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Many-Body Expanded Full Configuration Interaction: II. Strongly Correlated Regime

Janus J. Eriksen, +1 more
- 20 Aug 2018 - 
- Vol. 15, Iss: 9, pp 4873-4884
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TLDR
This second part of the series on the recently proposed many-body expanded full configuration interaction (MBE-FCI) method introduces the concept of multideterminantal expansion references and shows a focussed compression of the MBE decomposition of the FCI energy, allowing chemical problems dominated by strong correlation to be addressed by the method.
Abstract
Over the course of the past few decades, the field of computational chemistry has managed to manifest itself as a key complement to more traditional lab-oriented chemistry. This is particularly true in the wake of the recent renaissance of full configuration interaction (FCI)-level methodologies, albeit only if these can prove themselves sufficiently robust and versatile to be routinely applied to a variety of chemical problems of interest. In the present series of works, performance and feature enhancements of one such avenue toward FCI-level results for medium to large one-electron basis sets, the recently introduced many-body expanded full configuration interaction (MBE-FCI) formalism [ J. Phys. Chem. Lett. 2017, 8, 4633], will be presented. Specifically, in this opening part of the series, the capabilities of the MBE-FCI method in producing near-exact ground state energies for weakly correlated molecules of any spin multiplicity will be demonstrated.

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Citations
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Recent developments in the PySCF program package

TL;DR: PySCF as mentioned in this paper is a Python-based general-purpose electronic structure platform that supports first-principles simulations of molecules and solids as well as accelerates the development of new methodology and complex computational workflows.
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Spin-flip methods in quantum chemistry

TL;DR: The Perspective reviews applications of the spin-flip treatment within wave function and density functional theory frameworks as well as the extensions for molecular properties and spectroscopy and describes different methods that sprung from this idea.
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Fantasy versus reality in fragment-based quantum chemistry.

TL;DR: As fragment-based quantum chemistry methods begin to mature, it is time to have a serious conversation about what they can and cannot be expected to accomplish in the near future.
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Iterative Configuration Interaction with Selection

TL;DR: The iCIPT2 as discussed by the authors algorithm is based on the Epstein-Nesbet second-order perturbation theory (PT2) and is shown to achieve state-of-the-art performance on the C2, O2, Cr2 and C6H6.
References
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Journal ArticleDOI

Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen

TL;DR: In this paper, a detailed study of correlation effects in the oxygen atom was conducted, and it was shown that primitive basis sets of primitive Gaussian functions effectively and efficiently describe correlation effects.
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Note on an Approximation Treatment for Many-Electron Systems

Chr. Møller, +1 more
- 01 Oct 1934 - 
TL;DR: In this article, a perturbation theory for treating a system of n electrons in which the Hartree-Fock solution appears as the zero-order approximation was developed, and it was shown by this development that the first order correction for the energy and the charge density of the system is zero.
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The NumPy Array: A Structure for Efficient Numerical Computation

TL;DR: In this article, the authors show how to improve the performance of NumPy arrays through vectorizing calculations, avoiding copying data in memory, and minimizing operation counts, which is a technique similar to the one described in this paper.
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A fifth-order perturbation comparison of electron correlation theories

TL;DR: In this paper, a new augmented version of coupled-cluster theory, denoted as CCSD(T), is proposed to remedy some of the deficiencies of previous augmented coupledcluster models.
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