Rapidly rotating fermions in an anisotropic trap

We consider a cold gas of non-interacting fermions in a two-dimensional harmonic trap with two different trapping frequencies w_x\omega_x ≤ w_y\omega_y, and discuss the effect of rotation on the density profile. Depending on the rotation frequency Ω, and the trap anisotropy w_y\omega_y/w_x\omega_x, the density profile assumes two qualitatively different shapes. For small anisotropy, the density consists of elliptical plateaus of constant density, corresponding to Landau levels and is well described by a two-dimensional local density approximation. For large anisotropy, the density profile is Gaussian in the strong confining direction and semicircular with prominent Friedel oscillations in the weak direction. In this regime, a one-dimensional local density approximation is well suited to describe the system. The crossover between the two regimes is smooth where the step structure between the Landau level edges turn into Friedel oscillations.     

Measurement of vacancy transfer probability from K to L shell using K-shell fluorescence yields

The vacancy transfer probabilities from K to L shell through radiative decay, η _KL, have been deduced for the elements in the range 19 ≤ Z ≤ 58 using K-shell fluorescence yields. The targets were irradiated with γ photons at 59.5 keV from a 75mCi ²⁴¹Am annular source. The K X-rays from different targets were detected with a high resolution Si(Li) detector. The measurement of vacancy transfer probabilities are least-squared fitted to second-order polynomials to obtain analytical relations that represent these probabilities as a function of atomic number. The obtained results agree with theoretical and fitted values.     

On the Quantitative Treatment of Donor–Donor Energy Migration in Regularly Aggregated Proteins

An algorithm is presented that quantitatively accounts for donor–donor energy migration (DDEM) among fluorophore-labeled proteins forming regular aggregates. The DDEM algorithm is based on Monte Carlo and Brownian dynamics simulations and applies to calculation of fluorescence depolarisation data, such as the fluorescence anisotropy. Thereby local orientations, as well as reorienting motions of the fluorescent group are considered in the absence and presence of DDEM and among, in principle, infinitely many proteins as they form regular aggregates. Here we apply the algorithm for calculating and illustrating the DDEM and the time-resolved fluorescence anisotropy under static as well as dynamic conditions within helical, linear and circular aggregate structures. A principal approach of the DDEM algorithm for analysing protein aggregates is also outlined.     

Silsesquioxane nanoparticles with reactive internal functional groups

A series of silsesquioxane nanoparticles containing reactive internal organic functionalities throughout the entire particle body have been synthesized using a surfactant-free method with organosilanes as the sole precursors and a base catalyst. The organic functional groups incorporated are vinyl, allyl, mercapto, cyanoethyl, and cyanopropyl groups. The sizes and morphologies of the particles were characterized using SEM and nitrogen adsorption, while the compositions were confirmed using TGA, FT-IR, solid state NMR, and elemental analysis. The accessibility and reactivity of the functional groups inside the particles were demonstrated by performing bromination and reduction reactions in the interior of the particles.     

On the Curvature Properties of Manifolds with Deformed <Emphasis Type="Italic">G</Emphasis><Subscript>2</Subscript> Structures

In this paper, we study the curvature properties of a manifold with structure group G₂ whose fundamental 3-form is deformed by a Killing vector field of unit length. We obtain some results concerning conditions under which this manifold is flat, Einstein, or isometric to the unit sphere.     

Basic gravitational currents and Killing–Yano forms

It has been shown that for each Killing–Yano (KY)-form accepted by an n-dimensional (pseudo)Riemannian manifold of arbitrary signature, two different gravitational currents can be defined. Conservation of the currents are explicitly proved by showing co-exactness of the one and co-closedness of the other. Some general geometrical facts implied by these conservation laws are also elucidated. In particular, the conservation of the one-form currents implies that the scalar curvature of the manifold is a flow invariant for all of its Killing vector fields. It also directly follows that, while all KY-forms and their Hodge duals on a constant curvature manifold are the eigenforms of the Laplace–Beltrami operator, for an Einstein manifold this is certain only for KY 1-forms, (n − 1)-forms and their Hodge duals.     

The antioxidant effects of dry apricot in the various tissues of rats with induced cold restraint stress

α-Tocopherol and β-carotene are the best known and most widely used natural antioxidant substances. Apricot contains β-carotene, tocopherols and flavonoids. This experimental study was designed to investigate the protective effect of Malatya kabashi apricot in stress-induced injury in various tissues of rats. In total, 32 male Wistar albino rats were divided into four groups: control, apricot, stress and apricot-stress groups. Apricot was administrated to rats by gavage for 10 days in the apricot and apricot-stress groups. Then rats were kept at 4°C for 4?h in stress and apricot-stress groups. The rats were killed at the end of the experiment for biochemical and histological examinations. This study shows apricot supplementation decreased oxidative stress injury in both the stomach and intestine.     

On the energy and Estrada index of strongly quotient graphs

In this paper, we consider the strongly quotient graphs and obtain some better results for the energy and Estrada index of these graphs, as well as some relations between Estrada index and the graph energy.