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Course

CH-250: Mathematical methods in chemistry

Lectures in this course (35)

Metal Hydride Complex Symmetry

Explores the symmetry analysis of a deuterated metal hydride complex and its molecular orbitals.

Symmetry and Group Theory

Explores symmetry and group theory applications in chemistry, covering matrix representations, normal modes, and harmonic oscillators.

Symmetry and Group Theory

Covers symmetry operations, isomorphic representations, and point groups in molecules.

Fourier Series: Odd and Even Functions

Explores odd and even functions in Fourier series applications, including half-range series and cosine/sine series.

Symmetry Operations in Quantum Mechanics

Explores symmetry operations in quantum mechanics, emphasizing the preservation of state properties.

Symmetry and Group Theory: Exercise 5

Covers the basis for irreducible representations and characters of direct product representations.

Partial Differential Equations: Classification and Solutions

Covers the classification and solutions of partial differential equations, including Laplace transform and separation of variables techniques.

Symmetry and Group Theory

Covers the determination of symmetry species for molecular orbitals in various molecules and the irreducible representations of metal orbitals in a square planar complex.

Heat Transfer and Boundary Conditions

Explores heat transfer, boundary conditions, eigenvalue problems, and quantum mechanics visualization using Wolfram Mathematica.

Linear Molecules: Carbon

Covers the properties of linear molecules in carbon and discusses neutral elements, associative law, and conjugate elements.

Point Groups and Linear Molecules

Covers the concept of point groups and their systematic classification, focusing on linear molecules.

Symmetry and Group Theory

Explores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.

Symmetry in Molecules: Exercise Sets 1 and 2

Explores symmetry in molecules through exercise sets 1 and 2.

Symmetry and Group Theory

Covers molecular orbitals, symmetry species, IR and Raman modes, isomer spectroscopy, and character tables.

Bases of Representations: Summary and Rules

Covers the summary and rules related to bases of representations in Symmetry 2021.

Group Representations: Matrices and Symmetry

Explores group representations using matrices, discussing reducible vs. irreducible representations and the Great Orthogonality Theorem.

Symmetry: Representations of C3v

Explores representations of C3v symmetry, character tables, Mulliken symbols, and group theory applications in eigenfunctions.

Symmetry in Integrals & Matrix Elements

Explores the concept of symmetry in integrals and matrix elements.

Group Theory & Quantum Mechanics

Explores k-fold degenerate sets of eigenfunctions and their basis for irreducible representations.

Symmetry & Group Theory

Covers the fundamental concepts of symmetry and group theory.