Title:
On the accuracy limits of orbital expansion methods: Explicit effects of k-functions on atomic and molecular energies
On the accuracy limits of orbital expansion methods: Explicit effects of k-functions on atomic and molecular energies
| dc.contributor.author | Valeev, Edward F. | en_US |
| dc.contributor.author | Allen, Wesley D. | en_US |
| dc.contributor.author | Hernandez, Rigoberto | en_US |
| dc.contributor.author | Sherrill, C. David | en_US |
| dc.contributor.author | Schaefer, Henry F. | en_US |
| dc.contributor.corporatename | Georgia Institute of Technology. Center for Organic Photonics and Electronics | en_US |
| dc.contributor.corporatename | Georgia Institute of Technology. Center for Computational Molecular Science and Technology | en_US |
| dc.contributor.corporatename | University of Georgia. Center for Computational Quantum Chemistry | en_US |
| dc.date.accessioned | 2013-04-24T20:21:10Z | |
| dc.date.available | 2013-04-24T20:21:10Z | |
| dc.date.issued | 2003-05 | |
| dc.description | © 2003 American Institute of Physics. The electronic version of this article is the complete one and can be found at: http://dx.doi.org/10.1063/1.1566744 | en_US |
| dc.description | DOI: 10.1063/1.1566744 | en_US |
| dc.description.abstract | For selected first- and second-row atoms, correlation-optimized Gaussian k functions have been determined and used in the construction of septuple-ζ basis sets for the correlation-consistent cc-pVXZ and aug-cc-pVXZ series. Restricted Hartree–Fock (RHF) and second-order Møller–Plesset (MP₂ ) total and pair energies were computed for H, N, O, F, S, H₂ , N₂ , HF, H₂ O, and (H₂ O)₂ to demonstrate the consistency of the new septuple-ζ basis sets as extensions of the established (aug)-cc-pVXZ series. The pV7Z and aug-pV7Z sets were then employed in numerous extrapolation schemes on the test species to probe the accuracy limits of the conventional MP₂ method vis-à-vis explicitly correlated (MP2 -R12 /A) benchmarks. For (singlet, triplet) pairs, (X+½)⁻n functional forms with n = (3, 5) proved best for extrapolations. The (mean abs. relative error, std. dev.) among the 73 singlet pair energies in the dataset is (1.96%, 0.54%) and (1.7₂ %, 0.51%) for explicit computations with the pV7Z and aug-pV7Z basis sets, respectively, but only (0.07%, 0.09%) after two-point, 6Z/7Z extrapolations with the (X+½)⁻³ form. The effects of k functions on molecular relative energies were examined by application of the septuple-ζ basis sets to the barrier to linearity and the dimerization energy of water. In the former case, an inherent uncertainty in basis set extrapolations persists which is comparable in size to the error ( ≈ 20 cm⁻¹) in explicit aug-pV7Z computations, revealing fundamental limits of orbital expansion methods in the domain of subchemical accuracy (0.1 kcal mol ⁻¹). | en_US |
| dc.identifier.citation | Valeev, E. F. and Allen, Wesley D. and Hernandez, Rigoberto and Sherrill, C. David and Schaefer, H. F., "On the accuracy limits of orbital expansion methods: Explicit effects of k-functions on atomic and molecular energies," Journal of Chemical Physics, 118, 19, 8594-8610 (May 15 2003) | en_US |
| dc.identifier.doi | 10.1063/1.1566744 | |
| dc.identifier.issn | 0021-9606 | |
| dc.identifier.uri | http://hdl.handle.net/1853/46834 | |
| dc.publisher | Georgia Institute of Technology | en_US |
| dc.publisher.original | American Institute of Physics | en_US |
| dc.subject | Orbital calculations | en_US |
| dc.subject | HF calculations | en_US |
| dc.subject | Perturbation theory | en_US |
| dc.subject | Extrapolation | en_US |
| dc.subject | Convergence of numerical methods | en_US |
| dc.title | On the accuracy limits of orbital expansion methods: Explicit effects of k-functions on atomic and molecular energies | en_US |
| dc.type | Text | |
| dc.type.genre | Article | |
| dspace.entity.type | Publication | |
| local.contributor.author | Sherrill, C. David | |
| local.contributor.corporatename | Center for Organic Photonics and Electronics | |
| relation.isAuthorOfPublication | 771cfa30-1ff7-4a12-b4c7-4f8e93b4860a | |
| relation.isOrgUnitOfPublication | 43f8dc5f-0678-4f07-b44a-edbf587c338f |
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