Handbook of Size Exclusion Chromatography and Related ...

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4 CALIBRATION AND CALCULATION The most commonly used polymer MW standard is probably the polystyrene (PS) standard,because of availability of narrow distribution standards over awide MW range, from close to 10 10 6 tounimer, and because of its solubility in various commonorganicsolventsforSECstudies.Inmanyapplications,whentheabsolute MWis not necessary,the MW results calculated using PS standards are acceptable forrelativecomparison.Itishighlyrecommendedtoaddtheunimer,hexylbenzene, MW ¼162, in calibration, especially when stabilized THF is used as the mobile phase. The BHT stabilizer peak often shows up between the trimer, 370MW,and theunimerpeaks.Itisimportanttonotethattherefractiveindexoftrichlorobenzene (TCB)happenstobeveryclosetothetrimer.Therefore,thetrimerbecomesinvisible, while the dimer and the unimer become negative peaks (Fig. 10). Poly(ethylene glycol) (PEG) is another useful MW standard for SEC in THF andmorepolarsolvents.ThehigherMWstandards(.1,000)aredifficulttodissolve inTHFatroomtemperature.Theycanhedissolvedatelevatedtemperatureandwill stay in solution when the solution is cooled. It is also important to note that the retentiontimesofverylowMWoligomersofPEG(,200)arenotlinear relativeto higher MW PEG standards for an unknown reason (10). It is difficult to use an on-line MW detector, such as light-scattering photometer or viscometer, for absolute MW analysis of low MW oligomers by SEC because of lack of sensitivity.However, an absolute MW calibration curve may be created if the low oligomer peaks can be resolved and the MWs can be assigned.Figure 11isanexamplefor polyols,wherethelowMWoligomer peaks Figure 10 FSECchromatogramsofstyreneoligomersinTHFandinTCB.(A)Column: PLgel MIXED-E; mobile phase: TCB with 250ppm BHT, 1.0mL/min. (B) Same conditions as in Fig. 5. © 2004 by Marcel Dekker, Inc.
Figure 11 Absolute MW calibration polyols. Column set: PLgel, 2 MIXED-D þ 500A ˚ þ 100A ˚ ; mobile phase: THF with 250ppm BHT; flow rate: 1.0mL/min; detector: Waters 410 DRI; column temperature: 408C. Solid line: (B) polystyrene; dashed line: (W) polyol oligomers, (4) fractions identified by MALDI/MS. were resolved well enough up to, at least, the pentamer. Two fractions of high MW SEC effluent were collected for MW determination with mass-assisted laser desorption ionization/mass spectroscopy (MALDI/MS). An absolute MW calibration curve was then created using these data points. The calibration curve can be extended to higher MW using a PS calibration by assuming that the ratio of MWpolyol :MWPS remains the same at all retention volumes, which indicates © 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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Page 455 and 456:
3 PROTEIN PARTITIONING IN SEC 3.1 G
Page 457 and 458: Figure 1 Plot of Kav vs. log M for
Page 459 and 460: yconsideringtheproteinsolutestobesp
Page 461 and 462: globular proteins and selected flex
Page 463 and 464: silanol groups (52-54); even capped
Page 465 and 466: most proteins to be maximally stabl
Page 467 and 468: Figure 4 Chromatograms of BSA and P
Page 469 and 470: concentrated) steps of protein puri
Page 471 and 472: Table 3 Characteristics of Dextran-
Page 473 and 474: preparative SEC. The capabilities o
Page 475 and 476: 37. GR Noll, N Nagle, JO Baker, DJ
Page 477 and 478: 16 Size Exclusion Chromatography of
Page 479 and 480: Figure 2 Separation of total E. col
Page 481 and 482: Figure 3 Separation of HaeIII-cleav
Page 483 and 484: The recovery of DNA fragments has b
Page 485 and 486: Endotoxin should also be removed fr
Page 487 and 488: Table 3 Best Columns for the Separa
Page 489 and 490: 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
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: Another detector recently applied i
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 and 546: ThisisimportantwhenLCCCisappliedtoc
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
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distributions of complex polymers a
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constituents were not discriminated
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(Sec. 7) and therefore they can be
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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:
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19 Methods and Columns for High-Spe
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Table 1 Summary of Methods for Incr
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not savealot of time and solvent, d
Page 579 and 580:
Figure 3 Conventional SEC chromatog
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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
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. Two-dimensional chromatography ru
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The standard deviations for the mol
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Figure 15 Comparison of time requir
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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
Page 607 and 608:
Page 609 and 610:
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)
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
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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
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These include the differential weig
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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
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homogeneous copolymer, that is, tak
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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
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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
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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
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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