CENTRIFUGATION
Centrifugation
is a basic separation technique. A centrifuge is a device for separating
particles in an applied centrifugal field in a solution.
There are two
different forces act on an object moving in a circular motion.
Centrifugal force:
Force
directed outward from the center. E.g. While
turning a bus in twist way, the passengers strike on the bus wall is due to
centrifugal force.
Centripetal
force:
The
force exerted towards the center is now as centripetal force. E.g. the force acts
on passengers by the turning car.
Now, suppose
a particle is exerted to sediment by centrifugal force, then
The rate or
velocity at which it sediments is proportional to the force applied
- Sedimentation
is more rapid when the force applied is greater than the gravitational
force of the Earth
- Basis of
separation is to exert a larger force than does the Earth’s gravitational
force.
Basic
Principle of Sedimentation
The
particles to be separated are suspended in a specific liquid media, held in
tubes or bottles which are located in rotor in centrifuge machine, positioned
centrally to the drive shaft. These particles are differing in size, shape and
density.
As
we have already mentioned that,
The rate of
sedimentation is dependent upon the applied centrifugal field (G)
G = W2R …………………………equ
(i)
Where
W: Angular velocity of revolving particle
(Remember: one revolution of the rotor is equal to 2 radians)
R: Radial
distance from axis of rotation
In terms of revolution per minute, we have W= 2p rev min-1/ 60
Therefore:
G = W2R
It
is expressed as a multiple of the earth’s gravitational field (g=981 cm s-2).
Hence
RCF,
Relative Centrifugal Field
= G / g
=
RCF = 1.119 x 10-5(rev min-1)2 R …………………………….equ (ii)
= x g unit
(number times g)
It
means, RCF is the ratio of the weight of the particle in the applied
centrifugal field to the weight of the same particle when acted by gravity
alone. Therefore the rotor speed, radial dimensions and time of the rotor must
be quoted during the centrifugation.
However:
This
is not the only case in Biochemical experiments as biological samples are
always found in dissolved or suspended form in a solution. Thus, the rate of
sedimentation not only depends on the centrifugal field but also on
1. Mass of particle
2. Density of particle
3. Density and viscosity of the medium
used
4. The extent to which its shape deviates
from spherical
Now according to Newton’s Second law of Motion, the centrifugal force (F) exerted on particle is
= M. a
= M. W2R
……………………………….equ
(iii)
Where:
M: mass of
particle
a:
acceleration while in angular motion= W2R
Increasing
the sharpness of a turn, w and r decreases. Since r is linear, w has greater
effect on the particle.
It
causes the molecules to sediment down the centrifuge tube. They start to move
downward to sediment; however they encounter opposing force, a frictional
resistance in their movement.
Frictional
force = f
= 6p. h. Rp.
) ……………………………equ (iv)
Where:
f: Frictional force
dr/dt: Rate
of sedimentation expressed as the change in radius with time (velocity v)
h: Viscosity coefficient of medium
Rp: Radius
of sedimenting particle
The
sedimenting molecule must also displace the solvent into which it sediments and
give rise to a buoyant force
Buoyant force =
mass x a
= V. dm W2R ……………………..equ (v)
Where:
V: Specific volume of the molecule
dm: Density of
the medium
While
sedimenting, the velocity of the particle increases until it equals the
frictional force resisting its motion through the medium. This is an
equilibrium state when the particles stop to move or sediment. From equations
iii, iv and v.
Centrifugal force =
Frictional force + Buoyant force
M. W2R =
6p. h. Rp.
) + V. dm W2R
v =
h Rp2 (dp - dm) W2R ……………………………..equ
(vi)
Where:
dr/dt: v, is
the velocity of the sedimenting particle
Mass: Density x Volume
dp: Density of particle
dm: Density of
medium
From above equation, it seems clear that velocity is proportional to its size, to the differences in density between the particle and medium and to the applied centrifugal field. It is zero when the density of the particle and medium are equal. It decreases when the viscosity of the medium increases.
Since the Rp is in square form, the size of particle has greater influence on velocity.
For
a particle, h, Rp, dp, dm and W all are
constants
t =
In
Where
t: The sedimentation time in seconds
Rt: Radial distance from the axis of rotation
to liquid meniscus
Rb: Radial
distance from the axis of rotation to bottom of tube
It is now clear that a mixture of heterogeneous approximately spherical particles can be separated by centrifugation on the basis of their densities, their sizes and etc.
t µ
It means, higher the size particles, faster is the sedimentation (Short time for sedimentation) of it and smaller the size slower is the sedimentation (takes longer time).
CENTRIFUGATION: RCF CALCULATION
The relative centrifugal force (RCF) can be calculated from
the following equation:
RCF = (1.119 x 10-5) (rpm)2(r)
Where rpm is the speed of rotation expressed in revolutions per
minute and r (radius) is the distance from the axis expressed in cm. The RCF
units are "x g" where g represents the force of gravity. RCF
can also be determined from the NOMOGRAPH
below. Place a straight edge to intersect the radius and the desired RCF to
calculate the needed rpm. Alternatively place the straight edge on the radius
and the rpm to calculate the g-force. For example, spinning a sample at 2500
rpm in a rotor with a 7.7 cm radius results in a RCF of 550 x g.
Figure 1: Nomograph
showing relationship between RCF, RPM and Radius
Centrifuges and their uses
Centrifuges and their uses
1.
Low Speed Centrifuge
·
Least expensive and simplest in many design
·
Maximum rotor speed of 4000-6000rpm (3000-7000 X g)
a) Small
bench centrifuges
·
To collect small amounts of materials (250mm3) that is
rapidly sediment (1-2 min)
·
No special cooling system
·
Ambient air flows around the rotor to cool the system
·
Use to rapid sedimentation of blood samples
b) Large
capacity refrigerated centrifuges
·
Refrigerated rotor chambers for cooling the sample
·
Large volumes 10, 50 and 100 cm3 processing depending
upon the rotors and tubes
·
Maximum capacity of 1.25 dm3
·
Rotors are mounted on a rigid suspension
·
Erythrocytes, coarse or bulky precipitates, yeast cells, nuclei
and chloroplasts
2. Microcentrifuge
·
Maximum rotor speed of 12000rpm with RCF of 10000g
·
Have total capacity of 1.5ml over very short time (0.05-5 min)
·
Use to sediment large particles like cell ppt
3. High speed refrigerated centrifuge
·
Maximum rotor speed of 25000rpm with RCF of 60000g
·
Have total capacity of 1.25 dm3
·
Interchangeable fixed angle and swinging buckets rotors
·
Use to collect microorganisms, cellular debris, larger cellular
organelles and proteins precipitates by ammonium sulphate
·
Not use for viruses and smaller organelles like ribosome
4. Continuous flow centrifuge
·
Relatively simple and high speed centrifuge
·
Special design rotor (long and tubular) with non interchangeable
system
·
Have total capacity of 1-1.25 dm3/min with continuous
flow
·
Particles sediment at wall and excess clarified medium overflows
through an outlet port
·
Use to collect bacterial and yeast cells from their mass culture
of about 100-500 dm3
5. Ultracentrifuge
·
Powerful with speed
·
2 types
a) Preparative ultracentrifuge
- Maximum rotor speed of 30000-80000 rpm
with RCF of 600000 x g
- Highly sophisticated with refrigerated,
sealed and evacuated to minimize excess heat generate
- More sophisticated temperature
monitoring system employing an infrared temperature sensor
- Overspeed control system to prevent
operation of rotor above its max rated speed
- Vibration minimize system (a flexible
drive shaft system) during unequal loading of the centrifuge tubes
- Enclosed in heavy armour plating
- Airfuse for some biochemical
applications requiring high centrifugal force
- Use for sediment macromolecule/ligand
binding kinetic studies, steroid hormone receptor assays, separation of
major lipoprotein from plasma and deproteinisation of physiological
fluids for amino acid analysis
b) Analytical ultracentrifuge
- Maximum rotor speed of 70000 rpm with
RCF of 500000 x g
- Highly protective chambers with
refrigerated and evacuated system also have an optical system to enable
the sedimenting material to be observed throughout the process.
- Three types of optical system, a light
absorption system, alternative Schlieren system and Rayleigh
interferometric system (both measures refractive index of solution)