Journal of Chemical Physics
The Journal of Chemical Physics
   
 
 
 
Previous Article
Assessment of a new approach for the two-electron cumulant in natural-orbital-functional theory
The Piris natural orbital functional (PNOF) based on a new approach for the two-electron cumulant has been used to predict adiabatic ionization potentials, equilibrium bond distances, and harmonic vib...
Next Article
An Aufbau Ansatz for geminal functional theory
We generalize antisymmetric geminal products to more than just one generating geminal using an Aufbau Ansatz similar to the Hartree-Fock theory. Investigation of Li–, Be, B+, LiH, BeH+, and He2 s...

Intermolecular potentials based on symmetry-adapted perturbation theory with dispersion energies from time-dependent density-functional calculations

J. Chem. Phys. 123, 214103 (2005); doi:10.1063/1.2135288

Published 2 December 2005

You are not logged in to this journal. Log in

Alston J. Misquitta and Rafal Podeszwa
Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716

Bogumil Jeziorski
Department of Chemistry, University of Warsaw, Pasteura 1, 02-093 Warsaw, Poland

Krzysztof Szalewicz
Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716
Recently, three of us have proposed a method [Phys. Rev. Lett. 91, 33201 (2003)] for an accurate calculation of the dispersion energy utilizing frequency-dependent density susceptibilities of monomers obtained from time-dependent density-functional theory (DFT). In the present paper, we report numerical calculations for the helium, neon, water, and carbon dioxide dimers and show that for a wide range of intermonomer separations, including the van der Waals and short-range repulsion regions, the method provides dispersion energies with accuracies comparable to those that can be achieved using the current most sophisticated wave-function methods. If the dispersion energy is combined with (i) the electrostatic and first-order exchange interaction energies as defined in symmetry-adapted perturbation theory (SAPT) but computed using monomer Kohn-Sham (KS) determinants, and (ii) the induction energy computed using the coupled KS static response theory, (iii) the exchange-induction and exchange-dispersion energies computed using KS orbitals and orbital energies, the resulting method, denoted by SAPT(DFT), produces very accurate total interaction potentials. For the helium dimer, the only system with nearly exact benchmark values, SAPT(DFT) reproduces the interaction energy to within about 2% at the minimum and to a similar accuracy for all other distances ranging from the strongly repulsive to the asymptotic region. For the remaining systems investigated by us, the quality of the SAPT(DFT) interaction energies is so high that these energies may actually be more accurate than the best available results obtained with wave-function techniques. At the same time, SAPT(DFT) is much more computationally efficient than any method previously used for calculating the dispersion and other interaction energy components at this level of accuracy. ©2005 American Institute of Physics
History: Received 14 January 2005; accepted 13 October 2005; published 2 December 2005
Permalink: http://link.aip.org/link/?JCPSA6/123/214103/1
BUY THIS ARTICLE   (US$28)
Download HTML Download Sectioned HTML Download PDF (400 kB) View Cart

Supplemental Material

KEYWORDS and PACS

Keywords
PACS
  • 34.20.Gj
    Intermolecular and atom–molecule potentials and forces
  • 31.15.Md
    Perturbation theory (atoms and molecules)
  • 31.15.Ew
    Density-functional theory (atoms and molecules)
  • YEAR: 2005

RELATED DATABASES


To view database links for this article,
you need to log in.
To view database links for this article,
you need to log in.

PUBLICATION DATA

ISSN:
0021-9606 (print)   1089-7690 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (74)

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. B. Jeziorski, R. Moszy[n-acute]ski, and K. Szalewicz, Chem. Rev. (Washington, D.C.) 94, 1887 (1994).
  2. B. Jeziorski and K. Szalewicz, in Handbook of Molecular Physics and Quantum Chemistry, edited by S. Wilson (Wiley, New York, 2003), Vol. 3, p. 232.
  3. R. Bukowski, K. Szalewicz, and C. Chabalowski, J. Phys. Chem. A 103, 7322 (1999).
  4. X. Wu, M. C. Vargas, S. Nayak, V. L. Lotrich, and G. Scoles, J. Chem. Phys. 115, 8748 (2001).
  5. S. Tsuzuki and H. P. Lüthi, J. Chem. Phys. 114, 3949 (2001).
  6. J. Cerny and P. Hobza, Phys. Chem. Chem. Phys. 7, 1624 (2005).
  7. I. Dabkowska, P. Jurecka, and P. Hobza, J. Chem. Phys. 122, 204322 (2005).
  8. R. Bukowski, W. Cencek, P. Jankowski et al., SAPT2002, an ab initio program for many-body symmetry-adapted perturbation theory calculations of intermolecular interaction energies (University of Delaware, Delaware/University of Warsaw, Poland, 2002);
  9. http://www.physics.udel.edu/~szalewic/SAPT/SAPT.html
  10. H. L. Williams and C. F. Chabalowski, J. Phys. Chem. A 105, 646 (2001).
  11. A. J. Misquitta and K. Szalewicz, Chem. Phys. Lett. 357, 301 (2002).
  12. A. Hesselmann and G. Jansen, Chem. Phys. Lett. 357, 464 (2002).
  13. A. Hesselmann and G. Jansen, Chem. Phys. Lett. 362, 319 (2002).
  14. A. J. Misquitta and K. Szalewicz, J. Chem. Phys. 122, 214109 (2005).
  15. A. D. Becke, J. Chem. Phys. 107, 8554 (1997).
  16. F. A. Hamprecht, A. J. Cohen, D. J. Tozer, and N. C. Handy, J. Chem. Phys. 109, 6264 (1998).
  17. A. J. Cohen and N. C. Handy, Chem. Phys. Lett. 316, 160 (2000).
  18. P. J. Wilson, T. J. Bradley, and D. J. Tozer, J. Chem. Phys. 115, 9233 (2001).
  19. C. Adamo and V. Barone, J. Chem. Phys. 110, 6158 (1999).
  20. R. Moszynski, S. M. Cybulski, and G. Chalasinski, J. Chem. Phys. 100, 4998 (1994).
  21. J. G. Angyan, G. Jansen, M. Loos, C. Hattig, and B. A. Hess, Chem. Phys. Lett. 219, 267 (1994).
  22. G. Jansen and A. Hesselmann, J. Phys. Chem. A 105, 11156 (2001).
  23. A. J. Misquitta, B. Jeziorski, and K. Szalewicz, Phys. Rev. Lett. 91, 33201 (2003).
  24. A. Hesselmann and G. Jansen, Chem. Phys. Lett. 367, 778 (2003).
  25. A. D. McLachaln, Proc. R. Soc. London, Ser. A London, Ser. A 271, 387 (1963).
  26. H. C. Longuet-Higgins, Discuss. Faraday Soc. 40, 7 (1965).
  27. E. Zaremba and W. Kohn, Phys. Rev. B 13, 2270 (1976).
  28. Y. Dmitriev and G. Peinel, Int. J. Quantum Chem. 19, 763 (1981).
  29. R. McWeeny, Croat. Chem. Acta 57, 865 (1984).
  30. See EPAPS Document No. E-JCPSA6-123-307544 for the carbon dioxide dimer results. This document can be reached via a direct link in the online article's HTML reference section or via the EPAPS homepage (http://www.aip.org/pubservs/epaps.html). [EPAPS]
  31. R. Podeszwa and K. Szalewicz, Chem. Phys. Lett. 414, 488 (2005).
  32. K. Patkowski, B. Jeziorski, T. Korona, and K. Szalewicz, J. Chem. Phys. 117, 5124 (2002).
  33. K. Patkowski, B. Jeziorski, and K. Szalewicz, J. Chem. Phys. 120, 6849 (2004).
  34. S. Rybak, B. Jeziorski, and K. Szalewicz, J. Chem. Phys. 95, 6576 (1991).
  35. R. Moszynski, B. Jeziorski, A. Ratkiewicz, and S. Rybak, J. Chem. Phys. 99, 8856 (1993).
  36. R. Moszynski, B. Jeziorski, and K. Szalewicz, J. Chem. Phys. 100, 1312 (1994).
  37. R. Moszynski, B. Jeziorski, S. Rybak, K. Szalewicz, and H. L. Williams, J. Chem. Phys. 100, 5080 (1994).
  38. M. Jaszu[n-acute]ski and R. McWeeny, Mol. Phys. 55, 1275 (1985);
  39. M. Jaszu[n-acute]ski and R. McWeeny, Mol. Phys. 57, 1317(E) (1986).
  40. S. Rybak, K. Szalewicz, B. Jeziorski, and M. Jaszunski, J. Chem. Phys. 86, 5652 (1987).
  41. R. Moszy[n-acute]ski, B. Jeziorski, and K. Szalewicz, Int. J. Quantum Chem. 45, 409 (1993).
  42. H. L. Williams, K. Szalewicz, R. Moszynski, and B. Jeziorski, J. Chem. Phys. 103, 4586 (1995).
  43. M. Jeziorska, B. Jeziorski, and J. Cizek, Int. J. Quantum Chem. 32, 149 (1987).
  44. R. Moszy[n-acute]ski, T. G. A. Heijmen, and B. Jeziorski, Mol. Phys. 88, 741 (1996).
  45. M.E. Casida, in Recent Advances in Density-Functional Theory, edited by D. P. Chong (World Scientific, Singapore, 1995), p. 155.
  46. S. M. Colwell, N. C. Handy, and A. M. Lee, Phys. Rev. A 53, 1316 (1996).
  47. A. G. Ioannou, S. M. Colwell, and R. D. Amos, Chem. Phys. Lett. 278, 278 (1997).
  48. R.D. Amos, I.L. Alberts, J.S. Andrews et al., CADPAC: The Cambridge Analytic Derivatives package, A suite of quantum chemistry programs (Cambridge University, Cambridge, 1995), Issue 6.
  49. D. J. Tozer and N. C. Handy, J. Chem. Phys. 109, 10180 (1998).
  50. B. I. Dunlap, J. W. D. Connolly, and J. R. Sabin, J. Chem. Phys. 71, 4993 (1979).
  51. B. I. Dunlap, Phys. Chem. Chem. Phys. 2, 2113 (2000).
  52. M. W. Schmidt, K. K. Baldridge, J. A. Boatz et al., J. Comput. Chem. 14, 1347 (1993).
  53. A. Hesselmann, G. Jansen, and M. Schütz, J. Chem. Phys. 122, 014103 (2005).
  54. R. Bukowski, R. Podeszwa, and K. Szalewicz, Chem. Phys. Lett. 414, 111 (2005).
  55. H. L. Williams, E. M. Mas, K. Szalewicz, and B. Jeziorski, J. Chem. Phys. 103, 7374 (1995).
  56. A.J. Misquitta (unpublished).
  57. R. Bukowski, J. Sadlej, B. Jeziorski, P. Jankowski, K. Szalewicz, S. A. Kucharski, H. L. Williams, and B. S. Rice, J. Chem. Phys. 110, 3785 (1999).
  58. P. E. S. Wormer and H. Hettema, J. Chem. Phys. 97, 5592 (1992);
  59. POLCOR package (University of Nijmegen, The Netherlands, 1992).
  60. A. D. Boese and N. C. Handy, J. Chem. Phys. 114, 5497 (2001).
  61. J. P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996).
  62. E. Fermi and E. Amaldi, Mem. R. Acad. Italia 6, 117 (1934).
  63. S.G. Lias, in NIST Chemistry WebBook, NIST Standard Reference Database Number 69, edited by W. G. Mallard and P. J. Linstrom (National Institute of Standards and Technology, Gaithersburg, 2000);
  64. http://webbook.nist.gov
  65. G. Murdachaew, A. J. Misquitta, R. Bukowski, and K. Szalewicz, J. Chem. Phys. 114, 764 (2001).
  66. R. A. Kendall, T. H. Dunning, Jr., and R. J. Harrison, J. Chem. Phys. 96, 6769 (1992).
  67. D. E. Woon and T. H. Dunning, Jr., J. Chem. Phys. 100, 2975 (1994).
  68. T. Korona, H. L. Williams, R. Bukowski, B. Jeziorski, and K. Szalewicz, J. Chem. Phys. 106, 5109 (1997).
  69. DALTON, a molecular electronic structure program, release 2.0 (University of Oslo, Norway, 2005);
  70. see http://www.kjemi.uio.no/software/dalton/dalton.html
  71. D. M. Bishop and J. Pipin, Int. J. Quantum Chem. 45, 349 (1993).
  72. A. Kumar and W. J. Meath, Mol. Phys. 54, 823 (1985).
  73. G. D. Zeiss and W. J. Meath, Mol. Phys. 33, 1155 (1977).
  74. B. L. Jhanwar and W. J. Meath, Chem. Phys. 67, 185 (1982).
  75. E. M. Mas, K. Szalewicz, R. Bukowski, and B. Jeziorski, J. Chem. Phys. 107, 4207 (1997).
  76. A. Hesselmann and G. Jansen, Phys. Chem. Chem. Phys. 5, 5010 (2003).
  77. F. Weigend, A. Köhn, and C. Hättig, J. Chem. Phys. 116, 3175 (2002).
  78. C. Jamorski, M. E. Casida, and D. R. Salahub, J. Chem. Phys. 104, 5134 (1995).
  79. R. Podeszwa, R. Bukowski, and K. Szalewicz (unpublished).

CITING ARTICLES

For access to citing articles, you need to log in.
For access to citing articles, you need to Log in.