Frequency and size distribution dependence of visible and infrared extinction for astronomical silicate and graphite grains

In a recent paper, the frequency and size distribution dependence of extinction spectra for astronomical silicate and graphite grains was analyzed in the context of MRN type interstellar dust models in the far ultraviolet and ultraviolet regions. These grains were taken to be homogeneous spheres following a power law size distribution. In the present work we extend the analysis further to cover the visible as well as the infrared part of the electromagnetic spectrum. The analytic formulas presented here along with those given in the earlier paper would enable one to evaluate extinction for these grains within a wider wavelength range 1000-22,500 Å and analyze the observational interstellar extinction data in far greater details.     

Determining misorientation of graphite grains from the angular dependence of X-ray emission spectra

Angular-resolved X-ray absorption spectra were measured for pyrolytic graphite samples of various quality. A new approach to determining the misorientation of graphite grains in polycrystalline samples is proposed, which is based on calculations of the angular dependence of the relative intensity of a peak corresponding to the π* state for a normal distribution of grains. The experimental values are used to construct theoretical angular dependences using partial densities of the π* and σ* states determined from the nonempirical calculations for graphite.     

光全散射法测量微粒尺寸分布的研究

本文从光全散射法的基本原理出发,提出了测量微粒尺寸分布的独立道模式光全散射测量法和非独立模式光全散射测量法,解决了以往光全散射法只能测量微粒的平均直径,不能给出尺寸分布,并且测量范围小,测量结果有多值性的缺陷,独立模式光全散射测量法还能用于测量多峰分布微粒的尺寸分布,数值计算和实验研究表明用本文方法,测量结果准确,可靠。     

A study of frequency and temperature dependence of ionic conductance

An approach to study the frequency and temperature dependence of the bulk ionic conductivity, based on the log-log representation of the frequency response, is described. Experimental results obtained on -PbF₂ thin-film samples are used to illustrate this approach. The analysis of these results permits to separate the different physical mechanisms involved and to model the cells. Using CPE (Constant Phase Element) Y=Y ₀(j) ⁿ for the interfaces, but also for the bulk ionic conductance, permits to fit the experimental results. A progressive increase of the slope n of the admittance which corresponds to the bulk ionic conductivity is observed when the temperature decreases. A graphical method is described which can be used to determine the activation energy in this case of a CPE behavior of the conductance. It is based on the obtention of a unique curye which describes the frequency and temperature dependence of the reduced conductance G=Y _r T plotted versus the reduced radial frequency u=. This curve shows the whole conductance variation which starts from pure transport with n=0 at low frequencies and high temperature, and tends for high frequencies or low temperatures toward the dielectric response (n1), corresponding to ion displacements limited to only one jump. The observed CPE behavior of the conductance at constant temperature thus appears to be the result of the very slow variation rate of the slope n of the reduced conductance versus the radial frequency.     

Measurement of aerosol size distribution functions by wavelength-multiplexed laser extinction

Previous work on the measurement of aerosol size distribution functions (SDFs) by laser extinction mainly relied on light sources from a relatively narrow wavelength range. This paper investigates the potential advantages of extending the extinction method to a general wavelength-multiplexed laser extinction (WMLE) concept by incorporating an arbitrary number of laser sources from a wider wavelength range. This extension improves the sensitivity of SDF measurements over wider aerosol diameter ranges and enables a stable algorithm to invert the extinction data to obtain SDFs. These advantages are illustrated by an example WMLE scheme employing wavelengths in the spectral range from 0.25 to 10μm to measure SDFs of water aerosols. Application of this approach to other aerosol systems is also considered. The WMLE scheme was found to provide stable determination of a variety of SDFs with Sauter mean diameters ranging from sub-micron to about 10μm. The sensitivity of such determinations was evaluated to reveal the optimum applicable range of the wavelengths employed. The analyses performed here provide theoretical background and motivation for practical applications of the WMLE concept.     

The effect of grain size distribution on the frequency dependence of the ultrasonic attenuation in polycrystalline materials

An expression has been derived for the effect of the grain size distribution in polycrystalline materials on the frequency dependence of the ultrasonic attenuation. It has been shown that two specimens with the same mean grain size can have significantly different ultrasonic attenuations if their grain size distributions are different and that no unique solution in terms of the grain size exists for a particular ultrasonic attenuation against frequency curve. Qualitative agreement has been found between the theory and some of the experimental data available.     

用多波长消光法测量大颗粒的尺寸分布

基于Mie光散射理论,提出一种用多波长消光原理(light extinction)测量大颗粒的尺寸分布的方法.理论分析及计算机数值模拟表明,采用可见光波段的多波长消光法可将测粒上限扩展至300μm以上.文中给出了数值模拟结果和对几种大尺寸标准颗粒的实测结果.     

Inversion of visible optical extinction data for spheroid particle size distribution based on PCA

The problem of light scattering properties of spheroid particles is studied, and a general approach is presented for calculating the single particle light scattering of spheroids. In this approach, the extinction efficiency of spheroid particles can be calculated by combining the spline interpolation of T matrix method and ADA (anomalous diffraction approximation) theory. Furthermore, the retrieval of spheroid particle size distribution is performed in the dependent mode and a selection method about the optical extinction data is proposed based on PCA (principle component analysis) of first derivative corresponding to the raw optical extinction. By calculating the contribution rate of first derivative corresponding to the raw optical extinction, the optical extinction with more significant features can be selected as the inversion optical extinction data. In this way, the selected optical extinction has less information redundancy and higher capacity of resisting noise disturbance. Simulation experiments indicate that the spheroid particle size distributions obtained with the proposed method coincide fairly well with the given distributions, which provides a simple, reliable and efficient method to retrieve the spheroid particle size distribution using the optical extinction data.     

膨胀石墨 3 mm波消光数值计算

为探讨膨胀石墨作为3 mm波干扰材料的消光、散射特性及其影响因素, 基于有限长度、有限电导率圆柱状导体的电磁散射, 利用矩量法建立了膨胀石墨的消光、散射、吸收及后向散射截面(雷达散射截面RCS)的计算式. 运用Mathematica编程计算并分析了膨胀石墨长度、半径、电导率、磁导率等因素与膨胀石墨消光、散射、吸收截面及RCS的关系. 结果表明: 当膨胀石墨的长度为1.5 mm、半径为0.05 mm时, 具有较好的消光、散射效果; 适当增大膨胀石墨的电导率、磁导率, 有利于提高其消光、散射能力. 本研究为探索增强膨胀石墨干扰3 mm波效果的技术途径提供了有价值的参考. 关键词： 膨胀石墨 石墨层间化合物 消光截面 矩量法     

Experimental infrared spectroscopic measurement of light extinction for agglomerate dust grains

Optical properties of aggregate dust grains hold a key to understand many astrophysical problems. Scattering and absorption features are strongly influenced by morphological aspects of grains (particle size, shape, and agglomeration). We have experimentally investigated the morphological effects on the extinction band in the infrared region for amorphous silica (SiO₂) particles which are of 0.5, 1.0, and in diameter. Deviations of the peak position of this band have been detected depending on environment (air or KBr), particle size, and manufacturer of the samples. We found that the peak position difference of silica particles with a diameter of 0.5 and was in wavelength whereas the effect of different environments were approximately . In addition, the measured band profiles were compared with calculations for five cluster shapes applying three different theoretical approaches (Mie, T-matrix, and DDA). The calculated extinction efficiencies beyond the peaks rose as the particle size and the particle numbers in the clusters increased. The same rise compared to the Mie calculation was observed in the experimental spectra, which was, therefore, interpreted as a result of the clustering of the particles.     

Optical extinction for determining the size distribution of gold nanoparticles fabricated by ultra-short pulsed laser ablation

This work presents a method, based on measurements of the optical extinction spectra, to determine the size of spherical gold nanoparticles produced using the femtosecond laser ablation process in deionized water. By using an improved theoretical model that modifies the contribution of the free electrons to the dielectric function introducing a size-dependent term, it is possible to fit the full experimental extinction spectrum considering a certain size distribution. Additionally, in order to obtain complementary measurements of the size distribution, TEM analysis was performed. The results obtained showed that the predominant nanoparticle size distribution ranges from 1 to 11 nm in terms of radii. An optical extinction measurement together with an appropriate theoretical model based on Mie’s theory represents a simple, low-cost, fast and easy method to describe a multimodal size distribution of spherical gold nanoparticles.     

光子晶体晶粒尺寸和排列结构对随机激光辐射特性的影响

研究了光子晶体对随机激光器的输出特性的调控,并分析了光子晶体的晶粒尺寸和排列结构等对调控作用的影响.对于同一随机介质而言,上下表面用同种材料不同晶粒尺寸的光子晶体覆盖,结果显示:晶粒尺寸合适的光子晶体会使光在系统中来回振荡从而得到很好的放大,使系统中的光与随机增益介质的相互作用加强,激光阈值降低;同时还对激光模式有较强的调制能力,能在一定程度上抑制自发辐射,使之向所需要的频率内辐射.但如果光子晶体的晶粒尺寸与随机增益介质结构匹配不当,则光子晶体对激光模式调制能力较弱,光场能量不能有效地被局域在系统中,系统 关键词： 有限时域差分法 光子晶体 随机激光 辐射特性     

Retrieval of spheroidal particle size distribution using the approximate method in spectral extinction technique

Retrieval of spheroidal particle size distribution using an approximate method in spectral extinction technique is proposed. The combined approximate method, which is the combination of Mie method and generalized eikonal approximation (GEA) method, is used as an alternative to the rigorous solutions to calculate the averaging extinction efficiency of spheroid. Based on the averaging extinction efficiency, the accuracy and limitations of the retrieval are then investigated. Moreover, the validity range and effect of the refractive index are also examined. The Johnson's S_B function in this paper is used as a versatile function to fit the commonly used particle size distribution functions in the dependent model. Simulations and experimental results show that the combined approximate method can be successfully applied to retrieval of spheroidal particle size distribution. In certain constraint conditions, the retrieval results demonstrate the high reliability and stability of the method. By using the combined approximate method, the complexity and computation time of the retrieval are significantly reduced, which is more suitable for quick and easy measurement. The method can also be used as a replacement when the rigorous solutions suffer computationally intractable difficulties.     

Properties of ZnO in dependence on method of preparation and size distribution in coatings

The problem of environmental protection set strict limits for the use of toxic pigments (e.g., lead, cadmium and other heavy metals). At present, a new generation of pigments called environmental friendly is looked for elimination of these heavy metals. The aim of this work was preparation of different kinds of zinc oxide by various methods, the characterization of these particles and subsequently to pass judgment on their anticorrosion efficiency in coatings.     

Influence of graphite size on the synthesis and reduction of graphite oxides

We investigated the influence of the precursor, graphite, size on the synthesis and reduction of graphite oxide. Three precursors of graphite with different size were used to synthesize the graphite oxide which was consecutively reduced by hydrazine of different concentration ratios. Size dependent effect on the reduction of the graphite oxide was found, and the graphite oxide of the smallest size provided the best reduction result. Electrochemical properties of the reduced graphene oxide were investigated in both of the base and acid electrolytes, finding the reduced graphene oxide of the smallest size gives the best electrochemical performance due to the high reduction. Therefore, the precursor size is a very important factor in the synthesis and reduction of graphite oxide, affecting the electrochemical performance considerably for the energy storage applications.     

Supercube grains leading to a strong cube texture and a broad grain size distribution after recrystallization

This work revisits the classical subject of recrystallization of cold-rolled copper. Two characterization techniques are combined: three-dimensional X-ray diffraction using synchrotron X-rays, which is used to measure the growth kinetics of individual grains in situ, and electron backscatter diffraction, which is used for statistical analysis of the microstructural evolution. As the most striking result, the strong cube texture after recrystallization is found to be related to a few super large cube grains, which were named supercube grains. These few supercube grains become large due to higher growth rates. However, most other cube grains do not grow preferentially. Because of the few supercube grains, the grain size distribution after recrystallization is broad. Reasons for the higher growth rates of supercube grains are discussed, and are related to the local deformed microstructure.     

A simulation study of the pore size dependence of transport selectivity in cylindrical pores

The equilibrium adsorption and transport properties of mixtures of methane and carbon dioxide, modelled as spherical molecules, have been studied in cylindrical model pores with graphitic properties over a range of cylinder radii. The equilibrium isotherms exhibit packing transitions similar to those observed for single adsorbates; as a consequence, optimum separation factors are found at particular radii, depending on the fugacity (or pressure) in the system. The equations of non-equilibrium thermodynamics have been developed so as to represent the flux of each component in a Fickian form, as a coefficient multiplying the gradient of the total density. Diffusion coefficients were calculated from streaming velocity correlations and NEMD was used to obtain the ‘apparent’ viscous component. The results show that diffusion coefficients from equilibrium molecular dynamics and viscous diffusion coefficients from non-equilibrium calculations are identical within the errors of the calculation. It follows that equilibrium and dynamic separation factors have the same values over a range of pore sizes.     

A model for the size distribution of customer groups and businesses

We present a generalization of the dynamical model of information transmission and herd behavior proposed by Eguíluz and Zimmermann. A characteristic size of group of agents s₀ is introduced. The fragmentation and coagulation rates of groups of agents are assumed to depend on the size of the group. We present results of numerical simulations and mean field analysis. It is found that the size distribution of groups of agents n_s exhibits two distinct scaling behavior depending on ss₀ or s>s₀. For ss₀, n_ss^−(5/2+δ), while for s>s₀,n_ss^{−(5/2−δ)}, where δ is a model parameter representing the sensitivity of the fragmentation and coagulation rates to the size of the group. Our model thus gives a tunable exponent for the size distribution together with two scaling regimes separated by a characteristic size s₀. Suitably interpreted, our model can be used to represent the formation of groups of customers for certain products produced by manufacturers. This, in turn, leads to a distribution in the size of businesses. The characteristic size s₀, in this context, represents the size of a business for which the customer group becomes too large to be kept happy but too small for the business to become a brand name.