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Anionic addition polymerization
Anionic addition polymerization
Anionic addition polymerization
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IUPAC definition

anionic polymerization: An ionic polymerization in which the kinetic-chain carriers are anions. [1]

In polymer chemistry, anionic addition polymerization is a form of chain-growth polymerization or addition polymerization that involves the polymerization of monomers initiated with anions. The type of reaction has many manifestations, but traditionally vinyl monomers are used.[2][3] Often anionic polymerization involves living polymerizations, which allows control of structure and composition.[2][3]

History

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Product of the reductive coupling of styrene with lithium, 1,4-dilithio-1,4-diphenylbutane. In the original work, Szwarc studied the analogous disodium compound.[4]

As early as 1936, Karl Ziegler proposed that anionic polymerization of styrene and butadiene by consecutive addition of monomer to an alkyl lithium initiator occurred without chain transfer or termination. Twenty years later, living polymerization was demonstrated by Michael Szwarc and coworkers.[5][6] In one of the breakthrough events in the field of polymer science, Szwarc elucidated that electron transfer occurred from radical anion sodium naphthalene to styrene. The results in the formation of an organosodium species, which rapidly added styrene to form a "two – ended living polymer." An important aspect of his work, Szwarc employed the aprotic solvent tetrahydrofuran. Being a physical chemist, Szwarc elucidated the kinetics and the thermodynamics of the process in considerable detail. At the same time, he explored the structure property relationship of the various ion pairs and radical ions involved. This work provided the foundations for the synthesis of polymers with improved control over molecular weight, molecular weight distribution, and the architecture.[7]

The use of alkali metals to initiate polymerization of 1,3-dienes led to the discovery by Stavely and co-workers at Firestone Tire and Rubber company of cis-1,4-polyisoprene.[8] This sparked the development of commercial anionic polymerization processes that utilize alkyllithium initiators.[3]

Roderic Quirk won the 2019 Charles Goodyear Medal in recognition of his contributions to anionic polymerization technology. He was introduced to the subject while working in a Phillips Petroleum lab with Henry Hsieh.

Monomer characteristics

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Two broad classes of monomers are susceptible to anionic polymerization.[3]

Vinyl monomers have the formula CH2=CHR, the most important are styrene (R = C6H5), butadiene (R = CH=CH2), and isoprene (R = C(Me)=CH2). A second major class of monomers are acrylate esters, such as acrylonitrile, methacrylate, cyanoacrylate, and acrolein. Other vinyl monomers include vinylpyridine, vinyl sulfone, vinyl sulfoxide, vinyl silanes.[3]

Examples of polar monomers
Examples of vinyl monomers

Cyclic monomers

[edit]
The anionic ring-opening polymerization of ε-caprolactone, initiated by alkoxide
Hexamethylcyclotrisiloxane is a cyclic monomer that is susceptible to anionic polymerization to siloxane polymers.

Many cyclic compounds are susceptible to ring-opening polymerization. Epoxides, cyclic trisiloxanes, some lactones, lactides, cyclic carbonates, and amino acid N-carboxyanhydrides.

In order for polymerization to occur with vinyl monomers, the substituents on the double bond must be able to stabilize a negative charge. Stabilization occurs through delocalization of the negative charge. Because of the nature of the carbanion propagating center, substituents that react with bases or nucleophiles either must not be present or be protected.[3]

Initiation

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Initiators are selected based on the reactivity of the monomers. Highly electrophilic monomers such as cyanoacrylates require only weakly nucleophilic initiators, such as amines, phosphines, or even halides. Less reactive monomers such as styrene require powerful nucleophiles such as butyl lithium. Reactions of intermediate strength are used for monomers of intermediate reactivity such as vinylpyridine.[3]

The solvents used in anionic addition polymerizations are determined by the reactivity of both the initiator and nature of the propagating chain end. Anionic species with low reactivity, such as heterocyclic monomers, can use a wide range of solvents.[3]

Initiation by electron transfer

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Initiation of styrene polymerization with sodium naphthalene proceeds by electron transfer from the naphthalene radical anion to the monomer. The resulting radical dimerizes to give a disodium compound, which then functions as the initiator. Polar solvents are necessary for this type of initiation both for stability of the anion-radical and to solvate the cation species formed.[8] The anion-radical can then transfer an electron to the monomer. Initiation can also involve the transfer of an electron from the alkali metal to the monomer to form an anion-radical. Initiation occurs on the surface of the metal, with the reversible transfer of an electron to the adsorbed monomer.[3]

Initiation by strong anions

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Nucleophilic initiators include covalent or ionic metal amides, alkoxides, hydroxides, cyanides, phosphines, amines and organometallic compounds (alkyllithium compounds and Grignard reagents). The initiation process involves the addition of a neutral (B:) or negative (:B−) nucleophile to the monomer.[8] The most commercially useful of these initiators has been the alkyllithium initiators. They are primarily used for the polymerization of styrenes and dienes.[3]

Monomers activated by strong electronegative groups may be initiated even by weak anionic or neutral nucleophiles (i.e. amines, phosphines). Most prominent example is the curing of cyanoacrylate, which constitutes the basis for superglue. Here, only traces of basic impurities are sufficient to induce an anionic addition polymerization or zwitterionic addition polymerization, respectively.[9]

Propagation

[edit]
Organolithium-initiated polymerization of styrene

Propagation in anionic addition polymerization results in the complete consumption of monomer. This stage is often fast, even at low temperatures.[2]

Living anionic polymerization

[edit]

Living anionic polymerization is a living polymerization technique involving an anionic propagating species.

Living anionic polymerization was demonstrated by Szwarc and co workers in 1956. Their initial work was based on the polymerization of styrene and dienes. One of the remarkable features of living anionic polymerization is that the mechanism involves no formal termination step. In the absence of impurities, the carbanion would still be active and capable of adding another monomer. The chains will remain active indefinitely unless there is inadvertent or deliberate termination or chain transfer. This gave rise to two important consequences:

  1. The number average molecular weight, Mn, of the polymer resulting from such a system could be calculated by the amount of consumed monomer and the initiator used for the polymerization, as the degree of polymerization would be the ratio of the moles of the monomer consumed to the moles of the initiator added.
    , where Mo = formula weight of the repeating unit, [M]o = initial concentration of the monomer, and [I] = concentration of the initiator.
  2. All the chains are initiated at roughly the same time. The final result is that the polymer synthesis can be done in a much more controlled manner in terms of the molecular weight and molecular weight distribution (Poisson distribution).

The following experimental criteria have been proposed as a tool for identifying a system as living polymerization system.

  • Polymerization until the monomer is completely consumed and until further monomer is added.
  • Constant number of active centers or propagating species.
  • Poisson distribution of molecular weight
  • Chain end functionalization can be carried out quantitatively.

However, in practice, even in the absence of terminating agents, the concentration of the living anions will reduce with time due to a decay mechanism termed as spontaneous termination.[8]

Consequences of living polymerization

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Block copolymers

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Synthesis of block copolymers is one of the most important applications of living polymerization as it offers the best control over structure. The nucleophilicity of the resulting carbanion will govern the order of monomer addition, as the monomer forming the less nucleophilic propagating species may inhibit the addition of the more nucleophilic monomer onto the chain. An extension of the above concept is the formation of triblock copolymers where each step of such a sequence aims to prepare a block segment with predictable, known molecular weight and narrow molecular weight distribution without chain termination or transfer.[10]

Sequential monomer addition is the dominant method, also this simple approach suffers some limitations. Moreover, this strategy, enables synthesis of linear block copolymer structures that are not accessible via sequential monomer addition. For common A-b-B structures, sequential block copolymerization gives access to well defined block copolymers only if the crossover reaction rate constant is significantly higher than the rate constant of the homopolymerization of the second monomer, i.e., kAA >> kBB.[11]

End-group functionalization/termination

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One of the remarkable features of living anionic polymerization is the absence of a formal termination step. In the absence of impurities, the carbanion would remain active, awaiting the addition of new monomer. Termination can occur through unintentional quenching by impurities, often present in trace amounts. Typical impurities include oxygen, carbon dioxide, or water. Termination intentionally allows the introduction of tailored end groups.

Living anionic polymerization allow the incorporation of functional end-groups, usually added to quench polymerization. End-groups that have been used in the functionalization of α-haloalkanes include hydroxide, -NH2, -OH, -SH, -CHO,-COCH3, -COOH, and epoxides.

Addition of hydroxide group through an epoxide.

An alternative approach for functionalizing end-groups is to begin polymerization with a functional anionic initiator.[12] In this case, the functional groups are protected since the ends of the anionic polymer chain is a strong base. This method leads to polymers with controlled molecular weights and narrow molecular weight distributions.[13]

Additional reading

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  • Cowie, J.; Arrighi, V. Polymers: Chemistry and Physics of Modern Materials; CRC Press: Boca Raton, FL, 2008.
  • Hadjichristidis, N.; Iatrou, H.; Pitsikalis, P.; Mays, J. (2006). "Macromolecular architectures by living and controlled/living polymerizations". Prog. Polym. Sci. 31 (12): 1068–1132. doi:10.1016/j.progpolymsci.2006.07.002.
  • Efstratiadis, V.; Tselikas, Y.; Hadjichristidis, N.; Li, J.; Yunan, W.; Mays, J. (1994). "Synthesis and characterization of poly(methyl methacrylate) star polymers". Polym Int. 4 (2): 171–179. doi:10.1002/pi.1994.210330208.
  • Rempp, P.; Franta, E.; Herz, J. (1998). "Macromolecular Engineering by Anionic Methods". Polysiloxane Copolymers/Anionic Polymerization. Advances in Polymer Science. Vol. 4. pp. 145–173. doi:10.1007/BFb0025276. ISBN 978-3-540-18506-2. S2CID 92176703.
  • Bellas, Vasilios; Rehahn, Matthias (2 July 2007). "Universal Methodology for Block Copolymer Synthesis". Macromolecular Rapid Communications. 28 (13): 1415–1421. doi:10.1002/marc.200700127. S2CID 96556942.
  • Nikos Hadjichristidis; Akira Hirao, eds. (2015). Anionic Polymerization Principles, Practice, Strength, Consequences and Applications. Springer. ISBN 978-4-431-54186-8.

References

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Revisions and contributorsEdit on WikipediaRead on Wikipedia

Anionic addition polymerization

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Anionic addition polymerization is a type of ionic in which the active propagating species is a negatively charged anion, often a paired with a , that initiates and propagates by sequential of monomers to the growing chain end. This process is distinguished by its potential for living polymerization, where, in the absence of terminating impurities like or oxygen, there is no spontaneous chain termination or transfer, enabling precise control over molecular weight (determined by the monomer-to-initiator ratio) and narrow polydispersity indices typically around 1.03–1.2. Common initiators include organolithium compounds such as and alkali metal-based systems like sodium naphthalene, while suitable monomers encompass electron-rich vinyl types like styrene, 1,3-butadiene, and , as well as certain polar monomers such as under controlled conditions. The mechanism begins with via nucleophilic attack or from the initiator to the , forming an anionic end that propagates through bimolecular addition steps influenced by solvent polarity—faster in polar media like (rate constants ~10⁷–10⁸ L/mol·s) compared to nonpolar s. Propagation kinetics are generally first-order in concentration but show fractional order in initiator due to aggregation effects, particularly with organolithium . The process's sensitivity to impurities necessitates rigorous purification, but this control allows for the synthesis of advanced structures, including block copolymers (e.g., polystyrene-block-polybutadiene) and star-branched polymers, with applications in thermoplastic elastomers and nanostructured materials. Historically, anionic polymerization traces back to early 20th-century efforts using alkali metals for diene polymerization in production, but its modern foundation was established by Michael Szwarc in 1956 with the demonstration of living polymerization of styrene using sodium naphthalene in , revolutionizing polymer synthesis by enabling "tailor-made" macromolecules. Subsequent advancements, including ligand-assisted control for polar monomers and the development of group transfer polymerization variants, have expanded its scope, broadening industrial uses in adhesives, coatings, and biomedical polymers.

Introduction

Basic Principles

Anionic addition polymerization is a chain-growth process in which the active centers at the growing ends of chains are carbanions that add to the double bonds of vinyl or other unsaturated , forming carbon-carbon bonds without the elimination of small-molecule byproducts. This ionic mechanism contrasts with covalent bond-forming processes in and emphasizes the nucleophilic attack by the anion on the electrophilic carbon of the . The general reaction scheme begins with initiation by a strong nucleophilic species, such as an alkyllithium compound (e.g., , n-BuLi), which adds to or deprotonates the to form the initial carbanionic chain end: n-BuLi + M → n-Bu-M^- Subsequent involves the iterative addition of units (M) to this active end: \sim M^- + n M → \sim (M)_{n+1}^- This step-wise addition continues as long as is available and no terminating agents are present. The kinetics of are typically with respect to both and active chain concentrations, expressed by the rate equation: Rate=kp[M][P∗]\text{Rate} = k_p [M][P^*] where kpk_p is the propagation rate constant, [M] is the monomer concentration, and [P^*] is the concentration of active (carbanionic) chain ends. Unlike free radical polymerization, which proceeds via neutral radicals prone to bimolecular termination, or cationic polymerization employing positively charged centers suited to electron-poor monomers, anionic polymerization uses negatively charged carbanions that favor electron-rich monomers like styrene and dienes. In ideal scenarios, the electrostatic repulsion between like charges prevents spontaneous termination, enabling controlled chain growth. Essential prerequisites include aprotic solvents and rigorous exclusion of protic impurities, oxygen, and carbon dioxide to preserve the anionic active sites from quenching.

Scope and Applications

Anionic addition polymerization is primarily suited for monomers that can stabilize carbanionic chain ends, such as those bearing electron-donating groups. Common examples include conjugated dienes like 1,3-butadiene and , vinyl aromatics such as styrene, and certain polar monomers like alkyl methacrylates. These monomers enable the formation of well-defined polymers with predictable molecular weights and microstructures, distinguishing the process from radical or cationic methods. The technique finds broad industrial applications in producing specialty elastomers and precision materials. Notably, it is used to synthesize styrene-butadiene-styrene (SBS) block copolymers, which serve as elastomers in adhesives, footwear, and automotive components due to their phase-separated morphology combining rubbery and glassy domains. Other uses include telechelic polymers for coatings and surface modifications, as well as precision polymers for applications like carriers and advanced composites. Commercially, anionic polymerization supports the annual production of over three million tons of polymers, including , , and . Key advantages stem from the living nature of the polymerization, enabling narrow molecular weight distributions with polydispersity indices (PDI) often below 1.1, precise control over (e.g., isotactic-rich under specific initiator conditions), and the synthesis of complex architectures like star or graft copolymers. For instance, living anionic polymerization of styrene can yield with molecular weights exceeding 10^5 g/mol in seconds at , demonstrating rapid kinetics and high efficiency. However, practical limitations restrict its scope, including extreme sensitivity to impurities such as and CO2, which rapidly quench active carbanions and terminate chains. Additionally, the high cost of organometallic initiators like alkyllithiums and the necessity for rigorously conditions increase operational expenses, confining widespread use to high-value products rather than bulk commodities.

Historical Background

Pioneering Studies

The pioneering studies in anionic addition polymerization trace back to the early , with Wilhelm Schlenk and Karl Ziegler's foundational experiments in 1910 demonstrating the polymerization of dienes using alkali metals such as sodium, which produced viscous materials indicative of chain growth via carbanionic intermediates. Their work highlighted the role of organoalkali compounds in initiating addition reactions, setting the stage for mechanistic insights into vinyl monomer polymerization. In the 1930s and 1940s, Ziegler advanced these investigations by examining the reaction of alkali metals with dienes like , yielding through sequential monomer addition to active anionic sites, though yields were limited by heterogeneous conditions and undefined chain ends. Concurrently, Schlenk's synthesis of organolithium compounds in the and provided key initiators, with Ziegler's proposal elucidating the anionic mechanism involving metal-diene addition without immediate termination. A notable industrial contribution came in the 1950s when Phillips Petroleum patented the use of alkyllithium initiators for , enabling the production of synthetic rubbers with improved elasticity for wartime applications. By the , electron transfer mechanisms gained attention, as seen in initiations using sodium dissolved in liquid , which generated solvated electrons to form radical anions that propagated anionic chains for monomers like , albeit with challenges in solvent compatibility. Early researchers, including , often assumed termination occurred spontaneously or via unavoidable impurities like or oxygen, leading to broad molecular weight distributions and inconsistent properties in these impure systems. This period also revealed side reactions, such as proton abstraction from solvents like or ammonia, which quenched active centers and contributed to the observed variability in early studies.

Key Milestones in Living Polymerization

The breakthrough in living anionic polymerization occurred in 1956 when Michael Szwarc performed an experiment involving the polymerization of styrene initiated by sodium naphthalenide in (THF) at low temperature. Unlike conventional polymerizations, Szwarc observed that the active chain ends persisted without termination or , maintaining a constant concentration of growing polymer radicals and resulting in molecular weights that increased linearly with monomer conversion. This phenomenon, which he termed "living polymerization," marked the first demonstration of a controlled chain growth process devoid of irreversible deactivation. A key observation from Szwarc's work was the invariance of the active center concentration, denoted as [P∗][P^*], throughout the reaction: [P∗]=constant[P^*] = \text{constant} This constancy ensures that all chains initiate simultaneously and grow at the same rate, yielding a of chain lengths with polydispersity indices (PDI) approaching 1.0, typically PDI < 1.05 for well-controlled systems. Such narrow distributions revolutionized polymer synthesis by shifting from empirical trial-and-error methods to designed architectures with predictable properties. In the 1960s, significant progress was made with the adoption of alkyllithium compounds as initiators in hydrocarbon solvents, enabling living polymerization in non-coordinating media. Pioneering kinetic studies by Worsfold and Bywater on n-butyllithium-initiated styrene polymerization in benzene confirmed the living character through linear molecular weight evolution and absence of termination, broadening applicability to industrial-scale processes. The 1970s and 1980s saw advancements in polymerizing polar monomers like acrylates, where ligands played a crucial role in stabilizing enolate active centers and preventing side reactions. For instance, the addition of zinc bromide (ZnBr₂) to alkyllithium-initiated systems facilitated the synthesis of syndiotactic poly(methyl methacrylate) (PMMA) with controlled tacticity and narrow PDI, as explored in mechanistic studies of Lewis acid coordination effects. These ligand strategies extended living polymerization to challenging monomers, enabling stereoregular polymers for advanced materials. In the 1980s, Roderic P. Quirk developed functionalized alkyllithium initiators, incorporating groups like protected hydroxyl or amino functionalities, which allowed direct synthesis of end-functionalized polymers without post-polymerization modification. This innovation preserved the living nature while introducing reactive sites for further coupling or grafting, enhancing versatility in block copolymer and telechelic polymer preparation. The 1990s brought refinements in diene polymerization, particularly for synthesizing star polymers via living anionic routes. Techniques involving core-first approaches with divinylbenzene crosslinking of polybutadiene or polyisoprene living arms yielded well-defined multi-arm stars with PDI < 1.1, demonstrating precise control over branching and demonstrating applications in nanostructured elastomers. These developments underscored the transition to sophisticated macromolecular designs, fundamentally impacting fields like nanotechnology and biomaterials.

Monomer Characteristics

Suitable Vinyl Monomers

Vinyl monomers suitable for anionic addition polymerization possess substituents on the double bond that stabilize the carbanion formed at the β-carbon during propagation, such as electron-donating alkyl groups or conjugating phenyl groups, while avoiding acidic protons that could lead to premature termination by protonation of the initiator or active chain ends. These non-polar vinyl monomers are compatible with hydrocarbon solvents and alkyllithium initiators, enabling living polymerization with narrow molecular weight distributions. Prominent examples include styrene (C₆H₅CH=CH₂), 1,3-butadiene (CH₂=CH-CH=CH₂), and isoprene (CH₂=C(CH₃)-CH=CH₂). Anionic polymerization of styrene produces atactic polystyrene, a rigid amorphous material with a glass transition temperature of approximately 100°C. In contrast, 1,3-butadiene yields predominantly 1,4-polybutadiene with a mixture of cis and trans 1,4-units (typically 40-50% cis), a highly elastic rubber with excellent resilience and low glass transition temperature around -100°C, widely used in tire applications. Isoprene similarly forms cis-1,4-polyisoprene, mimicking natural rubber properties. The reactivity of these monomers follows the order dienes > styrene > α-methylstyrene, with dienes exhibiting particularly high propagation rates due to effective carbanion stabilization via conjugation across the diene system. Under anionic conditions, styrene polymerizes much faster than in free-radical methods, often by orders of magnitude, owing to the higher propagation rate constants and absence of termination steps. For instance, in tetrahydrofuran at low temperatures, the propagation rate constant for styryl anions exceeds that of radical propagation by factors up to 10³–10⁴. Steric effects from bulky substituents can influence ; for example, in styrene derivatives with large groups like adamantyl, certain initiators promote an isotactic bias by restricting chain-end conformations during addition. This allows tailored microstructures beyond the typical atactic outcomes in standard styrene .

Cyclic and Polar Monomers

Polar monomers, such as acrylates and methacrylates exemplified by (\ceCH2=C(CH3)CO2CH3\ce{CH2=C(CH3)CO2CH3}), present significant challenges in anionic addition due to their electron-withdrawing ester groups, which facilitate side reactions including through nucleophilic attack on the carbonyl and intramolecular that generates cyclic ketoesters. These reactions lead to broad molecular weight distributions, with polydispersity indices (PDI) exceeding 2 in the absence of stabilizing ligands, as multiple active species and termination events disrupt chain length control. To address these issues, coordination agents like (LiCl) are added to form mixed aggregates with the propagating chain ends, suppressing , improving initiator efficiency, and enabling living with narrow PDI values around 1.1. For instance, the of in at -78°C using sec-butyllithium initiator without LiCl yields PDI of 1.42, whereas addition of LiCl reduces it to 1.10 while favoring syndiotactic with up to 79% syndiotactic triads. A notable example is the synthesis of highly syndiotactic poly(methyl methacrylate) (PMMA) using sec-butyllithium initiator with LiCl in tetrahydrofuran at -78°C, achieving greater than 90% syndiotactic triads and PDI below 1.1, enhancing the material's thermal and mechanical properties compared to atactic PMMA. Similarly, 2-vinylpyridine undergoes efficient anionic polymerization in tetrahydrofuran at -78°C using n-butyllithium or other alkyllithium initiators, producing poly(2-vinylpyridine) with narrow molecular weight distributions (PDI ≈ 1.1-1.2) and high initiator efficiency, owing to the monomer's moderate polarity that minimizes side reactions. These adaptations allow for precise control over tacticity and end-group functionality in polar monomer systems. Cyclic monomers, particularly cyclosiloxanes like hexamethylcyclotrisiloxane (\ce(CH3)2SiO\ce{(CH3)2SiO})3_3 (D3_3), are polymerized anionically in non-polar solvents such as using initiators like silanolates or cryptated counterions, proceeding via ring-opening to yield well-defined polydimethylsiloxanes with low polydispersity. The kinetics follow dependence on concentration, with propagation rate constants around 1-1.3 L·mol−1^{-1}·s−1^{-1} at -20°C to 20°C, though equilibrium limitations require careful to favor linear chains over cyclic oligomers. Certain epoxides, such as , also participate in anionic addition polymerization under specific conditions, bordering on ring-opening mechanisms, to produce polyethers, but these demand highly pure systems to avoid transfer reactions. The polymerization of polar and cyclic monomers via anionic methods uniquely enables the synthesis of functionalized polymers, such as pH-responsive polyacrylates like poly(), where ester hydrolysis post-polymerization imparts anionic carboxylic groups that swell and release payloads in basic environments due to and chain expansion.

Reaction Conditions

Solvents and Purity Requirements

In anionic addition polymerization, aprotic solvents are essential to maintain the stability of the carbanionic active centers, with selection depending on the monomer polarity. For non-polar monomers such as styrene and conjugated dienes, non-polar solvents like and are preferred, as they promote the formation of tight ion pairs that facilitate control over polymer microstructure, particularly favoring 1,4-addition in dienes. In contrast, polar aprotic solvents such as (THF) and (DMSO) are used for polar monomers like methacrylates, where their ability to solvate cations enhances ion pair dissociation and supports polymerization of electron-deficient monomers. The choice of solvent significantly influences kinetics through its effect on ion pair association. In non-polar hydrocarbons, the propagating carbanions often associate into dimers or higher aggregates, which reduces reactivity and slows , with rate constants (k_p) typically on the order of 10^2 L/mol·s for styrene using counterions. Polar solvents like THF mitigate this by coordinating with the , promoting dissociation into more reactive loose ion pairs or free ions, thereby accelerating the rate by 10-100 times; for example, k_p for styrene in THF reaches approximately 10^4 L/mol·s under similar conditions. Stringent purity requirements are critical in anionic polymerization, as even trace protic impurities can irreversibly terminate chains by proton transfer, disrupting the living character of the process. The quenching reaction proceeds rapidly according to the rate expression Rate=kq[P∗][H2O]\text{Rate} = k_q [P^*][H_2O] where k_q greatly exceeds the propagation rate constant k_p, resulting in predominantly dead polymer chains. Protic contaminants such as water and alcohols are removed from solvents by distillation over sodium-potassium alloy (Na/K), which effectively scavenges these impurities. Oxygen is rigorously excluded through the use of inert atmospheres like argon or nitrogen, and specialized break-seal techniques enable reagent transfer in vacuum-sealed ampoules to prevent aerial contamination. Monomers are similarly purified by passing them through activated alumina columns to eliminate inhibitors, peroxides, and residual protic species, ensuring levels below 10 ppm for successful living polymerization.

Temperature and Additive Effects

Temperature exerts a significant influence on the rate, , and stability of anionic addition polymerization. The rate constant kpk_p follows the : kp=Aexp⁡(−EaRT)k_p = A \exp\left(-\frac{E_a}{RT}\right) where EaE_a typically ranges from 5 to 10 kcal/mol for styrene polymerization, reflecting the relatively low energy barrier for addition to the . In polar solvents, EaE_a is lower compared to non-polar media due to enhanced dissociation of pairs into more reactive free anions, which accelerates while maintaining control. For styrene, polymerization proceeds effectively at , allowing efficient chain growth without excessive side reactions. In contrast, acrylates require low temperatures, such as -78°C, to suppress elimination and side reactions that degrade chain-end fidelity and broaden molecular weight distributions. Elevated temperatures, however, promote to , which limits molecular weight and disrupts living character by introducing uncontrolled termination pathways. Additives play a crucial role in modulating ion-pair dynamics, thereby affecting polymerization kinetics and polymer microstructure. Crown ethers and cryptands coordinate alkali metal counterions, promoting dissociation of tight ion pairs into solvent-separated or free ions, which increases the propagation rate by up to several orders of magnitude in non-polar solvents. For example, in the anionic polymerization of propylene oxide, 18-crown-6 enhances the rate by reducing aggregation and favoring more nucleophilic active centers. Lewis acids, such as triethylaluminum (AlEt3), coordinate with the propagating anion to influence stereochemistry in diene polymerizations; when combined with alkyllithium initiators, they favor syndiotactic placement by stabilizing transition states leading to 1,4-addition. Specific additives enable precise control over polydispersity and in challenging systems. In the anionic polymerization of (MMA), (LiCl) reduces ion-pair association, suppressing aggregation and yielding polymers with narrow polydispersity indices (PDI < 1.1) while enhancing syndiotactic content. Similarly, at -20°C in toluene using tert-butyllithium (t-BuLi) as initiator, polystyrene exhibits increased syndiotactic sequences due to the non-polar environment constraining rotational freedom during propagation. These effects underscore the interplay between temperature, additives, and solvent in achieving targeted polymer architectures without delving into broader mechanistic derivations.

Polymerization Mechanism

Initiation Processes

Anionic addition polymerization is initiated through the generation of active carbanion chain ends using various anionic initiators, primarily via electron transfer or nucleophilic addition mechanisms. These processes ensure the formation of living polymer chains under controlled conditions, with the choice of initiator depending on the monomer's electron deficiency and solvent properties. One primary initiation method involves electron transfer from redox initiators, such as sodium naphthalide, to the . Sodium naphthalide is formed by the reaction of sodium metal with naphthalene, yielding the sodium naphthalenide :
\ceNa+C10H8−>Na+[C10H8]−\ce{Na + C10H8 -> Na+ [C10H8]-}
This species then transfers an electron to the (M), forming a (M⁻•), which rapidly dimerizes to produce a dianion capable of :
\ce[C10H8]−+M−>M−•\ce{[C10H8]- + M -> M^{-•}}
\ce2M−•−>M−M2−\ce{2 M^{-•} -> M-M^{2-}}
This two-electron transfer process was first demonstrated by Szwarc in 1956 for , and polymerizations, enabling the synthesis of polymers with narrow molecular weight distributions. Nucleophilic addition represents another key initiation pathway, particularly with organolithium compounds like (n-BuLi). The alkyl anion adds directly to the monomer's double bond, generating a carbanionic chain end:
\ceCH3(CH2)3Li+CH2=CHPh−>CH3(CH2)3−CH2−CHPh−Li+\ce{CH3(CH2)3Li + CH2=CHPh -> CH3(CH2)3-CH2-CHPh-Li+}
This reaction is highly efficient for non-polar vinyl monomers such as styrene. For certain polar or cyclic monomers, stronger anionic initiators like alkoxides or are employed to enhance nucleophilicity and overcome steric or electronic barriers. Potassium alkoxides, for instance, initiate the of epoxides, while potassium diphenylphosphide (KPPh₂) serves as a highly nucleophilic initiator for specialized systems, forming phosphide anions that attack the monomer effectively. However, initiation efficiency is lower for polar monomers like without coordinating ligands, due to side reactions and aggregation of ion pairs. The kinetics of initiation generally follow the rate equation Ri=ki[I][M]R_i = k_i [I][M], where kik_i is the initiation rate constant, [I] is the initiator concentration, and [M] is the monomer concentration. This step is typically fast, with ki>kpk_i > k_p (propagation rate constant), ensuring rapid consumption of initiator and quantitative active center formation before significant chain growth occurs. Counterion effects significantly influence initiation by modulating ion pair dissociation and reactivity. In polar solvents like tetrahydrofuran (THF), loose or solvent-separated ion pairs predominate, promoting higher reactivity due to better charge delocalization. In contrast, non-polar solvents like hexane favor tight contact ion pairs, which can reduce initiation rates through aggregation and lower nucleophilicity. These solvent-dependent associations are critical for optimizing initiator performance across monomer types.

Propagation Kinetics

In anionic addition polymerization, the propagation step proceeds via the nucleophilic attack of the carbanionic active chain end on the π-bond of the incoming molecule, resulting in the formation of a new carbon-carbon bond and relocation of the to the β-carbon of the added monomer unit. This process repeats, extending the chain length while maintaining the anionic character at the growing end. For styrene monomers, the resulting styryl exhibits significant stabilization, with the negative charge delocalized across the phenyl ring through conjugation, which influences the reactivity and selectivity of subsequent additions. The kinetics of are described by the second-order rate law: −d[\ceM]dt=kp[\ceM][\ceP∗]-\frac{d[\ce{M}]}{dt} = k_p [\ce{M}][\ce{P}^*] where [\ceM][\ce{M}] is the concentration, [\ceP∗][\ce{P}^*] is the concentration of active propagating chain ends, and kpk_p is the propagation rate constant. In living anionic systems, the absence of termination or transfer reactions ensures that [\ceP∗]=[\ceI]0[\ce{P}^*] = [\ce{I}]_0, the initial concentration of initiator, rendering the overall rate with respect to concentration and independent of chain length. Consequently, the (DP) is given by: DP=[\ceM]0[\ceI]0\text{DP} = \frac{[\ce{M}]_0}{[\ce{I}]_0} which remains constant over time in ideal living conditions, allowing precise control over molecular weight. Specific propagation rate constants vary with counterion, solvent, and ion pairing. For the polymerization of styrene in tetrahydrofuran (THF) at 25°C using lithium counterions, kpk_p for solvent-separated ion pairs is approximately 90 L mol⁻¹ s⁻¹, while values for tightly associated ion pairs in less polar solvents are significantly lower, often by orders of magnitude due to reduced nucleophilicity. The degree of ion pair dissociation plays a critical role, as free carbanions exhibit much higher reactivity (e.g., kp≈3×104k_p \approx 3 \times 10^4 L mol⁻¹ s⁻¹) compared to ion pairs, influencing the overall propagation efficiency. In the case of diene monomers like or , propagation can occur via 1,2- or 1,4-addition modes, leading to different microstructural units in the . The kinetics of these pathways differ substantially, with the rate constant for 1,2-addition typically being about an order of magnitude lower than for 1,4-addition under similar conditions, affecting the vinyl content and overall chain microstructure.

Termination and Chain Transfer

Uncontrolled Termination

In anionic addition polymerization, uncontrolled termination reactions are infrequent in ideal, purified systems due to the stability of the carbanionic chain ends, but they arise primarily from interactions with impurities. Protonation by protic contaminants, such as , rapidly deactivates the propagating anion, yielding a dead chain with a protonated terminus:
\ceP∗+H2O−>PH+OH−\ce{P^{*} + H2O -> PH + OH^{-}}
This reaction is highly efficient, with even trace levels (ppm) sufficient to quench active centers and limit molecular weight control. Similarly, reacts with the carbanion to form a stable end group, effectively terminating growth:
\ceP∗+CO2−>P−COO−\ce{P^{*} + CO2 -> P-COO^{-}}
This side reaction is particularly relevant in non-inert atmospheres and has been exploited for end-group functionalization in controlled contexts, though it disrupts living character here. Beta-hydride elimination represents another termination pathway, especially in polymer chains derived from initiators with beta-hydrogens (e.g., alkyllithium), where the carbanion abstracts a from the beta position, forming an alkene-terminated chain and a metal . This process is thermally activated and more pronounced at elevated temperatures, contributing to chain shortening and unsaturated end groups. Chain transfer reactions, while not strictly terminating individual chains, generate new active centers and broaden the molecular weight distribution without halting overall . In diene monomers like or , transfer to monomer occurs via allylic proton abstraction, creating a resonance-stabilized allylic anion that reinitiates :
\ceP∗+M−>PH+M−\ce{P^{*} + M -> PH + M^{-}}
This is common in non-polar solvents and leads to irregular microstructures. Transfer to solvent, such as alpha-proton abstraction from (THF), follows a similar mechanism:
\ceP∗+THF−>PH+[THF−H]−\ce{P^{*} + THF -> PH + [THF - H]^{-}}
The rate of transfer is given by rtr=ktr[P∗][S]r_{\text{tr}} = k_{\text{tr}} [P^{*}][S], where SS is the solvent concentration. In styrene , transfer to THF is negligible, having minimal impact even in polar media like THF. In monomers like , metalation side reactions— at the alpha position—further complicate growth by forming unreactive organometallic species. These uncontrolled processes result in polydispersity indices (PDI) exceeding 1.5 and unpredictable molecular weights, though their effects are minimized in rigorously purified systems with inert conditions.

Controlled Deactivation Methods

Controlled deactivation methods in anionic addition polymerization involve the deliberate addition of electrophilic or protic reagents to terminate living polymer chains (P*) quantitatively, preserving the chain length and enabling isolation or subsequent modifications. Proton sources, such as , are commonly employed for simple , yielding stable end-groups via the reaction P* + CH₃OH → PH + CH₃O⁻. This process proceeds rapidly under standard conditions, ensuring complete deactivation without side reactions when excess quencher is used. Similarly, with chlorotrimethylsilane (ClSiMe₃) caps the carbanionic end to form a robust Si-C bond, providing polymers with silyl-protected functionalities suitable for further transformations. Electrophilic quenching extends the range of end-group chemistries. For instance, (CO₂) reacts with the living chain end to introduce groups after , a method known as that achieves high efficiency in non-coordinating solvents. , added in a two-step process, first alkylates the to form an intermediate, which is then protonated to yield a end-group. These reactions typically provide quantitative yields exceeding 99% when employing excess quencher, reflecting the high reactivity of the living centers. The kinetics of deactivation are characterized by termination rate constants (k_term) that significantly exceed rate constants (k_p), often by orders of magnitude, ensuring rapid and selective chain stopping even in the presence of residual . This is exemplified by the complete conversion of active chains to dead polymers (PH), where the final concentration [PH] equals the initial active chain concentration [P*]₀ following . \begin{equation} [\text{PH}] = [\text{P}^*]_0 \end{equation} Such controlled methods offer key advantages, including the ability to isolate living polymers for temporary storage under inert conditions or to enable sequential additions in multi-step syntheses, thereby maintaining architectural precision.

Living Anionic Polymerization

Defining Features

Living anionic polymerization is a specialized form of characterized by the complete absence of termination and reactions, enabling the active anionic chain ends to remain intact indefinitely and allowing for reactivation upon addition of further . This process, first demonstrated with styrene using sodium naphthalenide as initiator, ensures that all polymer chains grow uniformly without irreversible deactivation. In contrast to conventional "dead" anionic polymerizations, where chains spontaneously terminate through or other side reactions, living systems maintain persistent active centers, mimicking an equilibrium state that permits sequential additions for controlled chain extension. A core defining feature is the kinetic behavior, evidenced by a linear semilogarithmic plot of ln⁡([M]0[M])\ln \left( \frac{[M]_0}{[M]} \right) versus time, reflecting first-order dependence on concentration and a constant concentration of active centers, [P*]. This uniformity arises because all chains initiate simultaneously upon addition of initiator to , ensuring synchronous growth and avoiding the gel effect (autoacceleration due to changes) seen in some conventional polymerizations. The resulting polymers exhibit exceptionally narrow molecular weight distributions, with polydispersity index (PDI) values approaching the theoretical limit of 1+1DP1 + \frac{1}{DP}, where DP is the , consistent with a of chain lengths. Demonstration of the living nature is straightforward: after complete monomer consumption, the active centers persist dormant until quenched (e.g., with ), but the system's viability is confirmed by quenching, purifying, and reactivating the chains with fresh initiator before adding new , which resumes polymerization quantitatively; alternatively, direct addition of second to the living mixture yields block copolymers without lag. Achieving these features requires stringent prerequisites, including ultra-pure , solvents, and additives to exclude protic impurities like or oxygen that could induce termination, as well as carefully selected initiator- pairs (e.g., alkyllithium with styrene or dienes) that promote rapid, quantitative without transfer.

Molecular Weight and Architecture Control

In living anionic polymerization, the molecular weight of the resulting can be precisely controlled by adjusting the initial ratio of concentration ([M]_0) to initiator concentration ([I]_0), as all chains initiate simultaneously and grow uniformly without termination or transfer. The theoretical number-average molecular weight (M_n) is given by the equation: Mn=[yield]×[M]0×MWm[I]0M_n = \frac{[\text{yield}] \times [M]_0 \times MW_m}{[I]_0} where MW_m is the molecular weight of the , and yield represents the conversion fraction (approaching 1 at high conversion). For example, a -to-initiator ratio of 1000:1 in the polymerization of styrene (MW_m = 104 g/mol) yields with M_n ≈ 100 kg/mol at quantitative conversion. This control results in polymers with very narrow polydispersity indices (PDI = M_w/M_n < 1.1), even at high conversions exceeding 99%, due to the Poisson distribution of chain lengths inherent to living systems. In some solvent systems, such as those using zinc triflate-phosphine Lewis pairs for dialkyl acrylamides, the propagating carbanions exhibit thermal stability up to 100°C, enabling polymerization under milder conditions while maintaining low PDI. Beyond linear chains, living anionic polymerization enables the synthesis of complex architectures through strategic monomer addition and linking strategies. Sequential addition of different monomers during propagation can produce gradient copolymers, where the composition varies smoothly along the chain, tuned by the relative reactivity ratios and addition rates. For branched structures like star polymers, a small amount of divinylbenzene is added to living linear chains, forming a crosslinked core with multiple arms radiating outward; this core-first approach yields well-defined stars with controlled arm number and length. Developments in the 1990s advanced these techniques to produce multi-arm stars, such as 10-arm polystyrene stars with weight-average molecular weights (M_w) up to 10^6 g/mol, achieved via divinylbenzene linking of living precursors. Recent advancements as of 2025 have expanded the scope to new functionalized monomers, including 2-isopropenylthiophene derivatives and 2-isopropenyl-2-oxazoline, enabling precise control in continuous flow systems, as well as sustainable methods like pulsed chain transfer anionic polymerization for dienes with high initiator efficiency. Additionally, end-capping reactions with electrophiles convert the living carbanionic chain ends into telechelic polymers bearing specific functional groups at both termini, further expanding architectural possibilities.

Synthetic Applications

Block Copolymer Formation

Block copolymer formation in living anionic polymerization relies on the sequential addition technique, where the first monomer is introduced to the initiator and allowed to polymerize to full conversion, forming a living polymer chain, before the second monomer is added to extend the chain. This method ensures the precise construction of well-defined di- or triblock architectures without termination or chain transfer interrupting the process. For instance, the synthesis of styrene-butadiene-styrene (SBS) triblock copolymers involves initiating with sec-butyllithium, adding styrene to form polystyrene end blocks, followed by butadiene for the polybutadiene midblock, and then additional styrene for the second end block. The mechanism exploits the persistent reactivity of the living carbanionic chain end from the first block, which directly initiates polymerization of the second monomer without crossover reactions, provided compatible solvents and conditions are used to maintain chain-end stability. This living nature allows for quantitative initiation of the second block by all chains from the first, yielding copolymers with controlled block lengths and narrow molecular weight distributions. Representative examples include ABA triblock copolymers used as thermoplastic elastomers, such as SBS, which can be hydrogenated to styrene-ethylene-butylene-styrene (SEBS) for enhanced thermal and oxidative stability while retaining elastomeric properties. Diblock copolymers, like polystyrene-block-polybutadiene (PS-b-PB), are employed in applications such as micelle formation for drug delivery due to their amphiphilic character in selective solvents. Recent advances as of 2023 include the fabrication of block copolymers via living anionic polymerization for self-assembly into photonic materials and advanced drug delivery systems, expanding applications in nanotechnology and biomedicine. In these systems, block incorporation is highly quantitative, often exceeding 98%, owing to the absence of side reactions in living conditions. The resulting copolymers exhibit microphase separation driven by the immiscibility of blocks, characterized by Flory-Huggins interaction parameters such as χ > 0.1 for PS-PB pairs, leading to ordered morphologies like lamellae or cylinders that impart unique mechanical properties. The total number-average molecular weight of the block copolymer is the sum of the individual block molecular weights: Mn=Mn,A+Mn,BM_n = M_{n,A} + M_{n,B} while the polydispersity index (PDI) remains low, typically PDI < 1.1-1.2, reflecting the controlled nature of the polymerization. This capability to form well-defined block copolymers is particularly unique to living anionic polymerization, enabling tailored architectures for thermoplastic elastomers and nanostructured materials that are challenging to achieve with conventional radical methods.

End-Group Functionalization

End-group functionalization in living anionic polymerization exploits the nucleophilic nature of the carbanionic chain end (P^-) to react with electrophilic reagents, introducing specific functional groups while maintaining chain-end reactivity for subsequent transformations. This approach contrasts with termination by preserving the polymer's structural integrity and enabling precise control over terminal functionality, which is essential for advanced material design. The general reaction scheme is: \ceP−+E−X−>P−E+X−\ce{P^- + E-X -> P-E + X^-} where E represents the desired functional moiety and X is a suitable leaving group. These reactions typically proceed with high efficiency (90-100%) owing to the strong nucleophilicity of the carbanion, often under mild conditions in aprotic solvents like THF at low temperatures. Common methods include direct reaction with electrophiles such as alkyl chloroformates to form ester-terminated polymers. For instance, the living polystyryl anion reacts quantitatively with methyl chloroformate to yield a methyl ester end group: \ceP−+Cl−COOCH3−>P−COOCH3+Cl−\ce{P^- + Cl-COOCH3 -> P-COOCH3 + Cl^-} This technique is widely used for introducing polar functionalities compatible with further coupling reactions. Similarly, reaction with carbon disulfide (CS_2) generates thiocarbonyl end groups, such as dithioformate moieties, which serve as precursors for reversible addition-fragmentation chain transfer (RAFT) agents or sulfur-containing functionalities: \ceP−+S=C=S−>P−S−C(=S)−\ce{P^- + S=C=S -> P-S-C(=S)^-} followed by protonation or alkylation to stabilize the group. These transformations are highly selective, with yields exceeding 95% when performed under inert conditions. For hydroxyl end groups, a two-step protocol is employed to avoid direct , which would terminate the chain prematurely. The living first adds to , forming an intermediate: \ceP−+CH2−CH2−O⌢−>P−CH2CH2O−\ce{P^- + \overset{\LARGE \frown}{CH2-CH2-O} -> P-CH2CH2O^-} This is then quenched with a protic acid like HCl or H_3O^+ to afford the : \ceP−CH2CH2O−+H3O+−>P−(CH2)2−OH+H2O\ce{P-CH2CH2O^- + H3O^+ -> P-(CH2)2-OH + H2O} The process achieves near-quantitative conversion (>98%), enabling the synthesis of telechelic with hydroxyl termini suitable for crosslinking into networks or formation. Additionally, vinyl-bearing electrophiles, such as p-chloromethylstyrene, allow attachment of polymerizable double bonds, producing well-defined macromonomers for graft copolymerization or star synthesis. These functionalized polymers find applications in creating telechelics for elastomeric networks, where dual end groups facilitate efficient crosslinking without compromising molecular weight control. In the 2000s, such techniques enabled the preparation of poly()-polystyrene (PEG-PS) conjugates via sequential and end-group coupling, advancing biomaterials like micellar systems with improved and stealth properties.

References

  1. https://www.sciencedirect.com/topics/chemical-engineering/anion-polymerization
  2. http://ndl.ethernet.edu.et/bitstream/123456789/77121/1/89.pdf
  3. https://www.researchgate.net/publication/278700860_Anionic_Addition_Polymerization_Fundamental
  4. https://www.sciencedirect.com/science/article/pii/S0079670007000044
  5. https://pubs.acs.org/doi/10.1021/acs.macromol.0c00371
  6. https://www.sciencedirect.com/topics/chemistry/anion-polymerization
  7. https://www.nature.com/articles/1781168a0
  8. https://www.sciencedirect.com/topics/engineering/anion-polymerization
  9. https://www.sciencedirect.com/science/article/abs/pii/S0079670002000163
  10. https://www.sciencedirect.com/topics/engineering/living-anionic-polymerization
  11. https://www.sciencedirect.com/topics/engineering/living-polymerization
  12. https://pdfs.semanticscholar.org/e9af/507af66ff692438c997c930e2ab3f72a1666.pdf
  13. https://onlinelibrary.wiley.com/doi/abs/10.1002/pol.1976.170141217
  14. https://pubs.rsc.org/en/content/articlehtml/2017/ra/c6ra25155b
  15. https://www.sciencedirect.com/science/article/pii/S0032386109003991
  16. http://www.chemie.uni-bayreuth.de/mcii/de/pub/23615/3527324925_c01.pdf
  17. https://pubs.acs.org/doi/full/10.1021/bk-1998-0696.ch002
  18. https://www.sciencedirect.com/science/article/abs/pii/S0079670007000044
  19. https://pmc.ncbi.nlm.nih.gov/articles/PMC5838519/
  20. https://link.springer.com/chapter/10.1007/BFb0050425
  21. https://pubs.acs.org/doi/10.1021/acs.macromol.7b01440
  22. https://cdnsciencepub.com/doi/10.1139/v60-254
  23. https://www.sciencedirect.com/science/article/abs/pii/S0014305716306024
  24. https://onlinelibrary.wiley.com/doi/abs/10.1002/0471238961.0114091517210918.a01.pub2
  25. https://pubs.acs.org/doi/10.1021/cr9901337
  26. https://pubs.acs.org/doi/10.1021/acspolymersau.2c00058
  27. https://pubs.acs.org/doi/10.1021/j100892a030
  28. https://www.sciencedirect.com/science/article/abs/pii/S1359836824001604
  29. https://onlinelibrary.wiley.com/doi/pdf/10.1002/%28SICI%291099-0518%2819991215%2937:%253C4467::AID-POLA1%253E3.0.CO%3B2-B
  30. https://pubs.acs.org/doi/10.1021/ma9700385
  31. https://pubs.acs.org/doi/10.1021/ma00128a005
  32. https://www.sciencedirect.com/topics/materials-science/anion-polymerization
  33. https://pmc.ncbi.nlm.nih.gov/articles/PMC6431960/
  34. https://pubs.acs.org/doi/10.1021/ja00872a012
  35. https://pubs.acs.org/doi/10.1021/acs.macromol.3c01257
  36. https://www.chemie.uni-bayreuth.de/mcii/de/top/23615/Tutorial_on_Block_Copolymers_ENB_8_07.pdf
  37. https://www.cmu.edu/maty/atrp-how/monomers/acrylates.html
  38. https://www.sciencedirect.com/science/article/pii/0032386161900192
  39. https://www.mdpi.com/2073-4360/9/10/538
  40. https://www.sciencedirect.com/science/article/abs/pii/S0032386109000305
  41. https://www.sciencedirect.com/science/article/abs/pii/001430579190028M
  42. https://repository.gatech.edu/server/api/core/bitstreams/fa8e1c1e-650a-4996-bdf9-c0a04a03c758/content
  43. https://scijournals.onlinelibrary.wiley.com/doi/10.1002/pi.2342
  44. https://onlinelibrary.wiley.com/doi/abs/10.1002/poc.610080405
  45. https://www.sciencedirect.com/science/article/pii/S0069804008702206
  46. https://www.sciencedirect.com/science/article/abs/pii/S0032386102004640
  47. https://www.sciencedirect.com/science/article/abs/pii/S0079670011000670
  48. https://pubs.acs.org/doi/10.1021/acs.macromol.9b01523
  49. https://pubs.acs.org/doi/10.1021/j100886a043
  50. https://www.sciencedirect.com/science/article/abs/pii/S0079670006000852
  51. https://nvlpubs.nist.gov/nistpubs/jres/70A/jresv70An5p421_A1b.pdf
  52. https://www.jstage.jst.go.jp/article/ejsm/4/0/4_0_23/_pdf
  53. https://www.nature.com/articles/pj199332
  54. https://www.sciencedirect.com/science/article/abs/pii/S1381514801000591
  55. https://doi.org/10.1038/1781168a0
  56. https://onlinelibrary.wiley.com/doi/full/10.1002/macp.201700217
  57. https://pmc.ncbi.nlm.nih.gov/articles/PMC10103213/
  58. https://doi.org/10.1021/acspolymersau.2c00058
  59. https://doi.org/10.1021/cr9901337
  60. https://pubmed.ncbi.nlm.nih.gov/39283320/
  61. https://pubs.acs.org/doi/10.1021/acs.macromol.4c02845
  62. https://www.sciencedirect.com/science/article/abs/pii/S001430572500299X
  63. https://onlinelibrary.wiley.com/doi/abs/10.1002/anie.202500761
  64. https://pmc.ncbi.nlm.nih.gov/articles/PMC6599772/
  65. https://pmc.ncbi.nlm.nih.gov/articles/PMC6418972/
  66. https://onlinelibrary.wiley.com/doi/full/10.1002/adom.202100519
  67. https://www.mdpi.com/2073-4360/5/3/1012
  68. https://www.sciencedirect.com/science/article/abs/pii/S0079670010001139
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