NPTEL : NOC:Chemistry: Atomic Structure and Chemical Bonding (Chemistry and Biochemistry)

Co-ordinators : Prof. K. Mangala Sunder


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 6 - Elementary Mathematics: Introduction to Matrix Algebra - Part 2

Lecture 7 - Elementary Mathematics: Matrix Eigenvalues and Eigenfunctions - Part I

Lecture 8 - Elementary Mathematics: Matrix Eigenvalues and Eigenfunctions - Part II

Lecture 9 - Particle in a Two Dimensional Box (Infinite Barrier)

Lecture 10 - Heisenberg’s Uncertainty Principle

Lecture 11 - Expectation Values and Postulates in Quantum Mechanics

Lecture 12 - Problems and Solutions for Particle in One and Two Dimensional Boxes

Lecture 13 - Linear Vector Spaces: Matrix Representations

Lecture 14 - Linear Vector Spaces and Operators: Dirac’s Bracket Notation

Lecture 15 - Simple Harmonic Oscillator: Classical Hamiltonian

Lecture 16 - Simple Harmonic Oscillator: Quantum Mechanical Solutions

Lecture 17 - Simple Harmonic Oscillator: Wave Functions, Probabilities and Average Values

Lecture 18 - Simple Harmonic Oscillator: Average Values for Position and Momentum

Lecture 19 - Particle on a Ring: The Quantum Model

Lecture 20 - Particle on a Ring: Expectation Values for Angular Momentum

Lecture 21 - Coordinate Transformation

Lecture 22 - Problems and Solutions for Harmonic Oscillator

Lecture 23 - Hydrogen Atom: The Hamiltonian in Spherical Polar Coordinates

Lecture 24 - Hydrogen Atom: Separation of the Schrödinger Equation

Lecture 25 - Hydrogen Atom: Radial and Angular Solutions and Animations - Part I

Lecture 26 - Hydrogen Atom: Radial and Angular Solutions and Animations - Part II

Lecture 27 - Hydrogen Atom: Radial Solutions and Probabilities

Lecture 28 - Power Series Method for Differential Equation - I

Lecture 29 - Hermite’s Differential Equation

Lecture 30 - Legendre and Associated Legendre Equation

Lecture 31 - Born-Oppenheimer Approximation

Lecture 32 - Introduction to Angular Momentum

Lecture 33 - Spin ½ Angular Momentum

Lecture 34 - Spin Angular Momentum and Coupling of Two Spin-1/2 Angular Momenta

Lecture 35 - Coupling of Two Angular Momenta

Lecture 36 - Video Tutorial for Hermite polynomials and hydrogen atom - Part 1

Lecture 37 - Video Tutorials - Part 2

Lecture 38 - Variational Principle in Quantum Chemistry: Linear superposition Principle

Lecture 39 - Introduction to Variational Principle in Quantum Chemistry

Lecture 40 - Variational Method: Method of Lagrange Multipliers

Lecture 41 - Hydrogen Molecule Ion: The Molecular Orbital Method

Lecture 42 - Hydrogen Molecule Ion: Calculations and Results

Lecture 43 - Hydrogen Molecule: The Valence Bond Method

Lecture 44 - Hydrogen Molecule: Calculations and Molecular Orbital Method

Lecture 45 - Video Tutorials on Angular Momentum (Orbital and Spin) and Variational Method - Part 1

Lecture 46 - Video Tutorials on Angular Momentum (Orbital and Spin) and Variational Method - Part 2

Lecture 47 - Introduction to Quantum Mechanical Perturbation Theory

Lecture 48 - First Order Time Independent perturbation Theory for Non-Degenerate states

Lecture 49 - First and Second Order Time Independent Perturbation Theory for Non-Degenerate States

Lecture 50 - First and Second Order Time Independent Perturbation Theory: Simple Examples

Lecture 51 - Time Independent Perturbation Theory for Degenerate States: First Order

Lecture 52 - General MO method for Homonuclear Diatomic Molecules

Lecture 53 - General MO method for Heteronuclear Diatomic Molecules

Lecture 54 - Introduction to Hybridization and Valence Bond for Polyatomic Molecules

Lecture 55 - HÜckel Molecular Orbital Theory - I

Lecture 56 - HÜckel Molecular Orbital Theory - II