Dispersion, column
Peak dispersion, (or peak spreading) occurs in all types of chromatographic columns. There are three main sources of peak dispersion in a packed column and two sources of peak dispersion in a capillary column: they have been given the terms, multi-path dispersion, longitudinal diffusion and dispersion due to resistance to mass transfer in the two phases. Resistance to mass transfer in the two phases are usually treated as two similar, but separate, processes and have been termed, resistance to mass transfer in the mobile phase and resistance to mass transfer in the stationary phase.
Multi-path dispersion only occurs in packed columns and results from the different paths taken by the solute molecules as they wind their way through the intersticies of the packing. Those molecules taking shorter paths than the average pass through the column more quickly and elute in the front of the peak. Those molecules that take longer paths than the average, pass through the column more slowly and are eluted in the tail of the peak. The effect of the different path lengths causes the peak to be dispersed and instead of eluting as a sharp spike it is eluted as Gaussian or Error Function Curve. During the period of residence of a solute peak in a column while passing through the column, diffusion takes place and, as diffusion transfers solute from positions of high concentration to those of low concentration, the peak spreads from the peak center towards its edges. This peak dispersion process is called longitudinal diffusion and occurs in all types of columns. During passage through the column, the solute continually transfers from the mobile phase to the stationary phase and from the stationary back to the mobile phase. This process is not instantaneous because a finite time is required for the solute to transfer by diffusion through the mobile phase in order to enter the stationary phase. Thus, the molecules close to the stationary phase will enter it immediately, whereas those some distance from the stationary phase will enter it sometime later. However, as the mobile phase is moving, during the time the molecules are diffusing towards the stationary phase they will be swept along the column and, thus, away from those molecules that were close and entered it rapidly. This causes the solute peak to be dispersed and the process is called resistance to mass transfer in the mobile phase.Dispersion due to resistance to mass transfer in the stationary phase is exactly analogous to that in the mobile phase. Those molecules close to the surface of the stationary phase will leave the surface and enter the mobile before those that have diffused further into the stationary phase and requires a longer period to diffuse back to the surface. Thus, those molecules that quickly enter the mobile phase because they were close to the surface will be swept away from those molecules still diffusing to the surface. This process also causes the solute peak to be dispersed and the process is called resistance to mass transfer in the stationary phase phase. The total variance of a solute peak is obtained by adding the individual variances resulting from all the dispersion processes that are taking place in the column.
Author: RPW Scott
Book:Extra Column Dispersion
Section:EC-Dispersion Small-Bore-Columns
10% to the column
variance, is determined by the type of column, dimensions of the column and the
chromatographic characteristics of the solute. In practice, the majority of the
permitted extra-column dispersion should be allotted to the sample volume, as a
large sample volume may be necessary to handle a particular sample type for
successful analysis. In any event, the chromatograph should always be designed
so that the dispersion from other parts of the system is kept to the absolute
minimum. Dispersion in sample valves can be minimized by mechanical design
(internal loop valves tend to provide the minimum dispersion). Dispersion from
unions can be minimized by using drilled-out unions or low dead volume unions.
Stainless
steel frits provide very little dispersion and can be employed without great
concern for their contribution to the overall dispersion of the system.
Connecting tubes are one of the major sources of extra-column dispersion and
should be kept as short as possible
EC-Dispersion Small-Bore-Columns
Author: RPW Scott
Book:Extra Column Dispersion
Section:EC-Dispersion Sources Sensor-Volume
none of these sources of extra column
dispersion can be completely eliminated but, by careful design, they can be
reduced to a level where they no longer significantly impair column
performance.
Before extra
column dispersion can be considered in detail, however, it is necessary to
determine the volume of the peaks produced in contemporary high efficiency
columns by the normal column dispersive processes. This is necessary in order
to place a specific limit on the acceptable level of extra column dispersion.
It will be seen that extra column dispersion can be far more serious in liquid
chromatography than in gas chromatography and so the two types of column system
will be considered separately. Extra column dispersion in LC systems will be
considered first
EC-Dispersion Sources Sensor-Volume
Author: RPW Scott
Book:Extra Column Dispersion
Section:EC-Dispersion Maximum-Permissible
and ()
is the variance due to column dispersion.
It has been
established that the variance of a rectangular distribution of sample
volume (Vi) will be . It can again be assumed that the peak variance can be
increased by 10% as a result of extra column dispersion without seriously
denigrating column performance. Unfortunately, all the permitted extra
column dispersion can not be assigned to the effect of a finite sample volume
as some must be allocated to other dispersion sources. As an arbitrary judgment
half of the permissible extension of peak width will be allotted to the effect
of the sample volume (i.e., the variance can be increased by 5 %). This
is a variable proportion as it will depend on the magnitude of other sources of
extra column dispersion. If the chromatographic apparatus is carefully designed
to minimize all other dispersion sources then significantly more than half the
permissible extra column dispersion could be allotted to the
EC-Dispersion Maximum-Permissible
Author: RPW Scott
Book:Dispersion in Chromatography Columns
Section:Dispersion Rate-Theory
of a column may be
changed or, what causes peak dispersion in a column in the first place. It does
not tell us how dispersion is related to column geometry, properties of the
packing, mobile phase flow-rate, or the physical properties of the distribution
system. Nevertheless, it was not so much the limitations of the Plate Theory
that provoked Van Deemter et al (2) (who were chemical engineers
and mathematicians) to develop, what is now termed the Rate Theory for
chromatographic dispersion, but more to explore an alternative mathematical
approach to explain the chromatographic process. Virtually all basic
chromatography theory evolved over the twenty five years between 1940 and 1965
and it was in the middle of this period that Van Deemter and his colleagues
presented their Rate Theory concept in (1956). Since that time, other Rate
Theories have been presented, together with accompanying dispersion equations
and in due course each will be discussed, but most were very
Dispersion Rate-Theory
Author: RPW Scott
Book:Extra Column Dispersion
Section:EC-Dispersion Sensor-Volume
from a multipath type of
dispersion, similar to that which occurs in a packed column (see
Dispersion in Chromatography Columns).
Multipath dispersion in a packed column increases with the particle size of the
packing and so will increase with the porosity of the frit. However, the net
contribution will still be small unless the pores are exceedingly large. As a
consequence, in analytical chromatography, the contribution by the frit need
not be considered a significant source of extra column dispersion in any
chromatographic system.
Dispersion in the Detector Sensor Volume
Irrespective
of the type of detector or whether it is for LC or GC, if it is concentration sensitive, the device that actually
senses the solute contained in the mobile phase must address a finite volume of
the column eluent in order to measure the concentration of the solute and sense
its presence. The caveat, that the sensor is concentration sensitive is
important as, if the detector is mass
EC-Dispersion Sensor-Volume
Author: RPW Scott
Book:Extra Column Dispersion
Section:EC-Dispersion HPLC-Sample-Valves
volume and the column, and will provide
the minimum extra column dispersion. There will. however, still remain some
small contribution to dispersion from the Newtonian flow through the sample
volume itself and the small aperture acting as a conduit to the column.
Many sample
valves are connected to the column by a sequence of unioncapillary tubeunioncolumn. Most contemporary unions,
used for this purpose, are designed to have low dead volumes which has largely
eliminated union-dispersion. Consequently unions no longer contribute
significantly to extra column dispersion in most chromatographic systems.
However, it should be pointed out that they are still not completely dispersion
free.
If an external
tube sample valve is employed, then the vast majority of the dispersion
that takes place in it will be the same as that, which would occur in a
connecting tube of equivalent length (this will be discussed below). Dispersion
resulting from the internal sample
EC-Dispersion HPLC-Sample-Valves