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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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Trends in Lattice Energy: Ion Size and Charge02:54

Trends in Lattice Energy: Ion Size and Charge

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An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
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Accuracy, limits, and approximation01:28

Accuracy, limits, and approximation

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Accuracy, limits, and approximations are common in many fields, especially in engineering calculations. These concepts are imperative for ensuring that a given value is as close as possible to its true value.
Accuracy is defined as the closeness of the measured value to the true or actual value. In engineering mechanics, repeated measurements are taken during theoretical or experimental analyses to ensure that the result is precise and accurate.
The accuracy of any solution is based on the...
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Structures of Solids02:22

Structures of Solids

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Solids in which the atoms, ions, or molecules are arranged in a definite repeating pattern are known as crystalline solids. Metals and ionic compounds typically form ordered, crystalline solids. A crystalline solid has a precise melting temperature because each atom or molecule of the same type is held in place with the same forces or energy. Amorphous solids or non-crystalline solids (or, sometimes, glasses) which lack an ordered internal structure and are randomly arranged. Substances that...
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Bewley Lattice Diagram01:12

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The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.
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Estimation of the Physical Quantities01:05

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On many occasions, physicists, other scientists, and engineers need to make estimates of a particular quantity. These are sometimes referred to as guesstimates, order-of-magnitude approximations, back-of-the-envelope calculations, or Fermi calculations. The physicist Enrico Fermi was famous for his ability to estimate various kinds of data with surprising precision. Estimating does not mean guessing a number or a formula at random. Instead, estimation means using prior experience and sound...
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估计格子相似性的近似值.

Lawrence C Andrews1, Herbert J Bernstein2, Nicholas K Sauter3

  • 1Ronin Institute, 9515 NE 137th Street, Kirkland, WA 98034-1820, USA.

Acta crystallographica. Section A, Foundations and advances
|July 24, 2023
PubMed
概括
此摘要是机器生成的。

一种新的方法选择了晶体单元细胞,以确保与参考细胞的最大相似性. 这种方法适应了不同晶体结构的细胞参数和晶格中心的变化.

关键词:
德劳内 (Delaunay) 的意思是"德劳内 (Delaunay).德洛恩德洛恩是一个很棒的球员.尼格里尼格里尼格里尼格里尼格里尼销售 销售 销售 销售格子匹配的格子匹配

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科学领域:

  • 晶体学 晶体学是指结晶学.
  • 材料科学 材料科学 材料科学
  • 计算化学的计算化学

背景情况:

  • 晶体学数据通常以不统一的表示形式呈现单位细胞.
  • 不一致的单元细胞描述使比较分析和数据挖掘复杂化.

研究的目的:

  • 从晶体结构数据集中选择代表性单元细胞的标准化方法.
  • 为了能够对晶体结构进行可靠的比较,无论最初的细胞表征如何.

主要方法:

  • 一种基于与目标细胞相似性的单元细胞选择的新算法.
  • 实现适应细胞参数 (长度,角度) 的变化.
  • 该方法支持不同的格子中心类型 (例如,原始,以身体为中心,以脸为中心).

主要成果:

  • 证明了将多样化的单元细胞表示统一到一个一致的格式的能力.
  • 提出的方法有效地将所选单元和参考单元单元之间的差异降到最低.
  • 成功地容纳了具有不同参数和集中类型的细胞.

结论:

  • 开发的方法为在晶体学中标准化单元细胞表示提供了强大的解决方案.
  • 能够更准确,更有效地对结晶结构数据库进行比较和分析.
  • 提高数据的互操作性,减少晶体学研究中的模糊性.