Introductory Quantum Chemistry (Prof. K. L. Sebastian, IISc Bangalore) | Chemistry and Chemical Engineering

Introductory Quantum Chemistry

Introductory Quantum Chemistry. Instructor: Prof. K. L. Sebastian, Department of Inorganic and Physical Chemistry, IISc Bangalore. The course will introduce quantum mechanics as applied to chemistry and would be structured such that B.Sc. students can follow, provided they have familiarity with differential equations. Topics covered in this course include Introduction to quantum mechanics, Postulates of quantum mechanics, Particle in a box, Quantum tunneling, Harmonic oscillator, Hydrogen atom, Uncertainty principle, Angular momentum, and Chemical bonding. (from nptel.ac.in)

Wave Particle Duality

Introduction

Lecture 01 - Wave Particle Duality

Lecture 02 - Standing Waves

Lecture 03 - Path Integrals and Schrodinger Equation

Lecture 04 - Postulates of Quantum Mechanics, Part I

Lecture 05 - Postulates of Quantum Mechanics, Part II

Lecture 06 - Postulates of Quantum Mechanics, Part III

Simple Applications

Lecture 07 - Separating Variables and Particle in a Box

Lecture 08 - Particle in a Box (cont.)

Lecture 09 - Particle in a Box (cont.)

Lecture 10 - Particle in a Box: Time Dependent States, Expectation Values and Time Dependent States

Lecture 11 - Particle in a 3-dimensional Box

Lecture 12 - Particle in a Well of Finite Depth

Lecture 13 - Finite Well: Delta and Step Functions

Lecture 14 - Finite Well (cont.)

Tunneling and Harmonic Oscillator

Lecture 15 - Quantum Tunnelling

Lecture 16 - Tunnelling (cont.)

Lecture 17 - Schrodinger Equation for the Harmonic Oscillator

Lecture 18 - Harmonic Oscillator - The Series Solution

Lecture 19 - Harmonic Oscillator - Generating Function

Lecture 20 - Harmonic Oscillator - Orthogonality of Eigenfunctions

The Hydrogen Atom

Lecture 21 - Hydrogen Atom: Separating Centre of Mass Motion and Internal Motion

Lecture 22 - Hydrogen Atom: Polar Coordinates

Lecture 23 - Hydrogen Atom: Separating Centre of Variables

Lecture 24 - Hydrogen Atom: Finding the Functions Θ(θ) and Φ(φ)

Lecture 25 - Finding R(r)

Lecture 26 - Atomic Orbitals 1

Lecture 27 - Atomic Orbitals 2

Lecture 28 - Atomic Orbitals 3

Lecture 29 - Atomic Orbitals (cont.), Hermitian Operators

Uncertainty Principle, Angular Momentum

Lecture 30 - Measurement, Uncertainty Principle

Lecture 31 - Generalized Uncertainty Principle

Lecture 32 - Generalized Uncertainty Principle (cont.)

Lecture 33 - Angular Momentum

Lecture 34 - Angular Momentum (cont.)

Lecture 35 - Angular Momentum (cont.), Spin

Approximation Methods, Spin and Pauli Principle

Lecture 36 - Perturbation Theory

Lecture 37 - Perturbation Theory (cont.)

Lecture 38 - Variation Method: Introduction

Lecture 39 - Variation Method: Proof and Illustration

Lecture 40 - He Atom Wave Function with Spin Included - Pauli Principle

Chemical Bonding

Lecture 41 - Hydrogen Molecular Ion - Linear Variation Method

Lecture 42 - Hydrogen Molecular Ion (cont.)

Lecture 43 - Hydrogen Molecular Ion (cont.)

Lecture 44 - Molecular Orbitals, The Hydrogen Molecule

Lecture 45 - Molecular Orbital and Valence Bond Theory

Lecture 46 - Molecular Orbital Theory of Diatoms

Lecture 47 - Diatomics

Lecture 48 - Hybridization Huckel Theory

Lecture 49 - Huckel MO Theory (cont.)

References

Introductory Quantum Chemistry
Instructor: Prof. K. L. Sebastian, Department of Inorganic and Physical Chemistry, IISc Bangalore. The course will introduce quantum mechanics as applied to chemistry.