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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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Atomic Radii and Effective Nuclear Charge03:08

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The elements in groups of the periodic table exhibit similar chemical behavior. This similarity occurs because the members of a group have the same number and distribution of electrons in their valence shells.
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Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
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Crystalline solids are divided into four types: molecular, ionic, metallic, and covalent network based on the type of constituent units and their interparticle interactions.
Molecular Solids
Molecular crystalline solids, such as ice, sucrose (table sugar), and iodine, are solids that are composed of neutral molecules as their constituent units. These molecules are held together by weak intermolecular forces such as London dispersion forces, dipole-dipole interactions, or hydrogen bonds, which...
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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.
CFT focuses on...
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Updated: Sep 9, 2025

An Externally-Heated Diamond Anvil Cell for Synthesis and Single-Crystal Elasticity Determination of Ice-VII at High Pressure-Temperature Conditions
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六角冰密度依赖于核量子效应引起的原子间距离变化

Lucas T S de Miranda1, Márcio S Gomes-Filho2, Mariana Rossi3

  • 1Institute of Theoretical Physics, São Paulo State University (UNESP), Campus São Paulo, São Paulo, Brazil.

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概括
此摘要是机器生成的。

机器学习潜力显示大多数理论模型高估了六角冰密度. 量子核效应进一步增加了这种差异,加强了冰中的键.

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科学领域:

  • 凝聚物质物理学
  • 计算化学
  • 材料科学

背景情况:

  • 六角冰 (冰Ih) 是最常见的冰,具有复杂的特性.
  • 准确的冰密度和原子间相互作用的理论模型对于理解冰的行为至关重要.
  • 机器学习潜力提供了一个有前途的方法,可以将初始准确性与经典分子动力学的可扩展性相结合.

研究的目的:

  • 使用机器学习潜力研究冰的结构和振动特性.
  • 评估不同交换相关函数对IH模拟的影响.
  • 了解核量子效应对冰中的密度和结的作用.

主要方法:

  • 开发和应用来自各种交换相关函数的机器学习潜力.
  • 六角冰的模拟 (Ih) 侧重于结构和振动特性.
  • 在模拟中包含核量子效应.

主要成果:

  • 与实验数据相比,大多数测试的函数高估了冰的密度.
  • 核的量子处理加剧了密度的高估,进一步偏离实验值.
  • 核量子效应被发现在冰IH中强化键,与水集群或散水不同.

结论:

  • 目前的机器学习潜力,特别是量子核处理,需要精确的冰密度预测.
  • 了解原子间相互作用和核量子效应是改善冰IH理论模型的关键.
  • 核量子效应对冰中的结合的明显影响需要进一步研究.