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Cholesky分解在CFOUR程序包中的应用

Use of Cholesky decomposition in the CFOUR program package

Jürgen Gauss, Simon Blaschke, Sophia Burger, Davide Cianchino, Marios-Petros Kitsaras, Luca Melega, Tommaso Nottoli, Jeremias Oswald, Tereza Uhlířová, Chaoqun Zhang, Lan Cheng, Stella Stopkowicz, Filippo Lipparini

arXiv 2609.00306首次发表:更新:

AI 中文总结

该研究介绍了在量子化学程序包CFOUR中,将Cholesky分解应用于CASSCF、耦合簇等多种计算场景及磁性质计算等的相关开发,以加速分子能量与性质的高级计算。

AI 中文摘要

本文概述了我们利用Cholesky分解(CD)加速分子能量与性质的高级计算所做的工作,介绍了量子化学程序包CFOUR中的相关开发,重点包括:(a)CD在完全活性空间自洽场(CASSCF)和耦合簇(CC)计算中的应用;(b)基于CD的解析CC梯度的实现;(c)结合显式依赖磁场的基函数(即规范包含原子轨道,GIAOs),利用CD高效计算磁性质(NMR屏蔽常数和磁化率);(d)利用CD高效计算CASSCF响应性质;(e)CD在二分量及四分量相对论计算中的应用;(f)结合GIAOs与CD对有限磁场中的分子进行计算。最后对CFOUR程序包的未来发展进行了展望。

英文摘要

An overview is given about our efforts to speed up high-level computations of molec- ular energies and properties using Cholesky decomposition (CD). We describe the cor- responding developments in the CFOUR quantum-chemical package with a focus on (a) the use of CD in complete-active space self-consistent-field (CASSCF) and coupled- cluster (CC) computations, (b) the implementation of analytic CC gradients using CD, (c) the efficient calculation of magnetic properties (NMR shieldings and magnetizabili- ties) using CD when carried out with explicit magnetic-field dependent basis functions, i.e., the so-called gauge-including atomic orbitals (GIAOs), (d) the efficient computa- tion of CASSCF response properties using CD, (e) the use of CD in relativistic two- and four-component computations, as well as (f) computations for molecules in finite magnetic fields using GIAOs together with CD. An outlook on future developments concerning the CFOUR package is given.

论文原文

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