Question1(20 Marks)
(a) Sketchthe planesidentifiedby the followingmillerindices.
(i) (101)
[2]
(ii) (112)
[2]
(iii) (123)
[2]
(b) Distinguishbetweenthe following:
(i) a normal grain boundary and a twin boundary.
[2]
(ii) dislocationclimband dislocationannihilation.
[2]
(c) Explainthe effectof the followingdefectson the strength of a metal:
(i) Highanglegrain boundary.
[1]
(ii)lowanglegrain boundary.
[1]
(ii)Substitutionaldefect.
[1]
(d) Theactivationenthalpy for the formationof vacanciesin copper is83 700 J/ mol,whilethe
activationenthalpy for the formationof self-interstitialatoms in copper is385 000 J/ mol.
(i) Calculatethe equilibriumconcentrationof vacanciesin copper at 1000 K.
[3]
(-ii)Calculatethe equilibriumconcentrationof interstitialatomsin copperat 1000 K. [3]
(iii)Commentand explainyour answersin (i) and (ii).
[1]
Question2 (20 marks)
Thediagrambelowshowsthe lead-tinphasediagram.
(a) Commenton the solubilityof leadand tin withineachother, and identifythe terminalsolid
solution(s)and the intermediatephase(s).
[3]
(b) PointEindicatesan invariantpoint.
(i) Identifythe invariantpoint.
[1]
(ii)Calculatethe phasefractionsin the alloyat point E.
[4]
(iii) Sketchthe microstructureof the alloy formedat point E.
[2]
(iv)Whatisthe alloy formed point Ecommonlyusedfor, and why?
[1]
(c) Considera Pb-20Snalloy.
(i)Sketchthe coolingcurve for the alloygiventhat the pouring temperature during castingis
300°(.
[3]
(ii) Calculatethe phasefractionsin the alloyat lOOoC.
[4]
(iii) Sketchthe microstructureof the alloy.
[2]
2