Thermochemical Evaluation of Combustion Synthesis of Al2O3/B4C Composite

The equilibrium phase and adiabatic temperature for combustion synthesis of Al₂O₃/B₄C employing Al, B₂O₃ and C as starting materials is analyzed by both conventional and CALPHAD method. The adiabatic temperature calculed by CALPHAD method is significantly lower than that obtained by conventional method. The CALPHAD calculation also reveals that the equilibrium phases presented at the adiabatic temperature are different to the desired composites. The adiabatic temperature in this system can be lowered by introducing Al₂O₃ as diluents. The maximum amount of Al₂O₃ that can be added to the system while maintain a self-sustaining combusion mode is 1.3 mol.     

Effect of particle size on phase structure of ZrO2 produced by hydrolysis of ZrOCl2 solution

A method to produce ZrO₂ nano-particles is developed and the effect of particle size on the phase structure of ZrO₂ is studied. The method is based on the hydrolysis of ZrOCl₂ solution in the reverse micelles of a liquid-liquid two-phase system, in which AOT (sodium 2-ethylhexyl sulfosuccinite) and toluene are chosen as the surfactant and organic phase, respectively. The reverse micelles prevent the aggregation of primary particles, the nano-particle size increases as the AOT content decreases. The TEM,XRD and particle-size analysis results show that the occurrence of metastable tetragonal ZrO₂ is attributed to the effect of the particle size other than the effect of the crystallite size. The ratio of t-phase to m-phase increases as the particle size decreases, and 28 nm is the critical size for t-phase to m-phase transformation.     

Ultra-fine grinding and mechanical activation of mine waste rock using a high-speed stirred mill for mineral carbonation

CO₂ sequestration by mineral carbonation can permanently store CO₂ and mitigate climate change. However, the cost and reaction rate of mineral carbonation must be balanced to be viable for industrial applications. In this study, it was attempted to reduce the carbonation costs by using mine waste rock as a feed stock and to enhance the reaction rate using wet mechanical activation as a pre-treatment method. Slurry rheological properties, particle size distribution, specific surface area, crystallinity, and CO₂ sequestration reaction efficiency of the initial and mechanically activated mine waste rock and olivine were characterized. The results show that serpentine acts as a catalyst, increasing the slurry yield stress, assisting new surface formation, and hindering the size reduction and structure amorphization. Mechanically activated mine waste rock exhibits a higher carbonation conversion than olivine with equal specific milling energy input. The use of a high-speed stirred mill may render the mineral carbonation suitable for mining industrial practice.     

Harmonic synchronization model of the mating dengue vector mosquitoes

When two mosquitoes meet to mate, each modulates its flight tones such that the female’s 3rd and the male’s 2nd harmonic frequencies are equivalent. We show that this phenomenon is an example of synchronization, which is common in nature. The mosquito’s flight tone acts as an external signal, stimulating its partner to adjust the wing beat rhythm to achieve the synchronization state. A simplified model, which is based on the frequency ratio difference feedback mechanism, is proposed to describe the harmonic convergence of mosquitoes. Furthermore, we proposed a method to characterize the energy dissipation in the frequency alteration, and the results demonstrate that 3/2 frequency locking is an optimal selection to mosquitoes. When compared with other possible ratios, the mosquitoes expend minimum energy if they lock the synchronizing state at a ratio of 3/2.     

A classification method for Web information extraction

Web information extraction is viewed as a classification process and a competing classification method is presented to extract Web information directly through classification. Web fragments are represented with three general features and the similarities between fragments are then defined on the bases of these features. Through competitions of fragments for different slots in information templates, the method classifies fragments into slot classes and filters out noise information . Far less annotated samples are needed as compared with rule-based methods and therefore it has a strong portability. Experiments show that the method has good performance and is superior to DOM-based method in information extraction.     

Hyperspherical study of Ne2Kr and Ne2Xe systems

We have calculated the ground state energies and rotational constants for the Ne₂ Kr and Ne₂ Xe systems, as well as their corresponding isotopes using the hyperspherical method. We used B-splines as basis function to expand channel functions and make the knot distribution of B-splines characterize the behavior of the channel function precisely. As a result, the extremely slow convergence of quantum mechanic calculation for these van der Waals trimers containing heavy element is improved greatly. The convergent rotational constants and the isotope shifts are obtained and compared with other theoretical and experimental values. Our results using newly proposed Tang-Toennies （TT） pair-wise potentials are consistent with that of Ernesti and Hutson’s calculation using HFD-B potentials, and give an improved agreement with experimental data.     

An Adaptive Boundary Collocation Method for Plate Bending Problems

A boundary collocation method based on the least-square technique and a corresponding adaptive computation process have been developed for the plate bending problem. The trial functions are constructed using a series of the biharmonic polynomials, and the local error indicators are given by the residu- als of the energy density on the boundary. In comparison with the conventional collocation methods, the solution accuracy in the present method can be improved in an economical and efficient way. In order to dem- onstrate the efficiency and advantages of the adaptive boundary collocation method proposed in this paper, two numerical examples are presented for circular plates subjected to uniform loads and restrained by mixed boundary conditions. The numerical results for the examples show good agreement with ones presented in the literature.     

Microstructural characterization and oxidation resistance of multicomponent equiatomic CoCrCuFeNi-TiO high-entropy alloy

CoCrCuFeNi-TiO was prepared by arc melting of the pure elements and Ti₂CO powder under an Ar atmosphere. Both CoCrCuFeNi and CoCrCuFeNi-TiO alloys are composed of a face-centered cubic (fcc) solid solution, whereas the alloys of CoCrCuFeNi-TiO are basically composed of an fcc solid solution and TiO crystals. The microstructures of CoCrCuFeNi-TiO are identified as dendrite and interdendrite structures such as CoCrCuFeNi. The morphology of TiO is identified as an equiaxed crystal with a small amount of added Ti₂CO. By increasing the amount of Ti₂CO added, the TiO content was dramatically increased and part of the equiaxed crystals changed to a dendrite structure. A test of the oxidation resistance demonstrates that the oxidation resistance of CoCrCuFeNi-TiO is better than that of CoCrCuFeNi. However, as the TiO content increases further, a corresponding decrease is observed in the oxidation resistance.     

熔盐制备金属氮化物/金属氮氧化物复合光催化剂

Pyrolysis of the Ta₂O₅/melamine mixture in molten chlorides is herein demonstrated as a facile and controllable method to nitridize and functionalize Ta₂O₅. The influence of the stoichiometry and composition of Ta₂O₅/melamine in molten salts on the nitridation process is rationalized to ensure the controllable preparation of Ta₃N₅ and Ta₃N₅/TaON. The characterization results, including scanning electron microscopy, transmission electron microscopy, elemental mapping, X-ray photoelectron spectroscopy, and photoluminescence spectroscopy, all confirm the existence of the Ta₃N₅/TaON heterojunction, in which the TaON nanoparticles are closely anchored to the Ta₃N₅ nanorods. Benefiting from its composition and structure, the Ta₃N₅/TaON composites show enhanced photocatalytic activity for the degradation of methylene blue. The present study highlights that the molten salt method using a solid nitrogen source can be a new technique for rationalizing the design of nitrides and oxynitrides.     

Bulk metallic glass rings prepared by a modified water quenching method

Bulk metallic glass rings have the potential applications as annular gasket and active solder in special fields. The bulk metallic glass ring of Zr_1.2Ti_13.8Cu_12.5Ni_10.0Be_22.5 with the outer diameter, the inner diameter, and the thickness of 38, 36, and 5 mm, respectively, was prepared by using a special shaped quartz tube water quenching method. The mechanical properties along the whole cross section were investigated by a nanoindentation method, and no evident variation of the Young's modulus and hardness was found, further indicating the single amorphous structure. Amorphous ring and tube-shape parts with different dimensions can be produced by this method.     

q-Bernoulli多项式的积分多项式

在2006年HegaziAS和Mansour M给出了q-Bernoulli多项式的指数型发生函数,在此利用q-积分的定义在其基础上进一步研究了q-Bernoulli多项式的积分多项式,给出了这类多项式的定义和基本性质,并通过几何级数的恒等变换建立了与q-Gamma函数、Stirling函数的联系．     

Cauchy多项式与高阶Cauchy多项式

给出了Cauchy多项式与高阶Cauchy多项式及高阶Cauchy数的定义,导出了它们的生成函数,利用第2类Stirling数得到了它们的递推公式,获得它们与高阶Bernou lli多项式、高阶退化Bernou lli多项式的关系式.     

关于Genocchi多项式与Bernoulli多项式的恒等式

利用生成函数的方法,讨论了Genocchi多项式、Bernoulli多项式与Euler多项式线性组合的乘积问题,得到了Genocchi多项式与Bernoulli多项式、Euler多项式的一些组合恒等式.     

关于高阶Euler多项式和Euler多项式

讨论了高阶Ｅｕｌｅｒ多项式和Ｅｕｌｅｒ多项式的关系,推广了张之正、胡廷锋的结果。     

Bernoulli多项式和Euler多项式的Akiyama-Tanigawa算法

研究Bernoulli多项式和Euler多项式的Akiyama-Tanigawa算法,利用Stirling数分别给出它们的一类新的封闭计算公式.     

关于高阶Euler多项式和高阶Bernoulli多项式的计算公式

给出了能简捷地计算出高阶Euler多项式和高阶Bernoulli多项式的计算公式．     

关于Legendre多项式和Chebyshev多项式的几个组合公式

根据Legendre多项式的正交性,利用一个组合恒等式,得到由Legendre多项式表示x2n和x2n+1的具体形式,进而建立了Legendre多项式和Chebyshev多项式的关系式.     

有关Bernoulli积分多项式的某些恒等式

利用发生函数,研究了Bernoulli积分多项式和Genocchi多项式,Euler多项式之间的关系,并得到了几个漂亮的恒等式．     

插值广义多项式

在线性空间Ω=span{g_p…,g_n}中找一元素L_n(x),使n~(x)满足某些给定的插值条件.本文给出了两种播值条件,求出了L_n(x),给出了误差函数.     

Test多项式及其判定

给出了判断K[x]=K[x1,x2,…,xn]中的多项式为test多项式的若干方法，并给出了一类test多项式．