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Quantitative quantum chemistry
Abstract
We review the current status of quantum chemistry as a predictive tool of chemistry and molecular physics, capable of providing highly accurate, quantitative data about molecular systems. We begin by reviewing wave-function based electronic-structure theory, emphasizing the N-electron hierarchy of coupled-cluster theory and the one-electron hierarchy of correlation-consistent basis sets. Following a discussion of the slow basis-set convergence of dynamical correlation and basis-set extrapolations, we consider the methods of explicit correlation, from the early work of Hylleraas in the 1920s to the latest developments in such methods, capable of yielding high-accuracy results in medium-sized basis sets. Next, we consider the small corrections to the electronic energy (high-order virtual excitations, vibrational, relativistic, and diagonal Born–Oppenheimer corrections) needed for high accuracy and conclude with a review of the composite methods and computational protocols of electronic-structure theory.
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“Quantum chemistry methods have been implemented in classical computation schemes, achieving, for many molecular systems, an accuracy and an efficiency that allow them to be routinely used for predicting the behaviour of molecular systems and interpreting experimental results [83].”
From Quantum computing algorithms: getting closer to critical problems in computational biology (2022) · cites this paper as [83]
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Metadata
- Authors
- Helgaker, T., Klopper, W., & Tew, D. P.
- Affiliations
- University of Oslo (NO)
- Karlsruhe Institute of Technology (DE)
- Corresponding author
- Helgaker, Trygve
- Venue
- Molecular Physics
- Publisher
- Informa UK Limited
- Published
- 2008-08-20
- Volume
- 106
- Issue
- 16-18
- Pages
- 2107-2143
- ISSN
- 0026-8976 (ISSN-L)
- 1362-3028
- OpenAlex
- W1972497948
- Cited by
- 255
- References
- 311
- Citations by year
- 2026: 8 · 2025: 18 · 2024: 16 · 2023: 14 · 2022: 18 · 2021: 7 · 2020: 8 · 2019: 3 · 2018: 15 · 2017: 5 · 2016: 13 · 2015: 12 · 2014: 16 · 2013: 12 · 2012: 21
- FWCI
- 13.32
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Molecular Physics (publishedVersion)
- Explore Bristol Research (publishedVersion)
- Bristol Research (University of Bristol) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Chemical Physics Studies
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Atomic and Molecular Physics
- Physical Sciences › Chemistry › Physical and Theoretical Chemistry › Advanced Physical and Chemical Molecular Interactions
- Keywords
- quantum chemistry, electronic structure theory, coupled-cluster theory, correlation consistent basis sets, basis set extrapolation, dynamic correlation, vibrational corrections, relativistic corrections, diagonal Born-Oppenheimer correction, composite methods
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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 ›
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