Co,N共掺杂锐钛矿相TiO2电子结构和光学性质的第一性原理研究

二氧化钛（TiO₂）作为一种性能优良的光催化剂已经被广泛地研究和使用.本研究中利用了第一性原理和GGA+U方法,对锐钛矿结构TiO₂晶体三种可能的（Co,N）共掺杂体系的几何结构、形成能、电子结构和光吸收系数进行了研究,并与单掺杂（Co/N）体系进行了对比.结果表明,在三种共掺杂TiO₂中,Co与N相邻时晶格畸变最小,但掺杂原子周围晶格畸变较大;同时,较低的形成能表明此种共掺杂结构最容易形成;此外,因为C0与N成键,其杂质能级的数目与能量较其他共掺杂结构有较大差异.（Co,N）共掺杂体系与未掺杂TiO₂的相比,其禁带宽度较小,禁带中存在杂质能级,因此其吸收边红移,在可见光波段有较好的光吸收能力.故（Co,N）共掺杂可以很好地提升锐钛矿型TiO₂在可见光波段的光催化性能.     

(Cu,N)共掺杂TiO2/MoS2异质结的电子和光学性能:杂化泛函HSE06

在密度泛函理论的基础上,系统地研究了Cu/N（共）掺杂的TiO₂/MoS₂异质结体系的几何结构、电子结构和光学性质.计算发现,TiO₂/MoS₂异质结的带隙相比于纯的TiO₂（101）表面明显变小,Cu/N（共）掺杂TiO₂/MoS₂异质结体系的禁带宽度也明显地减小,这导致光子激发能量的降低和光吸收能力的提高.通过计算Cu/N（共）掺杂TiO₂/MoS₂的差分电荷密度,发现光生电子与空穴积累在掺杂后的TiO₂（101）表面和单层MoS₂之间,这表明掺杂杂质体系可以有效地抑制光生电子-空穴对的复合.此外,我们计算了在不同压力下TiO₂/MoS₂异质结的几何、电子和光学性质,发现适当增加压力可以有效提高异质结的光吸收性能.本文结果表明,Cu/N（共）掺杂TiO₂/MoS₂异质结和对TiO₂/MoS₂异质结加压都能有效地提高材料的光学性能.     

第一性原理研究Eu/N共掺杂锐钛矿TiO2光催化剂的电子和光学性质

基于密度泛函理论的第一性原理平面波赝势方法, 运用Vasp方法计算了Eu, N掺杂及Eu/N共掺杂锐钛矿TiO₂的结构, 并分析了其电子及光学性质. 通过计算发现有一些Eu的4f态电子在Eu掺杂锐钛矿TiO₂的体系的费米能级附近出现杂质能级, 并且N掺杂会使得锐钛矿TiO₂的禁带宽度减小. 对于共掺杂体系而言, Eu/N共掺杂的协同效应能导致锐钛矿TiO₂的晶格畸变及禁带宽度减小. 与此同时, 计算得到的光吸收谱表明Eu/N混合掺杂锐钛矿TiO₂展现出了明显的光谱吸收边缘红移. 这些计算结果表明Eu/N共掺杂锐钛矿TiO₂具有优良的光催化活性. 关键词： 2')" href="#">TiO₂ 共掺杂 可见光催化剂 密度泛函理论     

La-Ce共掺杂锐钛矿TiO2的缺陷形成能和电子结构分析

采用基于密度泛函的第一性原理研究了稀土元素La、Ce共掺杂锐钛矿相TiO₂的缺陷形成能,缺陷电荷转变能级以及电子结构.研究发现,富氧状态下La、Ce掺杂以及La-Ce共掺的缺陷形成能均为负值,而贫氧状态下La、Ce掺杂形成能为正,表明La、Ce的掺杂TiO₂只能在氧气氛制备条件下进行;替代Ti掺杂缺陷电荷转变能级计算结果表明:0/1-的缺陷电荷转变能级分别位于VBM上面0.522 eV及2.440 eV处;与纯锐钛矿相TiO₂相比,La、Ce单掺杂以及La-Ce共掺杂均能减小TiO₂的禁带宽度,但共掺杂体系的禁带宽度更窄,因此共掺杂体系将更有利于提高TiO₂对可见光的响应能力和光催化性能.     

N/Fe共掺杂锐钛矿TiO2(101)面协同作用的第一性原理研究

基于周期性密度泛函理论研究了N/Fe共掺杂对锐钛矿TiO₂(101)面的修饰作用. 计算了铁替位单掺杂TiO₂(101)面及晶体内部后, 晶体结构变化及形成能. 通过形成能的比较发现, Fe从晶体表面向体内迁移时受到势垒阻碍作用. 同时, 对不同位置表面N/Fe近邻共掺杂晶体形成能的比较, 得出了表面共掺杂的最稳定结构. 通过对电子结构及态密度的分析发现: 表面共掺杂态中, N/Fe共掺杂可改变TiO₂(101)面的电子结构, 并使TiO₂由半导体性向半金属性转变. 关键词： 2(101)面')" href="#">锐钛矿TiO₂(101)面 N/Fe共掺杂 第一性原理 半金属性     

Mn,N共掺杂对锐钛矿相TiO2微观结构和性能的影响

采用第一性原理平面波超软赝势方法,系统研究了Mn,N共掺杂对锐钛矿相TiO₂的晶体结构、缺陷形成能、电子结构、光学性质以及氧化还原能力的影响.研究表明:Mn,N共掺杂锐钛矿相TiO₂后,TiO₂晶格发生了畸变,导致晶体八面体偶极矩增加,有利于光生电子-空穴对的有效分离;在TiO₂带隙中出现了杂质能级,使锐钛矿相TiO₂的光学吸收带边红移,可见光区的吸收系数明显增大,有利于光催化效率的提高;在不考虑 关键词： 2')" href="#">锐钛矿相TiO₂ 第一性原理 Mn和N共掺杂 光催化性能     

锐钛矿相和金红石相TiO2:Nb的光电性能研究

采用基于密度泛函理论的第一性原理计算了锐钛矿相和金红石相TiO₂:Nb的晶体结构、电子结构和光学性质. 结果表明, 在相等的摩尔掺杂浓度下(6.25%), 锐钛矿相TiO₂:Nb的导带底电子有效质量小于金红石相TiO₂:Nb, 且前者室温载流子浓度是后者的两倍左右, 即具有更大的施主杂质电离率, 从而解释了锐钛矿相TiO₂:Nb比金红石相TiO₂:Nb具有更优异电学性能的实验现象. 光学计算也表明锐钛矿相在可见光区有更大的透过率, 从而在理论上解释了锐钛矿相TiO₂:Nb比金红石相TiO₂:Nb更适于做透明导电材料的原因. 计算结果与实验数据能较好符合. 关键词： 2:Nb')" href="#">TiO₂:Nb 第一性原理 电子结构 光学性能     

N掺杂和N-V共掺杂锐钛矿相TiO2的第一性原理研究

采用基于密度泛函理论的投影缀加平面波方法和广义梯度近似加Hubbard参数的似近,研究了锐钛矿相TiO₂,N掺杂TiO₂和N-V共掺杂TiO₂体系的基态原子构型、电子结构.结果表明,N掺杂后,其晶胞体积比末掺杂时要略微增大,基态构型并未发生明显变化,而N-V共掺杂时,对称性被破坏,V原子向N原子附近靠近.计算得到的锐钛矿相TiO₂带隙E_gap为3.256 eV,与实验值3.23 eV非常接近.N掺杂TiO₂带隙降低了0.4 eV,而N-V共掺杂带隙降低至2.555 eV.此外,N-V共掺杂会在价带顶和导带底之间形成受主和施主能级,这种能级对光生电子-空穴对的分离是非常有利的,降低了再次复合的概率.因此,N-V共掺杂TiO₂可以有效地提升TiO₂作为光催化剂的催化能力.     

N/Cu共掺杂锐钛矿型TiO2第一性原理研究

基于密度泛函理论的第一性原理平面波超软赝势法, 采用局域自旋密度近似加Hubbard U值方法研究了纯锐钛矿型TiO₂, N, Cu单掺杂TiO₂及N/Cu共掺杂TiO₂ 的晶体结构、电子结构和光学性质. 研究结果表明, 掺杂后晶格发生相应畸变, 晶格常数变大. N 和Cu的掺杂在TiO₂禁带中引入杂质能级, 禁带宽度发生相应改变. 对于N掺杂TiO₂禁带宽度减小较弱, 而Cu掺杂和N/Cu共掺TiO₂禁带宽度显著降低, 导致吸收光谱明显红移, 光学催化性增强, 有利于实际应用.     

溅射制备Ge,Nb共掺杂窄光学带隙和低电阻率的TiO2薄膜

采用射频磁控溅射技术制备了Ge,Nb共掺杂的锐钛矿结构TiO₂薄膜,详细探讨了薄膜的结构、电阻率及光学带隙等性质随Ge,Nb掺杂量、溅射功率和热处理温度等参数的变化,发现Ge,Nb共掺杂可以同时调节TiO₂薄膜的光学带隙和电阻率.体积分数约为6%Nb和20%Ge的共掺杂TiO₂薄膜电阻率由10⁴Ω/cm减小至10^-1Ω/cm,光学带隙由3.2 eV减小至1.9 eV.退火后掺杂TiO₂薄膜不仅显示更低的电阻率,还表现出更强的可见-红外光吸收.结果表明,改变Ge,Nb的掺杂量和退火条件能够制备出电阻率和带隙都可调的TiO₂薄膜.     

Geometry and Elasticity of Strips and Flowers

We solve several problems that involve imposing metrics on surfaces. The problem of a strip with a linear metric gradient is formulated in terms of a Lagrangian similar to those used for spin systems. We are able to show that the low energy state of long strips is a twisted helical state like a telephone cord. We then extend the techniques used in this solution to two–dimensional sheets with more general metrics. We find evolution equations and show that when they are not singular, a surface is determined by knowledge of its metric, and the shape of the surface along one line. Finally, we provide numerical evidence by minimizing a suitable energy functional that once these evolution equations become singular, either the surface is not differentiable, or else the metric deviates from the target metric.     

Polarity of the Medium and Quenching of Fluorescence of Caratenoids and Phthalimides

The relation for the dependence of the rate of radiationless energy conversion of the S ₁ state k _q on the polarity of the medium, obtained previously by the author, has been used to interpret the known literature data on the lifetime of the S ₁ state of solutions of some caratenoids and phthalimides. It has been shown that in alcohols and water (normal and deuterated ones) the fluorescence quenching of 4-amino-, 4-methylamino-, and 4-dimethylamino-N-methylphthalimides (4AMP, 4MAMP, and 4DMAMP) as well as of peridinine in alcohols is due to H-bond formation. It has been established that a twofold increase in the number of amine atoms of hydrogen on passing from 4MAMP to 4AMP, as well as deuteration of solvents in the case of 4DMAMP, is followed by a decrease in k _q by a factor of 1.6 and 1.75, respectively. The mechanism of quenching in complexes formed with solvent molecules by means of the H-bond is discussed. It has been concluded that the quenching of fluorescence of phthalimides in such complexes is mainly due to the intersystem crossing initiated by the oscillations of the protons or deuterons of the H-bonds.     

单链核糖体失活蛋白的Raman和红外光谱

我们测定了两种单链核糖体失活蛋白(肥皂草素和天花粉蛋白)的FTIR和FTRaman光谱。利用FTIR光谱酰胺Ⅲ区域对蛋白质的二级结构进行定量分析,计算了各种二级结构的含量。从肥皂草素和天花粉蛋白的二级结构分析可见,二者在结构上具有某种相似性,为二者功能上的相似性提供了依据。     

Infrared Spectra and Configuration of Anion Radical and Dianion of Benzil and Benzil-18o

Abstract

Infrared spectra of the products of one- and two -step reduction of both benzil and benzil-¹⁸0 have been investigated in dimethylsulfoxide-d₆ and tetrahydrofurane solutions. Anion-radicals have been obtained by electrochemical reduction of benzil and benzil-¹⁸0; dinegative ions have been prepared by reduction of the same ketones with potassium mirror in vacuo. The band assignment has been performed using the group vibrational concept and isotopic shift data. The previous assignment of the C[dbnd]O stretching band of benzil anion-radical-has been discussed and corrected. Two bands in the infrared spectra of benzil dianion have been found to be sensitive upon ¹⁸0 isotope labelling. This result certifies the presence of cis-configuration of benzil dianion in the investigated solutions. A decrease of ca. 290 cm-¹ has been found for vC[dbnd]O after the transformation of the neutral benzil into an anion-radical. Conversion of benzil anion-radical into dianion has been accompanied by an additional vC[dbnd]O downward shift of 105 cm^?1     

Equation of state and thermal expansivity of LiF and NaF

The high-pressure and high-temperature behaviors of LiF and NaF have been studied up to 37 GPa and 1000 K. No phase transformations have been observed for LiF up to the maximum pressure reached. The B1 to B2 transition of NaF at room temperature was observed at ～28 GPa, this transition pressure decreases with temperature. Unit-cell volumes of LiF and NaF B1 phase measured at various pressures and temperatures were fitted using a P–V–T Birch–Murnaghan equation of state. For LiF, the determined parameters are: α₀ = 1.05 (3)×10^?4 K^?1, dK/dT = ?0.025 (2) GPa/K, V ₀ = 65.7 (1) Å³, K ₀ = 73 (2) GPa, and K′ = 3.9 (2). For NaF, α₀ = 1.34 (4)×10^?4 K^?1, dK/dT = ?0.020 (1) GPa/K, V ₀ = 100.2 (2) Å³, K ₀ = 46 (1) GPa, and K′ = 4.5 (1).     

受控核聚变两大途径的对比与结合

目前人们探索受控核聚变主要是从两个方向着手：磁约束受控核聚变和惯性约束受控核聚变，但目前还无法判定到底哪一种途径更为可取，文章首先对这两种途径进行对比，指出各自的特点和困难，在此基础上提出了一种结构相对简单，成本相对较低的三轴六极磁镜系统设想，希望能将磁约束和惯性约束和惯性约束结合起来，以实现受控核聚变反应。     

黑克、布劳、及伯曼-温采尔代数的诱导及分导系数和量子经典李代数的耦合与重新耦合系数

本文总结了计算黑克、布劳、及伯曼 温采尔代数在各种工数链下诱导及分导系数的线性方程方法(LEM)。特别强调了关于A,B,C,D型李代数及其量子情形与其中心代数之间的舒尔 魏尔 布劳双关性关系。这一关系使我们能够利用相应中心代数的诱导及分导系数计算出经典李代数及其量子情形的耦合与重新耦合系数。讨论了从该方法得到B,C,D型李代数不可约表示克罗内克积分解的应用。基于LEM还得到了处理对应于置换群CG系列问题的黑克代数张量积的方法。     

Geometry and scaling laws of excursion and iso-sets of enstrophy and dissipation in isotropic turbulence

Motivated by interest in the geometry of high intensity events of turbulent flows, we examine the spatial correlation functions of sets where turbulent events are particularly intense. These sets are defined using indicator functions on excursion and iso-value sets. Their geometric scaling properties are analysed by examining possible power-law decay of their radial correlation function. We apply the analysis to enstrophy, dissipation and velocity gradient invariants Q and R and their joint spatial distributions, using data from a direct numerical simulation of isotropic turbulence at Re_λ ≈ 430. While no fractal scaling is found in the inertial range using box-counting in the finite Reynolds number flow considered here, power-law scaling in the inertial range is found in the radial correlation functions. Thus, a geometric characterisation in terms of these sets’ correlation dimension is possible. Strong dependence on the enstrophy and dissipation threshold is found, consistent with multifractal behaviour. Nevertheless, the lack of scaling of the box-counting analysis precludes direct quantitative comparisons with earlier work based on multifractal formalism. Surprising trends, such as a lower correlation dimension for strong dissipation events compared to strong enstrophy events, are observed and interpreted in terms of spatial coherence of vortices in the flow.     

酸碱染料离子的缔合及等色化

本文阐述了等色染料离子对形成的实验方法,等色染料离子对的缔全机理及其形式,用吸收光谱的能级图,从电子理论角度论述了等色染料离子对的缔合效应等色化,溶剂效应等以化机理。列表示出等色染料离子对的高灵敏度,从而证明了等色染料离子对的萃取光度,浮选光度及萃取荧光光度法是高灵敏度和超灵敏度的新体系,为金属痕量和超痕量分析开辟了更为宽广的前景。     

Kinetics and mechanism of the reaction of alkoxymethylidene malonate and malononitrile with hydrazines and anilines

The kinetics and mechanism of the nucleophilic vinylic substitution of dialkyl (alkoxymethylidene)malonates (alkyl: methyl, ethyl) and (ethoxymethylidene)malononitrile with substituted hydrazines and anilines R¹–NH₂ (R¹: (CH₃)₂N, CH₃NH, NH₂, C₆H₅NH, CH₃CONH, 4‐CH₃C₆H₄SO₂NH, 3‐ and 4‐X‐C₆H₄; X: H, 4‐Br, 4‐CH₃, 4‐CH₃O, 3‐Cl) were studied at 25 °C in methanol. It was found that the reactions with all hydrazines (the only exception was the reaction of (ethoxymethylidene)malononitrile with N,N‐dimethylhydrazine) showed overall second‐order kinetics and k_obs were linearly dependent on the hydrazine concentration which is consistent with the rate‐limiting attack of the hydrazine on the double bond of the substrate. Corresponding Brønsted plots are linear (without deviating N‐methyl and N,N‐dimethylhydrazine), and their slopes (β_Nuc) gradually increase from 0.59 to 0.71 which reflects gradually increasing order of the C–N bond formed in the transition state. The deviation of both methylated hydrazines is probably caused by the different site of nucleophilicity/basicity in these compounds (tertiary/secondary vs. primary nitrogen). A somewhat different situation was observed with the anilines (and once with N,N‐dimethylhydrazine) where parabolic dependences of the kinetics gradually changing to linear dependences as the concentration of nucleophile/base increases. The second‐order term in the nucleophile indicates the presence of a steady‐state intermediate ‐ most probably T^±. Brønsted and Hammett plots gave β_Nuc = 1.08 and ρ = ?3.7 which is consistent with a late transition state whose structure resembles T^±. Copyright © 2013 John Wiley & Sons, Ltd.