Consider a sequence of point sets on S, where each set X is a spherical ndesign with m points, where m = O(n), and where the spherical distance between points of X is at least λ/ √ m, for some λ common to all sets of the sequence. For each X of such a sequence, the Coulomb energy E(X) is bounded by E(X) 6 1 2 m2 + O(m). The first term and the order of the second term are the same as for the bou...

Synthesis of strontium oxide nanoparticles was carried out by sol –gel method using nitrate and sodium hydroxide at room temperature which is very simple cost effective. The characterization done X-ray diffraction, scanning electron microscopy (SEM) Fourier transform infra-red (FTIR). diffraction pattern indicates that the are crystalline in nature. size nanoparticle calculated Debye-Scherrer f...

Hematite coated PEG was synthesized by the sonication-calcination method. A variation of Na2CO3 is investigated to know effect on structure and morphology. Characterization samples are using X-ray fluorescence, diffraction, Scanning electron microscopy, color reader techniques. XRF data showed that iron highest element in precursor. The diffraction confirm Fe(OH)3, α-FeOOH, Fe3O4 esta...

Particle aggregation and film agglomeration have been among the main technical hurdles for solid-state thin film development and have been observed in many semiconductor and catalytic systems. In heterogeneous catalysis, particle aggregation leads to reduction of effective surface area and degradation of catalytic performance. On semiconductor surfaces, film agglomeration may give rise to elect...

An L-spherical code is a set of Euclidean unit vectors whose pairwise inner products belong to the set L. We show, for a fixed α, β > 0, that the size of any [−1,−β] ∪ {α}-spherical code is at most linear in the dimension. In particular, this bound applies to sets of lines such that every two are at a fixed angle to each another.

In the context of the p-spin spherical model we show how saddle points of the

We present the results of an empirical study, which investigated the effects of the amount of information and the type of information refuted in refutation texts. The study compared the effects of three refutation texts on elementary school children’s understanding of the scientific concept of the Earth. One text refuted only the belief that the Earth is flat, the second refuted in addition the...

Agglomeration of nanoparticles in biological fluids is a pervasive phenomenon that leads to difficulty in the interpretation of results from in vitro exposure, primarily due to differing particokinetics of agglomerates to nanoparticles. Therefore, well-defined small agglomerates were designed that possessed different particokinetic profiles, and their cellular uptake was compared to a computati...