Schedule Sort by: Date Monday Jan 08 2024 Introduction to Probability Distributions Introduction to Probability Distributions, also known as Probability Densities Reading Ch. 10 of Free Energy, pgs. 235-240 Wednesday Jan 10 2024 Introduction to the Maxwell-Boltzmann Distribution Introduction to the Maxwell-Boltzmann Distribution Reading Ch. 10 of Free Energy, pgs. 240-243 Friday Jan 12 2024 The Maxwell-Boltzmann Distribution of Velocity The Maxwell-Boltzmann Distribution of Velocity Reading Ch. 10 of Free Energy, pgs. 244-246 Friday Jan 12 2024 The Erf() Function and Integral Substitution of Variables Introduction to erf(), integral identities and substitution of variables. Reading Gaussian Integral Identities box on pg. 250 of Ch. 10, Free Energy Wednesday Jan 17 2024 Velocities! The average velocity, most probable velocity, and average relative velocity Reading Ch. 10 of Free Energy, pgs. 246-251 Friday Jan 19 2024 Relative Velocity, Collision Frequency and Flux Collision Frequency and Flux Reading Ch. 10 of Free Energy, pgs. 251-257. Friday Jan 19 2024 Transformation of variables in integrals via the Jacobian Transformation of variables via the Jacobian Reading Ch. 10 of Free Energy, pgs. 243- 245 and the Appendix Monday Jan 22 2024 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. 266-269 Wednesday Jan 24 2024 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. 269-272 Friday Jan 26 2024 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. 273-276 Friday Jan 26 2024 Review of Boltzmann Statistics and Probability Distribution Function Engineering Examples on how to interpret the Boltzmann equation, and how to engineer probability distributions. Reading Review of Chapters 10 and 11 of “Free Energy” Monday Jan 29 2024 Introduction to the Schrodinger Equation Introduction to the Schrodinger Equation Reading Ch. 11 pgs. 276-279, Ch. 12 of “Free Energy” pgs. 286-290 Wednesday Jan 31 2024 All About Wavefunctions All About Wavefunctions Reading Ch. 12 of “Free Energy” pgs. 290-296 Friday Feb 02 2024 Operators and Eigenvalue Equations Operators and Eigenvalue Equations Reading Ch. 12 of “Free Energy” pgs. 296-301 Friday Feb 02 2024 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. 274-279 Monday Feb 05 2024 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. 301-306 Wednesday Feb 07 2024 Exam 1 Review Exam 1 review session Monday Feb 12 2024 Freewaves and Barrier Potentials Bound vs. unbound states, the flux operator, and potential surfaces with barriers. Reading Ch. 12 of “Free Energy” pgs. 308-311 and Ch. 13 pgs. 314-317 Wednesday Feb 14 2024 Reflection off a Barrier and Tunneling Phenomena Reflection off a step potential barrier and tunneling through a finite barrier. Also examples of tunneling phenomena in organic and biochemistry. Reading Ch. 13 of “Free Energy” pgs. 318-320 Friday Feb 16 2024 Practice Problems More on differential equations Friday Feb 16 2024 Particle in an Infinite vs. Finite Box The particle in a box problem. Reading Ch. 13 of “Free Energy” pgs. 320-326 Monday Feb 19 2024 The Harmonic Oscillator Pt. I: Vibrational Wavefunctions Vibrational quantum mechanics, starting with the wavefunctions. Reading Ch. 13 of “Free Energy” pgs. 326-330 Wednesday Feb 21 2024 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. 326-330 Friday Feb 23 2024 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. 331-336 Friday Feb 23 2024 Practice problems More practice problems in QM. Monday Feb 26 2024 The Uncertainty Principle Pt. 2 How commutators determine the existence of uncertainty in quantum mechanics. Reading Ch. 13 of “Free Energy” pgs. 336-338 Wednesday Feb 28 2024 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. 362-367 Friday Mar 01 2024 The 2D Rigid Rotor More on 2D rigid rotor properties, the Hamiltonian, wavefunctions, and boundary conditions. Reading Ch. 14 of “Free Energy” pgs. 368-374 Friday Mar 01 2024 Rotation in 3D Rotation in 3D- Separability of the 3D kinetic energy operator. Reading Ch. 14 of “Free Energy” pgs. 374-378 Monday Mar 04 2024 3D Rigid Rotor Wavefunctions and Spin The spherical harmonic wavefunctions and introduction to spin angular momentum. Reading Ch. 14 of “Free Energy” pgs. 378-380 Wednesday Mar 06 2024 Exam2 Review Exam2 Review Monday Mar 11 2024 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. 396-400 Wednesday Mar 13 2024 Separability of the Hydrogen Atom Hamiltonian Pt. II The radial part of the hydrogen atom’s Hamiltonian. Reading Ch. 15 of “Free Energy” pgs. 400-403 Friday Mar 15 2024 Hydrogen Radial Wavefunctions The solution(s) to the radial Schrodinger Equation for the hydrogen atom. Reading Ch. 15 of “Free Energy” pgs. 404-408 Friday Mar 15 2024 HW 8 Review Session Extra Help on HW8 Monday Mar 25 2024 Hydrogen P, D States and Spin-Orbit Interactions How to not let an atom rotate and the spectroscopic dipole operator. Reading Ch. 15 of “Free Energy” pgs. 408-411 Wednesday Mar 27 2024 Spectroscopy, Selection Rules Spectroscopy Selection Rules Reading Ch. 15 of “Free Energy” pgs. 412-414 Friday Mar 29 2024 Multielectron Atoms, Shielding and the Pauli Principle Multielectron Wavefunctions and the Pauli Principle Reading Ch. 15 of “Free Energy” pgs. 414-418 Friday Mar 29 2024 Quantum Matrix Mechanics How quantum calculations are performed with matrices to create molecular orbitals. Monday Apr 01 2024 Spin States and the Exchange Interaction Singlet and Triplet States and the Exchange Interaction Reading Ch. 15 of “Free Energy” pgs. 418-421 Wednesday Apr 03 2024 Exchange, Magnetism and Spin-Orbit Coupling Shielding and Spin-Orbit Coupling Reading Ch. 15 of “Free Energy” pgs. 421-424 Friday Apr 05 2024 The Electromagnetic Spectrum The Electromagnetic Spectrum Reading Friday Apr 05 2024 Why Everything You Learned is a Lie The time-dependent Schrodinger equation and the Dirac equation. Monday Apr 08 2024 Spectroscopy: Rotation and Vibration Additional details on rotational and vibrational spectroscopies. Reading Wednesday Apr 10 2024 UV/Vis Spectroscopy and Molecular Orbitals Where do molecular orbitals come from? And the Franck-Condon principle. Reading Friday Apr 12 2024 Kinetics Pt. 2: Reaction Mechanisms Kinetics Pt. 2: Consecutive reactions and complex mechanisms. Reading Ch. 16 of “Free Energy” pgs. 440-444 Friday Apr 12 2024 Introduction to Kinetics First and second order kinetics- rate laws and rate expressions. Reading Ch. 16 of “Free Energy” pgs. 436-440 Monday Apr 15 2024 Kinetics: Consecutive Reactions and Equilibrium How kinetics can be used to describe a return to equilibrium. Reading Ch. 16 of “Free Energy” pgs. 444-450 Wednesday Apr 17 2024 Exam 3 Review Exam 3 Review Monday Apr 22 2024 Enzyme Kinetics Enzyme kinetics, specifically the Michaelis-Menten paradigm. Reading Ch. 16 of “Free Energy” pgs. 450-454 Wednesday Apr 24 2024 Summary of Physical Chemistry How to calculate thermodynamic properties starting from quantum mechanics. Friday Apr 26 2024 Final Exam Review Material from exams 1 & 2.
Monday Jan 08 2024 Introduction to Probability Distributions Introduction to Probability Distributions, also known as Probability Densities Reading Ch. 10 of Free Energy, pgs. 235-240
Wednesday Jan 10 2024 Introduction to the Maxwell-Boltzmann Distribution Introduction to the Maxwell-Boltzmann Distribution Reading Ch. 10 of Free Energy, pgs. 240-243
Friday Jan 12 2024 The Maxwell-Boltzmann Distribution of Velocity The Maxwell-Boltzmann Distribution of Velocity Reading Ch. 10 of Free Energy, pgs. 244-246
Friday Jan 12 2024 The Erf() Function and Integral Substitution of Variables Introduction to erf(), integral identities and substitution of variables. Reading Gaussian Integral Identities box on pg. 250 of Ch. 10, Free Energy
Wednesday Jan 17 2024 Velocities! The average velocity, most probable velocity, and average relative velocity Reading Ch. 10 of Free Energy, pgs. 246-251
Friday Jan 19 2024 Relative Velocity, Collision Frequency and Flux Collision Frequency and Flux Reading Ch. 10 of Free Energy, pgs. 251-257.
Friday Jan 19 2024 Transformation of variables in integrals via the Jacobian Transformation of variables via the Jacobian Reading Ch. 10 of Free Energy, pgs. 243- 245 and the Appendix
Monday Jan 22 2024 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. 266-269
Wednesday Jan 24 2024 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. 269-272
Friday Jan 26 2024 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. 273-276
Friday Jan 26 2024 Review of Boltzmann Statistics and Probability Distribution Function Engineering Examples on how to interpret the Boltzmann equation, and how to engineer probability distributions. Reading Review of Chapters 10 and 11 of “Free Energy”
Monday Jan 29 2024 Introduction to the Schrodinger Equation Introduction to the Schrodinger Equation Reading Ch. 11 pgs. 276-279, Ch. 12 of “Free Energy” pgs. 286-290
Wednesday Jan 31 2024 All About Wavefunctions All About Wavefunctions Reading Ch. 12 of “Free Energy” pgs. 290-296
Friday Feb 02 2024 Operators and Eigenvalue Equations Operators and Eigenvalue Equations Reading Ch. 12 of “Free Energy” pgs. 296-301
Friday Feb 02 2024 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. 274-279
Monday Feb 05 2024 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. 301-306
Monday Feb 12 2024 Freewaves and Barrier Potentials Bound vs. unbound states, the flux operator, and potential surfaces with barriers. Reading Ch. 12 of “Free Energy” pgs. 308-311 and Ch. 13 pgs. 314-317
Wednesday Feb 14 2024 Reflection off a Barrier and Tunneling Phenomena Reflection off a step potential barrier and tunneling through a finite barrier. Also examples of tunneling phenomena in organic and biochemistry. Reading Ch. 13 of “Free Energy” pgs. 318-320
Friday Feb 16 2024 Particle in an Infinite vs. Finite Box The particle in a box problem. Reading Ch. 13 of “Free Energy” pgs. 320-326
Monday Feb 19 2024 The Harmonic Oscillator Pt. I: Vibrational Wavefunctions Vibrational quantum mechanics, starting with the wavefunctions. Reading Ch. 13 of “Free Energy” pgs. 326-330
Wednesday Feb 21 2024 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. 326-330
Friday Feb 23 2024 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. 331-336
Monday Feb 26 2024 The Uncertainty Principle Pt. 2 How commutators determine the existence of uncertainty in quantum mechanics. Reading Ch. 13 of “Free Energy” pgs. 336-338
Wednesday Feb 28 2024 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. 362-367
Friday Mar 01 2024 The 2D Rigid Rotor More on 2D rigid rotor properties, the Hamiltonian, wavefunctions, and boundary conditions. Reading Ch. 14 of “Free Energy” pgs. 368-374
Friday Mar 01 2024 Rotation in 3D Rotation in 3D- Separability of the 3D kinetic energy operator. Reading Ch. 14 of “Free Energy” pgs. 374-378
Monday Mar 04 2024 3D Rigid Rotor Wavefunctions and Spin The spherical harmonic wavefunctions and introduction to spin angular momentum. Reading Ch. 14 of “Free Energy” pgs. 378-380
Monday Mar 11 2024 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. 396-400
Wednesday Mar 13 2024 Separability of the Hydrogen Atom Hamiltonian Pt. II The radial part of the hydrogen atom’s Hamiltonian. Reading Ch. 15 of “Free Energy” pgs. 400-403
Friday Mar 15 2024 Hydrogen Radial Wavefunctions The solution(s) to the radial Schrodinger Equation for the hydrogen atom. Reading Ch. 15 of “Free Energy” pgs. 404-408
Monday Mar 25 2024 Hydrogen P, D States and Spin-Orbit Interactions How to not let an atom rotate and the spectroscopic dipole operator. Reading Ch. 15 of “Free Energy” pgs. 408-411
Wednesday Mar 27 2024 Spectroscopy, Selection Rules Spectroscopy Selection Rules Reading Ch. 15 of “Free Energy” pgs. 412-414
Friday Mar 29 2024 Multielectron Atoms, Shielding and the Pauli Principle Multielectron Wavefunctions and the Pauli Principle Reading Ch. 15 of “Free Energy” pgs. 414-418
Friday Mar 29 2024 Quantum Matrix Mechanics How quantum calculations are performed with matrices to create molecular orbitals.
Monday Apr 01 2024 Spin States and the Exchange Interaction Singlet and Triplet States and the Exchange Interaction Reading Ch. 15 of “Free Energy” pgs. 418-421
Wednesday Apr 03 2024 Exchange, Magnetism and Spin-Orbit Coupling Shielding and Spin-Orbit Coupling Reading Ch. 15 of “Free Energy” pgs. 421-424
Friday Apr 05 2024 Why Everything You Learned is a Lie The time-dependent Schrodinger equation and the Dirac equation.
Monday Apr 08 2024 Spectroscopy: Rotation and Vibration Additional details on rotational and vibrational spectroscopies. Reading
Wednesday Apr 10 2024 UV/Vis Spectroscopy and Molecular Orbitals Where do molecular orbitals come from? And the Franck-Condon principle. Reading
Friday Apr 12 2024 Kinetics Pt. 2: Reaction Mechanisms Kinetics Pt. 2: Consecutive reactions and complex mechanisms. Reading Ch. 16 of “Free Energy” pgs. 440-444
Friday Apr 12 2024 Introduction to Kinetics First and second order kinetics- rate laws and rate expressions. Reading Ch. 16 of “Free Energy” pgs. 436-440
Monday Apr 15 2024 Kinetics: Consecutive Reactions and Equilibrium How kinetics can be used to describe a return to equilibrium. Reading Ch. 16 of “Free Energy” pgs. 444-450
Monday Apr 22 2024 Enzyme Kinetics Enzyme kinetics, specifically the Michaelis-Menten paradigm. Reading Ch. 16 of “Free Energy” pgs. 450-454
Wednesday Apr 24 2024 Summary of Physical Chemistry How to calculate thermodynamic properties starting from quantum mechanics.