Handbook of Size Exclusion Chromatography and Related ...

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Mobile phase barriers can be of . Isocratic or . Stepwise/continuous gradient type. Schematic representations of particular barrier approaches are shown in Figs. 11–13. Figure 11 shows the action of an isocratic barrier of mobile phase. Eluent with constant composition promotes full retention of polymer analytes B and C due to their adsorption or enthalpic partition or phase separation (precipitation) within the column, while analyte A is not retained by the eluent barrier. Sample containing polymers A, B, and C is dissolved and injected in a liquid that prevents their adsorption, partition, or precipitation (desorli/displacer or good solvent). Macromolecules tend to travel faster than the zone of their initial solvent. However, polymer B cannot leave the zone of its original solvent and elute corresponding to the exclusion retention mechanism because the eluent barrier hinders its fast progression. Nonretained polymer A will freely leave the initial solvent zone and elute in the SEC mode separately from retained species B and C. Molar mass and molar mass distribution of polymer A can be determined in the conventional way. Retention properties of eluent and displacement properties of sample solvent can be optimized so that polymer species of identical or similar chemical structure or architecture (polymer B) will travel with the same velocity near the front of the initial sample solvent zone and elute from the HPLC column independently of their molar mass (5,6,73). A sample which exhibits still higher affinity toward the column filling Figure 11 Schematic representation of liquid chromatography under limiting conditions of adsorption. A, B, and C are polymers injected, S is the elution (desorption) promoting sample solvent. Eluent promotes adsorption of polymers B and C. For detailed explanation see the text. © 2004 by Marcel Dekker, Inc.
Figure 12 Schematic representation of liquid chromatography under limiting conditions of desorption. A and B are polymers injected, S is the sample solvent (adsorbing barrier for polymer B). Eluent promotes desorption of both polymers. For detailed explanation see the text. and/or which is completely insoluble in eluent (polymer C) will be strongly retained within the column immediately after its injection or when the sample solvent zone becomes diluted and cannot prevent sample immobilization. Polymer C can be eluted with a subsequent zone of liquid, that is, with a more efficient displacer or a better solvent. A series of liquid pulses with increasing Figure 13 Scheme of a ten-port two-way valve equipped with two loops. S is sample solution and B is the barrier liquid (nonsolvent, adsorli, and so on); W is the waste vent. © 2004 by Marcel Dekker, Inc.
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MARCEL DEKKER Handbook of Size Excl
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CHROMATOGRAPHIC SCIENCE SERIES A Se
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60. Modern Chromatographic Analysis
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Preface to the Second Edition Gel p
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Preface to the First Edition Molecu
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Contents Preface to the Second Edit
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17. Size Exclusion Chromatography o
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James F. Curry Analytical Departmen
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Iwao Teraoka, Ph.D. Othmer Departme
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The graphical data display typicall
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polymer molecule can elute. The tot
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individual states) allowed to them.
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unsaturation while the IR detector
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Sampleconcentrationshouldbeminimize
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averagesdefinedintermsofthemolecula
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information regarding appropriate M
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Analytical. Two models, the KMX-6 a
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Figure 6 Overlay of time-sliced pea
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accurately for very large and very
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4 GENERAL REFERENCES The interested
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46. TA Chamberlin, HE Tuinstra. US
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materials are commercially availabl
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Table 1 Commercial Column Packing M
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necessarily comparable. For this re
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adjusted such that the pore size di
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narrowmolecular weight range, indiv
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Figure 8 Effect of particle size on
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Figure 9 SEC calibration using poly
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Table 4 Typical Eluent Systems for
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Figure 12 Analysis of poly-2-vinyl
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24. E Meehan, S O’Donohue. The ro
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into accepted laboratory techniques
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Table 1 Trace Metal Impurities in C
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mass and biological activity, for m
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Experimental efficiency vs. velocit
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Table 3 Properties of SEC Silica Ge
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operate at aflow rate that can easi
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Figure 3 Efficiency of amide-bonded
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mechanically stable packing materia
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Figure 5 Pore size distributions of
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Figure 6 Separation of polystyrenes
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60-120 A ˚ are large enough to be
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Table 6 Selected Silica-Based Colum
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Table 7 Separation Ranges for Polym
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the decline in permeability is perm
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sample components can be varied by
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Figure 10 Diol bonding reactions. I
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ecause of the higher relative molec
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valuesfork1,k2,anda,theunknownmolec
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water-soluble and detergent-soluble
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the importance of secondary retenti
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discussed in Table 8(33). Based on
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individual dispersion processes ins
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The detector time constant can dist
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5.3 Mobile Phase A mobile phase is
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less steep and still linear at high
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35. P Bristow, J Knox. Chromatograp
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112. K Gooding, K Lu, G Vanecek, F
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for branched polymers or copolymers
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Figure 1 “Bridge design” flow-r
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Figure 3 A light-scattering photome
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Figure 5 SEC universal calibration
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where hn is the hydrodynamic volume
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It should be noted that dn=dc also
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sensitivity for many samples compar
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that is, log[h] vs. logM,generated
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Figure 8 Effect of band broadening
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Table 1 Measurement of Molecular We
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Figure 10 Differential refractomete
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Figure 11 (A) Mark-Houwink plot of
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Table 3 Measurement of Molecular We
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size information is derived from un
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Table 5 Molecular Weight Distributi
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By measuring the scattered intensit
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8 APPENDIX: INSTRUMENT COMPANIES 8.
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53. G Marot, J Lesec. J Liq Chromat
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125. D Slootmaekers, JAPP Van Dijk,
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200. JG Bindels, GJJ Bessems, BM De
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possibly with hydrodynamic volume (
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An insurmountable limitation of SEC
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to sDR(V) when either nPS ¼nPB ¼c
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1,4-trans;and8%1,2-vynil.TheglobalC
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The goal is to find the MWD and CCD
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As expected, pS is closer to the no
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Figure 3 Example 3: MWD and BD of a
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9. BH Zimm, WH Stockmayer. The dime
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45. RO Bielsa, GR Meira. Linear cop
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solubility properties. They are use
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determination of the absolute molec
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Figure 4 Result of the PBT analysis
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Figure 8 Result of natural spider s
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7 Size Exclusion Chromatography of
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As pointed out earlier, rubber must
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Table 2 Various Solvents and Operat
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Figure 2 Typical GPC calibrations w
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© 2004 by Marcel Dekker, Inc. Figu
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Natural and Synthetic Rubbe177 vari
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Another example, shown in Fig. 5 (3
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APPENDIX: SEC CONDITIONS FOR RUBBER
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Appendix (Continued) Polymer Column
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5. J West, E Rodriguez. Rubber Chem
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associate. Girdler (67) and Speight
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Table 1 Fractions Obtained Using Co
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Figure 1 SEC analyses of an aged as
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Apparently more polar compounds are
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40% was fractionated into four frac
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Figure 7 SEC analyses of an unaged
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Figure 9 Comparison of percentage L
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Figure 11 Comparison of SEC chromat
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Figure 12 Comparisons of SEC chroma
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percentage LMS at the other locatio
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the total area into up to 12 sectio
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attempted to develop an SEC method
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parameterisbasedontheinternalpressu
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5 MODIFIED ASPHALTS The addition of
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Oxidation of the rubber and asphalt
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Figure 20 SEC chromatogram for an a
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Figure 21 Comparisons of apparent m
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© 2004 by Marcel Dekker, Inc. S/
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PS/10 4 þ 10 3 þ 500 þ 100 THF/1
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Nevertheless, SEC of asphalts is es
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56. NW Garrick, RR Biskur. Trans Re
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Asphalts 235 122. M-S Lin, JM Chaff
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Table 1 Applications of Acrylamide
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(AM/AA), and acrylamide/dimethyldia
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polymer, a large size filter of 5,
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Figure 1 Size exclusion chromatogra
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Table3 MWandMWDofaBroad-MWDPAMStand
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Another commercially available MW d
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Table 5 Weight-Average Molecular We
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Figure 6 (a) Size exclusion chromat
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compared to anormal product. By com
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StudyingtheKineticsofaChemicalReact
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this information, the higher MW pea
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46. CJ Kim, A Hamielec, A Bendek. J
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A relatively new technique utilizin
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where ais the exponent of the Mark-
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Figure 2 TDS chromatograms for full
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Figure 5 Comparison of molecular we
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Table 3 Summary of TDS Molecular We
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thepartiallyhydrolyzedPVAwiththecol
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Table 5 Summary of Conformation and
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a¼0.627andlog(K) ¼23.249.Theseare
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The limits of detection of the PVA
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Figure 12 PVAc broad molecular weig
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4 SUMMARY Advances in SEC character
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2.1 Molecular Weight Grades of PVP
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exclusion chromatography with low-a
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weightandmolecularweightdistributio
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Figure 4 PEOcalibrationofUltrahydro
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Figure 6 Overlay of GPC chromatogra
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plus Ultrahydrogel 120 A ˚ ,Shodex
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Figure 10 SEC traces of PVP/AA copo
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Figure 11 Molecular weight distribu
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2 CHEMICAL, MACROMOLECULAR AND MORP
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Table 2 The Relative Composition of
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considered to be 3. After the DS ha
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een extensively studied by methods
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The silylation was performed in LiC
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observed using column materials hav
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Table 6 (Continued) Packing materia
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4.5 Other Cellulose Derivatives Bes
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Table 8 SEC Conditions for Characte
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dextrans swell too much in cadoxen
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stirring at room temperature for an
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Figure 2 MMDofunbleached(HP)andblea
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Figure 4 MMDofbirchkraftpulpdegrade
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adequate when evaluating the influe
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differential refractive index (DRI)
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30. HA Krässig. Effects of structu
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67. E Sjöholm, K Gustafsson, A Col
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104. B Fleury, J Dubois, C Léonard
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136. D Miller, D Senior, R Sutcliff
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166. SS Cutié, CG Smith. Determina
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200. R Berggren, F Berthold, E Sjö
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13 Molar Mass and Size Distribution
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measurements, and vapor pressure os
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The calibration of SEC columns by c
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The division according to eluent ty
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Apolymer produced by UV irradiation
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Because DMAC/LiCl is also agood sol
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compoundsandwasexplainedbyadsorptio
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isolated lignins because they are e
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The Separon HEMA and Separon HEMA B
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Figure 4 GPC elution curves of the
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liquor is highest throughout the co
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topological anisotropy in the polym
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29. M Ristolainen, R Alen, J Knuuti
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eds. Proc Int Symp 1998. Canton, Pe
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92. L Jurasek. Towards a three dime
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Table 1 Selected Industries Connect
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into C3-metabolites, which then may
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Table 4 Key Enzymes in the Biosynth
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Table 5 Cloned Mutants of Starch En
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Figure 3 Modeled x-ray diffraction
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In the native environment (plant ce
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Figure 6 (a) Large starch granules
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number of branching points); crossl
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Both absolute approaches are extrao
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Table 7 (Continued) Approach Experi
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structures, excluded volumes, and t
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Figure 10 (a) SEC elution profile o
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Figure 12 Wheat glucans: DRI elutio
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Figure 13 Wheat glucans. Normalized
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Figure 16 Wheat glucan. Normalized
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Figure 18 Wheat glucan.Elution prof
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Figure 20 Wheat glucans. Absolute m
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Figure 22 Wheat glucan. (a) Intrins
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Figure 24 Wheat PA-glucan. Elution
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an Ubbelohde-viscometer for concent
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Rheological investigations of stabi
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shifts to applied laser light, whic
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Table 8 Characteristic Parameters f
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Table 8 (Continued) and H2O. A part
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10. SG Ball, MHBJ van de Wal, RGF V
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52. W Praznik, R Beck. J Chromatogr
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3 PROTEIN PARTITIONING IN SEC 3.1 G
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Figure 1 Plot of Kav vs. log M for
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yconsideringtheproteinsolutestobesp
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globular proteins and selected flex
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silanol groups (52-54); even capped
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most proteins to be maximally stabl
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Figure 4 Chromatograms of BSA and P
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concentrated) steps of protein puri
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Table 3 Characteristics of Dextran-
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preparative SEC. The capabilities o
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37. GR Noll, N Nagle, JO Baker, DJ
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Figure 2 Separation of total E. col
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Figure 3 Separation of HaeIII-cleav
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The recovery of DNA fragments has b
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Endotoxin should also be removed fr
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Table 3 Best Columns for the Separa
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Figure 10 Dependence of HETP on flo
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Appendix (Continued ) Polymer Colum
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REFERENCES 1. CT Wehr, SR Abbott. J
Page 495 and 496: MALDI-MS has been applied to determ
Page 497 and 498: Figure 1 Calibration curvesof SEC c
Page 499 and 500: Figure 3 Chromatograms of epoxy res
Page 501 and 502: wherenandn0 aretheRIsofthesample an
Page 503 and 504: Figure 5 SEC chromatogram of n-alka
Page 505 and 506: Figure 7 Refractive indexes of comm
Page 507 and 508: Another detector recently applied i
Page 509 and 510: Figure 11 Absolute MW calibration p
Page 511 and 512: Figure 12 Chromatogram of Acrawax C
Page 513 and 514: 18 Two-Dimensional Liquid Chromatog
Page 515 and 516: largerispressuredropandresultingexp
Page 517 and 518: elations between molar masses and s
Page 519 and 520: Figure 2 (Continued) chapter, one o
Page 521 and 522: where Nis the column efficiency exp
Page 523 and 524: composition/architecture/molar mass
Page 525 and 526: solvent. Here again, solvent-solven
Page 527 and 528: or repulsive interactions between m
Page 529 and 530: macromolecules may strongly differ
Page 531 and 532: temperature. The efficacy of an ads
Page 533 and 534: however, aliphatic bonded groups ma
Page 535 and 536: Figure 10 Schematic representation
Page 537 and 538: packing materials for SEC of synthe
Page 539 and 540: Quantitative relations between sila
Page 541 and 542: Both strength and thermodynamic qua
Page 543 and 544: where Cand Dare constants for apart
Page 545: ThisisimportantwhenLCCCisappliedtoc
Page 549 and 550: Figure 14 Schematic representation
Page 551 and 552: However, strong adsorption of macro
Page 553 and 554: elution step may be sufficient for
Page 555 and 556: Figure 16 Block scheme of a full ad
Page 557 and 558: processing of 2D-HPLC data. Knowled
Page 559 and 560: Figure 20 Set of full retention-elu
Page 561 and 562: distributions of complex polymers a
Page 563 and 564: constituents were not discriminated
Page 565 and 566: (Sec. 7) and therefore they can be
Page 567 and 568: 2. Identify sample solvents. First
Page 569 and 570: 1 Segmental interaction energy para
Page 571 and 572: 58. BG Belenkii. Pure Appl Chem 51:
Page 573 and 574: 19 Methods and Columns for High-Spe
Page 575 and 576: Table 1 Summary of Methods for Incr
Page 577 and 578: not savealot of time and solvent, d
Page 579 and 580: Figure 3 Conventional SEC chromatog
Page 581 and 582: chromatogram at 4mL/min, which is f
Page 583 and 584: Sincethereductionoftheinternaldiame
Page 585 and 586: Table 3 Summary of Column Performan
Page 587 and 588: Figure 11 Dependence of column perf
Page 589 and 590: . Two-dimensional chromatography ru
Page 591 and 592: The standard deviations for the mol
Page 593 and 594: Figure 15 Comparison of time requir
Page 595 and 596: Figure 17 Accuracy and precision of
Page 597 and 598:
polymer analysis. Samples are “ru
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just ignoring the fractionation of
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20 Automatic Continuous Mixing Tech
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out at low enough concentration tha
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educed viscosity, h r, to be comput
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Figure 2 Raw ACOMP signals from mul
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Figure 4 Mw vs. monomer conversion,
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decreases smoothly and monotonicall
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Figure 7 Effects of fluctuating rea
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Finally, the use of a light-scatter
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Figure 8 Linear and cubic increases
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where r(t) is now given by 2 6 r(t)
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Figure 11 Light scattering from sol
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3.1 ASimple System: Equilibrium Cha
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Figure 13 (a) ACM applied to the ch
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Also of note in Fig. 13b is how hig
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15. JM Starita, CL Rohn. Rheologica
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52. M Hulden. Hydrophobically modif
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21 Light Scattering and the Solutio
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therefore, is to remove any lingeri
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is often found in the literature wh
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Figure 2 Configuration of an SEC se
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5 THE IMPORTANCE OF SOFTWARE Like a
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standard deviations of the measured
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These include the differential weig
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Figure 8 Data of Fig. 7corrected fo
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Figure 11 Data of Fig. 10 with spik
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Figure 13 Fitstodatacollectedatasli
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Table 1 Errors (in %) Characteristi
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homogeneous copolymer, that is, tak
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process may be used to identify the
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fractionated sample. They represent
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Figure 16 An example of poor SEC ch
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on) methods, whereby the average di
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23. WH Stockmayer, LD Moore Jr, M F
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condition, as is explained in this
Page 671 and 672:
Figure 2 Partition coefficients KL
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4 COLUMNS FOR HOPC Detailsaregiveni
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and concomitant clogging of columns
Page 677 and 678:
Figure 5 Concentration dependence o
Page 679 and 680:
Table 1 Solution Volume, Polymer Ma
Page 681 and 682:
in Fig. 4a. The middle fractions (8
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Figure 10 SEC chromatograms for som
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appropriate for the early fractions
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23 Size Exclusion/ Hydrodynamic Chr
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Figure 2 Calibration curve for the
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Figure 5 Elutionbehaviorofpolystyre
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Table 1 Comparison Between SEC and
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egular SEC column in which the pore
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Such an ideal separation can be obt
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