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Structure and Polarizability of Small (GaAs)n Clusters (n= 2, 3, 4, 5, 6, and 8) 小(GaAs)n簇(n= 2、3、4、5、6和8)的结构和极化率
Pub Date : 2006-03-06 DOI: 10.1163/157404006779194088
P. Karamanis, D. Bégué, C. Pouchan
We studied the structure and polarizability of small stoichiometric gallium arsenide clusters (GaAs)n (n= 2, 3, 4, 5, 6 and 8) with conventional ab-initio and density functional methods relying on correlation consistent large-core relativistic pseudo potential basis set. Our results show that computations based on those basis sets yield reasonable results compared to all electron basis sets and the polarizability/atom of small gallium arsenide clusters up to the octamer, is predicted to be larger than the Clausius-Mosotti bulk value.
基于相关一致的大核相对论伪势基集,利用传统的从头算和密度泛函方法研究了n (n= 2、3、4、5、6和8)小化学计量砷化镓簇(GaAs)的结构和极化率。我们的结果表明,与所有电子基集相比,基于这些基集的计算得到了合理的结果,并且预测到八聚体的小砷化镓团簇的极化率/原子大于Clausius-Mosotti体积值。
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引用次数: 5
Investigations of Nonlinear Forces in Metal Cutting 金属切削非线性力的研究
Pub Date : 2006-03-06 DOI: 10.1163/157404006777491945
E. Stone, A. Askari, H. Tat
During chatter in metal cutting the tool vibration would cause a variation in "effective" rake angle of the cutter, generating a force variation that depends on penetration rate: a kind of process damping. This effect is examined for forces computed both from a theoretical Merchant-type model, and from a numerical database of forces for metal cutting constructed from a suite of AdvantEdge simulations. Since the tool can potential vibrate at any angle relative to the workpiece, the forces for varying angle of vibration were computed, and the dynamic stability consequences considered. It is found that the two models lead to similar forces for varying vibration angle, at least through first order. Depending on the vibration angle the force will either increase or decrease with both chip load and penetration rate, reflecting the difference in the effect on the chipload and cutting speed with varying vibration direction. Second order terms in penetration rate were different in the two formulations, possibly a result of approximations used in the calculations involved in the Merchant formulation. Dynamically this means that the linear stability of each vibration angle is the similar for the two models, while the differences in nonlinear terms results in differences in the type Hopf bifurcation observed upon loss of stability.
在金属切削颤振过程中,刀具的振动会引起刀具“有效”前倾角的变化,从而产生一种取决于贯入速度的力变化:一种过程阻尼。通过理论Merchant-type模型和AdvantEdge模拟软件构建的金属切削力数值数据库计算的力,对这种效应进行了检验。由于刀具可以在与工件的任意角度发生潜在振动,因此计算了不同振动角度下的力,并考虑了动态稳定性的影响。结果表明,对于不同的振动角,两种模型得到的力是相似的,至少在一阶范围内是如此。根据振动角度的不同,力随切屑载荷和切削速度的增大或减小,反映了不同振动方向对切屑载荷和切削速度的影响差异。在两个公式中,渗透率的二阶项是不同的,可能是在Merchant公式中所涉及的计算中所使用的近似值的结果。在动力学上,这意味着两个模型的每个振动角的线性稳定性是相似的,而非线性项的差异导致在失稳时观察到的Hopf分岔类型不同。
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引用次数: 2
Geometry Optimization of ZnnCdm and (AlTiNi)n Clusters by the Modified Diffusion Monte Carlo Method 基于改进扩散蒙特卡罗方法的ZnnCdm和(AlTiNi)n簇的几何优化
Pub Date : 2006-03-06 DOI: 10.1163/157404006779194114
N. Dugan, S. Erkoç
General information about the problem of determining ground-state geometries of atomic clusters has been given. Modified diffusion Monte Carlo (MDMC) method which was recently developed for this problem has been reviewed. A technique, called the rotation operation, has been proposed to escape from local minima. Information about empirical potential energy functions, used in the computations, has been given. Binding energy results for ZnnCdm and (AlTiNi)n clusters obtained by the combination of the MDMC method and the rotation operation have been presented and these results have been compared with the molecular dynamics (MD) results. Efficiency of the method has been investigated by comparing the results and the computation times with the results of the single walker MDMC method - rotation operation combination.
给出了确定原子团簇基态几何问题的一般信息。本文综述了近年来针对该问题发展起来的改进扩散蒙特卡罗(MDMC)方法。一种称为旋转操作的技术已经被提出以摆脱局部极小值。给出了计算中使用的经验势能函数的信息。本文给出了结合MDMC方法和旋转操作得到的ZnnCdm和(AlTiNi)n簇的结合能结果,并与分子动力学(MD)结果进行了比较。通过与单步行者MDMC方法-旋转操作组合的计算结果和计算次数的比较,考察了该方法的效率。
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引用次数: 3
An analysis of discretisations of inverse diffusion equations 反扩散方程的离散分析
Pub Date : 2006-03-06 DOI: 10.1163/157404006778330861
M. Breuß
We discuss some important issues arising when approximating numerically stabilised inverse diffusion processes. We prove rigorously the necessity of a minmod-type stabilisation. Furthermore, we give rigorously verified assertions concerning the occurence of undesirable staircasing aka terracing artefacts. The theoretical results are supplemented by numerical tests.
我们讨论了当近似数值稳定的逆扩散过程时出现的一些重要问题。我们严格地证明了最小模型稳定的必要性。此外,我们给出了严格验证的断言关于不受欢迎的楼梯或梯田文物的发生。数值试验补充了理论结果。
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引用次数: 4
Understanding Normal Modes of Molecules and Clusters 理解分子和团簇的正常模式
Pub Date : 2006-03-06 DOI: 10.1163/157404006779194178
W. Hug
Traditional methods for characterizing molecular vibrations were developed for small molecules and are not well suited for understanding nuclear motions of large molecules and of clusters. We present a procedure based on representing normal modes, including translations and rotations, as vectors in 3N dimensional space, where N is the number of nuclei. Double-contracting dyads formed from them allows for a quantitative definition of the overlap and the similarity of nuclear motions of whole molecules, of clusters of molecules, and of arbitrary fragments.
表征分子振动的传统方法是针对小分子开发的,并不适合于理解大分子和团簇的核运动。我们提出了一个基于表示正常模式的过程,包括平移和旋转,作为3N维空间中的向量,其中N是原子核的数量。由它们形成的双缩二分体允许对整个分子、分子簇和任意片段的核运动的重叠和相似性进行定量定义。
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引用次数: 1
Theoretical Design of Optical Switches Using the Spin Transition Phenomenon 利用自旋跃迁现象的光开关理论设计
Pub Date : 2006-03-06 DOI: 10.1163/157404006779194150
J. Henriksson, Susanna Nyrell, P. Norman
The spin characteristics of octahedrically coordinated Fe(II) compounds are determined from first-principles quantum chemical calculations. Four novel Fe(II) spin transition materials are suggested ...
利用第一性原理量子化学计算确定了八面配位铁(II)化合物的自旋特性。提出了四种新型Fe(II)自旋过渡材料。
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引用次数: 2
Invited Paper: Theoretical Studies on Molecular Recognition and Self-Assembly 特邀论文:分子识别与自组装的理论研究
Pub Date : 2006-03-06 DOI: 10.1163/157404006779194169
Sunwoo Kang, Shihai Yan, J. Lee
Supramolecular chemistry now has become a central part of the research activities. Basically, it mostly concerns molecular recognition and self aggregation by non-covalent weak intermolecular interactions, such as hydrogen bonding, π-π stacking, and van der Waals interactions. The computational applications on such large systems are limited for their structural complexity. Several examples of the computational approaches to understand molecular recognition and self-aggregation are discussed. Firstly, bifunctional (fluorescence and visible light absorption) anion sensing mechanism is supported by the DFT calculations. Secondly, an experimentally observed selective recognition of Cu2+ by an azobenzene-appended receptor, which can exhibit Cu2+ selectivity by color change, is discussed based on computational approach. Finally, the intermolecular interaction, which is useful for predicting the self-assembled structures, can be understood by replicating the monomer unit and manipulating the translation and rotation.
目前,超分子化学已成为研究活动的核心部分。基本上,它主要关注非共价弱分子间相互作用的分子识别和自聚集,如氢键、π-π堆叠和范德华相互作用。这种大型系统的计算应用由于其结构复杂性而受到限制。讨论了几个计算方法来理解分子识别和自聚集的例子。首先,DFT计算支持了双功能(荧光和可见光吸收)阴离子传感机制。其次,基于计算方法讨论了偶氮苯附加受体对Cu2+的选择性识别,该受体可以通过颜色变化表现出Cu2+的选择性。最后,分子间相互作用可以通过复制单体单元和操纵平移和旋转来理解,这有助于预测自组装结构。
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引用次数: 1
Theoretical Modeling of the N-H and N-D Stretching Bands of Hydrogen-Bonded 1-Methylthymine Crystal and Its Deuterated Form 氢键1-甲基胸腺胺晶体及其氘化形态的N-H和N-D伸展带的理论建模
Pub Date : 2006-03-06 DOI: 10.1163/157404006779194141
M. Boczar, Łukasz Boda, M. Wójcik
Theoretical model for vibrational interactions in the hydrogen bonds in molecular crystals with four molecules forming two centrosymmetric dimers in the unit cell is presented. The model takes into account anharmonic-type couplings between the high-frequency N-H(D) and the low-frequency N…O stretching vibrations in each hydrogen bond, resonance interactions (Davydov coupling) between equivalent hydrogen bonds in each dimer, resonance interdimer interactions within an unit cell and Fermi resonance between the N-H(D) stretching fundamental and the first overtone of the N-H(D) in-plane bending vibrations. The vibrational Hamiltonian, selection rules, and expressions for the integral properties of an absorption spectrum are derived. The model is used for theoretical simulation of the νs stretching bands of 1-methylthymine and its ND derivative at 300 K. The effect of deuteration is successfully reproduced by our model.
提出了四分子在单晶中形成两个中心对称二聚体的分子晶体中氢键振动相互作用的理论模型。该模型考虑了每个氢键中高频N- h (D)和低频N…O拉伸振动之间的非谐型耦合,每个二聚体中等效氢键之间的共振相互作用(Davydov耦合),单元胞内共振二聚体之间的相互作用以及N- h (D)拉伸基频和N- h (D)平面弯曲振动的第一泛音之间的费米共振。导出了振动哈密顿量、选择规则和吸收光谱积分性质的表达式。利用该模型对1-甲基胸腺嘧啶及其ND衍生物在300 K下的νs拉伸带进行了理论模拟。我们的模型成功地再现了氘化的效应。
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引用次数: 0
An algorithm for optical flow computation based on a quasi-interpolant operator 基于准插值算子的光流计算算法
Pub Date : 2006-03-06 DOI: 10.1163/157404006777491954
E. Francomano, C. Lodato, S. Lopes, A. Tortorici
A fundamental problem in the processing of image sequences is the computation of the velocity field of the apparent motion of brightness patterns usually referred to optical flow. In this paper a novel optical flow estimator based on a bivariate quasi-interpolant operator is presented. Namely, a non linear minimizing technique has been employed to compute the velocity vectors by modeling the flow field with a 2D quasi-interpolant operator based on centered cardinal B-spline functions. In this way an efficient computational scheme for optical flow estimate is provided. In addition the large solving linear systems involved in the process are sparse. Experiments on several image sequences have been carried out in order to investigate the performance of the optical flow estimator.
图像序列处理中的一个基本问题是通常称为光流的亮度模式的视运动速度场的计算。本文提出了一种基于二元拟插值算子的光流估计方法。即利用基于中心基数b样条函数的二维拟插值算子对流场进行建模,采用非线性最小化技术计算速度矢量。从而为光流估计提供了一种有效的计算方案。此外,该过程中涉及的大型求解线性系统是稀疏的。为了研究光流估计器的性能,在多个图像序列上进行了实验。
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引用次数: 5
Rules for Migrating from Entity Relationship (ER) Diagrams to Object Relationship (OR) Diagrams 从实体关系图迁移到对象关系图的规则
Pub Date : 2006-03-06 DOI: 10.1163/157404006779194123
S. Bagui
In this paper, we provide detailed mapping rules (a methodology) to convert an ER schema into an object relationship (OR) schema. The mapping rules are presented in a manner that will keep as much of the semantics of the database intact, in order to smoothen the important step of data migration from an ER schema to an OR schema. This OR schema should also serve as a conceptual design tool for object-oriented data models, very much like the ER diagrams are a conceptual design tool for relational databases. Since we are mainly discussing the conversion from an ER model to an OR model, we are limiting the discussion in this paper to the structural aspects of the OR model.
在本文中,我们提供了将ER模式转换为对象关系模式的详细映射规则(一种方法)。映射规则以一种尽可能保持数据库语义完整的方式呈现,以便使数据从ER模式迁移到OR模式这一重要步骤更加顺利。这个OR模式还应该作为面向对象数据模型的概念设计工具,就像ER图是关系数据库的概念设计工具一样。由于我们主要讨论从ER模型到OR模型的转换,因此我们将本文的讨论限制在OR模型的结构方面。
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引用次数: 1
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Soft Computing Letters
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