Unrestricted hartree-fock calculation of the ionization potential of small Hg_n clusters

The ionization potential of small Hg_n clusters has been calculated. For the first time good agreement with experimental results has been obtained. It is shown that interatomic Coulomb interactions are important. The energy of Hg_n^+ is calculated using the unrestricted inhomogeneous Hartree-Fock approximation. As a consequence of a change in the charge distribution in Hg_n^+ , we obtain an abrupt change in the slope of the ionization potential at the critical cluster size n_cr ~ 14. The presented results are expected to be valid for covalent clusters in between ionized van der Waals clusters and metallic clusters.

Solution of the Hartree-Fock equations for atoms and diatomic molecules with the finite element method

The finite element method (FEM) is now developed to solve two-dimensional Hartree-Fock (HF) equations for atoms and diatomic molecules. The method and its implementation is described and results are presented for the atoms Be, Ne and Ar as well as the diatomic molecules LiH, BH, N_2 and CO as examples. Total energies and eigenvalues calculated with the FEM on the HF-level are compared with results obtained with the numerical standard methods used for the solution of the one dimensional HF equations for atoms and for diatomic molecules with the traditional LCAO quantum chemical methods and the newly developed finite difference method on the HF-level. In general the accuracy increases from the LCAO - to the finite difference - to the finite element method.

Accurate Hartree-Fock-Slater calculations on small diatomic molecules with the finite-element method

We report on the self-consistent field solution of the Hartree-Fock-Slater equations using the finite-element method for the three small diatomic molecules N_2, BH and CO as examples. The quality of the results is not only better by two orders of magnitude than the fully numerical finite difference method of Laaksonen et al. but the method also requires a smaller number of grid points.

Spin-polarized Hartree-Fock-Slater calculations in atoms and diatomic molecules with the finite element method

We present spin-polarized Hartree-Fock-Slater calculations performed with the highly accurate numerical finite element method for the atoms N and 0 and the diatomic radical OH as examples.

Solution of the Hartree-Fock-Slater equations for diatomic molecules by the finite-element method

We present the finite-element method in its application to solving quantum-mechanical problems for diatomic molecules. Results for Hartree-Fock calculations of H_2 and Hartree-Fock-Slater calculations for molecules like N_2 and CO are presented. The accuracy achieved with fewer than 5000 grid points for the total energies of these systems is 10^-8 a.u., which is about two orders of magnitude better than the accuracy of any other available method.

Unrestricted Skyrme-tensor time-dependent Hartree-Fock model and its application to the nuclear response from spherical to triaxial nuclei

The nuclear time-dependent Hartree-Fock model formulated in three-dimensional space, based on the full standard Skyrme energy density functional complemented with the tensor force, is presented. Full self-consistency is achieved by the model. The application to the isovector giant dipole resonance is discussed in the linear limit, ranging from spherical nuclei (16O and 120Sn) to systems displaying axial or triaxial deformation (24Mg, 28Si, 178Os, 190W and 238U). Particular attention is paid to the spin-dependent terms from the central sector of the functional, recently included together with the tensor. They turn out to be capable of producing a qualitative change on the strength distribution in this channel. The effect on the deformation properties is also discussed. The quantitative effects on the linear response are small and, overall, the giant dipole energy remains unaffected. Calculations are compared to predictions from the (quasi)-particle random-phase approximation and experimental data where available, finding good agreement

Gaussian basis sets by generator coordinate Hartree-Fock method to ab initio calculations of electron affinities of enolates

The Generator Coordinate Hartree-Fock (GCHF) method is employed to generate uncontracted 15s and 18s11p gaussian basis sets for the H, C and O atoms, respectively. These basis sets are then contracted to 3s and 4s H atom and 6s5p, for C and O atoms by a standard procedure. For quality evaluation of contracted basis sets in molecular calculations, we have accomplished calculations of total and orbital energies in the Hartree-Fock-Roothaaii (HFR) approach for CH, C(2) and CO molecules. The results obtained with the uncontracted basis sets are compared with values obtained with the standard D95, 6-311G basis sets and with values reported in the literature. The 4s and 6s5p basis sets are enriched with polarization and diffuse functions for atoms of the parent neutral systems and of the enolates anions (cycloheptanone enolate, 2,5-dimethyleyelopentanone enolate, 4-heptanone enolate, and di-isopropyl ketone enolate) from the literature, in order to assess their performance in ab initio molecular calculations, and applied for calculations of electron affinities of the enolates. The calculations were performed at the DFT (BLYP and B3LYP) and HF levels and compared with the corresponding experimental values and with those obtained by using other 6-3 1 + +G((*)) and 6-311 + +G((*)) basis sets from literature. For the enolates studied, the differences between the electron affinities obtained with GCHF basis sets, at the B3LYP level, and the experimental values are -0.001, -0,014, -0.001, and -0.001 eV. (C) 2002 Elsevier B.V. B.V. All rights reserved.

H- 'H POT. +' e HE- 'H POT. +' confinados via método Hartree-Fock

Pós-graduação em Ciência e Tecnologia de Materiais - FC

Investigação das características I x V e C x V de NCPS puro, com nitrogênio substitucional carregado (-1 e +1) e com grupos doador (NO2)-aceitador (NH2) através de métodos derivados de hartree-fock

Neste trabalho, fizemos uma investigação sobre o estudo teórico das características I x V e C x V de Nanotubo Carbono de Parede Simples (NCPS) puro, com Nitrogênio substitucional carregado com cargas -1 (caracterizando um indicativo de dopagem tipo n) e +1 (caracterizando um indicativo de dopagem tipo p) e na presença de grupos doador (NO₂)-aceitador (NH₂), através da simulação computacional do estado fundamental de NCPS, bem como de sua estrutura eletrônica e propriedades ópticas, utilizando parametrizações semi-empíricas AM1 (Austin Mudel 1) e ZINDO/S-ClS (Zerner´s lntermediate Neglect of Differential Orbital/Spectroscopic - Cunfiguration lnteraction Single) derivadas da Teoria de Hartree-Fock baseada em técnicas de química quântica. Por meio deste modelo teórico analisamos as propriedades ópticas e eletrônicas, de maior interesse para esses materiais, a fim de se entender a melhor forma de interação desses materiais na fabricação de dispositivos eletrônicos, tais como TECs (Transistores de Efeito de Campo) ou em aplicações em optoeletrônica tais como DEL (Dispositivo Emissor de Luz). Observamos que NCPS com Nitrogênio substitucional apresentam defeitos conformacionais do tipo polarônico. Fizemos as curvas dos espectros UV-visível de Absorção para NCPS armchair e zigzag puro, com Nitrogênio substitucional carregado com cargas (-1 e +1) e na presença de grupos doador (NO₂)-aceitador (NH₂), quando perturbados por intensidades diferentes de campo elétrico. Verificamos que em NCPS zigzag ao aumentarmos a intensidade do campo elétrico, suas curvas sofrem grandes perturbações. Obtivemos as curvas p x E, I x V e C x V para esses NCPS, concluímos que NCPS armchair possui comportamento resistor, pois suas curvas são lineares e zigzag possui comportamento semelhante ao dos dispositivos eletrônicos importantes para o avanço tecnológico. Assim, nossos resultados estão de bom acordo com os resultados experimentais e teóricos de NCPS puro e com Nitrogênio encontrados na literatura.

The generator coordinate method in the unrestricted Hartree-Fock formalism

The generator coordinate method was implemented in the unrestricted Hartree-Fock formalism. Weight functions were built from Gaussian generator functions for 1s, 2s, and 2p orbitals of carbon and oxygen atoms. These weight functions show a similar behavior to those found in the generator coordinate restricted Hartree-Fock method, i.e., they are smooth, continuous, and tend to zero in the limits of integration. Moreover, the weight functions obtained are different for spin-up and spin-down electrons what is a result from spin polarization. (C) 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2012

Il metodo di Hartree-Fock

Il metodo Hartree-Fock permette di determinare approssimativamente la funzione d'onda e l'energia per atomi a più elettroni in uno stato stazionario. Più in generale, si applica a sistemi quantistici a N-corpi, per studiare, ad esempio, gli elettroni nelle molecole e nei solidi. Il punto di partenza di questo metodo è il modello della particella indipendente; sotto questa ipotesi, ogni elettrone del sistema è descritto dalla propria funzione d'onda. Il contributo di D. R. Hartree allo studio della struttura di atomi complessi consiste nell'aver formulato le equazioni per le funzioni d'onda dei singoli elettroni usando argomentazioni intuitive e nell'avere inoltre proposto, per la loro risoluzione, una procedura iterativa basata sul requisito di autoconsistenza. La generalizzazione del suo metodo, che tiene conto del requisito di antisimmetria imposto dal principio di esclusione di Pauli, fu formulata da V. A. Fock e J. C. Slater. Con tale tecnica si assume che la funzione d'onda totale a N-elettroni sia un determinante di Slater, ovvero un prodotto antisimmetrico di orbitali relativi a singoli elettroni. Il determinante di Slater ottimale si ottiene usando il metodo variazionale per individuare i migliori spin-orbitali.

A Hartree-Fock Example Using Helium

The Hartree-Fock method is applied to Helium's electrons to show explicitly how the coupled equations reflect the interactions between electrons.