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Centrifugation
Contents
1. Definition
2. Classification
3. Composition
4. Relative force & application
Centrifugation
 Use of the centrifugal force for the
separation of mixtures
 More-dense components migrate away
from the axis of the centrifuge
 less-dense components of migrate
towards the axis
Classification
75000rpm75000rpm 20000~25000rpm20000~25000rpm 3000rpm3000rpm
Ultra-
centrifuge
High
speed
centrifuge
Desk top
centrifuge
Desk top clinical centrifuges
 Simplest
 Least expensive
 Maximum speed is below 3000rpm
 Ambient temperature
High-speed centrifuges
 Speeds of 20000 to 25000rpm
 Equipped with refrigeration equipment
Refrigerated
high-speed
centrifuge
Continuous
flow
centrifuge
High speed
centrifuges
Continuous flow centrifuge
 Relatively simple
 High capacity
 Separating mixed liquids^
Refrigerated high-speed
centrifuge
 Lower capacity
 Collect microorganisms O
cellular debris O
cells O
large cellular organelles O
ammonium sulfate precipitates O
immunoprecipitates O
viruses X
small organells X
Refrigerated high-speed
centrifuge
The ultracentrifuge
 Attain the speed of 75000rpm
 Isolate viruse
DNA
RNA
protein
Composition
 Centrifuge consist of four parts:
1.Drive and speed control
2.Temperature control
3.Vacuum system
4.Rotors
Drive & Speed control
 Drive: water-cooled electric motor
 Speed control:
1.selected by rheostat
2.monitored with a tachometer
Overspeed system
 Prevent operation of a rotor above its
maximum rated speed
 Consist of ^
1.a ring of alternating reflecting and
nonreflecting surfaces attached to the
bottom of the rotor.
2.a small but intense point source of
light
3.a photocell
Temperature control
 highspeed centrifuge:
placing a thermocouple in the rotor chamber
monitoring only the rotor chamber temperature
 Ultracentrifuge:
an infrared radiometric sensor placed beneath
the rotor
continuously monitors the rotor temperature
Vacuum system
 The speed of centrifuge < 15000 to
20000rp Not required
 The speed of centrifuge > 4000rpm
Required
Rotors
 Two types: angle rotor
swinging bucket rotor
Angle rotor:
Consist of a solid piece of metal with 6 to 12
holes
At an angle between 20° and 45°
Swinging bucket rotor:
Hang three to six free moving buckets
Relative centrifugal force
 Object moving in circle at a steady angular
velocity → an outward directed force F
 Depend on ω ,and r
F = ω2
r
 F is expressed in terms of the earth’s
gravitational force, referred to as the
relative centrifugal force , RCF (× g)
RCF = ω2
r / 980
 To be of use, these relationships must be
expressed in terms of “revolutions per
minute” , rpm
 Rpm values may be converted to radians
ω = π (rpm) /30 & F = ω2
r
→ RCF = (π (rpm) /30)2
× r/ 302
/980
=(1.119 ×10-5
)(rpm)2
r
So, RCF is related to r
The sample is located at a fixed
distance r
The problem is illustrated in the
following example
Example
 Calculate the RCF exerted at the top an
bottom of a sample vessel spinning in a
fixed angle rotor.^ Assume that the rotor
dimensions , rmin and rmax , are 4.8 and 8.0cm
, spinning at a speed of 12000rpm.
 Calculate RCFtop and RCFbottom
 Centrifugal force exerted at the top and
bottom of the sample tube differs by nearly
twofold
 To account for this , RCF values may be
expressed as an average RCF
value(RCFave)
RCFave = (1.119 ×10-5
)(12000)2
6.4
=10313 × g
Application
 Zone Centrifugation or Sedimentation
velocity
 Isopycnic Centrifugation or Sedimentation
equilibrium
Sedimentation velocity
 v =dr / dt = Φ(ρp - ρm) ω2
r /f
r(cm), the distance from the axis of rotation
to the sedimenting particle or molecule
Φ(cm3
), volume of the particle
ρp(g/cm3
), the density of the particle
ρ m(g/cm3
), the density of the medium
f(g/sec), the frictional coefficient
v(cm/sec), the radial velocity of
sedimentation of the particle
Sedimentation coefficient
 s = (dr / dt) • (1 / ω2
r)
Or s = Φ (ρp-ρm) f
S(s), unit:10-13
seconds
18 ×10-13
seconds = 18s
Frictional coefficient
 f = 6 πηrm
rm (cm), the molecule or particle radius
η(g/cm•sec) , the viscosity of the medium in
poises
 So, the rate of sedimentation is governed
by the size, shape, and density of the
sedimenting particle or molecule, as well
as by the viscosity and density of the
medium
 Most often the sedimentation coefficient is
corrected to the value that would be
obtained in a medium with a density and
viscosity of water at 20℃
 S20 , w = st,m • ηt,m(ρp- ρ20,w)/ η20,w (ρp- ρt,m)
st,m, the uncorrected sedimentation coefficient determined in medium m,
and temperature t
ηt,m , the viscosity of the medium at the temperature of centrifugation
η20,w ,the viscosity of water at 20℃
ρp ,the density of the particle or molecule in solution
ρt,m , the density of the medium at the temperature of centrifugation
ρ20,w , the density of water at 20℃
Time
 s = (dr / dt) • (1 / ω2
r)
→ s = (lnrt –lnro) / (ω2
(tt –t0))
→ tt –t0 = 1/s • (lnrt –lnro) / ω2
=Δt
rt , the radii at the top of the spinning centrifuge tube
r0 , the radii at the bottom of the spinning centrifuge tube
Δt is the time required to bring about total sedimentation or
pelleting of the sedimenting species
The density gradient
 The solution is most dense at the bottom
of the tube and decreases in density up to
the top of the tube.
 Two major types of techniques are
commonly used:
1.Zone centrifugation
2.Isopycnic centrifugation
Example^
 One method for further purifying fractions
is equilibrium density-gradient
centrifugation, which separates cellular
components according to their density
at a high speed (about
40,000 rpm) for several
hours
Testube
table
Sedimentation
velocity
Sedimentation
equilibrium
synonym Zone centrifugation Isopycnic , equilibrium density-
gradient centrifugation
gradient Shallow, stabilizing –
maximum gradient density
below that of least dense
sedimenting species
Steep – maximum gradient
density greater than that of
most dense sedimenting
species
centrifugation Incomplete sedimentation ,
Short time ,
Low speed
Complete sedimentation to
equilibrium position,
Prolonged time ,
High speed
Sedimentation velocity
 Maximum gradiet density < the least dense
sedimenting species
 During centrifugation sedimenting material
moves through the gradient at a rate
determined by its sedimentation coefficient
 It is important to terminate centrifugation
before the first species reaches the bottom
of the tube
 This method works well for species that
differ in size but not in density
Sums to be prepare
Sedimentation equilibrium
 Allowing the sedimenting species to move through the
gradient until they reach a point
 no further sedimentation occurs because they are floating
on a “cushion” of material that has a density greater than
their own
 Maximum gradient density > the most dense sedimenting
species
 prolonged periods and at relatively higher speeds
 This technique is used to separate particles similar in size
but of differing densities
SUN WEI
Pharmacy of woosuk university
sunwei880709@hotmail.com

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Centrifugation

  • 2. Contents 1. Definition 2. Classification 3. Composition 4. Relative force & application
  • 3. Centrifugation  Use of the centrifugal force for the separation of mixtures  More-dense components migrate away from the axis of the centrifuge  less-dense components of migrate towards the axis
  • 5. Desk top clinical centrifuges  Simplest  Least expensive  Maximum speed is below 3000rpm  Ambient temperature
  • 6. High-speed centrifuges  Speeds of 20000 to 25000rpm  Equipped with refrigeration equipment Refrigerated high-speed centrifuge Continuous flow centrifuge High speed centrifuges
  • 7. Continuous flow centrifuge  Relatively simple  High capacity  Separating mixed liquids^
  • 8. Refrigerated high-speed centrifuge  Lower capacity  Collect microorganisms O cellular debris O cells O large cellular organelles O ammonium sulfate precipitates O immunoprecipitates O viruses X small organells X
  • 10. The ultracentrifuge  Attain the speed of 75000rpm  Isolate viruse DNA RNA protein
  • 11. Composition  Centrifuge consist of four parts: 1.Drive and speed control 2.Temperature control 3.Vacuum system 4.Rotors
  • 12. Drive & Speed control  Drive: water-cooled electric motor  Speed control: 1.selected by rheostat 2.monitored with a tachometer
  • 13. Overspeed system  Prevent operation of a rotor above its maximum rated speed  Consist of ^ 1.a ring of alternating reflecting and nonreflecting surfaces attached to the bottom of the rotor. 2.a small but intense point source of light 3.a photocell
  • 14. Temperature control  highspeed centrifuge: placing a thermocouple in the rotor chamber monitoring only the rotor chamber temperature  Ultracentrifuge: an infrared radiometric sensor placed beneath the rotor continuously monitors the rotor temperature
  • 15. Vacuum system  The speed of centrifuge < 15000 to 20000rp Not required  The speed of centrifuge > 4000rpm Required
  • 16. Rotors  Two types: angle rotor swinging bucket rotor Angle rotor: Consist of a solid piece of metal with 6 to 12 holes At an angle between 20° and 45°
  • 17. Swinging bucket rotor: Hang three to six free moving buckets
  • 18. Relative centrifugal force  Object moving in circle at a steady angular velocity → an outward directed force F  Depend on ω ,and r F = ω2 r  F is expressed in terms of the earth’s gravitational force, referred to as the relative centrifugal force , RCF (× g) RCF = ω2 r / 980
  • 19.  To be of use, these relationships must be expressed in terms of “revolutions per minute” , rpm  Rpm values may be converted to radians ω = π (rpm) /30 & F = ω2 r → RCF = (π (rpm) /30)2 × r/ 302 /980 =(1.119 ×10-5 )(rpm)2 r
  • 20. So, RCF is related to r The sample is located at a fixed distance r The problem is illustrated in the following example
  • 21. Example  Calculate the RCF exerted at the top an bottom of a sample vessel spinning in a fixed angle rotor.^ Assume that the rotor dimensions , rmin and rmax , are 4.8 and 8.0cm , spinning at a speed of 12000rpm.  Calculate RCFtop and RCFbottom
  • 22.  Centrifugal force exerted at the top and bottom of the sample tube differs by nearly twofold  To account for this , RCF values may be expressed as an average RCF value(RCFave) RCFave = (1.119 ×10-5 )(12000)2 6.4 =10313 × g
  • 23. Application  Zone Centrifugation or Sedimentation velocity  Isopycnic Centrifugation or Sedimentation equilibrium
  • 24. Sedimentation velocity  v =dr / dt = Φ(ρp - ρm) ω2 r /f r(cm), the distance from the axis of rotation to the sedimenting particle or molecule Φ(cm3 ), volume of the particle ρp(g/cm3 ), the density of the particle ρ m(g/cm3 ), the density of the medium f(g/sec), the frictional coefficient v(cm/sec), the radial velocity of sedimentation of the particle
  • 25. Sedimentation coefficient  s = (dr / dt) • (1 / ω2 r) Or s = Φ (ρp-ρm) f S(s), unit:10-13 seconds 18 ×10-13 seconds = 18s
  • 26. Frictional coefficient  f = 6 πηrm rm (cm), the molecule or particle radius η(g/cm•sec) , the viscosity of the medium in poises  So, the rate of sedimentation is governed by the size, shape, and density of the sedimenting particle or molecule, as well as by the viscosity and density of the medium
  • 27.  Most often the sedimentation coefficient is corrected to the value that would be obtained in a medium with a density and viscosity of water at 20℃  S20 , w = st,m • ηt,m(ρp- ρ20,w)/ η20,w (ρp- ρt,m) st,m, the uncorrected sedimentation coefficient determined in medium m, and temperature t ηt,m , the viscosity of the medium at the temperature of centrifugation η20,w ,the viscosity of water at 20℃ ρp ,the density of the particle or molecule in solution ρt,m , the density of the medium at the temperature of centrifugation ρ20,w , the density of water at 20℃
  • 28. Time  s = (dr / dt) • (1 / ω2 r) → s = (lnrt –lnro) / (ω2 (tt –t0)) → tt –t0 = 1/s • (lnrt –lnro) / ω2 =Δt rt , the radii at the top of the spinning centrifuge tube r0 , the radii at the bottom of the spinning centrifuge tube Δt is the time required to bring about total sedimentation or pelleting of the sedimenting species
  • 29. The density gradient  The solution is most dense at the bottom of the tube and decreases in density up to the top of the tube.  Two major types of techniques are commonly used: 1.Zone centrifugation 2.Isopycnic centrifugation
  • 30. Example^  One method for further purifying fractions is equilibrium density-gradient centrifugation, which separates cellular components according to their density at a high speed (about 40,000 rpm) for several hours
  • 32. table Sedimentation velocity Sedimentation equilibrium synonym Zone centrifugation Isopycnic , equilibrium density- gradient centrifugation gradient Shallow, stabilizing – maximum gradient density below that of least dense sedimenting species Steep – maximum gradient density greater than that of most dense sedimenting species centrifugation Incomplete sedimentation , Short time , Low speed Complete sedimentation to equilibrium position, Prolonged time , High speed
  • 33. Sedimentation velocity  Maximum gradiet density < the least dense sedimenting species  During centrifugation sedimenting material moves through the gradient at a rate determined by its sedimentation coefficient  It is important to terminate centrifugation before the first species reaches the bottom of the tube  This method works well for species that differ in size but not in density
  • 34. Sums to be prepare
  • 35. Sedimentation equilibrium  Allowing the sedimenting species to move through the gradient until they reach a point  no further sedimentation occurs because they are floating on a “cushion” of material that has a density greater than their own  Maximum gradient density > the most dense sedimenting species  prolonged periods and at relatively higher speeds  This technique is used to separate particles similar in size but of differing densities
  • 36. SUN WEI Pharmacy of woosuk university sunwei880709@hotmail.com