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Fundamentals and Methods

## Abstract

Joint stabilizers and new technology stabilizers are hotspots of ship stabilizing technology research at the present stage. This study proposes a magnetic suspension stabilizing method; expounds the working principle of magnetic suspension stabilization, respectively; establishes the mathematical model of the magnetic suspension stator and the stabilization mass block and the mathematical model of magnetic stabilizer and ship; and stimulates the displacement, velocity, and acceleration. On the basis of the simulation, a set of magnetic suspension stabilizers have been designed; the stability of suspension has been tested; and, respectively, the acceleration value of stator and stabilization mass block has been measured by loading 0–500 Hz sine voltage excitation signal on electromagnetic coil; thus, the feasibility of the magnetic suspension stabilizer has been verified.

## Abstract

This paper presents optical Gaussons by the aid of the Laplace–Adomian decomposition scheme. The numerical simulations are presented both in the presence and in the absence of the detuning term. The error analyses of the scheme are also displayed.

## Abstract

The copper-rich intermetallic compounds CaCu9Mg2 and SrCu9Mg2 were synthesized by induction melting of the elements and subsequent annealing in a muffle furnace. CaCu9Mg2 and SrCu9Mg2 crystallize with the TbCu9Mg2 type structure, space group P 63/mmc, which is a ternary ordered variant of CeNi3. The polycrystalline samples were characterized through their X-ray powder patterns. The CaCu9Mg2 structure was refined from single-crystal X-ray diffraction data. a = 504.13(9), c = 1622.5(3) pm, wR2 = 0.0635, 302 F2 values and 19 variables. The two striking coordination polyhedra in the CaCu9Mg2 structure are Ca@Cu18Mg2 and Mg@Cu12Mg3Ca. These polyhedra condense to layers which are stacked in ABA′B′ sequence. The X-ray data give no hint for Ca/Mg mixing.

## Abstract

Explicit formulas for coordination sequences of all 20 plane 2-uniform graphs are proved. The proof is based on the concept of layer-by-layer growth and on the canonical representation of geodesic chains in terms of special chains called as rays. The method works for a wide class of plane periodic graphs satisfying the following condition: for each sector of layer-by-layer growth there exists a graph vertex that is initial for two rays determining the sector. This generaizes the previous results where it is required that all vertices are initial for all rays.

## Abstract

Orientated ilmenite inclusions have been discovered in amphibole of hornblendite from the Zhujiapu area, Dabie ultra-high-pressure (UHP) metamorphic terrane, China. In order to characterize the crystallographic orientation relationships between ilmenite inclusions and amphibole host and reconstruct the mechanism of their formation, we present an electron backscatter diffraction (EBSD) analysis combined with energy dispersive spectroscopy (EDS) analysis and electron microprobe analysis (EPMA) for ilmenite inclusions and amphibole host. The inclusions can be subdivided into four groups: (1) 60.2% of ilmenites have the crystallographic orientation {0001}Ilm // {100}Amp, (101̅0)Ilm // {010}Amp, [112̅0]Ilm // <001> Amp and [112̅0]Ilm // <012 > Amp. (2) 16.5% of ilmenites have <0001> Ilm // <001> Amp, (101̅0)Ilm // {010}Amp, (112̅0)Ilm // {100}Amp and [3̅031]Ilm // <012> Amp. (3) 13.8% of ilmenites have <0001> Ilm // <012> Amp, (112̅0)Ilm // {100}Amp and [3̅031]Ilm // <001> Amp. (4) 9.5% of ilmenites have <0001> Ilm // [1̅12]Amp, (101̅0)Ilm // {201}Amp, [112̅0]Ilm // [1̅12]Amp and $[1121¯]Ilm$// <010> Amp. By comparing the lattice relationship between ilmenite inclusions and amphibole hosts, it is shown that the frequency of the ilmenite inclusions in different groups is related to the lattice coherency and oxygen packing. Group-1 of the ilmenite inclusions was most likely be formed via a solid-state exsolution process by cooling of the hornblendite after the intrusion was emplaced. The other three groups of ilmenite inclusions were probably formed via reduction reaction in an open system. The formation temperature of the ilmenite inclusions is estimated by using the TiO2 solubility geothermeter in amphibole. The minimum formation temperature of the ilmenite inclusions is about 1025 °C, and the maximum formation temperature of the ilmenite inclusions is about 1126 °C.

## Abstract

Although γ/η-Mo4O11 and Mo2Ta2O11 are used in a variety of industrial applications and can easily be synthesized in a chemical vapour transport (CVT) process or reactions in silica ampoules, respectively, only few data are available concerning their physical properties. In this paper, we further explore the properties of the three compounds with respect to their thermal and magnetic behavior, surface composition, and Raman spectroscopic properties.

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## Abstract

The detail investigation of the samples with nanodimensional anatase, formed by hydrolysis of TiOSO4 × xH2O without or in the presence of polymer poly(N-vinyl caprolactam), physical precipitation of the polymer followed by the capture of commercial Hombifine N are performed by X-ray powder diffraction using laboratory and synchrotron radiation sources, transmission electron microscopy with the diffraction, and elemental analysis. The two «core»-«shell» models with nanoparticles and their associates as a core can be applied to samples produced. The synchrotron and electron radiation change the degree of crystallinity and the imperfection of anatase, isolate of TiO2−x(OH)2x × yH2O from the nanoparticle shell with a decrease in its thickness, lead to the anatase – rutile phase transition. The double diffraction effect on the appearance of kinematically forbidden reflections caused by the dynamic character of the electron diffraction. The photoactivity depends on microstructural characteristics (specific surface, nanoobjects sizes). The structure and elemental composition of nanoparticles (associates) affect antimicrobial activity against Staphylococcus aureus and Escherichia coli.