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Course10410609659 lectures

Chemistry: Atomic Structure and Chemical Bonding

Prof. K. Mangala Sundar · IIT Madras

Start with lecture 1 At NPTEL

Lectures

Week 1

  1. Lecture 1: Welcome Video
  2. Lecture 2: Elementary Mathematical Functions Used in Our Course Video
  3. Lecture 3: Schrodinger Equation: Particle in a One Dimensional Box Video
  4. Lecture 4: Particle in a One dimensional Box: Probabilities and Expectation Values Video
  5. Lecture 5: Elementary Mathematics: Introduction to Matrix Algebra - Part 1 Video
  6. Lecture 5: Elementary Mathematics: Introduction to Matrix Algebra - Part 2 Video

Week 2

  1. Lecture 6: Elementary Mathematics: Matrix Eigenvalues and Eigenfunctions: Part I Video
  2. Lecture 7: Elementary Mathematics: Matrix Eigenvalues and Eigenfunctions: Part II Video
  3. Lecture 8: Particle in a Two Dimensional Box (Infinite Barrier) Video
  4. Lecture 9: Heisenberg's Uncertainty Principle Video
  5. Lecture 10: Expectation Values and Postulates in Quantum Mechanics Video
  6. Lecture 11: Problems and Solutions for Particle in One and Two Dimensional Boxes Video

Week 3

  1. Lecture 12: Linear Vector Spaces: Matrix Representations Video
  2. Lecture 13: Linear Vector Spaces and Operators: Dirac's Bracket Notation Video
  3. Lecture 14: Simple Harmonic Oscillator: Classical Hamiltonian Video
  4. Lecture 15: Simple Harmonic Oscillator: Quantum Mechanical Solutions Video
  5. Lecture 16: Simple Harmonic Oscillator: Wave Functions, Probabilities and Average Values Video
  6. Lecture 17: Simple Harmonic Oscillator: Average Values for Position and Momentum Video

Week 4

  1. Lecture 18: Particle on a Ring: The Quantum Model Video
  2. Lecture 19: Particle on a Ring: Expectation Values for Angular Momentum Video
  3. Lecture 20: Coordinate Transformation Video
  4. Lecture 21: Problems and Solutions for Harmonic Oscillator Video

Week 5

  1. Lecture 22 - Hydrogen Atom: The Hamiltonian in Spherical Polar Coordinates Video
  2. Lecture 23 - Hydrogen Atom: Separation of the Schrödinger Equation Video
  3. Lecture 24 - Hydrogen Atom: Radial and Angular Solutions and Animations Part I Video
  4. Lecture 25 - Hydrogen Atom: Radial and Angular Solutions and Animations Part II Video
  5. Lecture 26 - Hydrogen Atom: Radial Solutions and Probabilities Video
  6. Lecture 27 - Power Series Method for Differential Equation - I Video

Week 6

  1. Lecture 28 - Hermite's Differential Equation Video
  2. Lecture 29 - Legendre and Associated Legendre Equation Video
  3. Lecture 30 - Born-Oppenheimer Approximation Video

Week 7

  1. Lecture 31 - Introduction to Angular Momentum Video
  2. Lecture 32 - Spin ½ Angular Momentum Video
  3. Lecture 33 - Spin Angular Momentum and Coupling of Two Spin-1/2 Angular Momenta Video
  4. Lecture 34 - Coupling of Two Angular Momenta Video

Week 8

  1. Lecture 35 - Video Tutorial for Hermite polynomials and hydrogen atom Part 1 Video
  2. Lecture 36 - Video Tutorials Part 2 Video
  3. Lecture 37 - Variational Principle in Quantum Chemistry: Linear superposition Principle Video
  4. Lecture 38 - Introduction to Variational Principle in Quantum Chemistry Video
  5. Lecture 39 - Variational Method: Method of Lagrange Multipliers Video

Week 9

  1. Lecture 40 - Hydrogen Molecule Ion: The Molecular Orbital Method Video
  2. Lecture 41 - Hydrogen Molecule Ion: Calculations and Results Video
  3. Lecture 42 - Hydrogen Molecule: The Valence Bond Method Video
  4. Lecture 43 - Hydrogen Molecule: Calculations and Molecular Orbital Method Video

Week 10

  1. Lecture 44: Video Tutorials on Angular Momentum (Orbital and Spin) and Variational Method Part 1 Video
  2. Lecture 45: Video Tutorials on Angular Momentum (Orbital and Spin) and Variational Method Part 2 Video
  3. Lecture 46: Introduction to Quantum Mechanical Perturbation Theory Video
  4. Lecture 47: First Order Time Independent perturbation Theory for Non-Degenerate states Video
  5. Lecture 48: First and Second Order Time Independent Perturbation Theory for Non-Degenerate States Video

Week 11

  1. Lecture 49: First and Second Order Time Independent Perturbation Theory: Simple Examples Video
  2. Lecture 50: Time Independent Perturbation Theory for Degenerate States: First Order Video

Week 12

  1. Lecture 51: General MO method for Homonuclear Diatomic Molecules Video
  2. Lecture 52: General MO method for Heteronuclear Diatomic Molecules Video
  3. Lecture 53: Introduction to Hybridization and Valence Bond for Polyatomic Molecules Video
  4. Lecture 54: HÜckel Molecular Orbital Theory I Video
  5. Lecture 55: HÜckel Molecular Orbital Theory II Video

Live Session

  1. Live Session 14-02-2022 Video
  2. Live Session 25-02-2022 Video
  3. Live Session 04-08-2022 Video

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.
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