Abstract
The approximations made in the analysis of the spectra of ions are not new. In fact, they go back to the old Bohr orbit theory. Since many readers may not be familiar with these assumptions and may not remember many of the concepts and most of the technical jargon used in the field of atomic spectra, we review some of these briefly. We stick strictly to those concepts which apply to transition-metal ions and rare-earth ions.
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Annotated Bibliography and References
Bishton, S. S., and D. J. Newman (1970), Parametrization of the Correlation Crystal Field, J. Phys. C 3, 1753.
Carnall, W. T., H. Crosswhite, and H. M. Crosswhite (1978), Energy Level Structure and Transition Probabilities in the Spectra of the Trivalent Lanthanides in LaF3, Argonne National Laboratory, ANL-78-XX-95.
Condon, E. U., and H. Odabasi (1980), Atomic Structure, Cambridge University Press, Cambridge, U.K., chapters 5 and 8.
Condon, E. U., and G. H. Shortley (1959), The Theory of Atomic Spectra, Cambridge University Press, Cambridge, England.
Cowan, R. D., and D. C. Griffin (1976), Approximate Relativistic Corrections to Atomic Radial Wave Functions, J. Opt. Soc. Am. 66, 1010.
Dieke, G. H. (1968), Spectra and Energy Levels of Rare Earth Ions in Crystals, Interscience, New York, NY, p 200.
Dieke, G. H., and H. M. Crosswhite (1963), The Spectra of the Doubly and Triply Ionized Rare Earths, Appl. Opt. 2, 675.
Fraga, S., K. M. S. Saxena, and J. Karwowski (1976), Physical Science Data 5, Handbook of Atomic Data, Elsevier, New York, NY.
Freeman, A. J., and R. E. Watson (1962), Theoretical Investigation of Some Magnetic and Spectroscopic Properties of Rare-Earth Ions, Phys. Rev. 127, 2058.
Judd, B. R. (1963), Operator Techniques in Atomic Spectroscopy, McGraw-Hill, New York, NY. Chapters 1, 2, 3, and 4 are very pertinent to this section.
Low, W. (1958a), Paramagnetic and Optical Spectra of Divalent Nickel in Cubic Crystalline Fields, Phys. Rev. 109, 247.
Low, W. (1958b), Paramagnetic and Optical Spectra of Divalent Cobalt in Cubic Crystalline Fields, Phys. Rev. 109, 256.
Morrison, C. A. (1980, January 15), Host Dependence of the Rare-Earth Ion Energy Separation 4FN — 4FN-1nJℓ, J. Chem. Phys. 72, 1001.
Morrison, C. A., and R. P. Leavitt (1982), Spectroscopic Properties of Triply Ionized Lanthanides in Transparent Host Materials, in Volume 5, Handbook of the Physics and Chemistry of Rare Earths, ed. by K. A. Gschneidner, Jr., and L. Eyring, North-Holland Publishers, New York, NY.
Morrison, C. A., D. R. Mason, and C. Kikuchi (1967), Modified Slater Integrals for an Ion in a Solid, Phys. Lett. 24A, 607.
Newman, D. J. (1973), Slater Parameter Shifts in Substituted Lanthanide Ions, J. Phys. Chem. Solids 34, 541.
Nielson, C. W., and G. F. Koster (1963), Spectroscopic Coefficients for pn, dn and fn Configurations, MIT Press, Cambridge, MA.
Schiff, L. I. (1968), Quantum Mechanics, 3rd ed., McGraw-Hill, New York, NY.
Trees, R. E. (1964), 4f3 and 4f25d Configuration of Doubly Ionized Praseodymium (Pr III), J. Opt. Soc. Am. 54, 651.
Uylings, P. H. M., A. J. J. Raassen, and J. F. Wyart (1984), Energies of N Equivalent Electrons Expressed in Terms of Two-Electron Energies and Independent Three-Electron Parameters: A New Complete Set of Orthogonal Operators: II.—Application of 3dN Configurations, J. Phys. B17, 4103.
Wortman, D. E., R. P. Leavitt, and C. A. Morrison (1973, December), Analysis of the Ground Configuration of Trivalent Thulium in Single-Crystal Yttrium Vanadate, Harry Diamond Laboratories, HDL-TR-1653.
Wybourne, B. G. (1965), Spectroscopic Properties of Rare Earths, Wiley, New York, NY, p 72.
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Morrison, C.A. (1988). Free-Ion Hamiltonian Unfilled Configuration nℓN [N < 2(2ℓ + 1)]. In: Angular Momentum Theory Applied to Interactions in Solids. Lecture Notes in Chemistry, vol 47. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93376-9_7
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DOI: https://doi.org/10.1007/978-3-642-93376-9_7
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