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F R Manby

Publications and source records attributed to F R Manby.

3 recordsLinked to original sources

Extension of molecular electronic structure methods to the solid state: computation of the cohesive energy of lithium hydride.

We describe a simple strategy for calculating the cohesive energy of certain kinds of crystal using readily available quantum chemistry techniques. The strategy involves the calculation of the electron correlation energies of a hierarchy of free clusters, and the cohesive energy E(coh) is extracted from the constant of proportionality between these correlation energies and the number of atoms in the limit of large clusters. We apply the strategy to the LiH crystal, using the MP2 and CCSD(T) schemes for the correlation energy, and show that for this material E(coh) can be obtained to an accuracy of approximately 30 meV per ion pair. Comparison with the experimental value, after correction for zero-point energy, confirms this accuracy.

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Efficient exact exchange approximations in density-functional theory.

Two approaches to approximate the Slater potential component of local exact exchange of density-functional theory are investigated. The first approach employs density fitting of the electrostatic potential integrals over two occupied orbitals and the other approach approximates the "exact" Slater potential with the potential derived from the Becke-Roussel [Phys. Rev. A. 39, 3761 (1989)] model of the exchange hole. In both cases significant time savings can be achieved for larger systems compared to the calculation of the numerical Slater potential. It is then analyzed how well the orbitals obtained from the various total exchange potentials reproduce Hartree-Fock energies and molecular properties. A large range of atoms and small molecules has been utilized, including the three DNA bases adenine, thymine, and cytosine.

Journal Article↗

Poisson equation in the Kohn-Sham Coulomb problem.

We apply the Poisson equation to the quantum mechanical Coulomb problem for many-particle systems. By introducing a suitable basis set, the two-electron Coulomb integrals become simple overlaps. This offers the possibility of very rapid linear-scaling treatment of the Coulomb contribution to Kohn-Sham theory.

Journal Article↗