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相关概念视频

Chemical Equilibria: Systematic Approach to Equilibrium Calculations01:21

Chemical Equilibria: Systematic Approach to Equilibrium Calculations

681
Equilibrium calculations for systems involving multiple equilibria are often complex. For example, to calculate the solubility of a sparingly soluble salt in an aqueous solution in the presence of a common ion, one must consider all the equilibria in this solution. Calculations for these systems can be complicated and tedious, so a systematic approach with a series of steps is often helpful. The process is detailed below.
The first step is to identify all the chemical reactions involved, The...
681
¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)01:20

¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)

1.0K
When proton-coupled carbon-13 spectra are simplified by a broadband proton decoupling technique, structural information about the coupled protons is lost. Distortionless enhancement by polarization transfer (DEPT) is a technique that provides information on the number of hydrogens attached to each carbon in a molecule. While the DEPT experiment utilizes complex pulse sequences, the pulse delay and flip angle are specifically manipulated. The resulting signals have different phases depending on...
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Predicting Molecular Geometry02:27

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VSEPR Theory for Determination of Electron Pair Geometries
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Inertia Tensor01:24

Inertia Tensor

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The concept of the inertia tensor is employed to depict the mass distribution and rotational inertia of a solid or rigid object. This tensor is expressed through a three-by-three matrix. Each component within this matrix corresponds to varying moments of inertia about specific axes.
The diagonal components of the inertia tensor matrix represent the moments of inertia concerning the principal axes of the object. These primary axes are defined as the axes where the object experiences the least...
457
¹H NMR: Complex Splitting01:13

¹H NMR: Complex Splitting

1.3K
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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Thermal Electrocyclic Reactions: Stereochemistry01:17

Thermal Electrocyclic Reactions: Stereochemistry

2.0K
The stereochemistry of electrocyclic reactions is strongly influenced by the orbital symmetry of the polyene HOMO. Under thermal conditions, the reaction proceeds via the ground-state HOMO.
Selection Rules: Thermal Activation
Conjugated systems containing an even number of π-electron pairs undergo a conrotatory ring closure. For example, thermal electrocyclization of (2E,4E)-2,4-hexadiene, a conjugated diene containing two π-electron pairs, gives trans-3,4-dimethylcyclobutene.
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通过张量分解来解决不可提取的化学问题.

Nina Glaser1, Markus Reiher2

  • 1Department of Chemistry and Applied Biosciences, ETH Zürich, CH-8093 Zürich. nina.glaser@phys.chem.ethz.ch.

Chimia
|April 27, 2024
PubMed
概括
此摘要是机器生成的。

张量分解方法可以解决传统方法无法解决的复杂的计算化学问题. 这些技术,包括张量网络,正在推进分子模拟和材料科学.

关键词:
压缩 压缩是一种压缩.机器学习 机器学习张量分解的张量分解张量网络是张量网络的组成部分.

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科学领域:

  • 计算化学计算化学
  • 材料科学 材料科学 材料科学
  • 量子动力学 量子动力学是什么?
  • 电子结构理论 电子结构理论
  • 机器学习 机器学习

背景情况:

  • 由于计算难以处理,传统的数值方法难以处理大规模的化学问题.
  • 基于物理的化学模型往往导致复杂的,高维的表示.
  • 对分子大小的不利缩放限制了传统计算方法的适用性.

研究的目的:

  • 探索张量分解技术对计算化学的影响.
  • 为化学和材料科学中基于张数的方法提供统一的视角.
  • 将突出的张量分解算法与底层的张量网络形式联系起来.

主要方法:

  • 使用张量分解来分解大型化学问题表示.
  • 在各种计算化学领域应用张量因子算法.
  • 检查各种基于张数的方法的基础上的常见张数网络形式.

主要成果:

  • 张量分解显著扩大了计算化学的范围.
  • 基于张量分解的算法现在在多个领域都是最先进的.
  • 通过将方法与常见的张量网络结构联系起来,可以提供统一的视角.

结论:

  • 张量分解是克服化学计算局限性的强大工具.
  • 张量网络形式主义为领先的基于张量方法提供了一个统一的框架.
  • 这些方法对于推进分子动力学,电子结构和化学和材料科学的机器学习研究至关重要.