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相关概念视频

Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

Crystal Field Theory - Tetrahedral and Square Planar Complexes

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Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
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Principle of Moments: Problem Solving01:30

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The principle of moments is a fundamental concept in physics and engineering. It refers to the balancing of forces and moments around a point or axis, also known as the pivot. This principle is used in many real-life scenarios, including construction, sports, and daily activities like opening doors and pushing objects.
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Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
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Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
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Nuclear transmutation is the conversion of one nuclide into another. It can occur by the radioactive decay of a nucleus, or the reaction of a nucleus with another particle. The first manmade nucleus was produced in Ernest Rutherford’s laboratory in 1919 by a transmutation reaction, the bombardment of one type of nuclei with other nuclei or with neutrons. Rutherford bombarded nitrogen-14 atoms with high-speed α particles from a natural radioactive isotope of radium and observed...
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The z-transform is a fundamental tool in digital signal processing, enabling the analysis of discrete-time systems through its various properties. It is an invaluable tool for analyzing discrete-time systems, offering a range of properties that simplify complex signal manipulations. One fundamental property is linearity. For any two discrete-time signals, the z-transform of their linear combination equals the same linear combination of their individual z-transforms. This property is essential...
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一组的电势张力电位,复杂度不断增加.

Yu Luo1, Jason A Meziere2, German D Samolyuk3

  • 1Department of Mechanical and Materials Engineering, Queen's University, Kingston, Ontario K7L 2N8, Canada.

Journal of chemical theory and computation
|September 12, 2023
PubMed
概括

本研究介绍了用于原子模拟的混合机器学习力场 (MLFF) 方法. 该方法通过扩大量子力学数据库和增加模型复杂度,系统地提高了准确性,提高了对Zr.等材料的预测.

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科学领域:

  • 材料科学 材料科学 材料科学
  • 计算化学计算化学
  • 物理 物理学 物理

背景情况:

  • 机器学习力场 (MLFFs) 为原子模拟提供了高保真性和持续改进.
  • 开发精确的MLFF需要大量的量子力学 (QM) 数据和仔细的模型构建.

研究的目的:

  • 提出一种混合小细胞方法,将线下和主动学习结合起来,以系统地开发MLFF.
  • 构建和评估越来越复杂的MLFF,使用时刻张量潜在形式主义.
  • 评估MLFFs对Zr.各种材料属性的预测准确度.

主要方法:

  • 实施了混合小细胞方法,整合了线下和主动学习策略.
  • 系统地扩展了质量管理数据库,以训练MLFF,逐渐增加模型复杂度.
  • 在MLFF构造中采用时刻张量潜在形式主义.
  • 量化评估Zr.的结构性,弹性,热性和缺陷性质.

主要成果:

  • 模型复杂性与MLFFs的预测准确性有正相关.
  • MLFFs准确地预测了训练数据中不存在的隐形配置的属性.
  • 高复杂度的MLFF (1513个参数) 与DFT基准有很好的一致性,尽管细微的特征有时会被噪音所掩盖.

结论:

  • 混合MLFF方法使得系统的数据库扩展和模型复杂性的增加.
  • MLFF显示出对各种材料属性的强有力的预测能力,即使是对样本外数据.
  • 虽然高度复杂性提高了准确性,但要捕获细微的物理细节,需要仔细考虑训练数据和潜在噪声.