Ken Broeckhoven

The kinetic plot method applied to gradient chromatography: theoretical framework and experimental validation.

The kinetic plot method, originally developed for isocratic separations, was extended to the practically much more relevant case of gradient elution separations. A set of explicit as well as implicit data transformation expressions has been established. These expressions can readily be implemented in any calculation spread-sheet program, and allow to directly turn any experimental data set representing the relation between the separation efficiency and the flow rate measured on a single column into the kinetic performance limit curve of the tested separation medium. Since the kinetic performance limit curve is based on an extrapolation to columns with a different length, it should be realized that the curve is only valid under the assumption that the gradient time and the delay time (if any) are adapted such that the analytes are subjected to the same relative mobile phase history when the column length is changed. Both experimental and numerical data are presented to corroborate the fact that the kinetic performance limit curves that are obtained using the proposed expressions are indeed independent of the column length the experimental data were collected in. Deviations might arise if excessive viscous heating occurs in columns with a pronounced non-adiabatic thermal behaviour.

Influence of pressure and temperature on the physico-chemical properties of mobile phase mixtures commonly used in high-performance liquid chromatography

To fulfil the increasing demand for faster and more complex separations, modern HPLC separations are performed at ever higher pressures and temperatures. Under these operating conditions, it is no longer possible to safely assume the mobile phase fluid properties to be invariable of the governing pressures and temperatures, without this resulting in significantly deficient results. A detailed insight in the influence of pressure and temperature on the physico-chemical properties of the most commonly used liquid mobile phases: water-methanol and water-acetonitrile mixtures, therefore becomes very timely. Viscosity, isothermal compressibility and density were measured for pressures up to 1000 bar and temperatures up to 100 degrees C for the entire range of water-methanol and water-acetonitrile mixtures. The paper reports on two different viscosity values: apparent and real viscosities. The apparent viscosities represent the apparent flow resistance under high pressure referred to by the flow rates measured at atmospheric pressure. They are of great practical use, because the flow rates at atmospheric pressure are commonly stable and more easily measurable in a chromatographic setup. The real viscosities are those complying with the physical definition of viscosity and they are important from a fundamental point of view. By measuring the isothermal compressibility, the actual volumetric flow rates at elevated pressures and temperatures can be calculated. The viscosities corresponding to these flow rates are the real viscosities of the solvent under the given elevated pressure and temperature. The measurements agree very well with existing literature data, which mainly focus on pure water, methanol and acetonitrile and are only available for a limited range of temperatures and pressures. As a consequence, the physico-chemical properties reported on in this paper provide a significant extension to the range of data available, hereby providing useful data to practical as well as theoretical chromatographers investigating the limits of modern day HPLC.

Kinetic plot based comparison of the efficiency and peak capacity of high-performance liquid chromatography columns: theoretical background and selected examples.

The present contribution reviews the foundations of the kinetic-plot method for the direct comparison of the kinetic performance of different chromatographic support and operating modes. The method directly uses experimental data collected for a specific sample and operating condition of ones interest, and is applicable both under isocratic- and gradient-elution conditions. Experimental proof is provided for the strong relation between the kinetic performance of a given support under isocratic and gradient conditions: a material offering superior kinetic performances under isocratic conditions will remain superior under gradient conditions and vice versa provided the comparison occurs under unbiased conditions. In addition, a review is made of the recent literature using the kinetic-plot method to compare and assess the kinetic performance of high performance HPLC columns and their operation mode.

Comparison of the gradient kinetic performance of silica monolithic capillary columns with columns packed with 3 μm porous and 2.7 μm fused-core silica particles.

The kinetic-performance limits of a capillary silica C18 monolithic column and packed capillary columns with fully-porous 3 μm and fused-core 2.7 μm silica C18 particles (all 5 cm long) were determined in gradient-elution mode for the separation of peptides. To establish a kinetic plot in gradient-elution mode, the gradient time to column dead time ratio (t(G)/t₀) was maintained constant when applying different flow rates. The normalized gradient approach was validated by dimensionless chromatograms, obtained at different flow rates and gradient times by plotting them as a function of the retention factor. The separation performance of the different column types was visualized via kinetic plots depicting the gradient time required to achieve a certain peak capacity when operating at a maximum system pressure of 350 bar. The gradient steepness (applying t(G)/t₀=10, 20, and 40) did not significantly affect the gradient performance limits for low (< 250) peak-capacity separations. For high peak-capacity separations the peak capacity per unit time increases when increasing the t(G)/t₀ ratio. The C-term contribution of the porous 3 μm and fused-core 2.7 μm was comparable yielding the same gradient kinetic-performance limits for fast separations at a column temperature of 60 °C. The capillary silica monolithic column showed the lowest contribution in mass transfer and permeability was higher than the packed columns. Hence, the silica monolith showed the best kinetic performance for both fast and high peak-capacity gradient separations.

Parameters affecting the separation of intact proteins in gradient-elution reversed-phase chromatography using poly(styrene-co-divinylbenzene) monolithic capillary columns

An experimental study was performed to investigate the effects of column parameters and gradient conditions on the separation of intact proteins using styrene-based monolithic columns. The effect of flow rate on peak width was investigated at constant gradient steepness by normalizing the gradient time for the column hold-up time. When operating the column at a temperature of 60 degrees C a small C-term effect was observed in a flow rate range of 1-4 microL/min. However, the C-term effect on peak width is not as strong as the decrease in peak width due to increasing flow rate. The peak capacity increased according to the square root of the column length. Decreasing the macropore size of the polymer monolith while maintaining the column length constant, resulted in an increase in peak capacity. A trade-off between peak capacity and total analysis time was made for 50, 100, and 250 mm long monolithic columns and a microparticulate column packed with 5 microm porous silica particles while operating at a flow rate of 2 microL/min. The peak capacity per unit time of the 50mm long monolithic column with small pore size was superior when the total analysis time is below 120 min, yielding a maximum peak capacity of 380. For more demanding separations the 250 mm long monolith provided the highest peak capacity in the shortest possible time frame.

Towards a solution for viscous heating in ultra-high pressure liquid chromatography using intermediate cooling

A generic solution is proposed for the deleterious viscous heating effects in adiabatic or near-adiabatic systems that can be expected when trying to push the column operating pressures above the currently available range of ultra-high pressures (i.e., 1200 bar). A set of proof-of-principle experiments, mainly using existing commercial equipment, is presented. The solution is based on splitting up a column with given length L into n segments with length L/n, and providing an active cooling to the capillaries connecting the segments. In this way, the viscous heat is removed at a location where the radial heat removal does not lead to an efficiency loss (i.e., in the thin connection capillaries), while the column segments can be operated under near-adiabatic conditions without suffering from an unacceptable rise of the mobile phase temperature. Experimental results indicate that the column segmentation does not lead to a significant efficiency loss (comparing the performance of a 10 cm column with a 2 cm x 5 cm column system), whereas, as expected, the system displays a much improved temperature stability, both in time (because of the shortened temperature transient times) and in space (reduction of the average axial temperature rise by a factor n). The method also prevents a large backflow of heat along the column wall that would lead to large efficiency losses if one would attempt to operate columns at pressures of 1500 bar or more. A real-world pharmaceutical example is given where this improved temperature robustness could help in moderating the changes in selectivity during method transfer from a low to a high pressure operation, although the complex non-linear behavior of the viscous heating and high pressure effects result in lower than expected improvement.

Isocratic and gradient impedance plot analysis and comparison of some recently introduced large size core-shell and fully porous particles.

The intrinsic kinetic performance of three recently commercialized large size (≥4μm) core-shell particles packed in columns with different lengths has been measured and compared with that of standard fully porous particles of similar and smaller size (5 and 3.5μm, respectively). The kinetic performance is compared in both absolute (plot of t0 versus the plate count N or the peak capacity np for isocratic and gradient elution, respectively) and dimensionless units. The latter is realized by switching to so-called impedance plots, a format which has been previously introduced (as a plot of t0/N(2) or E0 versus Nopt/N) and has in the present study been extended from isocratic to gradient elution (where the impedance plot corresponds to a plot of t0/np(4) versus np,opt(2)/np(2)). Both the isocratic and gradient impedance plot yielded a very similar picture: the clustered impedance plot curves divide into two distinct groups, one for the core-shell particles (lowest values, i.e. best performance) and one for the fully porous particles (highest values), confirming the clear intrinsic kinetic advantage of core-shell particles. If used around their optimal flow rate, the core-shell particles displayed a minimal separation impedance that is about 40% lower than the fully porous particles. Even larger gains in separation speed can be achieved in the C-term regime.

Design and evaluation of various methods for the construction of kinetic performance limit plots for supercritical fluid chromatography

Supercritical fluid chromatography (SFC) is attributed many advantages over high performance liquid chromatography (HPLC). Next to the fact that SFC is greener than HPLC, which is especially important for preparative separations, SFC is claimed to be able to deliver faster separations at higher efficiencies (N) than HPLC. This is due to the higher diffusitivity of analytes in supercritical fluids compared to liquids (higher optimum mobile phase velocity) and to the lower viscosity of the mobile phases in SFC compared to HPLC, which results in smaller pressure drops allowing the use of longer columns and/or columns packed with smaller particles at higher velocities. In order to quantify this claimed kinetic performance advantage, it is essential to construct unbiased kinetic plots to make the comparison between HPLC and SFC. The high compressibility of the mobile phase in SFC however makes this problematic. A variable column length (L) kinetic plot method is therefore developed in this work. Because the pressure history in the column is kept constant for every data point in this method, this way of working definitely delivers exact values for the kinetic performance limits in SFC. It is shown that the traditional way of measuring the performance as a function of flow rate (fixed back pressure and column length) cannot deliver the same correct results as this variable L method. However, the isopycnic way of working on a fixed column length has also been proven to be a good alternative for the expensive and time consuming variable L method. Finally, isopycnic kinetic plots are used to compare SFC and HPLC performance in a quantitative way.

Errors involved in the existing B-term expressions for the longitudinal diffusion in fully porous chromatographic media Part II: experimental data in packed columns and surface diffusion measurements.

Peak parking experiments have been performed on three RP-HPLC different columns, using two different components and a variable mobile phase composition. The aim of the study was to investigate whether the B-term diffusion expressions currently used in the literature (which are all Knox-type models) should be replaced by the effective diffusion expressions that have been developed in the frame of the effective medium theory (EMT). Although the EMT-expressions are not fully accurate either (the mathematics of the complex interactions between different diffusion zones that are in close contact are too demanding to catch them in an exact analytical expression), they at least are physically sound and do not violate Maxwells basic law of diffusion. Further they also provide a much better approximation of the numerically calculated effective diffusivity in the theoretical test situation considered in part I. The present study shows that the values of the surface or stationary phase diffusion coefficient that are derived from peak parking models can depend heavily on the employed B-term model. The EMT-based B-term expressions lead to values of the surface diffusion coefficient that vary much less strongly with the phase retention factor than if one of the Knox-type models is used to analyze the data. This implies that, since all peak parking experiments that have been performed in the past have all been interpreted with a Knox-type model, the conclusions that have been drawn from these studies should all be moderated or at least revisited.

Detailed characterization of the kinetic performance of first and second generation silica monolithic columns for reversed-phase chromatography separations

The kinetic performance of commercially available first generation and prototype second generation silica monoliths has been investigated for 2.0mm and 3.0-3.2mm inner diameter columns. It is demonstrated that the altered sol-gel process employed for the production of second generation monoliths results in structures with a smaller characteristic size leading to an improved peak shape and higher efficiencies. The permeability of the columns however, decreases significantly due to the smaller throughpore and skeleton sizes. Scanning electron microscopy pictures suggest the first generation monoliths have cylindrical skeleton branches, whereas the second generation monoliths rather have skeleton branches that resemble a single chain of spherical globules. Using recently established correlations for the flow resistance of cylindrical and globule chain type monolithic structures, it is demonstrated that the higher flow resistance of the second generation monoliths can be entirely attributed to their smaller skeleton sizes, which is also evident from the external porosity that is largely the same for both monolith generations (ɛe∼0.65). The recorded van Deemter plots show a clear improvement in efficiency for the second generation monoliths (minimal plate heights of 13.6-14.1μm for the first and 6.5-8.2μm for the second generation, when assessing the plate count using the Foley-Dorsey method). The corresponding kinetic plots, however, indicate that the much reduced permeability of the second generation monoliths results in kinetic performances (time needed to achieve a given efficiency) which are only better than those of the first generation for plate counts up to N∼45,000. For more complex samples (N≥50,000), the first generation monoliths can intrinsically still provide faster analysis due to their high permeability. It is also demonstrated that - despite the improved efficiency of the second generation monoliths in the practical range of separations (N=10,000-50,000) - these columns can still not compete with state-of-the-art core-shell particle columns when all columns are evaluated at their own maximum operating pressure (200bar for the monolithic columns, 600bar for core-shell columns). It is suggested that monolithic columns will only become competitive with these high efficiency particle columns when further improvements to their production process are made and their pressure resistance is raised.