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The Effective Crystal Field Potential (Hardcover)
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The Effective Crystal Field Potential (Hardcover)
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As it results from the very nature of things, the spherical
symmetry of the surrounding of a site in a crystal lattice or an
atom in a molecule can never occur. Therefore, the eigenfunctions
and eigenvalues of any bound ion or atom have to differ from those
of spherically symmetric respective free ions. In this way, the
most simplified concept of the crystal field effect or ligand field
effect in the case of individual molecules can be introduced.
The conventional notion of the crystal field potential is narrowed
to its non-spherical part only through ignoring the dominating
spherical part which produces only a uniform energy shift of
gravity centres of the free ion terms. It is well understood that
the non-spherical part of the effective potential "seen" by
open-shell electrons localized on a metal ion plays an essential
role in most observed properties. Light adsorption, electron
paramagnetic resonance, inelastic neutron scattering and basic
characteristics derived from magnetic and thermal measurements, are
only examples of a much wider class of experimental results
dependent on it. The influence is discerned in all kinds of
materials containing unpaired localized electrons: ionic crystals,
semiconductors and metallic compounds including materials as
intriguing as high-"Tc" superconductors, or heavy fermion systems.
It is evident from the above that we deal with a widespread effect
relative to all free ion terms except those which can stand the
lowered symmetry, e.g. "S"-terms.
Despite the universality of the phenomenon, the available
handbooks on solid state physics pay only marginal attention to it,
merely making mention of its occurrence. Present understanding of
the origins of the crystal field potential differs essentially from
the pioneering electrostatic picture postulated in the twenties.
The considerable development of the theory that has been put
forward since then can be traced in many regular articles scattered
throughout the literature. The last two decades have left their
impression as well but, to the authors' best knowledge, this period
has not been closed with a more extended review. This has also
motivated us to compile the main achievements in the field in the
form of a book.
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