Search results for "Linear combination"

showing 10 items of 132 documents

LCAO calculation of neutral defects in GaN

2005

Four well known HF, LDA, GGA and B3LYP Hamiltonians in LCAO approximation have been used in band structure calculations to obtain the main properties of the perfect GaN crystal with hexagonal lattice (C space group). Calculated lattice parameters, elastic constants and the band gap have been compared with the experimental data and the results of other calculations. As a consequence, the GGA Hamiltonian has been chosen, giving the lattice parameters a = 3.20 A, c = 5.20 A, u = 0.377, the bulk modulus B = 206 GPa and the energy gap Eg = 2.7 eV. These results reasonably reproduce the experimental data. For the point defects calculation (VGa, VN, MgGa, ZnGa, CN, and SiN) the supercell model was…

Condensed Matter::Materials ScienceBulk modulusMaterials scienceCondensed matter physicsPerfect crystalLinear combination of atomic orbitalsBand gapLattice (order)Hexagonal latticeElectronic band structureCrystallographic defectphysica status solidi (c)
researchProduct

A Comparative Ab Initio Thermodynamic Study of Oxygen Vacancies in ZnO and SrTiO3: Emphasis on Phonon Contribution

2013

Using a hybrid Hartree–Fock (HF)-DFT method combined with LCAO basis set and periodic supercell approach, the atomic, electronic structure and phonon properties of oxygen vacancies in ZnO and SrTiO3 were calculated and compared. The important role of a ghost basis function centered at the vacant site and defect spin state for SrTiO3 is discussed. It is shown that the use of hybrid functionals is vital for correct reproduction of defects basic properties. The Gibbs free energy of formation of oxygen vacancies and their considerable temperature dependence has been compared for the two oxides. These calculations were based on the polarizability model for the soft mode temperature behavior in S…

Condensed matter physicsChemistryAb initioElectronic structureSurfaces Coatings and FilmsElectronic Optical and Magnetic MaterialsHybrid functionalGibbs free energyCondensed Matter::Materials Sciencesymbols.namesakeGeneral EnergyLinear combination of atomic orbitalsPolarizabilityPhysics::Atomic and Molecular ClustersSupercell (crystal)symbolsPhysics::Chemical PhysicsPhysical and Theoretical ChemistryBasis setThe Journal of Physical Chemistry C
researchProduct

First-principles phonon calculations of Fe4+impurity in SrTiO3

2012

The results of hybrid density functional theory calculations on phonons in Sr(Fe(x)Ti(1-x))O(3) solid solution within the formalism of a linear combination of atomic orbitals are presented. The phonon density of states (DOS) calculated for 6.25% Fe(4+) impurities is reported and defect-induced phonon modes are identified. Based on our calculations and group-theoretical analysis, we suggest for the first time an interpretation of experimentally observed Raman- and IR-active modes.

Condensed matter physicsPhononChemistryPhonon density of statesCondensed Matter PhysicsFormalism (philosophy of mathematics)symbols.namesakeImpurityLinear combination of atomic orbitalsCondensed Matter::SuperconductivitysymbolsGeneral Materials ScienceDensity functional theoryRaman spectroscopySolid solutionJournal of Physics: Condensed Matter
researchProduct

Electron–phonon effects on the direct band gap in semiconductors: LCAO calculations

2002

Abstract Using a perturbative treatment of the electron–phonon interaction, we have studied the effect of phonons on the direct band gap of conventional semiconductors. Our calculations are performed in the framework of the tight-binding linear combination of atomic orbitals (LCAO) approach. Within this scheme we have calculated the temperature and isotopic mass dependence of the lowest direct band gap of several semiconductors with diamond and zincblende structure. Our results reproduce the overall trend of available experimental data for the band gap as a function of temperature, as well as give correctly the mass dependence of the band gap on isotopic. A calculation of conduction band in…

Condensed matter physicsPhononbusiness.industryChemistryBand gapGeneral ChemistryCondensed Matter PhysicsSemimetalCondensed Matter::Materials ScienceSemiconductorTight bindingLinear combination of atomic orbitalsMaterials ChemistryDirect and indirect band gapsDebye–Waller factorbusinessSolid State Communications
researchProduct

Analytic gradients for Mukherjee’s multireference coupled-cluster method using two-configurational self-consistent-field orbitals

2010

Analytic gradients for the state-specific multireference coupled-cluster method suggested by Mahapatra et al. [Mol. Phys. 94, 157 (1998)] (Mk-MRCC) are reported within the singles and doubles approximation using two-configurational self-consistent field (TCSCF) orbitals. The present implementation extends our previous work on Mk-MRCC gradients [E. Prochnow et al., J. Chem. Phys. 131, 064109 (2009)] which is based on restricted Hartree-Fock orbitals and consequently the main focus of the present paper is on the treatment of orbital relaxation at the TCSCF level using coupled-perturbed TCSCF theory. Geometry optimizations on m-arynes and nitrenes are presented to illustrate the influence of t…

Coupled clusterLinear combination of atomic orbitalsChemistryQuantum mechanicsRestricted open-shell Hartree–FockGeneral Physics and AstronomyMolecular orbital theoryMolecular orbitalComplete active spacePhysical and Theoretical ChemistrySlater-type orbitalBasis setThe Journal of Chemical Physics
researchProduct

Pilot applications of internally contracted multireference coupled cluster theory, and how to choose the cluster operator properly.

2011

The internally contracted multireference coupled cluster (icMRCC) method allows a highly accurate description of both static and dynamic correlation with a computational scaling similar to single reference coupled cluster theory. The authors show that the method can lose its orbital invariance and size consistency when no special care is taken in the elimination of redundant excitations. Using the BeH(2) model system, four schemes are compared which differ in their treatment of linear dependencies between excitations of different rank (such as between singles and doubles). While the energy curves agree within tens of μE(h) when truncating the cluster operator at double excitations (icMRCCSD…

Coupled clusterRank (linear algebra)ChemistryOperator (physics)Cluster (physics)General Physics and AstronomySpecial careStatistical physicsPhysical and Theoretical ChemistryAtomic physicsSize consistency and size extensivityLinear combinationEnergy (signal processing)The Journal of chemical physics
researchProduct

<title>Quantum chemistry studies of the O K-edge x-ray absorption in WO<formula><inf><roman>3</roman></inf></f…

2008

In this work we present an interpretation of experimental O K-edge x-ray absorption near edge structure (XANES) in perovskite-type WO3 and AWO3 compounds (A = H and Na) using three different first principles approaches: (i) fullmultiple- scattering (FMS) formalism (the real-space FEFF code), (ii) hybrid density functional theory (DFT) method with partial incorporation of exact Hartree-Fock exchange using formalism of the linear combination of atomic orbitals (LCAO) as implemented in the CRYSTAL code; (iii) plane-wave DFT method using formalism of the projectoraugmented waves (PAW) as implemented in the VASP code.

CrystalK-edgeLinear combination of atomic orbitalsScatteringPlane waveDensity functional theoryQuantum chemistryMolecular physicsXANESSPIE Proceedings
researchProduct

Symmetry and Stability of the Rutile-Based TiO2 Nanowires: Models and Comparative LCAO-Plane Wave DFT Calculations

2012

The rod symmetry groups for monoperiodic (1D) nanostructures have been applied for construction of models for bulk-like titania nanowires (NWs) cut from a rutile-based 3D crystal along the direction of a chosen crystallographic symmetry axis (in this study we consider only Ti atom-centered axes). The most stable [001]-oriented TiO2 NWs with rhombic cross sections are found to display the energetically preferable {110} facets only, while the nanowires with quasi-square sections across the [110] axis are formed by the alternating {110} and {001} facets. For simulations on rutile-based nanowires possessing four different diameters for each NW type, we have performed comparative large-scale ab …

Crystallographic point groupMaterials sciencePlane waveAb initioNanowireSymmetry groupMolecular physicsSymmetry (physics)Surfaces Coatings and FilmsElectronic Optical and Magnetic MaterialsGeneral EnergyComputational chemistryLinear combination of atomic orbitalsDensity functional theoryPhysical and Theoretical ChemistryThe Journal of Physical Chemistry C
researchProduct

Ab initiosimulations on rutile-based titania nanowires

2012

The rod symmetry groups for monoperiodic (1D) nanostructures have been applied for construction of models for bulk-like TiO2 nanowires (NWs) cut from a rutile-based 3D crystal along the chosen [001] and [110] directions of crystallographic axes. In this study, we have considered nanowires described by both the Ti-atom centered rotation axes as well as the hollow site centered axes passing through the interstitial positions between the Ti and O atoms closest to the axes. The most stable [001]-oriented TiO2 NWs with rhombic cross sections are found to display the energetically preferable {110} facets only while the nanowires with quasi-square sections across the [110] axis are formed by the a…

CrystallographyNanostructureLinear combination of atomic orbitalsRutileChemistryAb initioNanowireDensity functional theorySymmetry groupEnergy minimizationMolecular physicsIOP Conference Series: Materials Science and Engineering
researchProduct

Dipolar coupling of nanoparticle-molecule assemblies: An efficient approach for studying strong coupling

2021

Strong light-matter interactions facilitate not only emerging applications in quantum and non-linear optics but also modifications of materials properties. In particular the latter possibility has spurred the development of advanced theoretical techniques that can accurately capture both quantum optical and quantum chemical degrees of freedom. These methods are, however, computationally very demanding, which limits their application range. Here, we demonstrate that the optical spectra of nanoparticle-molecule assemblies, including strong coupling effects, can be predicted with good accuracy using a subsystem approach, in which the response functions of the different units are coupled only a…

Degrees of freedom (statistics)General Physics and AstronomyNanoparticleFOS: Physical sciences010402 general chemistryoptiset ominaisuudet01 natural scienceslinear combination of atomic orbitalstime dependent density functional theorynanorakenteet0103 physical sciencesMesoscale and Nanoscale Physics (cond-mat.mes-hall)MoleculePhysical and Theoretical Chemistryoptical spectroscopyQuantumPhysicssurface optics010304 chemical physicsCondensed Matter - Mesoscale and Nanoscale Physicstiheysfunktionaaliteoriapolarizability0104 chemical sciencesplasmonitRange (mathematics)DipoleChemical physicsDensity functional theorynanoparticlesnanohiukkasetplasmonsMagnetic dipole–dipole interaction
researchProduct