The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Relativistic energies of the ground state of the hydrogen molecule
Abstract
Relativistic corrections, Born–Oppenheimer energies and adiabatic corrections are computed for R ≤ 12.0 bohr for the electronic ground state of the hydrogen molecule. The Born–Oppenheimer potential is slightly lower than ever reported. The problem of linear dependencies in the basis set is removed and the same set is used for all internuclear distances which assures continuity of the results. The radiative corrections are evaluated approximately and—for that purpose—the polarizability of the molecule is also computed. Vibrational energies are computed and— corrected for nonadiabatic effects—compared with experiment for several isotopes. It is argued on the basis of the remaining discrepancies that an improvement in the ab initio nonadiabatic corrections is necessary.
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
Handbook of Mathematical Functions
McQuarrie, D. A. (1966) · American Journal of Physics · doi:10.1119/1.1972842 · Cited by 40,433
Quantum Mechanics of One- and Two-Electron Systems
Bethe, H. A., & Salpeter, E. E. (1957) · Encyclopedia of Physics / Handbuch der Physik · doi:10.1007/978-3-642-45869-9_2 · Cited by 4,594
Tables of Integrals, Series, and Products
Gradshteyn, I. S., Ryzhik, I. M., & Romer, R. H. (1988) · American Journal of Physics · doi:10.1119/1.15756 · Cited by 3,651
Accurate Adiabatic Treatment of the Ground State of the Hydrogen Molecule
Kol/os, W., & Wolniewicz, L. (1964) · The Journal of Chemical Physics · doi:10.1063/1.1725796 · Cited by 650
Self-citationPolarizability of the Hydrogen Molecule
Kol/os, W., & Wolniewicz, L. (1967) · The Journal of Chemical Physics · doi:10.1063/1.1840870 · Cited by 515
Self-citationKol/os, W., Szalewicz, K., & Monkhorst, H. J. (1986) · The Journal of Chemical Physics · doi:10.1063/1.450258 · Cited by 305
Potential-Energy Curve for the B 1Σ u+ State of the Hydrogen Molecule
Kol/os, W., & Wolniewicz, L. (1966) · The Journal of Chemical Physics · doi:10.1063/1.1727598 · Cited by 240
Self-citationNonadiabatic eigenvalues and adiabatic matrix elements for all isotopes of diatomic hydrogen
Schwartz, C., & Le Roy, R. J. (1987) · Journal of Molecular Spectroscopy · doi:10.1016/0022-2852(87)90059-2 · Cited by 210
Radiative Corrections to the Energies of Atoms and Molecules
Garcia, J. D. (1966) · Physical Review · doi:10.1103/physrev.147.66 · Cited by 61
Bethe logarithm and Lamb shift for the hydrogen molecular ion
Bukowski, R., Jeziorski, B., Moszyński, R., & Kołos, W. (1992) · International Journal of Quantum Chemistry · doi:10.1002/qua.560420205 · Cited by 48
Cited by
Random-phase approximation and its applications in computational chemistry and materials science
Ren, X., Rinke, P., Joas, C., & Scheffler, M. (2012) · Journal of Materials Science · doi:10.1007/s10853-012-6570-4 · Cited by 610
Correlated sampling in quantum Monte Carlo: A route to forces
Filippi, C., & Umrigar, C. J. (2000) · Physical Review B · doi:10.1103/physrevb.61.r16291 · Cited by 121
Metadata
- Authors
- Wolniewicz, L.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 1993-08-01
- Volume
- 99
- Issue
- 3
- Pages
- 1851-1868
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W2054092108
- Cited by
- 326
- References
- 11
- FWCI
- 6.87
- 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: Relativistic energies of the ground state of the hydrogen molecule. https://app.cochat.ai/papers/10.1063/1.465303
- The paper
- Wolniewicz, L. (1993). Relativistic energies of the ground state of the hydrogen molecule. The Journal of Chemical Physics. https://doi.org/10.1063/1.465303
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.