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Caruso SJ, Cifuente PN, Castells CB, Gagliardi LG. Optimization of resolution as a simultaneous function of solvent composition, pH and temperature in reversed-phase liquid chromatography. Anal Chim Acta 2024; 1311:342657. [PMID: 38816150 DOI: 10.1016/j.aca.2024.342657] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/04/2023] [Revised: 04/10/2024] [Accepted: 04/25/2024] [Indexed: 06/01/2024]
Abstract
BACKGROUND The latest chromatographic retention models are capable of accurately describe the dependencies of retention over a wide range of experimental conditions. By using a suitable conversion, these models can be transformed into equations expressing the optimization criteria as function of multiples variables. Even though that theoretical models significantly reduce the experimental requirements for optimizations, these models have been barely used. Instead, most optimizations rely on empirical exploration of the relationships between criterions and variables. There is a need for a strategy to reduce the required number of experiments in multivariated optimization of separations, and Fundamental Models offer a clear opportunity for addressing it. RESULTS A Fundamental Model is used to give the simultaneous dependence of chromatographic retention of seven ionizable pesticides on the three variables: solvent composition, temperature and pH (w, T, pH). Based on few experiments, the 10 parameters required to predict the chromatographic retention of those compounds, taken as model analytes, can be obtained. Two mathematical treatments to convert retentions into resolutions between pairs are used: one considering extracolumn dispersions and other neglecting these contributions. Using the Overlapped Resolutions Maps, extended to four dimensions, two optimal conditions can be found for the two different mathematical conversions. Chromatographic conditions were empirically evaluated obtaining the best results for the optimization considering extracolumn dispersions, proving that this condition is a true optimal. It was demonstrated that any small shift in any of the variables from this true optimal leads to a loss in resolution. SIGNIFICANCE Fundamental Models describing chromatographic retention as a simultaneous function of multiple variables are nowadays very accurate. In this work is demonstrated that these models are useful not only to predict retentions, but also to optimize separations, even in the more challenging mode: isocratic, isothermal and iso-pH. However, the success in the optimization procedure depends also on the proper definition of the mathematical conversion of the Fundamental Models into optimization criteria.
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Affiliation(s)
- Sebastian J Caruso
- Laboratorio de Investigación y Desarrollo de Métodos Analíticos, LIDMA, Facultad de Ciencias Exactas (Universidad Nacional de La Plata, CIC-PBA, CONICET), Calle 47 Esq 115, La Plata, 1900, Argentina
| | - Pedro N Cifuente
- Laboratorio de Investigación y Desarrollo de Métodos Analíticos, LIDMA, Facultad de Ciencias Exactas (Universidad Nacional de La Plata, CIC-PBA, CONICET), Calle 47 Esq 115, La Plata, 1900, Argentina
| | - Cecilia B Castells
- Laboratorio de Investigación y Desarrollo de Métodos Analíticos, LIDMA, Facultad de Ciencias Exactas (Universidad Nacional de La Plata, CIC-PBA, CONICET), Calle 47 Esq 115, La Plata, 1900, Argentina
| | - Leonardo G Gagliardi
- Laboratorio de Investigación y Desarrollo de Métodos Analíticos, LIDMA, Facultad de Ciencias Exactas (Universidad Nacional de La Plata, CIC-PBA, CONICET), Calle 47 Esq 115, La Plata, 1900, Argentina.
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Passarin PBS, Lourenço FR. Modeling an in silico platform to predict chromatographic profiles of UV filters using ChromSimulator. Microchem J 2020. [DOI: 10.1016/j.microc.2020.105002] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022]
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3
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Soriano-Meseguer S, Fuguet E, Port A, Rosés M. Influence of the acid-base ionization of drugs in their retention in reversed-phase liquid chromatography. Anal Chim Acta 2019; 1078:200-211. [DOI: 10.1016/j.aca.2019.05.063] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/21/2019] [Revised: 05/22/2019] [Accepted: 05/26/2019] [Indexed: 11/26/2022]
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Sykora D, Vozka J, Tesarova E. Chromatographic methods enabling the characterization of stationary phases and retention prediction in high-performance liquid chromatography and supercritical fluid chromatography. J Sep Sci 2015; 39:115-31. [DOI: 10.1002/jssc.201501023] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/11/2015] [Revised: 10/08/2015] [Accepted: 10/08/2015] [Indexed: 11/11/2022]
Affiliation(s)
- David Sykora
- Department of Analytical Chemistry; University of Chemistry and Technology; Prague Czech Republic
| | - Jiri Vozka
- Department of Analytical Chemistry; University of Chemistry and Technology; Prague Czech Republic
- Department of Physical and Macromolecular Chemistry, Faculty of Science; Charles University in Prague; Prague Czech Republic
| | - Eva Tesarova
- Department of Physical and Macromolecular Chemistry, Faculty of Science; Charles University in Prague; Prague Czech Republic
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De Pauw R, Pursch M, Desmet G. Using the column wall itself as resistive heater for fast temperature gradients in liquid chromatography. J Chromatogr A 2015; 1420:129-34. [PMID: 26476853 DOI: 10.1016/j.chroma.2015.10.005] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/17/2015] [Revised: 10/01/2015] [Accepted: 10/04/2015] [Indexed: 11/28/2022]
Abstract
A new system is proposed for applying fast temperature gradients in liquid chromatography. It consists of a 0.7 mm × 150 mm fused-silica column coated with a 50 μm Nickel-layer, which is connecting with a power source and a temperature control system to perform fast and reproducible temperature gradients using the column wall itself as a resistive heater. Applying a current of 4A and passive cooling results in a maximal heating and cooling rate of, respectively, 71 and -21 °C/min. Multi-segment temperature gradients were superimposed on mobile phase gradients to enhance the selectivity for three sets of mixtures (pharmaceutical compounds, a highly complex mixture and an insecticide sample). This resulted in a higher peak count or better selectivities for the various mixtures.
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Affiliation(s)
- Ruben De Pauw
- Vrije Universiteit Brussel, Department of Chemical Engineering (CHIS-IR), Pleinlaan 2, 1050 Brussels, Belgium
| | - Matthias Pursch
- Dow Stade Produktions GmbH, Analytical Technology Center, 21677 Stade, Germany
| | - Gert Desmet
- Vrije Universiteit Brussel, Department of Chemical Engineering (CHIS-IR), Pleinlaan 2, 1050 Brussels, Belgium.
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Gagliardi LG, Tascon M, Castells CB. Effect of temperature on acid–base equilibria in separation techniques. A review. Anal Chim Acta 2015; 889:35-57. [DOI: 10.1016/j.aca.2015.05.053] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/25/2014] [Revised: 05/16/2015] [Accepted: 05/22/2015] [Indexed: 10/23/2022]
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7
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Belal F, El-Brashy AM, El-Enany N, Tolba MM. Simultaneous determination of celiprolol HCl and chlorthalidone in tablets and biological fluids using high-performance liquid chromatography. ACTA CHROMATOGR 2012. [DOI: 10.1556/achrom.24.2012.2.3] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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8
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Secilmis-Canbay H, Cubuk-Demiralay E, Alsancak G, Ozkan SA. The Combined Effect of the Organic Modifier Content and pH of the Mobile Phase on the Chromatographic Behavior of Some Arylpropionic and Arylacetic Acids to Optimize Their Liquid Chromatographic Determinations. Chromatographia 2012. [DOI: 10.1007/s10337-012-2255-z] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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9
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Agrafiotou P, Ràfols C, Castells C, Bosch E, Rosés M. Simultaneous effect of pH, temperature and mobile phase composition in the chromatographic retention of ionizable compounds. J Chromatogr A 2011; 1218:4995-5009. [DOI: 10.1016/j.chroma.2010.12.119] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/11/2010] [Revised: 12/27/2010] [Accepted: 12/30/2010] [Indexed: 10/18/2022]
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10
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Kinetic performance of reversed-phase C18 high-performance liquid chromatography columns compared by means of the Kinetic Plot Method in pharmaceutically relevant applications. J Chromatogr A 2011; 1218:3351-9. [DOI: 10.1016/j.chroma.2010.08.071] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/26/2010] [Revised: 08/24/2010] [Accepted: 08/25/2010] [Indexed: 11/22/2022]
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Ortín A, Torres-Lapasió J, García-Álvarez-Coque M. Finding the best separation in situations of extremely low chromatographic resolution. J Chromatogr A 2011; 1218:2240-51. [DOI: 10.1016/j.chroma.2011.02.022] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/09/2010] [Revised: 02/03/2011] [Accepted: 02/09/2011] [Indexed: 11/26/2022]
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12
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Torres-Lapasió JR, Pous-Torres S, Baeza-Baeza JJ, García-Álvarez-Coque MC. Optimal experimental designs in RPLC at variable solvent content and pH based on prediction error surfaces. Anal Bioanal Chem 2011; 400:1217-30. [DOI: 10.1007/s00216-011-4709-9] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/18/2010] [Revised: 01/20/2011] [Accepted: 01/22/2011] [Indexed: 12/01/2022]
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13
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Wei QH, Lei YF, Duan YN, Xiao FN, Li MJ, Chen GN. Mono- and dinuclear Ru(ii) complexes of 1,4-bis(3-(2-pyridyl)pyrazol-1-ylmethyl)benzene): Synthesis, structure, photophysical properties and electrochemiluminescent determination of diuretic furosemide. Dalton Trans 2011; 40:11636-42. [DOI: 10.1039/c1dt11163a] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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14
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Relationship between the particle size distribution of commercial fully porous and superficially porous high-performance liquid chromatography column packings and their chromatographic performance. J Chromatogr A 2010; 1217:7074-81. [DOI: 10.1016/j.chroma.2010.09.008] [Citation(s) in RCA: 85] [Impact Index Per Article: 6.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/24/2010] [Revised: 08/30/2010] [Accepted: 09/03/2010] [Indexed: 11/23/2022]
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15
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Pappa-Louisi A, Agrafiotou P, Thomas D, Papachristos K. Combined Effect of Temperature and Ternary Mobile Phase Composition on the Retention in Ternary Isocratic and Gradient Elution RP-LC under Isothermal Conditions. Application to the Retention Prediction of Four Macrolide Antibiotics. Chromatographia 2010. [DOI: 10.1365/s10337-010-1512-2] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
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Combined effect of solvent content, temperature and pH on the chromatographic behaviour of ionisable compounds. III: Considerations about robustness. J Chromatogr A 2009; 1216:8891-903. [PMID: 19909960 DOI: 10.1016/j.chroma.2009.10.032] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/12/2009] [Revised: 10/07/2009] [Accepted: 10/13/2009] [Indexed: 11/23/2022]
Abstract
We previously reported a model able to predict the retention time of ionisable compounds as a function of the solvent content, temperature and pH [J. Chromatogr. A 1163 (2007) 49]. The model was applied further, developing an optimisation of the resolution based on the peak purity concept [J. Chromatogr. A 1193 (2008) 117]. However, we left aside an important issue: we did not consider incidental overlaps caused by shifts in the predicted peak positions, owing either to uncertainties in the source data, modelling errors, or the practical implementation in the chromatograph of the optimal mobile phase (or any other). These shifts can ruin the predicted separation, since they can easily amount several peak-width units at pH values close to the logarithm of the solutes' acid-base constants. A probabilistic optimisation is proposed here, which is able to evaluate the uncertainties associated with the model and the consequences when the optimal mobile phase is implemented in the chromatograph. This approach assumes peak fluctuations in replicated assays obtained through Monte Carlo simulations, which gives rise to a distribution of elementary peak purities. The results yielded by the conventional (i.e. non-robust), derivative-penalised, and probabilistic optimisations were compared, checking the predicted and experimental chromatograms at several critical experimental conditions. Among the three approaches, only the probabilistic one was able to appraise properly the practical difficulties of the separation problem.
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Pous-Torres S, Torres-Lapasió JR, Ruiz-Ángel MJ, García-Álvarez-Coque MC. Interpretive optimisation of organic solvent content and flow-rate in the separation of β-blockers with a Chromolith RP-18e column. J Sep Sci 2009; 32:2793-803. [DOI: 10.1002/jssc.200900137] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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18
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Retention models for isocratic and gradient elution in reversed-phase liquid chromatography. J Chromatogr A 2009; 1216:1737-55. [DOI: 10.1016/j.chroma.2008.09.051] [Citation(s) in RCA: 115] [Impact Index Per Article: 7.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/29/2008] [Revised: 09/11/2008] [Accepted: 09/12/2008] [Indexed: 11/20/2022]
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19
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Retention models for ionizable compounds in reversed-phase liquid chromatography. J Chromatogr A 2009; 1216:1756-75. [DOI: 10.1016/j.chroma.2008.12.042] [Citation(s) in RCA: 56] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/10/2008] [Revised: 12/12/2008] [Accepted: 12/17/2008] [Indexed: 11/22/2022]
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20
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Gu B, Cortes H, Luong J, Pursch M, Eckerle P, Mustacich R. Low Thermal Mass Liquid Chromatography. Anal Chem 2009; 81:1488-95. [DOI: 10.1021/ac802022z] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Binghe Gu
- The Dow Chemical Company, Analytical Sciences, 1897 Building, Midland, Michigan 48667, The Dow Chemical Company, Fort Saskatchewan, Canada, The Dow Chemical Company, Rheinmunster, Germany, and RVM Scientific, Santa Barbara, California
| | - Hernan Cortes
- The Dow Chemical Company, Analytical Sciences, 1897 Building, Midland, Michigan 48667, The Dow Chemical Company, Fort Saskatchewan, Canada, The Dow Chemical Company, Rheinmunster, Germany, and RVM Scientific, Santa Barbara, California
| | - Jim Luong
- The Dow Chemical Company, Analytical Sciences, 1897 Building, Midland, Michigan 48667, The Dow Chemical Company, Fort Saskatchewan, Canada, The Dow Chemical Company, Rheinmunster, Germany, and RVM Scientific, Santa Barbara, California
| | - Matthias Pursch
- The Dow Chemical Company, Analytical Sciences, 1897 Building, Midland, Michigan 48667, The Dow Chemical Company, Fort Saskatchewan, Canada, The Dow Chemical Company, Rheinmunster, Germany, and RVM Scientific, Santa Barbara, California
| | - Patric Eckerle
- The Dow Chemical Company, Analytical Sciences, 1897 Building, Midland, Michigan 48667, The Dow Chemical Company, Fort Saskatchewan, Canada, The Dow Chemical Company, Rheinmunster, Germany, and RVM Scientific, Santa Barbara, California
| | - Robert Mustacich
- The Dow Chemical Company, Analytical Sciences, 1897 Building, Midland, Michigan 48667, The Dow Chemical Company, Fort Saskatchewan, Canada, The Dow Chemical Company, Rheinmunster, Germany, and RVM Scientific, Santa Barbara, California
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21
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Hendriks G. Theoretical models in LC based bioanalytical method development. J Pharm Biomed Anal 2009; 49:1-10. [DOI: 10.1016/j.jpba.2008.09.040] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/16/2008] [Accepted: 09/19/2008] [Indexed: 10/21/2022]
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22
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Recent developments in analytical determination of furosemide. J Pharm Biomed Anal 2008; 48:519-32. [DOI: 10.1016/j.jpba.2008.07.003] [Citation(s) in RCA: 35] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/10/2008] [Revised: 07/01/2008] [Accepted: 07/02/2008] [Indexed: 11/23/2022]
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23
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Ruiz-Angel MJ, Carda-Broch S, Torres-Lapasió JR, García-Alvarez-Coque MC. Retention mechanisms in micellar liquid chromatography. J Chromatogr A 2008; 1216:1798-814. [PMID: 18838142 DOI: 10.1016/j.chroma.2008.09.053] [Citation(s) in RCA: 105] [Impact Index Per Article: 6.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/01/2008] [Revised: 09/10/2008] [Accepted: 09/12/2008] [Indexed: 10/21/2022]
Abstract
Micellar liquid chromatography (MLC) is a reversed-phase liquid chromatographic (RPLC) mode with mobile phases containing a surfactant (ionic or non-ionic) above its critical micellar concentration (CMC). In these conditions, the stationary phase is modified with an approximately constant amount of surfactant monomers, and the solubilising capability of the mobile phase is altered by the presence of micelles, giving rise to diverse interactions (hydrophobic, ionic and steric) with major implications in retention and selectivity. From its beginnings in 1980, the technique has evolved up to becoming a real alternative in some instances (and a complement in others) to classical RPLC with hydro-organic mixtures, owing to its peculiar features and unique advantages. This review is aimed to describe the retention mechanisms (i.e. solute interactions with both stationary and mobile phases) in an MLC system, revealed in diverse reports where the retention behaviour of solutes of different nature (ionic or neutral exhibiting a wide range of polarities) has been studied in a variety of conditions (with ionic and non-ionic surfactants, added salt and organic solvent, and varying pH). The theory is supported by several mechanistic models that describe satisfactorily the retention behaviour, and allow the measurement of the strength of solute-stationary phase and solute-micelle interactions. Suppression of silanol activity, steric effects in the packing pores, anti-binding behaviour, retention of ionisable compounds, compensating effect on polarity differences among solutes, and the contribution of the solvation parameter model to elucidate the interactions in MLC, are commented.
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Affiliation(s)
- M J Ruiz-Angel
- Department of Analytical Chemistry, University of Valencia, c/Dr. Moliner 50, 46100 Burjassot, Valencia, Spain
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Pappa-Louisi A, Nikitas P, Papachristos K, Zisi C. Modeling the combined effect of temperature and organic modifier content on reversed-phase chromatographic retention. J Chromatogr A 2008; 1201:27-34. [DOI: 10.1016/j.chroma.2008.05.083] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/29/2008] [Revised: 05/27/2008] [Accepted: 05/29/2008] [Indexed: 10/22/2022]
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25
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Nikitas P, Pappa-Louisi A, Papachristos K, Zisi C. Theory and Application of the Two-Mode Gradient Elution in Liquid Chromatography Involving Simultaneous Changes in Temperature and Mobile-Phase Composition. Anal Chem 2008; 80:5508-14. [DOI: 10.1021/ac800514m] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- P. Nikitas
- Laboratory of Physical Chemistry, Department of Chemistry, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece
| | - A. Pappa-Louisi
- Laboratory of Physical Chemistry, Department of Chemistry, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece
| | - K. Papachristos
- Laboratory of Physical Chemistry, Department of Chemistry, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece
| | - C. Zisi
- Laboratory of Physical Chemistry, Department of Chemistry, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece
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Combined effect of solvent content, temperature and pH on the chromatographic behaviour of ionisable compounds. J Chromatogr A 2008; 1193:117-28. [DOI: 10.1016/j.chroma.2008.04.019] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/20/2008] [Revised: 04/04/2008] [Accepted: 04/09/2008] [Indexed: 11/18/2022]
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