Progress in Polymer Science 34 (2009) 317–350 Contents lists available at ScienceDirect Progress in Polymer Science journal homepage: www.elsevier.com/locate/ppolysci Synthesis of functional polymers with controlled architecture by CRP of monomers in the presence of cross-linkers: From stars to gels Haifeng Gao, Krzysztof Matyjaszewski ∗ Department of Chemistry, Carnegie Mellon University, 4400 Fifth Avenue, Pittsburgh, PA 15213, United States a r t i c l e i n f o Article history: Received 8 October 2008 Received in revised form 6 January 2009 Accepted 6 January 2009 Available online 7 February 2009 Keywords: Controlled/“living” radical polymerization (CRP) Atom transfer radical polymerization (ATRP) Cross-linker Star polymer Gels Click reactions a b s t r a c t Recent developments in the synthesis of functional polymers with controlled architecture and site-specific functionality via applying controlled radical polymerization (CRP) techniques are reviewed. Particular emphasis is placed on the strategy of employing divinyl cross-linkers to introduce branching points into polymer chains during the copolymerization procedures. By rational selection of initiator, monomer and divinyl cross-linker and their polymerization sequence, star-like polymers with a cross-linked core but various arm compositions and site-specific functionalities are formed. In contrast, concurrent copolymerization of both monomer and cross-linker generates “randomly” branched polymers or gels. As compared to the conventional radical copolymerization procedures, the copolymerization of cross-linker in CRP processes shows retarded gelation behavior and produced branched polymers and/or gels with more homogeneous structure and preserved chain-end functionality. This is because of the fast initiation and quick reversible deactivation reactions in CRPs. Progress related to other synthetic strategies to introduce branching points in polymer chains is also discussed, including the use of a multifunctional initiator, the use of a multifunctional coupling agent (MCA) by click reactions, and the use of an AB* inimer. © 2009 Elsevier Ltd. All rights reserved. Contents 1. 2. 3. Introduction and scope . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . General features of various CRP techniques . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Synthesis of star polymers with a cross-linked core by sequential polymerization of monomer and cross-linker via CRP techniques . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.1. Synthesis of star polymers by the “arm-first” method: polymerization of monomer before the addition of cross-linker 3.1.1. Synthesis of star polymers with a cross-linked core by ATRP . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.1.2. Synthesis of star polymers with a cross-linked core by NMP . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.1.3. Synthesis of star polymers with a cross-linked core by RAFT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.1.4. Synthesis of star polymers with a cross-linked core by other CRP techniques . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.1.5. Synthesis of miktoarm star copolymers by the “in-out” method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.1.6. Synthesis of miktoarm star copolymers with a cross-linked core by a general “arm-first” method . . . . . . . . . . . . ∗ Corresponding author at: Department of Chemistry, Carnegie Mellon University, J.C. Warner University Professor of Natural Sciences, 4400 Fifth Avenue, Pittsburgh, PA 15213, United States. Tel.: +1 412 268 3209; fax: +1 412 268 6897. E-mail address: [email protected] (K. Matyjaszewski). 0079-6700/$ – see front matter © 2009 Elsevier Ltd. All rights reserved. doi:10.1016/j.progpolymsci.2009.01.001 318 319 321 322 322 325 325 325 326 326 318 H. Gao, K. Matyjaszewski / Progress in Polymer Science 34 (2009) 317–350 3.2. 4. 5. 6. Synthesis of star polymers with a cross-linked core by a novel “core-first” method: polymerization of cross-linker before the addition of monomer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 327 3.3. Applications for star and miktoarm star copolymers with cross-linked cores (nanogels) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 328 3.3.1. Application of star polymers with a cross-linked core as nanocontainers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 329 3.3.2. Application of charged star polymers as building blocks for a multilayer film . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 330 Synthesis of branched polymers and/or gels by copolymerization of monomer and cross-linker via CRP techniques . . . . . . . . . . 330 4.1. Flory–Stockmayer’s statistical theory: prediction of the gel point . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 331 4.2. Differences in the gelation process between RP and CRP . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 332 4.3. Synthesis of branched polymers and gels via CRP techniques . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 332 4.4. CRP of cross-linker in dispersed media: synthesis of cross-linked microgels . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 334 4.5. Avoiding gelation in conventional RP by using chain transfer agent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 334 Other strategies for introduction of branching points . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 335 5.1. Introduction of branching points using an inimer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 335 5.2. Introduction of branching points using multifunctional initiators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 336 5.2.1. Synthesis of star and miktoarm star polymers by the “core-first” method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 336 5.2.2. Synthesis of molecular brushes by the “grafting-from” method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 337 5.3. Introduction of branching points using multifunctional coupling agents (MCAs) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 338 5.3.1. Synthesis of star polymers by the “coupling-onto” method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 338 5.3.2. Synthesis of brush/grafted copolymers by the “grafting-onto” method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 339 5.3.3. Synthesis of model networks by using MCA in CRPs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 341 5.4. Synthesis of brush/grafted copolymers using the “grafting-through” method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 341 Summary and outlook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 341 Acknowledgements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 342 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 342 1. Introduction and scope Since the mid-1990s, the field of polymer chemistry has witnessed the explosive development of a number of procedures for conducting a controlled/“living” radical polymerization (CRP) [1,2]. CRP allows the synthesis of various types of functional polymeric materials and provides the capability of designing polymers with controlled molecular weight and molecular weight distribution (MWD), in addition to controlled chemical composition, chain-sequence distribution, site-specific functionality and predeterminable topology [3–5]. One major effort, in the area of polymer topology, focuses on the synthesis of well-defined macromolecules with precisely controlled architecture by incorporating site-specific branching points and functionalities [6]. CRP techniques allow branching points to be introduced into a macromolecule by three different strategies using: multifunctional initiators, multifunctional coupling agents and multivinyl cross-linkers (especially divinyl cross-linkers). Depending on the functionality, the number and relative arrangement of the branching points within the macromolecule, polymers having a branched architecture can be further classified as: star polymers, molecular brushes/grafted polymers, randomly branched polymers, hyperbranched polymers, dendrimers and gels (Scheme 1) [7,8]. For example, an ideal star polymer contains an n-functional branching point at the central core and n emanating arms. Molecular brushes and/or densely grafted copolymers contain many 3- or 4-functional branching points, distributed along a linear backbone and, consequently, hundreds of side chains [9,10]. In randomly branched polymers, the branching units are statistically distributed throughout the macromolecule, similar to the structure of an insoluble gel, although the lat- ter is a macroscopic network with “infinite” molecular weight. In this review, we will discuss strategies recently developed for the synthesis of branched polymers with controlled architecture and site-specific functionality. The review will focus on the approach of employing divinyl cross-linkers to introduce branching points (cross-linkages) into polymer chains during various controlled radical copolymerization (CRcP) procedures. Other synthetic strategies, commonly used to introduce branching points in polymer chains during CRPs, include the use of multifunctional initiator, multifunctional coupling agent (MCA) or an AB* inimer (containing a double bond A and initiator fragment B* in one molecule) [11]. They will be briefly discussed in a separate section. Rational selection of functional initiators, monomers and/or divinyl cross-linkers for the copolymerization, allows incorporation of a variety of functionalities into the copolymer and the preparation of materials with predetermined properties, such as degradability, biocompatibility and environmental sensitivity. The structure of the copolymers can be varied by simply changing the sequence of the polymerization of the monomer and cross-linker. They will include soluble star-like polymers with a cross-linked core and linear radiating arms, highly branched copolymers, as well as insoluble gels. Star-like polymers with a cross-linked core are formed either when the monomer is polymerized prior to addition of cross-linker, or if polymerization of monomer occurs after cross-linker. Each approach results in the formation of a star, but with different sitespecific functionality depending on the time of addition. Concurrent copolymerization of monomer and crosslinker generates “randomly” branched polymers or gels (Scheme 2). H. Gao, K. Matyjaszewski / Progress in Polymer Science 34 (2009) 317–350 Nomenclature AA acrylic acid ARGET activators regenerated by electron transfer ATRcP atom transfer radical copolymerization ATRP atom transfer radical polymerization BA n-butyl acrylate tBA tert-butyl acrylate BMA n-butyl methacrylate bpy 2,2 -bipyridine BiBEMI N-[2-(2-bromoisobutyryloxy)ethyl]maleimide Conv conversion CRcP controlled radical copolymerization CRP controlled/“living” radical polymerization Cu copper DA Diel–Alder DMA N,N-dimethylacrylamide DMAEMA 2-(dimethylamino)ethyl methacrylate DMF N,N-dimethylformamide DOTA 1,4,7,10-tetraazacyclododecane-1,4,7tris(acetic acid-t-butyl ester)-10-acetic acid DP degree of polymerization DB degree of branching DVB divinylbenzene EBrP ethyl 2-bromopropionate EGDA ethylene glycol diacrylate EGDMA ethylene glycol dimethacrylate F–S Flory–Stockmayer GPC gel permeation chromatography HEMA 2-hydroxyethyl methacrylate kact activation rate constant in ATRP deactivation rate constant in ATRP kdeact kd dissociation rate constant kexchange degenerative chain transfer rate constant kp propagation (polymerization) rate constant termination rate coefficient kt LbL layer-by-layer LCCC liquid chromatography under critical conditions M monomer MA methyl acrylate MCA multifunctional coupling agent Me6 TREN tris[2-(N,N-dimethylamino)ethyl]amine MI macroinitiator MM macromonomer MMA methyl methacrylate Mn number-average molecular weight Mw weight-average molecular weight MWD molecular weight distribution NAS N-acryloxysuccinimide NMP nitroxide mediated polymerization NMR nuclear magnetic resonance [PC] primary chain concentration PCL poly(-caprolactone) PDMS poly(dimethylsiloxane) PEO poly(ethylene oxide) PEOMA poly(ethylene oxide) methyl ether methacrylate PMDETA PPh3 PRE P-X Py-Br RAFT RcP ROP RP Ru R-X SCVCP SCVP SS St TEMPO UCST X 319 N,N,N ,N ,N -pentamethyldiethylenetriamine triphenylphosphine persistent radical effect halogen-terminated polymer chain 1-pyrenebutyl 2-bromoisobutyrate reversible addition-fragmentation chain transfer radical copolymerization ring-opening polymerization conventional radical polymerization ruthenium alkyl halide self-condensing vinyl copolymerization self-condensing vinyl polymerization bis(methacryloyloxyethyl) disulfide styrene tetramethyl piperidyl-N-oxyl upper critical solution temperature cross-linker 2. General features of various CRP techniques In the current market, nearly 50% of all commercial synthetic polymers are produced via conventional radical polymerization (RP) processes [8,12]. The widespread use of RP for polymer synthesis is largely due to its versatility, synthetic ease, and compatibility with a wide variety of functional groups, coupled with its tolerance to water and protic media. As any chain-growth polymerization, RP comprises four elementary reactions: initiation, propagation, transfer and termination. In the absence of any mediating reagent, the radicals are usually generated via thermal decomposition of initiators and quickly polymerize vinyl monomers, via a chain-building propagation reaction. It is followed by bimolecular radical–radical coupling or disproportionation termination and transfer reactions [13]. The slow and continuous initiation process used in a conventional RP results in formation of polymers with a broad MWD and does not provide a means to control molecular structure. Moreover, the continuous termination reactions in RP lead to nearly all of the polymer chains being “dead” at any given instant, i.e., without capability for further chain extension. Therefore, in conventional Scheme 1. Illustration of branched polymers with various topologies. 320 H. Gao, K. Matyjaszewski / Progress in Polymer Science 34 (2009) 317–350 Scheme 2. Influence of the sequence of addition and incorporation of cross-linker (X) and monomer on polymer architectures during atom transfer radical copolymerization (ATRcP) of monomer (M) and cross-linker using R-Br as initiator. RP it is essentially impossible to prepare polymers with predetermined molecular weight and/or polymers with well-defined microstructures, such as block copolymers and gradient copolymers. On the other hand, since the introduction of the concept of “living” polymers in the 1950s [14], well-defined polymers with uniform size, desired functionality and various architectures have been prepared using living ionic polymerization techniques. However, ionic polymerization techniques [2,7,15], such as anionic and cationic, are not suitable for the (co)polymerization of a wide range of functional vinyl monomers, mainly due to the incompatibility of the growing polymer chain ends (anions or cations) with numerous functional groups and certain families of monomers. In addition, these ionic polymerization techniques require stringent reaction conditions, such as ultrapure regents and complete exclusion of water and air [16]. Synthetic polymer chemists sought to develop new polymerization strategies to overcome these limitations and combine the chemical robustness of conventional RP with a high level of control over polymer composition and architecture. Consequently, the field of CRP has witnessed an explosive growth in terms of both synthetic possibilities and mechanistic understanding [1,2]. All CRPs proceed through the same radical mechanism and the same radical intermediates as conventional RP. They exhibit similar chemo-, regio- and stereo-selectivities, and can copolymerize a similar range of monomers [2]. However, in contrast to conventional RP, the fundamental features of CRPs include fast initiation and a dynamic equilibrium between a low concentration of propagating radicals and a large amount of dormant reactivatable species. This concept originates from “living” cationic polymerization and minimizes the contribution of chain breaking reactions and provides structural control over the polymers. In CRP, the fast initiation reactions, relative to propagation reactions, result in all polymer chains undergoing initiation at approximately the same time and a nearly constant number of chains growing throughout the polymerization, which enables control over chain architecture. The dynamic equilibrium, a fast exchange reaction between a low concentration of propagating radicals and a large amount of dormant species, leads to a fast deactivation of growing radicals before less than a few monomer units are added to the chain end. The lifetime of growing chains is extended from ∼1 s in conventional RP to more than 1 h in CRP due to the intermittent reversible activation of the dor- mant species. The proportion of terminated chains in CRP is much lower than in RP (≤10% vs. ∼100%), which ultimately enables control over chain-end functionality and chain architecture [2]. Three different mechanisms of intermittent activation are employed in CRPs. They include: dissociation– combination, represented by nitroxide mediated polymerization (NMP) [17,18] or organometallic radical polymerization [19,20]; catalytic atom (group) transfer, represented by atom transfer radical polymerization (ATRP) [21–25]; and degenerative chain transfer, represented by iodine mediated polymerization [26–29] or reversible additionfragmentation chain transfer (RAFT) [30–32] polymerization. During these CRP processes, the active radicals either undergo a reversible activation/deactivation process (i.e., NMP and ATRP), or participate in a degenerative transfer reaction (e.g., RAFT) to assure simultaneous growth of all chains. In NMP process, the dormant species is cleaved by a thermal or photochemical stimulus to produce the stable free radical and the active propagating radical (Scheme 3A). The ATRP process is kinetically similar to NMP, except that the activation process includes the participation of both a dormant species and a catalyst-based activator, a lower oxidation state metal complex. The higher oxidation state metal complex formed in this activation procedure functions as the deactivator (Scheme 3B). Both NMP and ATRP are controlled by the persistent radical effect (PRE) [33–35], which describes the procedure for self-regulation of the concentration of active radicals. In other words, every radical–radical termination leads to an irreversible accumulation of deactivator, which shifts the equilibrium towards the dormant species and consequently decreases the probability of termination reactions. The persistent radicals can be deliberately added to the reaction to increase the initiation efficiency and reduce the termination reactions that occurred during the initial nonstationary stage. The difference between NMP and ATRP is that stoichiometric amount of mediating agent (e.g., nitroxide) is required to cap all dormant chains in the NMP system. In contrast, the amount of transition metal catalyst added to an ATRP can be sub-stoichiometric because the catalytic process in ATRP employs an atom (or group) as capping group, which transfers between growing chains and a redox active catalyst [36–41]. The RAFT process is a degenerative chain transfer reaction and is not based on the PRE (Scheme 3C). Its overall kinetics and polymerization rate resemble a conventional RP process with slow initiation and fast termination reac- H. Gao, K. Matyjaszewski / Progress in Polymer Science 34 (2009) 317–350 321 Scheme 3. General schemes of NMP, ATRP and RAFT polymerization processes. tions [34]. However the chain transfer agent employed to provide control, such as dithioester or xanthate, is present at a much higher concentration than the radical initiator and quickly exchanges a group/atom among all growing chains. Thus, the transfer agent plays the role of the dormant species to provide control over molecular weights and polydispersity. The ability of CRP techniques to control molecular weight and polydispersity and to provide access to welldefined molecular architecture, originates from both fast initiation of all chains and limitation of the chain growth during each activation cycle to a level where the contribution of chain breaking reactions is negligible. Since the invention of these various CRP techniques, they have been constantly improved and applied to the preparation of welldefined polymers with controlled chemical compositions, molecular weights and MWDs, chain-sequence distributions, functionalities and topologies. 3. Synthesis of star polymers with a cross-linked core by sequential polymerization of monomer and cross-linker via CRP techniques Among the spectrum of polymers with complex architectures, star polymers provide one of the simplest arrangement of linked chains, because a structurally welldefined star polymer contains only one central branching point, the core of the star, and multiple emanating arms. The study of star polymers provides an insight to understand the fundamental structure–property relationship of branched polymeric chains in solution and/or melt state [42,43]. Moreover, star polymers possess several distinct features, including globular shape, core–shell microstructure with multiple radiating arms and chain-end functionalities. In many cases, star polymers can be considered to be analogs of dendrimers. Star polymers have a wide range of potential applications in drug delivery, membranes, coatings and lithography [44–47], but with much lower synthetic cost than dendrimers. Based on the chemical compositions of the arm species, star polymers can be classified into two categories (Scheme 4): homoarm (or regular) star polymer and miktoarm (or heteroarm) star copolymer [7,48]. Homoarm star polymers consist of a symmetric structure comprising radiating arms with similar molecular weight and identical chemical composition. In contrast, a miktoarm star molecule contains two or more arm species with different chemical compositions and/or molecular weights [48]. Star polymers are usually synthesized via one of three common strategies: “core-first” by growing arms from a multifunctional initiator (Section 5.2.1); “coupling-onto” by attaching linear arm precursors onto a multifunctional core (Section 5.3.1) and the “arm-first” method by cross-linking preformed linear arm precursors using a divinyl compound. These three synthetic strategies are different from each other based on the sequence of the formation of the core and the arms. Scheme 4. Categories of star polymers. 322 H. Gao, K. Matyjaszewski / Progress in Polymer Science 34 (2009) 317–350 Scheme 5. Synthesis of star polymers with a cross-linked core via ATRP using the “arm-first” method. 3.1. Synthesis of star polymers by the “arm-first” method: polymerization of monomer before the addition of cross-linker The three most popular CRP techniques, e.g., ATRP, NMP and RAFT polymerization, have been applied to the synthesis of star polymers with a cross-linked core by cross-linking reactive linear chains using a divinyl cross-linker. Since the formation of linear chains (arm precursors) by polymerization of monovinyl monomer is essentially complete before the formation of the crosslinked core via polymerization of cross-linker, this method is strategically termed as the “arm-first” route for the synthesis of star polymers. The “arm-first” method was first developed in the context of anionic polymerization [49,50]. This approach has been later extensively employed using different CRP methods for the synthesis of various functional star polymers, because of the easy experimental setup and broad range of monomers in CRP. The addition of a cross-linker to a solution containing linear macroinitiator (MI) with reactivatable chain-end initiating site initially generates pendant vinyl groups during the polymerization of cross-linker from the linear chain. The highly cross-linked core is formed through intermolecular reactions between the chain-end radicals and the pendant double bonds. It produces a star polymer with a statistical distribution of the number of incorporated arms (Scheme 5). Furthermore, star–star coupling reactions concomitantly occur, increasing the star molecular weights and leading to a broader MWD for the obtained star molecules. The average number of arms attached to a star core depends on several experimental parameters, including the degree of polymerization (DP) and composition of the arm precursor, the chemical nature of cross-linker, the amount and the addition moment of cross-linker. Incomplete incorporation of linear arm precursors into the formed star is a common problem in this “arm-first” method, which could be explained by the loss of chain-end initiating sites or a buildup of steric hindrance around the core, as the coupling reactions proceed [51]. 3.1.1. Synthesis of star polymers with a cross-linked core by ATRP 3.1.1.1. Linear macroinitiator as arm precursor (MI method). The first synthesis of star polymers with a cross-linked core by ATRP was reported in 1999. Polystyrene-based linear MIs containing bromine chain-end functionality were crosslinked by using various divinyl cross-linkers in anisole at 110 ◦ C [52]. The structure of the resulting star polymer could be denoted as (polySt)n -polyX, where polyX represents the core of the star polymer and n is the average number of polySt arms per star molecule. The use of divinylbenzene (DVB, 1 in Scheme 6) led to the formation of star polymers with the best controlled structure, as compared to other cross-linkers, such as ethylene glycol diacrylate (EGDA, 2 in Scheme 6) and ethylene glycol dimethacrylate (EGDMA, 3 in Scheme 6). A molar ratio of DVB to polySt MI between 5 and 15 was found optimal for the formation of stars with fairly high star yield but the star product was contaminated with residual linear chains and exhibited broad MWD due to star–star coupling reactions. Following a similar route, chain-end functionalized (polytBA)n -polyDVB star polymers were synthesized through the use of functional ATRP initiators for the synthesis of linear poly(tert-butyl acrylate) MIs [53]. Various functional groups, e.g., epoxy, amino, cyano or bromo, were introduced into the chain end of each arm, the periphery of the formed star. The prepared (polytBA)n -polyDVB star polymers could subsequently be functionalized by hydrolysis of the tert-butyl groups to prepare (polyAA)n -polyDVB stars with polyelectrolyte arms (AA: acrylic acid) [54]. Instead of isolating and purifying the linear polytBA MIs, cross-linker could be added to the polymerizing system at certain tBA conversion to produce higher yield star polymers with a cross-linked core in a one-pot reaction (Scheme 7) [55]. The timing of addition of the subsequent DVB at different tBA conversions significantly affected the structure of star polymers formed in these reactions. For instance, by keeping the initial molar ratio of [tBA]0 /[EBrP]0 = 50/1 constant, earlier addition of DVB resulted in formation of a shorter polytBA arm precursor and consequently more tBA monomer remained for copolymerization with DVB. This produced star polymers with looser core, more arms per star molecule, and broader MWD. Sawamoto also applied the “arm-first” approach to the synthesis of star polymers containing polymethacrylate arms using ruthenium (Ru)-based catalyst complexes and various divinyl cross-linkers, such as dimethacrylate- and dimethacrylamide-based compounds (4–9 in Scheme 6) [56–58]. In addition to investigating the influence of experimental parameters on the structures of the star polymers, they reported the synthesis of functionalized star polymers by introducing various functionalities into the star core [59,60] and the star periphery [61]. After this pioneering work on the synthesis of star polymers with a cross-linked core by using ATRP, recent developments in this area mainly focused on two aspects [62–64]: (1) exploration of new synthetic methodologies to achieve better structural control over the topology of the star polymers and (2) introduction of various site-specific H. Gao, K. Matyjaszewski / Progress in Polymer Science 34 (2009) 317–350 323 Scheme 6. Various divinyl cross-linkers used for star synthesis in CRPs. functionalities (e.g., targeting, imaging and biocompatible groups) into the star core, arm and periphery. For example, use of a functional cross-linker and/or functional comonomer in the star core formation step demonstrated the ease of successfully encapsulating functional groups into the star core, such as fullerene [65], and fluorophore (10 in Scheme 6) [66,67]. Core degradable star polymers were synthesized by using degradable cross-linker containing disulfide group, 11 in Scheme 6 [68], acetal group, 12 in Scheme 6 [69,70], or siloxane group, 13 in Scheme 6 [71], as the linker. When a functional initiator was used to synthesize the linear MI, various types of functionalities were introduced onto the star periphery. Examples include dendron groups [72], benzophenone groups [73], and oligomeric poly(ethylene oxide) (PEO) [74]. Moreover, the choice of functional monomers provides an unparallel number of options to introduce a variety of functional groups into the star arms, which can tune the star property to satisfy the requirements of many specific applications. Polyester-based polymers have attracted significant attention because of the facile hydrolytic degradation of the ester linkage. In particular, poly(-caprolactone) (PCL) is a biodegradable and biocompatible material with the degraded product being capable of absorption by the body with minimal tissue reaction [75]. The incorporation of PCL arms into star polymers with 324 H. Gao, K. Matyjaszewski / Progress in Polymer Science 34 (2009) 317–350 Scheme 7. Synthesis of (polytBA)n -poly(DVB-co-tBA) star polymers via ATRP using the “arm-first” method in a one-pot process [55]. Reproduced with permission from American Chemical Society. a cross-linked core has been achieved through chain-end functionalization of linear PCL with an alkyl halide group, followed by chain extension with divinyl cross-linker using ATRP [76,77]. The alkyl halide functionalized PCL MI could be alternatively synthesized by using a halogen-containing alcohol to initiate the anionic ring-opening polymerization (ROP) of -caprolactone monomer [78]. It is interesting to note that cross-linking a monofunctional linear MI generates star polymers with a cross-linked core, while cross-linking a difunctional linear MI could produce a dumbbell-structured nanoobject [79] or model network [80,81], depending on the solvent quality and the ratio of monovinyl monomer to divinyl cross-linker during the core formation process. 3.1.1.2. Linear macromonomer as arm precursor (MM method). A major drawback to star synthesis using linear MI as the arm precursor is that the star polymers usually have a broad MWD due to the significant level of star–star coupling reactions. Furthermore, caution has to be taken in order to avoid macroscopic gelation when too much star–star coupling occurs. Star–star coupling reactions can be decreased by using less divinyl cross-linker, e.g., lower molar ratio of cross-linker to arm precursor, and/or conducting the reaction under dilute solution conditions, although the molecular weight and the yield of the obtained star molecules decrease significantly [52,58]. Moreover, the final star product formed via cross-linking the linear MIs is often contaminated by the presence of residual unincorporated linear polymers. This requires an extra purification step in order to obtain a star polymer with higher purity and narrower MWD. As noted above, star–star coupling reactions can occur via two possible routes: a radical–radical reaction or a radical-pendant vinyl group reaction between two star molecules. Since both reactions require the participation of radicals within the star core, a rational experimental design to decrease the molar ratio of initiating sites to arms per star could reduce the star–star coupling process and increase star uniformity. However, when linear MIs are used as arm precursors, both initiating sites (dormant form of radicals) and arms in the star molecule originate from the MIs, resulting, by default, in an identical number of arms and initiation sites in each star [55,82]. A recently developed strategy used linear MM, instead of MI, as the arm precursor for the synthesis of lowpolydispersity star polymers [83]. The biggest advantage of using a linear MM is that the number of initiating sites and arms can be independently controlled, since they are derived separately from the initiator and the MM. The incorporation of linear MM into the star molecule only increases the averaged number of arms per star, rather than changing the number of initiating sites. The number of initiating sites in the star core could be decreased, simply by decreasing the molar ratio of low-molar-mass initiator to MM. This effectively limits the extent of star–star coupling reactions and results in star polymers with low polydispersity. When star polymers are formed via copolymerization of linear MM and divinyl cross-linker using a lowmolar-mass ATRP initiator, the residue of the initiator is incorporated into the star core segment. Therefore, different functional groups could be readily introduced into the star core through use of functional ATRP initiators (Scheme 8) [84]. Compared to the strategy of using a functional comonomer to introduce star core functionality in the MI method, the use of functional initiator does not lead to a higher polydispersity of the obtained star polymers. For instance, a pyrene-containing ATRP initiator (Py-Br) was used for the copolymerization of poly(n-butyl acrylate) (polyBA) MM and DVB. The core-functionalized star polymers showed strong UV absorption between 330 and 360 nm and high pyrene encapsulation efficiency (ca. 80%). When PEO methyl ether methacrylate MM was used for star synthesis via ATRcP with EGDMA, amphiphilic (PEO)n -polyEGDMA(pyrene) star polymers with a hydrophobic core and hydrophilic PEO arms were synthesized. The functional stars showed high solubility in water and strong UV absorption due to the incorporation of pyrene groups into the star core. The incorporation of linear MMs into the preformed star polymer increased the star yield but kept a low polydispersity of the resulted stars. The star polymer continued to grow until the core was fully covered by the linear arms and reached a steric saturation state, when further star growth stopped. Addition of another batch of cross-linker and ATRP initiator at this stage introduced more pendant vinyl groups and initiating sites to the star core, expanding its size and functionality. This expansion decreased core congestion and made further incorporation of linear chain into star polymer possible. With appropriate amounts of additional cross-linker and ATRP initiator, it is possible to conduct star-linear MM reactions with limited star–star reactions. Therefore, the newly added cross-linker and ATRP initiator increased the star yield and star molecular weight while avoiding broadening of MWD. Star-linear MM reactions stopped when the star polymer reached its new saturated size, but the addition of a second batch of cross-linker and ATRP initiator expanded the core and allowed further star growth. This process could be repeated until the star yield essentially reaches 100% incorporation of the initially added MM (Fig. 1) [83]. This novel MM method could be extended as a general method to conventional RP [85,86] and other CRP techniques for the synthesis of star polymers with high star yield, high molecular weight and low polydispersity, although the synthesis of linear MMs [87–89] is not as straightforward or as easy as the synthesis of linear MIs. H. Gao, K. Matyjaszewski / Progress in Polymer Science 34 (2009) 317–350 325 Scheme 8. Synthesis of core-functionalized star polymers via ATRP using MM method [84]. Reproduced with permission from American Chemical Society. 3.1.2. Synthesis of star polymers with a cross-linked core by NMP Stable free radical polymerization, specifically NMP, was also applied to the synthesis of star polymers with a cross-linked core by the “arm-first” approach. Solomon and coworkers [90] first reported the synthesis of poly(4tert-butylstyrene) star polymers by employing tetramethyl piperidyl-N-oxyl (TEMPO) as the persistent stable radical to mediate the NMP of 4-tert-butylstyrene and subsequent cross-linking reaction using DVB as cross-linker. In the early stages of NMP, linear polySt MI was most frequently used for the synthesis of (polySt)n -polyDVB star polymers with a cross-linked core due to the lack of powerful nitroxide mediating radicals for the polymerization of acrylate and methacrylate monomers. However, the optional ratios of polySt MI to DVB for obtaining high star yield significantly varied in different reports due to their applied conditions. Pasquale and Long [91] observed that in order to obtain efficient star formation (star yield ∼ 70%, Mw /Mn ∼ 3.0) with a polySt MI (Mn = 19,300 g/mol) and m-xylene as solvent, a high molar ratio of [DVB]0 /[polySt MI]0 = 68 (1/2 by weight) was required. In contrast, Hadjichristidis and coworkers [92] employed a much lower molar ratio of [DVB]0 /[polySt MI]0 = 13 with a polySt MI (Mn = 10,000 g/mol) to obtain a (polySt)n -polyDVB star polymer in 75% star yield and polydispersity Mw /Mn = 1.56 by using benzene as solvent at 125 ◦ C. Use of a glycol-conjugated TEMPO-based Fig. 1. Influence of several-step addition of DVB and EBrP on GPC traces of (polyBA)n -polyDVB star polymers in the MM method; experimental conditions: [polyBA MM (DP = 42)]0 /[EBrP]0 /[DVB]0 /[CuBr]0 / [Me6 TREN]0 = 1/(0.07 + 0.07 × 4)/(3 + 1 × 4)/0.2/0.2, [MM]0 = 0.06 M, in anisole at 80 ◦ C [83]. Reproduced with permission from American Chemical Society. alkoxyamine or St-derived functional comonomer synthesized polySt star polymers carrying functionalities in the core [93] and at the periphery [94], respectively. Initially, the strong covalent bond in a TEMPO-based alkoxyamine impeded the structural control of the star polymers and limited composition of the arms to polySt and its derivatives. With the development of a more active second-generation ␣-hydrido-based alkoxyamine, Hawker expanded utility of NMP to allow the synthesis of a series of star polymers with a cross-linked core and a variety of arm compositions by using different monomers, including St, acrylate, vinyl pyridine, methacrylate and acrylamide [95,96]. Furthermore, they used combinatorial techniques for high throughput star synthesis and screened the key experimental parameters to optimize control over star structures. Functional groups could be introduced onto star periphery and along the arms by using functionalized alkoxyamines and functional monomers, respectively. 3.1.3. Synthesis of star polymers with a cross-linked core by RAFT Compared to the broad application of ATRP and NMP for the synthesis of functional star polymers using the “armfirst” method, only limited success has been obtained with RAFT polymerizations. Moad first proposed the possibility of using the “arm-first” method in RAFT polymerization for the synthesis of star polymers with a cross-linked core [97]. The first experimental proof of the synthesis of star polymers with a cross-linked core by RAFT was reported by Davis and coworkers [98] although the synthesized (polySt)n -polyDVB star polymers were poorly controlled with low star yield and high polydispersity. Zheng and Pan [99] reported the synthesis of (polySt)n -polyDVB star polymers containing a cross-linked nodule by using benzyl dithiobenzoate as RAFT agent. The use of a comonomer during the core formation process and the appropriate selection of solvent, could favor micelle formation during the cross-linking of linear MIs, which improved both star formation and star yield [100,101]. 3.1.4. Synthesis of star polymers with a cross-linked core by other CRP techniques Compared to the success with the three most robust CRP techniques, e.g., ATRP, NMP and RAFT, the other types of CRP techniques are less successful in star polymer synthesis. Iniferter [102,103], degenerative chain transfer mediated by iodine [26–29,104] or other groups [105–107], and transition metal-mediated stable free radical polymerization [19,20,108], are still mainly focused on optimizing polymer- 326 H. Gao, K. Matyjaszewski / Progress in Polymer Science 34 (2009) 317–350 ization conditions to achieve the synthesis of linear block copolymers with various monomers, well-defined structure and high chain-end functionality. Ishizu et al. [109] reported the synthesis of star block copolymers with a cross-linked core using dithiocarbamate iniferter under UV irradiation. The arm composition could be polyacrylate or polymethacrylate. By varying the molar ratio of linear MI to EGDMA cross-linker, the highest star yield obtained was lower than 60%. The low star yield was possibly due to the slow and incomplete initiation of alkyl dithiocarbamate under UV irradiation and loss of chain-end functionality via the potential dimerization of dithiocarbamyl mediating radicals. 3.1.5. Synthesis of miktoarm star copolymers by the “in-out” method Miktoarm star copolymers contain two or more arm species with different chemical compositions and/or molecular weights connected to one central core [48]. Therefore, miktoarm star molecule combines the features of segmented block copolymer, such as microphase separation and self-assembly capacity, and the features of globular shape and multiple dangling chains within the concept of star polymer. Miktoarm star copolymers have shown interesting properties, such as microphase separations in bulk [110–112], in solution [113,114], at interfaces [115], and segregated compartmentalization for guest molecule encapsulation [113]. However, compared to the synthesis of homoarm star polymers, the synthesis of miktoarm star copolymers is more difficult and consequently their preparation is described in fewer reports. Among the methodologies developed for the synthesis of miktoarm star copolymers using CRP techniques, the “inout” method [68,76,92] represents an important strategy for the synthesis of miktoarm star copolymers that contain two kinds of arms with different chemical compositions tethered onto one cross-linked core. Star polymers, synthesized by the “arm-first” method, preserve the dormant initiating sites in the cross-linked core and can be used as multifunctional star MIs to initiate the polymerization of another monomer and form miktoarm star copolymers. The word “in” refers to the “arm-first” method for formation of the star MI and the word “out” represents the subsequent growth of the second generation of arms from the multifunctional star core (Scheme 9). NMP and ATRP techniques were applied to the synthesis of miktoarm stars using the “in-out” method. Based on the sequence of the arms and core formation, the obtained miktoarm star copolymer is coded as (polyA)n -polyX-(polyB)p , where polyX represents the cross-linked core of the miktoarm star polymer; n and p are the average number of polyA and polyB arms per star molecule, respectively. The “in-out” strategy was first developed for miktoarm star synthesis using anionic polymerization. In that case, the number of the second generation of arms was assumed to be the same as that of the first arms because the electrostatic repulsions between two carbanions prevent termination by coupling [48]. When this “in-out” method was extended to CRPs, the radical–radical coupling becomes an inevitable side reaction, decreasing the number of effective initiating sites in the star MI. Moreover, the preserved initiating sites (alkyl halide or alkoxyamine) in the star MI are distributed throughout the highly cross-linked core, surrounded by multiple arms. Due to the congested environment, not all of the initiating sites embedded in the core are accessible to the catalyst and monomer and can participate in the formation of the second generation of arms. This limited accessibility of initiating sites is often encountered during CRP using a multifunctional MI with a congested structure [116]. This results in an incomplete initiation efficiency of the star MI during the synthesis of miktoarm star copolymers using the “in-out” method. The initiation efficiency of the star MI was quantitatively determined by two different methods. The first one employed a disulfide-containing cross-linker (SS), 11 in Scheme 6, for the synthesis of (polyMMA)n -polySS(polyBA)p miktoarm star copolymers containing a cleavable core [68]. The initiation efficiency of the star MI was determined via gel permeation chromatography (GPC) analysis of the cleaved product of the miktoarm star copolymer, which was a mixture of a linear triblock copolymer and a linear diblock copolymer. The result indicated that only ca. 20% of the initiating sites in the (polyMMA)n -polySS star MIs participated in the formation of the second generation of polyBA polymer arms. The second method employed a general kinetic analysis for determination of the initiation efficiency of the (polytBA)n -poly(DVB-co-tBA) star MIs. It compared the relative rates of monomer consumption during the formation of the second generation of arms to a control ATRP reaction under the same experimental conditions, except for the use of a small monofunctional initiator [117]. Three factors, including the arm length of the star MI, the structural compactness of the star MI and the chemical compatibility of the two kinds of arms on one miktoarm star molecule, showed a significant effect on the initiation efficiency of the star MI. It was found that the initiation efficiency of the star MI decreased with increasing arm length and structural compactness. When the two arms had the same chemical composition, the star MI had the highest initiation efficiency (∼54%), indicating the number of the second generation of arms was as high as half of the number of the first arms [117]. Miktoarm star copolymers, synthesized by the “in-out” method using CRP, comprise of various arm compositions including polySt, polyacrylate and polymethacrylate, depending on the choice of monomers. The composition of the first generation of arms, formed before the formation of the core of the star MI, can be expanded to include polyether and/or polyester, such as PEO [118] and PCL [76,77], synthesized by ROP and subsequent chain-end modification to introduce CRP initiating sites. The incorporation of these arms into the final miktoarm star could either improve biocompatibility or provide a degradable feature to the miktoarm star product and expands their potential applications to include drug delivery vehicles [64]. 3.1.6. Synthesis of miktoarm star copolymers with a cross-linked core by a general “arm-first” method As discussed above, although the “in-out” route represents an important methodology for the synthesis of H. Gao, K. Matyjaszewski / Progress in Polymer Science 34 (2009) 317–350 327 Scheme 9. Illustration of the “in-out” method for synthesis of miktoarm star copolymer. miktoarm star copolymers containing two kinds of arms with different chemical compositions, the number of the second generation of arms was always lower than the number of the first arms as a consequence of the incomplete initiation of the star MI. Moreover, it is conceptually impossible to synthesize a miktoarm star copolymer containing more than two kinds of arms using the “in-out” method. A recent report directly applied the traditional “armfirst” method for the synthesis of miktoarm star copolymers via one-pot cross-linking of a mixture of linear MIs [119]. The composition of the arms in the miktoarm star product was systematically varied by simply changing the molar ratios of the initial MIs. An illustrative ATRP experiment includes a cross-linking reaction of two types of linear MIs, polyBA-Br MI and poly(methyl acrylate)-Br (polyMABr) MI, using DVB as cross-linker. It produced a miktoarm star product with high molecular weight and high star yield. During this process, the two arms were expected to be concurrently incorporated into one miktoarm star molecule (Scheme 10). Thus, the produced star polymer is coded as (polyBA)n -(polyMA)p -polyDVB, which is different from the miktoarm star formed by the “in-out” method, (polyA)n -polyX-(polyB)p , where the two types of arms are sequentially incorporated into the miktoarm star molecule. It was critical to determine that the star product from the one-pot cross-linking of a mixture of arm precursors was a miktoarm star copolymer, containing two or more arm species in one molecule, rather than a mixture of homoarm stars. Traditional GPC separates polymers based on hydrodynamic volume, which cannot differentiate miktoarm stars from corresponding homoarm stars with similar size (Fig. 2). In order to determine the distribution of the two kinds of arms in the miktoarm star copolymer, a liquid chromatography technique, which separates polymers based on their chemical compositions, was employed. For instance, the liquid chromatography Scheme 10. Synthesis of miktoarm star copolymers by cross-linking two kinds of linear MIs via the “arm-first” method using ATRP [119]. Reproduced with permission from American Chemical Society. under the critical conditions (LCCC) of polyMA homopolymer [120,121] was applied to the characterization of the (polyBA)n -(polyMA)p -polyDVB miktoarm star product and the two corresponding homoarm stars, (polyBA)n -polyDVB and (polyMA)n -polyDVB. The elution chromatogram of the miktoarm star product showed one elution peak between the peaks of the two homoarm stars, indicating the absence of homoarm star contaminants in the miktoarm star copolymer. Similar to the successful synthesis of low-polydispersity star polymers using linear MM as the arm precursor [83], cross-linking a mixture of linear MMs using a lowmolar-mass initiator, such as an alkyl halide, produced low-polydispersity miktoarm star copolymers with high star yield. A lower molar ratio of initiator to total MMs decreased the number of initiating sites in the star core, which effectively limited the extent of star–star coupling reactions [122]. Addition of extra cross-linker and initiator increased the molecular weight and the yield of the miktoarm star molecules while preserving their low polydispersity. 3.2. Synthesis of star polymers with a cross-linked core by a novel “core-first” method: polymerization of cross-linker before the addition of monomer The “arm-first” method for the synthesis of star and miktoarm star copolymers requires the formation of linear arm precursors, either MI or MM, prior to the addition of a divinyl cross-linker. In other words, the polymerization of monovinyl monomer from a monofunctional initiator, forming the arm precursor, is before the polymerization of divinyl cross-linker, which forms the cross-linked core. An alternative strategy for the synthesis of star polymers with a cross-linked core is polymerization of the cross-linker prior to addition of the monovinyl monomer (Scheme 11). The homopolymerization of a divinyl cross-linker (e.g., EGDA) by using ATRP under dilute conditions produced multifunctional nanogels containing a statistical distribution of initiating sites. A monovinyl monomer (M1 ) was added to the system, at high conversion of cross-linker, and was polymerized from the multifunctional nanogel MI to form the polyX-(polyM1 -Br)n star polymer, where n is the average number of polyM1 arms per star molecule. Since a highly cross-linked core is formed by homopolymerization of the cross-linker before the growth of emanating arms, this synthetic strategy belongs to the “core-first” method of star synthesis [123,124]. 328 H. Gao, K. Matyjaszewski / Progress in Polymer Science 34 (2009) 317–350 Fig. 2. (A) GPC traces and (B) LCCC chromatograms of (polyBA)n -polyDVB, (polyMA)n -polyDVB homoarm stars and (polyBA)n -(polyMA)p -polyDVB miktoarm star copolymers; LCCC conditions for polyMA homopolymers: two sets of silica columns with pore size of 100 and 300 Å, respectively, mobile phase as 2-butanone/cyclohexane (86/14 by volume) with flow rate as 0.5 mL/min at 32 ◦ C [119]. Reproduced with permission from American Chemical Society. The molecular weight of the star polymers increased with the extent of polymerization of monovinyl monomer from the cross-linked core. At the same time, a small amount of linear polymers coexisted with the star polymer that originated from unincorporated monofunctional initiating sites. The free linear chains served as an internal standard for calculation of the average number of arms per star molecule: Narm = Mw,star /Mw,arm , where Mw,star and Mw,arm are the weight-average molecular weights of star polymer and linear reference chain, respectively. Due to the broad size distribution of the multifunctional nanogel cores, the apparent polydispersity of the star polymers determined by GPC was around Mw /Mn = 2.0. The star polymers synthesized by this new “core-first” method had a similar structural compactness to those from the traditional “arm-first” method. However, in contrast to the star polymers formed by the “arm-first” method, which contained dormant initiating sites in the star core, the star polymers produced by the new “core-first” method preserved the initiating sites at the chain ends, the periphery of the star. Therefore, the chain extension of the star MI by polymerization of a second monomer (M2 ) formed star block copolymers, polyX-(polyM1 -b-polyM2 )n (Scheme 11) [125]. A novel one-pot approach was also reported for the synthesis of star-like polymers with a highly branched core by self-condensing vinyl copolymerization (SCVCP) [11] of N-[2-(2-bromoisobutyryloxy)ethyl]maleimide (BiBEMI) inimer with a large excess of St using ATRP [126]. Due to the alternating copolymerization behavior of maleimide and St [127], the BiBEMI inimer was quickly consumed via an alternating copolymerization with St and formed a hyperbranched core containing many alkyl bromide initiating sites. It further served as a multifunctional MI for homopolymerization of the excessive St to produce a star polymer (Scheme 12). The broad distribution of the hyperbranched core resulted in a less structure-controlled star polymer (multimodal distribution). This might require an extra step of purification to remove the linear polymers. The feature of alternating copolymerization between maleimide and St, was also utilized for a one-pot copolymerization of bismaleimide cross-linker and an excess of St using a low-molar-mass-ATRP initiator, producing polySt star polymers containing a highly branched core [128]. Similarly, the iniferter technique was applied for a one-pot copolymerization of dithiocarbamate-containing St-based inimer, stoichiometric amount of bismaleimide cross-linker and an excess of MMA monomer, resulting in a polyMMA star polymer with a cross-linked core [129]. The dithiocarbamate-capped polyMMA stars could be used for arm extension by ATRP of n-butyl methacrylate (BMA) in the presence of CuCl/bipyridine (bpy) catalyst to produce star block copolymers. 3.3. Applications for star and miktoarm star copolymers with cross-linked cores (nanogels) The development of various robust radical-based synthetic methodologies facilitates the large-scale production of star polymers with a cross-linked core at a relatively low cost. It also paves the way for material scientists to study their physical properties in solution and bulk [54,130] and Scheme 11. Synthesis of star and star block copolymers by a novel “core-first” method: polymerization of cross-linker before the addition of monomer [125]. Reproduced with permission from American Chemical Society. H. Gao, K. Matyjaszewski / Progress in Polymer Science 34 (2009) 317–350 329 Scheme 12. Synthesis of star polymers in a one-pot reaction by ATRP of N-[2-(2-bromoisobutyryloxy)ethyl]maleimide and styrene [126]. Reproduced with permission from American Chemical Society. to explore their utility as functional nanomaterials in different fields. The star polymers with a cross-linked core have a compact structure and globular shape, which resembles a core/shell nanogel containing a cross-linked core, multiple radiating arms (shell) and chain-end (surface) groups with a broad choice over composition, and site-specific functionality. The incorporation of arms with different compositions onto one cross-linked core, a miktoarm star, further provides segmented structure to this novel nanoobject. All these structural features suggest that star polymers with a cross-linked core are promising nanomaterials in a variety of fields [6,64], such as nanocontainers for encapsulation of guest molecules or self-assembly into multilayer porous films. 3.3.1. Application of star polymers with a cross-linked core as nanocontainers Star polymers with a cross-linked core and segmented arms resemble a three-dimensional core/shell nanostructure, which can be used as a carrier, or container for different guest cargos, such as catalysts, drugs, dyes, fragrances and imaging radioactive atoms. Sawamoto and coworkers [60,131] reported the ATRP synthesis of (polyMMA)n -polyEGDMA star polymers containing Ru(II)triphenylphosphine complex within the cross-linked core. Scheme 13. Synthesis of core-functionalized star polymers bearing Ru(II) complex in the core [60]. Reproduced with permission from American Chemical Society. A phosphine-containing functional comonomer was used during the core formation process, which served as a ligating site to in situ encapsulate the Ru(II) atoms into the cross-linked core via ligand exchange (Scheme 13). These core-functionalized star polymers were regarded as homogeneous/heterogeneous hybrid polymer-supported catalysts and contained hundreds of Ru(II) atoms per molecule. The star polymers were subsequently used to catalyze the homogeneous oxidation of sec-alcohols to ketones, showing a comparable catalysis efficiency to the small molecule catalyst, RuCl2 (PPh3 )3 [60,132]. When linear block copolymer containing both PEO methyl ether methacrylate (PEOMA, Mn ∼ 475 g/mol) and MMA units was employed as the arm precursor, the obtained star polymers showed amphiphilic solubility (soluble in alcohol and water) and an upper critical solution temperature (UCST ∼ 30 ◦ C) in 2-propanol [133]. Hawker and coworkers [47] introduced a 64 Cu-chelating group into the inner shell segment of core/shell star block copolymers via reaction of 1,4,7,10-tetraazacyclododecane1,4,7-tris(acetic acid-t-butyl ester)-10-acetic acid (DOTA) with the succinimide reactive groups in the inner shell blocks. The functional star block polymers were synthesized by cross-linking a linear PEO-bpoly(DMA-co-NAS) (DMA: N,N-dimethylacrylamide, NAS: N-acryloxysuccinimide) block MI via NMP of DVB. After introducing the radioactive 64 Cu nuclei into the inner shell of the star, these functionalized star polymers with PEO protecting shells were used as in vivo carriers for positron emission tomography imaging with promising bio-distribution. Hawker and Fréchet [44] also demonstrated the application of core-functionalized star polymers in catalysis. The soluble star polymers served as scaffolds to encapsulate and isolate a functional catalyst within the interior of the cross-linked core. Such a site-isolation effect provided by the star polymer allowed a multistep cascade reaction using chemically incompatible catalysts to occur in one reactor. For instance, they used the core cross-linked polySt star polymers synthesized by NMP to encapsulate incompatible acid and base catalysts into separate star cores and achieved a two-step sequential reaction involving acid-catalyzed acetal hydrolysis followed by the amine-catalyzed Baylis–Hillman reaction in one pot (Scheme 14) [44]. Recently, Fréchet and coworkers [134] further explored the use of these non-penetrating star polymers to combine iminium, enamine, and hydrogenbond catalysts in one pot for asymmetric reactions that generated cascade products with more than one chiral center. 330 H. Gao, K. Matyjaszewski / Progress in Polymer Science 34 (2009) 317–350 Scheme 14. Application of acid- and base-containing star polymers with non-interpenetrating cross-linked cores in a one-pot cascade reaction. In addition to the application of the star polymers with a cross-linked core as containers to protect and isolate the fragile imaging atoms and catalysts from environment, star polymers with segmented arm structure can also be used as a single molecular template for the synthesis of inorganic nanoparticles [135,136]. Compared to the self-organized templates from organic surfactants and amphiphilic block copolymers, such as micelles and vesicles, the globular star polymers with covalently stabilized core and segmented structures are more stable. These star templates can effectively protect metallic nanoparticles from coagulation even under harsh conditions, e.g., elevated temperature, high ionic strength and dilution [137]. For instance, ATRP was used for the synthesis of core cross-linked star polymers with block-copolymer arms, (polyMMA-b-polytBA)n -polyDVB. Subsequent hydrolysis of the polytBA block resulted in formation of an amphiphilic star polymer with hydrophobic polyMMA outer shell and hydrophilic polyAA inner shell. This star polymer was used as a unimolecular container to coordinate Ag+ cations at the inner shell, which were in situ reduced into Ag(0) clusters in the star container [136]. 3.3.2. Application of charged star polymers as building blocks for a multilayer film Layer-by-layer (LbL) assembly has been widely employed as a simple and versatile method for construction of controlled nanostructures on a surface [138,139]. It allows the creation of highly tunable, functional thin films with nano-level control over the structure, composition, and properties [140]. A wide variety of materials have been explored as active building blocks for LbL assembly beyond simple linear polyelectrolytes, including inorganic nanoparticles, polymeric micelles, dendrimers, carbon nanotubes, and biological molecules. The incorporation of a broader range of materials based on the various intermolecular interactions has expanded the potential applications of LbL assembly ranging from energy and electrochemical devices to drug delivery platforms. Star polymers with a cross-linked core represent a soft nanomaterial with controlled dimension and high local densities of functional groups. The integration of star polymers into polymeric thin films on surfaces has been demonstrated by a few groups. Xu and Chen [141] reported a multilayer formation based on the hydrogenbonding interaction between poly(vinylpyrrolidone) linear chains and a polyAA star polymer containing a poly(methylsilsesquioxane) core. The film thickness was found to be a linear function of the number of bilayers and the average increase in thickness per bilayer was 28.3 nm. Similarly, Caruso and Qiao [142] showed the incorporation of (polyAA)n -polyDVB star polymers within LbL assembled polymeric multilayers and their pH-responsive surface properties. Recently, Hammond and Matyjaszewski [143] assembled ultrathin multilayer films exclusively based on the sequential LbL deposition of two types of star polymers with oppositely charged polyelectrolyte arms and hydrophobic cores: poly[2-(dimethylamino)ethyl methacrylate] (polyDMAEMA) star and polyAA star. The star polymers were synthesized via ATRP using the onepot “arm-first” method. The resulting star/star multilayer films displayed non-uniform and nanoporous structures, and showed a morphological rearrangement in response to environmental pH-stimulus, which was probably due to the changes in ionization of the polyelectrolytes and the distinctive geometry of star polymers. 4. Synthesis of branched polymers and/or gels by copolymerization of monomer and cross-linker via CRP techniques As discussed in Section 3, the sequential polymerization of monomer and cross-linker, resulting from two-batch additions using CRP techniques, produces stars and/or miktoarm star copolymers with a cross-linked core. The chemical compositions and site-specific functionalities are predetermined and variable, depending on the selected monomers, cross-linkers, initiators, the timing of addition and the duration of the reaction. In contrast, the one-batch radical copolymerization (RcP) of a monomer and a crosslinker produces branched polymers and gels. The gel point and the final copolymer structures are determined by various parameters, including the polymerization technique, the molar ratios of reagents, the instantaneous concen- H. Gao, K. Matyjaszewski / Progress in Polymer Science 34 (2009) 317–350 trations of reagents, and the final conversion. Although conventional RP techniques have been broadly used for more than 70 years for the synthesis of branched polymers and gels via copolymerization of a monovinyl monomer and a divinyl cross-linker, the recently developed CRP techniques provide fundamental differences on the ability to manipulate the structures of branched polymers and gels. (1) where p is the extent of reaction, or conversion of double bonds, is the fraction of all double bonds residing on divinyl molecules in the initial mixture. DPw is the weightaverage DP of the linear primary chains, which would be resulted if all cross-linkages in the network at the gel point were cut. When DPw 1 and the polydispersity of the primary chain (DPw /DPn ) is considered [145], Eq. (1) is expressed as: DPw =1 DPn (2) in which the product of pDPn is the number-average number of cross-linking unit per primary chain ( = pDPn ), termed as cross-linking index by Flory [146]. Since = 2[X]0 [M]0 + 2[X]0 [PC]t p (4) DPw =p DPn 2[X]0 [M]0 + 2[X]0 [M] + 2[X] DP w 0 0 [PC]t p DPn =1 which can be further rewritten as: In general, the RcP of a monovinyl monomer and a divinyl cross-linker generates polymers with a branched structure. The cross-linkage, provided by a cross-linker with both vinyl groups reacted, is formed in the polymer chains via reaction of pendant vinyl group with the propagating chain-end radicals either intermolecularly or intramolecularly. The molecular weight and/or size of the branched polymers increase exponentially with the progress of intermolecular cross-linking reactions, and finally reach an “infinite” value with the formation of a polymeric network (gel). The transition from sol to gel is defined as the “gel point”. To predict the theoretical gel point, Flory outlined a statistical method based on the mean-field theory for determining the critical extent of reaction when gelation occurred [144]. Stockmayer further expanded Flory’s approach to the addition polymerization of monomer and divinyl cross-linker and obtained a general expression, Eq. (1), for predicting the gel point [145]. The Flory–Stockmayer (F–S) theory was established based on an ideal polymer network with two assumptions. First, all vinyl groups, from monovinyl monomer, divinyl cross-linker and pendant double bonds, have the same reactivity. Second, intramolecular cyclization reactions, which consume pendant vinyl groups but do not contribute to an increase in the molecular weight of the branched polymer, are neglected. Eq. (1) predicts that the critical gel point for the formation of an “infinite” polymer network is reached when the weight-average number of cross-linking unit () per primary chain equals unity. c = pDPn [M] + 2[X] 0 0 where [M]0 , [X]0 are the initial concentrations of monomer and divinyl cross-linker, respectively, and [PC]t is the concentration of primary chains in the system at any time t. Substitution of Eqs. (3) and (4) into Eq. (2) leads to c = 4.1. Flory–Stockmayer’s statistical theory: prediction of the gel point c = p(DPw − 1) = 1 DPn = 331 (3) c = 2[X]0 DPw DPw =p2 =1 DPn [PC]t DPn (5) A direct explanation of Eq. (5) indicates that the numberaverage cross-linking units per primary chain () equals the weight-average cross-linking units per primary chain () in a system when the primary chain is monodisperse. For a copolymerization system with the most probable distribution (DPw /DPn = 2) of the primary chains, c = 0.5 is the critical value required to reach the theoretical gel point. At the moment of gelation, the critical conversion of double bonds pc equals pc = [PC]t 1 2[X]0 DPw /DPn (6) which indicates that the theoretical gel point based on the conversion of double bonds is determined by the initial amount of divinyl cross-linker, the instantaneous concentration of primary chain and its polydispersity. For the RcP of monomer and divinyl cross-linker, the reaction of the free cross-linker incorporates a pendant vinyl group into the polymer chain. The reaction of the resulting pendant vinyl group with a propagating radical generates the cross-linkage and introduces two crosslinking units into the connected chains. If all vinyl species are assumed to have the same reactivity, at the conversion of monomer p, the conversion of divinyl cross-linker should be convX = (2p − p2 ) and the fraction of cross-linkage vs. the initially added cross-linker is p2 because each cross-linker contains two vinyl bonds. At the gel point, the averaged number of cross-linkage per primary chain will be p2c ([X]0 /[PC]t ) and the averaged number of crosslinking unit per primary chain c = 2p2c ([X]0 /[PC]t ), which is in an agreement with Eq. (5). Therefore, for a RcP of monomer and divinyl cross-linker, the critical number for cross-linkage per primary chain ( c /2) should equal 0.5 and 0.25 for monodisperse primary chains and most probable distributed primary chains, respectively. In other words, a ratio of one cross-linkage to four primary chains is sufficient for the onset of theoretical gelation when a primary chain with polydispersity, DPw /DPn = 2, is used [144]. The theoretical gel point based on the F–S theory provides important guidelines for experimental designs seeking to obtain branched polymers and gels, although the assumptions, particularly the “no intramolecular cyclization” assumption, are not completely valid during the experiments [147–150]. In some literature references, the intramolecular cyclization reaction was further categorized into two reactions: primary cyclization and secondary cyclization. The former cyclization reaction represents the 332 H. Gao, K. Matyjaszewski / Progress in Polymer Science 34 (2009) 317–350 cycle formed within one primary chain and the secondary cyclization occurs between two connected primary chains [151,152]. When soluble branched polymers are targeted during the RcP of monomer and cross-linker, the reaction should be stopped before the critical gel point (pc ) in order to exclusively obtain soluble sols. Based on Eq. (6), several strategies are applicable in order to delay the gelation in a system and push gelation to higher conversion, including: (1) increasing the initial primary chain concentration, e.g., decreasing the primary chain length, by using more initiator or chain transfer agent; (2) using less cross-linker; (3) stopping the reaction at lower monomer conversion. Furthermore, intramolecular cyclization reactions could be enhanced by performing the copolymerization in a dilute condition, in a selective solvent and/or in a confined space, e.g., emulsion, which usually delays and prevents macroscopic gelation and produces microgels. 4.2. Differences in the gelation process between RP and CRP Highly branched polymers and/or gels with inhomogeneous structures are formed during most conventional RP reactions due to the intrinsic limitations of the RP method, including slow initiation, fast chain propagation, and exclusive radical termination reactions [150,152–155]. Due to the slow initiation, primary radicals are slowly but continuously generated in the system, resulting in a very dilute polymer solution at the beginning (∼M). On the other hand, the generated primary radicals quickly propagate within a time scale of seconds before the occurrence of a termination reaction to permanently lose the chainend functionality. The DPn of primary chains could exceed DPn ∼ 103 at the beginning of polymerization, which is not merely determined by the conversion and the initial molar ratio of double bonds to initiator, but more importantly, dependent on the kd (dissociation rate constant of thermal initiator), kp (propagation rate constant, kp ∼ 103 s−1 ) and kt (termination rate coefficient) values. Based on Eq. (6), gelation in a conventional RP reaction should occur immediately at very low conversion, e.g., pc = 0.16%, under bulk conditions ([M]0 = 10 M) with 1 mol% of cross-linker in the initial formula and DPw /DPn = 2 for the primary chains. However, the measured experimental gel point based on monomer conversion is typically 1 or 2 orders of magnitude larger than the predicted value. This is mainly due to an excluded volume effect of polymer chains and a significant contribution of intramolecular cyclization reactions (primary and secondary cyclizations) [150,152,156]. At the beginning of the copolymerization, the polymer chains formed in the reaction seldom overlap with each other because of the extremely low polymer concentration. Consequently, most of the pendant vinyl groups are consumed via intramolecular cyclization reactions, producing a lessswollen nanogel with a highly cross-linked nanodomain (Scheme 15). As the reaction proceeds, the number of these nanogels increases and radicals generated later in the reaction connect these preformed overlapped nanogels into larger molecules and form a heterogeneous network. In contrast to the conventional RP technique, the recently developed CRP techniques have several advantages when targeting the preparation of more homogeneous polymer networks, due to the fast initiation and quick reversible deactivation reactions. The fast initiation reactions, relative to propagation reactions, result in a quick conversion of all initiators into primary chains and a nearly constant number of growing primary chains throughout the polymerization (Scheme 15). Therefore, the concentration of primary chains in a well controlled CRP system is similar to the concentration of added initiators throughout the polymerization (e.g., [PC]t ∼ [Initiator]0 ∼ mM) [2,34]. Compared to the slow initiation in conventional RP, the fast initiation in CRPs implies that the theoretical gel point based on Eq. (6) is now delayed to pc = 5.0% for a bulk system ([M]0 = 10 M, 1 mol% cross-linker, [Initiator]0 = 1 mM) with DPw /DPn = 2 for the primary chains. When the primary chains are monodisperse (DPw /DPn = 1.0), the value of pc would be pc = 7.1%. This calculated result clearly explains the retarded gelation observed in CRP process due to the feature of fast initiation reaction. Moreover, the differences between the fast propagation of a polymer chain in conventional RP and the dynamic equilibrium in CRP, established between a low concentration of active propagating chains and a large number of “dormant” chains, ensure that only a few monomer units are incorporated into the polymer chains in every activation/deactivation cycle. During the long “dormant” period, the polymer chains cannot propagate, but can diffuse and relax, which results in the probability of reaction of each vinyl species: monomer, cross-linker or pendant vinyl group, is statistically determined by their concentration. Thus, the application of CRP techniques [157–177] to copolymerization of monomer and cross-linker results in a more homogeneous incorporation of branching points into the soluble branched copolymers and insoluble gels, as compared to polymers synthesized by RP methods from similar concentrations of comonomers. Moreover, the chain-end functionalities are preserved in the branched polymers and/or gels synthesized by CRP, which can be further used for chain-end modification and chain extension reactions [161,167]. 4.3. Synthesis of branched polymers and gels via CRP techniques Ide and Fukuda [157,158] first reported the CRcP of St and 4,4 -divinylbiphenyl (14 in Scheme 6) in bulk by using polySt-TEMPO alkoxyamine as initiator. Owing to the controlled character of the system, the polymerization proceeded via a slow and simultaneous growth of a nearly constant number of primary chains. The pendant vinyl group showed a similar reactivity to the free monomer St and the cross-linking reaction progressed in a highly homogeneous manner. The gels produced in this controlled copolymerization showed remarkable differences from the gels prepared via RcP process, including retarded gelation kinetics, steady increase of gel fraction after gelation and higher swelling ratios of gels. The critical number of cross-linkage per primary chain to reach the experimental H. Gao, K. Matyjaszewski / Progress in Polymer Science 34 (2009) 317–350 333 Scheme 15. Different gelation processes between RP and CRP. gelation ( c /2(expt) ∼ 1) was twice higher than the value from F–S theory, indicating 50% of the cross-linker was consumed by cyclization even under bulk polymerization conditions. Several research groups also exploited ATRP [159,160, 169,171] and RAFT copolymerization [163,167,173] of crosslinker, in order to study gelation kinetics and/or to synthesize branched polymers and gels with better controlled structures. Compared to the conventional RcP system at the same concentration and the same molar ratios of reagents, the CRcP of monomer and divinyl crosslinker showed delayed gelation and consequently allowed the synthesis of soluble branched polymers even at complete conversion. When the concentration of monomers was high, such as bulk conditions, selecting the correct initial molar ratio of divinyl cross-linker to initiator was crucial in order to prevent experimental gelation and obtain soluble branched polymers. In a CRP system with high initiation efficiency and good control over the polydispersity of primary chains (low Mw /Mn ), no gelation was observed when the initial molar ratio of cross-linker to initiator was less than 1, even under bulk conditions with complete conversion [160,169–171]. This result indicates that at least half of the cross-linker was consumed via intramolecular cyclization (primary and secondary cyclizations). However, the twofold deviation of the experimental gel point in the CRP systems, compared to the value from F–S calculation, is strikingly smaller than the situation in the RP system, which typically displays a 1 or 2 order of magnitude difference. Among the different CRP techniques, the RAFT copolymerization of monomer and cross-linker resulted in a greater extent of intramolecular cyclization and showed a higher discrepancy from the ideal branching process than the ATRcP system under similar conditions [163,173]. This is plausibly due to the fundamental differ- ence in initiation/activation mechanism between ATRP and RAFT techniques. The extent of cyclization reactions occurring during the CRcP of a cross-linker could be controlled by adjusting the initial concentration of reagents. For instance, during the ATRcP of MA and EGDA at fixed molar ratios of monomer, cross-linker and initiator, simply diluting the system, via addition of more solvent, dramatically postponed, or even prevented, the experimental gel point at higher monomer conversion, i.e., longer reaction time, than the value based on F–S theory [175]. Since the experimental gel point under Fig. 3. Reciprocal plot of experimental gel point against 1/[MA]0 during ATRcP of MA and EGDA under different MA concentrations; experimental condition: [MA]0 /[EGDA]0 /[R-Br]0 /[CuBr]0 /[CuBr2 ] ◦ 0 /[PMDETA]0 = 50/10/1/0.45/0.05/0.5, in DMF at 60 C; the experimental gel point was the moment when the reaction fluid lost its mobility when held in an upside down position for 10 s. 334 H. Gao, K. Matyjaszewski / Progress in Polymer Science 34 (2009) 317–350 bulk conditions was still twice higher than the F–S value, a reciprocal method could be applied to plot the experimental gel points based on monomer conversion against 1/[M]0 . Extrapolation of this curve to zero provides the imaginary experimental gel point at infinite concentration (Fig. 3). When the molar ratios of monomer, cross-linker and initiator were [MA]0 /[EGDA]0 /[R-Br]0 = 50/10/1, the gel point at infinite concentration would occur at 26.0% of MA conversion. This value was very close to the calculated gel point, 22.3% MA conversion, based on the prediction provided by F–S theory. Armes used bis(2-iodoethoxy)ethane as a branching agent for post-polymerization quaternization of monodisperse polyDMAEMA prepolymer containing a reactive tertiary amine group on every monomer unit [177]. They explored the propensity for intermolecular branching reactions and intramolecular cyclization reactions under different concentrations. No experimental gelation was observed even when a molar ratio of di-iodide to polyDMAEMA prepolymer equaled to 2, under high polymer concentration condition (47%, w/v in solution), which is much higher than the critical overlap concentration (c* = 10%, w/v). This result indicated that intramolecular cyclization occurred to a greater degree in the quaternization reaction than during the copolymerization of monomer and cross-linker under the same monomer unit concentration. This was probably due to the large molar ratio of tertiary amine to pendant iodide during the quaternization reaction, which facilitated intramolecular cyclization. In addition to the concentration effect, several other parameters, such as the reactivity of cross-linker compared to monomer, the initiation efficiency of initiator, the polydispersity of the primary chains and the solvent quality, can also affect the experimental gel points during the CRcP of monomer and divinyl cross-linker. For instance, the ATRcP of MA and dimethacrylate cross-linker, e.g., EGDMA, resulted in a different gelation behavior than the model copolymerization of MA and EGDA with equivalent reactivity for all acrylate groups [178]. The higher reactivity of methacrylate groups present in EGDMA resulted in faster consumption of cross-linker and quicker generation of branching points into polymer chains, an acceleration effect. On the other hand, the branched polymer resembled a star-like structure, containing a gradient distribution of pendant methacrylate groups and branching points from the inner core to outer shell. In other words, the pendant vinyl groups, located in the more densely cross-linked core, were isolated by the surrounded shell, which reduced the probability for intermolecular reactions and retarded gelation, a deceleration effect. These two effects intercorrelated with each other, depending on the amount of added EGDMA, significantly affected the experimental gel points of the poly(MA-co-EGDMA) system. When more EGDMA was added, the acceleration effect became dominant, which led to a faster gelation at lower MA conversion, compared to the ATRcP using the same molar amount of EGDA (Scheme 16). In addition, the use of hydrophilic monomers and cross-linkers in CRcP provides new strategies to obtain water-soluble branched polymers and hydrogels with well controlled structure, highly preserved chain-end functionality [161,169] and/or fast response upon environmental stimulus [179]. 4.4. CRP of cross-linker in dispersed media: synthesis of cross-linked microgels Radical (co)polymerization can be conducted in various dispersed systems, e.g., emulsion, miniemulsion, microemulsion, precipitation, dispersion, and suspension polymerizations [180]. Water is predominantly used as the continuous phase, oil in water (O/W) system, although the inverse situation with oil as continuous phase, water in oil (W/O) system, has also applied to the synthesis of hydrophilic latexes. When a divinyl cross-linker is used as a comonomer, the RcP in the heterogeneous media becomes a standard method for the synthesis of crosslinked microparticles with dimensions varying from tens of nanometers to hundreds of microns. Based on the synthetic procedures and the dispersed media used, these microparticles vary significantly in terms of size, composition, surface functionality and morphology, and are broadly used in traditional industries, such as coating, adhesives, rubbers, and emerging new markets, including medical and biological detection and optical imaging probes [181]. Since the invention of CRP techniques, tremendous efforts have been devoted to understanding the fundamentals required for application of various CRP techniques to dispersed media, both O/W system and W/O system. Due to the multicomponent nature of CRPs, as well as the complex nature of heterogeneous media, the initial challenges of conducting a CRP in a dispersed medium included decreased colloidal stability, wide particle size distribution, loss of control over polymerization, and low initiation efficiency. However, remarkable progress has been achieved in the past few years and several recently published reviews have comprehensively covered the recent development of true CRPs in dispersed systems [182–188]. Compared to the conventional RcP of cross-linker in the heterogeneous media, the CRcP of cross-linker produces cross-linked microparticles with controlled structure and preserved chain-end initiating sites. The latter feature enables further chain extension by polymerizing another monomer from the microgels to functionalize the microgel surface and produce amphiphilic hairy particles. 4.5. Avoiding gelation in conventional RP by using chain transfer agent As discussed in Section 4.1, the intrinsic limitations in conventional RP technique, such as slow initiation, result in gelation at low monomer conversion and gels with a heterogeneous structure. In order to effectively postpone and even prevent the macroscopic gelation in the RP system, Sherrington developed a practical strategy for the synthesis of soluble branched polymers, the “Strathclyde route”, which uses a large amount of radical chain transfer agent, such as a mercaptan, during the RcP of monomer and cross-linker [189–191]. The number and the kinetic length of the primary chains were controlled by the amount of chain transfer agent used, which was usually present in H. Gao, K. Matyjaszewski / Progress in Polymer Science 34 (2009) 317–350 335 Scheme 16. Effect of cross-linker reactivity on experimental gel points [178]. Reproduced with permission from American Chemical Society. significant molar excess relative to the free radical initiator in order to reduce the primary chain length and retard branching and gelation [189,192,193]. This situation is very similar to that arising in RAFT polymerization, although the re-activation of the “dead” polymer chains is not possible in the “Strathclyde route”. Similarly, Sato et al. [194,195] reported a method employing a high concentration of azobased thermal initiator during the homopolymerization of divinyl adipate. The high concentration of initiator resulted in an increased rate of termination reactions and fast chain transfer to initiator. Thus a large number of primary chains were introduced into the reaction at early stage of polymerization, which decreased the length of primary chains and produced soluble branched polymers. 5. Other strategies for introduction of branching points Several other strategies have also been extensively employed for the synthesis of polymers with branched architectures, including: (1) the use of multifunctional initiators to introduce branching points into the polymer chains before the polymerization of monovinyl monomer, (2) the use of multifunctional coupling agents to introduce branching points after the formation of arms or side chains, and (3) the use of AB* inimer (initiator–monomer containing double bond A and initiator fragment B* in one molecule) to introduce “T” shaped branching points into the (hyper)branched polymers. 5.1. Introduction of branching points using an inimer As discussed in Section 4, branched polymers and gels are produced during the CRcP of monomers and divinyl cross-linkers. The pendant vinyl groups in the polymer chains are generated by the incorporation of free cross-linker and consumed via their reaction with propagating radicals to produce an “X” shaped cross-linkage, from which four polymer chains radiate out. Due to the adjustable molar ratio of cross-linker to initiator and the statistical distribution of cross-linkage among the primary chains, gelation occurs in the system when the average number of cross-linkage per primary chain reaches a critical value. In other words, the reaction has to be stopped before the gel point if soluble branched polymers are targeted. A recently developed comparable reaction is the chaingrowth self-condensing vinyl polymerization (SCVP) of an AB* inimer [11], which provides a convenient, one-pot synthesis of hyperbranched polymers by using controlled polymerization techniques. During the polymerization, the fragment B* can be converted to an active initiating group by an external stimulus and react with the chain-end vinyl groups to generate a hyperbranched polymer with “T” shaped cross-linkage, with three radiating polymer chains. In an ideal case without any chain transfer and termination reactions, the number of initiating sites in a hyperbranched molecule is equal to its DP, while the number of pendant vinyl group is only one (Scheme 17). Moreover, every primary chain contains one cross-linkage or two cross-linking units, and there is no distribution of cross-linkage among different chains. Therefore, no gelation occurs during the SCVP reaction even at complete conversion. The SCVP of an inimer is very similar to the polycondensation reactions involving trifunctional AB2 monomers. In both reactions, degree of branching (DB) ≈ 0.5 can be reached at high conversion and the polydispersities are predicted to be very high Mw /Mn = DPn [196,197]. A variety of hyperbranched polymers, such as polySt and its derivatives, polyacrylates, polymethacrylates and poly(vinyl ether)s, have been synthesized using living anionic [198], cationic [11,199], ATRP [200–203], NMP [204], and RAFT [205] techniques. A similar strategy was also applied to selfcondensing ring-opening polymerization of cyclic inimers for successful synthesis of hyperbranched polyamines, polyethers and polyesters [206–208]. Hyperbranched polymers with narrower MWD and higher DB were obtained by combining the use of a multifunctional initiator and slow addition of the inimer to the polymerization [206]. When a monovinyl monomer, M, was copolymerized with AB* inimer, the SCVP technique was extended to SCVCP, which could produce hyperbranched polymers with various functionalities, controlled polydispersity and DB. Different types of functional groups can be incorporated into the hyperbranched polymers, depending on the chemical nature of the comonomer. The chain architecture and the value of DB can be easily controlled by a suitable choice of the ratio of comonomer to inimer (ˇ = [M]0 /[AB*]0 ) in the 336 H. Gao, K. Matyjaszewski / Progress in Polymer Science 34 (2009) 317–350 Scheme 17. Synthesis of hyperbranched polymers via SCVP of AB* inimer. feed [209]. A variety of hyperbranched polymers have been synthesized by using CRP techniques for SCVCP. When a hydrophilic comonomer, or its precursor was used, watersoluble hyperbranched polymers were obtained [210,211]. A derivative of the SCVCP of an inimer and comonomer is the homopolymerization of a linear macroinimer, an A-polyM-B* molecule. The macroinimer was synthesized by homopolymerization of a monomer, M, followed by chain-end modification to introduce the double bond at ␣end, which resulted in a well controlled structure for the macroinimer [212,213]. The theoretical calculation indicated that when a monodisperse macroinimer with DP = ˇ was used, the MWD of the obtained hyperbranched polymer with a given Mn value could be (ˇ + 1) times lower than that from the SCVP of an AB* inimer [214]. 5.2. Introduction of branching points using multifunctional initiators The advantageous features of CRP reactions include fast initiation, concurrent growth of all polymer chains and suppressed fraction of terminated chains which together allow the use of multifunctional initiators for the synthesis of polymers with branched architecture. Typical examples include the synthesis of star polymers via the “core-first” method and the synthesis of brush/grafted copolymers via the “grafting-from” method. 5.2.1. Synthesis of star and miktoarm star polymers by the “core-first” method The “core-first” method, the use of a multifunctional initiator (core), was first employed for the synthesis of star polymers after the development of various CRP tech- niques, [215–229]. The star core could be an atom, a small molecule, or a macromolecule (Scheme 18). The number of arms per star polymer is determined by the number of initiating functionalities on the multifunctional initiator when the initiation efficiency of the multifunctional initiator is quantitative. The very early examples exclusively employed multifunctional small molecules as the initiator for the synthesis of well-defined star polymers with the number of arms less than 10. Subsequently, methods were developed for star synthesis using multifunctional polymers as initiators, which included dendrimers [230–233], hyperbranched polymers [234–237], and inorganic nanoparticles [238–240]. Consequently, the star-like polymer contained a statistical distribution of tens to hundreds of arms per star. The star polymers synthesized by the “core-first” method preserved the initiating site at the chain end, which can be further used for chain extension with a second monomer to form star block copolymers (Scheme 18) [221,222,241–243]. The use of functional monomers and multifunctional initiators allowed different types of functionalities to be incorporated into the star core, arm and star periphery, which led to a number of applications of these functional star polymers in catalysis [244], as unimolecular templates for inorganic nanoparticles [245–247], sacrificial templates for pores [248], and drug delivery vehicles [45,46,249]. It is interesting to note that the RAFT technique was recently applied for star synthesis using a multifunctional mediating agent. The core could be linked to the arms either via the leaving R-group (R-RAFT) [226,228,229] or via the stabilizing Z-group (Z-RAFT) [250–254]. The RRAFT approach is similar to the standard “core-first” route applied in ATRP and NMP methods, in which the arms grow H. Gao, K. Matyjaszewski / Progress in Polymer Science 34 (2009) 317–350 337 Scheme 18. Synthesis of star polymers by using the “core-first” method. in a divergent manner from the core and termination of two star polymers results in formation of star–star coupling product. In contrast, the radical mediating functionality (such as dithioester or xanthate) does not fragment from the star core in the Z-RAFT method. Dormant chains or arms linked to the star core are released for propagation when another propagating chain couples with the star core in a reversible chain transfer reaction. Thus, this Z-RAFT method for star synthesis is more like a “coupling-onto” synthetic category (Section 5.3.1), rather than the typical “core-first” method. Only linear–linear radical termination reactions occur in the Z-RAFT method, although the chain transfer reaction to polymer arms during the polymerization of acrylates can generate star-based radicals [254]. The main synthetic challenge in the Z-RAFT approach is that the steric congestion builds up around the core as the molecular weight of the arm and the number of arms increase [255], which will be discussed in Section 5.3.1. Miktoarm star copolymers containing two or more arm species could also be synthesized by using a multifunctional miktoinitiator containing several initiating species with different initiation mechanisms, especially by combining various CRPs and ROP technique [15,241,256–260]. Different types of arms grow sequentially from the corresponding initiating sites via polymerization of various monomer species using different polymerization methods. The numbers and species of the arms in the miktoarm star copolymer are determined by the numbers and species of the initiating sites on the miktoinitiator. Chain-end modification of a preformed linear MI is an alternative strategy for the synthesis of miktoinitiators [261–265]. A branching point containing multiple initiating sites is introduced into the chain end of linear polymer, which is subsequently used as a MI for polymerization of another monomer to grow a second compositionally different kind of arms from the branching point. 5.2.2. Synthesis of molecular brushes by the “grafting-from” method Molecular brushes, or bottle brush macromolecules due to their appearance, are unique polymer molecules whose conformation and physical properties are controlled by steric repulsion of densely grafted side chains [9,10]. Molecular brushes are usually synthesized via one of three strategies: “grafting-from”, “grafting-onto” (Section 5.3.2), and “grafting-through” (Section 5.4). The “grafting-from” strategy is applied to the synthesis of molecular brushes starting with the preparation of a backbone polymer. The linear backbone precursor represents a multifunctional MI with a predetermined number of initiation sites that are subsequently used to initiate the polymerization of side chains. The MI can be prepared by direct polymerization of a functional monomer containing initiating side groups [266–268], or by first preparing a precursor that is subsequently functionalized to attach initiating moieties to the backbone [269,270]. During the polymerization, all side chains within one molecular brush grow in a gradual and simultaneous pace, which alleviates concerns over steric congestion and leads to successful synthesis of densely grafted polymers, essentially one side chain per backbone unit [10]. CRP techniques are suitable for molecular brush synthesis since they facilitate a low instantaneous concentration of radical species, thereby limiting intermolecular and intramolecular termination events. This is especially important for brush polymerizations due to the high local concentration of chains that exist in the vicinity of the backbone polymer. By far grafting side chains from the multifunctional backbone has mainly been achieved by use of ATRP because of the relative ease of preparing the multifunctional MI. The monomer species selected for the growth of the tethered side chains included St [269–271], acrylate [269–271], methacrylate [272–274], acrylamide [273], and acrylonitrile [275]. A potential concern associated with the “grafting-from” method is reduced levels of control over side-chain length and grafting density, both of which depend on the initiation efficiency of the multifunctional backbone MI [116]. Molecular brushes synthesized by the “grafting-from” route preserve the functional initiating sites at the sidechain ends, which can be further used for chain extension to produce core–shell brush molecules with block-copolymer side chains [269–271,276,277]. When the side chain is an amphiphilic block copolymer, the cylindrical polymer brush resembles a unimolecular micelle of cylindrical shape, which can be used as a unimolecular template for the synthesis of inorganic nanorods [278–280]. Moreover, 338 H. Gao, K. Matyjaszewski / Progress in Polymer Science 34 (2009) 317–350 these cylindrical micelles can respond to environmental stimuli (e.g., solvent, pH, and temperature) in an anisotropic manner and show unique solution properties. Other examples of molecular brushes with complex architectures include a cylindrical brush with gradient grafting density [281,282], a star-like brush [283], and a hetero-grafted brush containing two or more side chains with different compositions [268,277]. Molecular brushes with a high density of side chains were also synthesized using the “grafting-from” strategy, including a doubly grafted brush containing two side chains per backbone monomer unit [284], and a dendronized brush containing four linear side chains per backbone unit [285]. When two chemically different side chains were incorporated into one brush molecule, the side chains can have a mixed structure or segregate into two different hemicylinders, depending on the distribution of the side chains along the backbone, their interaction parameters, as well as the nature of the solvent. This latter type of macromolecule has been named a Janus cylinder [286] or proto-type brushes [287] because of the incompatibility of the different side chains. 5.3. Introduction of branching points using multifunctional coupling agents (MCAs) Compared to the use of multifunctional initiator, from which the arms or side chains start to grow, the use of multifunctional coupling agent represents a different synthetic concept to introduce a branching point into a macromolecule via the coupling reaction between a MCA and linear polymers with a reactive group at the chain end. Depending on the number of functional groups and the shape of the MCA, this strategy is typically used for the synthesis of star polymers via the “coupling-onto” method and the synthesis of brush/grafted polymers via the “graftingonto” method. In the latter case, the MCA is a linear polymer chain containing hundreds of coupling side groups. 5.3.1. Synthesis of star polymers by the “coupling-onto” method The “coupling-onto” method was developed and widely used in anionic polymerization procedures for the synthesis of well-defined star and miktoarm star copolymers with various arm compositions and arm numbers, up to 128 [288]. The living polymer chain with a terminal carbanion chain end is deactivated via coupling with a MCA, such as multifunctional chlorosilane or chloromethyl benzene. When an excess amount of linear chains are used, the coupling efficiency is nearly quantitative. The functionality of the MCA determines the number of arms in the resulting star molecule. However, the direct application of this “coupling-onto” method in CRPs for the synthesis of star polymers was not straightforward. The main problem encountered was a non-selective and slow coupling reaction between the polymer radicals and the MCA, which was further complicated by the high steric congestion around the star core. For example, during the Z-RAFT approach for the synthesis of star polymers (Section 5.2.1), the experimental molecular weight gradually deviated from the expected values with increasing arm molecular weight [250,253,255]. Since the reactive center (radical mediating functionality) sits close to the star core, the degree of control over the RAFT process is speculated to be reduced due to steric shielding from the surrounded arms, which decreases the coupling, i.e., chain transfer, efficiency between the propagating radicals and Z core [255,289]. The shielding effect could be alleviated by expanding the Z core moiety and become more significant with increase of arm length and targeted number of arms. Moreover, it is difficult to use an excess of linear chains, i.e., through the addition of more free radical initiator, in the Z-RAFT method because of the significant degree of linear–linear radical coupling reactions in the system. This side reaction was largely avoided in the anionic polymerization procedure due to the electrostatic repulsion between two anion chain ends. Compared to the Z-RAFT method, which generates the star polymers during the polymerization via degenerative chain transfer reactions between propagating linear chains and multifunctional Z cores, an alternative strategy for the synthesis of star polymers employing CRP methods includes conducting post-polymerization coupling reactions between chain-end functional polymers with a MCA containing complementary functionality. The involved coupling reaction could further include secondary interactions, such as hydrogen bonding [290], coordination [291], and ionic interaction [292,293]. Two requirements should be satisfied in order to successfully prepare star molecules using this approach: high chain-end functionality of the linear arm precursor and selection of a highly efficient organic coupling reaction. Among the various CRP techniques, ATRP is particularly attractive for the synthesis of polymers with high chainend functionality [4]. For example, selection of a functional ATRP initiator allows the incorporation of functionality at the ␣-end of a polymer chain. At the same time, the end retains a terminal halogen atom(s) that can be readily converted into various desired functional chain-end groups through appropriate chemical transformations, especially nucleophilic substitution reactions. Among the various efficient coupling reactions, “click reactions”, a term coined by Sharpless and coworkers [294], have gained a great deal of attention due to their high specificity and quantitative yields in the presence of most functional groups. The most popular click reaction is the copper(I)-catalyzed Huisgen dipolar cycloaddition reaction between an azide and an alkyne, leading to formation of a 1,2,3-triazole [295–297]. Recent publications on this click reaction [298–302] indicate that it is a versatile method for the synthesis of functional polymers [303–310], bioconjugated polymers [309,311,312], and polymers with complex topologies [313–323]. The first synthesis of star polymers using the combination of ATRP and click reactions was accomplished by coupling azide-terminated polySt with compounds bearing multiple alkyne functionalities (Scheme 19). The coupling agents included a di-, tri-, and tetra-alkyne, to which azideterminated polySt was attached with 95, 90, and 83% efficiency, respectively [320]. All coupling reactions were complete within 3 h. The presence of small amount of Cu(0) enhanced the coupling efficiency, and the highest product yield was obtained when the molar ratio of azide/alkyne H. Gao, K. Matyjaszewski / Progress in Polymer Science 34 (2009) 317–350 339 Scheme 19. Schematic illustration of synthesis of linear, 3-arm and 4-arm polySt star polymers by combination of ATRP and click reactions [320]. Reproduced with permission from American Chemical Society. groups was close to unity. However, the efficiency of the click reaction decreased with increasing molecular weight of the arm precursors, which was probably due to higher steric congestion and less precisely balanced stoichiometry between azide and alkyne groups. Nevertheless this “coupling-onto” strategy has proven a versatile method for preparation of numerous star polymers with high star yield. Similar methodologies were utilized shortly thereafter for successful synthesis of star-shaped polymers with various arm numbers and chemical compositions [324–326], including the synthesis of PCL star polymers by coupling of alkyne-terminated linear PCL precursor with a heptaazide-containing -cyclodextrin [324]. Three-arm (polySt-b-PEO)3 star block copolymers were also synthesized via click coupling of (polySt-N3 )3 star polymer with alkyne-terminated PEO precursor [326]. Monteiro reported the synthesis of 3-arm miktoarm star polymers and the first-generation of polymeric miktodendrimers comprised of polySt, polytBA and polyMA arms, by combining ATRP and click chemistry [327]. The miktoarm stars were prepared by first coupling azideterminated polymer to a large excess of tripropargylamine, followed by addition of the purified dialkyne-containing linear polymer to a solution of a different azide-terminated polymer. Other groups have combined different CRP techniques with click reactions and synthesized various miktoarm star copolymers containing 3–5 arms with different molecular weights and chemical compositions [328–333]. For instance, Tunca prepared ABC miktoarm star copolymers by a combination of ATRP, NMP, and click chemistry [328]. A trifunctional miktoinitiator was synthesized that contained an ATRP initiating moiety, an alkoxyamine, and an alkyne group. This initiator was sequentially used for the ATRP of MMA, the NMP of St, and followed by click coupling with azide-terminated polytBA or PEO (Scheme 20). In addition to the broad application of the Cu(I)catalyzed cycloaddition reaction between an azide and an alkyne, other types of highly efficient click reactions, such as Diel–Alder (DA) reactions, were also used for the synthesis of star and miktoarm star copolymers [334–336]. The efficiency of a DA coupling reaction was found to be comparable to the Cu(I)-catalyzed azide–alkyne cycloaddition coupling reaction. For example, the yield of (polytBA)3 star polymers reached 93% via coupling reaction between furan protected maleimide terminated polytBA linear chains and trianthracene functionalized MCA [334]. 5.3.2. Synthesis of brush/grafted copolymers by the “grafting-onto” method Molecular brushes or densely grafted copolymers can also be synthesized via the coupling reactions between end-functional linear chains with a polymer backbone precursor. Since the MCA used for brush synthesis is usually a linear polymer chain containing hundreds of functional side groups, this strategy is usually termed as the “grafting-onto” method, to differentiate it from the previous “coupling-onto” method (Section 5.3.1) for star synthesis when a small MCA is used. Compared to the “grafting-from” method (Section 5.2.2), an advantage of the “grafting-onto” route is that both the backbone and side chains are prepared separately with a better controlled structure. Due to the large number of side chains per backbone, the steric congestion among the side chains is expected to be more severe than the star polymers. Therefore, an excess of side chains is usually employed to drive the grafting reaction to higher conversion, which conversely introduces increased difficulty during purification of the brush polymer and removal of the unreacted side chains. 340 H. Gao, K. Matyjaszewski / Progress in Polymer Science 34 (2009) 317–350 Scheme 20. Synthesis of ABC miktoarm star copolymers by combination of ATRP, NMP and click reactions [328]. Reproduced with permission from WILEY-VCH Verlag GmbH&Co. Brush polymers with high grafting density (numberaverage ratio of side chains to backbone monomer units >90%) have been reported, where well-defined side chains synthesized by living anionic polymerization were grafted onto the polymer backbone via reaction with functional side groups, such as alkyl halides [337,338]. Highly efficient click reactions, particularly copper(I)-catalyzed azide–alkyne cycloaddition reactions, were also used for the synthesis of molecular brushes and/or grafted copolymers by combining the click reactions with radical polymerization techniques [309,314,322,323,339–343]. Fréchet and Hawker successfully coupled azide-functionalized dendrons to linear polymeric backbones containing an acetylene side group on every monomer unit [314,339]. When poly(vinyl acetylene) was reacted with benzyl ether dendritic azides, the coupling reaction was quantitative for the preparation of first and second generations of dendritic azides. Recently, poly(2-hydroxyethyl methacrylate) (polyHEMA, DP = 210, Mw /Mn = 1.22) synthesized by ATRP was modified with 4-pentynoic acid in order to incorporate an alkyne functionality onto essentially every monomer unit (polyHEMA-alkyne) along the backbone. Subsequent reaction with azide-terminated polymers enabled efficient synthesis of well-defined brushes [322]. The efficiency of “grafting-onto” reactions strongly depended on the size of side chains. For short “thin” PEO side chains, the efficiency of grafting reached 88%. But the efficiency was much lower for longer PEO chains and for “thicker” polySt or polyBA side chains. Alternatively, grafted copolymers were also synthesized by grafting acetylene-terminated side chains onto multifunctional backbones containing azide side groups [323]. As another efficient click reaction, the DA coupling reaction, [4 + 2] system, between a diene and a dienophile was also applied for the synthesis of grafted copoly- H. Gao, K. Matyjaszewski / Progress in Polymer Science 34 (2009) 317–350 mers. For example, two types of well-defined polySt-g-PEO and polySt-g-polyMMA grafted copolymers were successfully prepared via grafting maleimide-terminated side chains onto multifunctional polymeric backbones containing anthryl side groups [344]. Hetero-grafted copolymers containing two types of side chains, polyMMA and PEO, were also synthesized by combining copper(I)-catalyzed azide–alkyne coupling reaction and DA coupling reactions [345]. 5.3.3. Synthesis of model networks by using MCA in CRPs A degradable model network was prepared by coupling telechelic linear polymers, synthesized via ATRP, with MCAs using the Cu(I)-catalyzed azide–alkyne cycloaddition [321]. A difunctional initiator with an ozonizable group at the center of the molecule was used to initiate an ATRP of tBA. Azide functionality was introduced into the telechelic polymer by reaction of the dibromineterminated Br-polytBA-Br with NaN3 in DMF. Regular well-defined networks were obtained by coupling the diazide-functionalized N3 -polytBA-N3 with tri- or tetraacetylene MCAs using “click chemistry” (Scheme 21). The resulting networks were ozonized in order to obtain soluble polymer products, which were then analyzed by GPC. The cleaved product of the network from tri-acetylene MCA exhibited a Mn value equal to 1.5 times that of the linear N3 -polytBA-N3 polymer precursor, indicating the cleaved product was a three-arm star polymer. The product obtained from the cleavage of tetra-functional network displayed a Mn equal to 2 times that of N3 -polytBA-N3 , i.e., a four-arm star. However, the GPC analysis revealed that both systems also contained polymers with molecular weight equal to one-half that of the parent polymer, suggesting the presence of unreacted azide or alkyne groups. Thereafter, different types of polymeric networks were synthesized via click coupling reactions between multifunctional prepolymers containing azide and alkyne groups [317,346,347] or diene and dienophile groups [348]. The use of well-defined telechelic polymers produced model networks [80] with controlled molecular weight between cross-links [321,346]. 5.4. Synthesis of brush/grafted copolymers using the “grafting-through” method The “grafting-through” method involves the homopolymerization and/or copolymerization of MMs through their terminal vinyl groups, which generates “T” shaped branching points along the polymer backbone. It is worth noting that a linear MM, to some extent, can be treated as a polymer chain containing a pendant vinyl group at the chain end. If the pendant vinyl group was located randomly along the backbone of the MM, its polymerization will generate an “X” shaped branching point along the backbone of the grafted polymer. An attractive feature of the “graftingthrough” method allows every repeat unit of the backbone containing one side chain. However, due to the low concentration of polymerizable chain-end vinyl groups and the high steric hindrance around the chain-end propagating radical, the DP of the backbone is low when high molecular weight MM with a “bulky” structure was used 341 [349]. The incomplete conversion of linear MM requires an extra purification step (such as fractionation and dialysis) to remove the unincorporated MM. Conventional RP [350–352], anionic polymerization [353,354], ring-opening metathesis polymerization [355–358], and coordination polymerization [359,360] techniques have been applied to the synthesis of various types of cylindrical brushes using the “grafting-through” route. The recently developed CRP methods, allowing a better control of the backbone structure than conventional RP, was successfully employed for homopolymerization of less stericly hindered PEO MM and produced a cylindrical brush with backbone DP = 425 at 90% MM conversion [361]. However, the ATRP of a bulky MM, such as polyBA MM with an acrylate chain-end group, was very slow and resulted in limited DP of the backbone [362]. RcP of two MMs allows the synthesis of hetero-grafted brushes with side chains of different chemical structures. The relative reactivity of the MMs, affected by the identity of the chain-end vinyl groups, the nature of side chains and the presence of additives [363–367], determines the chain-sequence distribution of the two side chains along the brush backbone. For instance, conventional RcP of vinylbenzyl-terminated polySt MM and methacryloylterminated PEO MM induced phase separation during the copolymerization, due to the dramatic polarity difference of these two MMs. When an additive, such as tin tetrachloride, was added, the resulting hetero-grafted brushes showed an alternating distribution of the two side chains along the backbone and interesting aggregation behavior in solution [368]. ATRP was used to copolymerize a poly(dimethylsiloxane) (PDMS) MM and a PEO MM [369]. After annealing at high temperature the hetero-grafted copolymer demonstrated a super-soft elastomeric behavior which indicated the presence of a phase separated amorphous PDMS fraction and crystallized PEO segments [370]. 6. Summary and outlook The explosive development of various CRP techniques provides an unparallel opportunity for the synthesis of various types of branched polymers with controlled architecture and site-specific functionality. The employment of a divinyl cross-linker in the CRP process enables the synthesis of new polymer materials with tailored structures targeting specialty applications. A variety of functionalities can be incorporated into the polymers in a predetermined manner through rational selection of functional initiators, monomers and/or divinyl cross-linkers. The structure of polymers varies from star polymers containing a crosslinked core and multiple radiating arms with preselected functionality to highly branched polymers and/or insoluble gels by simply changing the sequence of polymerization of the monomer and cross-linker. Polymerization of monomer prior to addition of the cross-linker, or polymerization of monomer after the polymerization of cross-linker, results in formation of star-like polymers with a cross-linked core, but with different site-specific functionality. Concurrent copolymerization of monomer and cross-linker generates “randomly” branched polymers or gels. Star polymers are of particular interest in biomedical and/or pharmaceutical fields and the synthesis of biocom- 342 H. Gao, K. Matyjaszewski / Progress in Polymer Science 34 (2009) 317–350 Scheme 21. Synthesis of degradable model network by ATRP and click chemistry [321]. Reproduced with permission from American Chemical Society. patible and degradable star nanomaterials with minimal environmental impact is of increasing importance. ATRP is by far the most efficient and hence widely applied CRP technique for the synthesis of star polymers with core–shell structures and amphiphilic compositions. The recent development of new ATRP techniques, such as activators regenerated by electron transfer (ARGET) [39], and initiators for continuous activator regeneration (ICAR) [41], dramatically decreased the use of copper catalyst to ppm level and allowed the polymerization to be performed in the presence of limited amounts of air [371,372]. Moreover, conducting the polymerization in a confined space, e.g., heterogeneous media, can potentially suppress the intermolecular termination reactions between multifunctional MIs, while maintaining economically viable polymerization rates and attaining high monomer conversion [373,374]. The application of these new polymerization techniques and processes, when combined with the various developed synthetic methods, will attract much more commercial interest for synthetic star polymers in a number of diverse applications. The CRcP of a monomer and a divinyl cross-linker shows a retarded gelation process in the cross-linking reaction because of the features of CRP, such as fast initiation and quick deactivation reactions. Consequently, the network produced by a CRP has a more homogeneous structure and preserves the chain-end functionality when compared to that from conventional RP. The structural difference in the networks should influence their properties, such as mechanical strength, swelling ratios and deswelling rates. A multi-vinyl cross-linker can also be used in CRP crosslinking reactions. It is expected that the study of gels with controlled structure and functionality will increase in the future as the materials with improved properties will be important for membranes, controlled drug release and special separation techniques. The synthetic advances resulting in predetermined manipulation of the polymer structure will stimulate the development of novel characterization techniques to quantitatively determine the topology, composition, level of functionality, as well as the existence of imperfections in these complex polymers. A comprehensive understanding of the structure–property correlation on these materials will be required in order to rationally design the macromolecular structures based on the final application. 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