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CH-4: Imperfections in Solids Why STUDY Imperfections in Solids? Many of the important properties of materials are due to the presence of imperfections.

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Presentation on theme: "CH-4: Imperfections in Solids Why STUDY Imperfections in Solids? Many of the important properties of materials are due to the presence of imperfections."— Presentation transcript:

1 CH-4: Imperfections in Solids Why STUDY Imperfections in Solids? Many of the important properties of materials are due to the presence of imperfections. Pure metals experience significant alterations when alloyed: Sterling silver: 92.5% Ag & 7.5% Cu. Cartridge brass: 70% Cu & 30% Zn. Impurities play important roles in semiconductors.semiconductors Steel (composition ) and (making)compositionmaking Atomic defects are responsible for reducing gas pollutant emissions in automobiles: Catalytic Converters Molecules of pollutant gases become attached to surface defects of crystalline metallic materials ((Ce 0.5 Zr 0.5 )O 2 ) in the catalytic converter. While attached to these sites, chemical reactions convert them into other non- or less-polluting substances.

2 Catalyst: (Ce 0.5 Zr 0.5 )O 2 High-resolution transmission electron micrograph of single crystal (Ce 0.5 Zr 0.5 )O 2, which is used in catalytic converters. Catalyst is a substance that speeds up the rate of a chemical reaction without participating in the reaction itself. Catalyst adsorbs on its surface gas pollutants (CO and NO X ) and molecules of unburned hydrocarbons, which are converted to CO 2 and H 2 O.adsorbs Schematic representation of surface defects that are potential adsorption sites for catalysts.

3 3 Catalysts and Surface Defects A catalyst increases the rate of a chemical reaction without being consumed Active sites on catalysts are normally surface defects Fig. 4.10, Callister & Rethwisch 8e. Fig. 4.11, Callister & Rethwisch 8e. Single crystals of (Ce 0.5 Zr 0.5 )O 2 used in an automotive catalytic converter

4 4 Vacancy atoms Interstitial atoms Substitutional atoms Point defects Types of Imperfections Dislocations Line defects Grain Boundaries Area defects

5 5 Vacancies: -vacant atomic sites in a structure. Self-Interstitials: -"extra" atoms positioned between atomic sites. Point Defects in Metals Vacancy distortion of planes self- interstitial distortion of planes

6 6 Boltzmann's constant (1.38 x 10 -23 J/atom-K) (8.62 x 10 -5 eV/atom-K) N v N exp Q v kT No. of defects No. of potential defect sites Activation energy Temperature Each lattice site is a potential vacancy site Equilibrium concentration varies with temperature! Equilibrium Concentration: Point Defects

7 7 We can get Q v from an experiment. N v N = exp Q v kT Measuring Activation Energy Measure this... N v N T exponential dependence! defect concentration Replot it... 1/T N N v ln - Q v /k/k slope

8 8 Find the equil. # of vacancies in 1 m 3 of Cu at 1000 C. Given: A Cu = 63.5 g/mol = 8.4 g/cm 3 Q v = 0.9 eV/atom N A = 6.02 x 10 23 atoms/mol Estimating Vacancy Concentration For 1 m 3, N = N A A Cu x x1 m 3 = 8.0 x 10 28 sites = 2.7 x 10 -4 8.62 x 10 -5 eV/atom-K 0.9 eV/atom 1273 K N v N exp Q v kT Answer: N v =(2.7 x 10 -4 )(8.0 x 10 28 ) sites = 2.2 x 10 25 vacancies

9 Impurities in Solids A pure metal consisting of only one type of atom just isnt possible. Even with sophisticated techniques, it is difficult to refine metals to a purity in excess of 99.9999%. Very few metals are used in the pure or nearly pure state: 1. Electronic wires- 99.99% purity Cu; Very high electrical conductivity. 2. 99.99% purity Al (super-pure Al) is used for decorative purposes-- Very bright metallic surface finish. Most engineering metals are combined with other metals or nonmetals to provide increased strength, higher corrosion resistance, etc. 1.Cartridge brass: 70% Cu & 30% Zn. 2.Sterling silver: 92.5% Ag & 7.5% Cu. 3.Inconel 718, Ni-base super-alloy, used for jet engine parts, has 10 elements.

10 Solid Solutions Simplest type of alloy is that of solid solution. Two types: 1. Substitution Solid Solution 2. Interstitial Solid Solution.

11 11 Conditions for Solid Solubility Conditions for substitutional solid solution (S.S.) W. Hume – Rothery rule – 1. r (atomic radius) < 15% – 2. Proximity in periodic table i.e., similar electronegativities – 3. Same crystal structure for pure metals – 4. Valency All else being equal, a metal will have a greater tendency to dissolve a metal of higher valency than one of lower valency

12 12 Application of Hume–Rothery rules – Solid Solutions Table on p. 118, Callister & Rethwisch 8e. ElementAtomicCrystalElectro-Valence Radius Structure nega- (nm) tivity Cu0.1278FCC1.9+2 C0.071 H0.046 O0.060 Ag0.1445FCC1.9+1 Al0.1431FCC1.5+3 Co0.1253HCP1.8+2 Cr0.1249BCC1.6+3 Fe0.1241BCC1.8+2 Ni0.1246FCC1.8+2 Pd0.1376FCC2.2+2 Zn0.1332HCP1.6+2 4.4: Which of these elements would you expect to form the following with copper: (a) A substitutional solid solution having complete solubility (b) A substitutional solid solution of incomplete solubility (c) An interstitial solid solution


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