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Semiempirical quantum mechanical methods for noncovalent interactions for chemical and biochemical applications.
Open accessAbstract
Semiempirical (SE) methods can be derived from either Hartree-Fock or density functional theory by applying systematic approximations, leading to efficient computational schemes that are several orders of magnitude faster than ab initio calculations. Such numerical efficiency, in combination with modern computational facilities and linear scaling algorithms, allows application of SE methods to very large molecular systems with extensive conformational sampling. To reliably model the structure, dynamics, and reactivity of biological and other soft matter systems, however, good accuracy for the description of noncovalent interactions is required. In this review, we analyze popular SE approaches in terms of their ability to model noncovalent interactions, especially in the context of describing biomolecules, water solution, and organic materials. We discuss the most significant errors and proposed correction schemes, and we review their performance using standard test sets of molecular systems for quantum chemical methods and several recent applications. The general goal is to highlight both the value and limitations of SE methods and stimulate further developments that allow them to effectively complement ab initio methods in the analysis of complex molecular systems.
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“In the last 10 years, important advances were made in computing hardware (e.g., Graphics Processing Units – GPUs), in the development of quantum algorithms to compute molecular wave functions (Dixon and Merz, 1997; Birgin et al., 2013), the development of more reliable semi-empirical quantum methods (Christensen et al., 2016; Yilmazer and Korth, 2016), and development of new hybrid QM/MM methods (”
From Empirical scoring functions for structure-based virtual screening: applications, critical aspects, and challenges (2018) · cites this paper as Christensen et al., 2016
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“This is particularly true when dealing with systems where the molecular recognition involves bond formation, π-stacking, cation-π, halogen bonding (i.e., σ-hole bonding), and polarization and charge transfer effects (Christensen et al., 2016).”
From Empirical scoring functions for structure-based virtual screening: applications, critical aspects, and challenges (2018) · cites this paper as Christensen et al., 2016
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Generalized Gradient Approximation Made Simple
Perdew, J. P., Burke, K., & Ernzerhof, M. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.3865 · Cited by 215,824
Density-functional thermochemistry. III. The role of exact exchange
Becke, A. D. (1993) · The Journal of Chemical Physics · doi:10.1063/1.464913 · Cited by 103,767
Grimme, S., Antony, J., Ehrlich, S., & Krieg, H. (2010) · The Journal of Chemical Physics · doi:10.1063/1.3382344 · Cited by 59,686
Semiempirical GGA‐type density functional constructed with a long‐range dispersion correction
Grimme, S. (2006) · Journal of Computational Chemistry · doi:10.1002/jcc.20495 · Cited by 31,214
Weigend, F., & Ahlrichs, R. (2005) · Physical Chemistry Chemical Physics · doi:10.1039/b508541a · Cited by 30,761
Zhao, Y., & Truhlar, D. G. (2007) · Theoretical Chemistry Accounts · doi:10.1007/s00214-007-0310-x · Cited by 30,666
Effect of the damping function in dispersion corrected density functional theory
Grimme, S., Ehrlich, S., & Goerigk, L. (2011) · Journal of Computational Chemistry · doi:10.1002/jcc.21759 · Cited by 28,221
Stephens, P. J., Devlin, F. J., Chabalowski, C. F., & Frisch, M. J. (1994) · The Journal of Physical Chemistry · doi:10.1021/j100096a001 · Cited by 23,329
Boys, S. F., & Bernardi, F. (1970) · Molecular Physics · doi:10.1080/00268977000101561 · Cited by 22,304
GROMACS: Fast, flexible, and free
van der Spoel, D., Lindahl, E. R., Hess, B., Groenhof, G., Mark, A. E., & Berendsen, H. J. C. (2005) · Journal of Computational Chemistry · doi:10.1002/jcc.20291 · Cited by 19,461
Flagged first, then by citations
Research works printed but not linked: 6
- Weinhold, 2005, Valency and Bonding
- Elstner, 1998, Self-Consistent-Charge Density-Functional Tight-Binding Method for Simulations of Complex Materials Properties, Phys. Rev. B: Condens. Matter Mater. Phys., 58, 7260, 10.1103/PhysRevB.58.7260 · DOI
- Muto, 1943, Forces Between Nonpolar Molecules, J. Phys.-Math. Soc. Jpn., 17, 629
- Řezáč, 2012, Benchmark Calculations of Noncovalent Interactions of Halogenated Molecules, J. Chem. Theory Comput., 8, 4285, 10.1021/ct300647k · DOI
- Frisch, 2009, Gaussian 09
- Tvaroška, 1987, Theoretical Studies on the Conformation of Saccharides XI. Stereochemistry of Methyl α- and Methyl β-d-glucopyranosides in Solution, Chem. Pap., 41, 501
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Chiral molecules and the electron spin
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Guedes, I. A., Pereira, F. S. S., & Dardenne, L. E. (2018) · Frontiers in Pharmacology · doi:10.3389/fphar.2018.01089 · Cited by 331
CHARMM at 45: Enhancements in Accessibility, Functionality, and Speed
Hwang, W., Austin, S. L., Blondel, A., Boittier, E. D., Boresch, S., Buck, M., Buckner, J., Caflisch, A., Chang, H.-T., Cheng, X., et al. (2024) · The Journal of Physical Chemistry B · doi:10.1021/acs.jpcb.4c04100 · Cited by 136
Self-citationGeneralized Density-Functional Tight-Binding Repulsive Potentials from Unsupervised Machine Learning
Kranz, J. J., Kubillus, M., Ramakrishnan, R., von Lilienfeld, O. A., & Elstner, M. (2018) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.7b00933 · Cited by 63
Self-citationRecent advances in automated protein design and its future challenges
Setiawan, D., Brender, J., & Zhang, Y. (2018) · Expert Opinion on Drug Discovery · doi:10.1080/17460441.2018.1465922 · Cited by 26
Metadata
- Authors
- Christensen, A. S., Kubař, T., Cui, Q., & Elstner, M.
- Affiliations
- University of Wisconsin–Madison (US)
- Karlsruhe Institute of Technology , , Kaiserstrasse 12 , ,
- Karlsruhe Institute of Technology (DE)
- Corresponding author
- Cui, Qiang
- Elstner, Marcus
- Venue
- Chemical Reviews
- Publisher
- American Chemical Society (ACS)
- Published
- 2016-04-13
- Volume
- 116
- Issue
- 9
- Pages
- 5301-5337
- ISSN
- 0009-2665 (ISSN-L)
- 1520-6890
- PMC
- PMC4867870
- OpenAlex
- W2337403656
- Cited by
- 446
- References
- 336
- Citations by year
- 2026: 25 · 2025: 54 · 2024: 51 · 2023: 48 · 2022: 59 · 2021: 52 · 2020: 46 · 2019: 35 · 2018: 36 · 2017: 25 · 2016: 13
- FWCI
- 1.85
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Locations
- Chemical Reviews (publishedVersion, other-oa)
- PubMed Central (publishedVersion)
- PubMed (publishedVersion)
- Funders
- National Institute of General Medical Sciences (R01-GM106443)
- Division of Chemistry (CHE-1300209)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Chemical Physics Studies
- Physical Sciences › Chemistry › Physical and Theoretical Chemistry › Crystallography and molecular interactions
- Physical Sciences › Chemistry › Physical and Theoretical Chemistry › Advanced Physical and Chemical Molecular Interactions
- Keywords
- non-covalent interactions, biomolecules, aqueous solutions, organic materials, soft matter, conformational sampling, linear-scaling methods, large molecular systems
- MeSH terms
- Algorithms, Ligands, Metals, Peptides, Proteins, Quantum Theory, Water
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