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TUTORIAL
LESSON 4
Dispersion

- Lesson 1: Introduction
- Lesson 2: Fundamentals of Flow
Injection Analysis
- Lesson 3: Membrane Sampling Devices
- Lesson 4: Dispersion
- Lesson 5: Enrichment
- Lesson 6: Chemistry
- Lesson 7: Sequential Injection
Analysis
- Bibliography
The flowing stream in a FIA/SIA system has two main purposes.
One is to deliver the sample zone to the detector. The second
is to intermingle the sample zone with carrier enroute to the
detector. If the carrier contains reagent, this process brings
the analyte and reagent together to promote chemistry that generates
a detectable product; it also causes dilution of the sample.
This process is commonly referred to as dispersion
in FIA, or controlled dispersion. The theory of dispersion is
well treated in a number of texts and other references on FIA
(see references at end of lesson). Dispersion is a very complex
process, and not easily defined, but we will take our shot at
it. We will define dispersion as the dynamic but reproducible
intermingling of sample zone with a reagent zone and/or carrier
caused by flow patterns created by the dynamics of fluid flow
through narrow bore tubing. The following Figure attempts to depict
dispersion in a sample zone shortly after injection into a FI
stream.

A key word in the definition of dispersion is reproducible.
While the dispersion is dynamic and never reaches equilibrium
or steady state before the sample zone reaches the detector, it
is reproducible at any given instant in time if the factors that
affect dispersion are held constant.
These factors include flow rate, tubing ID, type
of reactor (e.g. coil, knotted, static mixer, straight, serpentine),
length of tubing, and internal architecture of components such
as valves, detectors, and connectors, all of which are readily
controlled. Thus, the degree of dilution and chemistry caused
by the dispersion process during transport of the sample zone
from injector to detector can be controlled so that it is reproducibly
the same for calibrants and samples. This allows calibration of
the system and use of the calibration to quantify the unknown
concentration in the samples.
Dispersion is a generally a double-edged sword because,
on the one hand it promotes chemistry between analyte and reagent
which enhances sensitivity and, on the other hand, it causes dilution,
lowering sensitivity, increasing peak broadening, and reducing
sample throughput (there are, of course, some cases, e.g. with
concentrated samples, where dilution is desirable). In general,
initially (following injection of the sample) the chemistry effect
predominates, leading to a net increase in sensitivity with increased
dispersion, but at some point dilution has the predominant effect
and sensitivity drops. Therefore, in developing a new methodology,
the analyst must find a set of conditions that gives the best
balance between enhancement of chemistry and dilution for the
application of interest. This is part of the concept of controlling
dispersion to achieve the desired results in FIA.
There are actually two types of dispersion in FIA/SIA,
axial and radial. Axial dispersion occurs in the direction of stream
flow and causes greater dilution and peak broadening than radial
dispersion. Its effect can be dramatic; thus, in a typical FIA manifold,
an injected sample zone 1 cm long can be stretched to over a meter
in length by dispersion by the time it passes through the detector.
Axial dispersion predominates in a straight tube. Radial dispersion
is caused by flow patterns in the stream that circulate normal to
the direction of flow, and thus cause mixing with minimum dilution
and peak broadening. Turns in the flow path, e.g. coiling the tubing,
and in particular where frequent and sharp changes in the direction
of the turns occurs, e.g. with serpentine ("figures of 8") and knotted
tubing configurations, promote radial dispersion. For this reason,
serpentine reactors and knotted
reactors have gained in use over coiled
reactors coiled reactors since they lead to greater sensitivity
and narrower peaks.
The radial flow patterns created by turns in the
flow path are illustrated in the following Figure. As the Figure
shows, when the direction of the flow reverses, the radial flow
pattern also reverses in direction.

The reversal in radial flow with each reversal in
the flow direction of the carrier stream is very efficient in
mixing sample with the carrier/reagent with minimal dilution.
The effect on peak shape is dramatic, as illustrated in the following
Figure, which compares peaks obtained with the same length of
tubing reactor for a normal coiled reactor, a serpentine reactor
with 42 turns and a serpentine reactor with 92 turns.

Developing a new FIA/SIA methodology, or modifying
an existing one, involves manipulating the factors that control
dispersion until a combination is found which generates the desired
results. The mathematical relationships between most of these
factors and dispersion have been worked out and can be found in
references, but in practice, it is rare for analysts to use these
to select parameters for a methodology. More commonly, they depend
on experience, intuition, and trial-and-error. A tubing ID of
0.8 mm appears to have been adopted by most for FIA/SIA, although
0.5 mm ID tubing is also frequently used. For the other parameters,
e.g. flow rate, type of reactor, tubing length, a "best guess"
of the right combination is generally made, some experiments performed,
and then adjustments made until a combination is found which provides
acceptable results.
REFERENCES
1.) J. Ruzicka and E. H. Hansen, " Flow Injection Analysis - 2nd
edition", J. Wiley and Sons (1988).
2.) B. Karlberg and G. E. Pacey, " Flow Injection Analysis. A
Practical Guide", Elsevier (1989).
This completes this session of our Web Tutorial.
© Global FIA, Inc, 2003
253-549-2223
800-581-6298 (TOLLFREE)
253-549-2283
info@GlobalFIA.com
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