Explore an extensive undergraduate-level lecture series on quantum chemistry and spectroscopy. Delve into fundamental concepts such as the need for quantum theory, classical wave equations, and principles of quantum mechanics. Examine key models like particle in a box, harmonic oscillator, rigid rotor, and hydrogen atom. Progress through advanced topics including approximate methods, multielectron atoms, diatomic and polyatomic bonding, symmetry and group theory, NMR spectroscopy, and particle in a ring. Gain a comprehensive understanding of quantum mechanics applied to chemical systems through detailed explanations, mathematical derivations, and practical examples in spectroscopy and molecular structure.
Overview
Syllabus
Quantum Chemistry 0.1 - Introduction.
Quantum Chemistry 1.1 - Blackbody Radiation.
Quantum Chemistry 1.2 - Photoelectric Effect.
Quantum Chemistry 1.3 - Rydberg Formula.
Quantum Chemistry 1.4 - Bohr Hydrogen Model 1: Radius.
Quantum Chemistry 1.5 - Bohr Hydrogen Model 2: Energy.
Quantum Chemistry 1.6 - Wave-Particle Duality.
Quantum Chemistry 1.7 - Uncertainty Principle in Measurement.
Quantum Chemistry 2.1 - Classical Wave Equation.
Quantum Chemistry 2.2 - Vibrating String.
Quantum Chemistry 2.3 - Vibrating String Animation.
Quantum Chemistry 3.1 - Schrodinger Equation "Derivation".
Quantum Chemistry 3.2 - Operators.
Quantum Chemistry 3.3 - Eigenvalues and Eigenfunctions.
Quantum Chemistry 3.4 - Interpreting the Wavefunction.
Quantum Chemistry 3.5 - Particle in a Box.
Quantum Chemistry 3.6 - Normalization.
Quantum Chemistry 3.7 - Particle in a Box Wavefunction Plots.
Quantum Chemistry 3.8 - UV-Vis Spectra of Polyenes.
Quantum Chemistry 3.9 - Average Position.
Quantum Chemistry 3.10 - Average Momentum.
Quantum Chemistry 3.11 - 3-D Particle in a Box.
Quantum Chemistry 3.12 - Degeneracy.
Quantum Chemistry 4.1 - Postulates of Quantum Mechanics 1: Wavefunction.
Quantum Chemistry 4.2 - Postulates of Quantum Mechanics 2: Operators.
Quantum Chemistry 4.3 - Postulates of Quantum Mechanics 3: Measurement.
Quantum Chemistry 4.4 - Postulates of Quantum Mechanics 4: Expectation Values.
Quantum Chemistry 4.5 - Postulates of Quantum Mechanics 5: Schrodinger Equation.
Quantum Chemistry 4.6 - Commutators.
Quantum Chemistry 4.7 - Hermitian Operators.
Quantum Chemistry 4.8 - Dirac Notation.
Quantum Chemistry 4.9 - Orthogonality.
Quantum Chemistry 4.10 - Superposition Principle 1: Basis Sets.
Quantum Chemistry 4.11 - Superposition Principle 2: Expectation Values.
Quantum Chemistry 4.12 - Superposition Principle 3: Example.
Quantum Chemistry 4.13 - Commuting Operators.
Quantum Chemistry 4.14 - Time Dependence.
Quantum Chemistry 4.15 - Time Dependence Animation.
Quantum Chemistry 4.16 - Wavefunction Collapse.
Quantum Chemistry 4.17 - Schrodinger's Cat.
Quantum Chemistry 4.18 - Correspondence Principle.
Quantum Chemistry 5.1 - Harmonic Oscillator Model.
Quantum Chemistry 5.2 - Classical Harmonic Oscillator 1: Trajectory.
Quantum Chemistry 5.3 - Classical Harmonic Oscillator 2: Energy.
Quantum Chemistry 5.4 - Reduced Mass.
Quantum Chemistry 5.5 - Harmonic Oscillator Energy Levels.
Quantum Chemistry 5.6 - Diatomic Infrared Spectra.
Quantum Chemistry 5.7 - Anharmonicity and Overtones.
Quantum Chemistry 5.8 - Harmonic Oscillator Wavefunctions.
Quantum Chemistry 5.9 - Even and Odd Functions.
Quantum Chemistry 5.10 - Harmonic Oscillator Even and Odd Functions.
Quantum Chemistry 5.11 - 3-D Harmonic Oscillator.
Quantum Chemistry 5.12 - Polyatomic Molecular Vibrations.
Quantum Chemistry 6.1 - Rigid Rotor Model.
Quantum Chemistry 6.2 - Rotation Operators.
Quantum Chemistry 6.3 - Rigid Rotor Energy Levels.
Quantum Chemistry 6.4 - Diatomic Microwave Spectra.
Quantum Chemistry 6.5 - Rovibrational Energy Levels.
Quantum Chemistry 6.6 - Diatomic Rovibrational Spectra.
Quantum Chemistry 6.7 - Microwave Spectroscopy Example.
Quantum Chemistry 6.8 - Rotation-Vibration Interaction.
Quantum Chemistry 6.9 - Centrifugal Distortion.
Quantum Chemistry 6.10 - Rigid Rotor Wavefunctions.
Quantum Chemistry 6.11 - Orthonormality of Spherical Harmonics.
Quantum Chemistry 6.12 - Angular Momentum Eigenvalues.
Quantum Chemistry 7.1 - Hydrogen Atom Model.
Quantum Chemistry 7.2 - Hydrogen Atom Energy Levels.
Quantum Chemistry 7.3 - Hydrogen Atom Radial Wavefunctions.
Quantum Chemistry 7.4 - Hydrogen Atom Total Wavefunctions.
Quantum Chemistry 7.5 - Hydrogen Atomic Orbital Nodes.
Quantum Chemistry 7.6 - Hydrogen Atom Eigenvalues.
Quantum Chemistry 7.7 - Hydrogen Atom Radius.
Quantum Chemistry 7.8 - Hydrogen Atom Radial Wavefunction Animation.
Quantum Chemistry 7.9 - Virial Theorem.
Quantum Chemistry 7.10 - Zeeman Effect.
Quantum Chemistry 7.11 - Electron Spin.
Quantum Chemistry 7.12 - Spin-Orbit Coupling.
Quantum Chemistry 7.13 - Hydrogen Atom Term Symbols.
Quantum Chemistry 7.14 - Hydrogen Atom Spectrum.
Quantum Chemistry 7.15 - Helium Atom Hamiltonian.
Quantum Chemistry 8.1 - Variational Principle.
Quantum Chemistry 8.2 - Variational Principle Example.
Quantum Chemistry 8.3 - Linear Variational Method.
Quantum Chemistry 8.4 - Secular Determinant.
Quantum Chemistry 8.5 - Linear Variational Example.
Quantum Chemistry 8.6 - Perturbation Theory.
Quantum Chemistry 8.7 - Perturbation Theory Derivation.
Quantum Chemistry 8.8 - Perturbation Theory Example.
Quantum Chemistry 9.1 - Atomic Units.
Quantum Chemistry 9.2 - Helium Atom Energy Approximations.
Quantum Chemistry 9.3 - Hartree-Fock Helium Atom.
Quantum Chemistry 9.4 - Hartree-Fock Helium Energy.
Quantum Chemistry 9.5 - Antisymmetry Principle.
Quantum Chemistry 9.6 - Slater Determinants.
Quantum Chemistry 9.7 - Hartree-Fock Atomic Energy.
Quantum Chemistry 9.8 - Hartree-Fock Operators.
Quantum Chemistry 9.9 - Hartree-Fock-Roothaan Equations.
Quantum Chemistry 9.10 - Hartree-Fock Spin.
Quantum Chemistry 9.11 - Post Hartree-Fock Methods.
Quantum Chemistry 9.12 - Atomic Electron Configurations.
Quantum Chemistry 9.13 - Electron Configuration Exceptions.
Quantum Chemistry 9.14 - Atomic Term Symbols.
Quantum Chemistry 9.15 - Term Symbols Example 1.
Quantum Chemistry 9.16 - Term Symbols Example 2.
Quantum Chemistry 9.17 - Term Symbols Example 3.
Quantum Chemistry 9.18 - Hund's Rules.
Quantum Chemistry 9.19 - Atomic Spectra.
Quantum Chemistry 10.1 - Hydrogen Molecule Hamiltonian.
Quantum Chemistry 10.2 - Born-Oppenheimer Approximation.
Quantum Chemistry 10.3 - Hydrogen Molecule-Ion 1: Energy.
Quantum Chemistry 10.4 - Hydrogen Molecule-Ion 2: Orbitals.
Quantum Chemistry 10.5 - Molecular Orbital Angular Momentum.
Quantum Chemistry 10.6 - Molecular Orbital Inversion Symmetry.
Quantum Chemistry 10.7 - Hydrogen Molecular Orbital Diagram.
Quantum Chemistry 10.8 - LCAO-MO Theory.
Quantum Chemistry 10.9 - Diatomic Molecular Orbital Diagrams.
Quantum Chemistry 10.10 - Bond Order.
Quantum Chemistry 10.11 - Diatomic Term Symbols.
Quantum Chemistry 10.12 - Total Wavefunction Symmetry.
Quantum Chemistry 11.1 - sp Hybridization.
Quantum Chemistry 11.2 - sp2 Hybridization.
Quantum Chemistry 11.3 - sp3 Hybridization.
Quantum Chemistry 11.4 - Lone Pair Hybridization.
Quantum Chemistry 11.5 - Walsh Diagrams.
Quantum Chemistry 11.6 - Huckel Theory.
Quantum Chemistry 11.7 - Pi Resonance.
Quantum Chemistry 11.8 - Aromaticity.
Quantum Chemistry 12.1 - Symmetry Websites.
Quantum Chemistry 12.2 - Symmetry Operations.
Quantum Chemistry 12.3 - Symmetry Elements.
Quantum Chemistry 12.4 - Groups.
Quantum Chemistry 12.5 - Point Groups.
Quantum Chemistry 12.6 - Point Group Examples.
Quantum Chemistry 12.7 - Determining Point Groups.
Quantum Chemistry 12.8 - Group Multiplication Tables.
Quantum Chemistry 12.9 - Symmetry Operator Matrices.
Quantum Chemistry 12.10 - Irreducible Representations.
Quantum Chemistry 12.11 - Character Tables 1: Abelian.
Quantum Chemistry 12.12 - Character Tables 2: Non-Abelian.
Quantum Chemistry 12.13 - Determining Irreps.
Quantum Chemistry 12.14 - Generating Operators.
Quantum Chemistry 12.15 - Irrep Direct Products.
Quantum Chemistry 12.16 - Symmetry IR / Raman Activity.
Quantum Chemistry 13.1 - Nuclear Spin.
Quantum Chemistry 13.2 - Nuclear Magnetic Dipole.
Quantum Chemistry 13.3 - Nuclear Magnetic Resonance.
Quantum Chemistry 13.4 - NMR Spectrometer.
Quantum Chemistry 13.5 - Magnetic Shielding.
Quantum Chemistry 13.6 - Chemical Shift.
Quantum Chemistry 13.7 - Spin-Spin Coupling.
Quantum Chemistry 13.8 - First Order Spectra.
Quantum Chemistry 13.9 - Chemical Equivalence.
Quantum Chemistry 13.10 - N+1 Rule.
Quantum Chemistry 13.11 - Second Order Spectra.
Quantum Chemistry 14.1 - Particle in a Ring Model.
Quantum Chemistry 14.2 - Particle in a Ring Energies.
Quantum Chemistry 14.3 - Particle in a Ring Wavefunctions.
Quantum Chemistry 14.4 - Huckel's Rule.
Quantum Chemistry 14.5 - Aromatic UV-Vis Spectra.
Quantum Chemistry 14.6 - Particle in a Ring Eigenvalues.
Taught by
TMP Chem
