Handbook of Size Exclusion Chromatography and Related ...

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detector is based on similar principles as the MALDI-TOF-MS detector. Preliminary results on lignin molar mass determinations using the ESI/MS technique (11) have been presented. The ESI/MS spectra showed the molar mass distribution of lignin as well as structural features of oligomers with molar masses between 500 and 2000 g/mol. The possibility of using ESI/MS analysis for monitoring lignin reactions in solution has also been demonstrated. 2.2.2 Calibration of SEC Systems Conventional calibration of SEC systems results in absolute molar masses when the monodisperse calibration standards have the same chemical structure as the polymer under investigation. In the case of lignin this is not generally the case and the MMDs obtained for the lignins by conventional calibration are relative with respect to the calibration compounds and the type of eluent. However, if it should be possible to manufacture monodisperse lignin samples, with structures close to those of lignins, absolute molar masses could be determined. Universal calibration is based on the Einstein viscosity law (6): [h] ¼ const. Vh (2) which relates the hydrodynamic volume Vh of a macromolecule to the intrinsic viscosity [h] incm 3 /g. The sphere equivalent to Vh for a flexible polymer has a radius Re in which Rg is the radius of gyration: Re ¼ C Rg (3) By development of Eqs (1) and (2) the well-known Mark–Houwink equation is obtained: [h] ¼ K M a In SEC it is assumed that the penetration of the solutes into the pores of the column packing material determines the elution volumes of the solute. SEC separates molecules according to some function of size, of which V h is the most commonly used. The radius of gyration (R g) and the mean end-to-end distance (h 1/2) ofa random coil polymer could also be used. The universal calibration method is based on measuring simultaneously the response for the concentration with an RI detector and the viscosity of the sample on-line as a function of elution volume. By combining these two responses it is possible to calculate the intrinsic viscosity, which is proportional to Vh. Commercial programs are available by which it is possible to calculate different parameters related to the molecular size of polymers (6,9). © 2004 by Marcel Dekker, Inc. (4)
The calibration of SEC columns by conventional calibration, universal calibration, and sedimentation equilibrium studies have been compared for native lignins and acetylated organosolv lignins (5). Conventional SEC analysis calibratedwithapolystyrenestandardgavethelowestmolarmassvalues.Theuse of universal calibration gave molar mass estimates higher by factors of 1.5–2.5 than conventional SEC. The sedimentation equilibrium studies gave values of Mw,app that were roughly similar to those obtained by universal calibration. These resultswerenotconsideredtobesurprisingbecauseconventionalHPSECpredicts the effective Vh of the lignin derivative, not its molar mass, and also because conventional calibration was performed relative to polystyrene standards. Universal calibration uses the relationship between V h([h]M) and elution volume for aspecificcolumnset throughout awiderange ofpolymer structures andsizes. ThehigherMMobtainedbyuniversalcalibrationthanbyconventionalcalibration isinlinewiththepossibilitythatligninsarebranchedpolymers.Itisapparentthat branched polymers of higher molar mass may occupy the same Vh as alinear polymer of lower molar mass. Using THFas eluent and Styragel columns packed with crosslinked divinyl benzene–polystyrene, Jacobs and Dahlman (10) investigated matrix-assistedlaser-desorption-ionization time-of-flight mass spectrometry (MALDI-TOF-MS) for determination of absolute molar masses of lignins and hemicelluloses. During the SEC runs of lignins, fractions of different molecular size are collected and introduced in the the MALDI-TOF-mass spectrometer, and by this system it is possible to obtain absolute molar masses of the different fractions, whichare then used for the calibration of the columns. The results were compared with apparent molarmassesobtainedusingmonodispersepolystyrenesforcalibration.Themain features of the MALDI technique are high sensitivity,wide mass range, relatively simple sample preparation, rapid generation of results, and almost no fragmentation of the molecules during the analyses. The heterogeneity of the kraftlignin makesitimpossibletodetectseparateMALDI-TOF-MSpeaks for the different components in the lignin polymer distribution, therefore no structural information besides the molar mass distribution can be obtained for the lignin sample from the MALDI-MS spectrum (Fig. 1). It is possible to determine absolute molar masses of narrow lignin fractions directly by MALDI-TOF-MS. 3 DIFFERENT SEC METHODS FOR DIFFERENT LIGNIN SAMPLES Currently, very few new experimental methods for SEC measurements of lignins have been developed, although several new applications have been reported. Programs for data collection and treatment of raw data obtained from different © 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
Page 323 and 324: Figure 10 SEC traces of PVP/AA copo
Page 325 and 326: Figure 11 Molecular weight distribu
Page 327 and 328: 12 Size Exclusion Chromatography of
Page 329 and 330: 2 CHEMICAL, MACROMOLECULAR AND MORP
Page 331 and 332: Table 2 The Relative Composition of
Page 333 and 334: considered to be 3. After the DS ha
Page 335 and 336: een extensively studied by methods
Page 337 and 338: The silylation was performed in LiC
Page 339 and 340: observed using column materials hav
Page 341 and 342: Table 6 (Continued) Packing materia
Page 343 and 344: 4.5 Other Cellulose Derivatives Bes
Page 345 and 346: Table 8 SEC Conditions for Characte
Page 347 and 348: dextrans swell too much in cadoxen
Page 349 and 350: stirring at room temperature for an
Page 351 and 352: Figure 2 MMDofunbleached(HP)andblea
Page 353 and 354: Figure 4 MMDofbirchkraftpulpdegrade
Page 355 and 356: adequate when evaluating the influe
Page 357 and 358: differential refractive index (DRI)
Page 359 and 360: 30. HA Krässig. Effects of structu
Page 361 and 362: 67. E Sjöholm, K Gustafsson, A Col
Page 363 and 364: 104. B Fleury, J Dubois, C Léonard
Page 365 and 366: 136. D Miller, D Senior, R Sutcliff
Page 367 and 368: 166. SS Cutié, CG Smith. Determina
Page 369 and 370: 200. R Berggren, F Berthold, E Sjö
Page 371 and 372: 13 Molar Mass and Size Distribution
Page 373: measurements, and vapor pressure os
Page 377 and 378: The division according to eluent ty
Page 379 and 380: Apolymer produced by UV irradiation
Page 381 and 382: Because DMAC/LiCl is also agood sol
Page 383 and 384: compoundsandwasexplainedbyadsorptio
Page 385 and 386: isolated lignins because they are e
Page 387 and 388: The Separon HEMA and Separon HEMA B
Page 389 and 390: Figure 4 GPC elution curves of the
Page 391 and 392: liquor is highest throughout the co
Page 393 and 394: topological anisotropy in the polym
Page 395 and 396: 29. M Ristolainen, R Alen, J Knuuti
Page 397 and 398: eds. Proc Int Symp 1998. Canton, Pe
Page 399 and 400: 92. L Jurasek. Towards a three dime
Page 401 and 402: Table 1 Selected Industries Connect
Page 403 and 404: into C3-metabolites, which then may
Page 405 and 406: Table 4 Key Enzymes in the Biosynth
Page 407 and 408: Table 5 Cloned Mutants of Starch En
Page 409 and 410: Figure 3 Modeled x-ray diffraction
Page 411 and 412: In the native environment (plant ce
Page 413 and 414: Figure 6 (a) Large starch granules
Page 415 and 416: number of branching points); crossl
Page 417 and 418: Both absolute approaches are extrao
Page 419 and 420: Table 7 (Continued) Approach Experi
Page 421 and 422: structures, excluded volumes, and t
Page 423 and 424: 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
Page 453 and 454:
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
Page 459 and 460:
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
Page 491 and 492:
Appendix (Continued ) Polymer Colum
Page 493 and 494:
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
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wherenandn0 aretheRIsofthesample an
Page 503 and 504:
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
Page 509 and 510:
Figure 11 Absolute MW calibration p
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Figure 12 Chromatogram of Acrawax C
Page 513 and 514:
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
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 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
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
Page 599 and 600:
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:
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
Page 625 and 626:
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
Page 655 and 656:
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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