30 citations · 72 across the 7 of their papers we have counts for
7 papers
Capability of the free-ion eigenstates for crystal-field splitting
Jacek Mulak, Maciej Mulak
Any electron eigenstate |Ψ>of the paramagnetic ion open-shell is characterized by the three independent multipole asphericities A_{k}=<Ψ|| C^(k)}||Ψ> for k=2,4 and 6 related to the…
A fundamental requirement for crystal-field parametrization
Jacek Mulak, Maciej Mulak
The physically correct parametrization of the energy levels of transition ions in crystals in terms of crystal-field (CF) Hamiltonians ${\cal H}_{\rm CF}=\sum_{k}\sum_{q}B_{kq}C_{q…
The limits of the total crystal-field splittings
Jacek Mulak, Maciej Mulak
The crystal-fields causing electron states splittings of the same second moment can produce different total splittings magnitudes. Based on the numerical data on…
The total energy splitting of ionic eigenstates in the axial crystal fields
Jacek Mulak, Maciej Mulak
The relationship between the energy total splitting of the free-ion electron states in the axial crystal-fields and the second moment of that splitting is thoroughly i…
Multipole characteristics of the open-shell electron eigenstates
Jacek Mulak, Maciej Mulak
The second moment of the sublevels within the initial state | αSLJ > which constitutes a natural and adequate measure of the crystal-field (CF) effect can be redefined as sigma^{2}…
On a complementary scale of crystal-field strength
Jacek Mulak, Maciej Mulak
A new measure of the crystal-field strength, complementary to the conventional one, is defined. It is based on the rotational invariants |B_{k0}|_{av} or |\sum_{k}B_{k0}|_{av}, k=2…
The maximal axial parameters in equivalent parametrizations of crystal-field Hamiltonians of tetragonal and cubic symmetries
Jacek Mulak, Maciej Mulak, Ryszard Gonczarek
The variation ranges of the axial B_{k0} crystal-field parameters, for k=2,4,6, of tetragonal including cubic crystal-field Hamiltonians H_{CF} for all possible orientations of the…