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Quantum Chemistry 4.4 - Postulates of Quantum Mechanics 4: Expectation Values
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Quantum Chemistry and Spectroscopy
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- 1 Quantum Chemistry 0.1 - Introduction
- 2 Quantum Chemistry 1.1 - Blackbody Radiation
- 3 Quantum Chemistry 1.2 - Photoelectric Effect
- 4 Quantum Chemistry 1.3 - Rydberg Formula
- 5 Quantum Chemistry 1.4 - Bohr Hydrogen Model 1: Radius
- 6 Quantum Chemistry 1.5 - Bohr Hydrogen Model 2: Energy
- 7 Quantum Chemistry 1.6 - Wave-Particle Duality
- 8 Quantum Chemistry 1.7 - Uncertainty Principle in Measurement
- 9 Quantum Chemistry 2.1 - Classical Wave Equation
- 10 Quantum Chemistry 2.2 - Vibrating String
- 11 Quantum Chemistry 2.3 - Vibrating String Animation
- 12 Quantum Chemistry 3.1 - Schrodinger Equation "Derivation"
- 13 Quantum Chemistry 3.2 - Operators
- 14 Quantum Chemistry 3.3 - Eigenvalues and Eigenfunctions
- 15 Quantum Chemistry 3.4 - Interpreting the Wavefunction
- 16 Quantum Chemistry 3.5 - Particle in a Box
- 17 Quantum Chemistry 3.6 - Normalization
- 18 Quantum Chemistry 3.7 - Particle in a Box Wavefunction Plots
- 19 Quantum Chemistry 3.8 - UV-Vis Spectra of Polyenes
- 20 Quantum Chemistry 3.9 - Average Position
- 21 Quantum Chemistry 3.10 - Average Momentum
- 22 Quantum Chemistry 3.11 - 3-D Particle in a Box
- 23 Quantum Chemistry 3.12 - Degeneracy
- 24 Quantum Chemistry 4.1 - Postulates of Quantum Mechanics 1: Wavefunction
- 25 Quantum Chemistry 4.2 - Postulates of Quantum Mechanics 2: Operators
- 26 Quantum Chemistry 4.3 - Postulates of Quantum Mechanics 3: Measurement
- 27 Quantum Chemistry 4.4 - Postulates of Quantum Mechanics 4: Expectation Values
- 28 Quantum Chemistry 4.5 - Postulates of Quantum Mechanics 5: Schrodinger Equation
- 29 Quantum Chemistry 4.6 - Commutators
- 30 Quantum Chemistry 4.7 - Hermitian Operators
- 31 Quantum Chemistry 4.8 - Dirac Notation
- 32 Quantum Chemistry 4.9 - Orthogonality
- 33 Quantum Chemistry 4.10 - Superposition Principle 1: Basis Sets
- 34 Quantum Chemistry 4.11 - Superposition Principle 2: Expectation Values
- 35 Quantum Chemistry 4.12 - Superposition Principle 3: Example
- 36 Quantum Chemistry 4.13 - Commuting Operators
- 37 Quantum Chemistry 4.14 - Time Dependence
- 38 Quantum Chemistry 4.15 - Time Dependence Animation
- 39 Quantum Chemistry 4.16 - Wavefunction Collapse
- 40 Quantum Chemistry 4.17 - Schrodinger's Cat
- 41 Quantum Chemistry 4.18 - Correspondence Principle
- 42 Quantum Chemistry 5.1 - Harmonic Oscillator Model
- 43 Quantum Chemistry 5.2 - Classical Harmonic Oscillator 1: Trajectory
- 44 Quantum Chemistry 5.3 - Classical Harmonic Oscillator 2: Energy
- 45 Quantum Chemistry 5.4 - Reduced Mass
- 46 Quantum Chemistry 5.5 - Harmonic Oscillator Energy Levels
- 47 Quantum Chemistry 5.6 - Diatomic Infrared Spectra
- 48 Quantum Chemistry 5.7 - Anharmonicity and Overtones
- 49 Quantum Chemistry 5.8 - Harmonic Oscillator Wavefunctions
- 50 Quantum Chemistry 5.9 - Even and Odd Functions
- 51 Quantum Chemistry 5.10 - Harmonic Oscillator Even and Odd Functions
- 52 Quantum Chemistry 5.11 - 3-D Harmonic Oscillator
- 53 Quantum Chemistry 5.12 - Polyatomic Molecular Vibrations
- 54 Quantum Chemistry 6.1 - Rigid Rotor Model
- 55 Quantum Chemistry 6.2 - Rotation Operators
- 56 Quantum Chemistry 6.3 - Rigid Rotor Energy Levels
- 57 Quantum Chemistry 6.4 - Diatomic Microwave Spectra
- 58 Quantum Chemistry 6.5 - Rovibrational Energy Levels
- 59 Quantum Chemistry 6.6 - Diatomic Rovibrational Spectra
- 60 Quantum Chemistry 6.7 - Microwave Spectroscopy Example
- 61 Quantum Chemistry 6.8 - Rotation-Vibration Interaction
- 62 Quantum Chemistry 6.9 - Centrifugal Distortion
- 63 Quantum Chemistry 6.10 - Rigid Rotor Wavefunctions
- 64 Quantum Chemistry 6.11 - Orthonormality of Spherical Harmonics
- 65 Quantum Chemistry 6.12 - Angular Momentum Eigenvalues
- 66 Quantum Chemistry 7.1 - Hydrogen Atom Model
- 67 Quantum Chemistry 7.2 - Hydrogen Atom Energy Levels
- 68 Quantum Chemistry 7.3 - Hydrogen Atom Radial Wavefunctions
- 69 Quantum Chemistry 7.4 - Hydrogen Atom Total Wavefunctions
- 70 Quantum Chemistry 7.5 - Hydrogen Atomic Orbital Nodes
- 71 Quantum Chemistry 7.6 - Hydrogen Atom Eigenvalues
- 72 Quantum Chemistry 7.7 - Hydrogen Atom Radius
- 73 Quantum Chemistry 7.8 - Hydrogen Atom Radial Wavefunction Animation
- 74 Quantum Chemistry 7.9 - Virial Theorem
- 75 Quantum Chemistry 7.10 - Zeeman Effect
- 76 Quantum Chemistry 7.11 - Electron Spin
- 77 Quantum Chemistry 7.12 - Spin-Orbit Coupling
- 78 Quantum Chemistry 7.13 - Hydrogen Atom Term Symbols
- 79 Quantum Chemistry 7.14 - Hydrogen Atom Spectrum
- 80 Quantum Chemistry 7.15 - Helium Atom Hamiltonian
- 81 Quantum Chemistry 8.1 - Variational Principle
- 82 Quantum Chemistry 8.2 - Variational Principle Example
- 83 Quantum Chemistry 8.3 - Linear Variational Method
- 84 Quantum Chemistry 8.4 - Secular Determinant
- 85 Quantum Chemistry 8.5 - Linear Variational Example
- 86 Quantum Chemistry 8.6 - Perturbation Theory
- 87 Quantum Chemistry 8.7 - Perturbation Theory Derivation
- 88 Quantum Chemistry 8.8 - Perturbation Theory Example
- 89 Quantum Chemistry 9.1 - Atomic Units
- 90 Quantum Chemistry 9.2 - Helium Atom Energy Approximations
- 91 Quantum Chemistry 9.3 - Hartree-Fock Helium Atom
- 92 Quantum Chemistry 9.4 - Hartree-Fock Helium Energy
- 93 Quantum Chemistry 9.5 - Antisymmetry Principle
- 94 Quantum Chemistry 9.6 - Slater Determinants
- 95 Quantum Chemistry 9.7 - Hartree-Fock Atomic Energy
- 96 Quantum Chemistry 9.8 - Hartree-Fock Operators
- 97 Quantum Chemistry 9.9 - Hartree-Fock-Roothaan Equations
- 98 Quantum Chemistry 9.10 - Hartree-Fock Spin
- 99 Quantum Chemistry 9.11 - Post Hartree-Fock Methods
- 100 Quantum Chemistry 9.12 - Atomic Electron Configurations
- 101 Quantum Chemistry 9.13 - Electron Configuration Exceptions
- 102 Quantum Chemistry 9.14 - Atomic Term Symbols
- 103 Quantum Chemistry 9.15 - Term Symbols Example 1
- 104 Quantum Chemistry 9.16 - Term Symbols Example 2
- 105 Quantum Chemistry 9.17 - Term Symbols Example 3
- 106 Quantum Chemistry 9.18 - Hund's Rules
- 107 Quantum Chemistry 9.19 - Atomic Spectra
- 108 Quantum Chemistry 10.1 - Hydrogen Molecule Hamiltonian
- 109 Quantum Chemistry 10.2 - Born-Oppenheimer Approximation
- 110 Quantum Chemistry 10.3 - Hydrogen Molecule-Ion 1: Energy
- 111 Quantum Chemistry 10.4 - Hydrogen Molecule-Ion 2: Orbitals
- 112 Quantum Chemistry 10.5 - Molecular Orbital Angular Momentum
- 113 Quantum Chemistry 10.6 - Molecular Orbital Inversion Symmetry
- 114 Quantum Chemistry 10.7 - Hydrogen Molecular Orbital Diagram
- 115 Quantum Chemistry 10.8 - LCAO-MO Theory
- 116 Quantum Chemistry 10.9 - Diatomic Molecular Orbital Diagrams
- 117 Quantum Chemistry 10.10 - Bond Order
- 118 Quantum Chemistry 10.11 - Diatomic Term Symbols
- 119 Quantum Chemistry 10.12 - Total Wavefunction Symmetry
- 120 Quantum Chemistry 11.1 - sp Hybridization
- 121 Quantum Chemistry 11.2 - sp2 Hybridization
- 122 Quantum Chemistry 11.3 - sp3 Hybridization
- 123 Quantum Chemistry 11.4 - Lone Pair Hybridization
- 124 Quantum Chemistry 11.5 - Walsh Diagrams
- 125 Quantum Chemistry 11.6 - Huckel Theory
- 126 Quantum Chemistry 11.7 - Pi Resonance
- 127 Quantum Chemistry 11.8 - Aromaticity
- 128 Quantum Chemistry 12.1 - Symmetry Websites
- 129 Quantum Chemistry 12.2 - Symmetry Operations
- 130 Quantum Chemistry 12.3 - Symmetry Elements
- 131 Quantum Chemistry 12.4 - Groups
- 132 Quantum Chemistry 12.5 - Point Groups
- 133 Quantum Chemistry 12.6 - Point Group Examples
- 134 Quantum Chemistry 12.7 - Determining Point Groups
- 135 Quantum Chemistry 12.8 - Group Multiplication Tables
- 136 Quantum Chemistry 12.9 - Symmetry Operator Matrices
- 137 Quantum Chemistry 12.10 - Irreducible Representations
- 138 Quantum Chemistry 12.11 - Character Tables 1: Abelian
- 139 Quantum Chemistry 12.12 - Character Tables 2: Non-Abelian
- 140 Quantum Chemistry 12.13 - Determining Irreps
- 141 Quantum Chemistry 12.14 - Generating Operators
- 142 Quantum Chemistry 12.15 - Irrep Direct Products
- 143 Quantum Chemistry 12.16 - Symmetry IR / Raman Activity
- 144 Quantum Chemistry 13.1 - Nuclear Spin
- 145 Quantum Chemistry 13.2 - Nuclear Magnetic Dipole
- 146 Quantum Chemistry 13.3 - Nuclear Magnetic Resonance
- 147 Quantum Chemistry 13.4 - NMR Spectrometer
- 148 Quantum Chemistry 13.5 - Magnetic Shielding
- 149 Quantum Chemistry 13.6 - Chemical Shift
- 150 Quantum Chemistry 13.7 - Spin-Spin Coupling
- 151 Quantum Chemistry 13.8 - First Order Spectra
- 152 Quantum Chemistry 13.9 - Chemical Equivalence
- 153 Quantum Chemistry 13.10 - N+1 Rule
- 154 Quantum Chemistry 13.11 - Second Order Spectra
- 155 Quantum Chemistry 14.1 - Particle in a Ring Model
- 156 Quantum Chemistry 14.2 - Particle in a Ring Energies
- 157 Quantum Chemistry 14.3 - Particle in a Ring Wavefunctions
- 158 Quantum Chemistry 14.4 - Huckel's Rule
- 159 Quantum Chemistry 14.5 - Aromatic UV-Vis Spectra
- 160 Quantum Chemistry 14.6 - Particle in a Ring Eigenvalues