Handbook of Size Exclusion Chromatography and Related ...

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oad range of scattering angles. Such measurements have permitted the deduction of molar mass, molecular mean square radius, and the second virial coefficient. Because measurement of scattered light at many angles seemed a difficult and time-consuming task, instrumentation was introduced to make measurements at fewer angles than theoretically desirable. With them came the need to retain the absolute concept of the terminology “light scattering” while at the same time differentiating their measurements from those capable of making the determinations over a full “range of angles.” The term “multi-angle light scattering,” or simply MALS, is often used to describe this full light scattering concept. To comply with this more recent designation, the term MALS will be used throughout this chapter to refer to general light scattering measurements. The term “absolute” is frequently seen in reference not only to results derived from MALS measurements, but also, inappropriately, to methods requiring calibration against standards of known molar mass. Just what is meant by the term “absolute”? A measurement of molar mass is said to be absolute if, and only if: . The measurement requires no reference to any mass standards. . All parameters of the measurement are determined directly. These include – refractive indices of all cells and fluids; – geometries of the sample cells and detectors (distances, shape, composition, and solid angles subtended at the sample by the scattered light detectors); – wavelength of the light source; – concentrations of the solutes; – response of the detectors (for example, for a DRI detector, the relation between the output voltage change and the corresponding change of fluid refractive index); – temperature and its effects on the physical parameters of the experiment. . There is no a priori assumption of molecular conformation and/or structure. Some types of instruments use light scattering for their determinations, but require calibration, as the solvent refractive index is changed, with mass standards for each such solvent. They are not absolute as they become totally dependent on the stability and reproducibility of the standards employed. This chapter focuses on many of the elements of the MALS measurement technique that can affect the final results. It lists some of the causes of erroneous results and (hopefully) provides helpful guidance to various features of the instrumentation that are often overlooked. A major objective of the chapter, © 2004 by Marcel Dekker, Inc.
therefore, is to remove any lingering doubts about the power of the method. A summary of some of the key historical events of the light scattering method are mentioned in the next section. This is followed by a brief description of the theory and its implementation via modern instrumentation. Next follows an explicit explanation of the significance of absolute measurements and the importance of the multi-angle, traditional measurement itself. Discussions follow of the many problem areas relating to chromatographic separations in general and their effects on light scattering. Included here are discussions of band broadening and mobile phase preparation. 2 SOME BRIEF HISTORICAL NOTES Although light scattering techniques were well known and understood in many respects in the 19th and 20th centuries, it was not until the seminal works of Einstein (2), Raman (3), Debye (4), and Zimm (5,6) were all brought together by the mid 1940s that the true power of the technique became recognized. By the 1930s, the possibility that proteins were distinct macromolecules was resolved by the early 908 light scattering experiments of Putzeys and Brosteaux (7). Their measurements appeared to confirm this hypothesis since the scattered light intensity, from light scattering theory, was known to be directly proportional to the weight-average molar mass times the molecular concentration. The first commercial light scattering photometer incorporating a laser was introduced by Wyatt and Phillips (8) in 1970. The early applications of these instruments were directed almost entirely to measurements of colloids and microorganisms. In about 1972, Beckman Instruments introduced instrumentation, with the primary focus of measuring macromolecules, incorporating a laser to make measurements at very small scattering angles (9,10). The instrumentation (referred to as low-angle laser light scattering, or LALLS) was developed further and fully commercialized by the Chromatix. As discussed further in the next section, such low-angle measurements permitted the deduction of the molar mass of light-scattering molecules directly. Although size exclusion chromatography (SEC) was developed by Moore (11) in 1964, it was not until the early 1970s that Ouano and Kaye (12) showed how the combination of SEC separation and LALLS could produce a quantitative distribution of molar mass. Whereas until that time, the classical light scattering methods of Zimm could yield at best a weight-averaged molar mass, here at last was a remarkable result that showed finer details of the samples so examined. 3 SOME ELEMENTS OF THE THEORY In Zimm’s earlier papers, he showed the relationship between the light scattering quantities measured and the physical elements of the measurement itself. In © 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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© 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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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
Page 475 and 476:
37. GR Noll, N Nagle, JO Baker, DJ
Page 477 and 478:
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
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
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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
Page 533 and 534:
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
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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
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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
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(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: © 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
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: 21 Light Scattering and the Solutio
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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