Skip to main content

Part of the book series: NATO ASI Series ((ASIC,volume 271))

  • 128 Accesses

Abstract

The truncation of momentum space is a major source of error in the calculation of accurate numerical orbitals for polyatomic systems. We show that coordinate transformations can eliminate this problem. Transformations of both polar and Cartesian coordinates are discussed.

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. C. Froese Fisher, The Hartree-Fock Method for Atoms (Wiley, New York, 1977) and references therein.

    Google Scholar 

  2. E.A. McCullough Jr., Comp.Phys.Rep. 4, 265 (1986) and references therein.

    Article  CAS  Google Scholar 

  3. L. Laaksonen, P. Pyykkö and D. Sundholm, Comp.Phys.Rep. 4, 315 (1986) and references therein.

    Article  Google Scholar 

  4. A.D. Becke, J.Chem.Phys. 76, 6037 (1983)

    Article  Google Scholar 

  5. P. Pyykkö, this proceedings

    Google Scholar 

  6. L. Adamowicz, this proceedings

    Google Scholar 

  7. J. Navaza and G. Tsoucaris, Phys.Rev. A 24, 683 (1981)

    Article  CAS  Google Scholar 

  8. M. Defranceschi, M. Suard and G. Berthier, Comptes Rendus 299, 9 (1984)

    CAS  Google Scholar 

  9. M. Defranceschi, M. Suard and G. Berthier, Int. J. Quantum Chem. 25, 863 (1984)

    Article  CAS  Google Scholar 

  10. M. Defranceschi, M. Suard and G. Berthier, Comptes Rendus Acad. Sci. série II 299, 9 (1984)

    Google Scholar 

  11. G. Berthier, M. Defranceschi, J. Navaza, M. Suard and G. Tsoucaris, Theochem 120, 343 (1985)

    Article  CAS  Google Scholar 

  12. M. Defranceschi and J. Delhalle, Comptes Rendus Acad. Sci. serie II 301, 1405 (1985)

    Google Scholar 

  13. M. Defranceschi and J. Delhalle, Phys. Rev. B 34, 5862 (1986)

    Article  CAS  Google Scholar 

  14. J. Delhalle and M. Defranceschi, Int. J. Quantum Chem S21, 425(1987)

    Google Scholar 

  15. G. Berthier, M. Defranceschi and J. Delhalle, this proceedings

    Google Scholar 

  16. S.A. Alexander and H.J. Monkhorst, Int. J. Quantum Chem. 32, 361 (1987)

    Article  CAS  Google Scholar 

  17. S.A. Alexander, R.L. Coldwell and H.J. Monkhorst, to appear in J. Comp. Phys

    Google Scholar 

  18. W. Rodriguez and Y. Ishikawa, to appear in Chem. Phys. Lett.

    Google Scholar 

  19. W. Rodriguez and Y. Ishikawa, to appear in Int. J. Quantum Chem. Symp. 22

    Google Scholar 

  20. E.N. Lassettre, J. Chem.Phys. 83, 1709 (1985)

    Article  CAS  Google Scholar 

  21. E.N. Lassettre, this proceedings

    Google Scholar 

  22. E. Eisner, CACM 10, 239 (1969)

    Google Scholar 

  23. D. Kolb, private communications

    Google Scholar 

  24. P.J. Davis and P. Rabinowicz, “Methods of Numerical Integration”, (Academic Press, 1975), pages 141–142

    Google Scholar 

  25. Y. Ishikawa, unpublished results

    Google Scholar 

  26. L.V. Kantorovitch, Mat. Sb 41, 235 (1934)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Kluwer Academic Publishers

About this chapter

Cite this chapter

Ishikawa, Y., Alexander, S.A. (1989). Momentum Space Coordinate Transformations and their use in Numerical Orbital Calculations. In: Defranceschi, M., Delhalle, J. (eds) Numerical Determination of the Electronic Structure of Atoms, Diatomic and Polyatomic Molecules. NATO ASI Series, vol 271. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2329-4_18

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-2329-4_18

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7547-3

  • Online ISBN: 978-94-009-2329-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics