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Index
Cover image Title page Table of Contents Copyright Dedication Preface Chapter 1: Particle Wave Duality
Abstract 1.1 Cathode and Anode Rays 1.2 Charge of the Electron 1.3 Mass of Electron and Proton 1.4 Rutherford's Atomic Model 1.5 Quantum of Energy 1.6 Hydrogen Atom Line-Emission Spectra; Electrons in Atoms Exist Only in Very Specific Energy States 1.7 Bohr's Quantum Theory of the Hydrogen Atom 1.8 The Bohr-Sommerfeld Model 1.9 The Corpuscular Nature of Electrons, Photons, and Particles of Very Small Mass 1.10 Relativity Theory: Mass and Energy, Momentum, and Wavelength Interdependence 1.11 The Corpuscular Nature of Electromagnetic Waves 1.12 de Broglie's Considerations 1.13 Werner Heisenberg's Uncertainty Principle, or the Principle of Indeterminacy 1.14 The Probability of Finding an Electron and the Wave Function 1.15 Atomic and Subatomic Particles
Chapter 2: Electrons in Atoms
Abstract 2.1 The Wave Function (the Schrödinger Equation) 2.2 Properties of the wave function 2.3 Schrödinger Equation of the Hydrogen Atom 2.4 Transformation of the Schrödinger Equation From Cartesians to Spherical Polar Coordinates 2.5 The Angular Equation 2.6 The Φ-Equation 2.7 The Θ-Equation 2.8 The Radial Equation 2.9 The Final Solution for the Full Wave Function, ψnlm(r,θ,ϕ) 2.10 The Orthonormal Properties of the Real Wave Functions 2.11 The Quantum Numbers: n, l, and ml 2.12 The Spin Quantum Number, s 2.13 The Boundary Surface of s-Orbital 2.14 The Boundary Surface of p-Orbitals 2.15 The Boundary Surface of d-Orbitals 2.16 Calculating the Most Probable Radius 2.17 Calculating the Mean Radius of an Orbital 2.18 The Structure of Many-Electron Atoms 2.19 The Pauli Exclusion Principle 2.20 Slater Determinant 2.21 Penetration and Shielding 2.22 The Building-Up Principle 2.23 Term Structure for Polyelectron Atoms 2.24 Term Wave Functions and Single Electron Wave Functions 2.25 Spin-Orbital Coupling 2.26 Spin-Orbital Coupling in External Magnetic Field
Chapter 3: Chemical Bonding
Abstract 3.1 Electronegativity and Electropositivity 3.2 Electronegativity and Electropositivity Trends 3.3 Molecular and Nonmolecular Compounds 3.4 Types of Bonds 3.5 Metallic Bonding and General Properties of Metals 3.6 Ionic Bonding 3.7 Covalent Bonding 3.8 Coordinate Covalent Bond (Dative Bonding) 3.9 Intermolecular Interactions 3.10 Covalent Networks and Giant Molecules
Chapter 4: Molecular Symmetry
Abstract 4.1 Molecular Symmetry 4.2 The Symmetry Elements 4.3 The Symmetry and Point Group 4.4 Some Immediate Applications 4.5 Group Theory: Properties of the Groups and Their Elements 4.6 Similarity Transforms, Conjugation, and Classes 4.7 Matrix Representation 4.8 Motion Representations of the Groups 4.9 Symmetry Properties of Atomic Orbitals 4.10 Character Tables 4.11 Relation Between any Reducible and Irreducible Representations 4.12 Group Theory and Quantum Mechanics: Irreducible Representations and Wave Function
Chapter 5: Valence Bond Theory and Orbital Hybridization
Abstract 5.1 Valence Bond Theory 5.2 VSEPR Theory and Molecular Geometry 5.3 Isoelectronic Species 5.4 Procedures to Diagram Molecular Structure 5.5 Valence Bond Theory and Metallic Bonds 5.6 Orbital Hybridization 5.7 Rehybridization and Complex Formation 5.8 Hybridization and σ-/π-Bonding 5.9 Orbital Hybridization and Molecular Symmetry 5.10 Hybrid Orbitals as Symmetry Adapted Linear Combination of Atomic Orbitals (SALC) 5.11 Molecular Wave Function as Symmetry Adapted Linear Combination of Atomic Orbitals (SALC)
Chapter 6: Molecular Orbital Theory
Abstract 6.1 Molecular Orbital Theory Versus Valence Bond Theory 6.2 Molecular Orbital Wave Function and Symmetry 6.3 The Linear Combination of Atomic Orbitals-Molecular Orbital (LCAO-MO) and Hückel Approximations 6.4 Atomic Orbitals Combinations for the Second Row Diatomic Molecules 6.5 Heterodiatomic Molecules 6.6 Polyatomic Molecules 6.7 Molecular Orbitals for a Centric Molecule 6.8 Properties Derived From Molecular Wave Function 6.9 Band Theory: Molecule Orbital Theory and Metallic Bonding Orbit 6.10 Conductors, Insulators, and Semiconductors
Chapter 7: Crystal Field Theory
Abstract 7.1 The Advantages and Disadvantages of Valence Bond Theory 7.2 Bases of Crystal Field Theory 7.3 The Crystal Field Potential 7.4 Zero-Order Perturbation Theory (the Effect of Crystal Field on the Orbital Wave Functions of Degenerate Orbitals) 7.5 Types of Interactions That Affect the Crystal Field Treatment 7.6 Free Ion in Weak Crystal Fields 7.7 Strong Field Approach
Chapter 8: Ligand Field Theory
Abstract 8.1 The Advantages and Disadvantages of Crystal Field Theory 8.2 Symmetry and Orbital Splitting by Ligand Field 8.3 Correlation Table 8.4 Correlation Diagrams of Strong and Weak Fields 8.5 Orgel Diagram 8.6 Tanabe-Sugano Diagrams
Chapter 9: Vibrational Rotational Spectroscopy
Abstract 9.1 Infrared and Raman Spectroscopy 9.2 Permanent Dipole and Polarizability 9.3 The Classical Explanation of Infrared and Raman Spectroscopy 9.4 Rotation of Diatomic Molecules 9.5 Vibration of Diatomic Molecules 9.6 The Quantum Mechanics of the Translation, Vibration, and Rotation Motions 9.7 Vibration-Rotation Energies of Diatomic Molecules (Vibrational-Rotational State) 9.8 Vibrations of Polyatomic Molecules 9.9 Polyatomic Molecular Motions and Degrees of Freedom 9.10 Normal Modes of Vibration, Normal Coordinates, and Polyatomic Molecules 9.11 Vibrational Energy of Polyatomic Molecules 9.12 Vibrational Displacements 9.13 Vibrational Energy and Normal Coordinates 9.14 Stretching Vibrations of Linear Molecules 9.15 Symmetry and Normal Modes of Vibration 9.16 Assigning the Normal Modes of Vibration 9.17 Force Constants and the GF-Matrix Method 9.18 Selection Rules 9.19 Center of Symmetry and the Mutual Exclusion Rule 9.20 Isolation of a Particular Type of Motion 9.21 Detecting the Changes of Symmetry Through Reaction
Chapter 10: Electronic Spectroscopy
Abstract 10.1 Beer-Lambert Law 10.2 Allowed Electronic Transition 10.3 Basis of the Selection Rules 10.4 Selection Rules 10.5 Unexpected Weak Absorbance 10.6 Spectroscopy of Electronic Excitations 10.7 Electronic Spectra of Selected Examples 10.8 Spectroscopy of Porphyrins 10.9 The Magnetic Dipole Moment and the Absorbance Intensity
Chapter 11: Magnetism
Abstract 11.1 Magnetic Susceptibility 11.2 Types of Magnetic Behaviors 11.3 Diamagnetic Behavior 11.4 Spin-Only Magnetic Susceptibility, Magnetic Moment, and Thermal Spreading 11.5 Orbital Magnetic Moment 11.6 Second-Order Zeeman Effect and Van Vleck Equation 11.7 Spin-Orbital Coupling and Magnetic Susceptibility 11.8 Spin-Orbital Coupling: In A and E Ground Terms 11.9 Spin-Orbital Coupling: In T Ground Terms 11.10 Curie Law, Deviation, and Data Representations 11.11 The Magnetic Behaviors of Compounds Contain a Unique Magnetic Center 11.12 Structure-Linked Crossover, Thermal Isomerization 11.13 Interactions Between Magnetic Centers 11.14 Measurement of the Magnetic Susceptibility
Mathematics Supplement
Summation Formulas Quadratic Series Roots of the Quadratic Equation Binomial Expansion Trigonometric Formula Logarithms Derivative of a Function Antiderivatives or Indefinite Integrals Important Mathematical Functions Kronecker Delta Function Hermite Polynomials Legendre Polynomial Laguerre Polynomials Taylor Series Matrices Determinants
Character Tables
Nonaxial Groups Cn Groups Cnv Groups Cnh Groups Dn Groups Dnd Groups Dnh Groups S2n Groups Cubic Groups Linear Groups
Index
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