Centrifugation uses centrifugal force to separate mixtures based on density. There are several types of centrifuges that differ in maximum speed and other features. Desktop centrifuges have the lowest maximum speed below 3000rpm, while ultracentrifuges can reach speeds over 75,000rpm. Centrifuges consist of a drive motor, temperature control, vacuum, and rotors. Sedimentation velocity separates mixtures in a shallow gradient over a short time, while sedimentation equilibrium separates mixtures to their equilibrium positions in a steep gradient over prolonged high-speed centrifugation.
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
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
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属 and 45属
18. Relative centrifugal force
Object moving in circle at a steady angular
velocity an outward directed force F
Depend on ,and r
F = 2
r
F is expressed in terms of the earths
gravitational force, referred to as the
relative centrifugal force , RCF ( g)
RCF = 2
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
= (rpm) /30 & F = 2
r
RCF = ( (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
24. Sedimentation velocity
v =dr / dt = 陸(p - m) 2
r /f
r(cm), the distance from the axis of rotation
to the sedimenting particle or molecule
陸(cm3
), volume of the particle
p(g/cm3
), the density of the particle
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 / 2
r)
Or s = 陸 (p-m) f
S(s), unit:10-13
seconds
18 10-13
seconds = 18s
26. Frictional coefficient
f = 6 侶rm
rm (cm), the molecule or particle radius
侶(g/cmsec) , 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 鐚 w = st,m 侶t,m(p- 20,w)/ 侶20,w (p- t,m)
st,m, the uncorrected sedimentation coefficient determined in medium m,
and temperature t
侶t,m , the viscosity of the medium at the temperature of centrifugation
侶20,w ,the viscosity of water at 20
p ,the density of the particle or molecule in solution
t,m , the density of the medium at the temperature of centrifugation
20,w , the density of water at 20
28. Time
s = (dr / dt) (1 / 2
r)
s = (lnrt lnro) / (2
(tt t0))
tt t0 = 1/s (lnrt lnro) / 2
=t
rt , the radii at the top of the spinning centrifuge tube
r0 , the radii at the bottom of the spinning centrifuge tube
t 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
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