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相关概念视频

Density00:56

Density

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Density is an important characteristic of substances, crucial in determining whether an object sinks or floats in a fluid. Its SI unit is kg/m3, and its cgs unit is g/cm3. The density of an object helps in identifying its composition, and also reveals information about the phase of the matter and its substructure. The densities of liquids and solids are roughly comparable, consistent with the fact that their atoms are in close contact. However, gases have much lower densities than liquids and...
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NMR Spectrometers: Resolution and Error Correction01:14

NMR Spectrometers: Resolution and Error Correction

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When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...
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Distance Corrections01:15

Distance Corrections

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To achieve precise distance measurements, especially in surveying and construction, certain corrections must be applied to account for potential sources of error like the standardization errors, temperature variations, and slope adjustments.Standardization error emerges when measurement equipment undergoes changes, such as wear, repairs, or weather impacts. To address this, surveyors compare the equipment’s readings to a standard. This process identifies any deviation that might lead to...
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Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

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Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
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Maxwell-Boltzmann Distribution: Problem Solving01:20

Maxwell-Boltzmann Distribution: Problem Solving

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Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
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Density and Archimedes' Principle01:05

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When a lump of clay is dropped into water, it sinks. But if the same lump of clay is molded into the shape of a boat, it starts to float. Because of its shape, the clay boat displaces more water than the lump and experiences a greater buoyant force, even though its mass is the same. The same holds true for steel ships. The average density of an object majorly determines if the object will float. If an object's average density is less than that of the surrounding fluid, it will float. The...
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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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基于密度的基数组校正方法的密度合适的实现.

Andreas Heßelmann1, Emmanuel Giner2, Peter Reinhardt2

  • 1Institute for Theoretical Chemistry, University of Stuttgart, Stuttgart, Germany.

Journal of computational chemistry
|February 13, 2024
PubMed
概括
此摘要是机器生成的。

本研究引入了一种高效的基于密度的基数组校正 (DBBSC) 方法,用于在量子化学计算中更快地接近完整基数组极限. 虽然不像MP2-F12那样准确,但DBBSC提供了一个计算上更便宜的替代方案,用于改善基础集的融合.

关键词:
梅勒普莱塞特扰动理论基准汇率的基本设定密度-功能理论反应能量反应能量.

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科学领域:

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

背景情况:

  • 基本集不完整性是电子结构计算中的一个主要挑战.
  • 为了准确的预测,加速接近完整基准集 (CBS) 极限至关重要.
  • 现有的方法可能在计算上昂贵或缺乏效率.

研究的目的:

  • 实施和评估基于密度的基数组校正 (DBBSC) 方法的高效密度拟合版本.
  • 为了评估DBBSC在加速基础上的表现,设置反应能量的收.
  • 将DBBSC与明确相关的MP2-F12方法进行比较.

主要方法:

  • 在MOLPRO中实施基于密度的基数组校正 (DBBSC) 方法,使用密度拟合.
  • 探索不同的基准调整密度函数近似值.
  • 包括补充-辅助-基数组单次激发纠正.
  • 在Møller-Plesset (MP2) 第二阶级反应能量的基准集上进行测试.

主要成果:

  • 密度合适的DBBSC方法显著加快了MP2反应能量的基础集收.
  • 与MP2-F12.12相比,DBBSC提供了一个比MP2-F12.12更便宜的计算方法.
  • 发现DBBSC的准确性低于MP2-F12方法的准确性.

结论:

  • 密度匹配DBBSC方法是提高量子化学计算中基础集收的有效工具.
  • 在某些应用中,DBBSC提供了计算成本和精度之间的实用平衡.
  • 对DBBSC近似的进一步探索可能会导致更高的准确性.