Schedule Sort by: Date Monday Jan 09 2023 Introduction to Probability Distributions Introduction to Probability Distributions, also known as Probability Densities Reading Ch. 10 of Free Energy, pgs. 211-215 Wednesday Jan 11 2023 Introduction to the Maxwell-Boltzmann Distribution Introduction to the Maxwell-Boltzmann Distribution Reading Ch. 10 of Free Energy, pgs. 215-218 Friday Jan 13 2023 The Maxwell-Boltzmann Distribution of Velocity The Maxwell-Boltzmann Distribution of Velocity Reading Ch. 10 of Free Energy, pgs. 218-220 Friday Jan 13 2023 The Erf() Function and Integral Substitution of Variables Introduction to erf(), integral identities and substitution of variables. Reading Appendix, Ch. 10 of Free Energy Wednesday Jan 18 2023 Velocities! The average velocity, most probable velocity, and average relative velocity Reading Ch. 10 of Free Energy, pgs. 220-225 Friday Jan 20 2023 Relative Velocity, Collision Frequency and Flux Collision Frequency and Flux Reading Ch. 10 of Free Energy, pgs. 225-230. Friday Jan 20 2023 Transformation of variables in integrals via the Jacobian Transformation of variables via the Jacobian Reading Ch. 10 of Free Energy, pgs. 218, 219 and the Appendix Monday Jan 23 2023 The Photoelectric Effect and Introduction to Blackbody Radiation Introduction to Blackbody Radiation, or, Light Bulbs! How to use the Boltzmann distribution to calculate the average energy of a photon. Reading Ch. 11 of “Free Energy” pgs. 237-239 Wednesday Jan 25 2023 Light Waves in a Box! How light in a blackbody radiator must conform to Maxwell’s equations for electromagnetism. Reading Ch. 11 of “Free Energy” pgs. 240-242 Friday Jan 27 2023 The Planck Distribution How the energy density of a blackbody radiator (i.e. lightbulb) is determined by the average energy per photon times the number of modes. Reading Ch. 11 of “Free Energy” pgs. 242-246 Friday Jan 27 2023 Review of Boltzmann Statistics and Probability Distribution Function Engineering Examples on how to interpret the Boltzmann equation, and how to engineer probability distributions. Reading Ch. 11 of “Free Energy” Monday Jan 30 2023 Introduction to the Schrodinger Equation Introduction to the Schrodinger Equation Reading Ch. 11 pgs. 246-249 Ch. 12 of “Free Energy” pgs. 256-260 Wednesday Feb 01 2023 All About Wavefunctions All About Wavefunctions Reading Ch. 12 of “Free Energy” pgs. 260-264 Friday Feb 03 2023 Operators and Eigenvalue Equations Operators and Eigenvalue Equations Reading Ch. 12 of “Free Energy” pgs. 265-270 Friday Feb 03 2023 Expectation (i.e. Average) Values How to calculate expectation (i.e. average) values when the eigenvalue equation fails. Reading Ch. 12 of “Free Energy” pgs. 270-275 Monday Feb 06 2023 Proof of the Expectation Value Equation How the wavefunction of an operator can be expressed as a linear combination of another operator’s wavefunctions. Reading Ch. 12 of “Free Energy” pgs. 270-275 Wednesday Feb 08 2023 Exam 1 Review Exam 1 review session Monday Feb 13 2023 Freewaves and the Particle in a Box How to incorporate potential energy into quantum mechanics, and the use of boundary conditions to solve wavefunctions. Reading Ch. 12 of “Free Energy” pgs. 277-281 Wednesday Feb 15 2023 Barriers and Tunneling Phenomena How to set up and interpret the finite barrier problem, as well as examples of tunneling phenomena in organic and bio chemistry. Reading Ch. 13 of “Free Energy” pgs. 285-290 Friday Feb 17 2023 Practice Problems More on differential equations Friday Feb 17 2023 The Finite Box More systems with flat potentials. Reading Ch. 13 of “Free Energy” pgs. 290-294 Monday Feb 20 2023 The Harmonic Oscillator Pt. I: Vibrational Wavefunctions More on vibrational quantum mechanics. Reading Ch. 13 of “Free Energy” pgs. 295-298 Wednesday Feb 22 2023 The Harmonic Oscillator Pt. II, Turning Points Turning points, tunneling, and the kinetic isotope effect as described by vibrational quantum mechanics. Reading Ch. 13 of “Free Energy” pgs. 295-298 Friday Feb 24 2023 The Uncertainty Principle Part 1 Introduction to the uncertainty principle via decomposing wavefunctions into momentum waves (i.e. Fourier Transformation). Reading Ch. 13 of “Free Energy” pgs. 298-303 Friday Feb 24 2023 Practice problems More practice problems in QM. Monday Feb 27 2023 The Uncertainty Principle Pt. 2 How commutators determine the existence of uncertainty in quantum mechanics. Reading Ch. 13 of “Free Energy” pgs. 303-305 Wednesday Mar 01 2023 Multidimensional Quantum Mechanics and Intro to Rotation The kinetic energy operator in 3D. Also, the transformation into cylindrical coordinates and introduction to 2D rigid rotor wavefunctions. Reading Ch. 14 of “Free Energy” pgs. 316-320 Friday Mar 03 2023 The 2D Rigid Rotor More on 2D rigid rotor properties, the Hamiltonian, wavefunctions, and boundary conditions. Reading Ch. 14 of “Free Energy” pgs. 321-326 Friday Mar 03 2023 Rotation in 3D Rotation in 3D- Separability of the 3D kinetic energy operator. Reading Ch. 14 of “Free Energy” pgs. 326-330 Monday Mar 06 2023 3D Rigid Rotor Wavefunctions and Spin The spherical harmonic wavefunctions and introduction to spin angular momentum. Reading Ch. 14 of “Free Energy” pgs. 330-332 Wednesday Mar 08 2023 Exam2 Review Exam2 Review Monday Mar 13 2023 Separability of the Hydrogen Atom Hamiltonian How to separate the hydrogen atom Hamiltonian into radial and angular components. Reading Ch. 15 of “Free Energy” pgs. 347-351 Wednesday Mar 15 2023 Separability of the Hydrogen Atom Hamiltonian Pt. II The radial part of the Hydrogen atom’s Hamiltonian. Reading Ch. 15 of “Free Energy” pgs. 347-351 Friday Mar 17 2023 Hydrogen Radial Wavefunctions The solution(s) to the radial Schrodinger Equation for the hydrogen atom. Reading Ch. 15 of “Free Energy” pgs. 352-356 Friday Mar 17 2023 HW 8 Review Session Extra Help on HW8 Monday Mar 27 2023 Hydrogen P, D States and Intro to Spectroscopy How to not let an atom rotate and the spectroscopic dipole operator. Reading Ch. 15 of “Free Energy” pgs. 357-361 Wednesday Mar 29 2023 Spectroscopy Selection Rules and Introduction to Spin Spectroscopy Selection Rules and Introduction to Spin Reading Ch. 15 of “Free Energy” pgs. 361-363 Friday Mar 31 2023 Multielectron Atoms, Shielding and the Pauli Principle Multielectron Wavefunctions and the Pauli Principle Reading Ch. 15 of “Free Energy” pgs. 363-367 Friday Mar 31 2023 Quantum Matrix Mechanics How quantum calculations are performed with matrices to create molecular orbitals. Monday Apr 03 2023 Spin States and the Exchange Interaction Singlet and Triplet States and the Exchange Interaction Reading Ch. 15 of “Free Energy” pgs. 367-370 Wednesday Apr 05 2023 Exchange, Magnetism and Spin-Orbit Coupling Shielding and Spin-Orbit Coupling Reading Ch. 15 of “Free Energy” pgs. 370-373 Friday Apr 07 2023 The Electromagnetic Spectrum The Electromagnetic Spectrum Reading Friday Apr 07 2023 Why Everything You Learned is a Lie The time-dependent Schrodinger equation and the Dirac equation. Monday Apr 10 2023 Spectroscopy: Rotation and Vibration Additional details on rotational and vibrational spectroscopies. Reading Wednesday Apr 12 2023 UV/Vis Spectroscopy and Molecular Orbitals Where do molecular orbitals come from? And the Franck-Condon principle. Reading Friday Apr 14 2023 Kinetics Pt. 2: Reaction Mechanisms Kinetics Pt. 2: Consecutive reactions and complex mechanisms. Reading Friday Apr 14 2023 Introduction to Kinetics First and second order kinetics- rate laws and rate expressions. Reading Monday Apr 17 2023 Kinetics: Consecutive Reactions and Equilibrium How kinetics can be used to describe a return to equilibrium. Reading Wednesday Apr 19 2023 Exam 3 Review Exam 3 Review Monday Apr 24 2023 Enzyme Kinetics Enzyme kinetics, specifically the Michaelis-Menten paradigm. Wednesday Apr 26 2023 Summary of Physical Chemistry How to calculate thermodynamic properties starting from quantum mechanics. Friday Apr 28 2023 Final Exam Review Material from exams 2 & 3.
Monday Jan 09 2023 Introduction to Probability Distributions Introduction to Probability Distributions, also known as Probability Densities Reading Ch. 10 of Free Energy, pgs. 211-215
Wednesday Jan 11 2023 Introduction to the Maxwell-Boltzmann Distribution Introduction to the Maxwell-Boltzmann Distribution Reading Ch. 10 of Free Energy, pgs. 215-218
Friday Jan 13 2023 The Maxwell-Boltzmann Distribution of Velocity The Maxwell-Boltzmann Distribution of Velocity Reading Ch. 10 of Free Energy, pgs. 218-220
Friday Jan 13 2023 The Erf() Function and Integral Substitution of Variables Introduction to erf(), integral identities and substitution of variables. Reading Appendix, Ch. 10 of Free Energy
Wednesday Jan 18 2023 Velocities! The average velocity, most probable velocity, and average relative velocity Reading Ch. 10 of Free Energy, pgs. 220-225
Friday Jan 20 2023 Relative Velocity, Collision Frequency and Flux Collision Frequency and Flux Reading Ch. 10 of Free Energy, pgs. 225-230.
Friday Jan 20 2023 Transformation of variables in integrals via the Jacobian Transformation of variables via the Jacobian Reading Ch. 10 of Free Energy, pgs. 218, 219 and the Appendix
Monday Jan 23 2023 The Photoelectric Effect and Introduction to Blackbody Radiation Introduction to Blackbody Radiation, or, Light Bulbs! How to use the Boltzmann distribution to calculate the average energy of a photon. Reading Ch. 11 of “Free Energy” pgs. 237-239
Wednesday Jan 25 2023 Light Waves in a Box! How light in a blackbody radiator must conform to Maxwell’s equations for electromagnetism. Reading Ch. 11 of “Free Energy” pgs. 240-242
Friday Jan 27 2023 The Planck Distribution How the energy density of a blackbody radiator (i.e. lightbulb) is determined by the average energy per photon times the number of modes. Reading Ch. 11 of “Free Energy” pgs. 242-246
Friday Jan 27 2023 Review of Boltzmann Statistics and Probability Distribution Function Engineering Examples on how to interpret the Boltzmann equation, and how to engineer probability distributions. Reading Ch. 11 of “Free Energy”
Monday Jan 30 2023 Introduction to the Schrodinger Equation Introduction to the Schrodinger Equation Reading Ch. 11 pgs. 246-249 Ch. 12 of “Free Energy” pgs. 256-260
Wednesday Feb 01 2023 All About Wavefunctions All About Wavefunctions Reading Ch. 12 of “Free Energy” pgs. 260-264
Friday Feb 03 2023 Operators and Eigenvalue Equations Operators and Eigenvalue Equations Reading Ch. 12 of “Free Energy” pgs. 265-270
Friday Feb 03 2023 Expectation (i.e. Average) Values How to calculate expectation (i.e. average) values when the eigenvalue equation fails. Reading Ch. 12 of “Free Energy” pgs. 270-275
Monday Feb 06 2023 Proof of the Expectation Value Equation How the wavefunction of an operator can be expressed as a linear combination of another operator’s wavefunctions. Reading Ch. 12 of “Free Energy” pgs. 270-275
Monday Feb 13 2023 Freewaves and the Particle in a Box How to incorporate potential energy into quantum mechanics, and the use of boundary conditions to solve wavefunctions. Reading Ch. 12 of “Free Energy” pgs. 277-281
Wednesday Feb 15 2023 Barriers and Tunneling Phenomena How to set up and interpret the finite barrier problem, as well as examples of tunneling phenomena in organic and bio chemistry. Reading Ch. 13 of “Free Energy” pgs. 285-290
Friday Feb 17 2023 The Finite Box More systems with flat potentials. Reading Ch. 13 of “Free Energy” pgs. 290-294
Monday Feb 20 2023 The Harmonic Oscillator Pt. I: Vibrational Wavefunctions More on vibrational quantum mechanics. Reading Ch. 13 of “Free Energy” pgs. 295-298
Wednesday Feb 22 2023 The Harmonic Oscillator Pt. II, Turning Points Turning points, tunneling, and the kinetic isotope effect as described by vibrational quantum mechanics. Reading Ch. 13 of “Free Energy” pgs. 295-298
Friday Feb 24 2023 The Uncertainty Principle Part 1 Introduction to the uncertainty principle via decomposing wavefunctions into momentum waves (i.e. Fourier Transformation). Reading Ch. 13 of “Free Energy” pgs. 298-303
Monday Feb 27 2023 The Uncertainty Principle Pt. 2 How commutators determine the existence of uncertainty in quantum mechanics. Reading Ch. 13 of “Free Energy” pgs. 303-305
Wednesday Mar 01 2023 Multidimensional Quantum Mechanics and Intro to Rotation The kinetic energy operator in 3D. Also, the transformation into cylindrical coordinates and introduction to 2D rigid rotor wavefunctions. Reading Ch. 14 of “Free Energy” pgs. 316-320
Friday Mar 03 2023 The 2D Rigid Rotor More on 2D rigid rotor properties, the Hamiltonian, wavefunctions, and boundary conditions. Reading Ch. 14 of “Free Energy” pgs. 321-326
Friday Mar 03 2023 Rotation in 3D Rotation in 3D- Separability of the 3D kinetic energy operator. Reading Ch. 14 of “Free Energy” pgs. 326-330
Monday Mar 06 2023 3D Rigid Rotor Wavefunctions and Spin The spherical harmonic wavefunctions and introduction to spin angular momentum. Reading Ch. 14 of “Free Energy” pgs. 330-332
Monday Mar 13 2023 Separability of the Hydrogen Atom Hamiltonian How to separate the hydrogen atom Hamiltonian into radial and angular components. Reading Ch. 15 of “Free Energy” pgs. 347-351
Wednesday Mar 15 2023 Separability of the Hydrogen Atom Hamiltonian Pt. II The radial part of the Hydrogen atom’s Hamiltonian. Reading Ch. 15 of “Free Energy” pgs. 347-351
Friday Mar 17 2023 Hydrogen Radial Wavefunctions The solution(s) to the radial Schrodinger Equation for the hydrogen atom. Reading Ch. 15 of “Free Energy” pgs. 352-356
Monday Mar 27 2023 Hydrogen P, D States and Intro to Spectroscopy How to not let an atom rotate and the spectroscopic dipole operator. Reading Ch. 15 of “Free Energy” pgs. 357-361
Wednesday Mar 29 2023 Spectroscopy Selection Rules and Introduction to Spin Spectroscopy Selection Rules and Introduction to Spin Reading Ch. 15 of “Free Energy” pgs. 361-363
Friday Mar 31 2023 Multielectron Atoms, Shielding and the Pauli Principle Multielectron Wavefunctions and the Pauli Principle Reading Ch. 15 of “Free Energy” pgs. 363-367
Friday Mar 31 2023 Quantum Matrix Mechanics How quantum calculations are performed with matrices to create molecular orbitals.
Monday Apr 03 2023 Spin States and the Exchange Interaction Singlet and Triplet States and the Exchange Interaction Reading Ch. 15 of “Free Energy” pgs. 367-370
Wednesday Apr 05 2023 Exchange, Magnetism and Spin-Orbit Coupling Shielding and Spin-Orbit Coupling Reading Ch. 15 of “Free Energy” pgs. 370-373
Friday Apr 07 2023 Why Everything You Learned is a Lie The time-dependent Schrodinger equation and the Dirac equation.
Monday Apr 10 2023 Spectroscopy: Rotation and Vibration Additional details on rotational and vibrational spectroscopies. Reading
Wednesday Apr 12 2023 UV/Vis Spectroscopy and Molecular Orbitals Where do molecular orbitals come from? And the Franck-Condon principle. Reading
Friday Apr 14 2023 Kinetics Pt. 2: Reaction Mechanisms Kinetics Pt. 2: Consecutive reactions and complex mechanisms. Reading
Friday Apr 14 2023 Introduction to Kinetics First and second order kinetics- rate laws and rate expressions. Reading
Monday Apr 17 2023 Kinetics: Consecutive Reactions and Equilibrium How kinetics can be used to describe a return to equilibrium. Reading
Wednesday Apr 26 2023 Summary of Physical Chemistry How to calculate thermodynamic properties starting from quantum mechanics.