چندگانه‌های یون‌های فلز انتقالی در بلورها (فیزیک خالص و کاربردی)

Multiplets of Transition-Metal Ions in Crystals provides information pertinent to ligand field theory. This book discusses the fundamentals of quantum mechanics and the theory of atomic spectra. Comprised of 10 chapters, this book starts with an overview of the qualitative nature of the splitting of the energy level as well as the angular behavior of the wavefunctions. This text then examines the problem of obtaining the energy eigenvalues and eigenstates of the two-electron systems, in which two electrons are accommodated in the t2g and eg shells in a variety of ways. Other chapters discuss the ligand-field potential, which is invariant to any symmetry operation in the group to which symmetry of the system belongs. This book discusses as well the approximate method of expressing molecular orbitals (MO) by a suitable linear combination of atomic orbitals (AO). The final chapter discusses the MO in molecules and the self-consistent field theory of Hartree–Fock. This book is a valuable resource for research physicists, chemists, electronic engineers, and graduate students. Content: Inside Front Cover Page ii Front Matter Page iii Copyright page Page iv Preface Page ix Acknowledgments Page xi Introduction Pages 1-5 Chapter I - Single d -Electron in a Ligand Field Pages 6-37 Chapter II - Two Electrons in a Cubic Field Pages 38-65 Chapter III - Many Electrons in a Cubic Field Pages 66-85 Chapter IV - Electrons and Holes Pages 86-105 Chapter V - Multiplets in Optical Spectra Pages 106-125 Chapter VI - Low-Symmetry Fields Pages 126-153 Chapter VII - Spin-Orbit Interaction Pages 154-178 Chapter VIII - Fine Structure of Multiplets Pages 179-212 Chapter IX - Interaction between Electron and Nuclear Vibration Pages 213-248 Chapter X - Molecular Orbital and Heitler-London Theories Pages 249-279 Appendix I - Character Tables for the Thirty-Two Double Point-Groups, G ̄ Pages 280-285 Appendix II - Tables of Clebsch-Gordan Coefficients, 〈г 1 γ 1 г 1 γ 2 | гγ〉, WITH CUBIC BASES Pages 286-288 Appendix III - Wigner Coefficients 〈 j 1 m 1 j 2 m 2 | jm 〉 Pages 289-293 Appendix IV - Matrix Elements of Coulomb Interaction Pages 294-301 Appendix V - Complementary States in the ( t 2 , e) Shell Pages 302-304 Appendix VI - Tables of Clebsch-Gordan Coefficients with Trigonal Bases, 《Г 1 M 1 г 2 M 2 | г M 〉 = 〈г M |г 1 M 1 г 2 M 2 〉* Pages 305-307 Appendix VII - Tables of Reduced Matrices of Spin-Orbit Interaction Pages 308-322 Appendix VIII - Calculation of 〈α S г ‖ L ∥ α′ S г′〉 Pages 323-324 Appendix IX - Symmetric and Antisymmetric Product Representations Pages 325-326 Subject Index Pages 327-331 Pure and Applied Physics: A Series of Monographs and Textbooks Pages 332-333