Defects, Driving Forces and Definitions of Diffusion Coefficients in Solids

Aloke Paul*, Tomi Laurila, Sergiy Divinski

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterScientificpeer-review

3 Citations (Scopus)


Defects assist the diffusion process, whereas driving forces influence the rate of diffusion depending on the thermodynamics of alloying, diffusion mechanisms, diffusion paths, and defect production. Different types of diffusion are defined based on defects assisting the diffusion process and whether atomic transport occurs in the absence or presence of an additional driving force different from purely entropic one. In this chapter, different types of zero-dimensional (point defects), one-dimensional (edge and screw dislocations), two-dimensional (grain and phase boundaries, surfaces), and three-dimensional (voids) defects are introduced. The origins of internal (chemical) and external (electric current) driving forces are discussed. Based on defect types and driving forces, different types of diffusion coefficients are introduced.

Original languageEnglish
Title of host publicationHandbook of Solid State Diffusion
Subtitle of host publicationDiffusion Fundamentals and Techniques
EditorsAloke Paul , Sergiy Divinski
Number of pages54
ISBN (Electronic)9780128043608
ISBN (Print)9780128042878
Publication statusPublished - 10 Apr 2017
MoE publication typeA3 Part of a book or another research book


  • Atomic diffusion mechanism
  • Defects in ionic solids
  • Defects in ordered phases
  • Dislocations
  • Grain boundaries (high angle/low angle)
  • Grain boundary diffusion
  • Impurity diffusion
  • Interdiffusion
  • Interfaces
  • Interstitials
  • Intrinsic diffusion
  • Pipe diffusion
  • Self-diffusion
  • Stress and electric current
  • Surface diffusion
  • Surfaces
  • Thermodynamic driving force
  • Tracer diffusion
  • Vacancies


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