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Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

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The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
Imagine taking a large number of identical...
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VSEPR Theory and the Effect of Lone Pairs04:01

VSEPR Theory and the Effect of Lone Pairs

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Effect of Lone Pairs of Electrons on Molecule Geometry
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Predicting Molecular Geometry02:27

Predicting Molecular Geometry

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VSEPR Theory for Determination of Electron Pair Geometries
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Relative Stabilities of Alkenes01:59

Relative Stabilities of Alkenes

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The relative stability of alkenes can be determined by comparing their heats of hydrogenation. The lower heat of hydrogenation indicates the more stable alkene.  The three main factors determining the relative stability of alkenes are i) the number of substituents attached to the double-bond carbon atoms, ii) hyperconjugation, and iii) the stereochemistry of the double bond.
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Lenz's Law01:15

Lenz's Law

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The direction in which the induced emf drives the current around a wire loop can be found through the negative sign. However, it is usually easier to determine this direction with Lenz's law, named in honor of its discoverer, Heinrich Lenz (1804–1865). Lenz's law states that the direction of the induced emf drives the current around a wire loop always to oppose the change in magnetic flux that causes the emf.
If a bar magnet is moved toward a coil such that the magnetic flux...
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Reduced Mass Coordinates: Isolated Two-body Problem01:12

Reduced Mass Coordinates: Isolated Two-body Problem

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In classical mechanics, the two-body problem is one of the fundamental problems describing the motion of two interacting bodies under gravity or any other central force. When considering the motion of two bodies, one of the most important concepts is the reduced mass coordinates, a quantity that allows the two-body problem to be solved like a single-body problem. In these circumstances, it is assumed that a single body with reduced mass revolves around another body fixed in a position with an...
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Updated: Jul 24, 2025

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

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测试莱纳德-斯集群的最佳性

Michael K-H Kiessling1

  • 1Department of Mathematics Rutgers, The State University of New Jersey, 110 Frelinghuysen Rd., Piscataway, New Jersey 08854, USA.

The Journal of chemical physics
|July 6, 2023
PubMed
概括
此摘要是机器生成的。

对于集群能源来说,引入了最佳性的新必要条件. 这种简单的测试有助于识别非最佳配置,提高公布的集群能源数据的可靠性.

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Large-scale Reconstructions and Independent, Unbiased Clustering Based on Morphological Metrics to Classify Neurons in Selective Populations
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科学领域:

  • 计算物理学的计算物理.
  • 化学物理 化学物理
  • 材料科学是一种材料科学.

背景情况:

  • 确定最佳的集群配置和能量对于理解材料特性至关重要.
  • 计算集群能量的现有方法可能是计算密集的,并且可能产生非最佳的结果.
  • 牛顿的第三定律 (作用-反应) 支配了聚类中的单体间相互作用.

研究的目的:

  • 引入一个简单的,必要的条件来验证计算集群能量的最佳性.
  • 为在集群数据库中识别非最佳能量值提供实用测试.
  • 为了提高公布数据的可靠性,对集群的最低平均对能量.

主要方法:

  • 基于满足牛顿第三定律的对力来制定最佳性的必要条件.
  • 将此条件应用于列纳德-斯星团能量 (2 ≤ N ≤ 1610) 的综合数据集.
  • 通过测试公开可用的集群数据来经验验证条件的验证.

主要成果:

  • 一个简单的,必要的条件的最佳性成功地衍生和应用.
  • 该测试确定了447个粒子的莱纳德-斯星团的非最佳能量值.
  • 这种条件在计算上是廉价的,可以在优化搜索算法中实现.

结论:

  • 建议的必要条件是过非最佳集群能源数据的有用工具.
  • 实施此测试可以增加对公布集群能量最佳性的信心.
  • 这种方法提供了一种简单的方法来提高该领域科学数据的质量.