Zobrazeno 1 - 10
of 23
pro vyhledávání: '"O. V. Kukin"'
Publikováno v:
Bulletin of the Russian Academy of Sciences: Physics. 80:707-713
The total potential energy of a crystal is presented as an expansion by irreducible interactions in clusters containing pairs of atomic triplets and quadruplets. The potential energy of the clusters in the adiabatic approximation is a function of vec
Symmetry Of Irreducible Cluster Energy And The Theory Of Elastic Constant Crystals: Co as an Example
Publikováno v:
Proceedings of the International Symposium “Engineering and Earth Sciences: Applied and Fundamental Research” (ISEES 2018).
Publikováno v:
Bulletin of the Russian Academy of Sciences: Physics. 78:311-316
Elastic moduli of Co with A1-type structure are calculated using models in which the total energy is presented in the form of the energy of clusters consisting of pairs, triplets, and quadruplets of identical atoms. The irreducible energies of the cl
Publikováno v:
Physics of the Solid State. 55:2405-2412
The total potential energy of a crystal U({rik}) as a function of the vectors rik connecting centers of equilibrium positions of the ith and kth atoms is assumed to be represented as a sum of irreducible interaction energies in clusters containing pa
Publikováno v:
Bulletin of the Russian Academy of Sciences: Physics. 77:913-919
The complete potential energy of a crystal \(E\left( {\vec r_{ik} } \right)\) is presented in the form of an expansion in irreducible interactions in clusters containing pairs, triplets, and quadruplets of atoms, situated on A2 lattice sites. The ful
Publikováno v:
Physics of the Solid State. 54:820-833
A method of accounting for the symmetry of interaction energy of N identical atoms in terms of the theory of elastic constants has been proposed. The energy symmetry group of the cluster is G N = O(3) ⊗ P N . It has been shown that the calculation
Publikováno v:
Bulletin of the Russian Academy of Sciences: Physics. 76:345-350
A relation for semiempirical and symmetrically conditioned relations between the potential energy of interaction for atomic triplets and radius vectors that connect atomic equilibrium positions in a crystal is revealed.
Publikováno v:
Bulletin of the Russian Academy of Sciences: Physics. 76:328-338
The third-order elastic modulus of α-Fe were calculated based on the computation of lattice sums. The lattice sums were determined using an integer rational basis of invariants composed by vectors connecting equilibrium atomic positions in the cryst
Publikováno v:
Bulletin of the Russian Academy of Sciences: Physics. 75:1267-1273
We propose a new method for calculating the potential of multiparticle interaction. Our method considers the energy symmetry for clusters that contain N identical particles with respect to permutation of the number of atoms and free rotation in three
Publikováno v:
Bulletin of the Russian Academy of Sciences: Physics. 75:661-665
It is widely known that the interaction of triplets of particles (which are not reducible to the sum of pair interactions) play an important role in formation the nonlinear and anisotropic properties of crystals. The aim of this work is to establish