New travelling wave solutions for nonlinear stochastic evolution equations

The nonlinear stochastic evolution equations have a wide range of applications in physics, chemistry, biology, economics and finance from various points of view. In this paper, the $\left({G^{\prime}}/{G}\right)$ -expansion method is implemented for obtaining new travelling wave solutions of the nonlinear (2?+?1)-dimensional stochastic Broer–Kaup equation and stochastic coupled Korteweg–de Vries (KdV) equation. The study highlights the significant features of the method employed and its capability of handling nonlinear stochastic problems.     

Thermodynamics of the β-Naphthol/Acetamide Phase Diagram by Thermal Analysis Techniques

Thermal analysis has been integrated into our physical chemistry laboratory course in order to allow students to systematically explore the role of composition in determining the physical properties of a binary mixture. The -naphthol/acetamide system is presented as an interesting starting point for such a project, as it displays a temperature/composition phase diagram which deviates slightly from the simple two-component eutectic picture. Students compare their measured pure-component melting temperatures with literature values, rationalize the observed trends with mixing using freezing-point-depression arguments, and make a literature search of the unique morphological solid phase obseved in analogous studies. This hands-on project is designed to be accompanied by a classroom discussion of multicomponent phase equilibria.     

Periodic solutions of Wick-type stochastic Korteweg–de Vries equations

Nonlinear stochastic partial differential equations have a wide range of applications in science and engineering. Finding exact solutions of the Wick-type stochastic equation will be helpful in the theories and numerical studies of such equations. In this paper, Kudrayshov method together with Hermite transform is implemented to obtain exact solutions of Wick-type stochastic Korteweg–de Vries equation. Further, graphical illustrations in two- and three-dimensional plots of the obtained solutions depending on time and space are also given with white noise functionals.     

Separation and Purification of Sesquiterpene Lactones from a Plant,Carpesium Triste var. Manshuricum KITAMURA

Carpesium triste var. manshuricum K. is a plant which is rarely distributed in Korea, and it has long been used as traditional medicinal herb for its antipyretic, analgesic, vermifugic, insectifuge,pain-relief,and antiinflammatory properties. Several sesquiterpene lactones were isolated from the genus Carpesium.     

Binding of permanganate anion to pentaammineazidocobalt(III) cation in solution and solid phases: synthesis,characterization, X-ray structure,and genotoxic effects of [Co(NH3)5N3](MnO4)2⋅H2O

A pentaammineazidocobalt(III) complex, [Co(NH₃)₅N₃](MnO₄)₂XH₂O has been synthesized by an one-pot synthesis method. It was characterized by studies such as infrared (IR) and UV-visible spectroscopy. The single crystal X-ray structure analysis revealed that the title complex crystallizes in space group Cc. The cobalt center is six coordinated with slightly octahedral geometry. The supramolecular architecture is also formed by intermolecular N-H…O (anion and H₂O) and Mn-O…O-H hydrogen bonds. The binding property of the cation, [Co(NH₃)₅N₃]²⁺ with the anion, MnO₄^– has also been determined (in solution phase) with the help of UV-visible spectroscopic titrations. Further, the genotoxic effects of KMnO₄, [Co(NH₃)₅N₃]Cl₂ and [Co(NH₃)₅N₃](MnO₄)₂XH₂O were studied using Allium cepa root chromosomal aberration assay and it revealed that the genotoxicity of the newly synthesized complex is 1.97–1.76 fold, which is less compared to KMnO₄. The order of genotoxic potential has been observed to be KMnO₄ > [Co(NH₃)₅N₃](MnO₄)₂XH₂O > [Co(NH₃)₅N₃]Cl₂.     

Quercetin enhances vitamin D2 stability and mitigate the degradation influenced by elevated temperature and pH value

Vitamin D₂ (vit. D₂) is a nutraceutical essentially needed for good health. However, it is susceptible to oxygen and high temperature. The use of natural products such as bioflavonoids possessing anti-degradative effect of vit. D₂ degradation has not been described before. A combinational effect of vit. D₂ with quercetin showed a positive effect and inhibited vit. D₂ degradation when exposed to high temperature (50 ℃ and 75 ℃) at different time points. The results obtained revealed vit. D₂ degradation was drastically increased with longer incubation under thermal treatment. However, quercetin and vit. D₂ groups were able to significantly inhibit the degradation of vit. D₂ and stabilize it, evaluated through the retention percentage. We also exposed vit. D₂ at solutions with different pH values (1, 4, 5, 7, 10). Quercetin exerted vit. D₂ anti-degradation at different pH values as well as under thermal pressure at different time points. Conclusively, quercetin can be an effective way to reduce temperature and pH induced degradation of vit. D₂.     

BaLaB_9O_(16)∶Eu,Tb的真空紫外光谱特性

采用高温固相反应法合成了BaLaB9O1 6 ∶RE (RE =Eu ,Tb)等离子荧光体 ,测量了它们的真空紫外激发光谱和 14 7nm激发下的发射光谱。结果表明 ,硼氧阴离子基团基质吸收带位于 15 0nm附近 ,Eu3 电荷迁移带位移 2 5 0nm附近 ,Tb3 的 4f 5d吸收位于 15 0～ 2 60nm的区域内 ,相关数据表明 ,基质与稀土离子之间存在能量传递。     

ESTIMATE OF THE UPPER CRITICAL FIELD AND CONCENTRATION FOR SUPERCONDUCTOR

The effect of an applied magnetic field on an inhomogeneous superconductor is studied and the value of the upper critical magnetic field Hc3 at which superconductivity can nucleate is estimated. In addition, the authors locate the concentration of the order parameter, which depends on the inhomogeneous term a(x). Unlikely to the homogeneous case, the order parameter may concentrate in the interior of the superconducting material, due to the influence of the inhomogeneous term a(x).     

Local regularity criteria of a suitable weak solution to MHD equations

We present a regularity condition of a suitable weak solution to the MHD equations in three dimensional space with slip boundary conditions for a velocity and magnetic vector fields. More precisely, we prove a suitable weak solution are H¨older continuous near boundary provided that the scaled mixed L_(x,t)~(p,q) -norm of the velocity vector field with 3/p + 2/q ≤ 2,2 q ∞ is sufficiently small near the boundary. Also, we will investigate that for this solution u ∈ L_(x,t)~(p,q) with 1≤3/p+2/q≤3/2, 3 p ∞, the Hausdorff dimension of its singular set is no greater than max{p, q}(3/p+2/q-1).     

单个离子标准迁移自由能的测定

本文采用活化分析法测定参考解质Ph4AsPh4B晶体在水和有机溶剂中的溶解度和计算了它从水迁移到有机溶剂中的标准迁移Gibbs自由能△^s^wG^0t.根据Ph4AsPh4B假定,求得参考正负离子Ph4As^+和Ph4B^-的标准迁移Gibbs自由能.又通过测定Ph4AsTcO4,CsPh4B,KPh4B和CsTCO4等晶体在水和有机溶剂站的溶解度,求得TcO4^-,K^+,Cs^+等离子的标准迁移自由能,并对结果进行了讨论.