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Symmetry and Group Theory - MSc Chemistry Sem 1

Dr. Prinson P Samuel via YouTube

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Overview

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Explore the fundamental principles of molecular symmetry and group theory through this comprehensive lecture series designed for MSc Chemistry students. Master similarity transformations and matrix representations of symmetry operations, progressing from basic concepts to advanced applications in molecular chemistry. Learn to construct and interpret character tables for various point groups including C2v, C3v, and C2h, while understanding Mulliken symbols and the great orthogonality theorem. Discover how to apply reduction formulas and analyze bond vectors to determine hybridization patterns in tetrahedral, square planar, triangular planar, trigonal bipyramidal, and square pyramidal molecular geometries. Delve into direct product representations and their role in identifying symmetry species of vibrational modes. Develop skills to distinguish between IR-active and Raman-active vibrations, with practical applications demonstrated through detailed analysis of ammonia molecules and AB4 square planar complexes. Gain proficiency in using group theory as a powerful tool for understanding molecular structure, bonding, and spectroscopic properties essential for advanced chemistry studies.

Syllabus

Similarity transformation | MSc Sem 1 | Uviversity of Kerla
Matrix representation of symmetry operations | part 1 | MSc Chemistry Sem 1 | University of Kerala
Matrix representtion of symmetry operations | Part 2 | MSc Chemistry | University of Kerala
Block factored matrices | MSc Sem 1 | University of Kerala
Reducible and irreducible representation | Part 1 | MSc Chemistry Sem 1 | University of Kerala
Reducible and irreducible representation | Part 2 | MSc Chemistry Sem 1 | University of Kerala
The great orthogonality theorem | MSc Chemistry Sem 1 | University of Kerala
Rules derived from the great orthogonality theorem | MSc Chemistry Sem 1 | University of Kerala
Character Table | Müllikan's symbols | MSc Chemistry Sem 1 | University of Kerala
Character table of C2v point group | MSc Chemistry Sem 1 | University of Kerala
Character table of C3v point group | Area IV fully explained | MSc Chemistry Sem 1 | Uni. of Kerala
Character table of C2h point group | MSc Chemistry Sem 1 | University of Kerala
Reduction formula | MSc Chemistry Sem 1 | University of Kerala
Total characters corresponding to bond vectors | MSc Chemistry Sem 1 | University of Kerala
Hybridization in tetrahedral molecules | MSc Chemistry Sem 1 | University of Kerala
Hybridization in square planar molecules | MSc Chemistry Sem 1 | University of Kerala
Hybridization in triangular planar molecules | MSc Chemistry Sem 1 | University of Kerala
Hybridization in trigonal bipyramidal molecules | MSc Chemistry Sem 1 | University of Kerala
Hybridization in square pyramidal molecules
Direct product representation | MSc Chemistry Sem 1 | University of Kerala
Symmetry species of vibrational modes | MSc Chemistry Sem 1 | University of Kerala
Identification of IR active vibrations | MSc Chemistry Sem 1 | University of Kerala
Identification of Raman active vibrations | MSc Chemistry Sem 1 | University of Kerala
IR and Raman active vibrations in ammonia molecule | MSc Chemistry Sem 1 | University of Kerala
IR and Raman active vibrations of AB4 square planar molecules | MSc Chemistry Sem 1 | Uni of Kerala

Taught by

Dr. Prinson P Samuel

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