Introductory Quantum Chemistry

Overview

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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.

Syllabus

Mod-01 Lec-01 Wave Paticle Duality.
Mod-01 Lec-02 Standing Waves.
Mod-01 Lec-03 Path Integrals and Schrodinger Equation.
Mod-01 Lec-04 Postulates - Part1.
Mod-01 Lec-05 Postulates - Part2.
Mod-01 Lec-06 Postulates - Part3.
Mod-02 Lec-07 Separting Variables and Particle in a Box.
Mod-02 Lec-08 Particle in a box -Part2.
Mod-02 Lec-09 Particle in a box -Part3.
Mod-02 Lec-10 Particle in a box-time dependent states-Expectations values and time dependent states.
Mod-02 Lec-11 Particle in a 3 dimensional box.
Mod-02 Lec-12 Particle in a well of finite depth.
Mod-02 Lec-13 Finite well, Delta and Step Functions.
Mod-02 Lec-14 Finite well, Continued.
Mod-03 Lec-15 Tunneling -part1.
Mod-03 Lec16 Tunneling -part2.
Mod-03 Lec-17 Schrodinger equation for Harmonic Oscillator.
Mod-03 Lec-18 Harmonic Oscillator - The Series Solution.
Mod-03 Lec-20 Harmonic Oscillator - Orthogonality of Eigenfunctions.
Mod-03 Lec-19 Harmonic Oscillator - Generating function.
Mod-04 Lec-21 Hydrogen Atom: Separating centre of mass motion and integral motion.
Mod-04 Lec-22 Hydrogen Atom: Polar Co-ordinates.
Mod-04 Lec-23 Hydrogen atom continued : Separation of variables.
Mod-04 Lec-24 Hydrogen atom : Finding the functions Θ (θ) and Φ(φ).
Mod-04 Lec-25 Finding R(r).
Mod-04 Lec-26 Atomic Orbitals -Part 1.
Mod-04 Lec-27 Atomic Orbitals -Part 2.
Mod-04 Lec-28 Atomic Orbitals -Part 3.
Mod-04 Lec-29 Atomic Orbitals -Part 4 and Hermitian Operators.
Mod-05 Lec-30 Measurement, Uncertainty Principle.
Mod-05 Lec-31 Generalized Uncertainty Principle.
Mod-05 Lec-32 Generalized Uncertainty Principle - Continued.
Mod-05 Lec-33 Angular Momentum.
Mod-05 Lec-34 Angular Momentum - Continued.
Mod-05 Lec-35 Angular Momentum - Continued and Spin.
Mod-06 Lec-36 Pertubation Theory.
Mod-06 Lec-37 Pertubation Theory - Continued.
Mod-06 Lec-38 Variation Method - Introduction.
Mod-06 Lec-39 Variation Method - Proof and Illustration.
Mod-06 Lec-40 He atom wave function with spin included -Paulis principle.
Mod-07 Lec-41 Hydrogen Molecular ion - Linear variation method.
Mod-07 Lec-42 Hydrogen Molecular ion - continued.
Mod-07 Lec-43 Hydrogen Molecular ion -continued.
Mod-07 Lec-44 Molecuar Orbitals The Hydrogen Molecule.
Mod-07 Lec-45 MO and VB theory.
Mod-07 Lec-46 MO theory of diatoms.
Mod-07 Lec-47 Di -atomics-continued.
Mod-07 Lec-48 Hybridization Huckel theory.
Mod-07 Lec-49 Huckel MO Theory continued.