Overview

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Explore a comprehensive lecture series on advanced chemistry topics, covering quantum mechanics, spectroscopy, and molecular structure. Delve into complex numbers, differential equations, and quantum principles before examining atomic models and the Schrödinger equation. Investigate particle behavior, quantum postulates, and various potential systems. Study harmonic oscillators, rotational spectroscopy, and the hydrogen atom. Explore the Zeeman effect, variational principle, and molecular orbital theory. Examine hybridization, VSEPR theory, and spectroscopic techniques like NMR and electronic transitions. Gain a deep understanding of fundamental physical chemistry concepts and their applications in modern scientific research.

Syllabus

Lecture 0 (1 of 1) - Course Introduction.
Lecture 1 (1 of 2) - Complex Numbers.
Lecture 1 (2 of 2) - Euler's Formula.
Lecture 2 (1 of 3) - Differential Equations Introduction.
Lecture 2 (2 of 3) - First Order DE Example.
Lecture 2 (3 of 3) - Second Order ODE.
Lecture 3 (1 of 3) - Quantization.
Lecture 3 (2 of 3) - Photoelectric Effect Example.
Lecture 3 (3 of 3) - Heat Capacities Of Solids.
Lecture 4 (1 of 6) - Spectroscopy and the Hydrogen Atom.
Lecture 4 (2 of 6) - The Rutherford Atom.
Lecture 4 (3 of 6) - The Bohr Radius.
Lecture 4 (4 of 6) - The Bohr Atom.
Lecture 4 (5 of 6) - Bohr Model Examples.
Lecture 4 (6 of 6) - de Broglie and Heisenberg.
Lecture 5 (1 of 2) - Probability Definitions.
Lecture 5 (2 of 2) - Continuous Distribution Example.
Lecture 6 (1 of 6) - The Schrödinger Equation.
Lecture 6 (2 of 6) - Particle in a Box Part 1.
Lecture 6 (3 of 6) - Particle in a Box Part 2.
Lecture 6 (4 of 6) - Butadiene Example.
Lecture 6 (5 of 6) - Normalization.
Lecture 6 (6 of 6) - Probability of Finding the Particle.
Lecture 7 (1 of 6) - Four Postulates of QM.
Lecture 7 (2 of 6) - Eigenfunctions and Eigenvalues.
Lecture 7 (3 of 6) - Commutation.
Lecture 7 (4 of 6) - Expectation Values.
Lecture 7 (5 of 6) - Expectation Values Part 2.
Lecture 7 (6 of 6) - Uncertainty And Commutation.
Lecture 8 (1 of 6) - Finite Potentials.
Lecture 8 (2 of 6) - Defining the Three Regions.
Lecture 8 (3 of 6) - Finite Potential Boundary Conditions.
Lecture 8 (4 of 6) - Finite Potential Solutions.
Lecture 8 (5 of 6) - Tunneling Intro.
Lecture 8 (6 of 6) - Tunneling Example.
Lecture 9 (1 of 6) - Simple Harmonic Oscillator Intro.
Lecture 9 (2 of 6) - Commutation of Ladder Operators.
Lecture 9 (3 of 6) - Use of Raising and Lowering Operators.
Lecture 9 (4 of 6) - Solving for Psi.
Lecture 9 (5 of 6) - Solving for Ground State Energy.
Lecture 9 (6 of 6) - Diatomic Molecules.
Lecture 11 (1 of 6) - Rotational Spectroscopy Intro.
Lecture 11 (2 of 6) - Setting up the Schrodinger Equation.
Lecture 11 (3 of 6) - Solving Phi.
Lecture 11 (4 of 6) - Solving Theta.
Lecture 11 (5 of 6) - Rigid Rotator Spectroscopy.
Lecture 11 (6 of 6) - Angular Momentum.
Lecture 12 (1 of 7) - The Hydrogen Atom.
Lecture 12 (2 of 7) - Hydrogen Atom Solutions.
Lecture 12 (3 of 7) - Spherical Volume Element.
Lecture 12 (4 of 7) - 1s Most Probable Radius.
Lecture 12 (5 of 7) - p orbitals.
Lecture 12 (6 of 7) - p orbital properties.
Lecture 12 (7 of 7) - d orbitals.
Lecture 13 (1 of 2) - The Zeeman Effect.
Lecture 13 (2 of 2) - Intrinsic Spin.
Lecture 14 (1 of 5) - The Secular Determinant.
Lecture 14 (2 of 5) - The Variational Principle.
Lecture 14 (3 of 5) - The Variational Principle Example.
Lecture 14 (4 of 5) - The Variational Principle Ex. Result.
Lecture 14 (5 of 5) - The Variational Principle Comparison.
Lecture 15 (1 of 6) - Hermetian Operators.
Lecture 15 (2 of 6) - H2+ Setup.
Lecture 15 (3 of 6) - H2+ Variational Principle.
Lecture 15 (4 of 6) - H2+ Wavefunctions.
Lecture 15 (5 of 6) - Molecular Orbitals.
Lecture 15 (6 of 6) - Bond Order.
Lecture 17 (1 of 6) - VSEPR and Hybridisation Intro.
Lecture 17 (2 of 6) - sp Hybridisation.
Lecture 17 (3 of 6) - sp Conclusion and sp2 Hybridisation.
Lecture 17 (4 of 6) - sp3 Hybridisation.
Lecture 17 (5 of 6) - sp3 Hybridisation (cont.).
Lecture 17 (6 of 6) - sp3 Hybridisation Conclusion.
Lecture 18 (1 of 2) - NMR Background.
Lecture 18 (2 of 2) - NMR Spectra.
Lecture 19 (1 of 2) - Electronic Transitions.
Lecture 19 (2 of 2) - Photochemistry.
Lecture 14 (2 of 6) - sp Hybridised Orbital Orientation.
Lecture 14 (1 of 6) - Molecular Orbitals.
Lecture 14 (3 of 6) - sp Hybridised Orbital Normalisation.
Lecture 14 (4 of 6) - sp3 Hybridised Orbitals Setup.
Lecture 14 (6 of 6) - sp3 Hybridised Orbitals Conclusion.
Lecture 14 (5 of 6) - sp3 Hybridised Orbitals Solved.
Lecture 15 (5 of 6) - Molecular Orbitals.
Lecture 6 (1 of 6) - The Schrödinger Equation.
Lecture 15 (6 of 6) - Bond Order.