Introduction to Reciprocal Space and its Use in Solids (Prof. Prathap Haridoss, IIT Madras): Lecture 08 - E vs K, Brillouin Zones and the Origin of Bands

Introduction to Reciprocal Space and its Use in Solids

Introduction to Reciprocal Space and its Use in Solids. Instructor: Prof. Prathap Haridoss, Department of Metallurgical and Materials Engineering, IIT Madras. In Materials Science as well as in Physics, many concepts are elegantly represented in what is known as Reciprocal Space. As the name suggests this is inversely related to the commonly encountered and familiar everyday Real Space. In this course we will see how Reciprocal Space is defined. How it is mathematically related to Real Space. How the approaches used in Materials Science texts and Physics texts on this topic, relate to each other. We will also put it to use to look at specific aspects of Materials Science and Physics. (from nptel.ac.in)

Lecture 08 - E vs K, Brillouin Zones and the Origin of Bands

Go to the Course Home or watch other lectures:

Lecture 01 - Reciprocal Space; Definition and Properties

Lecture 02 - Condition for Diffraction

Lecture 03 - Examples on Reciprocal Space

Lecture 04 - Ewald Sphere and Lattices in Reciprocal Space

Lecture 05 - Wigner-Seitz Cells and Brillouin Zones

Lecture 06 - Examples on Diffraction Pattern

Lecture 07 - Brillouin Zones, Diffraction and Allowed Energy Levels

Lecture 08 - E vs K, Brillouin Zones and the Origin of Bands

Lecture 09 - Examples on Wigner-Seitz Cells and Band Structure

Lecture 10 - Reciprocal Space as Fourier Transformation of Real Lattice

Lecture 11 - Alternate Notation of Reciprocal Space