Crossref journal-article
Proceedings of the National Academy of Sciences
Proceedings of the National Academy of Sciences (341)
Abstract

We develop and validate a density functional, XYG3, based on the adiabatic connection formalism and the Görling–Levy coupling-constant perturbation expansion to the second order (PT2). XYG3 is a doubly hybrid functional, containing 3 mixing parameters. It has a nonlocal orbital-dependent component in the exchange term (exact exchange) plus information about the unoccupied Kohn–Sham orbitals in the correlation part (PT2 double excitation). XYG3 is remarkably accurate for thermochemistry, reaction barrier heights, and nonbond interactions of main group molecules. In addition, the accuracy remains nearly constant with system size.

Bibliography

Zhang, Y., Xu, X., & Goddard, W. A. (2009). Doubly hybrid density functional for accurate descriptions of nonbond interactions, thermochemistry, and thermochemical kinetics. Proceedings of the National Academy of Sciences, 106(13), 4963–4968.

Authors 3
  1. Ying Zhang (first)
  2. Xin Xu (additional)
  3. William A. Goddard (additional)
References 39 Referenced 359
  1. 10.1142/3488
  2. A Szabo, NS Ostlund Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory (MacMillan, New York, 1982). / Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory by Szabo A (1982)
  3. 10.1103/PhysRev.136.B864
  4. 10.1103/PhysRev.140.A1133
  5. 10.1139/p80-159
  6. 10.1103/PhysRevA.38.3098
  7. 10.1103/PhysRevB.37.785
  8. 10.1103/PhysRevLett.77.3865
  9. 10.1080/14786430601021660
  10. 10.1063/1.464913
  11. 10.1063/1.473182
  12. 10.1063/1.481336
  13. 10.1021/ol061016i
  14. 10.1007/s00214-007-0310-x
  15. 10.1021/jp050536c
  16. JP Perdew, et al., Prescription for the design and selection of density functional approximations: More constraint satisfaction with fewer fits. J Chem Phys 123, 062201–1-9. (2006). / J Chem Phys / Prescription for the design and selection of density functional approximations: More constraint satisfaction with fewer fits by Perdew JP (2006)
  17. 10.1103/PhysRevLett.100.036401
  18. 10.1063/1.2148954
  19. 10.1103/PhysRevB.47.13105
  20. 10.1103/PhysRevB.15.2884
  21. 10.1103/PhysRevB.13.4274
  22. 10.1103/PhysRevB.59.10461
  23. 10.1063/1.464304
  24. 10.1063/1.472933
  25. 10.1063/1.2179072
  26. 10.1080/00268970110083564
  27. 10.1063/1.460205
  28. 10.1063/1.1626543
  29. 10.1063/1.2800018
  30. 10.1063/1.2370993
  31. 10.1039/b608478h
  32. 10.1103/RevModPhys.80.3
  33. 10.1021/jp045141s
  34. 10.1063/1.2812553
  35. 10.1039/b704725h
  36. 10.1039/b709669k
  37. 10.1063/1.2761878
  38. 10.1063/1.462485
  39. 10.1016/0009-2614(95)01321-0
Dates
Type When
Created 16 years, 5 months ago (March 10, 2009, 9:28 p.m.)
Deposited 3 years, 4 months ago (April 12, 2022, 5:53 p.m.)
Indexed 2 days, 23 hours ago (Aug. 22, 2025, 12:48 a.m.)
Issued 16 years, 4 months ago (March 31, 2009)
Published 16 years, 4 months ago (March 31, 2009)
Published Online 16 years, 4 months ago (March 31, 2009)
Published Print 16 years, 4 months ago (March 31, 2009)
Funders 0

None

@article{Zhang_2009, title={Doubly hybrid density functional for accurate descriptions of nonbond interactions, thermochemistry, and thermochemical kinetics}, volume={106}, ISSN={1091-6490}, url={http://dx.doi.org/10.1073/pnas.0901093106}, DOI={10.1073/pnas.0901093106}, number={13}, journal={Proceedings of the National Academy of Sciences}, publisher={Proceedings of the National Academy of Sciences}, author={Zhang, Ying and Xu, Xin and Goddard, William A.}, year={2009}, month=mar, pages={4963–4968} }