Citation: SUN Tao, WANG Yi-Bo. Calculation of the Binding Energies of Different Types of Hydrogen Bonds Using GGA Density Functional and Its Long-Range, Empirical Dispersion Correction Methods[J]. Acta Physico-Chimica Sinica, ;2011, 27(11): 2553-2558. doi: 10.3866/PKU.WHXB20111017 shu

Calculation of the Binding Energies of Different Types of Hydrogen Bonds Using GGA Density Functional and Its Long-Range, Empirical Dispersion Correction Methods

SUN Tao ,
WANG Yi-Bo

1.
Key Laboratory of Guizhou High Performance Computational Chemistry, Guiyang 550025, P. R. China; Department of Chemistry, Guizhou University, Guiyang 550025, P. R. China

Received Date: 6 May 2011
Available Online: 19 August 2011
Fund Project: 国家自然科学基金(20463002) (20463002)贵州大学自然科学青年科研基金(2009068)资助项目 (2009068)

We investigated eleven exchange-correlation energy density functionals including generalized gradient approximation (GGA) (PBE, PW91), meta-GGA (M06-L), hyper-GGA (M06-2X, B3LYP, X3LYP), LC-DFT methods (CAM-B3LYP, LC-ωPBE, ωB97X), and density functional theory with dispersion corrections (DFT-D) methods (ωB97X-D, B97-D) for their performance in describing systems with conventional and non-conventional hydrogen bonds. After comparing the results using the benchmark CCSD(T)/aug-cc-pVQZ approach we found that the M06-2X and ωB97X-D functionals provided the most accurate and reliable results for the fifteen systems studied in this work with strong, moderate, and weak hydrogen bonds. It is important to employ an appropriate basis set to predict the binding energy of hydrogen bonds for all DFT methods and we found that the basis set of 6-311++G(2d, 2p) or aug-cc-pVDZ is adequate. The effect of the basis set superposition error (BSSE) is relatively small for the DFT methods tested. All the methods except for ωB97X and ωB97X-D were found to produce equally accurate or even more accurate results without BSSE correction.
- Density functional theory,
- Hydrogen bond,
- Intermolecular interaction,
- Basis set,
- Basis set superposition error
1. [1]
  (1) Pople, J. A.; Head- rdon, M.; Raghavachari, K. J. Chem. Phys. 1987, 87, 5968.
2. [2]
  (2) Head- rdon, M.; Pople, J. A.; Frisch, M. J. Chem. Phys. Lett. 1988, 153, 503.
3. [3]
  (3) Krishnan, R.; Pople, J. A. Int. J. Quantum Chem. 1978, 14, 91.
4. [4]
  (4) Sinnokrot, M. O.; Sherrill, C. D. J. Phys. Chem. A 2006, 110, 10656.
5. [5]
  (5) Parr, R. G.; Yang,W. Density-Functional Theory of Atoms and Molecules. Oxford University Press: New York, 1989.
6. [6]
  (6) Tuma, C.; Boese, A. D.; Handy, N. C. Phys. Chem. Chem. Phys. 1999, 1, 3939.
7. [7]
  (7) Rabuck, A. D.; Scuseria, G. E. Theor. Chem. Acc. 2000, 104, 439.
8. [8]
  (8) Sherer, E. C.; York, D. M.; Cramer, C. J. J. Comput. Chem. 2003, 24, 57.
9. [9]
  (9) Xu, X.; ddard III,W. A. J. Phys. Chem. A 2004, 108, 2305.
10. [10]
  (10) Frey, J. A.; Leutwyler, S. Chimia. 2005, 59, 511.
11. [11]
  (11) Zhao, Y.; Truhlar, D. G. J. Chem. Theory Comput. 2005, 1, 415.
12. [12]
  (12) Xu, X.; ddard,W. A., III. Proc. Natl. Acad. Sci. U. S. A, 2004, 101, 2673.
13. [13]
  (13) Zhao, Y.; Truhlar, D. G. J. Chem. Phys. 2006, 125, 194101.
14. [14]
  (14) Zhao, Y.; Schultz, N. E.; Truhlar, D. G. Theor. Chem. Account. 2008, 120, 215.
15. [15]
  (15) Yanai, T.; Tew, D.; Handy, N. Chem. Phys. Lett. 2004, 393, 51.
16. [16]
  (16) Vydrov, O. A.; Scuseria, G. E. J. Chem. Phys. 2006, 125, 234109.
17. [17]
  (17) Chai, J. D.; Head- rdon, M. J. Chem. Phys. 2008, 128, 084106.
18. [18]
  (18) Grimme, S. J. Comput. Chem. 2004, 25, 1463.
19. [19]
  (19) Chai, J. D.; Head- rdon, M. Phys. Chem. Chem. Phys. 2008, 10, 6615.
20. [20]
  (20) Hohenstein, E. G.; Chill, S. T.; Sherrill, C.D. J. Chem. Theory Comput. 2008, 4, 1996.
21. [21]
  (21) Plumley, J. A.; Dannenberg, J. J. J. Comput. Chem. 2011, 32, 1519.
22. [22]
  (22) Wang, Y. B.; Lin, Z. Y. J. Am. Chem. Soc. 2003, 125, 6072.
23. [23]
  (23) Pauling, L. The Nature of the Chemical Bond, 3rd ed.; Cornell University Press: Ithaca, 1960.
24. [24]
  (24) Takahashi, O.; Kohno, Y.; Nishio, M. Chem. Rev. 2010, 110, 6049.
25. [25]
  (25) Desiraju, G. R.; Steiner, T. The Weak Hydrogen Bond in Structural Chemistry and Biology; Oxford University Press: Oxford, 1999.
26. [26]
  (26) Atwood, J. L.; Steed, J.W. Encyclopedia of Supramolecular Chemistry; Marcel Dekker Inc.: NewYork, 2004; pp 1576-1585.
27. [27]
  (27) Mai, S.W.; Zhou, G. D.; Li,W. J. Advanced Inorganic Structural Chemistry; Peking University Press: Beijing, 2001; pp 330-343.
28. [28]
  [麦松威, 周公度, 李伟基. 高等无机结构化学. 北京: 北京大学出版社. 2001; 330-343.]
29. [29]
  (28) Jurecka, P.; Sponer, J.; Cerny, J.; Hobza, P. Phys. Chem. Chem. Phys. 2006, 8, 1985.
30. [30]
  (29) Perdew, J. P.; Schmidt, K. Density Functional Theory and Its Applications to Materials; American Institute of Physics: New York, 2001; pp 1-20.
31. [31]
  (30) Perdew, J. P.; Burke, K.; Ernzerhof, M. Phys. Rev. Lett. 1996, 77, 3865.
32. [32]
  (31) Perdew, J. P. Electronic Structure of Solids ? 91; Akademie Verlag: Berlin, 1991; pp 11-20.
33. [33]
  (32) Zhao, Y.; Truhlar, D. G. J. Phys. Chem. 2006, 110, 5121.
34. [34]
  (33) Becke, A. D. J. Chem. Phys. 1993, 98, 5648.
35. [35]
  (34) Grimme, S. J. Comp. Chem. 2006, 27, 1787.
36. [36]
  (35) Johnson, E. R.;Wolkow, R. A.; DiLabio, G. A. Chem. Phys. Lett. 2004, 394, 334.
37. [37]
  (36) Krishnan, R.; Binkley, J.S.; Seeger, R.; Pople, J. A. J. Chem. Phys. 1980, 72, 650.
38. [38]
  (37) McLean, A.D.; Chandler, G. S. J. Chem. Phys. 1980, 72, 5639.
39. [39]
  (38) Dunning, Jr. T. H. J. Chem. Phys. 1989, 90, 1007.
40. [40]
  (39) Woon, D. E.; Dunning, Jr. T. H. J. Chem. Phys. 1993, 98, 1358.
41. [41]
  (40) Kendall, R. A.; Dunning, Jr. T. H.; Harrison, R. J. J. Chem. Phys. 1992, 96, 6796.
42. [42]
  (41) Boys, S, F.; Bemardi, F. Mol. Phys. 1970, 19, 553.
43. [43]
  (42) Frisch, M. J.; Trucks, G.W.; Schlegel, H. B.; et al. Gaussian 09, Revision A.01; Gaussian Inc.:Wallingford CT, 2009.
44. [44]
  (43) Werner, H. J.; Knowles, P. J.; Lindh, R.; et al. MOLPRO, version2009.1, University College Cardiff Consultants Ltd.: Cardiff, Wales, 2009.
45. [45]
  (44) Grimme, S. J. Chem. Phys. 2003, 118, 9095.
46. [46]
  (45) Hill, J. G.; Platts, J. A. J. Chem. Theory Comput. 2007, 3, 80.
47. [47]
  (46) Distasio, R. A.; Head- rdon, M. Mol. Phys. 2007, 105, 1073.
48. [48]
  (47) Zhao, Y.; Truhlar, D. G. J. Chem. Theory Comput. 2007, 3, 289.
49. [49]
  (48) Arey, J. S.; Aeberhard, P. C.; Lin, I. C.; Rothlisberger, U. J. Phys. Chem. B 2009, 113, 4726.
50. [50]
  (49) Rothenberg, S.; Schaefer Ⅲ, H. F. J. Chem. Phys. 1971, 54, 2764.
51. [51]
  (50) Li, X. F. An Investigation of the BSSE Corrections at the DFT Level. Master Dissertation, Guizhou University, Guiyang, 2007.
52. [52]
  [李雪芳. DFT水平下BSSE校正问题的研究
53. [53]
  [D]. 硕士学位论文, 贵阳: 贵州大学, 2007.]
54. [54]
  (51) Zhao, Y.; Truhlar, D. G. J. Phys. Chem. A 2005, 109, 5656.
55. [55]
  (52) Zhao, Y.; Schultz, N. E.; Truhlar, D. G. J. Chem. Theory Comput. 2006, 2, 364.
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