Retention Mechanism of Branched Macromolecules in Size Exclusion Chromatography

. 2020 Jun 23 ; 5 (24) : 14254-14260. [epub] 20200610

Status PubMed-not-MEDLINE Jazyk angličtina Země Spojené státy americké Médium electronic-ecollection

Typ dokumentu časopisecké články

Perzistentní odkaz   https://www.medvik.cz/link/pmid32596561

The theory of Stockmayer in the modifications of Thurmond and Zimm has been used for the description of the size exclusion chromatography separation of randomly branched molecules with tetrafunctional branch points. It is assumed that free chain ends, created by the branching process, cause the molecules to be entrapped in the pores of the column packing with the time of their release given by the exponential law characteristic for the monomolecular reactions. Using this assumption, the anomalous elution behavior of such molecules can be modeled. With increasing elution volume, the average values of radius of gyration and, to a lesser degree, of molecular weight decrease and, after passing a minimum, again increase in the low-molecular weight region.

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Podzimek S.; Vlček T.; Johann C. Chromatography of Branched Polymers by Size Exclusion Chromatography Coupled with Multiangle Light Scattering Detector. I. Size Exclusion Chromatography Elution Behaviour of Branched Polymers. J. Appl. Polym. Sci. 2001, 81, 1588–1594. 10.1002/app.1589. DOI

Gerle M.; Fischer K.; Roos S.; Müller A. H. E.; Schmidt M.; Sheiko S. S.; Prokhorova S.; Möller M. Main Chain Conformation and Anomalous Elution Behavior of Cylindrical Brushes as Revealed by GPC/MALLS, Light Scattering, and SFM. Macromolecules 1999, 32, 2629–2637. 10.1021/ma9816463. DOI

Wyatt P. J. Light Scattering and the Absolute Characterization of Macromolecules. Anal. Chim. Acta 1993, 272, 1–40. 10.1016/0003-2670(93)80373-s. DOI

Johann C.; Kilz P. Utilization of Size-Exclusion Chromatography/Multiangle Laser Light Scattering for the Analysis of Structured Polymers. J. Appl. Polym. Sci.: Appl. Polym. Symp. 1991, 48, 111–122. 10.1002/app.1991.070480010. DOI

Percec V.; Ahn C.-H.; Cho W.-D.; Jamieson A. M.; Kim J.; Leman T.; Schmidt M.; Gerle M.; Möller M.; Prokhorova S. A.; Sheiko S. S.; Cheng S. Z. D.; Zhang A.; Ungar G.; Yeardley D. J. P. Visualizable Cylindrical Macromolecules with Controlled Stiffness from Backbones Containing Libraries of Self-Assembling Dendritic Side Groups. J. Am. Chem. Soc. 1998, 120, 8619–8631. 10.1021/ja981211v. DOI

Stockmayer W. H. Theory of Molecular Size Distribution and Gel Formation in Branched-Chain Polymers. J. Chem. Phys. 1943, 11, 45–55. 10.1063/1.1723803. DOI

Stockmayer W. H. Theory of Molecular Size Distribution and Gel Formation in Branched Polymers. J. Chem. Phys. 1944, 12, 125–131. 10.1063/1.1723922. DOI

Thurmond C. D.; Zimm B. H. Size and shape of the Molecules in Artificially Branched Polystyrene. J. Polym. Sci. 1952, 8, 477–494. 10.1002/pol.1952.120080505. DOI

Netopilík M.; Kratochvíl P. Distribution of Degrees of Polymerization in Statistically Branched Polymers with Tetrafunctional Branch Points: Model Calculations. Polym. Int. 2006, 55, 196–203. 10.1002/pi.1941. DOI

Dimitrov D. I.; Milchev A.; Binder K. Polymer Brushes in Cylindrical Pores: Simulation versus Scaling Theory. J. Chem. Phys. 2006, 125, 034905.10.1063/1.2211615. PubMed DOI

Podzimek S.Light Scattering, Size Exclusion Chromatography and Asymetric Field Flow Fractionation; J. Wiley & Sons, Inc., 2011.

Podzimek S. Truths and Myths about the Determination of Molar Mass Distribution of Synthetic and Natural Polymers by Size Exclusion Chromatography. J. Appl. Polym. Sci. 2014, 131, 40111.10.1002/app.40111. DOI

Zimm B. H.; Stockmayer W. H. The Dimensions of Chain Molecules Containing Branches and Rings. J. Chem. Phys. 1949, 17, 1301–1314. 10.1063/1.1747157. DOI

Shortt D. W. Differential Molecular-Weight Distributions in High Performance Size Exclusion Chromatography. J. Liq. Chromatogr. 1993, 16, 3371–3391. 10.1080/10826079308019695. DOI

Venkataswamy K.; Jamieson A. M.; Petschek R. G. Static and Dynamic Properties of Polystyrene in Good Solvents: Ethylbenzene and Tetrahydrofuran. Macromolecules 1986, 19, 124–133. 10.1021/ma00155a020. DOI

Lastoskie C.; Gubbins K. E.; Quirke N. Pore Size Distriution Analysis of Microporous Carbons: A Density Functional Theory Approach. J. Phys. Chem. 1993, 97, 4786–4796. 10.1021/j100120a035. DOI

Farmer B. S.; Terao K.; Mays J. W. Characterization of Model Branched Polymers by Multi-detector SEC in good and Theta Solvents. Int. J. Polym. Anal. Charact. 2006, 11, 3–19. 10.1080/10236660500484213. DOI

Giddings J. C.; Eyring H. A molecular Dynamic Theory of Chromatography. J. Phys. Chem. 1955, 59, 416–421. 10.1021/j150527a009. DOI

Tung L. H. Method of Calculating Molecular Weight Distribution Function From Gel Permeation Chromatogram. J. Appl. Polym. Sci. 1966, 10, 375–385. 10.1002/app.1966.070100303. DOI

Grushka E. Characterization of Exponentially Modified Gaussian Peaks in Chromatography. Anal. Chem. 1972, 44, 1733–1738. 10.1021/ac60319a011. PubMed DOI

Hanggi D.; Carr P. W. Errors in Exponentially Modified Gaussian Equations in the Literature. Anal. Chem. 1985, 57, 2394–2395. 10.1021/ac00289a051. DOI

Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables; Abramowitz M., Stegun I., Eds.; Applied Mathematics Series 55; National Bureau of Standards, tenth printing, 1972.

Kratochvíl P.; Huglin M. B.. Light Scattering from Polymer Solutions; Academic Press: London and New York, 1972; p 345.

Chekal B. P.Understanding the Roles of Chemically-Controlled and Diffusion-Limited Processes in Determining the Severity of Autoacceleration Behavior in Free Radical Polymerization; Northwestern University, 2002.

Bannister I.; Billingham N. C.; Armes S. P.; Rannard S. P.; Findlay P. Development of Branching in Living Radical Copolymerization of Vinyl and Divinyl Monomers. Macromolecules 2006, 39, 7483–7492. 10.1021/ma061811b. DOI

Yang H.-J.; Jiang B.-B.; Huang W.-Y.; Zhang D.-L.; Kong L.-Z.; Chen J.-H.; Liu C.-L.; Gong F.-H.; Yu Q.; Yang Y. Development of Branching in Atom Transfer Radical Copolymerization of Styrene with Triethylene Glycol Dimethacrylate. Macromolecules 2009, 42, 5976–5982. 10.1021/ma900459g. DOI

Huang W.; Yang H.; Xue X.; Jiang B.; Chen J.; Yang Y.; Pu H.; Liu Y.; Zhang D.; Kong L.; Zhai G. Polymerization Behaviors and Polymer Branching Structures in ATRP of Monovinyl and Divinyl Monomers. Polym. Chem. 2013, 4, 3204–3211. 10.1039/c3py00338h. DOI

Netopilík M. Towards Ideal Separation by Size-Exclusion Chromatography. J. Chromatogr. A 2017, 1487, 139–146. 10.1016/j.chroma.2017.01.038. PubMed DOI

Netopilík M. Size-exclusion-chromatography Separation of Randomly Branched Polymers with Tetrafunctional Branch Points and Local Dispersity. J. Chromatogr. A 2012, 1260, 97–101. 10.1016/j.chroma.2012.08.055. PubMed DOI

Grubisic Z.; Rempp P.; Benoit H. A Universal Calibration for Gel Permeation Chromatography. J. Polym. Sci., Part B: Polym. Lett. 1967, 5, 753–759. 10.1002/pol.1967.110050903. DOI

Goldwasser J. M.Absolute M̅n Determination by Gel Permeation Chromatography-Differential Viscometry. In Chromatography of Polymers, Characterization by SEC and FFF; Provder T., Ed.; ACS Symposium Series 521; American Chemical Society: Washington, DC, 1993; p 243.

Netopilík M.; Podešva J.; Lokaj J.; Kratochvíl P. Number-average Molecular Weight of Branched Polymers from SEC with Viscosity Detection and Universal Calibration. Polym. Int. 2008, 57, 1152–1158. 10.1002/pi.2458. DOI

Castignolles P. Transfer to Polymer and Long-chain Branching in PLP-SEC of Acrylates. Macromol. Rapid Commun. 2009, 30, 1995–2001. 10.1002/marc.200900530. PubMed DOI

Edam R.; Meunier D. M.; Mes E. P. C.; Van Damme F. A.; Schoenmakers P. J. Branched Polymer Separations Using Comprehensive Two-Dimensional Molecular-Topology Fractionation × Size-exclusion Chromatography. J. Chromatogr. A 2008, 1201, 208–214. 10.1016/j.chroma.2008.05.072. PubMed DOI

Bungu P. S. E.; Pflug K.; Pasch H. Combination of preparative and two-dimensional chromatographic fractionation with thermal analysis for the branching analysis of polyethylene. Polym. Chem. 2018, 9, 3142–3157. 10.1039/c8py00522b. DOI

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