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Using time-dependent density functional theory (tdDFT) with exchange kernels we calculate and test imaginary frequency-dependent dipole polarizabilities for all atoms and many ns in rows 1-6 of the periodic table. These are then integrated…

Computational Physics · Physics 2016-07-08 Tim Gould , Tomas Bucko

A local approximation for dynamic polarizability leads to a nonlocal functional for the long-range dispersion interaction energy via an imaginary-frequency integral. We analyze several local polarizability approximations and argue that the…

Chemical Physics · Physics 2015-03-17 Oleg A. Vydrov , Troy Van Voorhis

We present a computational study of static and dynamic linear polarizabilities in solution. We use different theoretical approaches to describe solvent effects, ranging from quantum mechanics/molecular mechanics (QM/MM) to quantum embedding…

Chemical Physics · Physics 2022-12-07 Linda Goletto , Sara Gómez , Josefine H. Andersen , Henrik Koch , Tommaso Giovannini

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…

Chemical Physics · Physics 2019-04-26 Tanmay Mandal , Abhisek Ghosal , Amlan K. Roy

Density Functional Theory has long struggled to obtain the exact exchange-correlational (XC) functional. Numerous approximations have been designed with the hope of achieving chemical accuracy. However, designing a functional involves…

Chemical Physics · Physics 2025-03-10 Aditi Singh , Eduardo Fabiano , Szymon Śmiga

We present an efficient perturbative method to obtain both static and dynamic polarizabilities and hyperpolarizabilities of complex electronic systems. This approach is based on the solution of a frequency dependent Sternheimer equation,…

Materials Science · Physics 2009-11-13 Xavier Andrade , Silvana Botti , Miguel A. L. Marques , Angel Rubio

The molecular polarizability describes the tendency of a molecule to deform or polarize in response to an applied electric field. As such, this quantity governs key intra- and inter-molecular interactions such as induction and dispersion,…

Chemical Physics · Physics 2025-10-06 David M. Wilkins , Andrea Grisafi , Yang Yang , Ka Un Lao , Robert A. DiStasio , Michele Ceriotti

We present a general computational protocol for the evaluation of extensive molecular response properties in complex environments within a polarizable quantum embedding framework. The approach extends multilevel density functional theory…

Chemical Physics · Physics 2026-02-11 Alberto Barlini , Julien Bloino , Henrik Koch , Tommaso Giovannini

The strong interaction is not well understood at low energy, or for interactions with low momentum transfer $Q^2$, but one of the clearest insights we have comes from Chiral Perturbation Theory ($\chi$PT). This effective treatment gives…

In this paper, the optimal solution of effective nonlinear coefficient of quasi-phase-matching (QPM) crystals for coupled third harmonic generation (CTHG) was numerically investigated. The effective nonlinear coefficient of CTHG was…

Optics · Physics 2024-03-08 Zihua Zheng , Ziwen Tang , Zhiyi Wei , Jinghua Sun

A frequency-dependent extension of the polarizable force field ``Atom-Condensed Kohn-Sham density functional theory approximated to the second-order'' (ACKS2) [J. Chem. Phys. 141, 194114 (2014)] is proposed, referred to as ACKS2$\omega$.…

Chemical Physics · Physics 2022-10-12 YingXing Cheng , Toon Verstraelen

This work reports radiative transition rates and electron impact excitation rate coefficients for levels of the n= 3, 4, 5, 6, 7, 8 configurations of Ca II. The radiative data were computed using the Thomas-Fermi-Dirac central potential…

Astrophysics · Physics 2009-11-13 M. Melendez , M. A. Bautista , N. R. Badnell

We review the analysis of polarized structure function data using perturbative QCD at next-to-leading order. We use the most recent experimental data to obtain updated results for polarized parton distributions, first moments and the strong…

High Energy Physics - Phenomenology · Physics 2009-07-09 G. Altarelli , R. D. Ball , S. Forte , G. Ridolfi

We report on a general method for the calculation of the frequency-dependent optical response of clusters based upon time-dependent density functional theory (TDDFT). The implementation is done using explicit propagation in the time domain…

Materials Science · Physics 2009-11-07 Argyrios Tsolakidis , Daniel Sanchez-Portal , Richard M. Martin

An analytical model is developed to investigate the interaction of quasi longitudinal (qP) waves with a perfectly bonded interface between a thermo piezoelectric half space and a functionally graded piezoelectric half space. The formulation…

Applied Physics · Physics 2026-01-26 Hriticka Dhiman , Soniya Chaudhary

Besides the relation between the wave vector $\bm k$ and the complex frequency $\omega$, wave polarization is useful for characterizing the properties of a plasma wave. The polarization of the electromagnetic fields, $\delta \bm E$ and…

Plasma Physics · Physics 2021-03-31 Hua-sheng Xie , Richard Denton , Jin-song Zhao , Wen Liu

We derive the second-order approximation (PT2) to the ensemble correlation energy functional by applying the G\"{o}rling-Levy perturbation theory on the ensemble density-functional theory (EDFT). Its performance is checked by calculating…

Computational Physics · Physics 2021-11-17 Zeng-hui Yang

We present the development and implementation of the relativistic coupled cluster linear response theory (CC-LR) which allows the determination of molecular properties arising from time-dependent or time-independent electric, magnetic, or…

In this paper we employ all-electron time dependent density functional theory (TDDFT) to calculate the long range dipole-dipole dispersion coefficient (van der Waals coefficient) $C_{6}$ of alkali-metal atoms Li, Na, K, alkali-metal atom…

Atomic and Molecular Clusters · Physics 2009-11-13 Arup Banerjee , Jochen Autschbach

Density functional theory (DFT) embedding provides a formally exact framework for interfacing correlated wave-function theory (WFT) methods with lower-level descriptions of electronic structure. Here, we report techniques to improve the…

Chemical Physics · Physics 2015-06-12 Jason D. Goodpaster , Taylor A. Barnes , Frederick R. Manby , Thomas F. Miller
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