Multiplets of Transition-Metal Ions in Crystals

Satoru Sugano

• Publisher: Academic Press
• Year: 2012
• Print ISBN: 9780126760507
• eBook ISBN: 9780323154796
• Topic: Physical Sciences
• Subtopic: Chemistry
• Index: Chemistry

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.

Table of contents

• Front Cover
• Multiplets of Transition-Metal Ions in Crystals
• Copyright Page
• Table of Contents
• Preface
• Acknowledgments
• INTRODUCTION
• Chapter I. SINGLE d-ELECTRON IN A LIGAND FIELD
• Chapter II. TWO ELECTRONS IN A CUBIC FIELD
• Chapter III. MANY ELECTRONS IN A CUBIC FIELD
• Chapter IV. ELECTRONS AND HOLES
• Chapter V. MULTIPLETS IN OPTICAL SPECTRA
• Chapter VI. LOW-SYMMETRY FIELDS
• Chapter VII. SPIN-ORBIT INTERACTION
• Chapter VIII. FINE STRUCTURE OF MULTIPLETS
• Chapter XI. INTERACTION BETWEEN ELECTRON AND NUCLEAR VIBRATION
• Chapter X. MOLECULAR ORBITAL AND HEITLER–LONDON THEORIES
• Appendix I: CHARACTER TABLES FOR THE THIRTY-TWO DOUBLE POINT-GROUPS, G–
• Appendix II: TABLES OF CLEBSCH–GORDAN COEFFICIENTS, <Γ1γ1Γ2γ2I Γγ>, WITH CUBIC BASES
• Appendix III: WIGNER COEFFICIENTS <j1m1j2m2 I jm>
• Appendix IV: MATRIX ELEMENTS OF COULOMB INTERACTION
• Appendix V: COMPLEMENTARY STATES IN THE (t2 , e) SHELL
• Appendix VI: TABLES OF CLEBSCH–GORDAN COEFFICIENTS WITH TRIGONAL BASES, <Γ1Μ1Γ2Μ2 I ΓΜ> = <ΓΜ I Γ1M1Γ2M2>
• Appendix VII: TABLES OF REDUCED MATRICES OF SPIN-ORBIT INTERACTION
• Appendix VIII: CALCULATION OF <αSΓ || L || α'SΓ'>
• Appendix IX: SYMMETRIC AND ANTISYMMETRIC PRODUCT REPRESENTATIONS
• SUBJECT INDEX
• PURE AND APPLIED PHYSICS