Dead Volume
There are two forms of dead volume the thermodynamic dead volume and the dynamic dead volume. The thermodynamic dead volume, which is used in retention measurements and in thermodynamic studies, is that volume of mobile phase that exists between the point of injection and the detector sensor that is accessible to the solute, minus that volume of mobile phase contained in any unions or connecting tubing. The thermodynamic dead volume will include any volume of mobile phase that is contained in those pores of the packing accessible to the solute. In gas chromatography it is usually taken as the retention volume of a completely unretained solute (such as an inert gas other than that used for the mobile phase). In liquid chromatography the thermodynamic dead volume is taken as the retention volume of an alternative unretained solvent, chosen to be of similar size and interactive character as the actual solvent. The dynamic dead volume is that volume of mobile phase that is actually moving and does not include the mobile phase contained in the pores of any packing or any volume in the column where the mobile phase is static. In gas chromatography the dynamic dead volume is usually taken as the same as the thermodynamic dead volume which will be true for a capillary column but, in fact, be slightly larger than the true value for a packed column. The dynamic dead volume is more difficult to measure in a packed liquid chromatography column. It is usually taken as the retention volume of a solute of very large molecular weight (having a molecular size much greater than the pore size of the packing so that it is completely excluded from the pores) and which is not retained by the stationary phase. Silica smoke particles have been used for this purpose. When using any of the equations that describe the height of the theoretical plate (i.e. the variance per unit length of a column), the dynamic dead volume must be used for calculating the capacity ratios of solutes and the dynamic dead time used for calculating the linear mobile phase velocity.
Author: RPW Scott
Book:Plate Theory and Extensions
Section:Plate-Theory Column-Dead-Volume
The Column Dead Volume
An accurate
estimation of the dead volume is very important when measuring retention data,
particularly if the corrected retention volume is small and commensurate with
the dead volume. The dead volume comprises a number of different components of
the column volume, and the distribution of the total column volume into those
parts of chromatographic significance is a little complicated The composition
and measurement of the dead volume has been discussed by a number of workers
(4-9).
Originally,
the important 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
Plate-Theory Column-Dead-Volume
Author: RPW Scott
Book:Plate Theory and Extensions
Section:Plate-Theory Chromatographic-Dead-Volumes
Chromatographic Dead Volumes
The two so
called "dead volumes" are important in both theoretical studies and
practical chromatographic measurements. They are the kinetic dead volume and the thermodynamic
dead volume. The kinetic dead volume is used to calculate linear
mobile phase velocities and capacity ratios in peak variance studies. The
thermodynamic dead volume is relevant in retention measurements for
identification purposes, thermodynamic studies and, in particular, for
constructing vant Hoff curves.
In equation
(39) (for an incompressible mobile phase) the kinetic dead volume (which is the
volume of moving phase only) is (Vi(m)). Thus, at a flow rate of (Q)
ml/s, the dead time (to)
Plate-Theory Chromatographic-Dead-Volumes
Author: RPW Scott
Book:Plate Theory and Extensions
Section:Plate-Theory Chromatographic-Dead-Volumes
nbsp;
The
expression for the thermodynamic dead volume is more complex than that for the
kinetic dead volume and will depend on the size of the solute molecule. In
common with the kinetic dead volume, it contains the volume of moving phase VI(m). However,it also includes that
portion of the interstitial volume that is size dependent (Y), together with the pore volume available
to the solute (also size dependent (W).
Equation (39) shows the major retention factor, (xK3VS(A)),
is also molecular size dependent ((x)
is not unity), thus, unless the values for (Y),
(W) and (x)
are available or can be determined, it is not possible to determine the
retention volume difference between two solutes accurately. This is particularly true for LC, when
porous stationary phases (supported on silica) are
Plate-Theory Chromatographic-Dead-Volumes
Author: RPW Scott
Book:Plate Theory and Extensions
Section:Plate-Theory Experimental-Dead-Volume
by differential interactive forces would provide a value
for the thermodynamic dead volume. The maximum retention volume was obtained
for methanol and water (viz. about 2.8 ml) which can be taken as the
thermodynamic dead volume for small molecules (i.e., for concentrations
of methanol above 10%v/v where the Langmuir adsorption isotherm become
constant, see
The Mechanism of Chromatographic Retention).
It should be
noted that there is no significant difference between the retention volume of
water and that of methanol over the complete range of solvent compositions
examined, which confirms the validity of this method for measuring the
thermodynamic dead volume. Again, however, the lower concentrations of
methanol, where the surface area of the stationary phase was not completely
covered with methanol and the Langmuir adsorption isotherm would apply, can not
be used. It must also be stressed, that this method of measuring thermodynamic
dead volume will only be valid for
Plate-Theory Experimental-Dead-Volume
Author: RPW Scott
Book:Extra Column Dispersion
Section:EC-Dispersion Unions-and-Frits
, have designed low dead volume unions which
are now generally available. Actual data reporting the extent of the dispersion
that takes place in such unions does not, however, appear to be readily
available. Scott and Simpson also
measured the relative dispersion that occurred in normal, low dead volume
unions and drilled-out unions. Drilled-out unions allow the ends of the
connecting tubes to butt against one another, or against the frit of a
microbore column and thus reduce the union volume dead volume to virtually
zero. The design of low dead volume and drilled out unions are depicted in
figure 15.
Figure 15.
The Design of Low Dead Volume and Drilled Out Unions
EC-Dispersion Unions-and-Frits
Author: RPW Scott
Book:The Thermodynamics of Chromatography
Section:Thermodynamics Other-Methods Chiral-Separations
20 %
22.61 ml
18.75 ml
15.39 ml
13.00 ml
11.45 ml
30 %
13.35 ml
11.28 ml
9.63 ml
8.20 ml
7.14 ml
40 %
9.51 ml
7.85 ml
6.46 ml
5.52 ml
4.90 ml
50 %
6.36 ml
5.51 ml
4.06 ml
4.05 ml
3.44 ml
Dead Volume = 2.785 ml
The retention
volume and the dead volume were measured in duplicate at 0.1, 0.2, 0.3, 0.4 and
0.5 volume fractions of ethanol in hexane and at temperatures of 5˚C,
15˚C, 25˚C, 35˚C and 45˚C respectively. The corrected
retention volume was taken as the difference between the retention volume of
the solute and the retention volume of the peak obtained for pure ethanol, for
each solvent mixture. The retention data for each enantiomer, (S)
Thermodynamics Other-Methods Chiral-Separations