Magnetic Ions in Solids

  • B. Di Bartolo
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 8)


This series of four lectures present in a comprehensive way the energy levels of ions in solids. The first lecture deals with basic concepts of group theory and with the interrelations between group theory and quantum mechanics. The second lecture starts with the consideration of the groups of interest for free atoms and atoms in a homogeneous magnetic field; the concept of a complete set of commuting operators is stressed. The energy levels of atoms are then considered with a perturbational approach making use of both symmetry and quantum mechanical concepts. The third lecture deals with magnetic ions in solids; the concept of crystalline field is introduced. By proper use of symmetry concepts and of the complete set of commuting operators, the various schemes (weak field, intermediate field, strong field) corresponding to the strength of the crystalline interaction are treated. The last lecture deals with the effect of covalent bonding on the energy levels of magnetic ions in crystalline solids; this more comprehensive treatment of ions in crystals illustrates the occurrence of states generally high in energy which produce very strong absorption transitions and that are associated with the phenomenon of charge transfer.


Irreducible Representation Electronic Configuration Crystalline Field Ligand Orbital Internuclear Axis 
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  1. 1.
    E. P. Wigner, Group Theory and its Applications to Quantum Mechanics of Atomic Spectra, Academic Press, New York and London 1959.Google Scholar
  2. 2.
    V. Heine, Group Theory in Quantum Mechanics, Pergamon Press, New York, London, Oxford, Paris 1960.MATHGoogle Scholar
  3. 3.
    M. Tinkham, Group Theory and Quantum Mechanics, McGraw Hill, New York — San Francisco — Toronto — London 1964.MATHGoogle Scholar
  4. 4.
    C. J. Ballhausen, Introduction to Ligand Field Theory, McGraw Hill, London — New York 1962.MATHGoogle Scholar
  5. 5.
    B. Di Bartolo, Optical Interactions in Solids, Wiley, New York, 1968.Google Scholar
  6. 6.
    H. L. Schlafer and G. Gliemann, Basic Principles of Ligand Field Theory, Wiley — Interscience, London, New York — Sydney —Toronto 1969.Google Scholar
  7. 7.
    C. J. Ballhausen and H. B. Gray, Molecular Orbital Theory, Benjamin, New York 1965.Google Scholar
  8. 8.
    D. S. McClure, “Electronic Spectra of Molecules and Ions in Crystals. Part II. Spectra of Ions in Crystals,” in Solid State Physics, vol. 9, E. Seitz and D. Turhbull editors, Academic Press, New York 1959.Google Scholar
  9. 9.
    J. Teltow, “Das Liniehafte Absroptionsspektrum des Bichromations bei 20°K,” Z. Physik Chem.B43, 375 (1939); also “Die Absorptionsspektrum des Permanganatchromat-, Vanadat- und Manganations in Kristallen,” Z. Physik Chem. B43, 198 (1939).Google Scholar
  10. 10.
    M. Wolfsberg and L. Helmholz, “The Spectra and Electronic Structure of the Tetrahedral Ions MnO4 -, CrO4 - and ClO4 -”, J. Chem. Phys. 20, 837 (1952).ADSCrossRefGoogle Scholar
  11. 11.
    F. D. S. Butement, “Absorption and Fluorescence Spectra of Samarium, Europium and Ytterbium,” Trans. Faraday Soc.44, 6l7 (1948).CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1975

Authors and Affiliations

  • B. Di Bartolo
    • 1
  1. 1.Department of PhysicsBoston CollegeChestnut HillUSA

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