The DOI matches its Crossref record.
Note on an Approximation Treatment for Many-Electron Systems
Abstract
A perturbation theory is developed for treating a system of $n$ electrons in which the Hartree-Fock solution appears as the zero-order approximation. It is shown by this development that the first order correction for the energy and the charge density of the system is zero. The expression for the second-order correction for the energy greatly simplifies because of the special property of the zero-order solution. It is pointed out that the development of the higher approximation involves only calculations based on a definite one-body problem.
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
Cited by
Self-consistent molecular orbital methods. XX. A basis set for correlated wave functions
Krishnan, R., Binkley, J. S., Seeger, R., & Pople, J. A. (1980) · The Journal of Chemical Physics · doi:10.1063/1.438955 · Cited by 17,772
Long-range corrected hybrid density functionals with damped atom–atom dispersion corrections
Chai, J.-D., & Head-Gordon, M. (2008) · Physical Chemistry Chemical Physics · doi:10.1039/b810189b · Cited by 14,648
Kühne, T. D., Iannuzzi, M., Del Ben, M., Rybkin, V. V., Seewald, P., Stein, F., Laino, T., Khaliullin, R. Z., Schütt, O., Schiffmann, F., et al. (2020) · The Journal of Chemical Physics · doi:10.1063/5.0007045 · Cited by 4,468
Kreuer, K.-D., Paddison, S. J., Spohr, E., & Schuster, M. (2004) · Chemical Reviews · doi:10.1021/cr020715f · Cited by 2,187
Unke, O. T., Chmiela, S., Sauceda, H. E., Gastegger, M., Poltavsky, I., Schütt, K. T., Tkatchenko, A., & Müller, K.-R. (2021) · Chemical Reviews · doi:10.1021/acs.chemrev.0c01111 · Cited by 1,647
Minimally augmented Karlsruhe basis sets
Zheng, J., Xu, X., & Truhlar, D. G. (2011) · Theoretical Chemistry Accounts · doi:10.1007/s00214-010-0846-z · Cited by 1,067
Structure, stability, and fragmentation of small carbon clusters
Raghavachari, K., & Binkley, J. S. (1987) · The Journal of Chemical Physics · doi:10.1063/1.453145 · Cited by 638
Bryantsev, V. S., Diallo, M. S., van Duin, A. C. T., & Goddard, W. A. (2009) · Journal of Chemical Theory and Computation · doi:10.1021/ct800549f · Cited by 403
New perspectives in multireference perturbation theory: the n-electron valence state approach
Angeli, C., Pastore, M., & Cimiraglia, R. (2007) · Theoretical Chemistry Accounts · doi:10.1007/s00214-006-0207-0 · Cited by 281
Møller–Plesset perturbation theory: from small molecule methods to methods for thousands of atoms
Cremer, D. (2011) · WIREs Computational Molecular Science · doi:10.1002/wcms.58 · Cited by 274
Mechanism of the Acid-Catalyzed Si−O Bond Cleavage in Siloxanes and Siloxanols. A Theoretical Study
Cypryk, M., & Apeloig, Y. (2002) · Organometallics · doi:10.1021/om011055s · Cited by 219
Witnessing eigenstates for quantum simulation of Hamiltonian spectra
Santagati, R., Wang, J., Gentile, A. A., Paesani, S., Wiebe, N., McClean, J. R., Morley-Short, S., Shadbolt, P. J., Bonneau, D., Silverstone, J. W., et al. (2018) · Science Advances · doi:10.1126/sciadv.aap9646 · Cited by 211
Why δ-Valerolactone Polymerizes and γ-Butyrolactone Does Not
Houk, K. N., Jabbari, A., Hall, H. K., & Alemán, C. (2008) · The Journal of Organic Chemistry · doi:10.1021/jo702567v · Cited by 176
Recent Progress in Quantum Chemistry Modeling on the Pyrolysis Mechanisms of Lignocellulosic Biomass
Hu, B., Zhang, B., Xie, W.-L., Jiang, X.-Y., Liu, J., & Lu, Q. (2020) · Energy & Fuels · doi:10.1021/acs.energyfuels.0c01948 · Cited by 161
Sokolov, I. O., Barkoutsos, P. K., Ollitrault, P. J., Greenberg, D., Rice, J., Pistoia, M., & Tavernelli, I. (2020) · The Journal of Chemical Physics · doi:10.1063/1.5141835 · Cited by 164
Structures of small carbon clusters: Cyclic ground state of C6
Raghavachari, K., Whiteside, R. A., & Pople, J. A. (1986) · The Journal of Chemical Physics · doi:10.1063/1.451444 · Cited by 152
On the structure and thermodynamics of solvated monoatomic ions using a hybrid solvation model
Topol, I. A., Tawa, G. J., Burt, S. K., & Rashin, A. A. (1999) · The Journal of Chemical Physics · doi:10.1063/1.480486 · Cited by 128
Kutzelnigg, W. (1977) · Methods of Electronic Structure Theory · doi:10.1007/978-1-4757-0887-5_5 · Cited by 120
De Meyer, T., Hemelsoet, K., Van Speybroeck, V., & De Clerck, K. (2014) · Dyes and Pigments · doi:10.1016/j.dyepig.2013.10.048 · Cited by 107
Liu, Q., Tossell, J. A., & Liu, Y. (2010) · Geochimica et Cosmochimica Acta · doi:10.1016/j.gca.2010.09.014 · Cited by 105
Rustad, J. R., Nelmes, S. L., Jackson, V. E., & Dixon, D. A. (2008) · The Journal of Physical Chemistry A · doi:10.1021/jp076103m · Cited by 96
Gonzalez-Diaz, H., Arrasate, S., Gomez-SanJuan, A., Sotomayor, N., Lete, E., Besada-Porto, L., & Ruso, J. (2013) · Current Topics in Medicinal Chemistry · doi:10.2174/1568026611313140011 · Cited by 101
Podolyan, Y., Gorb, L., & Leszczynski, J. (2003) · International Journal of Molecular Sciences · doi:10.3390/i4070410 · Cited by 101
Modelling proton tunnelling in the adenine–thymine base pair
Godbeer, A. D., Al-Khalili, J. S., & Stevenson, P. D. (2015) · Physical Chemistry Chemical Physics · doi:10.1039/c5cp00472a · Cited by 78
Gorb, L., Podolyan, Y., & Leszczynski, J. (1999) · Journal of Molecular Structure: THEOCHEM · doi:10.1016/s0166-1280(99)00139-6 · Cited by 75
The Shape of Full Configuration Interaction to Come
Eriksen, J. J. (2021) · The Journal of Physical Chemistry Letters · doi:10.1021/acs.jpclett.0c03225 · Cited by 66
Deprotonation of Water in the Presence of Carboxylate and Magnesium Ions
Katz, A. K., Glusker, J. P., Markham, G. D., & Bock, C. W. (1998) · The Journal of Physical Chemistry B · doi:10.1021/jp9815412 · Cited by 56
Kubicki, J. D., Xiao, Y., & Lasaga, A. C. (1993) · Geochimica et Cosmochimica Acta · doi:10.1016/0016-7037(93)90338-w · Cited by 55
Marchetti, B., & Karsili, T. N. V. (2016) · Physical Chemistry Chemical Physics · doi:10.1039/c5cp06767g · Cited by 48
Schauble, E. A., & Young, E. D. (2021) · Reviews in Mineralogy and Geochemistry · doi:10.2138/rmg.2021.86.04 · Cited by 50
Mechanism of Cis/Trans Equilibration of Alkenes via Iodine Catalysis
Hepperle, S. S., Li, Q., & East, A. L. L. (2005) · The Journal of Physical Chemistry A · doi:10.1021/jp053727o · Cited by 47
Theoretical estimation of the equilibrium distribution of clumped isotopes in nature
Cao, X., & Liu, Y. (2012) · Geochimica et Cosmochimica Acta · doi:10.1016/j.gca.2011.11.021 · Cited by 47
Surface-Catalyzed Oxygen Exchange during Mineral Carbonation in Nanoscale Water Films
Miller, Q. R. S., Dixon, D. A., Burton, S. D., Walter, E. D., Hoyt, D. W., McNeill, A. S., Moon, J. D., Thanthiriwatte, K. S., Ilton, E. S., Qafoku, O., et al. (2019) · The Journal of Physical Chemistry C · doi:10.1021/acs.jpcc.9b02215 · Cited by 42
Plateau Reactions: Double Proton-Transfer Processes with Structureless Transition States
Schweiger, S., & Rauhut, G. (2003) · The Journal of Physical Chemistry A · doi:10.1021/jp0350060 · Cited by 35
Understanding Water–Zeolite Interactions: On the Accuracy of Density Functionals
Stanciakova, K., Louwen, J. N., Weckhuysen, B. M., Bulo, R. E., & Göltl, F. (2021) · The Journal of Physical Chemistry C · doi:10.1021/acs.jpcc.1c04270 · Cited by 35
Boettger, J. D., & Kubicki, J. D. (2021) · Geochimica et Cosmochimica Acta · doi:10.1016/j.gca.2020.09.019 · Cited by 20
A high temperature kinetic study for the thermal unimolecular decomposition of diethyl carbonate
AlAbbad, M., Giri, B. R., Szőri, M., Viskolcz, B., & Farooq, A. (2017) · Chemical Physics Letters · doi:10.1016/j.cplett.2017.07.020 · Cited by 19
Introducing “carborazine” as a novel heterocyclic aromatic species
Srivastava, A. K., & Misra, N. (2015) · New Journal of Chemistry · doi:10.1039/c4nj02089h · Cited by 13
Metadata
- Authors
- Møller, C., & Plesset, M. S.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1934-10-01
- Volume
- 46
- Issue
- 7
- Pages
- 618-622
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W2044940178
- Cited by
- 14,614
- References
- 0
- FWCI
- 2.27
- 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
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.