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@MASTERSTHESIS{Bhat:132177,
      author       = {Bhat, Kaustubh},
      title        = {{C}rystal {F}ield {E}ffects on {M}ultiplets {O}bserved in
                      {O}pen d- and f- shells},
      school       = {RWTH Aachen},
      type         = {MS},
      reportid     = {FZJ-2013-01409},
      year         = {2013},
      note         = {RWTH Aachen, Masterarbeit, 2012},
      abstract     = {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.},
      keywords     = {Unveröffentlichte Hochschulschrift (GND)},
      cin          = {GRS / IAS-1 / PGI-1},
      cid          = {I:(DE-Juel1)GRS-20100316 / I:(DE-Juel1)IAS-1-20090406 /
                      I:(DE-Juel1)PGI-1-20110106},
      pnm          = {899 - ohne Topic (POF2-899)},
      pid          = {G:(DE-HGF)POF2-899},
      typ          = {PUB:(DE-HGF)19},
      url          = {https://juser.fz-juelich.de/record/132177},
}