On a spherical code in the space of spherical harmonics

We propose a new method for the construction of new “nice” configurations of vectors on the unit sphere S d with the use of spaces of spherical harmonics.Запропоновано повий метод для побудови нових „гарних" конфігурацій векторів на одиничній сфері Sd з використанням просторів сферичних гармонік

The Estimation of Stability and Growth of F.C.C. Iron Nanocluster Containing the Impurity Atoms

The energy of the isolated iron nanocluster is calculated by molecular mechanics method using Lennard-Jones potential depending on the position of impurities, i.e., interstitial carbon atom and substitutional nickel atom.Методом молекулярной механики с использованием потенциала Леннард-Джонса рассчитана энергия изолированного нанокластера железа в зависимости от положения внедрённого атома углерода и замещённого атома никеля.Методою молекулярної механіки з використанням потенціялу Леннард-Джонса розраховано енергію ізольованого нанокластера заліза в залежності від положення атома Карбону як атома втілення та атома Ніклю як атома заміщення

Mesh ratios for best-packing and limits of minimal energy configurations

For N-point best-packing configurations ωN on a compact metric space (A,ρ), we obtain estimates for the mesh-separation ratio γ(ρN,A), which is the quotient of the covering radius of ωN relative to A and the minimum pairwise distance between points in ωN . For best-packing configurations ωN that arise as limits of minimal Riesz s-energy configurations as s→∞, we prove that γ(ωN,A)≤1 and this bound can be attained even for the sphere. In the particular case when N=5 on S1 with ρ the Euclidean metric, we prove our main result that among the infinitely many 5-point best-packing configurations there is a unique configuration, namely a square-base pyramid ω∗5, that is the limit (as s→∞) of 5-point s-energy minimizing configurations. Moreover, γ(ω∗5,S2)=1

ФОРМУВАННЯ НАВИЧОК ХОРОВОГО ДИРИГУВАННЯ В ПРОФЕСІЙНІЙ ПІДГОТОВЦІ МАЙБУТНЬОГО ВЧИТЕЛЯ МУЗИКИ У ВИЩИХ НАВЧАЛЬНИХ ЗАКЛАДАХ

In article the problem of formation of skills of choral conducting in vocational training the future teacher of music is examined

Feasibility Study of Short Pulse Mode Operatation for Multi Turn ERL Light Source

The optic and simulation group at HZB are designing a light source based on the emerging Energy Recovery Linac superconducting technology, the Femto Science Factory FSF will provide its users with ultra bright photons of angstrom wavelength at 6 GeV. The FSF is intended to be a multi user facility and offer a wide variety of operation modes. A low emittance 0.1 mrad mode will operate in conjunction with a short pulse 10 fs mod

Feasibility Study of Multi Turn ERL Based Synchrotron Light Facility

Energy Recovery Linacs ERL have been discussed as drivers for synchrotron radiation facilities in X ray region for over a decade. The first proposal for a multi turn ERL as a next generation synchrotron light facility was in 1997. Since then great advances in ERL technology and high brightness electron source development were achieved, ERL based high power free electron infrared laser at JLab and the demonstration of multi turn energy recovery at BINP. The feasibility of an X ray ERL based light source seems more and more realistic. An overview of the design of a multi turn ERL under development at Helmholtz Zentrum Berlin FSF Femto Science Factory is given in this pape

Analysis of Injection and Recovery Schemes for a Multi Turn ERL Based Light Source

A multi turn energy recovery linac based light source is under discussion. Using the superconducting Linac technology, the Femto Science Factory FSF will provide its users with ultra bright photon beams of angstrom wavelength. The FSF is intended to be a multi user facility and offer a variety of operation modes. The driver of the facility is a 6 GeV multiturn energy recovery linac with a split linac. In this talk we discuss designs of the optic in the linac and compare different schemes of beam acceleration a direct injection scheme with acceleration in a 6 GeV linac, a two stage injection with acceleration in a 6 GeV linac, and a multi turn 3 turn scheme with a two stage injection and two main 1 GeV linacs. Construction costs and beam break up instability were the key points for compariso

Multi turn ERL based light source Analysis of insection an recovery schemes.

The optics simulation group at HZB is designing a multi turn energy recovery linac based light source. Using the superconducting Linac technology, the Femto Science Factory FSF [1] will provide its users with ultra bright photon beams of angstrom wavelength. The FSF is intended to be a multi user facility and offer a variety of operation modes. The driver of the facility is a 6 GeV multiturn energy recovery linac with split linacs. In this paper we compare different schemes of beam acceleration a direct injection scheme with acceleration in a 6 GeV linac, a two stage injection with acceleration in a 6 GeV linac, and a multi turn 3 turn scheme with a two stage injection with two main 1 GeV linacs as proposed for FSF. The key characteristic of comparison is the beam breakup BBU instability threshold curren

Feasibility study of an ERL based GEV Scale multi turn ligth source

A new generation of particle accelerators based on an Energy Recovery Linac ERL is a promising tool for a number of new applications. These include high brilliance light sources in a wide range of photon energies, electron cooling of ion beam and ERL based electron hadron colliders. Helmholtz Zentrum Berlin started a feasibility study of GeV scale multi turn ERL based light source LS . This LS will work in diffraction limited regime in X rays and with a short length of a light pulse in femtosecond region. The average and peak brightness will be at least an order of magnitude higher than synchrotronbased LS. In this work an overview of the future multiturn light source is given. Estimations of the Beam Break Up instability are presente

Development of NSC KIPT nuclear microprobe

Development of the microanalysis methods is stimulated by investigations of actual materials. Their properties depend not only on an atomic structure, but also on imperfections of this structure, phase composition, areas of impurity accumulation, various kinds of microinclusions etc. Characteristic sizes of these objects are usually ranged from a few parts of micron to several tens of micron. So, there is need for methods which provide the analysis of chemical elements in samples with the corresponding level of spatial resolution