X
X
X

X
Courses » Introduction to Reciprocal Space

Introduction to Reciprocal Space

ABOUT THE COURSE
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.

INTENDED AUDIENCE
Students of BE/ME/MS/BSc/MSc/PhD streams

PRE-REQUISITES
Students who have at least completed first year of undergraduate studies (in Engineering or Science) will be in a better position to benefit from this course.

SUGGESTED READING
Physics of Materials
Essential Concepts of Solid State Physics
Author: Prathap Haridoss
Publisher: Wiley

COURSE INSTRUCTOR



Prathap Haridoss is a Professor in the Department of Metalurgical and Materials Engineering, IIT Madras.
Research Interests: Carbon nanomaterials, PEM Fuel Cells, Semiconducting nanomaterials
COURSE LAYOUT

Week 1:
Materials Science approach to defining Reciprocal space;
Diffraction and reciprocal space;
Worked examples

Week 2:
Ewald Sphere and lattices in reciprocal space;
Wigner Sietz cells and Brillouin Zones;
Worked examples

Week 3:
Brillouin Zones, Diffraction and allowed energy levels;
E Vs K, Brillouin zones and the Origin of Bands;
Worked examples

Week 4:
Mathematical representation of real space, Fourier Transforms;
Reciprocal space as Fourier transform of real Space;
Mathematical notation for reciprocal space

Certificate

Certificate will be given to those who register and write the exam. Certificate will have your name, photograph and the score in the final exam.

It will have the logos of NPTEL and IIT Madras. It will be e-verifiable at nptel.ac.in/noc.