Book•
The Theory of Transition-Metal Ions
01 Jan 1961-
TL;DR: In this paper, the strong-filed coupling scheme was proposed to overcome the weak-field coupling scheme in paramagnetic resonance, which was shown to be effective in the case of free atoms and ions.
Abstract: Preface 1. Introduction 2. Angular momentum and related matters 3. Electromagnetic radiation 4. The structure of free atoms and ions 5. Magnetic effects in atomic structure 6. Groups and their matrix representations 7. Complex ions 8. Crystal-field theory and the weak-field coupling scheme 9. The strong-filed coupling scheme 10. Paramagnetic susceptibilities 11. Optical spectra and thermodynamic properties 12. Paramagnetic resonance Appendices 1-9 Bibliography Indexes.
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TL;DR: In this paper, a large variety of experiments reviewed in detail here contain results compatible with the theoretical predictions, including phase diagrams of manganite models, the stabilization of the charge/orbital/spin ordered half-doped correlated electronics (CE)-states, the importance of the naively small Heisenberg coupling among localized spins, the setup of accurate mean-field approximations, and the existence of a new temperature scale T∗ where clusters start forming above the Curie temperature, the presence of stripes in the system, and many others.
2,927 citations
Cites background from "The Theory of Transition-Metal Ions..."
...(1997) and Gor'kov and Kresin (1998). The kinetic term is rewritten in momentum space as...
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...Gor'kov and Kresin (1998) also brie#y discussed a possible percolation process at low temperature....
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...In fact, some qualitative features of manganites can be addressed in the band picture, as discussed by Shiba et al. (1997) and Gor'kov and Kresin (1998)....
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Book•
28 Feb 1983TL;DR: Using classical and quantum methods with a strong emphasis on symmetry principles, the volume as discussed by the authors develops the theory of varied optical activity and related phenomena from the perspective of molecular scattering of polarized light.
Abstract: Ranging from the physics of elementary particles to the structure of viruses, the subject matter of this book stresses the importance of optical activity and chirality in modern science and will be of interest to a wide range of scientists. Using classical and quantum methods with a strong emphasis on symmetry principles, the volume develops the theory of varied optical activity and related phenomena from the perspective of molecular scattering of polarized light. First Edition Hb (1983): 0-521-24602-4
1,543 citations
TL;DR: In this article, the 1s → 3d pre-edge features of high-spin ferrous and ferric model complexes in octahedral, tetrahedral, and square pyramidal environments were investigated and the allowable many-electron excited states were determined using ligand field theory.
Abstract: X-ray absorption Fe−K edge data on ferrous and ferric model complexes have been studied to establish a detailed understanding of the 1s → 3d pre-edge feature and its sensitivity to the electronic structure of the iron site. The energy position and splitting, and intensity distribution, of the pre-edge feature were found to vary systematically with spin state, oxidation state, geometry, and bridging ligation (for binuclear complexes). A methodology for interpreting the energy splitting and intensity distribution of the 1s → 3d pre-edge features was developed for high-spin ferrous and ferric complexes in octahedral, tetrahedral, and square pyramidal environments and low-spin ferrous and ferric complexes in octahedral environments. In each case, the allowable many-electron excited states were determined using ligand field theory. The energies of the excited states were calculated and compared to the energy splitting in the 1s → 3d pre-edge features. The relative intensities of electric quadrupole transitions...
1,181 citations
TL;DR: The superposition model was originally developed to separate the geometrical and physical information in crystal field parameters as discussed by the authors, and its success in the analysis of lanthanide spectra has paralleled by the success of the related angular overlap model in analysis of d-electron spectra.
Abstract: The superposition model was originally developed to separate the geometrical and physical information in crystal field parameters. Its success in the analysis of lanthanide spectra has been paralleled by the success of the related angular overlap model in the analysis of d-electron spectra. The basic ideas, method of application and reliability of the superposition model are discussed and its relationship with the angular overlap model is clarified. Developments described are the application of the superposition model to the ground (L=0) multiplet splittings of d5 and f7 ions, orbit-lattice interactions, transition intensities and correlation crystal fields. Special attention is paid to work which has been claimed to support or disprove the postulates of the model.
1,007 citations
TL;DR: In this paper, the authors investigated how elementary excitations of transition metal oxides show up in Resonant Inelastic X-ray Scattering (RIXS) spectra.
Abstract: Resonant Inelastic X-ray Scattering (RIXS)
is an X-ray in, X-ray out technique that enables one to study the
dispersion of excitations in solids. In this thesis, we investigated how
various elementary excitations of transition metal oxides show up in
RIXS spectra.
947 citations
Cites background or methods from "The Theory of Transition-Metal Ions..."
...A detailed description of Coulomb multiplet effects is beyond the scope of this review and is given in several books (Griffith, 1961; Sugano et al., 1970)....
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...This interaction splits the 3d states into Coulomb multiplets that can be separated by tenths of eV to several eV (Griffith, 1961)....
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...The coefficients ck = 2F 0 − 2 15G 1 − 3 35G (3), 15G 1 + 3 35G (3), 4 35F 2 − 1 15G 1 − 3 245G 3 for k = 0, 1, 2 and F , F (2), G(1), and G(3) are expressed in terms of radial integrals of the 3d-4p Coulomb interaction (Griffith, 1961)....
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