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Hartree-Fock Ab Initio Treatment of Crystalline Systems
This book presents a computational scheme for calculating the electronic properties of crystalline systems at an ab-ini tio Hartree-Fock level of approximation. The first chapter is devoted to discussing in general terms the limits and capabilities of this approximation in solid state studies, and to examining the various options that are open for its implementation. The second chapter illustrates in detail the algorithms adopted in one specific computer program, CRYSTAL, to be submitted to QCPE. Special care is given to illustrating the role and in:fluence of computational parameters, because a delicate compromise must always be reached between accuracy and costs. The third chapter describe...
Self-Consistent Fields in Atoms
Self-Consistent Fields in Atoms: Hartree and Thomas-Fermi atoms centers on atomic properties- energy levels, binding energies, how atoms scatter X-rays, what magnetic properties they have, and so on. This book is organized into two parts. Part I contains topics including central field wave functions and angular momentum operators; concept of self-consistent field; Thomas-Fermi atom; energies of atoms and ions; X-ray scattering and electron densities in atoms; and relativistic effects in heavy atoms. Part II discusses the wave mechanics of an atom with a non-Coulomb central field; the calculation of atomic fields; a statistical method for the determination of some atomic properties and the application of this method to the theory of the periodic system of elements; and a simplification of the Hartree-Fock method.
A HARTREE-FOCK PERTURBATION METHOD.
A perturbation method for the one-electron density matrix in the matrix formulation of the Hartree-Fock approximation, is developed. Application of the method requires no knowledge of the eigenvalues and eigenvectors of the unoccupied orbitals. It is applicable to closed shell systems in the restricted Hartree-Fock approximation, and to any system in the unrestricted Hartree-F OCK APPROXIMATION. (Author).
