Skip to main content

PROGRESS WITH BERTHA: A RELATIVISTIC ATOMIC AND MOLECULAR STRUCTURE PACKAGE

  • Conference paper

Part of the book series: Progress in Theoretical Chemistry and Physics ((PTCP,volume 15))

Abstract

BERTHA is a 4-component relativistic molecular structure program based on relativistic Gaussian (G-spinor) basis sets which is intended to make affordable studies of atomic and molecular electronic structure, particularly of systems containing high-Z elements. This paper reviews some of the novel technical features embodied in the code, and assesses its current status, its potential and its prospects.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. B. Swirles, Proc. Roy. Soc. A 152, 625 (1935); Proc. Roy. Soc. A 157, 680 (1936).

    Google Scholar 

  2. H. M. Quiney, H. Skaane and I. P. Grant, J. Phys. B: At. Mol. Opt Phys. 30, L829 (1997).

    Article  CAS  Google Scholar 

  3. L. E. McMurchie and E. R. Davidson, J. Comput. Phys. 26, 218 (1978).

    Article  CAS  Google Scholar 

  4. E. Engel, R. M. Dreizler, S. Varga and B. Fricke, in Relativistic Effects in Heavy-element Chemistry and Physics (ed. B. A. Hess) (John Wiley and Sons Ltd, Chichester 2003).

    Google Scholar 

  5. H. M. Quiney and I. P. Grant, Int. J. Quant. Chem. 99, 198 (2004).

    Article  CAS  Google Scholar 

  6. J. Meyer, W.-D. Sepp, B. Fricke and A. Rosén, Comput. Phys. Commun. 96, 263 (1996).

    Article  CAS  Google Scholar 

  7. I. P. Grant, in Atomic, Molecular and Optical Physics Handbook (ed. G. W. F. Drake) (American Institute of Physics, Woodberry, New York, 1996).

    Google Scholar 

  8. I. P. Grant and H. M. Quiney in Relativistic Electronic Structure Theory, Part I: Fundamentals (ed. P. Schwerdtfeger). Theoretical and Computational Chemistry, Vol. 11. (Elsevier Science B. V., Amsterdam 2002).

    Google Scholar 

  9. C. Froese Fischer, in Atomic, Molecular and Optical Physics Handbook (ed. G. W. F. Drake) (American Institute of Physics, Woodberry, New York, 1996).

    Google Scholar 

  10. D. M. Brink and G. R. Satchler, Angular Momentum (2nd edition) (Clarendon Press, Oxford, 1968).

    Google Scholar 

  11. J. D. Louck, in Atomic, Molecular and Optical Physics Handbook (ed. G. W. F. Drake) (American Institute of Physics, Woodberry, New York, 1996).

    Google Scholar 

  12. E. U. Condon and G. H. Shortley, Theory of Atomic Spectra (Cambridge University Press, 1935).

    Google Scholar 

  13. H. M. Quiney, J. K. Laerdahl, K. Fægri jr., and T. Saue, Phys. Rev. A 57 920 (1998).

    Article  CAS  Google Scholar 

  14. Y. S. Lee and A. D. McLean, J. Chem. Phys. 76, 735 (1982).

    Article  CAS  Google Scholar 

  15. H. M. Quiney and I. P. Grant, to be published (2005).

    Google Scholar 

  16. I. P. Grant and H. M. Quiney, Phys. Rev. A 62, 22508 (2000).

    Article  Google Scholar 

  17. J. Sucher, Phys. Rev. A 22, 348 (1980); Int, J, Quant. Chem. 25, 3 (1982).

    Article  CAS  Google Scholar 

  18. K. G. Dyall, I. P. Grant and S. Wilson, J. Phys. B.: At. Mol. Phys. 17, 493 (1984).

    Article  CAS  Google Scholar 

  19. I. P. Grant, J. Phys. B.: At. Mol. Phys. 19, 3187 (1986).

    Article  CAS  Google Scholar 

  20. A. Almlöf, J. Chem. Phys. 104, 4685 (1966); G. R. Ahmadi and A. Almlof, Chem. Phys. Lett. 246, 364 (1966).

    Google Scholar 

  21. J. C. Slater, Quantum Theory of Atomic Structure Volume 1 (McGraw-Hill, New York 1960).

    Google Scholar 

  22. A. D,. Becke, J. Chem. Phys. 88, 2547 (1988).

    Article  CAS  Google Scholar 

  23. H. M. Quiney, I. P. Grant and S. Wilson, J. Phys. B.: At. Mol. Phys. 20, 1413 (1987).

    Article  CAS  Google Scholar 

  24. H. M. Quiney, I. P. Grant and S. Wilson, 36, 460 (1987).

    CAS  Google Scholar 

  25. I. P. Grant and H. M. Quiney, Adv. At. Mol. Phys. 23, 37 (1988)

    Article  Google Scholar 

  26. H. M. Quiney, I. P. Grant and S. Wilson, in Many-Body Methods in Quantum Chemistry (Lecture Notes in Chemistry No. 52) (ed. U. Kaldor), p. 307 (Springer-Verlag, Berlin 1989).

    Google Scholar 

  27. H. M. Quiney, I. P. Grant and S. Wilson, J. Phys. B.: At. Mol. Phys. 23, L271 (1990).

    Article  CAS  Google Scholar 

  28. I. P. Grant in The effects of relativity in atoms, molecules and solids (ed. S. Wilson, I. P. Grant and B. L. Gyorffy), p. 17 (Plenum Press, New York 1991); and in Proceedings of the 15the International Conference on X-ray and inner-shell processes (X-90) (ed. T. A. Carlson), p. 46 (AIP Conference Series No. 215, 1990).

    Google Scholar 

  29. H. M. Quiney, H. Skaane and I. P. Grant, Adv. Quant. Chem. 32, 1 (1998).

    Article  CAS  Google Scholar 

  30. I. P. Grant and H. M. Quiney, Int. J. Quant. Chem. 80, 283 (2000).

    Article  CAS  Google Scholar 

  31. H. M. Quiney, H. Skaane and I. P. Grant, Chem. Phys. Lett. 290, 473 (1998).

    Article  CAS  Google Scholar 

  32. T. H. Dunning jr., J. Chem. Phys. 90, 1007 (1989); R. A. Kendall, T. H. Dunning jr. and R. J. Harrison J. Chem. Phys. 96, 6796 (1992).

    Article  CAS  Google Scholar 

  33. H. M. Quiney, H. Skaane and I. P. Grant, J. Phys. B.: At. Mol. Opt. Phys. 31, L85 (1998)

    Article  CAS  Google Scholar 

  34. H. M. Quiney, P. Barletta, G. Tarczay, A. G. Császár, O. L. Polyansky and J. Tennyson, Chem. Phys. Lett. 344, 413 (2001).

    Article  CAS  Google Scholar 

  35. P. Barletta, A. G. Császár, H. M. Quiney and J. Tennyson, Chem. Phys. Lett. 361, 121 (2002).

    Article  CAS  Google Scholar 

  36. H. M. Quiney and P. Belanzoni, J. Chem. Phys. 117, 5550 (2002)

    Article  CAS  Google Scholar 

  37. L. Belpassi, L. Storchi, F. Tarantelli, A. Sgamellotti and H. M. Quiney, Future Generation Computer Systems 20, 739 (2004).

    Article  Google Scholar 

  38. T. Yanai, T. Nakajima, Y. Ishikawa amd K. Hirao, J. Chem. Phys. 114, 6526 (2001).

    Article  CAS  Google Scholar 

  39. T. Yanai, H. Iikura, T. Nakajima, Y. Ishikawa amd K. Hirao, J. Chem. Phys. 115 8267 (2001).

    Article  CAS  Google Scholar 

  40. T. Yanai, T. Nakajima, Y. Ishikawa amd K. Hirao, J. Chem. Phys. 116, 10122 (2002).

    Article  CAS  Google Scholar 

  41. L. Visscher, O. Visser, H. Aerts, H. Merenga and W. C. Nieuwpoort, Comput. Phys. Commun. 81, 120 (1994).

    Article  CAS  Google Scholar 

  42. T. Saue, K. Fægri, T. Helgaker and O. Gropen, Mol. Phys. 91, 937 (1997).

    Article  CAS  Google Scholar 

  43. K. Fægri and K. G. Dyall in Relativistic Electronic Structure Theory, Part I: Fundamentals (ed. P. Schwerdtfeger). Theoretical and Computational Chemistry, Vol. 11. (Elsevier Science B. V., Amsterdam 2002).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer

About this paper

Cite this paper

GRANT, I., QUINEY, H. (2006). PROGRESS WITH BERTHA: A RELATIVISTIC ATOMIC AND MOLECULAR STRUCTURE PACKAGE. In: JULIEN, JP., MARUANI, J., MAYOU, D., WILSON, S., DELGADO-BARRIO, G. (eds) Recent Advances in the Theory of Chemical and Physical Systems. Progress in Theoretical Chemistry and Physics, vol 15. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4528-X_9

Download citation

Publish with us

Policies and ethics