Theoretical Spectroscopy of Transition Metal and Rare Earth Ions [electronic resource] : From Free State to Crystal Field.

Description based upon print version of record.

Cover; Half Title; Title Page; Copyright Page; Table of Contents; Preface; 1: Fiat lux, or What Are the Main Optical Applications of the d and f Ions; 2: Basic Processes of Interaction of Radiation with Matter; 2.1 Introduction; 2.2 Absorption/Emission Transitions and Einstein Coefficients; 2.3 Natural Width of the Emission Lines and Their Different Profiles; 2.4 Two-Level System, Rabi Oscillations; 2.5 Positive and Negative Absorption, Population Inversion, Saturation, Absorption Cross Section; 2.6 Absorption of Radiation in an Ensemble of Particles and Two Schemes of Laser Generation

3: The Theory of Atom of Hydrogen3.1 Introduction; 3.2 Experimental Spectroscopic Results Known by the End of the 19th Century-Beginning of the 20th Century; 3.3 Solution of the Schrödinger Equation for the Hydrogen-Like Atom; 3.4 Selection Rules for the Electric Dipole Transitions; 3.5 Fine Structure of the Energy Levels and the Spin of an Electron; 3.6 Four Quantum Numbers and Spectral Notation of the Hydrogen-Like Atoms States; 4: Multielectron Atoms; 4.1 Introduction; 4.2 Schrödinger Equation for the Multielectron Atoms: What Is Different from the Hydrogen-Like Atom Case?

4.3 Basic Properties of the Operator of Angular Momentum and Its Main Difference from the Classical Momentum4.4 The LS and JJ Coupling Schemes, or Social/Individual Behavior of Electrons; 4.5 Addition of Two Angular Momenta or Why Two Plus Two Is Not Always Four; 4.6 The Wave Functions of the Resulting Angular Momentum, Clebsch-Gordan Coefficients and Wigner 3j-Symbols; 4.7 Addition of the Spin Momenta; 4.8 Terms of Configurations of Inequivalent Electrons; 4.9 Terms of Configurations of Equivalent Electrons

4.10 Energies of the LS Terms of Configurations of Equivalent Electrons, Slater Integrals and Racah Parameters4.11 Fine-Structure of the LS Terms of Multielectron Configurations; 4.12 Periodic System of Elements Explained by the Combinations of Quantum Numbers; 5: Basic Spectroscopic Properties of the Ions with Unfilled d Electron Shell; 5.1 Introduction; 5.2 Possible Electron Configurations of the 3d, 4d, 5d Ions; 5.3 Results of Calculations: Relations between Main Spectroscopic Parameters for Free 3d/4d/5d Ions and Atomic Number Z; 5.4 Energy Level Diagrams for Free 3d Ions

5.5 Ionization Energies for Free 4d, 5d Ions5.6 Average Values of the d Electrons Radial Coordinate; 6: Basic Spectroscopic Properties of the Ions with Unfilled f Electron Shell; 6.1 Introduction; 6.2 Possible Electron Configurations of the 4f/5f Ions; 6.3 Free di-, Tri-, and Tetravalent 4f/5fIons: The Hamiltonian Structure; 6.4 Variation of the Slater Integrals and Spin-Orbit Coupling Constant with Atomic Number for the fN Electronic Configurations of Free 4f/5fIons; 6.5 Energy Levels of the fN Electronic Configurations of Free 4f/5fIons; 6.5.1 f1 and f13 Configurations

6.5.2 f2 and f12 Configurations

This book describes in detail the main concepts of theoretical spectroscopy of transition metal and rare-earth ions. It shows how the energy levels of different electron configurations are formed and calculated for the ions in a free state and in crystals, how group theory can help in solving main spectroscopic problems, and how the modern DFT-based methods of calculations of electronic structure can be combined with the semi-empirical crystal field models. The style of presentation makes the book helpful for a wide audience ranging from graduate students to experienced researchers. Performance of optical materials crucially depends on the impurity ions intentionally introduced into the crystalline host materials. The color of these materials, their emission and absorption spectra can be understood by analyzing the relations between the electronic properties of impurity ions and host crystal structure, which constitutes the main content of this book. It describes in detail the main concepts of theoretical spectroscopy of transition metal and rare earth ions.

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