Course11310410640 lectures
Electronic Properties of the Materials: Computational Approach
Prof. Somnath Bhowmick · IIT Kanpur
About
The course aims to explain the physics of electronic materials in detail, followed by a brief discussion on their applications. A student taking the course will learn about traditional metals, semiconductors, and ionic-conductors, as well as newly discovered low-dimensional materials. In addition to the theory part, students will also learn from simple in-silico experiments.
Prerequisites: Basic physics (classical mechanics and electrodynamics), and mathematics.INTENDED AUDIENCE: Introductory course
Lectures
Week 1
- Lecture 1: Introduction to electronic materials
- Lecture 2: Drude model and failure of classical theory
- Lecture 3: Schrödinger equation and particle in a box
- Lecture 4: Solving Schrödinger equation for different potentials
- Lecture 5: Visualization using python (part 1)
Week 2
- Lecture 6: Visualization using python (part 2)
- Lecture 7: Numerov method: algorithm
- Lecture 8: Numerov method: code
- Lecture 9: WKB approximation (part 1)
- Lecture 10: WKB approximation (part 2)
Week 3
- Lecture 11: Quantum free electrons: Sommerfeld theory (part 1)
- Lecture 12: Quantum free electrons: Sommerfeld theory (part 2)
- Lecture 13: Quantum free electrons: Sommerfeld theory (part 3)
- Lecture 14: Quantum free electrons: Sommerfeld theory (part 4)
- Lecture 15: Sommerfeld model: Selected numerical exercise using python
Week 4
- Lecture 16: Real lattice and Reciprocal lattice
- Lecture 17: X-ray diffraction, periodic potential, Bloch theorem
- Lecture 18: Bloch electrons in 1D solid: part 1
- Lecture 19: Bloch electrons in 1D solid: part 2
- Lecture 20: Bloch electrons in 1D solid: part 3
Week 5
- Lecture 21: Origin of band gap: part 1
- Lecture 22: Origin of band gap: part 2
- Lecture 23: Origin of band gap: part 3
- Lecture 24: Band Structure in 1D: Different Representations
- Lecture 25: Band structure in 2D and 3D
Week 6
- Lecture 26: Fermi Surface Part 1
- Lecture 27: Fermi Surface Part 2
- Lecture 28: Fermi Surface Part 3
- Lecture 29: Semiclassical Electron Dynamics: Part 1
- Lecture 30: Semiclassical Electron Dynamics: Part 2
Week 7
- Lecture 31: Semiclassical Electron Dynamics: Concept of hole
- Lecture 32: Semiclassical Electron Dynamics: Concept of effective mass
- Lecture 33: Semiclassical Electron Dynamics: Concept of electron and hole orbit
- Lecture 34: Tight-Binding Method: Part 1
- Lecture 35: Tight-Binding Method: Part 2
Week 8
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT Kanpur
- Department
- Metallurgy and Material Science
- Teacher
- Prof. Somnath Bhowmick
- Level
- Undergraduate
- Language
- English
- Subjects
- Engineering
- Source
- NPTEL
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- NPTEL gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed
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