[1]
|
B. G. Wybourne, “Spectroscopic Properties of Rare Earths,” John Wiley, New York, 1965.
|
[2]
|
B. R. Judd, “Operator Techniques in Atomic Spectroscopy,” Mc Graw-Hill, New York, 1963.
|
[3]
|
A. R. Edmonds, “Angular Momentum in Quantum Mechanics,” Princeton University Press, Princeton, New York, 1960.
|
[4]
|
M. Rotenberg, R. Bivins, N. Metropolis and J. K. Wooten, Jr., “The 3-j and 6-j Symbols,” MIT Press, Cambridge, MA, 1963.
|
[5]
|
J. Mulak and Z. Gajek, “The Effective Crystal-Field Potential,” Elsevier, Amsterdam, 2000.
|
[6]
|
J. Mulak and M. Mulak, “Multipole Characteristic of the Open-Shell Electron Eigenstates,” Physica Status Solidi B, Vol. 245, No. 6, 2008, pp. 1156-1164.
doi:10.1002/pssb.200743527
|
[7]
|
M. Reid, “f-Shell Programs,” Private Communication by Courtesy of Z. Gajek, 2010.
|
[8]
|
W.T. Carnall, G.L. Goodman, K. Rajnak and R.S. Rana, “A Systematic Analysis of the Spectra of the Lanthanides Doped into Single Crystal LaF3,” Journal of Chemical Physics, Vol. 90, No. 7, 1989, pp. 3443-3457.
doi:10.1063/1.455853
|
[9]
|
F. Auzel and O. L. Malta, “A Scalar Crystal Field Strength Parameter for Rare Earth Ions: Meaning and Usefulness,” Journal of Physique, Vol. 44, No. 2, 1983, pp. 201-206. doi:10.1051/jphys:01983004402020100
|
[10]
|
R. P. Leavitt, “On the Role of Certain Rational Invariants in Crystal-Field Theory,” Journal of Chemical Physics, Vol. 77, No. 4, 1982, pp. 1661-1663.
doi:10.1063/1.444088
|
[11]
|
C. Rudowicz and J. Qin, “Noether’s Theorem and Conserved Quantities for the Crystal- and Ligand-Field Hamiltonians Invariant under Continuous Rotational Symmetry,” Physical Review B, Vol. 67, No. 17, 2003, pp. 174420+14.
|
[12]
|
C. Rudowicz and J. Qin, “Can the Low Symmetry Crystal (Ligand) Field Parameters Be Considered Compatible and Reliable,” Journal of Luminescence, Vol. 110, No. 1-2, 2004, pp. 39-64. doi:10.1016/j.jlumin.2004.04.003
|
[13]
|
Y. Y. Yeung, “Invariants and Moments,” In: D. J. Newman and B. Ng, Ed., Crystal Field Handbook, Cambridge University Press, Cambridge, MA, 2000, pp. 160-175.
doi:10.1017/CBO9780511524295.010
|
[14]
|
J. Mulak and M. Mulak, “On a Complementary Scale of Crystal-Field Parametrization,” Journal of Physics A: Mathematical and Theoretical, Vol. 40, No. 9, 2007, pp. 2063-2076. doi:10.1088/1751-8113/40/9/012
|
[15]
|
I. G. Kaplan, “Symmetry of Many Electron Systems,” Academic Press, New York, 1975.
|
[16]
|
S. Hüffner, “Optical Spectra of Transparent Rare Earths Compounds,” Academic Press, New York, San Francisco, London, 1978.
|
[17]
|
S. G. Redsun, “3-j, 6-j, 9-j Symbol Calculators,” Accessed in January 2011.
http://www.svengato.com (postware application).
|
[18]
|
C. W. Nielson and G. F. Koster, “Spectroscopic Coefficients for pn, dn and fn Configurations,” MIT Press, Cambridge MA, 1963.
|
[19]
|
J. S. Griffith, “The Theory of Transition-Metal Ions,” Cambridge University Press, London, New York, 1961.
|
[20]
|
J. Mulak and M. Mulak, “A Fundamental Requirement for Crystal-Field Parametrization,” Physica Status Solidi B, Vol. 248, No. 9, 2011, pp. 2159-2164.
|
[21]
|
R. P. Leavitt, J. B. Gruber, N. C. Chang, C. A. Morrison, “Optical Spectra, Energy Levels, and Crystal-Field Analysis of Tripositive Rare-Earth Ions in Y2O3. II. Non- Kramers Ions in C2 Sites,” Journal of Chemical Physics, Vol. 76, No. 10, 1982, pp. 4775-4788.
doi:10.1063/1.442796
|
[22]
|
S. S. Bishton and D. J. Newman, “Parametrization of the Correlation Crystal Field,” Journal of Physics C: Solid State Physics, Vol. 3, No. 8, 1970, pp. 1753-1761.
doi:10.1088/0022-3719/3/8/014
|
[23]
|
D. J. Newman, “Theory of Lanthanide Crystal Field,” Advances in Physics, Vol. 20, No. 84, 1971, pp. 197-256.
doi:10.1080/00018737100101241
|
[24]
|
M. F. Reid, “Correlation Crystal Field Analyses with Orthogonal Operators,” Journal of Chemical Physics, Vol. 87, No. 5, 1987, pp. 2875-2884. doi:10.1063/1.453075
|