= ~3.810-4
For most metals, the value near the melting point is in the range of 10-3 to 10-4
Chapter 5
Imperfections in Solids
Lecturer: Shenhua SONG
Outline
• Point defects • Linear defects • Plane defects
1. Point defects in metals 2. Point defects in ceramics
Formation – leading to an increase of internal energy – free energy increase (G = H - TS, H=U+PV, U - H - G ) Formation – leading to an increase of entropy (randomness) –free energy decrease At a given temperature, there must be a concentration of point defects at which the free energy of the system has a minimum value.
equilibrium for a certain amount of material and N is the total number of atomic sites
Point Defects – Point Defects in Metals (6)
~3 for most metals e.g. iron (Fe): Hv is ~1.4 eV per atom, the melting points is 1808K (1535oC), the equilibrium vacancy concentration is