respectively. The transition between these two regimes turns out to occur through an angular range in which the particle motion is highly disordered and the region of phase space spanned by the particle is much larger than the one swept in the two ordered motions. We have evaluated the maximum Lyapunov exponent with the method put forward by Rosenstein et al. [Physica D 65, 117 (1993)] and by Kantz [Phys. Lett. A 185, 77 (1994)]. Moreover, we estimated the correlation dimension by using the Grassberger-Procaccia method. We found that at the transition the system exhibits a very complex behavior showing an exponential divergence of the trajectories corresponding to a positive Lyapunov exponent and a noninteger value of the correlation dimension. These results turn out to be linked to a physical interpretation. The Lyapunov exponents are in agreement with the model by Akhiezer et al. [Phys. Rep. 203, 289 (1991)], based on the equivalence between the ion motion along the crystal plane described as a "string of strings" and the "kicked" rotator. The nonintegral value of the correlation dimension can be explained by the nonconservation of transverse energy at the transition.     

Tensor equations of state for simple crystal lattices with central bond forces

Expressions are derived for the tensor equations describing the state and elastic moduli of simple lattices in the self-consistent-field (SCF) approximation. The general relationships are applied to the case of central bond forces.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 111–116, October, 1977.