Dr. Jay Narayan

Dr. Jay Narayan

Materials Science and Engineering

Phone: 919-515-7874
Fax: 919-515-7642
Instructor Website
Research Website

MSE 702 Defects in Solids

3 Credit Hours

Starting with introduction to defects and diffusion in solids, the first part is on structure and properties of defects, and the second part is on diffusion and annealing in bulk materials and thin films needed for solid state devices.


Undergraduate courses in calculus and properties of materials.

Course Objectives

Defects play a critical role in controlling the properties of solids, which are needed for new functionality and reliability of solid-state devices and systems. The defects in solids can be generally classified into thermodynamic equilibrium (mostly point defects) and nonequilibrium defects (such as dislocations, stacking faults, grain boundaries etc.). This course starts with nature and properties of these defects and generation of point defects (by electron, photon and ion irradiation) and their clustering to form dislocation loops with and without faults. The course covers characteristics of defects in metals, ceramics and semiconductors and correlations of defect structures with mobility (diffusion) and annealing processes. Since control of defects and annealing processes are critical to the success of ion implantation, which is a well-established technique for doping and alloying of semiconductor and other materials, this course covers ion implantation processes to create p-n junctions and two-dimensional materials for next-generation solid-state devices. This course draws parallel with plastic deformation processes in metals, ceramics and semiconductors, and covers the nature of dislocations and properties in each class of materials. Generation of dislocations during processing of thin film heterostructures are covered with an aim to improve the properties of solid-state devices.

Course Outline

1. Fundamentals of point defects and dislocations: 8 lectures (75 min)

  • Introduction to defects and their influence on properties
  • Perfect crystalline structures
  • Vacancies and interstitials and dislocations (neutral defects) in metals
  • Vacancies and interstitials and dislocations (neutral and charged defects) in semiconductors
  • Defects and dislocations (charged) in ionic solids
  1. Generation of defects and annealing processes: 8 lectures (75 min)
  • Thermodynamic equilibrium generation (thermal heating)
  • Electron and photon (laser) irradiation (nonequilibrium)
  • Ion implantation (nonequilibrium)
  • Clustering of defects into dislocation loops and their annealing
  • Diffusion mechanisms and mobility of defects and annealing
  1. Defects in thin films and annealing processes: 9 lectures (75 min)
  • Relaxation of stresses and strains and generation of dislocations
  • Atomic structure and properties of dislocations
  • Dislocation interactions and reaction mechanisms
  • Point-defect, impurity and dislocation interactions
  • Effect of pressure on diffusion and annealing

Course Requirements

Homework assignments: Assignments with solutions are provided on course website. Help is provided by the instructor.

65% Exams
25% Homework
10% Term Paper

Software Requirements: Not required but will help in solving problems with matrix manipulations


  1. Defects in Solids (R. J. D. Tilley, JW Wiley Press, 2008)
  2. Elementary Dislocation Theory (J. Weertman and J. R. Weertman, Oxford University Press, 1992)
  3. Ion Implantation in Semiconductors (J. Mayer, L. Eriksson and J. A. Davies, Academic Press 1970)

Class notes and Video lectures will be provided on the course internet site.


Computer and Software Requirements

Please review minimum computer specifications recommended by NC State University and Engineering Online.

Updated 10/08/2020