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采用双电子积分的Cholesky分解的二阶CASSCF算法。

Second-Order CASSCF Algorithm with the Cholesky Decomposition of the Two-Electron Integrals.

作者信息

Nottoli Tommaso, Gauss Jürgen, Lipparini Filippo

机构信息

Dipartimento di Chimica e Chimica Industriale, Università di Pisa. Via G. Moruzzi 13, I-56124 Pisa, Italy.

Department Chemie, Johannes Gutenberg-Universität Mainz, Duesbergweg 10-14, D-55128 Mainz, Germany.

出版信息

J Chem Theory Comput. 2021 Nov 9;17(11):6819-6831. doi: 10.1021/acs.jctc.1c00327. Epub 2021 Oct 31.

Abstract

In this contribution, we present the implementation of a second-order complete active space-self-consistent field (CASSCF) algorithm in conjunction with the Cholesky decomposition of the two-electron repulsion integrals. The algorithm, called norm-extended optimization, guarantees convergence of the optimization, but it involves the full Hessian and is therefore computationally expensive. Coupling the second-order procedure with the Cholesky decomposition leads to a significant reduction in the computational cost, reduced memory requirements, and an improved parallel performance. As a result, CASSCF calculations of larger molecular systems become possible as a routine task. The performance of the new implementation is illustrated by means of benchmark calculations on molecules of increasing size, with up to about 3000 basis functions and 14 active orbitals.

摘要

在本论文中,我们展示了结合双电子排斥积分的Cholesky分解的二阶完全活性空间自洽场(CASSCF)算法的实现。该算法称为范数扩展优化,可确保优化的收敛性,但它涉及完整的海森矩阵,因此计算成本高昂。将二阶程序与Cholesky分解相结合可显著降低计算成本、减少内存需求并提高并行性能。因此,对更大分子体系进行CASSCF计算成为一项常规任务。通过对尺寸不断增加的分子进行基准计算来说明新实现方法的性能,这些分子具有多达约3000个基函数和14个活性轨道。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/77a2/8582256/5fff17cd170d/ct1c00327_0001.jpg

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