用于实时溅射深度测量的新型Grimm辉光放电光源的设计

采用辉光放电光谱仪进行物质表面深度分析时,样品溅射深度是重要的分析信息.本文设计了一种新型Grimm辉光放电光源,此光源与激光位移测距传感器构成的测昔系统可对样品溅射深度进行实时测量,并保证了良好的辉光溅射效果和分辨多层结构及界面的能力.采用激光三角测量技术,在辉光光谱分析的同时对溅射深度进行实时测量,能够有效地解决传统深度分析方法中步骤繁琐以及对深度估算不准确等问题.本光源采用光纤将辉光光谱信号从光源传至多道分光光电检测系统,在结构上首次实现了元素光谱信号和溅射深度信号的实时采集及基于时间的同步分析,对标准样品得到了理想的实时溅射深度测量曲线.本文详细介绍了此新型辉光放电光源的设计思路和工作原理.本辉光放电光源具有良好的深度分辨率,在30 mA,900 V,20 min的溅射条件下,对铁基和铜基样品的溅射速率分别约为10和55 nm·s-1,文中给出了样品的溅射坑表面形貌图和溅射坑显微照片.对中低合金钢标准样品进行了分析精密度实验,分析精度良好,其中C,Cu,Al,Ni,Mo,Mn,V元素相对标准偏差(RSD)均小于1.7%.Cr和Si元素RSD小于2.6%,给出了实测数据.     

A Neighborhood Union Condition for Fractional ID-[<Emphasis Type="Italic">a</Emphasis>, <Emphasis Type="Italic">b</Emphasis>]-factor-critical Graphs

Let a, b, r be nonnegative integers with \(1\leq{a}\leq{b}\) and \(r\geq2\). Let G be a graph of order n with \(n >\frac{(a+2b)(r(a+b)-2)}{b}\). In this paper, we prove that G is fractional ID-[a, b]-factor-critical if \(\delta(G)\geq\frac{bn}{a+2b}+a(r-1)\) and \(\mid N_{G}(x_{1}) \cup N_{G}(x_{2}) \cup \cdotp \cdotp \cdotp \cup N_{G}(x_{r})\mid\geq\frac{(a+b)n}{a+2b}\) for any independent subset {x₁, x₂, · · ·, x_r} in G. It is a generalization of Zhou et al.’s previous result [Discussiones Mathematicae Graph Theory, 36: 409–418 (2016)] in which r = 2 is discussed. Furthermore, we show that this result is best possible in some sense.     

关于平面树色和方程结果的一个注记

这篇文章得到了有根平面树的节点剖分的色和方程. 导出了带无限多个参数的有根平面植树和平面树的色和方程的精确表达式. 作为直接推论可推出节点剖分的有根平面树的计数方程的精确结果 .     

Simultaneous Determination of Nine Flavonoids in Dalbergia odorifera by LC

A rapid and accurate HPLC method has been developed for the simultaneous determination of nine major flavonoids, namely 3-hydroxymelanettin, melanettin, stevenin, butein, isoliquiritigenin, dalbergin, 2,4-dihydroxy-5-methoxybenzophenone, pinocembrin, 4-methoxydalbergione in Dalbergia odorifera. The samples were separated on an Aglient Zorbax SB-C₁₈ column (250 × 4.6 mm, 5 m) with a gradient of acetonitrile and 1% aqueous acetic acid (/) at a flow rate of 1.0 mL min^–1 and detected at 350 nm. The complete separation was obtained within 30 min for the nine target flavonoids. All calibration curves showed good linearity (r² > 0.999) within test ranges. The repeatability was evaluated by intra- and inter-day assays and RSD values were less than 4.0%. The recoveries were between 92.0% and 104.5%. The developed method was successfully applied to the analysis of 32 commercial samples of D. odorifera.     

Antimagic orientations of disconnected even regular graphs

A $labeling$ of a digraph $D$ with $m$ arcs is a bijection from the set of arcs of $D$ to $\{1,2,\dots ,m\}$. A labeling of $D$ is $antimagic$ if no two vertices in $D$ have the same vertex-sum, where the vertex-sum of a vertex $u\in V\left(D\right)$ for a labeling is the sum of labels of all arcs entering $u$ minus the sum of labels of all arcs leaving $u$. An orientation $D$ of a graph $G$ is $antimagic$ if $D$ has an antimagic labeling. Hefetz et al. (2010) raised the question: Does every graph admit an antimagic orientation? It had been proved that every 2$d$-regular graph with at most two odd components has an antimagic orientation. In this paper, we consider 2$d$-regular graphs with more than two odd components. We show that every 2$d$-regular graph with $k(3\le k\le 5d+4)$ odd components has an antimagic orientation. And we show that each 2$d$-regular graph with $k(k\ge 5d+5)$ odd components admits an antimagic orientation if each odd component has at least $2x_0+5$ vertices with $x_0=?\frac{k?(5d+4)}{2d?2}?$.     

On the Inertia Index of a Mixed Graph in Terms of the Matching Number

Acta Mathematicae Applicatae Sinica, English Series - A mixed graph $${\tilde G}$$ is obtained by orienting some edges of G, where G is the underlying graph of $${\tilde G}$$ . The positive inertia...     

Cycles embedding on folded hypercubes with faulty nodes

Let F_Fv$F{F}_v$ be the set of faulty nodes in an n$n$-dimensional folded hypercube F_Qn$F{Q}_n$ with |F_Fv|≤n−2$\left|F{F}_v\right|\le n-2$. In this paper, we show that if n≥3$n\ge 3$, then every edge of F_Qn−F_Fv$F{Q}_n-F{F}_v$ lies on a fault-free cycle of every even length from 4$4$ to 2ⁿ−2|F_Fv|$2^n-2\left|F{F}_v\right|$, and if n≥2$n\ge 2$ and n$n$ is even, then every edge of F_Qn−F_Fv$F{Q}_n-F{F}_v$ lies on a fault-free cycle of every odd length from n+1$n+1$ to 2ⁿ−2|F_Fv|−1$2^n-2\left|F{F}_v\right|-1$.     

New exact solutions to the generalized Burgers-Huxley equation

Based on He’s Exp-function method, a series of new exact solutions of the generalized Burger-Huxley equation have been obtained. It is shown that the Exp-function method is straightforward and concise, and its applications are promising.     

利用扫描仪进行光谱相板谱线的波长定位

本文提出一种进行光谱相板谱线波长定位的新方法，以Visual C 6.0为设计平台，利用扫描仪实现相板光谱的波长定位。     

噻吩并噻吩的合成研究

噻吩并噻吩自1886年以来一直是化学研究的对象, 综述了经典稠合噻吩并噻吩的合成方法. 对一般的合成方法及原始地制备某一类特定化合物的方法都作了简要讨论.