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Evolutionary algorithms for molecular design require computationally efficient yet accurate fitness functions. We systematically benchmark Hartree-Fock and density functional theory for predicting molecular first hyperpolarizability…

化学物理 · 物理学 2026-04-24 Dominic Mashak , S. A. Alexander

An implementation of the Hartree-Fock (HF) method capable of robust convergence for well-behaved arbitrary central potentials is presented. The Hartree-Fock equations are converted to a generalized eigenvalue problem by employing a B-spline…

原子物理 · 物理学 2021-08-13 D. T. Waide , D. G. Green , G. F. Gribakin

The $GW$ method for calculating quasi-particle energies of solids commonly begin from a DFT Hamiltonian and Kohn-Sham orbitals in a plane wave basis. Screening of the coulomb interaction is implemented using the inverse dielectric function…

材料科学 · 物理学 2026-05-20 Charles H. Patterson

The crystalline structure of ground-state orthorhombic SrRuO$_3$ is reproduced by applying hybrid density functional theory scheme to the functionals based on the revised generalized-gradient approximations for solid-state calculations. The…

材料科学 · 物理学 2016-10-11 Š. Masys , V. Jonauskas

We compare the ability of four popular hybrid density functionals (B3LYP, B3PW91, HSE, and PBE0) for predicting band gaps of semiconductors and insulators over a large benchmark set using a consistent methodology. We observe no significant…

材料科学 · 物理学 2016-10-07 Alejandro J. Garza , Gustavo E. Scuseria

Systematic calculations of ground-state spin and parity of odd-mass nuclei have been performed within the Hartree--Fock--BCS (HFBCS) approach and the Finite-Range Droplet Model for nuclei for which experimental data are available. The…

核理论 · 物理学 2008-11-26 Ludovic Bonneau , Philippe Quentin , Peter Moller

A previously proposed non-canonical coupled-perturbed Kohn-Sham density functional theory (KS-DFT)/Hartree-Fock (HF) treatment for spin-orbit coupling is here generalized to infinite periodic systems. The scalar-relativistic periodic…

We quantify the accuracy of different non-self-consistent and self-consistent spin-orbit coupling (SOC) treatments in Kohn-Sham and hybrid density-functional theory by providing a band structure benchmark set for the valence and low-lying…

材料科学 · 物理学 2017-09-06 William P. Huhn , Volker Blum

We present a detailed study of the structural, electronic, magnetic and ferroelectric properties of prototypical \textit{proper} and \textit{improper} multiferroic (MF) systems such as BiFeO$_{3}$ and orthorhombic HoMnO$_{3}$, respectively,…

材料科学 · 物理学 2017-03-15 A. Stroppa , S. Picozzi

Coupled-cluster calculations of static electronic dipole polarizabilities for 145 organic molecules are performed to create a reference data set. The molecules are composed from carbon, hydrogen, nitrogen, oxygen, fluorine, sulfur,…

化学物理 · 物理学 2015-07-28 Taozhe Wu , Yulia N. Kalugina , Ajit J. Thakkar

The superdeformation (SD) in non-rotating states is studied with the HF+BCS method using the Skyrme interaction. In applying the BCS theory, the seniority pairing force is employed, of which strengths are determined in order to reproduce…

核理论 · 物理学 2009-10-31 Satoshi Takahara , Naoki Tajima , Naoki Onishi

We show that the Hartree-Fock (HF) results cannot be reproduced within the framework of Kohn-Sham (KS) theory because the single-particle densities of finite systems obtained within the HF calculations are not $v$-representable, i.e., do…

其他凝聚态物理 · 物理学 2009-11-10 M. Ya. Amusia , A. Z. Msezane , V. R. Shaginyan , D. Sokolovski

We revisit the Hartree-Fock (HF) calculation for the uniform electron gas, or jellium model, whose predictions -- divergent derivative of the energy dispersion relation and vanishing density of states (DOS) at the Fermi level -- are in…

强关联电子 · 物理学 2015-03-02 Alexander I. Blair , Aristeidis Kroukis , Nikitas I. Gidopoulos

We have performed deformed Hartree-Fock+BCS calculations with the Skyrme SIII force for the ground states of even-even nuclei with 2 <= Z <= 114 and N ranging from outside the proton drip line to beyond the experimental frontier in the…

核理论 · 物理学 2009-10-30 Naoki Tajima , Satoshi Takahara , Naoki Onishi

Although many programs have been published for fully numerical Hartree--Fock (HF) or density functional (DF) calculations on atoms, we are not aware of any that support hybrid DFs, which are popular within the quantum chemistry community…

化学物理 · 物理学 2019-08-19 Susi Lehtola

The generalized Thomas-Kuhn sum rules are used to eliminate the explicit dependence on dipolar terms in the traditional sum-over-states (SOS) expression for the second hyperpolarizability to derive a new, yet equivalent, SOS expression.…

化学物理 · 物理学 2009-11-13 Javier Perez-Moreno , Koen Clays , Mark G. Kuzyk

Static electric response properties of atoms and molecules are reported within the real-space Cartesian grid implementation of pseudopotential Kohn-Sham (KS) density functional theory (DFT). A detailed systematic investigation is made for a…

化学物理 · 物理学 2019-04-26 Tanmay Mandal , Abhisek Ghosal , Amlan K. Roy

Standard density functional approximations greatly over-estimate the static polarizability of longchain polymers, but Hartree-Fock or exact exchange calculations do not. Simple self-interaction corrected (SIC) approximations can be even…

原子与分子团簇 · 物理学 2007-08-22 C. D. Pemmaraju , S. Sanvito , K. Burke

Stokes polarimetry (SP) is a powerful technique that enables spatial reconstruction of the state of polarization (SoP) of a light beam using only intensity measurements. A given SoP is reconstructed from a set of four Stokes parameters,…

We present a density matrix approach for computing global solutions of Hartree-Fock theory, based on semidefinite programming (SDP), that gives upper and lower bounds on the Hartree-Fock energy of quantum systems. Equality of the upper- and…

化学物理 · 物理学 2014-02-11 Srikant Veeraraghavan , David A. Mazziotti
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