Course10410609659 lectures
Chemistry: Atomic Structure and Chemical Bonding
Prof. K. Mangala Sundar · IIT Madras
Lectures
Week 1
- Lecture 1: Welcome
- Lecture 2: Elementary Mathematical Functions Used in Our Course
- Lecture 3: Schrodinger Equation: Particle in a One Dimensional Box
- Lecture 4: Particle in a One dimensional Box: Probabilities and Expectation Values
- Lecture 5: Elementary Mathematics: Introduction to Matrix Algebra - Part 1
- Lecture 5: Elementary Mathematics: Introduction to Matrix Algebra - Part 2
Week 2
- Lecture 6: Elementary Mathematics: Matrix Eigenvalues and Eigenfunctions: Part I
- Lecture 7: Elementary Mathematics: Matrix Eigenvalues and Eigenfunctions: Part II
- Lecture 8: Particle in a Two Dimensional Box (Infinite Barrier)
- Lecture 9: Heisenberg's Uncertainty Principle
- Lecture 10: Expectation Values and Postulates in Quantum Mechanics
- Lecture 11: Problems and Solutions for Particle in One and Two Dimensional Boxes
Week 3
- Lecture 12: Linear Vector Spaces: Matrix Representations
- Lecture 13: Linear Vector Spaces and Operators: Dirac's Bracket Notation
- Lecture 14: Simple Harmonic Oscillator: Classical Hamiltonian
- Lecture 15: Simple Harmonic Oscillator: Quantum Mechanical Solutions
- Lecture 16: Simple Harmonic Oscillator: Wave Functions, Probabilities and Average Values
- Lecture 17: Simple Harmonic Oscillator: Average Values for Position and Momentum
Week 4
- Lecture 18: Particle on a Ring: The Quantum Model
- Lecture 19: Particle on a Ring: Expectation Values for Angular Momentum
- Lecture 20: Coordinate Transformation
- Lecture 21: Problems and Solutions for Harmonic Oscillator
Week 5
- Lecture 22 - Hydrogen Atom: The Hamiltonian in Spherical Polar Coordinates
- Lecture 23 - Hydrogen Atom: Separation of the Schrödinger Equation
- Lecture 24 - Hydrogen Atom: Radial and Angular Solutions and Animations Part I
- Lecture 25 - Hydrogen Atom: Radial and Angular Solutions and Animations Part II
- Lecture 26 - Hydrogen Atom: Radial Solutions and Probabilities
- Lecture 27 - Power Series Method for Differential Equation - I
Week 6
- Lecture 28 - Hermite's Differential Equation
- Lecture 29 - Legendre and Associated Legendre Equation
- Lecture 30 - Born-Oppenheimer Approximation
Week 7
- Lecture 31 - Introduction to Angular Momentum
- Lecture 32 - Spin ½ Angular Momentum
- Lecture 33 - Spin Angular Momentum and Coupling of Two Spin-1/2 Angular Momenta
- Lecture 34 - Coupling of Two Angular Momenta
Week 8
- Lecture 35 - Video Tutorial for Hermite polynomials and hydrogen atom Part 1
- Lecture 36 - Video Tutorials Part 2
- Lecture 37 - Variational Principle in Quantum Chemistry: Linear superposition Principle
- Lecture 38 - Introduction to Variational Principle in Quantum Chemistry
- Lecture 39 - Variational Method: Method of Lagrange Multipliers
Week 9
- Lecture 40 - Hydrogen Molecule Ion: The Molecular Orbital Method
- Lecture 41 - Hydrogen Molecule Ion: Calculations and Results
- Lecture 42 - Hydrogen Molecule: The Valence Bond Method
- Lecture 43 - Hydrogen Molecule: Calculations and Molecular Orbital Method
Week 10
- Lecture 44: Video Tutorials on Angular Momentum (Orbital and Spin) and Variational Method Part 1
- Lecture 45: Video Tutorials on Angular Momentum (Orbital and Spin) and Variational Method Part 2
- Lecture 46: Introduction to Quantum Mechanical Perturbation Theory
- Lecture 47: First Order Time Independent perturbation Theory for Non-Degenerate states
- Lecture 48: First and Second Order Time Independent Perturbation Theory for Non-Degenerate States
Week 11
- Lecture 49: First and Second Order Time Independent Perturbation Theory: Simple Examples
- Lecture 50: Time Independent Perturbation Theory for Degenerate States: First Order
Week 12
- Lecture 51: General MO method for Homonuclear Diatomic Molecules
- Lecture 52: General MO method for Heteronuclear Diatomic Molecules
- Lecture 53: Introduction to Hybridization and Valence Bond for Polyatomic Molecules
- Lecture 54: HÜckel Molecular Orbital Theory I
- Lecture 55: HÜckel Molecular Orbital Theory II
Live Session
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT Madras
- Department
- Chemistry and Biochemistry
- Teacher
- Prof. K. Mangala Sundar
- Level
- Undergraduate
- Language
- English
- Subjects
- Chemistry
- Source
- NPTEL
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- NPTEL gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed
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