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MATSE 201 - Exam 3 Review
Thermal Properties, Composites, Electrical Properties
76
Science
Undergraduate 3
12/17/2010

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Cards

Term
definition of heat
Definition
thermal energy
Term
definition of temperature
Definition
equilibrium concept in heat
measure of avergae kinetic energyassociated with atoms in a substance
Term
phonons
Definition

elastic waves in a material

have quantized energy E=hν

Term
internal energy and enthalpy
Definition
ΔH = ΔU + ΔPV
Term
heat capacity, C
Definition
energy required to change the temp. of 1 mole of a substance by 1 degree Celsius
units: J/molK
Term
specific heat
Definition
energy required to change the temp. of 1 kg of a substance by 1 degree Celsius
Term
heat transfer
Definition
Q = mCΔT
Term
heat capacity at constant V
Definition
CV = (ΔU/ΔT)V
Term
heat capacity at constant T
Definition
CP = (ΔH/ΔT)P
Term
differences between constant V and constant T heat capacity
Definition

for ideal gases: CP=CV+ R (effects of P are important)

for solids: CP≈CV (effects of P are small)

 

Term
thermal expansion
Definition
as T increases,
there amplitude of atomic vibrations in a solid increase,
so solid expands
Term
CTE
coefficient of thermal expansion
Definition

also called α

dl/l = αdT

Term
about CTE
Definition

as bond strength ↑   α

as energy ↑   α

as melting point ↑   α

as temp. ↑   α usually ↑

also depends on crystal structure

Term
defintion of thermal conductivity
Definition
it describes the ability to transfer heat
Term
Fourier's law for heat flux
Definition

.              

Q/A = -k(dT/dx)

where k=thermal conductivity

Term
thermal conductivity mechanisms
Definition
atomic vibrations: stronger bonds and closer stomic spacing facilitates heat transfer

conduction of free electrons: KE is transferred via mobile electrons
Term
about k
Definition
metals usually have higher k than nonmetals because they have both mechanisms

exception exist for very strongly bonded crystals like diamond
Term
definition of thermal shock
Definition
fracture of material due to sudden temp change (usually cooling)
Term
about thermal shock
Definition
a problem with using brittle materials at high T

depends on thermal expansion
thermal conductivity
fracture toughness
Term
mechanisms of thermal shock
Definition
thermal expansion of a constrained material leads to failure stress

rapid T change produces Temp. gradients with a material, resulting in non-uniform expansion/contraction -> internal stress

ex: rapid cooling leads to tensile stress at surface
Term
define composite
Definition
material composed of two or more individual materials (not chemically reacted) to obtain unique properties not available in a pure material

means artificially created structures, not multi-phase equilibrium microstructures
Term
connectivity of composites
Definition
thin, short fiber sprinkles oriented randomly in a continuous matrix: 0D fibers, 3D matrix

thin, continuous fibers all aligned in the same direction in a continuous matrix: 1D fibers, 3D matrix

thin, continuous fibers all aligned in the same direction in a continuous matrix: 1D fibers, 3D matrix

flat "sheet" of woven fibers in a continuous matrix: 2D fibers, 3D matrix
Term
define laminar composite
Definition
layered components with 2D connectivity
(meaning the matrix is also a layered component with 2D connectivity)
Term
composite density
Definition

depends only on volumes fractions (not connectivity)

ρc= Σρivi

 

where ρ= density

                    v= volume fraction

Term
composite heat capacity
Definition

depends only on mass fractions (not connectivity)

Cc=ΣmiCi

Term
[property averaging rules in composites]
Definition
Term
classification of electronic materials
Definition
conductors
semiconductors
superconductors
dielectrics (insulators)
Term
Ohm's Law
Definition

V=IR

σ=JE

where J=current density

σ=conductivity

ρ=resistivity

Term
about conductivity
Definition
depends on concentration of charge carriers
mobility of charge carriers
Term
force acting on a charge
Definition
F=q(E+v×B)
Term
electron mobility
Definition

μe = vd/E = σ/(nqe)

 

where n=# free electrons/volume

qe= charge of electron (1.602E-19 C)

 

Term
about charge carrier mobility
Definition
depends on carrier type (electron, hole, ion, vacancy)

structure (composition, crystallinity, lattice type)

defects

temp. (because of phonon scattering)

*anything that scatters moving charges decreases mobility
Term
[resistivity in metals vs. resistivity in semiconductors]
Definition
Term
intrinsic vs. extrinsic semiconductor
Definition
intrinsic- pure materials, where conductivity depends on excitation of electrons across the bandgap

extrinsic- conductivity depends on impurities
Term
band gap differences
Definition
insulator: band gap E: over 2.5 eV
semiconductor: band gap E: under 2.5 eV
metal: band gap E: 0 eV
Term
[how free carries are generated in intrinsic and extrinsic semiconductors]
Definition
Term
density of states
Definition
how many occupiable states exist in the bands
Term
about Fermi-Dirac function
Definition
describes the probability that an electron will have a given energy based on thermal activation

below the "Fermi level," all occupiable states are filled at T= abs. zero
Term
Fermi-Dirac equation
Definition
F(E) = [1 + e^((E - EF)/kT)]-1
Term
equilibrium carrier concentration eqns
Definition

n = Nce^[-(Ec-EF)/kT]

 

p = Nve^[-(EF-Ev)/kT]

 

where c= conduction band

v= valence band

Term
A quantum of energy resulting from vibrational waves in a solid is a _____
Definition
phonon
Term
temperature is a measure of _____ energy associated with atoms/molecules in a substance
Definition
kinetic
Term
_____ is a materials property that represents the amount of _____ absorbed/released per mass to raise/lower the material's temp. by 1 degree
Definition
heat capacity
energy
Term
a maerial's CTE _____ as bond strength increases, so it is _____ proportional to _____ and _____ that depend on bond strength
Definition
decreases
inversely
melting pt.
Young's modulus
Term
thermal conductivity describes the ability of a material to _____ and has units of _____
Definition
transfer heat
W/mK
Term
metals usually have higher thermal conduvtivity than ceramics because _____
Definition
they have heat transfer by mobile electrons and by atomic vibrations, but ceramics only have the latter
Term
How could crystallographic defects affect thermal conductivity?
give an example.
Definition
Crystal defects usually decrease thermal conductivity.

substitutional inpurities, dislocations, and grain boundaries will decrease it
Term
Why does rapic cooling of a material make it more susceptible to thermal sghock than rapid heating?
Definition
because cooling makes the outer surface contract faster than the inside, which puts the surface under tensile stress, and brittle fracture occurs more readily for tensile stress than for compressive
Term
the conductivity of a meaterial is a function of the _____ and the _____ of charge carriers
Definition
concentration
mobility
Term
when electrons in a conductor are accelerated in an electric field, _____ events cause a loss of _____ energy, and the electrons will attain a speed called the _____
Definition
scattering
kinetic
drift velocity
Term
the carrier mobility is the ratio of _____ to _____
Definition
drift velocity
electric field
Term
when atoms are brought together in a solid, _____ interactions cause energy levels to split into closely spaced states called _____
Definition
electron-electron interactions
energy bands
Term
the _____ band is the highest band normally filled with electrons, above it is the _____ band
Definition
valence
conduction
Term
the probability that an electron will have a given energy above the Fermi level is given by the _____
Definition
Fermi-Dirac function
Term
in a semiconductor, the transition of an electron from the valence band to the conduction
band (or vice versa) requires absorption/release of _____ which can be in the form of _____ or _____
Definition
energy
light
heat
Term
A ______ is an impurity in a semiconductor that substitutes for an atom in the host crystal with a different _____ state, which results in the _____or ______ of an electron by the impurity.
Definition
dopant
valence
donation
borrowing
Term
Large organic molecules (and polymers) can be electrically conductive and semiconductive when they have a _____ bond structure which means there is a pattern of alternating ______.
Definition
conjugated
double and single bonds
Term
Dielectric materials are electrically ______, but are
______ in an electric field, by mechanisms which may include
______, _______, ________, or _______
Definition
insulating
polarizeable
electronic polarization
dipolar polarization
space charge polarization
Term
The _____ polarization mechanism is present in all substances and is the related to the index of refraction.
Definition
electronic polarization
ionic polarization
Term
The ______ polarization mechanism exists in some materials and is the basis of microwave heating.
Definition
dipolar polarization
Term
The _______ polarization mechanism exists in _____________ materials and can be exploited in IR spectroscopic characterization techniques.
Definition
ionic polarization
ionic
Term
______ materials have spontaneous polarization below a critical temperature known as the ______ temperature.
Definition
ferroelectric
Term
[calculate values of E or n in relating given data to the Arrhenius nature of the intrinsic carrier concentration]
Definition
Term
relative permittivity (or dielectric constant)
Definition
indicates degree of polarizability of a material
Term
relative permittivity
Definition

εr

 

same thing as

 

dielectric constant, K

Term
polarization mechanisms:
Electronic Polarization
Definition
occurs when, in the presence of an electric field, there is a slight displacement b/t nucleus of an atoms and its electron cloud, creating a dipole moment.

present in all materials

gives rise to the refractive index of a material in the
visible range of the EM spectrum

frequency: under 1E16 Hz
Term
polarization mechanisms:
Ionic Polarization
Definition
occurs when bonds between anions and cations deform, moving ions further away/closer together.

present in ionic materials

basis of IR spectroscopic characteriztaion of
materials

frequency: under 1E13 Hz
Term
polarization mechanisms:
Dipolar (or Orientation) Polarization
Definition
occurs when permanent dipoles realign in the presence of an electric field

occurs in polar materials

basis of microwave heating

frequency: under 1E9 Hz
Term
polarization mechanisms:
Space Charge Polarization
Definition
occurs when mobile charges (including electrons and ions) pile up at interfaces or grain boundaries, leaving their compensating charges back in the lattice.

not a common mechanism for most materials.
Term
[Explain how an impurity can be a donor or acceptor of electrons in a semiconductor crystal and
how to determine the density of both majority and minority carriers]
Definition
Term
[Describe the regions (i.e. different slopes) on a plot of carrier concentration vs. 1/T for an
extrinsic semiconductor]
Definition
Term
[Understand the basic principle and electrical characteristics of a semiconductor diode.
Understand the basis of light emission from a light-emitting diode or the generation of electrical
current from a solar cell.]
Definition
Term
permittivity and capacitance
Definition

Electric field across dielectric: E=V/d

C = Q/V = (εoA)/d

chrage density: D = εoE

Term
effects of polarization in materials on capacitance of parallel electrode structures.
Definition
charge density increases by K
Term
dielectric loss
Definition

quality factor, Q=energy stored/energy used = 1/tan(δ)

 

where energy stored = ½cv2

Term
Piezoelectricity
Definition
Piezoelectric materials develop a voltage under mechanical stress and vice-versa

Occurs in crystals with no center of symmetry (Non-centrosymetric)

All ferroelectric materials are piezoelectric (but not all piezoelectric materials are ferroelectric)

used for sonar, touch sensors, strain gauges, and microphones
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