The C1 NQR method and, in particular, the E F G asymmetry parameters at C1 nuclei were used for the solution of a number of principal problems of theoretical organic and organometallic chemistry, such as the mechanism of non-induction influence of the heteroatom M on the atom Y in the non-linear Y Z M or Y Z = M group, M C l bond multiplicity in planar molecular fragments and the asymmetry of h...

Vortex ring solutions are presented for the Landau-Lifshitz equation, which models the dynamics of a three-dimensional ferromagnet. The vortex rings propagate at constant speed along their symmetry axis and are characterized by the integer-valued Hopf charge. They are stable to axial perturbations, but it is demonstrated that an easy axis anisotropy results in an instability to perturbations wh...

Building on recent research into five-dimensional holographic models of QCD, we extend this work by including the strange quark with an SU(3)L × SU(3)R gauge symmetry in the five-dimensional theory. In addition we deform the naive AdS metric with a single parameter, thereby breaking the conformal symmetry at low energies. The vector and axial vector sectors are studied in detail and both the ma...

Mixing of the pseudoscalar mesons is discussed in the quark-flavor basis with the hypothesis that the basis decay constants follow the pattern of particle state mixing. The divergences of the axial vector currents which embody the axial vector anomaly, combined with this hypothesis provide a calculational scheme for the parameters describing the mixing of the π, η and η mesons. Phenomenological...

Under a common potential, a finite mixture of ellipsoidal velocity distributions satisfying the Boltzmann collisionless equation provides a set of integrability conditions that may constrain the population kinematics. They are referred to as conditions of consistency and were discussed in a previous paper on mixtures of axisymmetric populations. As a corollary, these conditions are now extended...

This article examines the compositional aspects of symmetry and asymmetry in fresco patterns Dunhuang, China, order to investigate its artistic forms importance. The empirical examination a vast number designs reveals that Dunhuang display variety properties, including axial symmetry, central rotational symmetry. These characteristics have aesthetic consequences on visual perception, making mor...

Restricted motions in proteins (e.g., N-H bond dynamics) are studied effectively with NMR. By analogy with restricted motions in liquid crystals (LC), the local ordering has in the past been primarily represented by potentials comprising the L = 2, |K| = 0, 2 spherical harmonics. However, probes dissolved in LCs experience nonpolar ordering, often referred to as alignment, while protein-anchore...

Shape is a fundamental property of atomic nuclei. The spherical ground-state equilibrium shapes of closed-shell ‘‘magic’’ nuclei give way to deformed, usually prolate shapes in the midshell regions. Although a variety of shapes may be found for excited nuclear states, the propensity for axial symmetry appears to be pervasive. Yet, there is a lack of suitable observables that are able to indicat...

a series of new heteroleptic chelated copper(ii) complexes that encompass n,n-dibezyl substituted derivative of ethylenediamine (x-diamine) and acetylacetonate (acac) were prepared.  the ir and electronic absorption spectra and the molar conductivity of the complexes are presented and discussed.  the molar conductivity values of the complexes in different solvents reveals a predominance of elec...

Group theoretic means are employed to analyse the Hopf bifurcation on pattern forming systems with the periodicity of the face-centred (FCC) and bodycentred (BCC) cubic lattices. We find all C-axial subgroups of the normal form symmetry group by first extending the symmetry to a larger group. There are 15 such solutions for the FCC lattice, of which at least 12 can be stable for appropriate par...