Course

Core Science - Engineering Chemistry 1

Indian Institute of Technology Madras

This course, led by Prof. K. Mangala Sunder from the Dept. of Chemistry at IIT Madras, delves into the fundamental concepts of Engineering Chemistry. It covers:

  • Introduction to Quantum Chemical Methods
  • Particle in a box theory
  • Harmonic Oscillator and its application in molecular vibrations
  • Radial and Angular solutions for the Hydrogen Atom
  • Born-Oppenheimer Approximation and its significance

Each lecture builds a strong foundation in quantum mechanics tailored for engineers, equipping students with essential tools for understanding chemical systems.

Course Lectures
  • This module introduces the basics of chemistry and quantum chemical methods. Students will explore fundamental principles that govern atomic and molecular behavior, establishing a solid groundwork for the course.

  • This module covers the concept of a particle in a box, detailing both one and two-dimensional scenarios. Students will learn how quantum confinement affects particle behavior and energy levels, providing insights into the fundamentals of quantum mechanics.

  • This module continues the discussion on the particle in a box, delving deeper into its implications for quantum mechanics and providing examples of practical applications. Students will engage with mathematical models that describe particle behavior.

  • This module introduces the concept of the harmonic oscillator, which is crucial for understanding molecular vibrations. Key topics include the mathematical formulation and physical significance of harmonic oscillators in chemistry.

  • This module continues exploring harmonic oscillators, emphasizing their applications in real-world chemistry and physics problems. Students will analyze various cases, enhancing their understanding of molecular dynamics.

  • This module covers the radial solution of the hydrogen atom, providing an in-depth analysis of its wave functions and energy levels. Students will learn about the significance of these solutions in quantum chemistry.

  • This module explores the angular solutions of the hydrogen atom, expanding on the previous discussions of radial solutions. Students will analyze how angular momentum plays a critical role in quantum systems.

  • This module continues the discussion on angular solutions for the hydrogen atom, emphasizing their importance in determining energy states and transitions. This understanding is crucial for interpreting chemical reactions.

  • This module concludes the discussion on angular solutions, summarizing key concepts and their relevance to the broader field of quantum chemistry. Students will be prepared for practical applications of these theories.

  • This module introduces the Born-Oppenheimer Approximation, a fundamental concept in quantum chemistry. Students will explore how this approximation simplifies calculations involving molecular systems and enhances understanding of chemical interactions.