Hyperbranched Polymers Macromolecules in between Deterministic Linear Chains and Dendrimer Structures 1 0 0 P F 8- 6 4 2 2 6 2 8 7 1 8 7 9 9/ 3 0 1 0. 1 oi: d g | or c. s s.r b u p p:// htt n o 5 1 0 2:15:34. 01 July 2 1on d e h s bli u P View Online RSC Polymer Chemistry Series Editor-in-Chief: Professor Ben Zhong Tang, The Hong Kong University of Science and Technology, Hong Kong, China 1 0 0 FP Series Editors: 8- 6 Professor Alaa S. Abd-El-Aziz, University of Prince Edward Island, Canada 4 2 2 Professor Stephen Craig, Duke University, USA 6 2 8 ProfessorJianhuaDong,NationalNaturalScienceFoundationofChina,China 7 1 8 Professor Toshio Masuda, Shanghai University, China 7 9 9/ Professor Christoph Weder, University of Fribourg, Switzerland 3 0 1 0. 1 Titles in the Series: oi: d 1: Renewable Resources for Functional Polymers and Biomaterials org | 2: Molecular Design and Applications of Photofunctional Polymers and sc. Materials bs.r 3: Functional Polymers for Nanomedicine u p://p 4: Fundamentals of Controlled/Living Radical Polymerization htt 5: Healable Polymer Systems on 6: Thiol-X Chemistries in Polymer and Materials Science 5 1 7: Natural Rubber Materials: Volume 1: Blends and IPNs 0 12:15:34. on 01 July 2 1890:::NCPooalntyujmuragelariRtceudMbPbaoeterlyrMmiaalestreswr:iiAathlsP:ArVancottilimucmaiclerGo2ub:iidaCleoAmtocptiSovysintiytte:hsFersaoinsmd NSyanntohceosmisptoosites d Applications e sh 11: Phosphorus-Based Polymers: From Synthesis to Applications ubli 12: Poly(lactic acid) Science and Technology: Processing, Properties, P Additives and Applications 13: Cationic Polymers in Regenerative Medicine 14: Electrospinning: Principles, Practice and Possibilities 15: Glycopolymer Code: Synthesis of Glycopolymers and their Applications 16: Hyperbranched Polymers: Macromolecules in between Deterministic Linear Chains and Dendrimer Structures How to obtain future titles on publication: Astandingorderplanisavailableforthisseries.Astandingorderwillbring delivery of each new volume immediately on publication. For further information please contact: BookSalesDepartment,RoyalSocietyofChemistry,ThomasGrahamHouse, Science Park, Milton Road, Cambridge, CB4 0WF, UK Telephone: þ44 (0)1223 420066, Fax: þ44 (0)1223 420247 Email: [email protected] Visit our website at www.rsc.org/books View Online Hyperbranched Polymers Macromolecules in between Deterministic Linear Chains and Dendrimer Structures 1 0 0 P F 8- 6 4 2 2 26 Albena Lederer 8 7 1 Leibniz Institute of Polymer Research, Dresden, Germany 8 7 9 Email: [email protected] 9/ 3 0 1 10. Walther Burchard doi: Albert-Ludwigs-University Freiburg, Freiburg, Germany g | Email: [email protected] or c. s s.r b u p p:// htt n o 5 1 0 2:15:34. 01 July 2 1on d e h s bli u P View Online 1 0 0 P F 8- 6 4 2 2 6 2 8 7 1 8 7 9 9/ 3 0 1 0. 1 oi: d g | or RSCPolymerChemistrySeriesNo.16 c. s bs.r PrintISBN:978-1-84973-394-6 u http://p PISDSFN:eI2S0B4N4-:0977980-1-78262-246-8 n o 5 AcataloguerecordforthisbookisavailablefromtheBritishLibrary 1 0 12:15:34. on 01 July 2 rAllArilgbhetnsareLseedrveerderandWaltherBurchard2015 d he Apartfromfairdealingforthepurposesofresearchfornon-commercialpurposesorfor s bli privatestudy,criticismorreview,aspermittedundertheCopyright,DesignsandPatents Pu Act1988andtheCopyrightandRelatedRightsRegulations2003,thispublicationmaynot bereproduced,storedortransmitted,inanyformorbyanymeans,withouttheprior permissioninwritingofTheRoyalSocietyofChemistry,orinthecaseofreproductionin accordancewiththetermsoflicencesissuedbytheCopyrightLicensingAgencyintheUK, orinaccordancewiththetermsofthelicencesissuedbytheappropriateReproduction RightsOrganizationoutsidetheUK.Enquiriesconcerningreproductionoutsidetheterms statedhereshouldbesenttoTheRoyalSocietyofChemistryattheaddressprintedon thispage. TheRSCisnotresponsibleforindividualopinionsexpressedinthiswork. Theauthorshavesoughttolocateownersofallreproducedmaterialnotintheirown possessionandtrustthatnocopyrightshavebeeninadvertentlyinfringed. PublishedbyTheRoyalSocietyofChemistry, ThomasGrahamHouse,SciencePark,MiltonRoad, CambridgeCB40WF,UK RegisteredCharityNumber207890 Forfurtherinformationseeourwebsiteatwww.rsc.org 5 0 0 P F Preface 8- 6 4 2 2 6 2 8 7 1 8 7 9 9/ 3 0 1 Hyperbranchedmacromoleculesareanintegralpartofnature.SinceFlory’s 0. oi:1 first successful effort to calculate such structures it took several decades g | d beforetheycouldbesynthesized.Inthe1980sthefirstsuccessinpreparing c.or polymers with AB2 monomers was reported. s Some40yearsagouncontrolledbranchingwasclassifiedasanundesired s.r b side-effect of polymerization, causing a delay in network formation. At pre- u p p:// sent the variety of defined branched architectures and their application htt potentials seem to be endless. Countless numbers of functional groups n o fascinated chemists, permitting modifications which are used for different 5 01 applications, such as processing or coatings. They also possess significant 2:15:35. 01 July 2 pthoetecnotmialpainctssetnrsuocrtiucrse, dcaiaugsneossaticdse,ccraetaasleysoisf athnedvtihsecroaspiteyutwichse.nInapapdldieitdioans, 1on additives to melts. d Challenging requirements for suitable tailoring of material properties e h blis generates the need to understand the molecular characteristics of hyper- u branched macromolecules. The discovery potential in this area is huge, P taking into account the statistical character and manifold modification possibilities. Academic interest in hyperbranched molecules has continu- ously increased during the past 20 years since the discovery by Kim and Webster. Morethan700researcharticlesperyearregardinghyperbranched polymers are reported, with a continuously growing tendency. Since Flory’s fundamental work major efforts have been undertaken to synthesize dendritic structures. With the appearance of hyperbranched molecules many new routes for applications have opened. Yet, only a few researchgroupsattempttounderstandtheirpropertiesbysuitabletheories. Preparative physical chemists commonly possess a widespread experi- mental experience but lack knowledge in modern theory. Vice versa, RSCPolymerChemistrySeriesNo.16 HyperbranchedPolymers:MacromoleculesinbetweenDeterministicLinearChainsand DendrimerStructures ByAlbenaLedererandWaltherBurchard rAlbenaLedererandWaltherBurchard2015 PublishedbytheRoyalSocietyofChemistry,www.rsc.org v View Online vi Preface theoreticianstendtohaveinsufficientinsightintothefeasibilityofpolymer sythesisforspecialstructures.Whenthepresenttwoauthorscametogether theyrecognizedthattheirexperienceoverlapped.Collaborationoverseveral years led to the idea to assemble this knowledge in a book. In this book we are attempt to present the knowledge of physical chem- 5 istrycharacterizationinasuitablemathematicalscheme.Themainproblem 0 0 P ofhyperbranchedstructuresarisesfromstatisticalprocessescombinedwith F 8- the formation of large structures. As far as we know, this book is the first 6 4 2 attempttobridgetheexperimentalandtheoreticalviewsinaconsistentway. 2 6 2 We hope that our book will support a new trend in future studies of 8 7 1 hyperbranched polymers. 8 7 9 9/ 3 0 1 0. 1 oi: d g | or c. s s.r b u p p:// htt n o 5 1 0 2:15:35. 01 July 2 1on d e h s bli u P 7 0 0 P F Contents 8- 6 4 2 2 6 2 8 7 1 8 7 9 9/ Acknowledgements xiii 3 0 1 0. 1 oi: Abbreviations xv d g | or c. Chapter 1 Introduction 1 s s.r ub 1.1 Overview 1 p p:// 1.2 Branched Polymers 3 htt 1.2.1 Dendrimers 6 n o 5 1.2.2 Hyperbranched Polymers 8 1 2:15:36. 01 July 20 1R.e3ferW1en.2hc.ye3sSoDluentidornitPicroHpyebrtriiedss? 111316 1on d e h Chapter 2 Degree of Branching 20 s bli u P 2.1 Definition of Branching 20 2.1.1 Contraction Factors 22 2.1.2 Degree of Branching 24 2.1.3 CorrelationBetweentheDegreeofBranching and Contraction 27 2.2 Determination of the Degree of Branching 28 2.2.1 Analysis by Spectroscopic Approaches 28 2.2.2 Influence of the Synthetic Approach on the Degree of Branching 30 2.2.3 Side Reactions and the Degree of Branching 33 References 35 RSCPolymerChemistrySeriesNo.16 HyperbranchedPolymers:MacromoleculesinbetweenDeterministicLinearChainsand DendrimerStructures ByAlbenaLedererandWaltherBurchard rAlbenaLedererandWaltherBurchard2015 PublishedbytheRoyalSocietyofChemistry,www.rsc.org vii View Online viii Contents Chapter 3 Control over the Conformation of Dendritic Polymers 39 3.1 Introduction 39 3.2 Tuning the Degree of Branching 42 3.2.1 The AB þAB Approach 42 2 07 3.2.2 The AB2þABB* Approach 47 0 P 3.2.3 Pseudo-dendrimers by AB Modification 50 F 2 8- 3.3 Control over Molar Mass 56 6 4 22 3.4 Variation of End-group Functionality 61 6 82 References 66 7 1 8 7 9 9/ Chapter 4 Separation and Determination of Molar Mass 69 3 0 1 0. 4.1 Determination of Absolute Molar Mass 69 1 oi: 4.2 Suitability of the Separation Technique 76 d g | 4.3 Novel Separation Methods for Dendritic Polymers 78 or c. 4.3.1 SeparationAccordingtoDegreeofBranching 81 s bs.r 4.3.2 ElutionPropertiesDependingonFunctionality 83 u p p:// References 86 htt n o Chapter 5 Solution Viscosity 88 5 1 0 12:15:36. on 01 July 2 55..12 GDSaeeknteuerrrmaadlinaRaeDtmieopanerknosdfethnecyKuhn–Mark–Houwink– 8938 d 5.3 The Viscosity Behaviour of Dendritic Polymers 97 e h blis 5.3.1 Dendrimers 97 Pu 5.3.2 Hyperbranched Polymers 99 5.3.3 Pseudo-dendrimers 102 5.3.4 Dendronized Polymers 105 5.4 Influence of Chemical Structure on Viscosity Behaviour 107 5.4.1 Influence of the Backbone Character 107 5.4.2 Influence of Functionality 110 5.5 Influence of Segmental Density on Viscosity and Scaling Characteristics 115 5.5.1 Gradually Increasing Statistical Branching 115 5.5.2 Pseudo-dendrimers with Increasing Generation 124 References 132 Chapter 6 Size Determination by Scattering Techniques 136 6.1 Introduction 136 View Online Contents ix 6.2 The Search for Non-invasive Structure Characterization 137 6.2.1 Microscopy 138 6.2.2 Rheology 139 6.2.3 Sedimentation by Ultracentrifugation 140 07 6.2.4 Application of Light 140 0 FP 6.3 Static Light Scattering 141 68- 6.3.1 Scattered Light from Point-like Scattering 4 2 2 Units: Correlation to Density and 6 2 8 Concentration Fluctuations 142 7 1 8 6.3.2 Effect of Polarization 144 7 9 9/ 6.3.3 Scattering from Particles of 3 10 Dimensions4l/20 145 0. oi:1 6.3.4 Molar Mass and Radius of Gyration 151 d 6.3.5 Summary: Static Light Scattering 154 g | or 6.4 Global Parameters 154 c. s 6.4.1 Mean Square Radius of Gyration 154 s.r b 6.4.2 Fractal Behaviour 158 u p p:// 6.4.3 Concentration Dependence 159 htt 6.4.4 Some Properties of the Second Virial n o Coefficient 161 5 01 6.4.5 Self-similarity 162 2:15:36. 01 July 2 6.5 D6y.n5a.1micInLtirgohdtuSctciaotntering 116644 1on 6.5.2 A Short Outline of the History of the d he Development of Optics 165 s bli 6.5.3 Brownian Motion and its Relation to u P Stochastic Processes 167 6.5.4 Time Correlation Functions 168 6.5.5 Comment on Averages and the Effect of External Forces 169 6.5.6 The Time Correlation Function in Dynamic Light Scattering 171 6.5.7 Flexible Particles: Linear and Branched Macromolecules in Solution 176 6.5.8 Small Particles: Proteins 177 6.5.9 Polydispersity and the Effects of Cluster Formation 179 6.5.10 Electrophoretic/Dynamic Light Scattering 180 6.5.11 Concentration Dependence 183 6.5.12 Summary: Dynamic Light Scattering 185 6.6 Effects of Heterodyne Light Scattering 185 View Online x Contents 6.7 Appendix: Aspects of Modern Theory of Segmental Dynamics 186 6.8 Recommended Literature 189 References 189 07 Chapter7 ModelCalculationofDifferentHyperbranchedStructures 193 0 P F 8- 7.1 Introduction 193 6 4 2 7.2 Conformation Properties of Branched Polymers in 2 6 2 the Light of a General Branching Theory 194 8 7 81 7.2.1 Some General Remarks 194 7 9/9 7.2.2 Basic Properties of the General Branching 3 0 Theory 196 1 0. 1 7.2.3 Generating Functions of Probable oi: d Distributions 196 g | or 7.2.4 Randomly Branched Polymers 199 c. s.rs 7.3 Angular Dependence of Scattered Light 204 ub 7.3.1 The General Scheme 204 p p:// 7.3.2 Radius of Gyration 206 n htt 7.3.3 Hydrodynamic Radius 206 o 15 7.3.4 AB2 Hyperbranched Samples 207 0 2:15:36. 01 July 2 77..33..56 DSSutermgurcmeteuaroreyf:PPUaornlaypmmereettrueirzrbsaetidonCoannfdorGmloabtiaolns 220089 1d on 7.4 Effects of Excluded Volume 210 e sh 7.4.1 Introduction: What Does Volume Exclusion bli u Mean? 210 P 7.4.2 The Flory Expansion Factor 211 7.4.3 Size Distribution of Real Chains 212 7.4.4 The Particle Scattering Factor, P(q) 213 7.4.5 FractalApproachtoFitsofMeasuredParticle Scattering Factors 215 7.4.6 The Radius of Gyration and Hydrodynamic Radius of Branched Macromolecules in Good Solvents 220 7.5 Summary 224 References 225 Chapter 8 Scaling Conception and Interpretation of Structural Parameters and Scattering Experiments 227 8.1 Molecular Properties in a Global Scale 227 8.1.1 General Comments 227 8.1.2 Molecular Parameters 228