
Photon
correlation spectroscopy (PCS) has become
a mature and popular technology for
probing the diffusion of particulate
materials either in solution or in suspension.
By determining the rate of diffusion
(the diffusion coefficient), information
regarding the size of particles, the
conformation of macromolecular chains,
various interactions among the constituents
in the solution or suspension, and even
the kinetics of the scatterers can be
obtained without the need for calibration.
The advantages of PCS, which include
the fact that it is a non-invasive absolute
technique requiring only a small amount
of sample, and does not require extensive
sample preparation, have made this technology
the method of choice for sizing submicron
particles. An international standard
covering the use of PCS to obtain mean
particle size in a dilute suspension
has been established.
In a PCS experiment the fluctuations
(temporal variation, typically in a
µs to ms time scale) of the scattered
light from scatterers in a medium are
recorded and analyzed in correlation
delay time domain. The scatterers can
be anything that has a different refractive
index than that of the medium and are
stable throughout the duration of the
measurement. In the typical situation
the scatterers are solid particles (such
as metal oxides, mineral debris, and
latex particles) or soft particles (such
as vesicles and micelles) in suspension,
or macromolecular chains (such as synthetic
polymers and biomaterials) in solution.
The common property of these particles
probed in a PCS measurement is their
movement. This movement arises from
the random thermal motion of the medium’s
molecules (this motion, first observed
by the English botanist Robert Brown
while using an optical microscope to
observe flower pollens in water, is
known as Brownian motion), and is free
from external forces such as turbulence
or the gravitational force. The detected
scattering may be from individual particles
(single scattering), or from the multiple
scattering in a concentrated solution
or suspension. Fluctuations in the scattering
intensity at a given scattering angle
arise because the phase and polarization
of the light scattered by each particle
changes with time and the particles
continuously rearrange their configuration
in the scattering volume due to Brownian
motion. The relative positions of the
particles in the scattering volume at
any instant determine the magnitude
of constructive or destructive interference
of the scattered light at some fixed
point in space. In practice, that point
is where the detector is located. Since
the diffusion rate of particles is determined
by their sizes in a given environment,
information about their size is contained
in the rate of fluctuation of the scattered
light.
Generally speaking, the lower size limit
of this type of measurement is determined
by the detectable scattering fluctuations
of particles versus the experimental
noise. The measured scattering fluctuations
must be greater than the experimental
noise created by various sources, including
environment disturbances, temperature
fluctuations, and the inherent electronic
noise, in order to obtain an unbiased
result. The upper size limit of these
measurements is determined primarily
by the sedimentation limit. Particles
that are being analyzed must be stably
suspended. Practically, the upper size
limit in a PCS experiment is about a
few microns depending on material density
and medium viscosity, and the lower
size limit is about a few nanometers
depending on the refractive index difference
between the particles and the medium.