The DOI matches its Crossref record; 16 of the 16 references it cites were found in a registry or an index.
UHF natural orbitals for defining and starting MC-SCF calculations
Abstract
A simple way of generating starting orbitals for multiconfigurational SCF calculations (particularly of the CAS type) is to use the natural orbitals of the unrestricted Hartree–Fock wave function. Significant fractional occupancy of a UHF natural orbital indicates that the orbital should be included in the active space; this is illustrated for symmetrically stretched water, for NO, N2O4, and for the transition state on the Me3CO→Me2CO+CH3 reaction surface. Average natural orbitals should be used if there are several UHF solutions for the same state; this restores symmetry broken at the the UHF level. Configuration selection based on fractional occupation appears to be the basis for a reliable automated procedure. The UHF natural orbitals provide good starting orbitals for the two-configuration SCF and for the 4×4 CAS wave function in stretched F2, H2O2, and C2H6, methane, water, in twisted ethylene, in ozone, and for various CAS wave functions in the first asynchronous transition state of the HCNO+H2C2 1,3-cycloaddition. Comparison is made with the extended Hartree–Fock method.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
A complete active space SCF method (CASSCF) using a density matrix formulated super-CI approach
Roos, B. O., Taylor, P. R., & Sigbahn, P. E. M. (1980) · Chemical Physics · doi:10.1016/0301-0104(80)80045-0 · Cited by 3,983
Methods of Electronic Structure Theory
(1977) · Springer eBooks · doi:10.1007/978-1-4757-0887-5 · Cited by 2,727
Roos, B. O. (1987) · Advances in Chemical Physics · doi:10.1002/9780470142943.ch7 · Cited by 1,574
Canonical Configurational Interaction Procedure
Foster, J. M., & Boys, S. F. (1960) · Reviews of Modern Physics · doi:10.1103/revmodphys.32.300 · Cited by 1,385
Quantum theory of atoms, molecules, and the solid state
Lowdin, P.-O., & Allende, J. R. G. (1966) · Cited by 1,061
Natural Orbitals in the Quantum Theory of Two-Electron Systems
Löwdin, P.-O., & Shull, H. (1956) · Physical Review · doi:10.1103/physrev.101.1730 · Cited by 670
Schlegel, H. B. (1986) · The Journal of Chemical Physics · doi:10.1063/1.450026 · Cited by 666
A Natural Orbital Based Energy Calculation for Helium Hydride and Lithium Hydride
Bender, C. F., & Davidson, E. R. (1966) · The Journal of Physical Chemistry · doi:10.1021/j100880a036 · Cited by 367
The Multiconfiguration Self‐Consistent Field Method
Shepard, R. L. (1987) · Advances in chemical physics · doi:10.1002/9780470142943.ch2 · Cited by 329
MCSCF optimization through combined use of natural orbitals and the brillouin–levy–berthier theorem
Ruedenberg, K., Cheung, L. M., & Elbert, S. T. (1979) · International Journal of Quantum Chemistry · doi:10.1002/qua.560160511 · Cited by 322
Cited by
General atomic and molecular electronic structure system
Schmidt, M. W., Baldridge, K. K., Boatz, J. A., Elbert, S. T., Gordon, M. S., Jensen, J. H., Koseki, S., Matsunaga, N., Nguyen, K. A., Su, S., et al. (1993) · Journal of Computational Chemistry · doi:10.1002/jcc.540141112 · Cited by 20,204
Elucidating reaction mechanisms on quantum computers
Reiher, M., Wiebe, N., Svore, K. M., Wecker, D., & Troyer, M. (2017) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1619152114 · Cited by 745
THE CONSTRUCTION AND INTERPRETATION OF MCSCF WAVEFUNCTIONS
Schmidt, M. W., & Gordon, M. S. (1998) · Annual Review of Physical Chemistry · doi:10.1146/annurev.physchem.49.1.233 · Cited by 678
Computational Approach to Molecular Catalysis by 3d Transition Metals: Challenges and Opportunities
Vogiatzis, K. D., Polynski, M. V., Kirkland, J. K., Townsend, J., Hashemi, A., Liu, C., & Pidko, E. A. (2019) · Chemical Reviews · doi:10.1021/acs.chemrev.8b00361 · Cited by 423
Quantum Computing for Molecular Biology**
Baiardi, A., Christandl, M., & Reiher, M. (2023) · ChemBioChem · doi:10.1002/cbic.202300120 · Cited by 93
Metadata
- Authors
- Pulay, P., & Hamilton, T. P.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 1988-04-15
- Volume
- 88
- Issue
- 8
- Pages
- 4926-4933
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W1999857092
- Cited by
- 276
- References
- 16
- FWCI
- 1.57
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: UHF natural orbitals for defining and starting MC-SCF calculations. https://app.cochat.ai/papers/10.1063/1.454704
- The paper
- Pulay, P., & Hamilton, T. P. (1988). UHF natural orbitals for defining and starting MC-SCF calculations. The Journal of Chemical Physics. https://doi.org/10.1063/1.454704
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.