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Updated: May 16, 2025

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

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有效实施近似第四顺序N-电子价值状态扰乱理论

Emily M Kempfer1, Kantharuban Sivalingam1, Frank Neese1

  • 1Max-Planck-Institut für Kohlenforschung, Mülheim an der Ruhr D-45470, Germany.

Journal of chemical theory and computation
|April 4, 2025
PubMed
概括

一种新的第四阶段N电子价值扰动理论 (NEVPT4(SD)) 方法为过渡金属系统和键断解提供了更高的准确性. 这种可负担的计算方法在动态关联效应方面比NEVPT2提供了显著的收益.

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Accuracy, limits, and approximations are common in many fields, especially in engineering calculations. These concepts are imperative for ensuring that a given value is as close as possible to its true value.
Accuracy is defined as the closeness of the measured value to the true or actual value. In engineering mechanics, repeated measurements are taken during theoretical or experimental analyses to ensure that the result is precise and accurate.
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The Fourier series is a powerful mathematical tool for representing periodic signals as an infinite sum of complex exponentials. In practice, this infinite series is truncated to a finite number of terms, yielding a partial sum. This truncation makes the approximation of the signal feasible but introduces certain challenges, particularly near discontinuities, known as the Gibbs phenomenon.
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Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
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