Advertisement

Topology of Electron Density and Open Quantum Systems

  • Richard F. W. Bader
Part of the NATO ASI Series book series (NSSB, volume 337)

Abstract

The topology of the distribution of electronic charge in all forms of matter is a consequence of and reflects its atomic nature. It is this fundamental aspect of the electron density distribution that forms the basis for the theory of atoms in molecules that is the subject of my lectures [1,2]. The lectures fall into two parts.

Keywords

Phase Portrait Molecular Graph Bond Critical Point Open Quantum System Virial Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    R. F. W. Bader and P. M. Beddall, J. Chem. Phys. 56: 3320 (1972).ADSCrossRefGoogle Scholar
  2. 2.
    R. F. W. Bader. “Atoms in Molecules — A Quatnum Theory,” Oxford University Press, Oxford (1990).Google Scholar
  3. 3.
    R. F. W. Bader, T. T. Nguyen-Dang and Y. Tal, Rep. Prog. Physics, 44: 893 (1981).MathSciNetADSCrossRefGoogle Scholar
  4. 4.
    R. F. W. Bader and T. T. Nguyen-Dang, Adv. Quantum Chem. 14: 63 (1981).MathSciNetADSCrossRefGoogle Scholar
  5. 5.
    J. Schwinger, Phys. Rev. 82: 914 (1951).MathSciNetADSzbMATHCrossRefGoogle Scholar
  6. 6.
    K. Collard and G. G. Hall, Int. J. Quantum Chem. 12: 623 (1977).CrossRefGoogle Scholar
  7. 7.
    J. Palis and S. Smale, Pure Math. 14: 223 (1970).MathSciNetGoogle Scholar
  8. 8.
    R. Thorn. “Structural Stability and Morphogenesis,” W. A. Benjamin, Reading, Mass. (1975).Google Scholar
  9. 9.
    R. F. W. Bader, Chem. Rev. 91: 893 (1991).CrossRefGoogle Scholar
  10. 10.
    M. E. Eberhart, M. M. Donovan, J. M. McLaren and D. P. Clougherty, Prog. Surface Science 3: 1 (1991).CrossRefGoogle Scholar
  11. 11.
    M. E. Eberhart, D. P. Clougherty and J. M. McLaren, J. Mater. Res. 8: 438 (1993).ADSCrossRefGoogle Scholar
  12. 12.
    M. E. Eberhart, M. M. Donovan and R. A. Outlaw, Phys. Rev. B46: 12744 (1992).ADSGoogle Scholar
  13. 13.
    P. Hohenberg and W. Kohn, Phys. Rev. 136: B864 (1964).MathSciNetADSCrossRefGoogle Scholar
  14. 14.
    J. Reiss and W. Münch, Theor. Chim. Acta. 58: 295 (1981).CrossRefGoogle Scholar
  15. R. F. W. Bader and P. Becker, Chenu Phys. Letters 148: 452 (1988).ADSCrossRefGoogle Scholar
  16. 15.
    R. F. W. Bader, Phys. Rev., submitted (1993).Google Scholar
  17. 16.
    R. P. Feynman, Rev. Mod. Phys. 20: 367 (1948).MathSciNetADSCrossRefGoogle Scholar
  18. W. Yourgrau and S. Mandelstam, “Variational Principles in Dynamics and Quantum Theory,” Dover Publications, Inc., New York (1979).Google Scholar
  19. 17.
    P. A. M. Dirac, “The Principles of QWuantum Mechanics,” 2nd ed. University of Oxford Press, Oxford (1935).Google Scholar
  20. 18.
    S. T. Epstein, J. Chenu Phys. 63: 3573 (1975).ADSCrossRefGoogle Scholar
  21. 19.
    R. F. W. Bader, J. Chem. Phys. 91: 6989 (1989).ADSCrossRefGoogle Scholar
  22. 20.
    E. Schrödinger, Ann. d. Physik 81: 109 (1926).zbMATHCrossRefGoogle Scholar
  23. 21.
    R. F. W. Bader, J. Chem. Phys. 73: 2871 (1980).MathSciNetADSCrossRefGoogle Scholar
  24. 22.
    W. Pauli, in “Handbuch der Physik”, Vol 5, Part 1 S. Flügge, ed., Springer-Verlag, Berlin (1958).Google Scholar
  25. 23.
    R. F. W. Bader and P. L. A. Popelier, Ad. Quantum Chem. 45: 189 (1993).CrossRefGoogle Scholar
  26. 24.
    K. E. Laidig and R. F. W. Bader, J. Chem. Phys. 93: 7213 (1990).ADSCrossRefGoogle Scholar
  27. R. F. W. Bader, T. A. Keith, K. M. Gough and K. E. Laidig, Mol Phys. 75: 1167 (1992).ADSCrossRefGoogle Scholar
  28. 25.
    T. A. Keith and R. F. W. Bader, J. Chem. Phys. 99: 3669 (1993).ADSCrossRefGoogle Scholar
  29. 26.
    R. F. W. Bader and T. A. Keith, J. Chem. Phys. 99: 3683 (1993).ADSCrossRefGoogle Scholar
  30. 27.
    O. H. Nielsen and R. M. Martin, Phys. Rev. B32: 3780 (1985).ADSGoogle Scholar
  31. 28.
    N. Chetty and M. Martin, Phys. Rev. B45: 6074 (1992).ADSGoogle Scholar
  32. 29.
    P. Zeische J. Gräfenstein and O. H. Nielsen, Phys. Rev. B37: 8167 (1988).ADSGoogle Scholar
  33. 30.
    P. Ziesche, Ann.d. Physik 45: 626 (1988).ADSCrossRefGoogle Scholar
  34. P. Zeische J. Gräfenstein and O. H. Nielsen, Physica Scripta, 37: 370 (1988).ADSCrossRefGoogle Scholar
  35. 31.
    C. Chang and R. F. W. Bader, J. Phys. Chem, 96: 1654 (1992).CrossRefGoogle Scholar
  36. 32.
    S. Srebrenik, R. F. W. Bader and T. T. Nguyen-Dang, J. Chem. Phys. 68: 3667 (1978).MathSciNetADSCrossRefGoogle Scholar
  37. 33.
    H. Goldstein. “Classical Mechanics,” Addison-Wesley, Reading, Mass. (1965).Google Scholar

Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Richard F. W. Bader
    • 1
  1. 1.Department of ChemistryMcMaster UniversityHamiltonCanada

Personalised recommendations