Lecture Description
Physical chemistry microlecture on the origin of the n+1 rule for coupling between a proton and a set of chemically equivalent protons.
Course Index
- Introduction
- Blackbody Radiation
- Photoelectric Effect
- Rydberg Formula
- Bohr Hydrogen Model 1: Radius
- Bohr Hydrogen Model 2: Energy
- Wave-Particle Duality
- Heisenberg Uncertainty Principle in Measurement
- Classical Wave Equation
- Vibrating String
- Vibrating String Animation
- Schrodinger Equation "Derivation"
- Operators
- Eigenvalues and Eigenfunctions
- Interpreting the Wavefunction
- Particle in a Box
- Normalization
- Particle in a Box Wavefunction Plots
- UV-Vis Spectra of Polyenes
- Average Position
- Average Momentum
- 3-D Particle in a Box
- Degeneracy
- Postulates of Quantum Mechanics 1: Wavefunction
- Postulates of Quantum Mechanics 2: Operators
- Postulates of Quantum Mechanics 3: Measurement
- Postulates of Quantum Mechanics 4: Expectation Values
- Postulates of Quantum Mechanics 5: Schrodinger Equation
- Commutators
- Hermitian Operators
- Dirac Notation
- Orthogonality
- Superposition Principle 1: Basis Sets
- Superposition Principle 2: Expectation Values
- Superposition Principle 3: Example
- Commuting Operators
- Time Dependence
- Time Dependence Animation
- Wavefunction Collapse
- Schrodinger's Cat
- Correspondence Principle
- Harmonic Oscillator Model
- Classical Harmonic Oscillator 1: Trajectory
- Classical Harmonic Oscillator 2: Energy
- Reduced Mass
- Harmonic Oscillator Energy Levels
- Diatomic Infrared Spectra
- Anharmonicity and Overtones
- Harmonic Oscillator Wavefunctions
- Even and Odd Functions
- Harmonic Oscillator Even and Odd Functions
- 3-D Harmonic Oscillator
- Polyatomic Molecular Vibrations
- Rigid Rotor Model
- Rotation Operators
- Rigid Rotor Energy Levels
- Diatomic Microwave Spectra
- Rovibrational Energy Levels
- Diatomic Rovibrational Spectra
- Microwave Spectroscopy Example
- Rotation-Vibration Interaction
- Centrifugal Distortion
- Rigid Rotor Wavefunctions
- Orthonormality of Spherical Harmonics
- Angular Momentum Eigenvalues
- Hydrogen Atom Model
- Hydrogen Atom Energy Levels
- Hydrogen Atom Radial Wavefunctions
- Hydrogen Atom Total Wavefunctions
- Hydrogen Atomic Orbital Nodes
- Hydrogen Orbital Eigenvalues
- Hydrogen Atom Radius
- Hydrogen Atom Radial Wavefunction Animation
- Virial Theorem
- Zeeman Effect
- Electron Spin
- Spin-Orbit Coupling
- Hydrogen Atom Term Symbols
- Hydrogen Atom Spectrum
- Helium Atom Hamiltonian
- Variational Principle
- Variational Principle Example
- Linear Variational Method
- Secular Determinant
- Linear Variational Example
- Perturbation Theory
- Perturbation Theory Derivation
- Perturbation Theory Example
- Atomic Units
- Helium Atom Energy Approximations
- Hartree-Fock Helium Atom
- Hartree-Fock Helium Energy
- Antisymmetry Principle
- Slater Determinants
- Hartreee-Fock Atomic Energy
- Hartree-Fock Operators
- Hartree-Fock-Roothaan Equations
- Hartee-Fock Spin
- Post Hartree-Fock Methods
- Atomic Electron Configurations
- Electron Configuration Exceptions
- Atomic Term Symbols
- Term Symbols Example 1
- Term Symbols Example 2
- Term Symbols Example 3
- Hund's Rules
- Atomic Spectra
- Hydrogen Molecule Hamiltonian
- Born-Oppenheimer Approximation
- Hydrogen Molecule-Ion 1: Energy
- Hydrogen Molecule-Ion 2: Orbitals
- Molecular Orbital Angular Momentum
- Molecular Orbital Inversion Symmetry
- Hydrogen Molecular Orbital Diagram
- LCAO-MO Theory
- Diatomic Molecular Orbital Diagrams
- Bond Order
- Diatomic Term Symbols
- Total Wavefunction Symmetry
- sp Hybridization
- sp2 Hybridization
- sp3 Hybridization
- Lone Pair Hybridization
- Walsh Diagrams
- Huckel Theory
- Pi Resonance
- Aromaticity
- Symmetry Websites
- Symmetry Operations
- Symmetry Elements
- Groups
- Point Groups
- Point Group Examples
- Point Group Flow Chart
- Group Multiplication Tables
- Symmetry Operator Matrices
- Irreducible Representations
- Character Tables 1
- Character Tables 2
- Determining Irreps
- Generating Operators
- Group Theory Example
- Nuclear Spin
- Magnetic Moments
- Nuclear Magnetic Resonance
- NMR Spectrometer
- Magnetic Shielding
- Chemical Shift
- Spin-Spin Coupling
- First Order Spectra
- Chemical Equivalence
- The n+1 Rule
- Second Order Spectra
- Particle in a Ring Model
- Particle in a Ring Energies
- Particle in a Ring Wavefunctions
- Huckel's Rule
- UV-Vis Spectrum of Aromatics
- Particle in a Ring Eigenvalues
Course Description
Physical chemistry microlectures covering the topics of an undergraduate physical chemistry course on quantum chemistry and spectroscopy. Topics include the need for quantum theory, the classical wave equation, the principles of quantum mechanics, particle in a box, harmonic oscillator, rigid rotor, hydrogen atom, approximate methods, multielectron atoms, chemical bonding, NMR, and particle in a ring.
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