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Front Cover; The Effective Crystal Field Potential; Copyright Page; Contents; Chapter 1. Introduction; Chapter 2. Parameterization of crystal field Hamiltonian; 2.1. Operators and parameters of the crystal field Hamiltonian; 2.2. Basic parameterizations; 2.3. Symmetry transformations of the operators; 2.4. The number of independent crystal field parameters; 2.5. Standardization of the crystal field Hamiltonian; 2.6. Final remark; Chapter 3. The effective crystal field potential. Chronological development of crystal field models |
Chapter 4. Ionic complex or quasi-molecular cluster. Generalized product function4.1 Concept of the generalized product function; 4.2 The density functions and the transition density functions; 4.3 Model of the generalized product functions; 4.4 Crystal field effect in the product function model; Chapter 5. Point charge model (PCM); 5.1 PCM potential and its parameters; 5.2 Simple partial PCM potentials; 5.3 Extension of PCM-higher point multipole contribution; Chapter 6. One-configurational model with neglecting the non-orthogonality. The charge penetration and exchange effects |
6.1 Classical electrostatic potential produced by the ligand charge distribution6.2 The charge penetration effect and the exchange interaction in the generalized product function model; 6.3 The weight of the penetration and exchange effects in the crystal field potential; 6.4 Calculation of the two-centre integrals; 6.5 Final remarks; Chapter 7. The exclusion model. One-configurational approach with regard to non-orthogonality of the wave functions; 7.1 Three types of the non-orthogonality |
7.2 The renormalization of the open-shell Hamiltonian Ha owing to the non-orthogonality of the one-electron functions7.3 The contact-covalency-the main component of the crystal field potential; 7.4 The contact-shielding; 7.5 The contact-polarization; 7.6 Mechanisms of the contact-shielding and contact-polarization in terms of the exchange charge notion; Chapter 8. Covalency contribution, i.e. the charge transfer effect; 8.1 The one-electron excitations. Group product function for the excited state; 8.2 The renormalization of the open-shell Hamiltonian due to the covalency effect |
8.3 Basic approximations8.4 The one-electron covalency potential Vcov; 8.5 The one-electron covalency potential V cov in the molecular-orbital formalism; 8.6 Remarks on the covalency mechanism; Chapter 9. Schielding and antishielding effect: contributions from closed electron shells; 9.1 Phenomenological quantification of the screening effect; 9.2 Microscopic model of the screening effect; 9.3 General expressions for the screening factors; 9.4 The screening factors; Chapter 10. Electrostatic crystal field contributions with consistent multipolar effects. Polarization |
10.1 Expansion of the electrostatic potential of point charge system into the multipole series |