Handbook of Size Exclusion Chromatography and Related ...

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Association is such an important characteristic of asphalts, believed by many to be an indicator of asphalt performance, that attempts have been made to use poorer solvents to emphasize this feature. Unfortunately,poorer solvents lead to column fouling and bad tailing of the adsorbed material. Figure 15 is an extracted core asphalt and its Corbett fractions run in toluene and is similar to the material in Fig. 1. In both instances the asphaltenes tail badly,but in toluene this is the predominant effect, largely displacing the larger material to much lower apparent size. Similar results have also been reported for Corbett fractions in THF (140). All the evidence discussed previously indicates that if SEC is to be employed in molecular weight determinations the best solvent system for the associating material should be used. These include data at low concentrations and extrapolation to infinite dilution. Elevated temperatures probably help, but the choice of solvent is especially important. There are two particularly useful schemes for choosing solvents. The oldest is the solubility parameter method of Hildebrand and Scott (141) with the modifications of Hansen and colleagues (142–144). Hildebrand’s solubility Figure 15 SEC analyses of the same samples as in Fig. 1 with a toluene carrier solvent (500A ˚ , 60cm PLgel, toluene, 1mL/min, 100mL, RI detector). The whole asphalt is analysed using a 7wt% solution; the Corbett fractions are adjusted according to their weight fraction. © 2004 by Marcel Dekker, Inc.
parameterisbasedontheinternalpressure,definedasthesquarerootofthemolar internalenergyofvaporizationdividedbythemolarvolume.Strictlyspeaking,the formulationappliesonlytosolutionshavinganidealentropyofmixing,butinfact itisalsoremarkablygoodforawiderangeofnonpolarandweaklypolarmixtures. In the modification of Hansen it is assumed that the effective solubility parameter can be divided into three factors resulting from dispersion forces, polarity,and hydrogen bonding. The dispersion forces were estimated from the hydrocarbon homomorph. The polar factor was calculated from theoretical considerations based on measurements of dielectric constant, dipole moment, and refractive index.Itisthenassumedthatthemeasuredparameteristhesumofthedispersive, polar, and hydrogen bonding components, and the latter is calculated from the difference. The parameter has found many applications and was applied to asphalt by Hagen et al. (145). In this treatment the polar and hydrogen bonding components were combined and solubility correlated on atwo-dimensional scale. They found that asphalt solubility could be represented as contours on this twodimensional plot. The maximum solubility occurred in aregion occupied by such solvents as THF,chloroform, and toluene. That these solvents are far from equal shows the imperfections in the system, but they also found that as the asphalts aged, the maximum solubility moved in the direction of an increasing hydrogen bonding parameter. Thesignificanceisthatthematerial exhibitingmaximumassociationisalso the most oxidized material, and the solvent should be chosen for this material, not the whole asphalt. Thus with increasing oxidation, asolvent of increasing hydrogen bonding should be chosen. This is seen in the data of Cipione et al. (146), in which the highly oxidized material, which is most tightly bound to the aggregate in aged asphalt concrete, is much better extracted if ethanol is added to the solvent. Asecond useful treatment is that of Snyder (147), in which solvents are evaluated on the basis of apolarity index calculated from the solvent interaction with three test solutes: dioxane, ethanol, and nitromethane. Figure 16 (12) shows an SEC chromatogram of an asphalt for the four solvents indicated. The results show significant decrease in association at 800 A ˚ as one goes from tetraline to benzonitrile. Although tetraline has the lowest dielectric constant and benzonitrile the highest, the order is reversed for THF (E ¼ 7.25) and chloroform (E ¼ 4.806). On the basis of Snyder’s polarity parameter P 0 , however, the order is THF ðP 0 ¼ 4:2Þ, chloroform ðP 0 ¼ 4:4Þ, and benzonitrile ðP 0 ¼ 4:6Þ, which agrees with the 800 A ˚ order. As with any system, the effect of sample size depends on the response characteristics of the detector, but with asphalt this is complicated by the greater association in more concentrated solutions and the dissociation kinetics following injection. There is usually a decrease in the percentage of LMS as lower concentrations are injected. © 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
Page 181 and 182: Figure 8 Result of natural spider s
Page 183 and 184: 7 Size Exclusion Chromatography of
Page 185 and 186: As pointed out earlier, rubber must
Page 187 and 188: Table 2 Various Solvents and Operat
Page 189 and 190: Figure 2 Typical GPC calibrations w
Page 191 and 192: © 2004 by Marcel Dekker, Inc. Figu
Page 193 and 194: Natural and Synthetic Rubbe177 vari
Page 195 and 196: Another example, shown in Fig. 5 (3
Page 197 and 198: APPENDIX: SEC CONDITIONS FOR RUBBER
Page 199 and 200: Appendix (Continued) Polymer Column
Page 205 and 206: 5. J West, E Rodriguez. Rubber Chem
Page 209 and 210: associate. Girdler (67) and Speight
Page 211 and 212: Table 1 Fractions Obtained Using Co
Page 213 and 214: Figure 1 SEC analyses of an aged as
Page 215 and 216: Apparently more polar compounds are
Page 217 and 218: 40% was fractionated into four frac
Page 219 and 220: Figure 7 SEC analyses of an unaged
Page 221 and 222: Figure 9 Comparison of percentage L
Page 223 and 224: Figure 11 Comparison of SEC chromat
Page 225 and 226: Figure 12 Comparisons of SEC chroma
Page 227 and 228: percentage LMS at the other locatio
Page 229 and 230: the total area into up to 12 sectio
Page 231: attempted to develop an SEC method
Page 235 and 236: 5 MODIFIED ASPHALTS The addition of
Page 237 and 238: Oxidation of the rubber and asphalt
Page 239 and 240: Figure 20 SEC chromatogram for an a
Page 241 and 242: Figure 21 Comparisons of apparent m
Page 243 and 244: © 2004 by Marcel Dekker, Inc. S/
Page 245 and 246: PS/10 4 þ 10 3 þ 500 þ 100 THF/1
Page 247 and 248: Nevertheless, SEC of asphalts is es
Page 249 and 250: 56. NW Garrick, RR Biskur. Trans Re
Page 251 and 252: Asphalts 235 122. M-S Lin, JM Chaff
Page 255 and 256: Table 1 Applications of Acrylamide
Page 257 and 258: (AM/AA), and acrylamide/dimethyldia
Page 259 and 260: polymer, a large size filter of 5,
Page 261 and 262: Figure 1 Size exclusion chromatogra
Page 263 and 264: Table3 MWandMWDofaBroad-MWDPAMStand
Page 265 and 266: Another commercially available MW d
Page 267 and 268: Table 5 Weight-Average Molecular We
Page 269 and 270: Figure 6 (a) Size exclusion chromat
Page 271 and 272: compared to anormal product. By com
Page 273 and 274: StudyingtheKineticsofaChemicalReact
Page 275 and 276: this information, the higher MW pea
Page 281 and 282: 46. CJ Kim, A Hamielec, A Bendek. J
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10 Size Exclusion Chromatography of
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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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© 2004 by Marcel Dekker, Inc. Figu
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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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Page 455 and 456:
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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Page 479 and 480:
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
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MALDI-MS has been applied to determ
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Figure 1 Calibration curvesof SEC c
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Figure 3 Chromatograms of epoxy res
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wherenandn0 aretheRIsofthesample an
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Figure 5 SEC chromatogram of n-alka
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Figure 7 Refractive indexes of comm
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Another detector recently applied i
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Figure 11 Absolute MW calibration p
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Figure 12 Chromatogram of Acrawax C
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18 Two-Dimensional Liquid Chromatog
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largerispressuredropandresultingexp
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elations between molar masses and s
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Figure 2 (Continued) chapter, one o
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where Nis the column efficiency exp
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composition/architecture/molar mass
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solvent. Here again, solvent-solven
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or repulsive interactions between m
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macromolecules may strongly differ
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temperature. The efficacy of an ads
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however, aliphatic bonded groups ma
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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 and 546:
ThisisimportantwhenLCCCisappliedtoc
Page 547 and 548:
Page 549 and 550:
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
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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
Page 601 and 602:
20 Automatic Continuous Mixing Tech
Page 603 and 604:
out at low enough concentration tha
Page 605 and 606:
educed viscosity, h r, to be comput
Page 607 and 608:
© 2004 by Marcel Dekker, Inc. Figu
Page 609 and 610:
Figure 2 Raw ACOMP signals from mul
Page 611 and 612:
Figure 4 Mw vs. monomer conversion,
Page 613 and 614:
decreases smoothly and monotonicall
Page 615 and 616:
Figure 7 Effects of fluctuating rea
Page 617 and 618:
Finally, the use of a light-scatter
Page 619 and 620:
Figure 8 Linear and cubic increases
Page 621 and 622:
where r(t) is now given by 2 6 r(t)
Page 623 and 624:
Figure 11 Light scattering from sol
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3.1 ASimple System: Equilibrium Cha
Page 627 and 628:
Figure 13 (a) ACM applied to the ch
Page 629 and 630:
Also of note in Fig. 13b is how hig
Page 631 and 632:
15. JM Starita, CL Rohn. Rheologica
Page 633 and 634:
52. M Hulden. Hydrophobically modif
Page 635 and 636:
21 Light Scattering and the Solutio
Page 637 and 638:
therefore, is to remove any lingeri
Page 639 and 640:
is often found in the literature wh
Page 641 and 642:
Figure 2 Configuration of an SEC se
Page 643 and 644:
5 THE IMPORTANCE OF SOFTWARE Like a
Page 645 and 646:
standard deviations of the measured
Page 647 and 648:
These include the differential weig
Page 649 and 650:
Figure 8 Data of Fig. 7corrected fo
Page 651 and 652:
Figure 11 Data of Fig. 10 with spik
Page 653 and 654:
Figure 13 Fitstodatacollectedatasli
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Table 1 Errors (in %) Characteristi
Page 657 and 658:
homogeneous copolymer, that is, tak
Page 659 and 660:
process may be used to identify the
Page 661 and 662:
fractionated sample. They represent
Page 663 and 664:
Figure 16 An example of poor SEC ch
Page 665 and 666:
on) methods, whereby the average di
Page 667 and 668:
23. WH Stockmayer, LD Moore Jr, M F
Page 669 and 670:
condition, as is explained in this
Page 671 and 672:
Figure 2 Partition coefficients KL
Page 673 and 674:
4 COLUMNS FOR HOPC Detailsaregiveni
Page 675 and 676:
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
Page 683 and 684:
Figure 10 SEC chromatograms for som
Page 685 and 686:
appropriate for the early fractions
Page 687 and 688:
23 Size Exclusion/ Hydrodynamic Chr
Page 689 and 690:
Figure 2 Calibration curve for the
Page 691 and 692:
Figure 5 Elutionbehaviorofpolystyre
Page 693 and 694:
Table 1 Comparison Between SEC and
Page 695 and 696:
egular SEC column in which the pore
Page 697:
Such an ideal separation can be obt
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