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相关概念视频

Energy Associated With a Charge Distribution01:21

Energy Associated With a Charge Distribution

1.9K
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.
1.9K
Equilibrium Conditions for a Particle01:23

Equilibrium Conditions for a Particle

2.2K
When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
2.2K
Thermodynamic Potentials01:26

Thermodynamic Potentials

1.5K
Thermodynamic potentials are state functions that are extremely useful in analyzing a thermodynamic system. They have dimensions of energy. The four important thermodynamic potentials are internal energy, enthalpy, Helmholtz free energy, and Gibbs free energy. These thermodynamic potentials can be expressed using two of the following variables: pressure, volume, temperature, and entropy. These two variables are expressed as the rate of change of the thermodynamic potential with respect to other...
1.5K
Maxwell's Thermodynamic Relations01:23

Maxwell's Thermodynamic Relations

4.4K
Maxwell's thermodynamic relations are very useful in solving problems in thermodynamics. Each of Maxwell's relations relates a partial differential between quantities that can be hard to measure experimentally to a partial differential between quantities that can be easily measured. These relations are a set of equations derivable from the symmetry of the second derivatives and the thermodynamic potentials.
All thermodynamic potentials are exact differentials. Therefore, their second-order...
4.4K
Chemical Shift: Internal References and Solvent Effects01:17

Chemical Shift: Internal References and Solvent Effects

1.3K
In an NMR sample, precise measurement of the absolute absorption frequencies of nuclei is difficult. A standard internal reference compound is added, and the frequency difference between the reference signal and sample signals is measured.
The internal reference compound generally used in NMR spectroscopy is tetramethylsilane (TMS). TMS is preferred because it is chemically inert, soluble in NMR solvents, and easily removable. Also, the highly shielded methyl protons in TMS yield an intense...
1.3K
Van der Waals Equation01:10

Van der Waals Equation

6.2K
The ideal gas law is an approximation that works well at high temperatures and low pressures. The van der Waals equation of state (named after the Dutch physicist Johannes van der Waals, 1837−1923) improves it by considering two factors.
First, the attractive forces between molecules, which are stronger at higher densities and reduce the pressure, are considered by adding to the pressure a term equal to the square of the molar density multiplied by a positive coefficient a. Second, the volume...
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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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来自组合的粒子-孔和粒子-粒子附带连接与随机相近似的多参数动态关联能量.

Aleksandra Tucholska1, Katarzyna Pernal2

  • 1J. Heyrovský Institute of Physical Chemistry, Academy of Sciences of the Czech Republic, Prague 8, Prague 18223, Czech Republic.

Journal of chemical theory and computation
|January 14, 2026
PubMed
概括
此摘要是机器生成的。

我们开发了一种新的附加电流连接 (AC) 框架,用于计算多参考系统中的电子相关能量. 结合 ffAC0 方法为各种化学挑战提供了高精度和高效率.

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科学领域:

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

背景情况:

  • 精确计算电子相关能量对于多参考系统至关重要.
  • 现有的附带连接 (AC) 形式主义在捕捉相关性效应方面存在局限性.
  • 粒子-孔 (ph) 和粒子-粒子 (pp) 表示为相关性提供了不同的视角.

研究的目的:

  • 为了开发一个正式的正确的增离子连接 (AC) 框架,用于多参考相关性能量.
  • 导出和实现粒子-粒子 (pp) AC形式主义.
  • 提出和测试一个组合的粒子洞和粒子粒子 (ph-pp) AC方法 (ffAC).

主要方法:

  • 使用费米子运算符代数推导ppAC形式主义.
  • 基于扩展随机阶段近似的实现.
  • 通过合并ph和pp相关幅度来开发联合的ffAC方法.

主要成果:

  • 第二级多参数pp相关性能量自然在ppAC框架内出现.
  • 结合的ffAC方法成功地结合了ph和pp的相关性贡献,避免了双重计数.
  • 线性 ffAC0 方法在各种具有挑战性的化学系统中表现出卓越的准确性,匹配或超过 NEVPT2.
  • 在计算上,ffAC0比NEVPT2更高效,只需要一个和两个电子的低密度矩阵.

结论:

  • 衍生出来的ppAC形式主义为多引用相关性提供了一个强大的框架.
  • 结合 ffAC 方法为电子相关性提供了一个平衡而准确的方法.
  • ffAC0方法在计算效率和准确性方面取得了显著的进步,用于多参考相关性能量计算.