Peak capacity optimization in comprehensive two dimensional liquid chromatography: a practical approach

In this work we develop a practical approach to optimization in comprehensive two dimensional liquid chromatography (LC x LC) which incorporates the important under-sampling correction and is based on the previously developed gradient implementation of the Poppe approach to optimizing peak capacity. The Poppe method allows the determination of the column length, flow rate as well as initial and final eluent compositions that maximize the peak capacity at a given gradient time. It was assumed that gradient elution is applied in both dimensions and that various practical constraints are imposed on both the initial and final mobile phase composition in the first dimension separation. It was convenient to consider four different classes of solute sets differing in their retention properties. The major finding of this study is that the under-sampling effect is very important and causes some unexpected results including the important counter-intuitive observation that under certain conditions the optimum effective LC x LC peak capacity is obtained when the first dimension is deliberately run under sub-optimal conditions. In addition, we found that the optimum sampling rate in this study is rather slower than reported in previous studies and that it increases with longer first dimension gradient times.     

Implications of column peak capacity on the separation of complex peptide mixtures in single- and two-dimensional high-performance liquid chromatography

Column peak capacity was utilized as a measure of column efficiency for gradient elution conditions. Peak capacity was evaluated experimentally for reversed-phase (RP) and cation-exchange high-performance liquid chromatography (HPLC) columns, and compared to the values predicted from RP-HPLC gradient theory. The model was found to be useful for the prediction of peak capacity and productivity in single- and two-dimensional (2D) chromatography. Both theoretical prediction and experimental data suggest that the number of peaks separated in HPLC reaches an upper limit, despite using highly efficient columns or very shallow gradients. The practical peak capacity value is about several hundred for state-of-the-art RP-HPLC columns. Doubling the column length (efficiency) improves the peak capacity by only 40%, and proportionally increases both the separation time and the backpressure. Similarly, extremely shallow gradients have a positive effect on the peak capacity, but analysis becomes unacceptably long. The model predicts that a 2D-HPLC peak capacity of 15,000 can be achieved in 8 h using multiple fraction collection in the first dimension followed by fast RP-HPLC gradients employing short, but efficient columns in the second dimension.     

A graphical method for understanding the kinetics of peak capacity production in gradient elution liquid chromatography

A novel graphical method for assessing the compromise between conditional peak capacity and separation speed for packed bed columns under gradient conditions has been developed and applied to the separation of peptides. This approach is analogous to and complements the conventional "Poppe plot" used to study plate count in isocratic separations. The use of the new plot can assist the design of appropriate column formats (e.g. particle size and column length) for both dimensions in gradient elution two-dimensional liquid chromatography (2DLC). Particularly for the second dimension of 2DLC, we find that smaller particles provide faster separations even though fast separations based on particles smaller than 2 microm are practically limited by the required miniscule column length. We also find that high temperatures strongly enhance the kinetics of peak capacity production whereas higher pressures help achieve larger absolute peak capacities albeit at the cost of longer analysis time.     

How to generate peak capacity in column liquid chromatography. The Halász nomograms revised

For the separation of complex samples it is necessary to run the analyses on a chromatographic set-up with high peak capacity. The concept of peak capacity is broader than the one of the theoretical plate numbers because it covers both the column characteristics and the run time of the separation. Therefore, a desired peak capacity can be obtained with many combinations of particle diameter, column length, pressure, and analysis time: either with a short column, small-diameter packing, short analysis time, and high pressure; or with less pressure at the expense of a longer column, larger-diameter packing, and longer analysis time. These combinations can be presented in the form of nomograms with the analysis time as x-axis and the peak capacity as y-axis and including particle diameter, column length, and pressure as parameters. The practical limits of the peak capacity are given by the maximum pressure delivered by the pump in use. These considerations are valid for isocratic and gradient separations as well. They are based on a 1982 paper by Halász and G?rlitz and apply the concept of HPLC columns used at their Van Deemter optimum.     

Direct coupling of capillary electrophoresis and nuclear magnetic resonance spectroscopy for the identification of a dinucleotide

Summary In this paper, a general peak capacity expression was evaluated using columns containing various packing materials under solvating gas chromatography (SGC) conditions. Differing from column efficiency, peak capacity can describe both separation capability and speed when introducing the dead time into the peak capacity expression. Various factors that influence peak capacity in SGC are described, including particle pore size, chemical surface modification, particle size, column length, temperature, and pressure.     

Fast ion chromatography using short anion exchange columns

A fast ion chromatographic system is described which uses shorter column lengths and compares various eluent profiles in order to maximise the performance without sacrificing the chromatographic resolution. Both isocratic and gradient elution profiles were considered to find the most efficient mode of separation. The separation and determination of seven target anions (chloride, chlorate, nitrate, chromate, sulfate, thiocyanate and perchlorate) was achieved using a short (4 mm ID, 50 mm long) column packed with Dionex AS20 high-capacity anion exchange material. A hydroxide eluent was used at an initial concentration of 25 mM (at a flow-rate of 1.0 mL/min) and two performance maxima were found. The maximum efficiency occurred at a normalised gradient ramp rate of 5 mM/t₀, resulting in a peak capacity of 16, while the fastest separation (<3 min) occurred at a normalised ramp rate of 30 mM/t₀. The retention time, peak width and resolution using the different eluent profiles on varying column lengths is also compared. Further investigations in this study determined that the highest peak capacity separation under gradient conditions could be approximated using an isocratic separation. The advantage of using this novel approach to approximate the maximum efficiency separation removes the need for column re-equilibration that is required for gradient elution resulting in faster analyses and enhanced sample throughput, with benefits in particular for multidimensional chromatography.     

Theoretical background of short chromatographic layers. Optimization of gradient elution in short columns

Although linear salt gradient elution ion-exchange chromatography (IEC) of proteins is commonly carried out with relatively short columns, it is still not clear how the column length affects the separation performance and the economics of the process. The separation performance can be adjusted by changing a combination of the column length, the gradient slope and the flow velocity. The same resolution can be obtained with a given column length with different combinations of the gradient slope and the flow velocity. This results in different separation time and elution volume at the same resolution. Based on our previous model, a method for determining the separation time and the elution volume relationship for the same resolution (iso-resolution curve) was developed. The effect of the column length and the mass transfer rate on the iso-resolution curve was examined. A long column and/or high mass transfer rate results in lesser elution volume. The resolution data with porous bead packed columns and monolithic columns were in good agreement with the calculated iso-resolution curves. Although the elution volume can be reduced with increasing column length, the pressure drop limits govern the optimum conditions.     

Application of a chromatography model with linear gradient elution experimental data to the rapid scale-up in ion-exchange process chromatography of proteins

We applied the model described in our previous paper to the rapid scale-up in the ion exchange chromatography of proteins, in which linear flow velocity, column length and gradient slope were changed. We carried out linear gradient elution experiments, and obtained data for the peak salt concentration and peak width. From these data, the plate height (HETP) was calculated as a function of the mobile phase velocity and iso-resolution curve (the separation time and elution volume relationship for the same resolution) was calculated. The scale-up chromatography conditions were determined by the iso-resolution curve. The scale-up of the linear gradient elution from 5 to 100mL and 2.5L column sizes was performed both by the separation of beta-lactoglobulin A and beta-lactoglobulin B with anion-exchange chromatography and by the purification of a recombinant protein with cation-exchange chromatography. Resolution, recovery and purity were examined in order to verify the proposed method.     

A practical approach to maximizing peak capacity by using long columns packed with pellicular stationary phases for proteomic research

Maximization of peak capacity is a very important step in developing one-dimensional separations of complex samples. In recent work, it was shown that the use of small particles in combination with the new technique of ultrahigh pressure liquid chromatography (UHPLC) was able to generate very high peak capacities. Here we show the ability of conventional HPLC instrumentation to give comparable peak capacities to those obtained in UHPLC for the important case of complex mixtures of peptides but at much lower pressures by using a 60 cm long set of columns packed with 5 microm pellicular (superficially porous) particles. We first show, in complete agreement with the well known results of the theory of isocratic separations that, when time is not limiting, the best peak capacities in gradient elution chromatography are obtained by using large particles and the longest column that can be operated at the pump's pressure limit. Two different types of 5 microm particles (superficially porous and totally porous) were compared for their efficiency in gradient chromatography of peptides. We find that the pellicular material gave about 50% higher peak capacity compared to the analogous porous material. A 60 cm column set packed with pellicular particles was made by connecting short columns in series; a peak capacity of about 460 was obtained in 4 h at room temperature. Increasing the column temperature to 70 degrees C reduced the analysis time to 2 h and further increased the peak capacity to more than 500. The number of peaks observed in the separation of bovine serum albumin tryptic peptides was greatly increased and the separation quality was significantly improved.     

Peak capacity in gradient reversed-phase liquid chromatography of biopolymers. Theoretical and practical implications for the separation of oligonucleotides

Reversed-phase ultra-performance liquid chromatography was used for biopolymer separations in isocratic and gradient mode. The gradient elution mode was employed to estimate the optimal mobile phase flow rate to obtain the best column efficiency and the peak capacity for three classes of analytes: peptides, oligonucleotides and proteins. The results indicate that the flow rate of the Van Deemter optimum for 2.1 mm I.D. columns packed with a porous 1.7 microm C18 sorbent is below 0.2 mL/min for our analytes. However, the maximum peak capacity is achieved at flow rates between 0.15 and 1.0 mL/min, depending on the molecular weight of the analyte. The isocratic separation mode was utilized to measure the dependence of the retention factor on the mobile phase composition. Constants derived from isocratic experiments were utilized in a mathematical model based on gradient theory. Column peak capacity was predicted as a function of flow rate, gradient slope and column length. Predicted peak capacity trends were compared to experimental results.     

The prediction of the peak width at half height in HPLC

The prediction of the peak width at half height is an important aspect in the optimization of the chromatographic operating conditions. In this paper, a linear relationship, between the peak widths at half height and the retention values with various isocratic elution is observed. In gradient elution, however, the relationship between the peak widths at half height and the so-called invented retention values that correspond to the mobile phase composition by eluting the solute from the column end is developed. We believe that there is almost the same band width at half height inside the column (in unit of length) for different solutes. The peak width at half height in the chromatogram (in unit of time) is mainly determined by the capacity factor of the solute when it is eluted from the column end. The larger the capacity factor of a solute eluted from the column end, the more slowly will be the solute eluted from the column end and the wider will be the peak width at half height. It is possible to predict the peak width at half height in various isocratic and gradient elutions by using this linear relationship.     

Characterization of hybrid organo-silica monoliths for possible application in the gradient elution of peptides

We characterized thermally polymerized organo-silica hybrid monolithic capillaries to test their applicability in the gradient elution of peptides. We have used a single-pot approach utilizing 3-(methacryloyloxy)propyltrimethoxysilane (MPTMS), ethylene dimethacrylate (EDMA), and n-octadecyl methacrylate (ODM) as functional monomers. The organo-silica monolith containing MPTMS and EDMA was compared with the stationary phase prepared by adding ODM to the original polymerization mixture. Column prepared using a three-monomer system provided a lower accessible volume of flow-through pores, a higher proportion of mesopores, and higher efficiency. We utilized isocratic and gradient elution data to predict peak widths in gradient elution. Both protocols provided comparable results and can be used for peptide peak width prediction. However, applying gradient elution data for peak width prediction seems simpler. Finally, we tested the effect of gradient time on achievable peak capacity in the gradient elution of peptides with a column prepared with a three-monomer system providing a higher peak capacity. However, the performance of hybrid organo-silica monolithic stationary phases in gradient elution of peptides must be improved compared to other monolithic stationary phases. The limiting factor is column efficiency in highly aqueous mobile phases, which needs to be focused on.     

Effects of the gradient profile, sample volume and solvent on the separation in very fast gradients, with special attention to the second-dimension gradient in comprehensive two-dimensional liquid chromatography

Gradient elution provides significant improvement in peak capacity with respect to isocratic conditions and therefore should be used in comprehensive two-dimensional LC×LC, both in the first and in the second dimension, where, however, gradients are limited to a short time period available for separation, usually 1 min or less. Gradient conditions spanning over a broad mobile phase composition range in each second-dimension fraction analysis are used with generic "full in fraction" (FIF) gradients. "Segment in fraction" (SIF) gradients cover a limited gradient range adjusted independently to suit changing lipophilicity range of compounds transferred to the second dimension during the first-dimension gradient run and to provide regular coverage of the two-dimensional retention space. Optimization of the gradient profiles is important tool for achieving high two-dimensional peak capacity and savings of the separation time in comprehensive LC×LC. Calculations based on the well-established gradient-elution theory can be used to predict the elution times and bandwidths in fast gradients, taking into account increased probability of pre-gradient or post-gradient elution. The fraction volumes transferred into the second dimension may significantly affect the second-dimension bandwidths, especially at high elution strength of the fraction solvent, which may cause even band distortion or splitting in combined normal-phase (HILIC)-RP systems, but also in some two-dimensional RP-RP systems. In the present work, the effects of the fast gradient profile, of the sample volume and solvent on the elution time and bandwidths were investigated on a short column packed with fused-core porous-shell particles, providing narrow bandwidths and fast separations at moderate operating pressure.     

Capillary electrochromatography of proteins with polymer-based strong-cation-exchanger microspheres

Monodisperse poly(glycidyl methacrylate-divinylbenzene) microspheres were functionalized with propyl sulfonic acid moieties to obtain beads negatively charged in a wide pH range. They were packed into fused-silica capillary of 50 micro, I.D. in order to separate proteins by capillary electrochromatography (CEC). Baseline separation of four basic proteins as well as three cytochrome c variants with an average column efficiency of 60,000 theoretical plates was obtained under isocratic elution conditions. The high efficiency is attributed to the uniformity of the column packing and the hydrophilic surface coverage of the polymer beads derived from the functionalization process. The effect of pH and salt concentration on protein separations was investigated and the results showed that the CEC separation mechanism is the combination of chromatographic retention and electrophoretic migration. Moreover, the column packed with the strongly acidic poly(glycidyl methacrylate-divinylbenzene) beads was also suitable for protein separations by micro-HPLC with a salt gradient. The comparison between the two kinds of elution modes shows that the column described here exhibited higher peak efficiency with isocratic elution in CEC than with gradient elution in micro-HPLC.     

用反相液相色谱分离多肽时峰容量与色谱柱长度关系的研究

在蛋白质组学研究中,多肽混合物的有效分离对蛋白质鉴定和蛋白质之间相互作用的研究起着决定性的影响。基于此,用反相液相色谱研究了在两个不同长度的色谱柱上分离多肽混合物时色谱柱长度与峰容量的关系,同时考察了梯度洗脱时间对峰容量和峰宽的影响。实验结果表明,色谱柱长度对峰容量有显著的影响,而延长梯度洗脱时间不仅可以增加峰容量,而且可以增加峰宽。这说明用毛细管液相色谱 串联质谱联用方法对多肽混合物进行分离鉴定时,采用较长的色谱柱和较长的梯度洗脱时间有利于对更多的多肽进行分析鉴定。     

Potential of long capillary monolithic columns for the analysis of protein digests

The gain in separation efficiency for protein digests using long monolithic columns has been evaluated for a LC‐MS system with capillary monolithic columns of different lengths (150 and 750 mm). A mixture of BSA, α‐casein and β‐casein tryptic digests was used as a test sample. Peak capacity and productivity (peak capacity per unit time) were determined from base peak chromatograms and MS/MS data were used for protein identification by MASCOT database searching. Peak capacity and protein identification scores were higher for the long column. Analyses with similar gradient slope for the two columns produced ratios of the peak capacities that were slightly higher than the expected value of the square root of the column length ratio. Peak capacity ratios varied from 2.7 to 4.0 for four different gradient slopes, while protein identification scores were 2–4 times higher for the long column. Similar values were obtained for the productivity of both columns and the highest productivity was obtained at gradient times of 45 and 75 min for the short and long column, respectively. The use of long monolithic columns improves peptide separation and increases reliability of protein identification for complex digests, especially if longer gradients are chosen.     

Study of elution behaviour with gradient voltage in CEC using methacrylate monolithic columns

A theoretical study on the retention behaviour and chromatographic performance of neutral solutes using a lauryl methacrylate‐based monolithic column under voltage gradient mode in CEC was carried out. Through a flexible mathematical function based on a modified Gaussian model, the peak shape of compounds was firstly fitted under constant and gradient voltage. Using the peak shape parameters and retention time, the estimation of global chromatographic performance, efficiency and peak capacity under several voltage conditions was performed. The influence of voltage gradient on the separation efficiency is discussed and simple equations are presented to calculate retention and peak widths under voltage gradient conditions. A comparison in terms of chromatographic performance of a test mixture of neutral solutes under constant and gradient voltage modes was also carried out. The experiments carried out under gradient voltage showed better efficiencies (172 000 plates/m) and lower peak widths than those obtained under constant voltage (52 000 plates/m).     

分子印迹手性整体柱的制备及对非对映异构体的分离

 采用原位分子印迹技术 ,单步制备了一种辛可宁印迹的手性整体柱。为了提高柱效和选择性 ,选择了相对低极性的甲苯 /十二醇复合致孔体系。在等度及梯度洗脱条件下 ,非对映异构体辛可宁与辛可尼丁被完全分离。等度洗脱中相对较宽的峰可以在梯度洗脱中得到改善。同时考察了流动相中醋酸浓度、流速以及温度对分离的影响。由于柱中存在大的流通孔 ,大大降低了分离过程中的柱压降 ,从而使这种柱能够在相对高的流速下使用。提高温度可以提高分离因子 ,在 60℃获得最大分离因子 5 40。     

Impact of pore structural parameters on column performance and resolution of reversed-phase monolithic silica columns for peptides and proteins

In this work, monolithic silica columns with the C4, C8, and C18 chemistry and having various macropore diameters and two different mesopore diameters are studied to access the differences in the column efficiency under isocratic elution conditions and the resolution of selected peptide pairs under reversed-phase gradient elution conditions for the separation of peptides and proteins. The columns with the pore structural characteristics that provided the most efficient separations are then employed to optimize the conditions of a gradient separation of a model mixture of peptides and proteins based on surface chemistry, gradient time, volumetric flow rate, and acetonitrile concentration. Both the mesopore and macropore diameters of the monolithic column are decisive for the column efficiency. As the diameter of the through-pores decreases, the column efficiency increases. The large set of mesopores studied with a nominal diameter of approximately 25 nm provided the most efficient column performance. The efficiency of the monolithic silica columns increase with decreasing n-alkyl chain length in the sequence of C18相似文献   

Factors affecting the separation and loading capacity of proteins in preparative gradient elution high-performance liquid chromatography.

The optimum conditions for the purification of proteins by gradient elution in reversed-phase liquid chromatography were studied, with emphasis on the column length. Because of the strong dependence of the retention of proteins on the mobile phase composition, very short columns can be used successfully to perform analytical separations. A similar conclusion is extended to preparative separations. Columns with different lengths and diameters were used. The dependence of the loading capacity for touching band separation on the column length, diameter and volume was studied, in addition to the regeneration time between successive runs, the starting mobile phase composition and the necessary column efficiency.