Advertisement

Introduction

Chapter
  • 208 Downloads
Part of the Springer Series in Chemical Physics book series (CHEMICAL, volume 49)

Abstract

As is well known, the fundamental laws of electronic and nuclear motions determining the structure and properties of molecules and crystals were revealed in the 1930s immediately after the discovery of quantum mechanics. Because of mathematical difficulties encountered in the quantum-mechanical description of polyatomic systems, several essential approximations are usually employed in the solution of the appropriate Schrödinger equation, and among them the adiabatic approximation is the most important [1.1, 2]. This approximation is based on the difference in the masses (and hence velocities) of electrons and nuclei; due to this difference, for every position of the nuclei at any instant a stationary distribution of the electrons is attained. Without the adiabatic approximation the notion of spatial structure (nuclear configuration) becomes uncertain.

Keywords

Structural Phase Transition Nuclear Quadrupole Resonance Adiabatic Approximation Schrodinger Equation Nuclear Motion 
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. 1.1
    M. Born, J.R. Oppenheimer: Ann. Phys. (Leipzig) 84, 457–484 (1927)ADSGoogle Scholar
  2. 1.2
    M. Born, K. Huang: Dynamical Theory of Crystal Lattices (Oxford University Press, New York 1954) Sect. 14, Appendices VII and VIIIzbMATHGoogle Scholar
  3. 1.3
    E. Teller: “An Historical Note”, in The Jahn-Teller Effect in Molecules and Crystals, ed. by R. Englman (Wiley, New York 1972)Google Scholar
  4. 1.4
    J. von Neumann, E. Wigner: Phys. Z. 30, 467–470 (1929)Google Scholar
  5. 1.5
    L.D. Landau, E.M. Lifshitz: Quantum Mechanics: Non-Relatiuistic Theory, 3rd ed., Course of Theoretical Physics, Vol. 3 (Pergamon, Oxford 1977)Google Scholar
  6. 1.6
    H.A. Jahn, E. Teller: Proc. R. Soc. London, Ser. A 161, 220–235 (1937)CrossRefADSGoogle Scholar
  7. 1.7
    J.H. Van Vleck: J. Chem. Phys. 7, 61–71, 72-84 (1939)CrossRefADSGoogle Scholar
  8. 1.8
    W. Low: Paramagnetic Resonance in Solids (Academic, New York 1960)zbMATHGoogle Scholar
  9. 1.9
    M.D. Sturge: “The Jahn-Teller Effect in Solids”, in Solid State Physics, ed. by Seitz D. Turnbull, H. Ehrenreich, Vol. 20 (Academic, New York 1967) pp. 91–211Google Scholar
  10. 1.10
    A. Abragam, B. Bleaney: Electron Paramagnetic Resonance of Transition Ions (Clarendon, Oxford 1970) Chap. 21Google Scholar
  11. 1.11
    I.B. Bersuker: The Jahn-Teller Effect and Vibronic Interactions in Modern Chemistry (Plenum, New York 1984)Google Scholar
  12. 1.12
    F.S. Ham: “Jahn-Teller Effects in Electron Paramagnetic Resonance Spectra”, in Electron Paramagnetic Resonance, ed. by S. Geschwind (Plenum, New York 1972) pp. 1–119Google Scholar
  13. 1.13
    R. Englman: The Jahn-Teller Effect in Molecules and Crystals (Wiley, New York 1972)Google Scholar
  14. 1.14
    G.A. Gehring, K.A. Gehring: Rep. Prog. Phys. 38, 1–89 (1975)CrossRefADSGoogle Scholar
  15. 1.15
    I.B. Bersuker, V. Z. Polinger: Adv. Quantum Chem. 15, 85–160 (1982)CrossRefADSGoogle Scholar
  16. 1.16
    I.B. Bersuker: Coord. Chem. Rev. 14, 357–412 (1975)CrossRefGoogle Scholar
  17. 1.17
    Yu.E. Perlin, B.S. Tsukerblat: The Effects of Electron-Vibrational Interactions in the Optical Spectra of Paramagnetic Impurity Ions (Shtiintsa, Kishinev 1974) [in Russian]Google Scholar
  18. 1.18
    C.A. Bates: Phys. Rep. 35, 187–304 (1978)CrossRefADSGoogle Scholar
  19. 1.19
    I.B. Bersuker, B.G. Vekhter: Ferroelectrics 19, 137–150 (1978)CrossRefGoogle Scholar
  20. 1.20
    Yu.E. Perlin, M. Wagner: The Dynamical Jahn-Teller Effect in Localized Systems (North-Holland, Amsterdam 1984)Google Scholar
  21. 1.21
    J.S. Slonczewski: Phys. Rev. 131, 1596–1610 (1963)CrossRefzbMATHADSGoogle Scholar
  22. 1.22
    C. Abulaffio, J. Irvine: Phys. Lett. B38, 492–494 (1972)ADSGoogle Scholar
  23. 1.23
    B.R. Judd: Can. J. Phys. 52, 999–1044 (1974)ADSGoogle Scholar
  24. 1.24
    B.S. Lee: J. Phys. A 9, 573–580 (1976)ADSGoogle Scholar
  25. 1.25
    L. Allen, J.H. Eberly: Optical Resonance and Two-Level Atoms (Wiley, New York 1975)Google Scholar
  26. 1.26
    B. Duwall, V. Celli: Phys. Rev. 181, 276–286 (1969)ADSGoogle Scholar
  27. 1.27
    I.B. Bersuker (ed.): The Jahn-Teller Effect. A Bibliographic Review (IFI/Plenum, New York 1984)Google Scholar
  28. 1.28
    I.B. Bersuker, I.Ya. Ogurtsov: Adv. Quantum Chem. 18, 1–84 (1986)CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  1. 1.Department of Quantum ChemistryInstitute of Chemistry Academy of Sciences MoSSRKishinevUSSR

Personalised recommendations