Refractive Index
Classically defined the refractive index of a medium is the ratio of the velocity of light through a vacuum to the velocity of light through the medium. It is also the ratio of the sine of the angle of incidence of a beam of light entering the medium to the sine of the angle of refraction. The refractive index changes with the wavelength of light with which it is measured and, thus, the wavelength of the light must be quoted when the refractive index is reported. The electromagnetic theory of light shows that the refractive index of a medium is related to the dielectric constant of the medium by the Lorentz-Lorentz Equation. The measurement of refractive index is used in liquid chromatography detection in a number of ways, e.g., the Fresnel method, the Christianson, method, the Interferometric method are but a few of the measuring techniques used in refractive index detectors. Refractive index is a bulk property of the mobile phase and, thus, detection based on refractive index has the inherent limited sensitivity of bulk property detector, viz 10-6 to 10-7 gram per ml. As the refractive index and dielectric constant of a medium are related, the properties of the dielectric constant detector are very similar to those of the refractive index detector, although the methods of measurement are quite different. Because the refractive index detector tends to have a universal response, and despite its limited sensitivity, it finds use in the detection of those substances (fatty acids, alcohols, sugars etc) that are not easy to detect by other means.
Author: RPW Scott
Book:Liquid Chromatography Detectors
Section:HPLC-Detectors Refractive-Index-Based Christiansen-Effect
refractive index will only match at one particular wavelength. As a result the
fully transmitted light will be largely monochromatic. Light of different
wavelengths will be proportionally dispersed depending on the wavelength at
which the two media have the same optical dispersion. Thus, a change in mobile
phase refractive will change both the intensity of the transmitted light and
its wavelength.
This device
was made by GOW-MAC Inc., who claimed it had a sensitivity of 1 x 10-6
refractive index units (the maximum that cold be expected). This would be
equivalent to a sensitivity of 9 x 10-6 g/ml of benzene (refractive index
1.501) eluted in n-heptane (refractive index 1.388). The cell volume was
kept to 8 ml (a little large for modern
sensors) which was small enough to work satisfactorily with 4.6 mm I.D. LC
columns. Different cells packed with appropriate materials were necessary to
cover the refractive index range of 1.31 to 1.60. A diagram of the Christiansen
detector is shown
HPLC-Detectors Refractive-Index-Based Christiansen-Effect
Author: RPW Scott
Book:Liquid Chromatography Detectors
Section:HPLC-Detectors Refractive-Index-Based Angle-of-Deviation-Method
. The change in direction is called the refraction
and the relationship between the angle of incidence and the angle of refraction
is given by Snell's law, namely,
where (i)
is the angle of incident light in medium (A),
(r)
is the angle of refractive light in medium (B),
(nA)
is the refractive index of medium (A),
(nB)
is the refractive index of medium (B),
and (n'B)
is the refractive index of medium (B) relative to that of medium (A).
Refractive
index is a dimensionless constant that normally decreases with increasing
temperature. The reported values are usually taken at 20o or 25oC
and are mean values measured for the two sodium lines. If the mobile phase is
allowed to flow through a hollow prism and a ray of light passes through the
prism it will be diverged from its original path and can be focused onto a
photocell. If the refractive index of the
HPLC-Detectors Refractive-Index-Based Angle-of-Deviation-Method
Author: RPW Scott
Book:Liquid Chromatography Detectors
Section:HPLC-Detectors Refractive-Index-Based Dielectric-Constant
been claimed for the detector and a linear
dynamic range of about three orders of magnitude. The thermal lens detector is,
in fact, a special form of the refractive index detector and might, therefore,
be considered a universal detector. Nevertheless, like other bulk property
detectors, it can not be used with gradient elution or flow programming and has
sensitivity that is no better, if as good as, other refractive index
detectors.
The Dielectric Constant Detector
The refractive index of a substance is a
complementary property to the dielectric constant and in some circumstances is
a direct function of it. For non-polar substances, the relationship between
dielectric constant (e) and refractive
index (n) is given by
&
HPLC-Detectors Refractive-Index-Based Dielectric-Constant
Author: RPW Scott
Book:Liquid Chromatography
Section:HPLC Refractive-Index
detector uses a monochromator to select the
excitation wavelength and a second monochromator to select the wavelength of
the fluorescent light. This instrument gives the maximum versatility and allows
the maximum sensitivity to be realized for any type of solute. The system can
also provide a fluorescence spectra by arresting the flow of mobile phase when
the solute resides in the detecting cell and scanning the fluorescent light.
The Refractive Index Detector
The refractive
index detector is one of the least sensitive LC detectors. It is very sensitive
to changes in ambient temperature, pressure changes, flow-rate changes and can
not be used for gradient elution. Despite these many disadvantages, this
detector is extremely useful for detecting those compounds that are nonionic,
do not adsorb in the UV, and do not fluoresce. There are many optical systems
used in refractive index detectors (9) but one of the most common is the
differential refractive index detector
HPLC Refractive-Index
Author: RPW Scott
Book:Liquid Chromatography
Section:HPLC Refractive-Index
The refractive
index detector is often a 'choice of last resort' and is selected for those applications
where, for one reason or another, all other detectors are inappropriate or
impractical. However, the detector has one particular and
unique area of application and that is in the separation and analysis of
polymers. For those polymers that contain more than ten monomer units, the
refractive index is directly proportional to the concentration of the polymer
and is practically independent of the molecular weight. A quantitative analysis
of a polymer mixture can, therefore, be obtained by the simple normalization of
the peak areas in the chromatogram (there being no need for the use of
individual response factors). Some typical specifications for the refractive
index detector are as follows:-
Typical
Specifications for a Refractive Index Detector
Sensitivity (
HPLC Refractive-Index
Author: RPW Scott
Book:Liquid Chromatography Detectors
Section:HPLC-Detectors Liquid-Light-Scattering Low-Angle-Laser
Corporation.
Figure
51 Optical Diagram of a Low Angle Laser Light Scattering Detector
Between the
forward detector lens and the rear detector lens is A filter holder and an
analyzer/polarizer. Finally the light is focused through a sensor aperture to
an opal diffuser that spreads the scattered light through a red filter
and onto the photo- multiplier.
The device is
frequently used with a refractive index detector in series to coincidentally
measure the refractive index of the eluent. This is necessary to calculate (K)
from the refractive index. As discussed, the molecular weight of a solute is
determined from the intercept of the graph relating ()
to the solute concentration (c) as shown in figure 52. The concentration
calculated from the refractive index detector employing the data from prior
calibration
HPLC-Detectors Liquid-Light-Scattering Low-Angle-Laser