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| Code: | Chem 131A |
| Subject: | Chemistry |
| Topic: | Quantum Mechanics |
| Views: | 47,369 |
Chem 131A: Quantum Principles
Video Lectures
Displaying all 28 video lectures.
Lecture 1 Play Video |
Introduction Recorded on January 6, 2014. Index of Topics: -0:28 General Course Information -0:40 Preliminaries -1:49 General Information -2:43 Grading -3:16 Textbook -3:49 Chapter 1 Introduction -5:31 Light -7:28 Newton's Rings -9:16 Blackbody Radiation -12:05 Quantization -15:21 A Comparison -15:53 The Connection -17:03 Physical Meaning -19:10 The Photoelectric Effect -28:59 Photon Momentum -29:53 An Application |
Lecture 2 Play Video |
Particles, Waves, the Uncertainty Principle and Postulates Recorded on January 14, 2014. Index of Topics: -0:20 Louis de Broglie -2:32 Where is the Particle? -4:10 The Uncertainty Principle -14:49 Waves -19:20 Practice Problem 4 -21:16 Wavefunctions -29:16 The Postulates of QM |
Lecture 3 Play Video |
More Postulates, Superposition, Operators and Measurement Recorded on January 14, 2014. Index of Topics: -0:19 The Postulates of QM -5:30 The Momentum Operator -7:21 Practice Problem 7 -8:17 Basis Functions -9:40 Measurement -13:44 Orthogonality -21:20 Measurement -28:50 Uncertainty -30:51 Complementarity -35:00 Classical Atoms -39:12 Wavefunctions and Orbitals -43:37 Confined Systems -45:49 The Position Operator |
Lecture 4 Play Video |
Complementarity, Quantum Encryption, Schrodinger Equation Recorded on January 17, 2014. Index of Topics: -0:12 Lecture 4 -0:20 Localized Wavefunctions -3:05 Localized Wavefunctions (II) -5:13 Localized Wavefunctions (III) -7:09 Localized Wavefunctions (IV) -8:23 Localized Wavefunctions (V) -9:46 Localized Wavefunctions (VI) -11:30 Fourier Series -13:21 Quantum Cryptography -16:18 Quantum Cryptography (II) -18:03 Quantum Cryptography (III) -22:29 Quantum Cryptography (IV) -24:06 Quantum Cryptography (V) -28:32 Time Evolution -32:23 Time Evolution (II) -34:59 Time Evolution (III) -37:16 Time Evolution (IV) -41:06 Time Evolution (V) -42:29 Time Evolution (VI) -44:30 Time Evolution (VII) -45:46 Time Evolution (VIII) -47:22 A Free Particle -48:27 A Free Particle (II) -49:16 A Free Particle (III) -49:57 A Free Particle (IV) -50:44 A Free Particle (V) |
Lecture 5 Play Video |
Model 1D Quantum Systems - "The Particle In a Box" Recorded on January 22, 2014. Index of Topics: -0:12 Lecture 5 -0:20 The Box -1:39 The Box (II) -2:41 The Box (III) -4:29 The Wavefunction -5:10 The Wavefunction (II) -7:05 Euler's Formula -8:47 Euler's Formula (II) -10:17 Euler's Formula (III) -12:06 The Wavefunction -14:05 The Wavefunction (II) -14:48 The Wavefunction (III) -16:56 The Wavefunction (IV) -19:22 Normalization -20:52 Practice Problem 9 -21:24 Practice Problem 9 (II) -22:27 Practice Problem 9 (III) -23:54 Practice Problem 9 (IV) -24:37 Practice Problem 9 (V) -26:31 Practice Problem 9 (VI) -27:41 Practice Problem 9 (VII) -28:27 Interpretation -29:18 Interpretation (II) -31:50 Expectation Values -33:15 Expectation Values (II) -34:19 Expectation Values (III) -36:45 Expectation Values (IV) -37:52 Expectation Values (V) -38:27 Expectation Values (VI) -42:02 Expectation Values (VII) -43:08 Expectation Values (VIII) -45:59 Excited States -47:39 Wavefunction Plots |
Lecture 6 Play Video |
Quantum Mechanical Tunneling Recorded on January 23, 2014. Index of Topics: -0:22 Lecture 6 -0:42 Tunneling -3:13 Tunneling (II) -5:27 TUnneling (III) -7:13 Tunneling (IV) -9:30 Tunneling (V) -12:06 Tunneling (VI) -15:03 Tunneling (VII) -17:27 Tunneling (VIII) -20:07 Tunneling (IX) -24:18 Tunneling (X) -25:43 Tunneling (XI) -28:19 Tunneling (XII) -29:42 Barrier Penetration -30:57 Tunneling -32:23 Tunneling (II) -33:26 Tunneling (III) -35:51 Tunneling (IV) -36:31 Tunneling (V) -37:34 Tunneling (VI) -39:15 Tunneling (VII) -41:08 Tunneling (VIII) -43:01 Tunneling (IX) -44:34 Interpretation |
Lecture 7 Play Video |
Tunneling Microscopy and Vibrations Recorded on January 23, 2014. Index of Topics: 1:20 Application 3:27 STM 19:19 Vibrations 46:33 Zero-Point Energy 49:19 Isotope Effects |
Lecture 8 Play Video |
More on Vibrations and Approximation Techniques Recorded on January 27, 2014. Index of Topics: 1:23 Vibrational Energy Levels 19:35 Properties of Oscillators 26:43 Perturbation Theory 40:38 Introducing Lambda 42:42 Correcting the Energy 44:35 First Order Energy Correction 49:09 Comments 50:47 An Example 51:19 A Simple Example 52:05 Practice Problem 10 |
Lecture 9 Play Video |
Potentials + Quantization in Two Spatial Dimensions Recorded on January 30, 2014. Index of Topics: -0:04 Lecture 9 -1:02 Odd, or Antisymmetric, Functions -2:40 Odd, or Antisymmetric, Functions (II) -4:20 A More Realistic Potential -5:57 The Morse Potential -7:12 The Morse Potential (II) -8:30 The Morse Potential (III) -9:37 The Morse Potential (IV) -11:42 The Morse Potential (V) -14:18 Applications -18:05 The 6-12 Potential -22:55 The 6-12 Potential (II) -24:02 The 6-12 Potential (III) -27:28 Quantum Systems in 2D and 3D -28:41 Particle in a 2D Box -29:51 Particle in a 2D Box (II) -33:40 Particle in a 2D Box (III) -35:23 Separating Variables -37:17 Separating Variables (II) -38:52 Final Solution -39:49 Quantum Dots -42:40 Degeneracy -43:52 Practice Problem 12 -44:40 Symmetry -45:33 Symmetry (II) -46:47 Symmetry (III) -47:55 Breaking Symmetry |
Lecture 10 Play Video |
Particles on Rings and Spheres... A Prelude to Atoms Recorded on January 30, 2014. Index of Topics: -2:23 Particle on a Ring -16:49 Quantization -23:39 Interpretation -24:23 Preparation for Atoms -27:16 Spherical Polar Coordinates -29:41 Practice Problem 13 -31:18 Particle on a Sphere -33:03 The Legendrian -33:26 The Angular Equation -35:06 Spherical Polar Coordinates -36:59 Practice Problem 14 |
Lecture 11 Play Video |
Particle on a Sphere, Angular Momentum Recorded on February 3, 2014. Index of Topics: 0:32 Our Separated Equations 1:47 The Solution in Phi 3:10 The Solution in Theta 24:11 Energy Quantization 30:41 The Spherical Harmonics 33:26 Transitions 37:20 Spin 42:21 Stern-Gerlach Experiment 43:38 Electric Dipole Analogy 45:48 Silver 47:14 Stern-Gerlach Experiment 48:11 Electron Spin |
Lecture 12 Play Video |
Spin, The Vector Model and Hydrogen Atoms Recorded on February 6, 2014. Index of Topics: -0:22 Spin -2:56 The Vector Model -8:42 Uncertainty Again -11:06 The Commutator -22:25 Wavenumbers -29:45 Atomic Spectroscopy -34:34 The Hamiltonian Wavefunction -36:12 The Wavefunction -39:27 Separation of Variables -41:41 The Hamiltonian -42:52 Separation of Variables -45:43 Practice Problem 15 |
Lecture 13 Play Video |
Hydrogen Atoms: Radial Functions & Solutions Recorded on February 6, 2014. Index of Topics: 0:57 The Radial Functions 7:12 The Rydberg Constant 8:24 Practice Problem 16 13:39 The Bohr Radius 15:07 Some Observations 22:54 Notation 26:55 The Wavefunctions 31:59 Radial Nodes 33:58 Radial Distribution Functions 36:44 Integrating Wavefunctions 37:29 Practice Problem 17 43:11 Interpretation |
Lecture 14 Play Video |
Atomic Spectroscopy Selection Rules, Coupling, and Terms Recorded on February 10, 2014. Index of Topics: 0:41 Atomic Spectroscopy 9:08 Emission Spectra 10:59 Practice Problem 18 21:41 Coupling Schemes 26:17 LS Coupling 29:42 Adding Angular Momenta 31:47 Vector Model For Coupling 38:40 Symmetry Considerations 41:48 LS Coupling 44:28 Term Symbols 46:10 Sodium Emission 47:23 Terms 50:32 Selection Rules |
Lecture 15 Play Video |
Hydrogen Wavefunctions, Quantum Numbers, Term Symbols Recorded on February 13, 2014. Index of Topics: 0:21 Quantum Numbers 2:40 Configurations 4:32 Term Symbols 6:14 Terms 7:26 Practice Problem 20 12:02 Holes and Electrons 13:47 Shapes of H Wavefunctions 17:39 Hydrogen Orbitals 18:41 Nodes 19:41 Angular Nodes 21:20 Another View 23:05 Spin-Orbit Coupling 24:09 Internal Magnetic Field 26:05 Internal Field 27:20 Practice Problem 21 32:23 Other Alkali Metals 37:22 Cesium 38:43 Practice Problem 22 |
Lecture 16 Play Video |
Energy Level Diagrams, Spin-Orbit Coupling, Pauli Principle Recorded on February 13, 2014. Index of Topics: 0:51 Cesium 1:27 Practice Problem 22 19:37 Another Look At Spin-Orbit Coupling 23:42 The Energy Shift 25:00 Two-Electron Atoms 30:29 The Orbital Approximation 34:28 Two-Electron Atoms 37:06 The Pauli Principle 41:31 Spin and Space -43:29 Spin |
Lecture 17 Play Video |
Approximation Methods: Variational Principle, Atomic Units Recorded on February 18, 2014. Index of Topics: 0:55 Symmetry 2:23 Orthogonality 5:53 The Variational Principle 23:17 Atomic Units 31:31 Practice Problem 23 34:25 Notation 37:29 Hydride Anion, Try #1 |
Lecture 18 Play Video |
The Hydride Ion (Continued): Two-Electron Systems Recorded on February 21, 2014. Index of Topics: 0:53 Where We Left Off 2:06 Figuring r12 3:55 Law of Cosines 7:58 First-Order Correction 9:11 The theta Integral 12:56 The Rest of the Integrals 14:43 The Integral Over r2 17:42 What's the Energy? 19:56 Stability of Hydride 24:37 Improving Our Estimate 30:19 Evaluating the Energy 37:09 The Repulsion Term 40:34 Practice Problem 24 43:59 The Helium Atom |
Lecture 19 Play Video |
The Hydride Ion (Try #3!) The Orbital Philosophy Recorded on February 24, 2014. Index of Topics: 0:38 Hydride Try #3 28:30 Energy Contour Plot 31:42 Success! 34:38 Further Improvement 42:20 The Orbital Approximation 49:42 Hartree-Fock Approach |
Lecture 20 Play Video |
Hartree-Fock Calculations, Spin, and Slater Determinants Recorded on February 27, 2014. Index of Topics: 0:19 Where We Left Off 1:26 Hartree-Fock Approach 18:58 Correlation 26:27 Taking Spin Into Account 35:05 Practice Problem 25 38:12 Taking Spin Into Account 39:59 The Slater Determinant 49:27 Slater Determinants 50:11 Practice Problem 25 |
Lecture 21 Play Video |
Bigger Atoms, Hund's Rules and the Aufbau Principle Recorded on February 27, 2014. Index of Topics: 1:22 Closed Shell Atoms 5:12 The Energy of an Atom 7:20 One and Two-Electron Integrals 8:47 Fock's Contribution 13:40 Optimized Orbitals Are Online 14:57 Who Was Roothaan? 18:48 Optimized Orbitals Are Online 22:17 The Most Stable Atom 24:45 Hund's Rules 29:22 The Basis of Rule #1 32:31 The Basis of Rule #2 33:54 The Basis of Rule #3 36:08 Predicting Stability 37:31 Practice Problem 27 39:02 The Aufbau Principle 43:29 The Periodic Table 45:20 A Cautionary Note 48:17 "Fission!" 50:09 Chemical Bonds |
Lecture 22 Play Video |
The Born-Oppenheimer Approximation and H2+ Recorded on March 03, 2014. Index of Topics: 1:03 The Born-Oppenheimer Approximation 4:09 Notation 6:14 Born-Oppenheimer Approximation 7:55 The Wavefunction Factorizes 9:52 The Electronic Hamiltonian 11:06 Potential Surfaces 12:43 H2+ 22:43 Variational Approach For H2+ 28:39 Matrix Elements 32:06 The Energy Functional 34:13 Applying the Variational Principle 41:04 Back to H2+ 42:28 Practice Problem 28 |
Lecture 23 Play Video |
LCAO-MO Approximation Applied to H2+ Recorded on March 06, 2014. Index of Topics: 1:06 LCAO-MO Approximation 2:30 H2+ 3:22 Variational Energies 4:49 Matrix Elements 7:18 The Center Term 12:22 The First Matrix Element 14:44 The Overlap Integral 25:41 The Hab Matrix Element 33:50 Is H2+ Stable? |
Lecture 24 Play Video |
Molecular Orbital: The Virial Theorem in Action Recorded on March 06, 2014. Index of Topics: 1:11 Comparing the Results 4:04 H2+ Molecular Orbitals 5:32 The Coefficients 6:58 Normalization 9:00 The Orbitals Are Different 14:22 The Virial Theorem 18:43 Practice Problem 29 28:27 Checking Our MO 34:15 Making a Long Story Short 37:01 Optimizing the Energy 40:57 What Does It Mean? 42:22 What Functions Will Improve Things? |
Lecture 25 Play Video |
Optimizing H2+ Molecular Orbital, H2, & Config Interaction Recorded on March 17, 2014. Index of Topics: 1:07 Where We Were 3:28 Polarization 12:33 H2 15:50 Molecular Orbitals for H2 18:24 The Potential Energy Curve 20:19 The LCAO-MO Problem 27:01 The Asymptotic Value 28:14 The Asymptotic Energy 30:29 Problem Explained 31:50 The Valence Bond Approach 33:51 Optimizing Our Wavefunction 35:16 Problem Solved 40:28 Wrapping Up H2 41:50 A Qualitative Picture 45:53 Bond Order 47:28 Comparing H2+ Through He2 |
Lecture 26 Play Video |
Qualitative MO Theory Recorded on March 20, 2014. Index of Topics: 0:29 MO Diagrams 3:36 Qualitative Guidlines 5:36 Practice Problem 30 10:08 Homonuclear Diatomics 18:13 Bond Order Matches Intuition 19:59 Molecular Oxygen 24:09 Singlet Oxygen 26:24 Molecular Nitrogen 29:42 Photoelectron Spectroscopy 35:53 Hybrid Orbitals 45:13 Making Bonds 48:24 Normalizing the Hybrids 49:11 Normalized Hybrids 50:09 Other Hybrid Combinations |
Lecture 27 Play Video |
CH4 Molecular Orbitals and Delocalized Bonding Recorded on March 20, 2014. Index of Topics: 1:38 MO Picture for CH4 3:21 Our Coordinate System 3:59 The First Bonding MO 9:07 CH4 MO Diagram 10:26 Visualizing Methane MOs 13:53 CH4 PES 18:52 Delocalization 21:45 Ethylene 34:02 Benzene 42:04 Cyclobutadiene 43:44 Aromaticity 44:34 Practice Problem 31 |
Lecture 28 Play Video |
What We've Covered: Course Summary Recorded on April 07, 2014. Index of Topics: 0:29 What We've Covered 2:11 Early Experiments 5:11 Matter and Radiation 7:33 Postulates of Quantum Mechanics 10:11 Measurement 12:11 Uncertainty 13:36 Time Evolution 15:37 Bound States 17:56 Tunneling 19:49 Unbound States 21:06 Approximate Solutions 24:28 Spectroscopy 26:19 Atomic Structure 33:05 Pauli Principle 34:11 Molecules 36:29 Molecular Orbitals 38:14 MO Diagrams 42:25 Chemical Bonds 43:17 Dissociation 45:04 Delocalized Systems 47:58 Summary |
