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001     132177
005     20210129211348.0
024 7 _ |2 Handle
|a 2128/5037
037 _ _ |a FZJ-2013-01409
100 1 _ |0 P:(DE-Juel1)159161
|a Bhat, Kaustubh
|b 0
|e Corresponding author
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245 _ _ |a Crystal Field Effects on Multiplets Observed in Open d- and f- shells
|f 2012-02-03
260 _ _ |c 2013
300 _ _ |a
336 7 _ |a Master Thesis
|b master
|m master
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336 7 _ |a Thesis
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336 7 _ |a MASTERSTHESIS
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502 _ _ |a RWTH Aachen, Masterarbeit, 2012
|b MS
|c RWTH Aachen
|d 2012
520 _ _ |a The subject of the thesis is to study a crystal field and spin-orbit coupling effects on multiplets observed in open d- and f-shells. The Coulomb interaction is considered by building the electrostatic matrix, where the required Gaunt coefficient are calculated recursively. Continuous fractions are used to produce Gaunt coefficients in the form of square roots of rational numbers to verify them. L-S coupling between orbital and spin angular momenta is assumed. Due to the spherical symmetry of the Coulomb potential, orbital and spin angular momenta are conserved separately. The corresponding quantum numbers are used to classify the eigenstates of the electrostatic matrix. These are compared with the eigenstates of simplified approximations to the electrostatic matrix. Then a cubic or tetragonal crystal field is introduced to electrostatic Hamiltonian and the interplay of Hund's rule and crystal-field splitting is studied. Finally spin-orbit coupling is added.
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|a Unveröffentlichte Hochschulschrift
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653 2 0 |2 Author
|a Gaunt coefficients
653 2 0 |2 Author
|a GRS
653 2 0 |2 Author
|a crystal-field splitting
653 2 0 |2 Author
|a model Hamiltonian
653 2 0 |2 Author
|a Coulomb tensor
653 2 0 |2 Author
|a multiplets
856 4 _ |u https://juser.fz-juelich.de/record/132177/files/FZJ-2013-01409.pdf
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910 1 _ |0 I:(DE-588b)5008462-8
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|a Forschungszentrum Jülich GmbH
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913 1 _ |0 G:(DE-HGF)POF2-899
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914 1 _ |y 2013
915 _ _ |0 StatID:(DE-HGF)0510
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920 _ _ |l yes
920 1 _ |0 I:(DE-Juel1)GRS-20100316
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