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We introduce an orbital free electron density functional approximation based on alchemical perturbation theory. Given convergent perturbations of a suitable reference system, the accuracy of popular self-consistent Kohn-Sham density…

Chemical Physics · Physics 2020-05-27 Guido Falk von Rudorff , O. Anatole von Lilienfeld

Alchemical transformations showed that perturbation theory can be applied also to changes in the atomic nuclear charges of a molecule. The alchemical path that connects two different chemical species involves the conceptualization of a…

Chemical Physics · Physics 2024-03-27 Giorgio Domenichini

In silico design of new molecules and materials with desirable quantum properties by high-throughput screening is a major challenge due to the high dimensionality of chemical space. To facilitate its navigation, we present a unification of…

Chemical Physics · Physics 2018-10-02 Stijn Fias , K. Y. Samuel Chang , O. Anatole von Lilienfeld

We propose to relax geometries throughout chemical compound space (CCS) using alchemical perturbation density functional theory (APDFT). APDFT refers to perturbation theory involving changes in nuclear charges within approximate solutions…

Chemical Physics · Physics 2024-01-10 Giorgio Domenichini , O. Anatole von Lilienfeld

We assess the applicability of Alchemical Perturbation Density Functional Theory (APDFT) for quickly and accurately estimating deprotonation energies. We have considered all possible single and double deprotonations in one hundred small…

Chemical Physics · Physics 2019-12-23 Guido Falk von Rudorff , O. Anatole von Lilienfeld

We assess the predictive power of alchemical perturbations for estimating fundamental properties in ionic crystals. Using density functional theory we have calculated formation energies, lattice constants, and bulk moduli for all sixteen…

Chemical Physics · Physics 2016-05-27 Alisa Solovyeva , O. Anatole von Lilienfeld

Density functional perturbation theory is a well-established method to study responses of molecules and solids, especially responses to atomic displacements or to different perturbing fields (electric, magnetic). Like for density functional…

Materials Science · Physics 2024-02-16 Xavier Gonze , Samare Rostami , Christian Tantardini

We explore the possibility of calculating electronic excited states by using perturbation theory along a range-separated adiabatic connection. Starting from the energies of a partially interacting Hamiltonian, a first-order correction is…

Chemical Physics · Physics 2014-12-15 Elisa Rebolini , Julien Toulouse , Andrew M. Teale , Trygve Helgaker , Andreas Savin

Based on thermodynamic integration we introduce atoms in molecules (AIM) using the orbital-free framework of alchemical perturbation density functional theory (APDFT). Within APDFT, atomic energies and electron densities in molecules are…

Chemical Physics · Physics 2020-06-15 Guido Falk von Rudorff , O. Anatole von Lilienfeld

Present atomic theory provides accurate and reliable results for atoms with a small number of valence electrons. However, most current methods of calculations fail when the number of valence electrons exceeds four or five. This means that…

Atomic Physics · Physics 2024-07-10 M. G. Kozlov , I. I. Tupitsyn , A. I. Bondarev , D. V. Mironova

A very efficient large-order perturbation theory is formulated for the nuclear motion of a linear triatomic molecule. To demonstrate the method, all of the experimentally observed rotational energies, with values of $J$ almost up to 100,…

Chemical Physics · Physics 2009-10-30 Andrei A. Suvernev , David Z. Goodson

We compare the non-linear matter power spectrum in real space calculated analytically from 3rd-order perturbation theory with N-body simulations at 1<z<6. We find that the perturbation theory prediction agrees with the simulations to better…

Astrophysics · Physics 2010-11-11 Donghui Jeong , Eiichiro Komatsu

Cluster perturbation theory is a technique for calculating the spectral weight of Hubbard models of strongly correlated electrons, which combines exact diagonalizations on small clusters with strong-coupling perturbation theory at leading…

Strongly Correlated Electrons · Physics 2009-11-07 D. Sénéchal , D. Pérez , D. Plouffe

We employ analytic QCD (anQCD) approach to analyze the unpolarized nucleon structure function (NSF) in deep inelastic scattering ( DIS ) processes at the next-to-leading order (NLO) accuracy. Considering the unreliable results of underlying…

High Energy Physics - Phenomenology · Physics 2021-10-13 L. Ghasemzadeh , A. Mirjalili , S. Atashbar Tehrani

We investigate the local atomic and electronic structure, thermodynamic stability, and defect chemistry of $A_{6}B_{2}$O$_{17}$ ($A$ = Zr/Hf, $B$ = Nb/Ta) oxides using first-principles density functional theory (DFT) calculations. We…

Materials Science · Physics 2025-09-24 Jacob T. Sivak , R. Jackson Spurling , Jon-Paul Maria , Susan B. Sinnott

Within density-functional theory, perturbation theory~(PT) is the state-of-the-art formalism for assessing the response to homogeneous electric fields and the associated material properties, e.g., polarizabilities, dielectric constants, and…

A general procedure for the optimization of atomic density-fitting basis functions is designed with the balance between accuracy and numerical stability in mind. Given one-electron wavefunctions and energies, weights are assigned to the…

Chemical Physics · Physics 2020-10-13 Dimitri N. Laikov

In density functional theory, charge density is the core attribute of atomic systems from which all chemical properties can be derived. Machine learning methods are promising in significantly accelerating charge density prediction, yet…

Computational Physics · Physics 2024-05-30 Xiang Fu , Andrew Rosen , Kyle Bystrom , Rui Wang , Albert Musaelian , Boris Kozinsky , Tess Smidt , Tommi Jaakkola

We present a high order perturbation approach to quantitatively calculate spectral densities in three distinct steps starting from the model Hamiltonian and the observables of interest. The approach is based on the perturbative continuous…

Strongly Correlated Electrons · Physics 2009-11-10 Christian Knetter , Kai P. Schmidt , Götz S. Uhrig

High-entropy alloys (HEAs) exhibit exceptional catalytic performance due to their complex surface structures. However, the vast number of active binding sites in HEAs, as opposed to conventional alloys, presents a significant computational…

Materials Science · Physics 2024-08-22 Mohamed Hendy , Okan K. Orhan , Homin Shin , Ali Malek , Mauricio Ponga
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