Chemistry I - Introduction to Quantum Chemistry and Molecular Spectroscopy

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Chemistry I: Introduction to Quantum Chemistry and Molecular Spectroscopy. Instructor: Prof. Mangala Sunder Krishnan, Department of Chemistry, IIT Madras.

This course is meant to be introductory and points out the underlying mathematical framework in all of physical sciences. It is a must for all areas of chemistry where atomistic level explanations are needed for understanding concepts. Thus, spectroscopy, chemical reaction dynamics, statistical thermodynamics, molecular properties and molecular structure determination are all areas for which an understanding of the principles of quantum chemistry and spectroscopy are a must.

Syllabus

Lecture 01 Welcome.
Lecture 02 - Bohr's atom, De Broglie Matter Waves and Schrodinger equation.
Lecture 03 Electromagnetic Radiation.
Lecture 04 Interaction of Radiation with Matter.
Lecture 05 Molecular Spectroscopy.
Lecture 06 Elementary Mathematical Functions 1.
Lecture 07 Review of Properties of Elementary Functions II.
Lecture 08 - Time Dependent Schrödinger Equation & Time Independent Schrödinger Equation.
Lecture 09 - Schrödinger Equation Particle in a One-dimensional Box : Part I.
Lecture 10 - Schrödinger Equation Particle in a One-dimensional Box : Part II.
Lecture 11 - Schrödinger Equation Particle in Two-dimensional Box : Part I.
Lecture 12 - Particle in Two-dimensional Box : Part II Uncertainty Principle.
Lecture 13 - Particle in Two-dimensional Box : Part III Expectation Values.
Lecture 14 - The Quantum Mechanics of Hydrogen Atom - Part I.
Lecture 15 - The Quantum Mechanics of Hydrogen Atom - Part II.
Lecture 16 - The Quantum Mechanics of Hydrogen Atom - Part III.
Lecture 17 - The Quantum Mechanics of Hydrogen Atom - Part IV.
Lecture 18 - The Quantum Mechanics of Hydrogen Atom - Part V.
Lecture 20 Harmonic Oscillator Model - Part I.
Lecture 21 Harmonic Oscillator Model - Part II.
Lecture 22 Harmonic Oscillator Model - Part III.
Lecture 24 Particle on a Ring - Part I.
Lecture 23 Harmonic Oscillator Model - Part IV.
Lecture 25 Particle on a Ring - Part II.
Lecture 19A - Assignment 1 Solution/Hints.
Lecture 19C _ Assignment 1 Solution/Hints.
Lecture 19D - Assignment 1 Solution/Hints.
Lecture 19B - Assignment 1 Solution/Hints.
Lecture 19E - Assignment 1 Solution/Hints.
Lecture 26 - Heisenberg’s Uncertainty Relation.
Lecture 27A - Operators, Commutators, Eigenvalues and Eigenvectors.
Lecture 27B - Operators, Commutators, Eigenvalues and Eigenvectors.
Lecture 28 - Introduction to Chemical Applications.
Lecture 29 - Radiation Densities and Einstein’s Semiclassical model.
Lecture 30 - Born Oppenheimer Approximation.
Lecture 31 - Beer Lambert Law.
Lecture 32 - Diatomic Vibrational Spectra Harmonic Model.
Lecture 33 - Diatomic Vibration Morse Oscillator Model.
Lecture 34 - Molecular Vibrations in Polyatomic Molecules - Qualitative Account.
Lecture 35 - Polyatomic Vibrations - Illustrative examples of normal vibrations.