l6_040214

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    Powder Characterizations

    Characterizations

    Physical

    Characteristics

    Chemical

    Composition

    Phase

    Composition

    Surface

    Characteristics

    1. Particle size anddistribution

    2. Particle shape

    3. Degree of

    agglomeration

    4. Surface area

    5. Density andporosity

    6. Flow properties

    and granulation1. Major elements

    2. Minor elements

    3. Trace elements

    (AAS, AES, XRF)

    Crystal structure and

    phase

    composition

    1. Surface structure

    (LEED, STM, AFM)

    2. Surface

    composition

    (AES, XPS, ESCA,

    SIMS)

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    Physical Characterizations of Powder

    Types of Particles

    Primary particleSmallest unit in

    the powder with

    a clearly defined

    surface/isolated

    porosity

    Agglomerates

    Cluster of

    primary particles

    held together by

    surface force

    Types: Soft and

    Hard

    ParticlesSmall units that

    move as a

    separate entity

    (Coarse particle

    1-100 mm)

    Granules

    Large

    agglomerates(Dimension 100-

    1000 mm)

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    Physical Characterizations of Powder

    Types of Particles

    Flocs

    Cluster of

    particles in a

    liquid

    suspension

    Colloids

    Finely divided

    phase in a fluid

    (Brownian

    motion, negligible

    sedimentation

    under normalgravity (1 nm1

    mm)

    Aggregates

    Coarse

    constituent in a

    mixture (pebbles

    in concrete)

    (1 mm)

    Definition of Particle Size

    Stokes diameter

    Diameter of the sphere calculated fromStokes law

    Projected area diameterprojected area of the particle under

    microscope

    Feretsdiameter/Martins diameterLinear dimension

    measured parallel to some fixed direction

    (Attached sheet)

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    Physical Characterizations of Powder

    Methods for Measurement of Particle Sizes

    Method Range (m)

    Microscopy

    Optical 1

    SEM 0.1

    TEM 0.001

    Sieving 2010,000

    Sedimentation 0.1100

    Coulter counter 0.5400

    Light Scattering

    Scattering intensity 0.11000

    Brownian motion 0.0051

    X-ray line broadening 0.1

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    Physical Characterizations of Powder

    Martins Diameter (XM )- length of a line that

    bisects the area of the particle image

    Ferets Diameter (XF )- distance between two

    tangents on opposite sides of the particle,

    parallel to some fixed direction

    Projected Area Diameter (XPA )- diameter of a

    circle having the same area as the two-

    dimensional image of the particle

    Perimeter Diameter (XC )- diameter of the circle

    having the same circumference as the perimeterof the particle

    The longest dimension is equal to the maximum

    value of Ferets diameter

    Measurement of Particle Size by Microscopy

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    Physical Characterizations of Powder

    Methods for Measurement of Particle Sizes

    Method Range (m)

    Microscopy

    Optical 1

    SEM 0.1

    TEM 0.001

    Sieving 2010,000

    Sedimentation 0.1100

    Coulter counter 0.5400

    Light Scattering

    Scattering intensity 0.11000

    Brownian motion 0.0051

    X-ray line broadening 0.1

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    Physical Characterizations of Powder

    Measurement of Particle Size and Size Distribution by Sieving

    Mesh size= the number of wires per

    linear inch of the sieve screen, which is

    the same as the number of square

    apertures per inch.

    If mesh number = M, aperture width = a,

    wire diameter = w, and the open area =

    A, then:

    wa

    M

    1

    wM

    a 1

    2

    2

    2

    )()(

    Mawa

    aA

    Problem: Find out the wire diameter

    and open area of a 400 mesh sieve

    with an aperture of 38 mm?

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    Physical Characterizations of Powder

    Methods for Measurement of Particle Sizes

    Method Range (m)

    Microscopy

    Optical 1

    SEM 0.1

    TEM 0.001

    Sieving 2010,000

    Sedimentation 0.1100

    Coulter counter 0.5400

    Light Scattering

    Scattering intensity 0.11000

    Brownian motion 0.0051

    X-ray line broadening 0.1

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    Physical Characterizations of Powder

    Measurement of Particle Size and Size Distribution by Sedimentation

    Stokess Law,

    avF 6F = Frictional force

    acting on the particle,

    = Liquid viscosity,

    a = particle radius

    v = terminal velocity

    Stokess Equation,

    2/1

    18

    gddvxLs

    x = diameter of the

    particle with sphere

    shape,

    ds = particle densitydL = liquid density

    For non spherical particle,

    Limitations

    1. Holds good for laminar (non-turbulent) flow

    2. No inter-particle collision

    3. No interactions between the particles

    STKxx

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    Laminar to turbulent flow occurs at some critical velocity,

    2.0~

    xd

    N

    v L

    R

    c

    2.0

    xvdL

    2.0xvdL

    NR= Reynolds Number

    Laminar Flow

    Turbulent Flow

    The particle size distribution is determined by measuring

    the change in concentration (or density) of the suspension as a function

    of time, height along the suspension, or both.

    A light beam or an x-ray beam is projected at a known height through a

    glass cell containing the suspension.

    The intensity of the transmitted beam is measured by a photocell or an

    x-ray detector located at the opposite side.

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    The intensity I of thetransmitted beam will increase as,

    )exp(0 KACyII I0= Intensity of the incident beam

    K = Extinction coefficient

    A = Projected area per unit mass of the

    particle

    C = Concentration by mass of the particle

    y = Optical path length through the

    suspension

    The particle size distribution [e.g., the cumulative mass percent finer

    (CMPF) versus the Stokes diameter] is deconvoluted from the measured intensityratio, I/Io, coupled with Stokes Eq.

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    Physical Characterizations of Powder

    Methods for Measurement of Particle Sizes

    Method Range (m)Microscopy

    Optical 1

    SEM 0.1

    TEM 0.001

    Sieving 2010,000

    Sedimentation 0.1100

    Coulter counter 0.5400

    Light Scattering

    Scattering intensity 0.11000

    Brownian motion 0.0051

    X-ray line broadening 0.1

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    Physical Characterizations of Powder

    Measurement of Particle Size and Size Distribution by Coulter Counter

    As a particle passes through the orifice,

    it displaces an equivalent volume of the

    electrolyte and causes a change in the

    electrical resistance, the magnitude of which

    is proportional to the volume of the particle.

    The changes in resistance are converted to

    voltage pulses, which are amplified, sized,

    and counted to produce data for the particle

    size distribution of

    the suspended particles.

    Since the number and volume of the

    particles are measured in this technique, the

    particle size distribution will consist of the

    CNPF (or CNPL) versus the volume diameter

    xV

    Disadvantage

    Blocking of the orifice by bigger particle