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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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Second Uniqueness Theorem01:16

Second Uniqueness Theorem

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Consider a region consisting of several individual conductors with a definite charge density in the region between these conductors. The second uniqueness theorem states that if the total charge on each conductor and the charge density in the in-between region are known, then the electric field can be uniquely determined.
In contrast, consider that the electric field is non-unique and apply Gauss's law in divergence form in the region between the conductors and the integral form to the...
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Crystal Field Theory - Octahedral Complexes02:58

Crystal Field Theory - Octahedral Complexes

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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...
26.6K
Electric Field of Two Equal and Opposite Charges01:30

Electric Field of Two Equal and Opposite Charges

5.9K
Atoms generally contain the same number of positively and negatively charged particles, protons, and electrons. Hence, they are electrically neutral. However, the centers of the positive and negative charges do not always coincide. In such a scenario, the electric field of an atom may not be zero.
A separation of the positive and negative charges can lead to a weak, remnant effect of the positive and negative charges. The expectation is that the more the distance between the positive and...
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¹H NMR: Complex Splitting01:13

¹H NMR: Complex Splitting

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A proton M that is coupled to a proton X results in doublet signals for M. However, NMR-active nuclei can be simultaneously coupled to more than one nonequivalent nucleus. When M is coupled to a second proton A, such as in styrene oxide, each peak in the doublet is split into another doublet.
Splitting diagrams or splitting tree diagrams are routinely used to depict such complex couplings. While drawing splitting diagrams, the splitting with the larger coupling constant is usually applied...
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Energy Associated With a Charge Distribution01:21

Energy Associated With a Charge Distribution

1.5K
The work done to bring a charge through a distance r is given by the potential difference between the initial and the final position. To assemble a collection of point charges, the total work done can be expressed in terms of the product of each pair of charges divided by their separation distance, defined with respect to a suitable origin. Solving this expression gives the energy stored in a point charge distribution.
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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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在精确的两组件理论和使用半数整合的现代密度函数理论中的零场分割参数.

Florian Bruder1, Yannick J Franzke1, Christof Holzer2

  • 1Fachbereich Chemie, Philipps-Universität Marburg, Hans-Meerwein-Straße 4, 35032 Marburg, Germany.

The Journal of chemical physics
|November 21, 2023
PubMed
概括

本研究提出了一种有效的计算方法来计算零场分割参数,并将其适用于各种密度函数近似和相对论理论. 该方法以最小的误差实现了显著的加速度,使其适用于复杂的分子系统.

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Thermochemical Studies of NiII and ZnII Ternary Complexes Using Ion Mobility-Mass Spectrometry
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科学领域:

  • 计算化学计算化学
  • 量子化学 是一个量子化学.
  • 理论化学 理论化学

背景情况:

  • 零场分裂 (ZFS) 参数对于理解分子的电子结构和磁性属性至关重要.
  • 精确计算ZFS参数,特别是旋转轨道合 (SOC) 和旋转旋转 (SS) 贡献,在计算上要求很高.
  • 现有的方法在处理高级密度函数近似和相对论效应方面往往面临局限性.

研究的目的:

  • 开发和实施一种有效的计算方法来计算零场分割参数.
  • 将现有的方法扩展到元泛化梯度近似 (meta-GGAs),局部混合函数和相对论两组件理论.
  • 评估各种化学系统的新实施的准确性和效率.

主要方法:

  • 利用半数整合技术进行双电子自旋双极和自旋轨道扰动贡献.
  • 将配方扩展到meta-GGAs和局部混合函数,并结合了偏磁电流密度响应.
  • 在相对论精确的两组件 (2c) 理论和选核旋转轨道 (SNSO) 近似中制定的旋转轨道扰动.

主要成果:

  • 证明了对过渡金属和二原子主组化合物实施的准确性.
  • 通过使用粗集成网与微不足道的误差,实现了Mn和Mo复合体的显著加速度.
  • 这种SNSO近似方法大大降低了计算成本,产生了与旋转轨道平均场 (SOMF) 相似的结果.

结论:

  • 提出的ZFS参数的高效实现是准确的,并且适用于更广泛的电子结构方法.
  • 使用粗整合网格和SNSO近似为ZFS计算提供了一种实用和可行的计算方法.
  • 这项工作提升了对复杂分子中磁性质的准确理论研究的能力.