Elemental & Metallic Solids
Nv= nexp (-Qv/ RT)
nv: number of vacancies/cm3
n: number of atoms/cm3
Qv: activation energy required to produce vacancies – J/mol
R: gas constant
T: Temperature – K
Origin of vacancies in elemental & metallic solids: thermal excitation; aka "intrinsic vacancies"
Effect of Heat Treatment
- Vacancy concentration after furnace cooling
- Vacancy concentration after quenching
- Comparison of electrical resistivity between furnace cooled and quenched Cu wires
- Comparison of yield strength between furnace cooled and quenched Cu wires
- Comparison of diffusivity (of other species) between furnace cooled and quenched Cu wires
Vacancies in Ionic Solids-2
- Vacancies are created when "solutes" dissolve in "solvent"
- Vacancy concentration dependent on solute concentration
- Cations dissolve into cation sites
- Anions dissolve into anion sites
- Vacancies are distinguished as:
- Cation vacancies, and
- Anion vacancies
- Charge neutrality must be maintained
- Vacancies created as a result of solute dissolution are called "extrinsic vacancies"
Substitutional Defects - 1
- What is a substitutional defect?
- Examples of substitutionals
- Hume-Rothery Rules
- Size ratio
- Electronegativity difference
- Valence difference
- Crystal structure difference
Franky L. Duque Ayala
15.990.445
CRF
http://www.sjsu.edu/faculty/selvaduray/page/mate115/Defects%20in%20Solids.pdf
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