Question1(20 Marks)
(a) Somemetalscrystallizein the FCCand HCPcrystalstructures.
(i) Giveany twosimilaritiesfoundin the FCCand HCPunit cells.
[2]
(ii) Giveany three differencesfoundin the FCCand HCPunit cells.
[3]
(iii) Although they have some similarities, FCCmetals are generally more ductile
comparedto HCPmetals.Explainwhy.
[I]
(iv) Giveone exampleof a metal that havethe FCCand HCPcrystal structure at room
temperature respectively.
[2]
(b) Distinguishbetweenthe followingterms:
(i) Vacancyand interstitialdefect.
[I]
(ii) Stackingsequenceand a stackingfault.
[I]
(ii) Dislocation,angdrain boundary.
[I]
(c) Magneticsusceptibilityisa characterizationtechniqueemployedin metalsto determinetheir
magneticbehaviour.Thediagram belowshowsthe intensity of magnetizationobservedin
iron and nickelin differentcrystallographicdirections.
(i) It isclearthat the intensityof magnetizationisdifferentin differentcrystallographic
directionsin the effectivefieldof below700 Gaussesand below400 Gaussesin iron
and nickelrespectivelyW. hatisthe commonterm usedfor thisbehaviour? [1]
(ii) Calculate the linear density for [100] and [111d]irections in iron and nickel
respectively.
[4]
(iii) Commenton the observedmagneticbehaviourin relationto lineardensity. [I]
1800
- 1600
Iron
..c·
._g 1400
N
1200
eC
Cl
1000
0 800
-~
$ 600
.f:
400
200
0 ...__....__._____.__.___..___.~..____.____.__.._~-
0
200
400
600
800
1000 Gausses
Effective field, H (Gausses)
(d) Determinethe directionindicesfor (i) lineom,(ii) lineon,and (iii) lineopin the cubicunit cell
shown below.
[3]
[001)
[100)
2