Column Volumes
Although apparently a simple property, the column volume in chromatography (particularly liquid chromatography), is, in fact, very complex and is made up of several individual volumes all of which play important, but different, parts in solute retention. The simple geometric column volume obtained by multiplying the cross-sectional area by the length is made up of three primary volumes, the volume of mobile phase in the column, the volume stationary phase in the column and the volume of the support/adsorbent matrix. The volume of mobile phase is made up of a volume of moving mobile phase (the mobile phase between the particles) and static mobile phase contained in the pores of the particles. The stationary phase (usually taken as the volume of liquid or bonded phase material in the column) is also divided into two parts. Due to the range of pore sizes of the support/adsorbant, for a solute having molecular of a given size, the molecules can only enter those pores that will allow its penetration and, thus, will only come into contact with a portion of the stationary phase. Thus, for a given solute there will be a volume of stationary phase available to the solute and a volume of stationary phase unavailable to the solute. In some cases there may be a third fraction of stationary phase that resides in completely blocked pores. These different column volumes must be divided up even further, but this can not be discussed as a topic. The use of the correct volume in data processing can be extremely important. For example to calculate capacity ratios for retention measurements associated with the Plate theory, the total volume of mobile phase in the column is used as the dead volume. To calculate the capacity ratios and the mobile phase velocity for use in the Rate theory equations, the volume of moving mobile phase must be employed (in conjunction with the dead time for phase velocity calculations). Note, as a result of the different dead volumes, the capacity ratio as defined by the Plate Theory differs significantly from that defined by the Rate theory.
Author: RPW Scott
Book:Plate Theory and Extensions
Section:Plate-Theory Column-Dead-Volume
column volumes were considered to be the interstitial volume (the
volume between the particles), the column pore volume (the volume within the
particle) and the volume of stationary phase. However, in using these basic
column volumes, certain invalid assumptions were made. Firstly. it was assumed
that the mobile phase in the interstitial volume was moving phase and none was
static, which, although possibly true in GC (particularly in capillary
columns), is certainly not true for packed column in LC. Secondly, the pore
contents had the same composition as the bulk mobile phase which, for solvent
mixtures has been proved not to be so (10). Thirdly, it was assumed that all
the stationary phase was available to the solute and, thus, exclusion effects
were ignored.
The different
column volumes that are chromatographically pertinent can be logically broken
down into the individual volumes involved. The column contains three materials,
the mobile phase, the stationary phase and
Plate-Theory Column-Dead-Volume
Author: RPW Scott
Book:Plate Theory and Extensions
Section:Plate-Theory Vacancy-Chromatography
mobile phase, followed by (v) plate volumes of equilibrated mobile phase
carrying a solute concentration (Xo) of solute, will be given by
.
(63)
The sum
expressed by equation (63) also lends itself to a digital solution and with an
appropriate computer program the actual peak profiles can be calculated for
different volumes of pure mobile phase injected onto the equilibrated column.
Values of (XE) were calculated
for a column having 500 theoretical plates and for sample volumes of 20, 50,
100 and 200 plate volumes, respectively. The curves relating solute
concentration (XE) to plate
volumes of mobile phase passed through the column are shown in Figure 19
Plate-Theory Vacancy-Chromatography
Author: RPW Scott
Book:Plate Theory and Extensions
Section:Plate-Theory Vacancy-Chromatography
nbsp;
Xo(e-p–1)
After the
addition of each plate volume of charge, a new concentration of solute exists
in plate (1), and its contents will be eluted through the column in the normal
manner.
Consider a
total of (p) plate volumes of pure mobile phase are injected onto the column
followed by a further (v) plate volumes of equilibrated mobile phase. After the
injection of (r) plate volumes of pure mobile phase, the new concentration of
solute in plate 1 will be eluted by a further (p-r) plate volumes of sample
followed by (v) plate volumes of equilibrated mobile phase. Therefore, the concentration
of solute leaving the (n)th plate due to the (r)th
Plate-Theory Vacancy-Chromatography
Author: RPW Scott
Book:Plate Theory and Extensions
Section:Plate-Theory Column-Efficiency
Column Efficiency
The column
efficiency is defined as the number of theoretical plates in the column. As
discussed in the plate theory, the faster the equilibrium process, the smaller
the plates and thus, the greater the number of plates in the column. It is
therefore important to know how to determine the number of plates a column
possesses and the relationship of the number of theoretical plates in the
column to the properties of the chromatogram.
Starting with
the Poisson form of the
Plate-Theory Column-Efficiency
Author: RPW Scott
Book:Extra Column Dispersion
Section:EC-Dispersion Small-Bore-Columns
The column was
operated close to its optimum velocity and, even with a 2 m column the analysis
time extended over 40 hr. The number of peaks disclosed by the chromatogram is
about 150. The separation was developed isocratically by a 75% v/v
acetonitrile/water mixture. It is seen that there is now a clear resemblance to
a GC separation carried out on a capillary column. Unfortunately the analysis
times are far from comparable.
It is seen
that extra-column dispersion can arise in the sample valve, unions, frits,
connecting tubing, and the sensor cell of the detector. The maximum sample
volume, i.e., that volume that contributes less than 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
EC-Dispersion Small-Bore-Columns
Author: RPW Scott
Book:Extra Column Dispersion
Section:EC-Dispersion Sensor-Volume Viscous-Flow
and the same solvent was used at a flow rate of 40 ml/min Benzene was also used a the solute. It
is seen that the reduction in cell volume has a dramatic effect on both
peak width and peak shape. The large 25 ml
cell causes significant peak asymmetry as well as excessive peak dispersion A
result which is predicted by the work of Atwood and Golay (11) which is
discussed below. It is seen that the large sensor cell has a disastrous effect
on the band width of the solute eluted from the microbore column. Clearly, even
cell volumes of 3 ml are too large for
use with 1 mm I.D. columns and relatively few contemporary detectors have cell
volumes less than 3 ml.
J.
Chromatogr. 169(1979)51
Figure 17.
Peak Profiles from Detector Having Different Cell Volumes
EC-Dispersion Sensor-Volume Viscous-Flow