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相关概念视频

Inertia Tensor01:24

Inertia Tensor

556
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...
556
Divergence and Curl01:15

Divergence and Curl

1.8K
The divergence of a vector field at a point is the net outward flow of the flux out of a small volume through a closed surface enclosing the volume, as the volume tends to zero. More practically, divergence measures how much a vector field spreads out or diverges from a given point. For an outgoing flux, conventionally, the divergence is positive. The diverging point is often called the "source" of the field. Meanwhile, the negative divergence of a vector field at a point means that the...
1.8K
Scalar and Vector Triple Products01:06

Scalar and Vector Triple Products

2.5K
Two vectors can be multiplied using a scalar product or a vector product. The resultant of a scalar product is scalar, while with vector products, the resultant is a vector. These rules of the scalar or vector product between two vectors can be applied to multiple vectors to obtain meaningful combinations. The scalar triple product is the dot product of a vector with the cross product of two vectors.
The scalar triple product is the dot product of a vector with the cross product of two vectors....
2.5K
Dot Product01:29

Dot Product

376
The dot product is an essential concept in mathematics and physics.
In engineering, the dot product of any two vectors is the product of the magnitudes of the vectors and the cosine of the angle between them. It is denoted by a dot symbol between the two vectors.
Consider a vehicle pulling an object along the ground using a rope. If the rope makes an angle with the horizontal axis, the work done can be calculated using the dot product of the force applied and the object's displacement.
The dot...
376
Divergence and Curl of Electric Field01:25

Divergence and Curl of Electric Field

5.8K
The divergence of a vector is a measure of how much the vector spreads out (diverges) from a point. For example, an electric field vector diverges from the positive charge and converges at the negative charge. The divergence of an electric field is derived using Gauss's law and is equal to the charge density divided by the permittivity of space. Mathematically, it is expressed as
5.8K
Scalar Notation01:28

Scalar Notation

702
Scalar notation is a useful method for simplifying calculations involving vectors. When vectors are added or subtracted, their components can be added or subtracted separately using scalar notation. For instance, force, a vector quantity, can be broken down into its x and y components, called rectangular components, and then the magnitude and direction of these components can be determined using trigonometric functions.
Consider a man pulling a rope from a hook in the northeast direction. The...
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An in vivo Rodent Model of Contraction-induced Injury and Non-invasive Monitoring of Recovery
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开放式外张量器超收缩

Tingting Zhao1, Megan Simons1, Devin A Matthews1

  • 1Department of Chemistry, Southern Methodist University, Dallas, Texas 75275, United States.

Journal of chemical theory and computation
|June 23, 2023
PubMed
概括
此摘要是机器生成的。

科学家们将Møller-Plesset扰动理论扩展到使用最小平方张量超收缩 (LS-THC) 的开放系统. 这种计算化学的进步大大降低了研究激素和离子的缩放成本.

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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:

  • 基于波函数的量子化学方法,如Møller-Plesset扰动理论 (MPn),面临着随着分子尺寸的增加而增加计算成本的挑战.
  • 最小方位张量超收缩 (LS-THC) 提供了两个电子积分张量的高效分解,减少了计算复杂性.
  • 开放系统 (离子,激素) 在化学中至关重要,但在计算上要求使用传统方法进行研究.

研究的目的:

  • 扩展最小平方张量超收缩 (LS-THC) 第二和第三阶Møller-Plesset扰动理论 (MP2和MP3) 到开放分子系统.
  • 调查这些用于开放式电子结构计算的扩展方法的准确性和效率.
  • 为研究反应性化学物种提供一种可计算的方法.

主要方法:

  • 使用图形技术开发LS-THC-MP2和LS-THC-MP3的开变体.
  • 显式旋转总和的应用,以结合开放的特性.
  • 在各种测试系统上对LS-THC-MPn方法进行基准测试,包括基,断约场景和激素稳定.

主要成果:

  • 开发的开放LS-THC-MPn方法的准确性与它们的封闭同行可比.
  • 由于LS-THC因子化,计算成本扩展显著减少.
  • 这些方法显示出强度,对特定的化学相互作用,几何形状或中度旋转污染不敏感.

结论:

  • 将LS-THC-MPn扩展到开放系统是计算量子化学的一个重大进步.
  • 这些方法为研究广泛的开分子系统提供了可靠和高效的工具.
  • 在理论化学研究中,LS-THC-MPn为减少计算负担提供了一个有希望的途径.