Temperature-Dependent Imaginary Part of the Off-Shell Nucleon Self-Energy and the Second Order Correction of Real Part of the Nucleon Self-Energy

The imaginary part of the off-shell nucleon self-energy at finite temperature in nuclear matter, where the polarization and correlation contributions of exchanges of the meson are taken into account, is investigated based on Walecka's meson-nucleon model and thermofield dynamics. The second order correction of temperature-dependent real part of the nucleon self-energy is calculated in terms of the dispersion relation. The Schrodinger equivalent potential of relativistic microscopic optical potential of a nucleon at finite temperature in nuclear medium is also studied.     

A General Strategy for the Biosynthesis of Gold Nanoparticles by Traditional Chinese Medicines and Their Potential Application as Catalysts

Tea time! Gold nanoparticles (GNPs) could be readily prepared by a general strategy involving the reduction of aqueous HAuCl₄ in the presence of traditional Chinese medicines (TCMs). Spheroidal and triangular gold nanoparticles were observed depending on the TCM used. The strategy exemplified the universal application of plant bioresources for the synthesis of GNPs and catalytic purposes.

     

Crystal Growth and Structure Determination of the Mixed-Valent Iron (III/IV) Oxides Sr<Subscript>2−x</Subscript><Emphasis Type="Italic">Ln</Emphasis><Subscript>x</Subscript>FeO<Subscript>4</Subscript> (<Emphasis Type="Italic">Ln</Emphasis> = Nd,Sm, Eu)

Abstract  

Single crystals of iron(IV) containing oxides, Sr_1.51Nd_0.49FeO₄, Sr_1.53Sm_0.47FeO₄, and Sr_1.65Eu_0.35FeO₄, were grown out of molten hydroxide fluxes. The structures were determined by single crystal X-ray diffraction. They crystallize in tetragonal space group I4/mmm with the K₂NiF₄ type structure. The average Fe valences in these mixed valent iron containing oxides range from 3.53 to 3.65.     

Three-step iterative methods with eighth-order convergence for solving nonlinear equations

A family of eighth-order iterative methods for the solution of nonlinear equations is presented. The new family of eighth-order methods is based on King’s fourth-order methods and the family of sixth-order iteration methods developed by Chun et al. Per iteration the new methods require three evaluations of the function and one evaluation of its first derivative. Therefore this family of methods has the efficiency index which equals 1.682. Kung and Traub conjectured that a multipoint iteration without memory based on n$n$ evaluations could achieve optimal convergence order 2ⁿ⁻¹$2^{n-1}$. Thus we provide a new example which agrees with the conjecture of Kung–Traub for n=4$n=4$. Numerical comparisons are made to show the performance of the presented methods.     

A new fractional analytical approach via a modified Riemann–Liouville derivative

This work suggests a new analytical technique called the fractional homotopy perturbation method (FHPM) for solving fractional differential equations of any fractional order. This method is based on He’s homotopy perturbation method and the modified Riemann–Liouville derivative. The fractional differential equations are described in Jumarie’s sense. The results from introducing a modified Riemann–Liouville derivative in the cases studied show the high accuracy, simplicity and efficiency of the approach.     

重金属生物吸附的研究进展

本文综述了重金属生物吸附的机理、影响生物吸附的物理化学因素和生理条件、生物吸附动力学、生物吸附过程的数学模型化、生物细胞的固定化和从生物量上回收被吸附的重金属等方面的研究进展。     

海带吸附Ag(Ⅰ)的物理化学特性研究

以海带(Laminaria japonica)干粉为吸附剂,研究了海带吸附Ag+的物理化学特性.结果表明海带对Ag+有很强的吸附能力,最大理论吸附量可达273mg/g干重.该吸附在20～40℃范围内是一个不依赖于温度的快速过程;对溶液的pH值有较宽的适应范围;海带浓度在0.5～4.0mg/L范围内,海带对Ag+的吸附量与海带粉的浓度成反比;起始Ag+浓度在10～800mg/L的范围内,海带对Ag+的吸附量与起始Ag+浓度成正比.吸附等温线符合Langmuir模型.TEM观察结果表明,海带能够将Ag+还原成Ag0.海带可用于从含Ag+的强酸废液中回收Ag+,当废液中Ag+浓度为121.9mg/L时,其回收率可达98.3%.     

N‐Annulated Perylene‐Substituted and Fused Porphyrin Dimers with Intense Near‐Infrared One‐Photon and Two‐Photon Absorption

Fusion of two N‐annulated perylene (NP) units with a fused porphyrin dimer along the S₀–S₁ electronic transition moment axis has resulted in new near‐infrared (NIR) dyes 1 a / 1 b with very intense absorption (ε>1.3×10⁵ M ^?1 cm^?1) beyond 1250 nm. Both compounds displayed moderate NIR fluorescence with fluorescence quantum yields of 4.4×10^?6 and 6.0×10^?6 for 1 a and 1 b , respectively. The NP‐substituted porphyrin dimers 2 a / 2 b have also been obtained by controlled oxidative coupling and cyclodehydrogenation, and they showed superimposed absorptions of the fused porphyrin dimer and the NP chromophore. The excited‐state dynamics of all of these compounds have been studied by femtosecond transient absorption measurements, which revealed porphyrin dimer‐like behaviour. These new chromophores also exhibited good nonlinear optical susceptibility with large two‐photon absorption cross‐sections in the NIR region due to extended π‐conjugation. Time‐dependent density functional theory calculations have been performed to aid our understanding of their electronic structures and absorption spectra.     

On convergence of a new secant-like method for solving nonlinear equations

In this paper, we prove that the order of a new secant-like method presented recently with the so-called order of 2.618 is only 2.414. Some mistakes in the derivation leading to such a conclusion are pointed out. Meanwhile, under the assumption that the second derivative of the involved function is bounded, the convergence radius of the secant-like method is given, and error estimates matching its convergence order are also provided by using a generalized Fibonacci sequence.     

New variants of Jarratt’s method with sixth-order convergence

In this paper, by using the two-variable Taylor expansion formula, we introduce some new variants of Jarratt’s method with sixth-order convergence for solving univariate nonlinear equations. The proposed methods contain some recent improvements of Jarratt’s method. Furthermore, a new variant of Jarratt’s method with sixth-order convergence for solving systems of nonlinear equations is proposed only with an additional evaluation for the involved function, and not requiring the computation of new inverse. Numerical comparisons are made to show the performance of the presented methods.