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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


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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