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    C H A P T E R 4 :I M P ER P EF E CT I O S I N S O LI D

    ( T H O M Y D J . V O L L M E R )

    Material Engineering

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    Imperfections in Solid

    y Def:

    What is imperfection:

    [mpfkn]n

    1.

    th

    e condition or quality of being imperfect 2. a fault or defect

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    Topics ofImperfection

    y I. Point defects: vacancies and self-interstitials,impurities

    y II. Solid solutions: substitutional and interstitial,alloy composition and densities.

    y III. Dislocations: edge, screw, dislocation motion,and Burgers vector.

    y IV. Grain boundaries: tilt and twist boundaries,surfaces and interfaces, twins boundaries.

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    I. Point Defects

    y Vacancies and self-interstitials

    So, Vacancies is when there is an atom missing.

    Resulting to porous Solid lattice.

    Self-Interstitials are atoms that are crowded into the little voidspaces among the other atoms.

    Results to large distortions in the lattice.

    There is no Vacancy/Self-Interstitals free Solid.

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    I. Point Defects

    y Vacancies and self-interstitials

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    I. Point Defects

    y Vacancies and self-interstitials

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    I. Point Defects

    y Impurities

    Alloys, The impurity in a solid is not always somethingnegative:

    Adding the atoms of other Substance, means we can use specificcharacteristic of the metal, too.

    Exp: To a soft Silver we can add Copper. So the Silver can beStrong but still corrosion resistant.

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    I. Point Defects

    We can calculate the equlibrium number of vacancies:

    !

    kT

    QNN vv exp

    Nv = No. of vacancies

    N = Total No. of lattice sites

    k= Boltzmann constant

    T = Temperature in Kelvin

    Qv = Activation energy to create vacancy

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    S U BS T IT U T IO N A L A N D I N T E R ST I T IA L ,A L L O Y C O M P O S I T I O N A N D D E N S I T I E S .

    II. Solid solutions

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    II. Solid solutions

    y Substitutional and Interstitial

    This Solid Solution will occur when there are solute atoms thatare added to the host material.

    Resulting in same crystal structure but with differentcharacteristics based on the two Solutions.

    Features that has to be fulfilled:

    Atomic Size, radii not diff. than about 15%

    Crystal Structure

    Electro negativityValences

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    II. Solid solutions

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    II. Solid solutions

    y Spec. of Composition

    We are able to calculate the composition of the alloy with thisequation for the weight percent:

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    E D G E , S C R EW, D I S L O C A T I O N M O T I O N , A N DB U R G E R S V E C T O R .

    III. Dislocations

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    III. Dislocations

    y Dislocation, def:

    An imperfection line in a crystalline material.

    y Edge:

    introduced extra half-plane into the crystal

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    III. Dislocations

    y Screw:

    Formed by Shear Stress, which will form distortion.

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    III. Dislocations

    The combination of these two is usually called mixeddislocations.

    The magnitude of the dislocation is stated with (b). Which isalso called the Burgers Vector.

    Some Properties:

    - Plastic Deformation: Irreversible deformation or change inshape that occurs when the force or stress that caused it is

    removed.- Elastic Deformation: Deformation will be fully recovered when

    the stress causing it is removed.

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    T I L T A N D TWI S T B O U N D A R I E S , S U R F A C E S A N D I N T E R F A C E S , TWI N S B O U N D A R I E S .

    IV. Grain boundaries

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    IV. Grain boundaries

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    IV. Grain boundaries

    y Tilt Boundary:

    Having an Angle ofmisalignment:

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    IV. Grain boundaries

    Phase Boundary:

    Having diff. Phases, eachphase has its own physical/ChemicalProperties.

    Twin Boundary:

    Atoms on one side of the boundary is the mirror image of theatoms on the other side.

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    IV. Grain boundaries

    Bulkor Volume Defects

    Pores, Cracks, Foreign Inclusions

    Introduced by Processing and Fabrication Steps

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    IV. Grain boundaries

    Atomic Vibrations

    Can be called imperfection because not all Atoms are vibrating inthe same speed or same energy.

    Many Properties are based on this vibration.

    Exp: Melting occurs if the vibrations are vigorous enough torupture large numbers ofAtomic Bonds.

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    IV. Grain boundaries

    y Change of Properties:

    Mech:

    Boundaries are good places for fracture to occur

    Boundaries interrupt the movement of dislocations

    Electrical:

    Good places to scatter electrons or inhibit their movement

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    References:

    Callister - Materials Science and Engineering - An Introduction 7e(Wiley, 2007)

    http://www.substech.com/dokuwiki/lib/exe/fetch.php?w=&h=&cache=cache&media=point_defects.png

    www.material.itb.ac.idmse.stanford.edu