Chem 131A: Quantum Principles

Video Lectures

Displaying all 28 video lectures.
Lecture 1
Introduction
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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
Particles, Waves, the Uncertainty Principle and Postulates
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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
More Postulates, Superposition, Operators and Measurement
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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
Complementarity, Quantum Encryption, Schrodinger Equation
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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
Model 1D Quantum Systems -
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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
Quantum Mechanical Tunneling
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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
Tunneling Microscopy and Vibrations
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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
More on Vibrations and Approximation Techniques
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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
Potentials + Quantization in Two Spatial Dimensions
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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
Particles on Rings and Spheres... A Prelude to Atoms
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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
Particle on a Sphere, Angular Momentum
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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
Spin, The Vector Model and Hydrogen Atoms
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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
Hydrogen Atoms: Radial Functions & Solutions
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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
Atomic Spectroscopy Selection Rules, Coupling, and Terms
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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
Hydrogen Wavefunctions, Quantum Numbers, Term Symbols
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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
Energy Level Diagrams, Spin-Orbit Coupling, Pauli Principle
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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
Approximation Methods: Variational Principle, Atomic Units
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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
The Hydride Ion (Continued): Two-Electron Systems
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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
The Hydride Ion (Try #3!) The Orbital Philosophy
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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
Hartree-Fock Calculations, Spin, and Slater Determinants
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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
Bigger Atoms, Hund's Rules and the Aufbau Principle
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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
The Born-Oppenheimer Approximation and H2+
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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
LCAO-MO Approximation Applied to H2+
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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
Molecular Orbital: The Virial Theorem in Action
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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
Optimizing H2+ Molecular Orbital, H2, & Config Interaction
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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
Qualitative MO Theory
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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
CH4 Molecular Orbitals and Delocalized Bonding
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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
What We've Covered: Course Summary
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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