Review: Chapt 3 – Crystal
Structures
•Unit Cell
–Metals
•BCC
•FCC
•HCP
•Atomic packing factor
•Coordination number
•Crystallographic directions [uvw]
families of directions <uvw>
•Linear density of atoms (ld) = atoms/unit
length
Review: Chapt 3 – Crystal
Structures (cont.)
•Miller indices of planes (hkl)
families of planes {hkl}
•Planar density (pd) = # of atoms/ unit area
(pd) = S.A. atoms/S.A. unit
cell
•X-Ray Diffraction
–Bragg’s law
sin2
n
d
hk
Review: Chapter 4
•Imperfections
–Point defects
•Interstitial
•Vacancy
•Substitution
•Solid solutions
–Line defects
•Edge dislocation - Burgers vector perpendicular to
dislocation line
•Screw dislocation - Burgers vector parallel to
dislocation line
–Planar defects
•Twin
•Stacking fault
•Grain Boundary
Review: Chapter 5
•Diffusion
–Vacancy diffusion
–Interstitial diffusion
–Fick’s First Law
Second Law
–Temp effect
–Slab- non-steady state
dx
dC
DJ
2
2
x
C
D
t
C
RT
Q
expDD
d
0
Dt2
x
erf1
CC
CC
0s
0x
Review: Chapter 19
•Thermal Properties
–Heat Capacity
•C = dQ/dTC
p > C
v
–phonons
–thermal expansion coefficient
l/l =
l T
–thermal conduction of heat
•q = -k (dT/dx)
–k = heat transfer coefficient
Review: Chapter 6
Mechanical Properties
•Stress vs. strain
•Hooke’s law E
A
F
0
0
0
y
TS
F
E
Review: Chapter 6
•Poisson’s Ratio
•Toughness
•Resilience
•Hardness
z
x
z
y
Review – Chapter 7
Dislocations and Strengthening Mechanisms
•Deformation by motion of dislocations
–Slip plane – plane of easiest deformation
–Slip direction – direction of easiest slippage
–Slip system – direction and plane
•Applied stress must be resolved along slip direction
= cos cos
•Twinning
•Mechanism of strengthening
–Grain size reduction
–Solid-solution hardening
•impurities reduce mobility of dislocations
–Strain hardening %CW = 100 x (A
0
-A
f
)/A
0
•Recovery, recrystallization, & grain growth
Review – Chapter 8
Fracture – failure
–Ductile fracture
•Large deformations
–cone & cup
–small necked regions
–Brittle fracture
•Almost no deformation other than failure
–transgranular – within grain
–intergranular- between grains
Review- Chapter 9
Phase Diagrams
•Isomorphous system
–1. How many &
which phases
–2. Use tie line to
read compositions
–3. Use lever rule
to get weight
fractions
Review- Chapter 9
•binary eutectic system
–1. How many & which phases
–2. Use tie line to read compositions
–3. Use lever rule to get weight fractions
Review- Chapter 9 (cont.)
•Eutectic L S
1+S
2
•Eutectoid S
1 S
2+S
3
•Peritectic S
1
+L S
2
•Hypoeutectoid
•Hypereutectoid
cool
heat
cool
heat
cool
heat
Review - Chapter 10
Rate of Phase Transformation
•Nucleation process
Review - Chapter 10 (cont)
•Phase transformations vs. temperature
and time
–Pearlite
–Martensite
–Bainite
–Spheroidite
Chapter 11
•Heat Treatments
Review – Chapter 11
Fabrication of Metals
•Forming
–Forging
–Rolling
–Extrusion
–Drawing
•Casting
•Powder metallurgy
•Welding
•Machining
•Alloy Nomenclature
•Cast Irons – addition of Si catalyzes graphite
formation
•Refractories
Review – Chapter 12
Ceramics
•Crystal structures
–oxygen larger – generally in FCC lattice
–cations go in lattice sites based on
•size
•stoichiometry
•charge balance
•bond hybridization
–no good slip planes – brittle failure
•Silicates
–built up of SiO
4
4-
–layered
–countercations to neutralize charge
Chapter 12 – Ceramics
•Carbon forms
–diamond
–graphite
–fullerenes
–amorphous
•Lattice imperfections
–Frenkel defect – cation displaced into
interstitial site
–Schottky defect – missing cation/anion pair
•Phase diagrams
•Mechanical properties
Chapter 14 – Polymers
•Molecular Weight
–Actually a molecular weight distribution
–M
n = Number-averaged molecular weight
–M
w
= Weight-averaged molecular weight
–Polydispersity = M
w
/M
n
•A measure of the width of the distribution
•Chain Shapes
–linear
–branched
–crosslinked
–network
Chapter 14 & 15 – Polymers
•Isomerism
–Isotactic
–Syndiotactic
–Atactic
–Cis vs. Trans
–Copolymers
•Random
•Alternating
•Block
•Crystallinity
–Spherulites
Chapter 16 – Composites
•Combine materials with objective of getting a
more desirable combination of properties
•Dispersed phase
•Matrix
•Particle reinforced
–large particle
–dispersion strengthened
•Rule of mixtures
–Upper limit E
c
(u) = E
m
V
m
+ E
p
V
p
–Lower limit
EVEV
EE
E
mppm
pm
c
Chapter 16 – Composites
•Reinforced concrete
•Prestressed concrete
•Fiber reinforced
–Short vs. long fibers
–Critical length
–allignment
c
f
c
2
d
Chapter 18 – Electrical Properties
•Energy Bands – valance vs. conduction
–Conductor – no band gap
–Insulator – wide gap
–Semiconductor – narrow gap
•Intrinsic – pure or compound
–Electron vs. hole (which carries charge)
•Extrinsic (doped)
–n-type – donor levels – extra electrons
–p-type – acceptor levels – extra holes
•Microelectronics
–pn junction – rectifier diode
–npn transistor
Chapter 20 – Superconductivity
•T
c = temperature below which
superconducting
= critical temperature
J
c = critical current density if J > J
c not
superconducting
H
c = critical magnetic field if H > H
c not
superconducting
•Meissner Effect - Superconductors expel
magnetic fields
Chapter 21 – Optical Properties
•Electromagnetic radiation
•Angle of refraction at interface
hc
hE
)mediuminlightofvelocity(v
)vacuuminlightofvelocity(c
indexrefractiven
sin
sin
n
n
Chapter 21 – Optical Properties
•Light interaction with solids
–Reflection
–Absorption
–Scattering
–Transmission
•Semiconductors – absorb light with energy
greater than band gap
•Luminescence – emission of light by a material
–phosphorescence = If very stable (long-lived = >10
-8
s)
–fluorescence = If less stable (<10
-8
s)
•LASERS – coherent light
•Fiber optics
tyreflectivi
2n
1n
R
2
t
I
I
ln
0
Questions???
•Contact Prof. David Rethwisch to discuss
questions.
–office 4139 SC
–Phone 335-1413
–email [email protected]