On the independence complex of square grids

The enumeration of independent sets of regular graphs is of interest in statistical mechanics, as it corresponds to the solution of hard-particle models. In 2004, it was conjectured by Fendley et al., that for some rectangular grids, with toric boundary conditions, the alternating number of independent sets is extremely simple. More precisely, under a coprimality condition on the sides of the rectangle, the number of independent sets of even and odd cardinality always differ by 1. In physics terms, this means looking at the hard-particle model on these grids at activity −1. This conjecture was recently proved by Jonsson. Here we produce other families of grid graphs, with open or cylindric boundary conditions, for which similar properties hold without any size restriction: the number of independent sets of even and odd cardinality always differ by 0, ±1, or, in the cylindric case, by some power of 2. We show that these results reflect a stronger property of the independence complexes of our graphs. We determine the homotopy type of these complexes using Forman’s discrete Morse theory. We find that these complexes are either contractible, or homotopic to a sphere, or, in the cylindric case, to a wedge of spheres. Finally, we use our enumerative results to determine the spectra of certain transfer matrices describing the hard-particle model on our graphs at activity −1. These results parallel certain conjectures of Fendley et al., proved by Jonsson in the toric case.     

Characterization of bilayer coatings of TiN/ZrN grown using pulsed arc PAPVD

Nitride coatings have been used to increase hardness and to improve the wear and corrosion resistance of structural materials. Coatings of TiN/ZrN were grown on stainless steel substrates using a physical vapour deposition system assisted by pulsed arc plasma (PAPVD). The coatings have been characterized by X-ray diffraction (XRD) in order to identify the present phases of the films, microstrain level generated, crystallite size and the variation of the lattice parameter. The results showed plane orientations (1 1 1) and (2 0 0) in both TiN and ZrN films. Morphology surface analysis of the samples were performed using a scanning probe microscope to characterize the grain size and roughness in the mode of the atomic force microscopy (AFM) hence it was observed that the root-mean-squared (rms) roughness for ZrN is smaller than for TiN. Besides elastic and friction properties of the films were characterized qualitatively, and then, they were compared with those of the substrates by using force modulation microscopy (FMM) and lateral force microscopy (LFM) modes. In addition, an elemental analysis of the samples was realized by means of energy dispersive spectroscopy (EDS). Both, XRD and AFM results are given as a function of the number of shots. Chemical states of the TiN and ZrN films were determined by X-ray photoelectron spectroscopy (XPS).     

离子交换法制备廉价而高效的可见光驱动CaMg(CO3)2@Ag2CO3微球光催化剂

Ag2CO3是一种典型的银基半导体,可在可见光照射下降解各种有机染料,但制备成本高,光腐蚀严重,稳定性差,难以循环利用等,因而限制了它的实际应用.针对这些问题,目前多数的改进措施是构建异质结,有效的分离光生电子与空穴来提高Ag2CO3的光催化性能.比如典型的异质结光催化剂有TiO2/Ag2CO3,Ag2CO3/ZnO,Ag2O/Ag2CO3和AgX/Ag2CO3等.也有在表面化学沉积,光化学还原Ag等贵金属形成等离子体等方式提高其光催化性能,但是很少通过特殊形貌控制以提高Ag2CO3的光催化性能.最近的研究表明,由于多尺度微球结构催化剂具有高效的光捕能力,同时具有比表面积大、易沉降,良好的物质传输能力和表面的渗透性,因而在液相光催化反应中具有明显的优势.因此,我们期望制备出一个多尺度微球结构Ag2CO3光催化剂.CaMg(CO3)2是一种具有微球结构的半导体,它与Ag2CO3有相同的阴离子结构,但是两者在水溶液中的溶解度相差较大,利用这个特性理论上可以将两个不同的半导体结合在一起,得到一种新型的复合微球.本文以CaMg(CO3)2微球为硬模板,通过简单的离子交换成功制备了粒径约为10μm的CaMg(CO3)2@Ag2CO3微球.利用X射线衍射、N2物理吸附、扫描电镜、傅里叶变换红外光谱和紫外-可见漫反射吸收光谱、光电流等手段对在不同反应时间与温度下制得的CaMg(CO3)2与Ag2CO3的复合物进行了表征.结果表明,在40°C下Ag+与Ca2+、Mg2+离子交换4 h后,得到了一种多尺度CaMg(CO3)2@Ag2CO3复合微球.此时,微球中Ag2CO3的含量约为2.56%.结果表明,这种具有多尺度结构的复合微球能够增强可见光的吸收.电化学阻抗测试和光电流测试表明,CaMg(CO3)2核的存在可以降低光生载流子的迁移阻力,进而促进光生电子与空穴的分离.在光降解酸性橙II的测试中,核壳结构的CaMg(CO3)2@Ag2CO3复合微球表现出了更高的催化活性,而且具有更好的循环使用性能.同时,相对于纯Ag2CO3光催化剂来说,CaMg(CO3)2@Ag2CO3复合微球制备的成本大幅度降低.ESR测试证明了·OH为CaMg(CO3)2@Ag2CO3复合微球光催化过程中的主要活性物质.     

Test of athermal terms of activity coefficient models by Monte Carlo simulation with hard-core models

The infinite dilution activity coefficients of exactly athermal fluids were calculated by Monte Carlo simulation with hard-core models. The hard-core models used in this work were hard-sphere and hard-spherocylinder models. The Widom test particle method was adopted to calculate the residual chemical potentials of solutes in pure solvent and in pure solute solutions. The infinite dilution activity coefficients of solutes were obtained from the residual chemical potentials of solutes. The infinite dilution activity coefficients calculated by Monte Carlo simulation were compared with those of athermal terms in activity coefficient equations. Staverman–Guggenheim equation overestimates the activity coefficients. The deviations of activity coefficients increase with increasing the hard-core volume of solute. Flory–Huggins equation based on molar volume gives good results for the hard-spherocylinder systems. Elbro-FV equation gives good results for both the hard-sphere and hard-spherocylinder systems.     

CdSe quantum dots decorated by mercaptosuccinic acid as fluorescence probe for Cu

Water-soluble CdSe quantum dots (QDs) were synthesized using mercaptosuccinic acid (MSA) as a stabilizer. The growth process and characterization of CdSe quantum dots were determined by transmission electron microscopy (TEM), X-ray diffraction (XRD), photoluminescence (PL) spectroscopy, Ultraviolet-visible (UV-vis) spectroscopy, and Fourier transform infrared (FT-IR) spectroscopy. Results demonstrated the MSA-capped CdSe QDs were highly crystalline and possessed good optical properties. Further, the resulting products could be used as fluorescent probes to detect Cu²⁺ ions in physiological buffer solution. The response was linearly proportional to the concentration of Cu²⁺ ion in the range 2×10⁻⁸- 3.5×10⁻⁷ mol L⁻¹ with a detection limit of 3.4 nmol L⁻¹.     

Preparation of a novel Ni/Co-based alloy gradient coating on surface of the crystallizer copper alloy by laser

A high wear-resistant gradient coating made of Ni/Co-based alloys on the surface of a Cu alloy substrate was synthesized using a YAG laser induced in situ reaction method. The coating consists of three layers: the first is a Ni-based alloy layer, the second and third are Co-based alloy layers. The microhardness increases gradually from 98 HV in the Cu alloy substrate to the highest level of 876 HV in the third layer. The main phase of the Co-based alloy layer is CoCr₂(Ni,O)₄, coexisting with the Fe₁₃Mo₂B₅, Cr(Co(Mo, and FeCr_0.29Ni_0.16C_0.06 phases. Wear tests indicate that the gradient coating has good bond strength and wear properties with a wear coefficient of 0.31 (0.50 for the Cu alloy substrate). Also, the wear loss of the coating is only 0.01 g after it has been abraded for 60 min, which is only one fifth of that of the Cu alloy of the crystallizer. Wear tests of the gradient coating reveal good adhesive friction and wear properties when sliding against steel under dry conditions. This novel technique may have good application to make an advanced coating on the surface of the Cu alloy crystallizer in a continuous casting process.     

Structural and mechanical properties of multi-element (TiVCrZrHf)N coatings by reactive magnetron sputtering

In this study, (TiVCrZrHf)N multi-component coatings with quinary metallic elements were deposited by reactive magnetron sputtering system. The composition, structure, and mechanical properties of the coatings deposited at different N₂ flow rates were investigated. The (TiVCrZrHf)N coatings deposited at N₂ flow rates of 0, 1, and 2 SCCM showed an amorphous structure, whereas those deposited at N₂ flow rates of 4 and 6 SCCM showed a simple face-centered cubic solid solution structure. A saturated nitride coating was obtained for N₂ flow of 4 SCCM and higher. By increasing N₂ flow to 4 SCCM, the hardness and modulus reached a maximum value of 23.8 ± 0.8 and 267.3 ± 4.0 GPa, respectively.     

Bounds on the Mass for the High Dimensional Gaussian Lattice Field between Two Hard Walls

We consider the d(≥3)-dimensional Gaussian lattice field confined between two hard walls. We show that the field becomes massive and identify the precise asymptotic behavior of the mass and the variance of the field as the height of the wall goes to infinity.     

Effect of oligonucleotide probes substituted by deoxyinosines on the specificity of SNP detection on the DNA microarray

One of the main factors that can affect the quality of microarray results is the microarray hybridization specificity. The key factor that affects hybridization specificity is the design of the probes. In this paper, we described a novel oligonucleotide probe containing deoxyinosines aimed at improving DNA hybridization specificity. We compared different probes to determine the distance between deoxyinosine base and SNPs site and the number of deoxyinosine bases. The new probe sequences contained two set of deoxyinosines (each set had two deoxyinosines), in which the interval between SNP site and each set of deoxyinosines was two bases. The new probes could obtain the highest hybridization specificity. The experimental results showed that probes containing deoxyinosines hybridized effectively to the perfectly matched target and improved the hybridization specificity of DNA microarray. By including a simple washing step after hybridization, these probes could distinguish matched targets from single‐base‐mismatched sequences perfectly. For the probes containing deoxyinosines, the fluorescence intensity of a match sequence was more than eight times stronger than that of a mismatch. However, the intensity ratio was only 1.3 times or less for the probes without deoxyinosines. Finally, using hybridization of the PCR product microarrays, we successfully genotyped SNP of 140 samples using these new labeled probes. Our results show that this is a useful new strategy for modifying oligonucleotide probes for use in DNA microarray analysis.     

Large amplitude oscillatory shear behavior of PEO-PPO-PEO triblock copolymer solutions

Rheological properties of poly(ethylene oxide)-poly(propylene oxide)-poly(ethylene oxide) (PEO-PPO-PEO) triblock copolymer solution in both linear and nonlinear regions have been investigated. PEO-PPO-PEO triblock copolymer solution shows a dramatic change in mechanical properties as temperature changes. PEO-PPO-PEO triblock copolymer undergoes a transition from sol to gel with increase of temperature. During this transition the copolymer solution passes through three different stages, namely sol, soft gel, and hard gel. In our previous research (Hyun et al. in J Non-Newtonian Fluid Mech 55:51–65, 2002), large amplitude oscillatory shear (LAOS) behavior was found to be very sensitive to the generated microstructures. In this study, we investigated the relationship between the LAOS type and the microdomain structure. Newtonian behavior is observed in sol region, while there appear two kinds of LAOS types in the soft gel region. One is type I (G′, G′′ decreasing) and the other is a combination of type I and type IV (G′, G′′ increasing followed by decreasing). Type III (G′ decreasing, G′′ increasing followed by decreasing) is observed in the hard gel region. We compared the shape of stress curves, Lissajous pattern, and Fourier transform (FT) rheology of hard gel and soft gel under LAOS, and tried to relate the complex LAOS behavior with the microstructural change. From these investigations, it was found that the LAOS behavior and the stress pattern at large strain are closely related to the microdomain structure of PEO-PPO-PEO triblock copolymer, and provide a lot of useful information on the microstructures induced by large deformation.