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PARTICLE SIZE
ANALYSIS
 What is a particle?
 What is the importance of particle analysis?
 Particle size analyzers measure the sizes of grains or particles
in a sample. They use methods such as light scattering,
sedimentation, laser diffraction etc to calculate particle sizes.
Particle size analyzers can measure the sizes of many
particles in a sample very quickly and can provided data on
particle size distributions, which is of value to many
industries.
 Why to measure particle size of particles???
 Particle size can affect
 Final formulation: performance, appearance, stability
 “Processability” of powder
Methods for determining particle size
 Microscopy
 Sieving
 Sedimentation techniques
 Optical and electrical sensing zone method
 Laser light scattering techniques
Choosing a method for particle
 Nature of the material to be sized, e.g.
 Estimated particle size and particle size range
 Solubility
 Ease of handling
 Toxicity
 Flowability
 Intended Use
 Cost
 Capital
 Running
 Specification requirements
 Time restrictions
Microscopy
 Optical microscopy (1-150µm)
 Electron microscopy (0.001µ)
 Being able to examine each particle individually has led to
microscopy being considered as an absolute measurement of
particle size.
 Can distinguish aggregates from single particles
 When coupled to image analysis computers each field can be
examined, and a distribution obtained.
 Number distribution
 Most severe limitation of optical microscopy is the depth of focus
being about 10µm at x100 and only 0.5µm at x1000.
 With small particles, diffraction effects increase causing blurring at
the edges - determination of particles < 3µm is less and less certain.
 For submicron particles it is necessary to use
either
 TEM (Transmission Electron Microscopy) or
 SEM (Scanning Electron Microscopy).
 TEM and SEM (0.001-5µm)
Manual Optical Microscopy
Advantages
• Relatively inexpensive
• Each particle individually
examined - detect
aggregates, 2D shape,
color , melting point etc.
• Permanent record -
photograph
• Small sample sizes
required
Disadvantages
• Time consuming - high
operator fatigue - few
particles examined
• Very low throughput
• No information on 3D
shape
• Certain amount of
subjectivity associated
with sizing - operator
bias
Transmission and Scanning Electron Microscopy
Advantages
 Particles are individually
examined
 Visual means to see sub-
micron specimens
 Particle shape can be
measured
Disadvantages
 Very expensive
 Time consuming sample
preparation
 Materials such as
emulsions
difficult/impossible to
prepare
 Not for routine use
Sieving
Sieve analysis is performed using a nest or stack of
sieves where each lower sieve has a smaller aperture
size than that of the sieve above it.
 Sieves can be referred to either by their aperture size
or by their mesh size (or sieve number).
 The mesh size is the number of wires per linear inch.
 Approx. size range : 5µm - ~3mm
 Standard woven wire sieves
 Electroformed micromesh sieves at the lower end or
range (< 20µm)
 Punch plate sieves at the upper range.
British Pharmacopoeia
The degree of fineness of a powder may be expressed by reference to sieves t
hat comply with the specifications for non-analytical sieves.
Where the degree of fineness of powders is determined by sieving, it is defin
ed in relation to the sieve number(s) used either by means of the following t
erms or, where such terms cannot be used, by expressing the fineness of the
powder as a percentage m/m passing the sieve(s) used.
The following terms are used in the description of powders:
Coarse powder: Not less than 95% by mass passes through a number
1400 sieve and not more than 40 % by mass passes through a number 355
sieve.
Moderately fine powder: Not less than 95% by mass passes through a
number 355 sieve and not more than 40% by mass passes through a number
180 sieve.
Fine powder: Not less than 95% by mass passes through a number 180
sieve and not more than 40% by mass passes through a number 125 sieve.
 Sieving may be performed wet or dry; by machine
or by hand, for a fixed time or until powder passes
through the sieve at a constant flow rate
 Wet sieving
 Air-jet sieving
 Weight distribution
Sieving
Advantages
 Easy to perform
 Wide size range
 Inexpensive
Disadvantages
 Known problems of
reproducibility
 Wear/damage in use or
cleaning
 Irregular/agglomerated
particles
 Rod-like particles :
overestimate of under-
size
 Labour intensive
Sedimentation techniques
 Methods depend on the fact that the terminal velocity of
a particle in a fluid increases with size.
Stokes's diameter (dst) is defined as the diameter of the
sphere that would settle at the same rate as the particle
The particle size distribution of fine powder can be dete
rmined by examining a sedimenting suspension of
 the powder.
If the particles are falling in the viscous fluid by their own weight
due to gravity, then a terminal velocity, also known as the settling
velocity, is reached when this force combined with the buoyant
force exactly balance the gravitational force. The resulting settling
velocity (or terminal velocity) is given by:[2]
where:
vs is the particles' settling velocity (m/s) (vertically downwards if
ρp > ρf, upwards if ρp < ρf ),
g is the gravitational acceleration (m/s2),
ρp is the mass density of the particles (kg/m3), and
ρf is the mass density of the fluid (kg/m3).
Andreasen Pipette
 Size distribution is determined by allowing a homogeneous
suspension to settle in a cylinder and taking samples from the
settling suspension at a fixed horizontal level at different intervals
of time.
 Each sample will contain a representative sample of the suspension,
with the exception of particles greater than a critical size, all of
which will have settled below the level of the sampling point.
 The concentration of solid in a sample taken at time t is determined
by centrifugation of the sample followed by drying and weighing .
 This concentration expressed as a percentage of the initial
concentration gives the percentage (w/w) of particles whose falling
velocities are equal to or less than h/t. Substitution in the equation
above gives the corresponding Stokes' diameter.
Andreasen pipette
Advantages
 Equipment required can be relatively simple and
inexpensive.
 Can measure a wide range of sizes with
considerable accuracy and reproducibility.
Disadvantages
 Sedimentation analyses must be carried out at
concentrations which are sufficiently low for interactive
effects between particles to be negligible so that their
terminal falling velocities can be taken as equal to those of
isolated particles.
 Large particles create turbulence, are slowed and are
recorded undersize.
 Careful temperature control is necessary to suppress
convection currents.
 The lower limit of particle size is set by the increasing
importance of Brownian motion for progressively smaller
particles.
 Particle re-aggregation during extended measurements.
 Particles have to be completely insoluble in the
suspending liquid.
The Air Elutriator
 In the air elutriator particles are ejected from a small
fluidised bed into a flow of air and carried over into a
collecting vessel where they can be periodically
removed and weighed. The air velocity is increased
incrementally so that larger and larger particles are
carried over. The maximum size carried over at any
air velocity can be calculated from Stoke's law.
The Air Elutriator
Electrical sensing zone method – Coulter
Counter
Instrument measures particle volume which can be
expressed as dv : the diameter of a sphere that has the
same volume as the particle.
 The number and size of particles suspended in an
electrolyte is determined by causing them to pass
through an orifice an either side of which is immersed
an electrode.
 The changes in electric impedance (resistance) as
particles pass through the orifice generate voltage
pulses whose amplitude are proportional to the
volumes of the particles.
 Volume distribution
Coulter counter method
Laser diffraction
 Particles pass through a laser beam and the light
scattered by them is collected over a range of
angles in the forward direction.
 The angles of diffraction are, in the simplest case inversely
related to the particle size.
 The particles pass through an expanded and collimated laser
beam in front of a lens in whose focal plane is positioned a
photosensitive detector consisting of a series of concentric
rings.
 Distribution of scattered intensity is analysed by computer to
yield the particle size distribution.
 Advantages:
 Non-intrusive : uses a low power
laser beam
 Fast : typically <3minutes to take
a measurement and analyse.
 Precise and wide range - up to 64
size bands can be displayed
covering a range of up to
1000,000:1 in size.
 Absolute measurement, no
calibration is required. The
instrument is based on
fundamental physical properties.
 Simple to use
 Highly versatile
Disadvantages:
expense
volume measurement all other
outputs are numerical
transformations of this basic
output form, assuming spherical
particles
must be a difference in refractive
indices between particles and
suspending medium
PCS(photon corelation spectroscopy)
 Large particles move more slowly than small particles, so that the rate
of fluctuation of the light scattered from them is also slower.
 PCS uses the rate of change of these light fluctuations to determine the
size distribution of the particles scattering light.
 Comparison of a "snap-shot" of each speckle pattern with another taken
at a very short time later (microseconds).
 The time dependent change in position of the speckles relates to the
change of position of the particles and hence particle size.
 The dynamic light signal is sampled and correlated with itself at
different time intervals using a digital correlator and associated
computer software.
 The relationship of the auto-correlation function obtained to time
intervals is processed to provide estimates of the particle size
distribution.
PCS
 ADVANTAGES:
 When the particle is
asymmetrical, the intensity
of scattered light varies with the
angle of observation,permitting
an estimation of the shape & size
of particle.
 light scattering has been used to
study proteins,
syntheticpolymers, association
colloids & lyophobic sols.
 this method is applicable for
measuring the particle size
ranging from 5nm to approx
3µm.
 DISADVANTAGES:
 PCs however cannot
characterize systems having
broadly distributed particles.
 Vibration, temperature
fluctuations can interfere with
analysis
 Restricted to solid in liquid or
liquid in liquid samples
 Expense
 Need to know R.I. values and
viscosity
Comparison of Different Methods
The method used to determine size distribution will depend on
many factors;
the coarseness of the material, the precision required, time
available, equipment available. One thing which is important to
remember is that in most cases size distributions are not
reproducible using different techniques. Thus sieve analysis will
not produce the same mean particle diameter as a Coulter counter.
This is partly due to the different methods measuring different
types of diameter (see above). Some devices will calculate
distributions based on area, volume etc which can aid
comparisons. However in general only measurements using the
same equipment should be compared directly. The method used
will also depend on the purpose of the measurement, for example
sometimes the amount of under or oversize in a sample is
important, in which case a single sieve may give the required
information.
REFERENCES
-Unit Operations of Chemical Engineering.
by McCabe & Smith
-Mass Transfer Operations
by Treybal
-Particle-Size-Analysis-pptx.pptx

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-Particle-Size-Analysis-pptx.pptx

  • 2.  What is a particle?  What is the importance of particle analysis?
  • 3.  Particle size analyzers measure the sizes of grains or particles in a sample. They use methods such as light scattering, sedimentation, laser diffraction etc to calculate particle sizes. Particle size analyzers can measure the sizes of many particles in a sample very quickly and can provided data on particle size distributions, which is of value to many industries.  Why to measure particle size of particles???  Particle size can affect  Final formulation: performance, appearance, stability  “Processability” of powder
  • 4. Methods for determining particle size  Microscopy  Sieving  Sedimentation techniques  Optical and electrical sensing zone method  Laser light scattering techniques
  • 5. Choosing a method for particle  Nature of the material to be sized, e.g.  Estimated particle size and particle size range  Solubility  Ease of handling  Toxicity  Flowability  Intended Use  Cost  Capital  Running  Specification requirements  Time restrictions
  • 6. Microscopy  Optical microscopy (1-150µm)  Electron microscopy (0.001µ)  Being able to examine each particle individually has led to microscopy being considered as an absolute measurement of particle size.  Can distinguish aggregates from single particles  When coupled to image analysis computers each field can be examined, and a distribution obtained.  Number distribution  Most severe limitation of optical microscopy is the depth of focus being about 10µm at x100 and only 0.5µm at x1000.  With small particles, diffraction effects increase causing blurring at the edges - determination of particles < 3µm is less and less certain.
  • 7.
  • 8.  For submicron particles it is necessary to use either  TEM (Transmission Electron Microscopy) or  SEM (Scanning Electron Microscopy).  TEM and SEM (0.001-5µm)
  • 9. Manual Optical Microscopy Advantages • Relatively inexpensive • Each particle individually examined - detect aggregates, 2D shape, color , melting point etc. • Permanent record - photograph • Small sample sizes required Disadvantages • Time consuming - high operator fatigue - few particles examined • Very low throughput • No information on 3D shape • Certain amount of subjectivity associated with sizing - operator bias
  • 10. Transmission and Scanning Electron Microscopy Advantages  Particles are individually examined  Visual means to see sub- micron specimens  Particle shape can be measured Disadvantages  Very expensive  Time consuming sample preparation  Materials such as emulsions difficult/impossible to prepare  Not for routine use
  • 11. Sieving Sieve analysis is performed using a nest or stack of sieves where each lower sieve has a smaller aperture size than that of the sieve above it.  Sieves can be referred to either by their aperture size or by their mesh size (or sieve number).  The mesh size is the number of wires per linear inch.  Approx. size range : 5µm - ~3mm  Standard woven wire sieves  Electroformed micromesh sieves at the lower end or range (< 20µm)  Punch plate sieves at the upper range.
  • 12. British Pharmacopoeia The degree of fineness of a powder may be expressed by reference to sieves t hat comply with the specifications for non-analytical sieves. Where the degree of fineness of powders is determined by sieving, it is defin ed in relation to the sieve number(s) used either by means of the following t erms or, where such terms cannot be used, by expressing the fineness of the powder as a percentage m/m passing the sieve(s) used. The following terms are used in the description of powders: Coarse powder: Not less than 95% by mass passes through a number 1400 sieve and not more than 40 % by mass passes through a number 355 sieve. Moderately fine powder: Not less than 95% by mass passes through a number 355 sieve and not more than 40% by mass passes through a number 180 sieve. Fine powder: Not less than 95% by mass passes through a number 180 sieve and not more than 40% by mass passes through a number 125 sieve.
  • 13.  Sieving may be performed wet or dry; by machine or by hand, for a fixed time or until powder passes through the sieve at a constant flow rate  Wet sieving  Air-jet sieving  Weight distribution
  • 14.
  • 15. Sieving Advantages  Easy to perform  Wide size range  Inexpensive Disadvantages  Known problems of reproducibility  Wear/damage in use or cleaning  Irregular/agglomerated particles  Rod-like particles : overestimate of under- size  Labour intensive
  • 16. Sedimentation techniques  Methods depend on the fact that the terminal velocity of a particle in a fluid increases with size. Stokes's diameter (dst) is defined as the diameter of the sphere that would settle at the same rate as the particle The particle size distribution of fine powder can be dete rmined by examining a sedimenting suspension of  the powder.
  • 17. If the particles are falling in the viscous fluid by their own weight due to gravity, then a terminal velocity, also known as the settling velocity, is reached when this force combined with the buoyant force exactly balance the gravitational force. The resulting settling velocity (or terminal velocity) is given by:[2] where: vs is the particles' settling velocity (m/s) (vertically downwards if ρp > ρf, upwards if ρp < ρf ), g is the gravitational acceleration (m/s2), ρp is the mass density of the particles (kg/m3), and ρf is the mass density of the fluid (kg/m3).
  • 18. Andreasen Pipette  Size distribution is determined by allowing a homogeneous suspension to settle in a cylinder and taking samples from the settling suspension at a fixed horizontal level at different intervals of time.  Each sample will contain a representative sample of the suspension, with the exception of particles greater than a critical size, all of which will have settled below the level of the sampling point.  The concentration of solid in a sample taken at time t is determined by centrifugation of the sample followed by drying and weighing .  This concentration expressed as a percentage of the initial concentration gives the percentage (w/w) of particles whose falling velocities are equal to or less than h/t. Substitution in the equation above gives the corresponding Stokes' diameter.
  • 20. Advantages  Equipment required can be relatively simple and inexpensive.  Can measure a wide range of sizes with considerable accuracy and reproducibility.
  • 21. Disadvantages  Sedimentation analyses must be carried out at concentrations which are sufficiently low for interactive effects between particles to be negligible so that their terminal falling velocities can be taken as equal to those of isolated particles.  Large particles create turbulence, are slowed and are recorded undersize.  Careful temperature control is necessary to suppress convection currents.  The lower limit of particle size is set by the increasing importance of Brownian motion for progressively smaller particles.  Particle re-aggregation during extended measurements.  Particles have to be completely insoluble in the suspending liquid.
  • 22. The Air Elutriator  In the air elutriator particles are ejected from a small fluidised bed into a flow of air and carried over into a collecting vessel where they can be periodically removed and weighed. The air velocity is increased incrementally so that larger and larger particles are carried over. The maximum size carried over at any air velocity can be calculated from Stoke's law.
  • 24. Electrical sensing zone method – Coulter Counter Instrument measures particle volume which can be expressed as dv : the diameter of a sphere that has the same volume as the particle.  The number and size of particles suspended in an electrolyte is determined by causing them to pass through an orifice an either side of which is immersed an electrode.  The changes in electric impedance (resistance) as particles pass through the orifice generate voltage pulses whose amplitude are proportional to the volumes of the particles.  Volume distribution
  • 25.
  • 27. Laser diffraction  Particles pass through a laser beam and the light scattered by them is collected over a range of angles in the forward direction.  The angles of diffraction are, in the simplest case inversely related to the particle size.  The particles pass through an expanded and collimated laser beam in front of a lens in whose focal plane is positioned a photosensitive detector consisting of a series of concentric rings.  Distribution of scattered intensity is analysed by computer to yield the particle size distribution.
  • 28.
  • 29.  Advantages:  Non-intrusive : uses a low power laser beam  Fast : typically <3minutes to take a measurement and analyse.  Precise and wide range - up to 64 size bands can be displayed covering a range of up to 1000,000:1 in size.  Absolute measurement, no calibration is required. The instrument is based on fundamental physical properties.  Simple to use  Highly versatile Disadvantages: expense volume measurement all other outputs are numerical transformations of this basic output form, assuming spherical particles must be a difference in refractive indices between particles and suspending medium
  • 30. PCS(photon corelation spectroscopy)  Large particles move more slowly than small particles, so that the rate of fluctuation of the light scattered from them is also slower.  PCS uses the rate of change of these light fluctuations to determine the size distribution of the particles scattering light.  Comparison of a "snap-shot" of each speckle pattern with another taken at a very short time later (microseconds).  The time dependent change in position of the speckles relates to the change of position of the particles and hence particle size.  The dynamic light signal is sampled and correlated with itself at different time intervals using a digital correlator and associated computer software.  The relationship of the auto-correlation function obtained to time intervals is processed to provide estimates of the particle size distribution.
  • 31. PCS  ADVANTAGES:  When the particle is asymmetrical, the intensity of scattered light varies with the angle of observation,permitting an estimation of the shape & size of particle.  light scattering has been used to study proteins, syntheticpolymers, association colloids & lyophobic sols.  this method is applicable for measuring the particle size ranging from 5nm to approx 3µm.  DISADVANTAGES:  PCs however cannot characterize systems having broadly distributed particles.  Vibration, temperature fluctuations can interfere with analysis  Restricted to solid in liquid or liquid in liquid samples  Expense  Need to know R.I. values and viscosity
  • 32. Comparison of Different Methods The method used to determine size distribution will depend on many factors; the coarseness of the material, the precision required, time available, equipment available. One thing which is important to remember is that in most cases size distributions are not reproducible using different techniques. Thus sieve analysis will not produce the same mean particle diameter as a Coulter counter. This is partly due to the different methods measuring different types of diameter (see above). Some devices will calculate distributions based on area, volume etc which can aid comparisons. However in general only measurements using the same equipment should be compared directly. The method used will also depend on the purpose of the measurement, for example sometimes the amount of under or oversize in a sample is important, in which case a single sieve may give the required information.
  • 33. REFERENCES -Unit Operations of Chemical Engineering. by McCabe & Smith -Mass Transfer Operations by Treybal