Skip to main content

Foundations of AB Initio Theory and Applications to Chemisorption and Bulk Properties using the Cluster Model Approach

From qualitative understanding to quantitative predictions

  • Chapter
Metal-Ligand Interactions in Chemistry, Physics and Biology

Part of the book series: NATO Science Series ((ASIC,volume 546))

  • 592 Accesses

Abstract

The ab initio cluster model approach to chemisorption and bulk properties is presented by first reviewing the modern ab initio methods of electronic structure aimed to obtain N-electron wave functions of increasing complexity. The presentation of these ab initio methods is more academic than technical with emphasis on concepts rather than on the practical implementations. Examples of application of different methods of increasing accuracy to some archetypal problems in Surface Science, Heterogeneous Catalysis and Solid State Physics are given. The examples cover a broad series of situations, from the nature of chemisorption bond of CO and NH3 on Pt(111) to the description of unusual bonding interactions, Pd on MgO(100), where calibration and benchmarks are necessary to develop appropriate computational schemes to model supported catalysts. Finally, we discuss the cluster model approach to magnetic coupling in ionic solids, a very elusive important quantity relevant to the understanding of High-Tc superconductivity.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Encyclopedia of Computational Chemistry, Schleyer, P. V., Allinger, N. L., Clark, T., Gasteiger, J., Kollman, P. A., Schaefer III, H. F. and Schreiner, P. R. (Eds.), (1998) John Willey & Sons, Chichester, UK.

    Google Scholar 

  2. Quantum Chemistry: The Challenge of Transition Metals and Coordination Chemistry, Veillard, A. (Ed.), (1986) NATO ASI Series, Series C: Mathematics and Physics Sciences, Vol. 176, Reidel Publishing Co., Dordrecht.

    Google Scholar 

  3. The Challenge ofd and f Electrons — Theory and Computation, Salahub, D. R. and Zerner, M. C. (Eds.), (1989) ACS Symposium Series 394, American Chemical Society, Wahington, DC.

    Google Scholar 

  4. Roos, B.O., Andersson, K., Fuelscher, M. P., Malmqvist, P.-A., Serrano-Andres, L., Pierloot, K. and Merchan, M., (1996) Adv. Chem. Phys., 93, 219.

    Article  CAS  Google Scholar 

  5. Hartree-Fock Ab Initio Treatment of Crystalline Systems, Pisani, C., Dovesi, R., and Roetti, C. (Eds.), (1988) Lecture Notes in Chemistry Vol. 48, Springer Verlag, Heidelberg.

    Google Scholar 

  6. Cluster Models For Surface and Bulk Phenomena, Pacchioni, G., Bagus, P.S. and Parmigiani, F. (Eds.), (1992) NATO ASI Series, Series B: Physics, Vol. 283 Plenum Press, New York.

    Google Scholar 

  7. Metal-Ligand Interactions: From Atoms, To Clusters, To Surfaces, Salahub, D. R. and Russo, N., (Eds.), (1992) NATO ASI Series, Series C: Mathematical and Physical Sciences, Vol. 378, Kluwer Academic Publishers, Dordrecht

    Google Scholar 

  8. Electronic Properties of Solids using Cluster Methods, Kaplan, T. A. and Mahanti, S. D. (Eds.), (1995) Plenum Press, New York.

    Google Scholar 

  9. Whitten, J. L. and Yang, H., (1996) Surf. Sci. Rep. 24, 59.

    Article  Google Scholar 

  10. Chemisorption and Reactivity on Suported Clusters and Thin Films: Towards an Understanding of Microscopic Processes in Catalysis, Lambert, TR. M. and Pacchioni, G. (Eds.), (1997) NATO ASI Series, Series E: Applied Sciences, Vol. 331, Kluwer Academic Publishers, Dordrecht.

    Google Scholar 

  11. Proceedings of the 6th International Conference on Theoretical Aspects of Heterogeneous Catalysis, Illas, F., Bagus, P. S. and Ricart, J. M. (Eds.) (1997) in J. Mol. Cat. A, 119 (Special issue).

    Google Scholar 

  12. Bagus, P. S. and Illas, F., (1998) The Surface Chemical Bond in Encyclopedia of Computational Chemistry, Schleyer, P. V., Allinger, N. L., Clark, T., Gasteiger, J., Kollman, P. A., Schaefer III, H. F. and Schreiner, P. R. (Eds.), Vol. 4, p. 2870, John Willey & Sons, Chichester, UK.

    Google Scholar 

  13. Bagus, P. S., Illas, F., Sousa, C. and Pacchioni, G., (1995) The Ground and Excited States in Oxides in Electronic Properties of Solids Using Cluster Methods, Kaplan, T. A. and Mahanti, S. D. (Eds.), Plenum Press, New York.

    Google Scholar 

  14. Szabo, A. and Ostlund, N. S., (1982) Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory, Macmillan Publishing Co., Inc., New York.

    Google Scholar 

  15. Dirac, P. A. M., (1958) The Principles of Quantum Mechanics, Oxford University Press, London.

    Google Scholar 

  16. von Neumann, J., (1955) Mathematical Foundations of Quantum Mechanics, Princeton University Press, Princeton.

    Google Scholar 

  17. Cohen-Tannoudji, C., Diu, B. and Laloë, F., (1977) Quantum Mechanics, John Willey & Sons, New York.

    Google Scholar 

  18. Shavitt, I., (1993) Israel J. Chem. 33, 357.

    CAS  Google Scholar 

  19. Bauschlicher, Jr., C. B., Langhoff, S. R. and Taylor, P. R., (1990) Adv. Chem. Phys. 77, 103.

    Article  CAS  Google Scholar 

  20. Gaussian Basis Sets available at vvww.emsl.pnl.aov:2080/forms/basisform.html

    Google Scholar 

  21. Mc Weeny, R., (1992) Methods of Molecular Quantum Mechanics, Academic Press, London.

    Google Scholar 

  22. McWeeny, R., Old and New Approaches in Valence Bond Theory in Valence Bond Theory and Chemical Structure, edited by Klein, D. J. and Trinajstic, N., (1990) Elsevier, Amsterdam.

    Google Scholar 

  23. Ohanessian, G. and Hiberty, P. C., (1987) Chem. Phys. Lett. 137, 437.

    Article  CAS  Google Scholar 

  24. Sini, G., Ohanessian, G., Hiberty, P. C. and Shaik, S. S., (1990) J. Amer. Chem. Soc. 112, 1407.

    Article  CAS  Google Scholar 

  25. Broer, R. and Nieupoort, W. C., (1988) Theor. Chim. Acta 73, 405.

    Article  CAS  Google Scholar 

  26. Knowles, P. J. and Handy, N. C., (1989) J. Chem. Phys. 91, 2396.

    Article  CAS  Google Scholar 

  27. Werner, H.-J. and Knowles, P. J., (1988) J. Chem. Phys. 89, 5803.

    Article  CAS  Google Scholar 

  28. Knowles, P. J. and Werner, H.-J., (1992) Theor. Chim. Acta 84, 95.

    Article  CAS  Google Scholar 

  29. Taylor, P. R., (1992) Accurate Calculations and Calibration, in Lecture Notes in Quantum Chemistry, Roos, B. O. (ed.), Vol. 58, p. 325, Springer-Verlag, Berlin, Heidelberg.

    Google Scholar 

  30. Roothaan, C. C. J., (1951) Rev. Mod. Phys. 23, 69.

    Article  CAS  Google Scholar 

  31. Pople, J. A., Binkley, J. S. and Seeger, R., (1976) Int. J. Quantum Chem. Symp. 10, 1.

    Article  CAS  Google Scholar 

  32. Raghavachari, K., Pople, J. A., Replogle, E. S. and Head-Gordon, M., (1990) J. Phys. Chem. 94, 5579.

    Article  CAS  Google Scholar 

  33. Malrieu, J.-P., Heully, J.L. and Zaitsevskii, A., (1995) Theor. Chim. Acta 90, 167.

    CAS  Google Scholar 

  34. Paldus, J., (1992) Coupled Cluster Theory in Methods of Computational Molecular Physics, Wilson, S. and Diercksen, G. H. F. (Eds.), NATO ASI Series, Series B: Methods in Computational Molecular Physics, Vol. 293, p. 99, Plenum Press, New York.

    Google Scholar 

  35. Peris, G., Planelles, J. and Paldus, J., (1997) Int. J. Quantum Chem. 62, 137.

    Article  CAS  Google Scholar 

  36. Bartlett, R. J. and Purvis, G. D., (1978) Int. J. Quantum Chem. 14, 516.

    Article  Google Scholar 

  37. Purvis, G. D. and Bartlett, R. J., (1982) J. Chem. Phys. 76, 1910.

    Article  CAS  Google Scholar 

  38. Buenker, R. J., Peyerimhoff, S. D. and Butscher, W., (1978) Mol. Phys., 35, 771.

    Article  CAS  Google Scholar 

  39. Peyerimhoff, S. D. and Buenker, R. J., (1972) Chem. Phys. Lett. 16, 235.

    Article  CAS  Google Scholar 

  40. Huron, B., Rancurel, P. and Malrieu, J.-P., (1973) J. Chem. Phys. 75, 5745.

    Article  Google Scholar 

  41. Evangelisti, S., Daudey, J.-P. and Malrieu, J.-P., (1983) Chem. Phys. 75, 91.

    Article  CAS  Google Scholar 

  42. Illas, F., Rubio, J., Ricart, J. M. and Bagus, P. S., (1991) J. Chem. Phys. 95, 1877.

    Article  Google Scholar 

  43. Langhoff, S. R. and Davidson, E. R., (1973) Int. J. Quantum Chem. 7, 999.

    Article  CAS  Google Scholar 

  44. Whitten, J. L. and Hackmeyer, M., (1968) J. Chem. Phys. 51, 5584; ibid 54, 3739.

    Article  Google Scholar 

  45. Andersson, K., (1995) Theor. Chim. Acta 91, 31.

    CAS  Google Scholar 

  46. Andersson, K., Malmqvist, P.-A. and Roos, B. O., (1992) J. Chem. Phys. 96, 1218.

    Article  CAS  Google Scholar 

  47. Lecture Notes in Quantum Chemistry, Roos, B. O. (ed.), (1992) Lecture Notes in Chemistry, Vols. 58 and 59, Springer-Verlag, Berlin, Heidelberg.

    Google Scholar 

  48. Hinze, J., (1973) J. Chem. Phys. 59, 6424.

    Article  CAS  Google Scholar 

  49. Sheppard, R., Shavitt, I. and Simmons, J., (1982) J. Chem. Phys. 76, 543.

    Article  Google Scholar 

  50. Dalgaard, E., Jorgensen, P., (1978) J. Chem. Phys. 69, 3833.

    Article  CAS  Google Scholar 

  51. Roos, B. O., Taylor, P. and Siegbahn, P., (1980) Chem. Phys. 48, 157.

    Article  CAS  Google Scholar 

  52. Siegbahn, P., Heiberg, A., Roos, B. O. and Levy, B., (1980) Phys. Scr. 21, 323.

    Article  CAS  Google Scholar 

  53. User’s manual for MOLCAS 4.0 program.

    Google Scholar 

  54. Gerratt, J., (1971) Adv. At. Mol. Phys. 7, 141.

    Article  Google Scholar 

  55. Cooper, D. L., Gerratt, J. and Raimondi, M., (1988) Int. Rev. Phys. Chem. 7, 59.

    Article  CAS  Google Scholar 

  56. Cooper, D. L., Gerratt, J. and Raimondi, M., (1991) Chem. Rev. 91, 929.

    Article  CAS  Google Scholar 

  57. Pauncz, R., (1979) Spin Eigenfunctions, Plenum Press, New York.

    Book  Google Scholar 

  58. Mulliken, R. S., (1955) J. Chem. Phys. 23, 1833.

    Article  CAS  Google Scholar 

  59. Bader, R. F. W., (1990) Atoms in Molecules: A Quantum Theory, Oxford University Press, Oxford.

    Google Scholar 

  60. Reed, A. E., Curtiss, L. A.and Weinhold, F., (1988) Chem. Rev. 88, 899.

    Article  CAS  Google Scholar 

  61. Dapprich, S. and Frenking, G., (1995) J. Phys. Chem. 99, 9352.

    Article  CAS  Google Scholar 

  62. Nelin, C. J., Bagus, P. S. and Philpott, M. R., (1987) J. Chem. Phys. 87, 2170.

    Article  CAS  Google Scholar 

  63. Davidson, E. R., (1967) J. Chem. Phys. 46, 3320.

    Article  CAS  Google Scholar 

  64. Morokuma, K. J., (1971) J. Chem. Phys. 55, 1236.

    Article  CAS  Google Scholar 

  65. Morokuma, K. J., (1977) Acc. Chem. Res. 10, 249.

    Article  Google Scholar 

  66. Ziegler, T. and Rauk, A., (1977) Theor. Chim. Acta 46, 1.

    CAS  Google Scholar 

  67. Baerends, E. J. and Rozendaal, A., (1986) Analysis of σ-bonding,π-(back)bonding and the synergic effect in cromium hexacarbonyl. Comparison of Hartree-Fock and Xa results for metal-carbon monoxide bonding. Quantum Chemistry: Challenge of transition metal coordination chemistry, Veillard, A. (Ed.), NATO ASI Series, Series C: Mathematical and Physical Sciences, Vol. 176, p. 159, Kluwer Academic Publishers, Dordrecht.

    Google Scholar 

  68. Bagus, P. S., Hermann, K. and Bauschlicher, C. W., (1984) J. Chem. Phys. 80, 4378.

    Article  CAS  Google Scholar 

  69. Bagus, P. S., Hermann, K. and Bauschlicher, C. W., (1984) J. Chem. Phys. 81, 1966.

    Article  CAS  Google Scholar 

  70. Bagus, P. S. and Illas, F., (1992) J. Chem. Phys. 96, 8962.

    Article  CAS  Google Scholar 

  71. Dupuis, M., Johnston, F. and Marquez, A., HONDO 8.5 for CHEM-station. IBM corporation, Neighborhood Road, Kingston, NY 12401. CSOV adaptation by Illas F., Rubio, J. and Marquez, A..

    Google Scholar 

  72. Bagus, P. S., Pacchioni, G. and Philpott, M. R., (1989) J. Chem. Phys. 90, 4827.

    Article  Google Scholar 

  73. Garcia-Hernández, M., Bagus, P. S. and Illas, F., (1998) Surf. Sci. 409, 69.

    Article  Google Scholar 

  74. Bagus, P. S., Clotet, A., Curulla, D., Illas, F. and Ricart, J. M., (1997) J. Mol. Cat. A 119, 3.

    Article  CAS  Google Scholar 

  75. Illas, F., Zurita, S., Rubio, J. and Marquez, A. M., (1995) Phys. Rev. B 52, 12372.

    Article  CAS  Google Scholar 

  76. Illas, F., Zurita S., Márquez, A. M. and Rubio, J., (1997) Surf. Sci. 376, 279.

    Article  CAS  Google Scholar 

  77. Pacchioni, G., Illas, F., Neophytides, S. and Vayenas, C. G., (1998) J. Phys. Chem. 100, 16653.

    Article  Google Scholar 

  78. Pacchioni, G., Ricart, J. M. and Illas, F., (1994) J. Am. Chem. Soc. 116, 10152.

    Article  CAS  Google Scholar 

  79. López, N. and Illas, F., (1998) J. Phys. Chem. B 102, 1430.

    Article  Google Scholar 

  80. Moreira, I. de P. R. and Illas, F., (1997) Phys. Rev. B 55, 4129.

    Article  CAS  Google Scholar 

  81. Winter, N, W. and Pitzer, R. M., (1988) J. Chem. Phys. 89, 446.

    Article  CAS  Google Scholar 

  82. Ibach, H. and Mills, D. L., (1979) Electron Energy Loss Spectroscopy and Surface Vibrations, Academic Press, New York.

    Google Scholar 

  83. Blyholder, G., (1964) J. Phys. Chem. 68, 2772.

    Article  CAS  Google Scholar 

  84. Bagus, P. S. and Müller, W., (1985) Chem. Phys. Lett. 115, 540.

    Article  CAS  Google Scholar 

  85. Müller, W. and Bagus, P. S., (1985) J. Vac. Sci. Technol. A 3, 1623.

    Article  Google Scholar 

  86. Bagus, P. S. and Paccioni, G., (1990) Surf. Sci. 236, 233.

    Article  CAS  Google Scholar 

  87. Illas, F., López, N., García-Hernández, M. and Moreira, I. de P.R., (1998) THEOCHEM in press.

    Google Scholar 

  88. McLean, A. D. and Liu, B., (1983) Chem. Phys. Lett. 101, 144.

    Article  CAS  Google Scholar 

  89. Bauschlicher, C. W. and Taylor, P. R., (1993) Theor. Chim. Acta 86, 13.

    Article  CAS  Google Scholar 

  90. Delley, B. J., (1990) J. Chem. Phys. 92, 508.

    Article  CAS  Google Scholar 

  91. Yudanov, I., Pacchioni, G., Neyman, K. and Rösch, N., (1997) J. Phys. Chem. B 101, 2786.

    Article  CAS  Google Scholar 

  92. Henry, C. R., Meunier, M. and Morel, S., (1990) J. Crystal Grouth 129, 416.

    Article  Google Scholar 

  93. Stirling, A., Gunji, I., Endou, A., Oumi, Y., Kubo, M. and Miyamoto, A., (1997) J. Chem. Soc. Faraday Trans. 93, 1175.

    Article  CAS  Google Scholar 

  94. Illas, F., Casanovas, J., Garcia-Bach, M. A., Caballol, R. and Castell, O., (1993) Phys. Rev. Lett. 71, 3549.

    Article  CAS  Google Scholar 

  95. Miralies, J., Castell, O., Caballol, R. and Malrieu, J.-P., (1993) Chem. Phys. 172, 33.

    Article  Google Scholar 

  96. Lines, M. E., (1967) Phys. Rev. 164, 736.

    Article  CAS  Google Scholar 

  97. Mouesca, J.M., Noodleman, L., Case, D.A. and Lamotte, B., (1995) Inorg. Chem. 34, 4347.

    Article  CAS  Google Scholar 

  98. Mouesca, J.M., Noodleman, L. and Case, D.A., (1995) Int. J. Quantum Chem.: Quantum Biology Symposium 22, 95.

    Article  CAS  Google Scholar 

  99. Noodleman, L. and Case, D. A., (1992) Adv. Inorg. Chem. 38, 423.

    Article  CAS  Google Scholar 

  100. Martin, R. L. and Illas, F., (1997) Phys. Rev. Lett. 79, 1539.

    Article  CAS  Google Scholar 

  101. Illas, F. and Martin, R. L., (1998) J. Chem. Phys. 108, 2519.

    Article  CAS  Google Scholar 

  102. Caballol, R., Castell, O., Illas, F. Moreira, I. de P. R. and Malrieu, J.-P., (1997) J. Phys. Chem. A 101, 7680.

    Article  Google Scholar 

  103. Cano, J., Alemany, P., Alvarez, S., Verdaguer, M. and Ruiz, E., (1998) Chem. Eur. J., 4, 476.

    Article  CAS  Google Scholar 

  104. Ruiz, E., Alemany, P., Alvarez, S. and Cano, J., (1997) Inorg. Chem., 36, 3683.

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Illas, F., López, N., de P. R. Moreira, I., Garcia-Hernández, M. (2000). Foundations of AB Initio Theory and Applications to Chemisorption and Bulk Properties using the Cluster Model Approach. In: Russo, N., Salahub, D.R. (eds) Metal-Ligand Interactions in Chemistry, Physics and Biology. NATO Science Series, vol 546. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4245-8_6

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-4245-8_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6126-8

  • Online ISBN: 978-94-011-4245-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics