• Tidak ada hasil yang ditemukan

DYNAMIC CHROMATOGRAPHY AS A TOOL TO QUANTIFY CATALYTIC SITES BONDED ON CHROMATOGRAPHIC SUPPORTSSITES BONDED ON CHROMATOGRAPHIC SUPPORTS

CHIRAL SEPARATIONS. CHIRAL DYNAMIC CHROMATOGRAPHY

8. DYNAMIC CHROMATOGRAPHY AS A TOOL TO QUANTIFY CATALYTIC SITES BONDED ON CHROMATOGRAPHIC SUPPORTSSITES BONDED ON CHROMATOGRAPHIC SUPPORTS

A severe problem in chromatographic analyses requiring rigorous quantification of chiral drugs is when the species to resolve may be involved into secondary equilibria during their separation. In fact, both the selector and matrix of the SP may be endowed on their surfaces with chemical groups responsible for possible catalytic effects. Such an event was quite recently specifically addressed in a study showing that even international pharmacopoeias can contain shortcomings arising from the aforementioned chemical lability (Cabri et al., 2008; D’Acquarica et al., 2010). Dihydroartemisinin is a powerful antimalarial drug that may easily interconvert between its two epimeric forms,aandb. It was proposed as an effective strategy to set optimized operating conditions (suitable choice of column length, MP flow rate, and temperature) aimed to slow down the secondary equilibrium. It was also stressed that commercial columns containing the same SP as the discriminating tool (all RP-C18 columns, in the specific case) can have a marked differential SPDPCeffect in promoting theb$aepimerization. In other words, the concentration of catalytic sites present on the SP surfaces not prepared according to standardized and uniform procedures may significantly differ from each other. However, the experi- mental determination of the2kvappDPC ½SSP term present inEq. (3.7) of Section 7may represent a valuable tool to gain quantitative information on the abundance of SSPsites. The results obtained could have direct implications in any analytical investigation aimed at quantitating this family of drugs.

In parallel studies performed on an anti-MAO drug (Cirilli et al., 2009b), within the limit of the adopted approximations (which include the assumption of amino groups as basic SSPsites bonded to the silica matrix, uncovered by the deposed chiral selector), the [SSP] concentration was estimated as 4.5103M. This, in turn, was assessed to correspond to uncovered amino groups included in a range from 3% to 5% of the whole parent amino groups originally bonded to the matrix. Therefore, such an approach discloses wide perspectives for studies aimed to give accurate characterization of the surface of chromatographic supports. Nevertheless, for a rigorous application of DC methods to these kinds of determinations, further dedicated studies have to be envisaged.

REFERENCES

Allenmark, S., Oxelbark, J., 1998. Inversion barriers in sulfoxide functions studied by enantioselective liquid chroma- tography and chiroptical methods. Chirality 9, 638e642.

Andreani, R., Bombelli, C., Borocci, S., Lah, J., Mancini, G., Mencarelli, P., Vesnaver, G., Villani, C., 2004. New biphenylic derivatives: synthesis, characterisation and enantiodiscrimination in chiral aggregates. Tetrahedron:

Asymmetry 15, 987e994.

Angelini, G., De Maria, P., Fontana, A., Pierini, M., Siani, G., 2007. Ionization and tautomerization of 2-nitrocyclohexanone in aqueous solution. J. Org. Chem. 72, 4039e4047.

Ballini, R., Cerritelli, S., Fontana, A., De Maria, P., Pierini, M., Siani, G., 2000. Equilibrium constants for ionisation and enolisation of 3-nitrobutan-2-one. Eur. J. Org. Chem. 8, 1641e1646.

Borsato, G., Della Negra, F., Gasparrini, F., Misiti, D., Lucchini, V., Possamai, G., Villani, C., Zambon, A., 2004. Internal motions in a fulleropyrrolidine tertiary amide with axial chirality. J. Org. Chem. 69, 5785e5788.

Bucar, F., Wube, A., Schmid, M., 2013. Natural product isolation-how to get from biological material to pure compounds. Nat. Prod. Rep. 30, 525e545.

Bu¨rkle, W., Karfunkel, H., Schurig, V., 1984. Dynamic phenomena during enantiomer resolution by complexation gas chromatography. A kinetic study of enantiomerization. J. Chromatogr. A 288, 1e14.

Cabri, W., Ciogli, A., D’Acquarica, I., Di Mattia, M., Galletti, B., Gasparrini, F., Giorgi, F., Lalli, S., Pierini, M., Simone, P., 2008. On-column epimerization of dihydroartemisinin: an effective analytical approach to overcome the shortcomings of the international pharmacopoeia monograph. J. Chromatogr. B 875, 180e191.

Cabri, W., D’Acquarica, I., Simone, P., Di Iorio, M., Di Mattia, M., Gasparrini, F., Giorgi, F., Mazzanti, A., Pierini, M., Quaglia, M., Villani, C., 2011. Stereolability of dihydroartemisinin, an antimalarial drug: a comprehensive ther- modynamic investigationePart I. J. Org. Chem. 76, 1751e1758.

Cancelliere, G., D’Acquarica, I., Gasparrini, F., Maggini, M., Misiti, D., Villani, C., 2006. Twenty years of research on silica-based chiral stationary phases. J. Sep. Sci. 29, 770e781.

Cancelliere, G., Ciogli, A., D’Acquarica, I., Gasparrini, F., Kocergin, J., Misiti, D., Pierini, M., Ritchie, H., Simone, P., Villani, C., 2010. Transition from enantioselective high performance to ultra-high performance liquid chromatog- raphy: a case study of a brush-type chiral stationary phase based on sub 5-micron to sub 2-micron silica particles.

J. Chromatogr. A 1217, 990e999.

Carr, P.W., Wang, X., Stoll, D.R., 2009. Effect of pressure, particle size, and time on optimizing performance in liquid chromatography. Anal. Chem. 81, 5342e5353.

Carradori, S., Cirilli, R., Dei Cicchi, S., Ferretti, R., Menta, S., Pierini, M., Secci, D., 2012. 3-Methylcyclohexanone thiosemicarbazone: determination of E/Z isomerization barrier by dynamic high-performance liquid chromatog- raphy, configuration assignment and theoretical study of the mechanisms involved by the spontaneous, acid and base catalyzed processes. J. Chromatogr. A 1269, 168e177.

Cavazzini, A., Marchetti, N., Guzzinati, R., Pierini, M., Ciogli, A., Kotoni, D., D’Acquarica, I., Villani, C., Gasparrini, F., 2014. Enantioseparation by ultra-high-performance liquid chromatography. TrAC Trends Anal. Chem. 63, 95e103.

Ceccacci, F., Mancini, G., Mencarelli, P., Villani, C., 2003. Determination of the rotational barrier of a chiral biphenyl:

comparison of theoretical and experimental data. Tetrahedron: Asymmetry 14, 3117e3122.

Chiarucci, M., Ciogli, A., Mancinelli, M., Ranieri, S., Mazzanti, A., 2014. The experimental observation of the intra- molecular NO2/CO interaction in solution. Angew. Chem. Int. Ed. Engl. 53, 5405e5409.

Ciogli, A., Kotoni, D., Gasparrini, F., Pierini, M., Villani, C., 2013. Chiral supramolecular selectors for enantiomer differentiation in liquid chromatography. Top. Curr. Chem. 340, 73e105.

Cirilli, R., Ferretti, R., La Torre, F., Secci, D., Bolasco, A., Carradori, S., Pierini, M., 2007. High-performance liquid chromatographic separation of enantiomers and diastereomers of 2-methylcyclohexanone thiosemicarbazone, and determination of absolute configuration and configurational stability. J. Chromatogr. A 1172, 160e169.

Cirilli, R., Costi, R., Di Santo, R., Gasparrini, F., La Torre, F., Pierini, M., Siani, G., 2009a. A rational approach to predict and modulate stereolability of chiral alpha substituted ketones. Chirality 21, 24e34.

Cirilli, R., Costi, R., Di Santo, R., La Torre, F., Pierini, M., Siani, G., 2009b. Perturbing effects of chiral stationary phase on enantiomerization second-order rate constants determined by enantioselective dynamic high-performance liquid chromatography: a practical tool to quantify the accessible acid and basic catalytic sites bonded on chromatographic supports. Anal. Chem. 81, 3560e3570.

D’Acquarica, I., Gasparrini, F., Pierini, M., Villani, C., Zappia, G., 2006. Dynamic HPLC on chiral stationary phases: a powerful tool for the investigation of stereomutation processes. J. Sep. Sci. 29, 1508e1516.

D’Acquarica, I., Gasparrini, F., Kotoni, D., Pierini, M., Villani, C., Cabri, W., Di Mattia, M., Giorgi, F., 2010. Stereo- dynamic investigation of labile stereogenic centres in dihydroartemisinin. Molecules 15, 1309e1323.

D’Acquarica, I., Kotoni, D., Ciogli, A., Pierini, M., Kocergin, J., Ritchie, H., Villani, C., Gasparrini, F., 2014. The evolution of chiral stationary phases from HPLC to UHPLC. LCeGC Eur. 27, 128e137.

Dalla Cort, A., Gasparrini, F., Lunazzi, L., Mandolini, L., Mazzanti, A., Pasquini, C., Pierini, M., Rompietti, R., Schiaffino, L., 2005. Stereomutations of atropisomers of sterically hindered salophen ligands. J. Org. Chem. 70, 8877e8883.

Dell’Erba, C., Gasparrini, F., Grilli, S., Lunazzi, L., Mazzanti, A., Novi, M., Pierini, M., Tavani, C., Villani, C., 2002.

Conformational studies by dynamic NMR. 86. Structure, stereodynamics, and cryogenic enantioseparation of the stereolabile isomers of o-dinaphthylphenyl derivatives. J. Org. Chem. 67, 1663e1668.

Desmet, G., Clicq, D., Nguyen, D.T.-T., Guillarme, D., Rudaz, S., Veuthey, J.-L., Vervoort, N., Torok, G., Cabooter, D., Gzil, P., 2006. Practical constraints in the kinetic plot representation of chromatographic performance data: theory and application to experimental data. Anal. Chem. 78, 2150e2162.

Ellis, L.A., Roberts, D.J., 1997. Chromatographic and hyphenated methods for elemental speciation analysis in envi- ronmental media. J. Chromatogr. A 774, 3e19.

Felinger, A., Pasti, L., Dondi, F., van Hulst, M., Schoenmakers, P.J., Martin, M., 2005. Stochastic theory of size exclusion chromatography: peak shape analysis on single columns. Anal. Chem. 77, 3138e3148.

Fontana, A., De Maria, P., Pierini, M., Siani, G., Cerritelli, S., Macaluso, G., 2002. Ab initio analysis on metal ion catalysis in the enolization reactions of some acetylheterocycles: kinetics of the enolization reactions of 3-acetyl-5- methylisoxazole, 5-acetyl-3-methylisoxazole and 3(5)-acetylpyrazole. J. Phys. Org. Chem. 15, 247e257.

Francotte, E.R., 2009. Enantioselective chromatography: from its emergence to its successful implementation in the pharmaceutical environment. Chimia 63, 867e871.

Gasparrini, F., Lunazzi, L., Misiti, D., Villani, C., 1995. Organic stereochemistry and conformational analysis from enan- tioselective chromatography and dynamic nuclear magnetic resonance measurements. Acc. Chem. Res. 28, 163e170.

Gasparrini, F., Misiti, D., Pierini, M., Villani, C., 1997a. Enantiomerization barriers by dynamic HPLC. Stationary phase effect. Tetrahedron: Asymmetry 8, 2069e2073.

Gasparrini, F., Misiti, D., Villani, C., Wennemers, H., Still, W.C., 1997b. Enantioselective and diastereoselective binding study of silica bound macrobicyclic receptors by HPLC. J. Org. Chem. 62, 8221e8224.

Gasparrini, F., Lunazzi, L., Mazzanti, A., Pierini, M., Pietrusiewicz, K.M., Villani, C., 2000. Comparison of dynamic HPLC and dynamic NMR in the study of conformational stereodynamics: case of the enantiomers of a hindered secondary phosphine oxide. J. Am. Chem. Soc. 122, 4776e4780.

Gasparrini, F., D’Acquarica, I., Pierini, M., Villani, C., 2001. Chromatographic resolution and enantiomerization barriers of axially chiral 1-naphthamides. J. Sep. Sci. 24, 941e946.

Gasparrini, F., Grilli, R., Leardini, L., Lunazzi, L., Mazzanti, A., Nanni, D., Pierini, M., Pinamonti, M., 2002a.

Conformational studies by dynamic NMR. 89. Stereomutation and cryogenic enantioseparation of conformational antipodes of hindered aryl oximes. J. Org. Chem. 67, 3089e3095.

Gasparrini, F., Misiti, D., Pierini, M., Villani, C., 2002b. A chiral A2B2 macrocyclic minireceptor with extreme enantioselectivity. Org. Lett. 4, 3993e3996.

Gasparrini, F., Pierini, M., Villani, C., De Maria, P., Fontana, A., Ballini, R., 2003. Enantiomerization study of some a-nitroketones by dynamic high-resolution gas chromatography. J. Org. Chem. 68, 3173e3177.

Giddings, J.C., 1965. Comparison of theoretical limit of separating speed in gas and liquid chromatography. Anal. Chem.

37, 60e63.

Gritti, F., Guiochon, G., 2008. Heat exchanges in fast, high-performance liquid chromatography. A complete thermo- dynamic study. Anal. Chem. 80, 6488e6499.

Guetens, G., De Boeck, G., Highley, M.S., Wood, M., Maes, R.A., Eggermont, A.A., Hanauske, A., de Bruijn, E.A., Tjaden, U.R., 2002a. Hyphenated techniques in anticancer drug monitoring. II. Liquid chromatography-mass spectrometry and capillary electrophoresis-mass spectrometry. J. Chromatogr. A 976, 239e247.

Guetens, G., De Boeck, G., Wood, M., Maes, R.A., Eggermont, A.A., Highley, M.S., van Oosterom, A.T., de Bruijn, E.A., Tjaden, U.R., 2002b. Hyphenated techniques in anticancer drug monitoring. I. Capillary gas chromatography-mass spectrometry. J. Chromatogr. A 976, 229e238.

Guillarme, D., Nguyen, D.T.-T., Rudaz, S., Veuthey, J.-L., 2007. Recent developments in liquid chromatography-impact on qualitative and quantitative performance. J. Chromatogr. A 1149, 20e29.

Holt, R.M., Newman, M.J., Pullen, F.S., Richards, D.S., Swanson, A.G., 1997. High-performance liquid chromatog- raphy/NMR spectrometry/mass spectrometry: further advances in hyphenated technology. J. Mass Spectrom. 32, 64e70.

Jacobson, J., Melander, W.R., Vaisnys, G., Horva´th, C., 1984. Kinetic study on cis-trans proline isomerization by high- performance liquid chromatography. J. Phys. Chem. 88, 4536e4542.

Jerkovich, A.D., Mellors, J.S., Jorgenson, J.W., 2003. The use of micrometer-sized particles in ultra high pressure liquid chromatography. LCeGC Eur. 16, 20e23.

Jung, M., 1992. Program simul, no. 620. Quantum chemistry program exchange. QCPE Bull. 3, 12.

Katsanos, N.A., Thede, R., Roubani-Kalantzopoulou, F., 1998. Diffusion, adsorption and catalytic studies by gas chromatography. J. Chromatogr. A 795, 133e184.

Keller, R.A., Giddings, J.C., 1960. Multiple zones and spots in chromatography. J. Chromatogr. A 3, 205e220.

Knox, J.H., 1977. Practical aspects of LC theory. J. Chromatogr. Sci. 15, 352e364.

Kotoni, D., Ciogli, A., D’Acquarica, I., Kocergin, J., Szczerba, T., Ritchie, H., Villani, C., Gasparrini, F., 2012a.

Enantioselective ultra-high and high performance liquid chromatography: a comparative study of columns based on the Whelk-O1 selector. J. Chromatogr. A 1269, 226e241.

Kotoni, D., Ciogli, A., Molinaro, C., D’Acquarica, I., Kocergin, J., Szczerba, T., Ritchie, H., Villani, C., Gasparrini, F., 2012b. Introducing enantioselective ultrahigh-pressure liquid chromatography (eUHPLC): theoretical inspections and ultrafast separations on a new sub-2-mm Whelk-O1 stationary phase. Anal. Chem. 84, 6805e6813.

Kotoni, D., Piras, M., Cabri, W., Giorgi, F., Mazzanti, A., Pierini, M., Quaglia, M., Villani, C., Gasparrini, F., 2014.

Thermodynamic and kinetic investigation of monoketo-aldehyde-peroxyhemiacetal-(mka), a stereolabile degrada- tion product of dihydroartemisinin. RSC Adv. 4, 32847e32857.

Kramer, R., 1975. Simultan-reaktionsgaschromatographie mit reversibler reaktion erster ordnung. I. J. Chromatogr. A 107, 241e252.

Krupcik, J., Oswald, P., Spanik, I., Majek, P., Bajdichova, M., Sandra, P., Armstrong, D.W., 2000a. The use of computerized peak deconvolution for determination of energy barrier to enantiomerization in dynamic gas chromatography. J. Microcolumn Sep. 12, 630e636.

Krupcik, J., Oswald, P., Spanik, I., Majek, P., Bajdichova, M., Sandra, P., Armstrong, D.W., 2000b. On the use of a peak deconvolution procedure for the determination of energy barrier to enantiomerization in dynamic chromatography.

Analusis 28, 859e863.

Krupcik, J., Oswald, P., Majek, P., Sandra, P., Armstrong, D.W., 2003. Determination of the interconversion energy barrier of enantiomers by separation methods. J. Chromatogr. A 1000, 779e800.

Kusano, T., Tabatabai, M., Okamoto, Y., Boehmer, V., 1999. The cone-to-cone interconversion of partially o-methylated calix[4]arenes: first experimental values for the energy barriers. J. Am. Chem. Soc. 121, 3789e3790.

Levi Mortera, S., Sabia, R., Pierini, M., Gasparrini, F., Villani, C., 2012. The dynamic chromatographic behavior of tri-o- thymotide on HPLC chiral stationary phases. Chem. Commun. 48, 3167e3169.

Lunazzi, L., Mancinelli, M., Mazzanti, A., Pierini, M., 2010. Stereomutation of axially chiral aryl coumarins. J. Org.

Chem. 75, 5927e5933.

Mannschreck, A., Andert, D., Eiglsperger, E., Gmahl, E., Buchner, H., 1988. Chiroptical detection. Novel possibilities of its application to enantiomers. Chromatographia 25, 182e188.

Mannschreck, A., Kiessl, L., 1989. Enantiomerization during HPLC on an optically active sorbent. Deconvolution of experimental chromatograms. Chromatographia 28, 263e266.

Marriott, P., Trapp, O., Shellie, R., Schurig, V., 2001. Time-resolved cryogenic modulation reveals isomer intercon- version profiles in dynamic chromatography. J. Chromatogr. A 919, 115e126.

Melander, W.R., Lin, H.-J., Jacobson, J., Horva´th, C., 1984. Dynamic effect of secondary equilibria in reversed-phase chromatography. J. Phys. Chem. 88, 4527e4535.

Menta, S., Pierini, M., Cirilli, R., Grisi, F., Perfetto, A., Ciogli, A., 2015. Stereolability of chiral ruthenium catalysts with frozen NHC ligand conformations investigated by dynamic-HPLC. Chirality 27, 685e692.

Neue, U.D., Kele, M., 2007. Performance of idealized column structures under high pressure. J. Chromatogr. A 1149, 236e244.

Nishikawa, T., Hayashi, Y., Suzuki, S., Kubo, H., Ohtani, H., 1997. On-column enantiomerization of 3- hydroxybenzodiazepines during chiral liquid chromatography with optical rotation detection. J. Chromatogr. A 767, 93e100.

Oswald, P., Desmet, K., Sandra, P., Krupcik, J., Armstrong, D.W., 2002a. Determination of the enantiomerization energy barrier of some 3-hydroxy-1,4-benzodiazepine drugs by supercritical fluid chromatography. J. Chromatogr. B 779, 283e295.

Oswald, P., Desmet, K., Sandra, P., Krupcik, J., Armstrong, D.W., 2002b. Evaluation of reversible and irreversible models for the determination of the enantiomerization energy barrier for n-(p-methoxybenzyl)-1,3,2-benzodithiazol-1-oxide by supercritical fluid chromatography. Chirality 14, 334e339.

Page, M.I., Jencks, W.P., 1971. Entropic contributions to rate accelerations in enzymic and intramolecular reactions and the chelate effect. Proc. Natl. Acad. Sci. U.S.A. 68, 1678e1683.

Pasti, L., Cavazzini, A., Felinger, A., Martin, M., Dondi, F., 2005. Single-molecule observation and chromatography unified by Le´vy process representation. Anal. Chem. 77, 2524e2535.

Pasti, L., Cavazzini, A., Nassi, M., Dondi, F., 2010. Dynamic chromatography: a stochastic approach. J. Chromatogr. A 1217, 1000e1009.

Pasti, L., Marchetti, N., Guzzinati, R., Catani, M., Bosi, V., Dondi, F., Sepsey, A., Felinger, A., Cavazzini, A., 2016.

Microscopic models of liquid chromatography: from ensemble averaged information to resolution of fundamental viewpoint at single-molecule level. TrAC Trends Anal. Chem. 81, 63e68.

Poppe, H., 1997. Some reflections on speed and efficiency of modern chromatographic methods. J. Chromatogr. A 778, 3e21.

Rizzo, S., Benincori, T., Bonometti, V., Cirilli, R., Mussini, P.R., Pierini, M., Pilati, T., Sannicolo`, F., 2013. Steric and electronic effects on the configurational stability of residual chiral phosphorus-centered three-bladed propellers: tris- aryl phosphanes. Chem. A Eur. J. 19, 182e194.

Rizzo, S., Cirilli, R., Pierini, M., 2014. Chirality in the absence of rigid stereogenic elements: steric and electronic effects on the configurational stability of C-3 symmetric residual tris-aryl phosphanes. Chirality 26, 601e606.

Rizzo, S., Menta, S., Benincori, T., Ferretti, R., Pierini, M., Cirilli, R., Sannicolo`, F., 2015. Determination of the enantiomerization barrier of the residual enantiomers of C3-symmetric tris[3-(1-methyl-2-alkyl)indolyl]phosphane oxides: case study of a multitasking HPLC investigation based on an immobilized polysaccharide stationary phase.

Chirality 27, 888e899.

Sabia, R., Ciogli, A., Pierini, M., Gasparrini, F., Villani, C., 2014. Dynamic high performance liquid chromatography on chiral stationary phases. Low temperature separation of the conformational enantiomers of diazepam, flunitrazepam, prazepam and tetrazepam. J. Chromatogr. A 1363, 144e149.

Sabia, R., De Martino, M., Cavazzini, A., Villani, C., 2016. The dynamic behavior of clobazam on high performance liquid chromatography chiral stationary phases. Chirality 28, 17e21.

Shustov, G.V., Kadorkina, G.K., Kostyanovsky, R.G., Rauk, A., 1988. Asymmetric nitrogen. 67. Geminal systems. 41.

Chiroptical properties of N-chloro and N-bromo derivatives of three-membered nitrogen heterocycles: aziridines and diaziridines. J. Am. Chem. Soc. 110, 1719e1726.

Shustov, G.V., Varlamov, S.V., Chervin, I.I., Aliev, A.E., Kostyanovsky, R.G., Kim, D., Rauk, A., 1989. Asymmetric nitrogen. 72. Geminal systems. 46. N-chlorooxaziridines: optical activation, absolute configuration, and chiroptical properties. J. Am. Chem. Soc. 111, 4210e4215.

Siani, G., Angelini, G., De Maria, P., Fontana, A., Pierini, M., 2008. Solvent effects on the rate of the ketoeenol interconversion of 2-nitrocyclohexanone. Org. Biomol. Chem. 6, 4236e4241.

Sticher, O., 2008. Natural product isolation. Nat. Prod. Rep. 25, 517e554.

Trapp, O., Schurig, V., 2000. Stereointegrity of Tro¨ger’s base: gas-chromatographic determination of the enantiomeri- zation barrier. J. Am. Chem. Soc. 122, 1424e1430.

Trapp, O., Schurig, V., 2001a. Approximation function for the direct calculation of rate constants and Gibbs activation energies of enantiomerization of racemic mixtures from chromatographic parameters in dynamic chromatography.

J. Chromatogr. A 911, 167e175.

Trapp, O., Schurig, V., 2001b. ChromWinea computer program for the determination of enantiomerization barriers in dynamic chromatography. Comput. Chem. 25, 187e195.

Trapp, O., Schoetz, G., Schurig, V., 2002. Stereointegrity of thalidomide: gas-chromatographic determination of the enantiomerization barrier. J. Pharm. Biomed. Anal. 27, 497e505.

Trapp, O., Shellie, R., Marriott, P., Schurig, V., 2003. Simulation of elution profiles for two-dimensional dynamic gas chromatographic experiments. Anal. Chem. 75, 4452e4461.

Trapp, O., 2004. Evaluation and prediction of stereoisomerizations in comprehensive two-dimensional chromatography.

J. Chem. Inf. Comput. Sci. 44, 1671e1679.

Trapp, O., 2006. Unified equation for access to rate constants of first-order reactions in dynamic and on-column reaction chromatography. Anal. Chem. 78, 189e198.

Uray, G., Jahangir, S., Fabian, W.M., 2010. On- and off-column enantiomerization of 4,4ʹ-bisquinolin-2-ones: a com- parison of auto DHPLC y2k and DCXplorer calculated thermodynamic data generated by dynamic high performance liquid chromatography with theoretically calculated data. J. Chromatogr. A 1217, 1017e1023.

Wales, T.E., Fadgen, K.E., Gerhardt, G.C., Engen, J.R., 2008. High-speed and high-resolution UPLC separation at zero degrees celsius. Anal. Chem. 80, 6815e6820.

Ward, T.J., Ward, K.D., 2010. Chiral separations: fundamental review. Anal. Chem. 82, 4712e4722.

Wilkins, C.L., 1983. Hyphenated techniques for analysis of complex organic mixtures. Science 222, 291e296.

Wolf, C., Ko¨nig, W.A., Roussel, C., 1995. Influence of substituents on the rotational energy barrier of atropisomeric biphenylsestudies by polarimetry and dynamic gas chromatography. Liebigs Ann. 781e786.

Wolf, C., 2005. Stereolabile chiral compounds: analysis by dynamic chromatography and stopped-flow methods. Chem.

Soc. Rev. 34, 595e608.

Wolf, C., 2008. Dynamic Stereochemistry of Chiral Compounds. The Royal Society of Chemistry, Cambridge, United Kingdom.

Wu, N., Lippert, J.A., Lee, M.L., 2001. Practical aspects of ultrahigh pressure capillary liquid chromatography.

J. Chromatogr. A 911, 1e12.

FURTHER READING

Giddings, J.C., 1960. Kinetic processes and zone diffusion in chromatography. J. Chromatogr. A 3, 443e453.

Garis besar

Dokumen terkait