dc.contributor.author | Lecours, Michael | |
dc.date.accessioned | 2021-09-24 17:17:02 (GMT) | |
dc.date.available | 2021-09-24 17:17:02 (GMT) | |
dc.date.issued | 2021-09-24 | |
dc.date.submitted | 2021-09-13 | |
dc.identifier.uri | http://hdl.handle.net/10012/17516 | |
dc.description.abstract | The efficient calculation of so-called two-electron integrals is an important component for electronic structure calculations on large molecules and periodic systems at both mean field and post-HF, correlated, levels. In this thesis, a new and fairly complicated representation of the Coulomb interaction is presented. The Coulomb potential is partitioned into short and long-range parts. The short-range interactions are treated analytically using conventional density fitting methods. The long-range interactions are treated numerically through either a Fourier transform in spherical coordinates or through a Cartesian multipole expansion. The Fourier transform is used for intermediate distances, while multipole expansions (up to octupole) are used for longer range, with a switching algorithm to decide between the two. In this range-separated representation, the corresponding two-electron Coulomb integrals can be calculated efficiently and the amount of data scales linearly with respect to system size. Hartree-Fock theory is used as an extensive test of the range-separated method, but the same building blocks can be used in correlated calculations like Second-order Moller-Plesset perturbation theory and (Cluster in Molecule) type Coupled Cluster calculations. | en |
dc.language.iso | en | en |
dc.publisher | University of Waterloo | en |
dc.subject | Coulomb potential | en |
dc.subject | range-separated | en |
dc.subject | molecular integrals | en |
dc.title | Compact Sparse Coulomb Integrals using a Range-Separated Potential | en |
dc.type | Doctoral Thesis | en |
dc.pending | false | |
uws-etd.degree.department | Chemistry | en |
uws-etd.degree.discipline | Chemistry | en |
uws-etd.degree.grantor | University of Waterloo | en |
uws-etd.degree | Doctor of Philosophy | en |
uws-etd.embargo.terms | 0 | en |
uws.contributor.advisor | Nooijen, Marcel | |
uws.contributor.advisor | Hopkins, W. Scott | |
uws.contributor.affiliation1 | Faculty of Science | en |
uws.published.city | Waterloo | en |
uws.published.country | Canada | en |
uws.published.province | Ontario | en |
uws.typeOfResource | Text | en |
uws.peerReviewStatus | Unreviewed | en |
uws.scholarLevel | Graduate | en |