The University of New South Wales Faculty of Engineering School of Chemical Sciences and Engineering Centre for Advanced Macromolecular Design (CAMD)
An investigation into the Synthesis of Poly(co-maleic anhydride/iso-butyl vinyl ether) with RAFT polymerisation
A Thesis in Industrial Chemistry by S. C. Lea
Submitted for the degree of Masters of Science in Industrial Chemistry October 2006 Table of contents
List of symbols...... i Chapter 1. Introduction ...... 1 References...... 3
Chapter 2. Chemistry and mechanism of radical polymerisation...... 4 2.1 Free radical polymerisation ………………………………………...4 2.1.1 Initiation ...... 4 2.1.2 Propagation...... 6 2.1.3 Termination ...... 7 2.1.4 Chain transfer...... 8 2.1.4.1 Transfer agents...... 9 2.1.4.2 The transfer constant Ctr and the re-initiation constant Cri... 9 2.1.5 Number and weight average molecular weight ...... 10 2.1.6 Kinetics of FRP ...... 11 2.1.7 Kinetic chain length and degree of polymerisation ...... 14 2.1.8 Effect of the transfer agent on the degree of polymerisation.. 15 2.1.9 Molecular weight distribution...... 16 2.2 Living radical polymerisation (LRP)……………………………...18 2.3 Features of living radical polymerisation(LRP)…………………..18 2.3.1 LRP processes: Nitrogen Mediated Polymerisation (NMP)... 20 2.3.2 LRP processes: Atom Transfer Radical Polymerisation (ATRP) ………………………………………………………………………..21 2.3.3 LRP processes: Reversible Addition-Fragmentation chain Transfer (RAFT) ...... 21 2.3.3.1 Mechanism of the RAFT polymerisation...... 22 2.3.3.2 Choice of the RAFT agent...... 25 2.3.3.3 Side reactions in RAFT polymerisation ...... 27 2.3.3.4 Copolymerisation using the RAFT system ...... 28 2.3.3.4.1 Random copolymers...... 28 2.3.3.4.2Diblock and triblock copolymers...... 29 References...... 30 Chapter 3. Copolymerisation systems in radical polymerisation...... 32 3.1 Definitions………………………………………………………...32 3.2 Copolymer composition…………………………………………..33 3.2.1 The Terminal model ...... 34 3.2.2 Explicit and Implicit Penultimate Models...... 37 3.2.3 The Q-e approach to the theory of reactivity...... 39 3.3 Influence of the reaction medium…………………………………41 3.4 Alternating copolymers…………………………………………...42 3.4.1 Copolymers of vinyl ethers and maleic anhydride...... 43 3.4.1.1 Maleic anhydride (MAn)...... 44 3.4.1.2 Vinyl ethers...... 45 3.4.1.3 Co (maleic anhydride-alt-methyl vinyl ether)...... 46 3.4.1.4 The synthesis of co (maleic anhydride-alt-iso-butyl vinyl ether)……………………………………………………………….47 References……………………………………………………………...48
Chapter 4. The free radical polymerisation of iso-butyl vinyl ether and maleic anhydride...... 50 4.1 Experimental procedure...... 50 4.1.1 Purification of reagents and solvents...... 50 4.2 Polymerisation procedures ...... 51 4.2.1 Polymerisation in Schlenck tubes...... 51 4.2.2 Polymerisation in the presence of DDM as a chain transfer agent…………………………………………………………………………..51 4.2.3 In situ NIR-FTIR spectroscopy polymerisation...... 52 4.3 Polymerisation kinetics ...... 52 4.3.1 In situ FT- NIR spectroscopy ...... 52 4.3.2 1H NMR spectroscopy ...... 54 4.3.3 Gravimetric analysis ...... 55 4.4 Copolymer characterisation...... 56 4.4.1 13C NMR spectroscopy ...... 56 4.4.2 Size Exclusion Chromatography ...... 56 4.5 Results and discussion...... 58 4.5.1 FRP in dioxane as a solvent...... 58 4.5.2 FRP in MEK and Acetone as solvents...... 61 4.6 Reliability of FT-NIR spectroscopy for the evaluation of the conversion...... 66 4.7 Reliability of NMR spectroscopy for the determination of the conversion...... 70 4.8 Experiments with dodecylmercaptan (DDM) as a chain transfer agents ...... 72 4.9 Conclusions ...... 75 References...... 75
Chapter 5. Use of RAFT agents to control the radical copolymerisation of MAn and IBVE...... 76 5.1 Experimental procedure...... 76 5.1.1. Purification of reagents and solvents...... 76 5.2 RAFT agents synthesis...... 76 5.2.1. Synthesis of benzyl dithiobenzoate (BDTB) ...... 76 5.2.2. Synthesis of 3-benzyl sulfanyl thiocarbonyl sulfanyl-propionic acid (RAFT acid) ...... 76 5.2.3. Synthesis of dibenzyl trithiocarbonate (DBTTC) ...... 77 5.3 Polymerisation procedures ...... 77 5.3.1. Polymerisation in Schlenck tubes...... 77 5.3.2. In situ NIR-FTIR spectroscopy polymerisation...... 78 5.4 Polymerisation kinetics ...... 78 5.4.1. In situ FT-NIR spectroscopy ...... 78 5.4.2. 1H NMR spectroscopy ...... 78 5.4.3. Gravimetric analysis ...... 78 5.5 Copolymer characterisation...... 79 5.5.1. 13C NMR spectroscopy ...... 79 5.5.2. Size Exclusion Chromatography…………………………………79 5.6 Use of RAFT agents for the control of the molecular weight...... 79 5.6.1. 3-benzyl sulfanyl thiocarbonyl sulfanyl-propionic acid (RAFT acid) and dibenzyl-trithiocarbonate (DBTTC) as RAFT agents...... 83 5.7 BDTB as a RAFT agent ...... 89 5.7.1. RAFT polymerisation with BDTB in polar solvents...... 89 5.7.1.1 Acetone...... 89 5.7.1.2 Ethyl acetate and N, N, dimethyl acetamide...... 97 5.7.1.3 Characterisation of the two phases...... 98 5.7.2. RAFT polymerisation with BDTB in 1,4 dioxane as a solvent ………………………………………………………………………105 5.7.3. Tetrahydrofuran as a solvent ...... 117 5.8 Investigation into the colour alteration of a polymerisation mixture containing BDTB as a RAFT agent...... 125 5.9 Conclusions ...... 127 References...... 129 List of symbols and abbreviations
Ac = acetone AM = acrylamide
CM = chain transfer constant for chain transfer to the monomer
CS = chain transfer constant for chain transfer to the solvent or chain transfer agent DMAc = N, N dimethyl acetamide DEE – diethyl ether
DPn = number average degree of polymerisation
DPw = weight average degree of polymerisation d = number of chains generated by radical-radical termination Eth Ac = ethyl acetate f =initiator efficiency I = generic initiator molecule I = generic primary radical
I0 = integral of the monomer peak at initial time in NMR spectroscopy
It = integral of the monomer peak at time t in NMR spectroscopy IBVE= iso-butyl vinyl ether k = rate constant = fraction of chains termination by disproportionation mM = molecular weight of the monomer mRAFT = molecular weight of the RAFT agent M = generic monomer molecule [M] = concentration of a generic monomer molecule M = generic monomer radical
M0= molecular weight of the monomer
Mi = molecular weight of a chain of length i
M n = number average molecular weight
M w = weight average molecular weight MA = Methacrylates MAH= Maleic acid. MAn =Maleic anhydride MMA = Methyl Methacrylate P = polymer chain
i Pn = generic growing n-meric chain PDI = polydispersity index
Rp = rate of polymerisation S = chain transfer agent Sty = styrene v = reaction rate. wi = weight of a chain of length i wP = mass of the polymer wS = mass of the sample
M = weight fraction of monomer in the reaction mixture at time t=0 conversion
ii Cinzia Lea Introduction
Chapter 1. Introduction
Membranes are selective separation barriers, they occur naturally or they can be synthesised. Synthetic membranes have been produced for applications ranging from desalination, dialysis, filtration, to gas separation. Depending on the specific application, different membrane morphologies and driving forces are required for the separation process to take place.
Microfiltration (MF) and ultrafiltration (UF) membrane technology has been used extensively in drinking water treatment and also for the recycling of municipal, industrial and commercial wastewater, due to the increasing shortage of readily available fresh water. These separation processes are based on sieving; under the action of pressure the membrane pores retain the solid foreign matter contaminating the water.
While the membranes pore sizes have a large influence on the membrane retention characteristics, other parameters play an important role too, among them the fouling rate of the membrane. This parameter can be defined as the volume of product filtered up to reversible or irreversible blocking of the membrane. The membrane material, the pores structure and the surface properties all influence both the physical and chemical adsorption properties of the membrane, which in turn, influence its fouling rate. While membranes made of hydrophobic materials offer better chemical, thermal and biological stability, it has been demonstrated that hydrophilic polymers are generally less susceptible to adsorptive fouling1.
By introducing hydrophilic groups onto the surface of a hydrophobic polymeric membrane it is possible to combine the advantages offered by both hydrophobic and hydrophilic materials. Surface modification can be achieved in many ways; the coating of the material with hydrophilic surfactants2,3,4 and the graft-polymerisation of hydrophilic monomers5,6,7 are among the most popular procedures. Another method consists in blending small amounts of an additive bearing desirable functional groups with a host polymer melt or solution8,9,10,11. During polymer processing, physical phenomena like diffusion, spontaneous phase segregation and shear are likely to induce the migration of the additive to the host surface. This procedure leaves the properties of the membrane core substantially unchanged and since it can be integrated into a melt extrusion process it has the advantage of being cost effective.
1 Cinzia Lea Introduction
A previous study conducted at the University of New South Wales12 explored the possibility of introducing surface modification to a commercial membrane made out of a hydrophobic polymer, polyvinylidene fluoride (PVdF). This method consisted of adding small amounts of Gantrez® (poly (co methyl vinyl ether-alt-maleic anhydride )) to the original membrane formulation. Gantrez® contains carbonyl groups that in virtue of their polarity confer hydrophilicity to this compound. Preliminary results showed that this method had the potential to impart hydrophilic character to the host membrane.
The additive used in the present work is poly (co iso-butyl vinyl ether-alt-maleic anhydride). The difference between this copolymer and Gantrez® consists in the fact that the comonomer of maleic anhydride is in this case iso-butyl vinyl ether rather than methyl ether. Iso-butyl vinyl ether is a liquid and therefore it is easier to handle respect to its lower homologous which is a gas. We prepared poly (co iso-butyl vinyl ether-alt- maleic anhydride ) through the radical process; by using a RAFT agent we obtained a polymer with differing molecular weights and low polydispersity. The next stage consisted in blending the copolymer/additive through a PVdF polymer matrix and then study the relation between the additive molecular weight and its ability to migrate to the host surface and impart to it hydrophilic properties.
Chapter 2 commences by reviewing mechanisms, basic concepts and definitions of the free radical polymerisation, which was employed to synthesise the copolymer. It then goes on to describe the main features of living radical polymerisation and in particular of the Reversible Addition-Fragmentation chain Transfer (RAFT) radical polymerisation process. In this chapter we also discuss the ways this technique has revolutionised the free radical polymerisation process by extending its possibilities and applications.
Chapter 3 deals with the principles of the radicalic copolymerisation and reviews the various models developed with the aim of predicting the product composition. It then focuses on the properties of maleic anhydride and iso-butyl vinyl ether, their homopolymers and on some of the copolymers, which have these monomers as one of the components.
Chapter 4 reports on the procedures adopted and the experiments carried out to synthesise poly(co MAn-alt-IBVE) through the free radical process (FRP). It looks at the kinetics of this reaction and at the characteristics of the polymer produced. At the end of the chapter a set of experiments were carried out with a mercaptan as a chain
2 Cinzia Lea Introduction
transfer agent and its effect on the copolymer molecular weight and PDI has been analysed.
Chapter 5 finally explores ways of preparing the same copolymer with various molecular weights and low polydispersity (< 1.5) through the Reversible Addition- Fragmentation chain Transfer (RAFT) radical polymerisation process. We investigated the efficacy of various RAFT agents: benzyl dithiobenzoate, 3-benzyl sulfanyl thiocarbonyl sulfanyl-propionic acid (RAFT acid) and dibenzyl trithiocarbonate in providing living conditions to the alternating copolymerisation of MAn and IBVE.
This project succeeds in identifying conditions that enable to control the radical copolymerisation of the two comonomers by using RAFT agents, however, side reactions have been found to take place alongside the formation of the alternating copolymer. This affects the repeatability of the experimental results and the yield of the reaction. In the course of this study, experiments were carried out with the aim to identify sources of interference and when possible remove them.
Such emphasis on the synthesis of the copolymer/additive, allowed little time to be allocated for the development of the second part of the project, relative to the incorporation of the copolymer product into the hydrophobic matrix. Although some techniques for the surface analysis of the modified polymer were set up and some polymer blends were tested, the results obtained were not considered conclusive and therefore they have not been included in this dissertation.
References
[1] J. M. Laine, J. P. Hagstrom, M. M. Clark, J. Mallevialle; J. AWWA 80, 61 1989. [2] A. G. Fane, C. J. D. Fell; Desalination 62, 117, 1987. [3] K. J. Kim, A. G. Fane, C. J. D. Fell; Desalination 70, 229, 1988. [4] A. Maartens, P. Swart, E. P. Jacobs; J. Colloid Interface sci. 221, 137, 2000. [5] M. Ulbricht, G. Belfort; J. Membr. Sci.111,193 1996. [6] M. Yamagishi, J. Crivello, G. Belfort; J. Membr. Sci.105, 249 1995. [7] J. Pieracci, J. Crivello, G. Belfort; J. Membr. Sci.156,223 1999. [8] F. Garbassi, M. Morra, E. Occhiello, Polymer surfaces, physics to technology. New York,: Wiley 1994. [9] D. M. Brewis, D. J Briggs; Polymers, 22, 7 1981. [10] C. M. Chan; Polymer surface modification and characterisation. New York: Hanser, 1994. [11] H. Lee, L. A. Archer; Polymer, 43, 2721, 2002. [12] E. Floyd; Honors thesis, UNSW, 2001.
3 Cinzia Lea Chemistry and mechanism of radical polymerisation
Chapter 2. Chemistry and mechanism of radical polymerisation
2.1 Free radical polymerisation
Radical polymerisation is one of the most commonly used processes for the production of commercial high molecular weight polymers. This reaction proceeds through the chain reaction of radical species. A radical is a molecule fragment bearing an unpaired electron, it is generated by homolitic scission of a covalent bond; the presence of the unpaired electron confers to it a high energy state which makes it extremely reactive. A radical polymerisation starts with the Initiation reaction, during which radicals form, and ends up with their extinction in the Termination reaction. In between these two events a multitude of Propagation reactions takes place, which is responsible for the growth of the polymeric chains1.
2.1.1 Initiation
Initiation takes place when a primary radical turns a monomer molecule into a radical able to propagate and form a macromolecule. Primary radicals can be produced in many ways:
5 Through the self-initiating ability of monomers like butadiene and styrene 2;
5 Through thermal decomposition of an unstable molecule appositely added to the system, called initiator and represented in Scheme 2. by I. Commonly used initiating agents are organic or inorganic peroxides, azo and diazocompounds mono and disulphides. The molecule of 2,2’ azobis(2-isobutyronitrile) dissociates releasing
nitrogen with dissociation rate coefficient kd and rate of dissociation vI•, as shown in scheme 2.1;
5 Through photoinitiators, compounds that decompose upon irradiation with electromagnetic radiation (UV and visible light). Peroxides and azo-compounds are examples of photoinitiators that can also undergo thermal decomposition;
5 Through redox initiators in the aqueous medium.
4 Cinzia Lea Chemistry and mechanism of radical polymerisation
I 2 I
CH 3 CH3 kd CH2 H CN 3 N CH3 2 CH 3 + N2 CN CN CN
d[ I ] -2 d[ I ] vI = ==2 f kd [ I ] dt dt
Scheme 2.1. Formation of primary radicals for a generic initiator and for 2,2’ azobis(2-isobutyronitrile) with corresponding kinetic equation.
The factor f in scheme 2.1 is the initiator efficiency and it represents the fraction of primary radicals that effectively initiate macromolecular growths. The primary radicals so formed promptly react with the monomer M with rate of initiation vi and related constant ki:
ki I + M P1 CH3
CH3 CH 3 + R CH3 R CN CN
vi = ki [ M] [ I ]
Scheme 2.2. Reaction of initiation through primary radical deriving from the generic initiator, from 2,2’ azobis(2-isobutyronitrile) with corresponding kinetic equation.
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2.1.2 Propagation
Once the monomer has been activated through the initiation reaction, more rapid additions of monomer units will follow, accompanied by the simultaneous progression of the active centre onto the latest unit of the polymer chain. It is assumed that the reactivity of each chain towards the monomer is independent from the length of the n- • meric growing chain Pn ; therefore a unique value of the kinetic constant kp is assigned to the propagation events which take place with rate of propagation vp.
kp Pn + M P n+1
CH 3 CH 3
CH 3 R + R CH R CN 3 CN R
CH 3 CH 3 n-1
CH 3 R + n R CH CN 3 R CN R R v = k [ P ][ M ] p p 1
Scheme 2.3. The propagation reaction with its corresponding kinetic equation.
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2.1.3 Termination
Active growing chains can be stopped in many ways: by irreversible chain transfer reactions, by reaction with a primary radical or with other radicals present in the system as impurities. However, the most important termination mechanism is the reaction between two radical chains; this encounter can lead either to termination by
Combination or by Disproportionation, described respectively by the rate constants kt,c and kt,d. In the former case the product is an inactive chain with a number of monomer units given by the sum of the units present on each active chain. In the latter case an inactive macro-monomer and an inactive chain are formed, as a result of the removal of a hydrogen atom situated in respect to the carbon bearing the radical. Although most monomers undergo both termination processes, in some cases the nature of the monomer dictates which process is the most favoured one. In the case of Methyl Methacrylate, for instance, the steric impedance caused by the presence of the methyl group in the position causes the disproportionation reaction to prevail1.
Termination by Combination:
kt,c Pm + Pn Pm+n CH CH3 CH3 3 H3C
+
O OCH3 O O OCH3 O OCH 3 OCH3 Termination by Disproportionation:
kt,d Pm + Pn Pm + Pn
CH 3 CH 2 H 3C H 3C
+ +
O OCH3 O OCH O OCH 3 3 O OCH3
Scheme 2.4. The termination reaction for MMA as the monomer; the combination and the disproportionation mechanism.
The overall kinetic equation is the following :
2 vt = 2 kt [ P ] and the overall rate constant of termination kt , is equal to the sum of kt,c and kt,d.
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2.1.4 Chain transfer
As previously mentioned, polymeric radicals can also terminate by reacting with molecules called Transfer Agents. Species present in the system such as impurities, the solvent, the monomer, or a substance added in small amounts in order to regulate the molecular weight can behave like transfer agents. Scheme 2. illustrates the reaction of the polymeric radicals with the transfer agent AB; in the AB molecule A may represent an atom of hydrogen, an atom of halogen or a group of atoms. This reaction is characterised by two steps: Step 1 is the transfer reaction, distinguished by rate constant ktr and Step 2 is the re-initiation reaction with rate constant kri. During Step 1 the polymeric radicals transfer their active centre to the transfer agent, generating an inactive chain and a new radical. Depending then upon its stability, the new radical can react with monomer molecules and therefore initiate a new chain, as illustrated in Step 2. As a result, the transfer reaction shortens the average life of the active polymeric chains, while keeping the kinetic chain uninterrupted. The polymer generated has a significantly lower molecular weight, as it will be discussed in the kinetics section.
Step 1. Transfer:
ktr Pn + A BAPn + B
vtr = ktr [ P ] [ AB ] Step 2. Re-initiation:
kri B + M P1
vri = kri [ M ] [B ]
Scheme 2.5. The mechanism of chain transfer.
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2.1.4.1 Transfer agents
During the transfer reaction, the extraction of the A-part of the chain transfer agent takes place in conjunction with the production of a B radical. Thermodynamic considerations suggest that elements contributing towards the stability of the B radicals increase the likelihood of a substance to act as a transfer agent. As a consequence, the ease of removal of the A group will increase, for instance, at increasing number of substituents on the aliphatic carbon atom it is bonded to; this is in virtue of the formation of radicals characterised by increased stability due to resonance. However, the higher the stability of the radical B formed, the less likely it is to react with monomer molecules and therefore re-initiate the polymerisation reaction, this can lead to Retardation or to Degenerative Transfer; as discussed below. An increase of the operational temperature usually favours the transfer reaction over the propagation reaction, since the difference between the activation energy of the transfer process and the one of the propagation process is positive (Etr-Ep>0).
2.1.4.2 The transfer constant Ctr and the re-initiation constant Cri
The transfer and the re-initiation step compete for the consumption of monomer with the propagation reaction, the overall effect of the transfer agent on the polymerisation can be expressed through Ctr = ktr/kp and Cri= kri/kp, respectively the transfer and the re- initiation constants. The transfer constant is a measure of the effectiveness of the transfer agent: the higher the value of Ctr the lower the amount of transfer agent required for obtaining a targeted molecular weight3,4. The re-initiation constant is a measure of the reactivity of the radical B with the monomer; if Cri is low, the radical is very stable and the re-initiation reaction may not take place leading to the extinction of the polymerisation reaction. In this case the transfer agent behaves like an Inhibitor. When the re-initiation reaction is very slow with respect to the transfer reaction the substance
AB is defined as a Retardant. As a result, the concentration of B will increase and the termination reactions of these radicals with themselves or with other radicals present in the system will become predominant. This phenomenon is denominated Degenerative Transfer; it is characterised by a decrease in the amount of polymeric radicals in the system, which ultimately leads to a decrease in the polymerisation rate. In the ideal chain transfer process the radical B has a reactivity which is comparable to that of the
9 Cinzia Lea Chemistry and mechanism of radical polymerisation
polymeric radical; in such conditions their concentration will not be affected significantly and therefore the rate of polymerisation will not vary appreciably1.
2.1.5 Number and weight average molecular weight
So far we have seen how, in radical polymerisation, the occurrence of certain reactions is influenced by the operating conditions adopted. Growing radicals, furthermore, behave individually and undertake a sequence of events, which can differ sensibly from one another. In this scenario it is predictable that each chain is characterised by a distribution of differing number of structural units and therefore differing chain length, degree of polymerisation and molecular weight. For this reason average values of such parameters are adopted to characterise the product. The number average molecular weight M n is the total weight of the sample divided by the number of molecules in the sample. The weight average molecular weight M w is defined as the sum of the weights of the chains with a certain molecular weight multiplied by their molecular weight and divided by the total weight of the sample1:
8 8 niMi Wi i=1 i=1 M = = (2.1) n 8 8 ni ni i=1 i=1 8 8 2 wiMi niMi i=1 i=1 M = = (2.2) w 8 8 wi niMi i=1 i=1
ni is the number of chains of length i, wi is the weight of chains of length i, Mi is the molecular weight of chains of length i.
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2.1.6 Kinetics of FRP
The development of a global kinetic scheme is essential for understanding the association between process parameters (temperature, components concentration, time) and polymer characteristics (molecular weight, molecular weight distribution, polydispersity, conversion). This enables to set up experimental conditions that favour the synthesis of a polymer with the desired properties5. Ideally a comprehensive scheme should take into consideration the contributions given by each reaction to the overall process, however, depending on the experimental conditions adopted, some events are less likely to impact on the final properties of the polymer and they can be overlooked. This approach leads to the development of a simplified comprehensive kinetic model called the Classical Scheme which is built on the assumptions shown below and on the kinetics associated to each reaction step (Scheme 2.)1,5:
Assumptions: (a) Reaction steps compose the overall polymerisation process; (a) Each step represents an irreversible reaction; (b) Reactions involving the transfer and the termination between growing macroradicals and primary radicals are negligible; (c) Intramolecular transfer and depropagation are negligible; (d) The disappearance of monomer caused by the initiation reaction is negligible
respect to the amount consumed in the propagation reaction (vp » vi); (e) All macroradicals display equal reactivity, regardless of their length; (f) At low conversion values, when diffusion phenomena can be considered negligible, the propagation and the termination kinetic constants of the growing
radicals kp and kt are independent from their chain length and from the value of the conversion; (g) The rate of disappearance of radicals is equal to their rate of formation (Steady
state assumption) and ki » kd.
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Initiation:
kd I 2 I d[ I ] -2 d[ I ] v I = ==2 kd [ I ] dt dt
ki I + M P 1
vi = ki [ M] [ I ] Propagation:
kp Pn + M Pn+1 v = k [ P ][ M ] p p 1 Termination:
kt,d Pm + Pn Pm + Pn
Pm+n kt,c 2 vt = 2 kt [ P ] Transfer:
ktr Pn + A BPn A + B
vtr = ktr [ R ] [ AB ]
kri B + M R1
vri = kri [ M ] [B ]
Scheme 2.6. A summary of the reactions characterising FRP.
The rate of polymerisation, vp, corresponds to the rate of consumption of the monomer. This is given by the sum between the rate of initiation and the rate of propagation, however, based on assumption (e), vp » vi and therefore:
dM Rp= - = vp= kp[ P ][ M ] (2.3) dt
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From the radicals mass balance equation and based on the steady state assumption: d[ P ] = v - v = k [ I ][ M] - 2 k [ P ]2 = 0 (2.4) dt i t i t
d[ I ] = vd - vi = vd - ki[ I ][M] = 0 (2.5) dt
When we combine the two equations and substitute the kinetic equation of the thermal initiation process, vd=2fkd[I], we obtain:
dM kp 1/2 1/2 Rp= - = 1/2 (2fkd) [ I2 ] [ M ] (2.6) dt kt
When we substitute for the fractional conversion to polymer, :
[M]0-[M] = [M]0 and considering that the volume contraction is negligible, equation (2.6) becomes: k d p 1/2 1/2 Rp= = 1/2 (2fkd) [ I2 ] [ M ]0(1- ) (2.7) dt kt This equation is able to describe effectively the rate of polymerisation for high efficiency initiators and at low conversions. It predicts that the rate of polymerisation is directly proportional to the concentration of the monomer and to the square root of the concentration of the initiator. It also shows that the rate of polymerisation is inversely proportional to the value of the conversion.
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2.1.7 Kinetic chain length and degree of polymerisation
The simple kinetic scheme obtained in the previous paragraph allows to deduce the kinetic chain length , defined as the average number of monomer molecules which has added at each initiating event. At low values of the conversion, when the concentration of the monomer and the initiator can be considered to be constant and in the absence of transfer events:
k [ M ] p vp/vi = 1/2 (2.8) kt 1/2 (2fkd[ I2 ])
This equation predicts that the chain length is directly proportional to the concentration of monomer and inversely proportional to the square root of the concentration of the initiator.
The degree of polymerisation D p is linked to the chain length; it expresses the average number of molecules contained in each polymer chain. At low values of conversion and it is given by:
1/2 k k t [ M ] D = v /v = p (2.9) p p t (k +(1/2k ) (2fk [ I ])1/2 t,d t,a d 2
It can be noted that the two parameters coincide when the termination events are due to disproportionation. In this case, in fact, the rate at which the macroradicals disappear equals the rate at which they form. When termination is caused by combination, the formation of a dead polymeric chain happens at the expense of two macroradicals, thus the value of xn corresponds to half the value of .
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2.1.8 Effect of the transfer agent on the degree of polymerisation
As discussed in 2.1.4, the presence of a transfer agents in the polymerisation medium does not cause a change in the radical concentration so long as kri»ktr,. It will impact, however, on the value of the molecular weight, since transfer reactions shorten the life of the chains, as illustrated in the following scheme:
ktr Pn + A BPn A + B
vtr = ktr [ P ] [ AB ]
kri B + M P1
vri = kri [ M ] [B ]
The Mayo equation (2.10) provides a means for the evaluation of the molecular weights in the presence of the transfer agent. The equation expresses the degree of
polymerisation DPn as a function of the rates of propagation and termination:
1 (1+ kt [ P ] [ S ] = + CM + CS (2.10) k [ M ] [M] DPn p
represents the fraction of termination by disproportionation, CM the chain transfer constant for chain transfer to monomer ( ktr,M/kp), CS the chain transfer constant for chain transfer to the solvent or to a chain transfer agent ( ktr,S/kp), and [S] the concentration of chain transfer agent. This equation is often used for the measurement of CS for a chain transfer agent; for high values of CS, it is possible to overlook the other terms and calculate the degree of polymerisation as a linear function of [S]/[M].
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2.1.9 Molecular weight distribution
As already discussed in 2.1.5 the polymer generated with the FRP process is characterised by a distribution of molecular weights. In order to calculate this parameter we first define the r-moment of the distribution of the degree of polymerisation Qr: 8 Q = ir n (2.11) r i=1 i
ni is the fraction of chains containing n monomeric units. The number and weight
DP DP average degree of polymerisation n and w are given by: 8 i ni i=1 Q1 ( 2.12 ) DPn = 8 = Q0 ni i=1
8 2 i ni i=1 Q2 ( 2.13 ) DPw = 8 = Q1 i ni i=1 where Q0=1. We now introduce a probability factor representing the probability of a radical to propagate rather than to terminate:
vp = ( 2.14 ) vp + vt + vtr
Here vt and vtr represent respectively the sums of all the termination and of all the transfer events. is independent of the chain length and is a constant for the steady state assumption and at low conversions ( this latter condition assures that the values of the concentrations keep constant). If we assume that all the termination events can be ascribed to disproportionation reactions and that transfer reactions are due to one agent only, then (1-) represents the probability of a chain to terminate. The numerical fraction of chains with a number i of monomer units is represented by the numerical distribution function ni:
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(i ) ni = ( ) ( 2.15 ) While the weight distribution function is given by:
(i ) 2 wi = ( ) ( 2.16 )
By replacement of equation (2.15) in equations (2.12) and (2.13) we obtain:
1 DP = ( 2.17 ) n 1
1+ DP = ( 2.18 ) w 1
DPw PDI = = 1+ ( 2.19 ) DPn Equation 2.15 shows how the probability of formation of chains with an i-number of monomer units decreases for increasing values of i, leading to the numerical predominance of the short chains. From equation 1.16 it can be seen, instead, that the contribution of the short chains to the weight distribution function is not relevant. As a consequence, for long chains (vp»vt, vtr) equation 2.14 shows that tends to 1; the value of the polydispersity index PDI, therefore tends to 2. PDI provides an indication of how homogeneous the length of the chains is in the system.
By applying the same procedure to the case of a chain with a chain length P formed exclusively by combination of two chains of length m and n and introducing the condition that m+n=P, the following equation for PDI is obtained:
DPw PDI = = 1 + ( 2.20 ) 2 DPn
This equation shows that in the case of termination generated solely by combination, for long chains, the polydispersity index tends to 1.5, thus narrower distributions are achieved respect to the previous case in which termination was caused solely by disproportionation. This is a consequence of the statistical coupling of 2 chains with different lengths. In the more common case of both combination and disproportionation
17 Cinzia Lea Chemistry and mechanism of radical polymerisation
taking place it can be demonstrated that the value of the PDI for long chains varies between 1.5 and 2. It can also be demonstrated that, when a chain transfer agent is added to the system, the polydispersity index does not affect the distribution in the case of termination by disproportionation, however this parameter increases in the case of combination.
2.2 Living radical polymerisation (LRP)
Introduction
Living polymerisation has attracted remarkable interest in polymer science and engineering in recent years. Szwarc6 first introduced the term living to describe the behaviour of the anionic polymerisation of Styrene and Butadiene. He noticed that the mentioned systems displayed the ability to resume the polymerisation with the same rate when a new batch of monomer was added, furthermore the number average molecular weight M n increased linearly with conversion. The first phenomenon indicates that the number of active chains keeps constant, the second one is symptomatic of the absence of chain transfer reactions. He concluded that, in such processes, reactions leading to chain- breakage are absent, eg no termination and transfer events take place. It was demonstrated that in such systems free ions coexist with inactive aggregated ions and the two species undertake rapid interchange and the theoretically predicted MW and MWD are achieved.
2.3 Features of living radical polymerisation(LRP)
Radical polymerisation is characterised by the fact that active chains are continuously generated, they propagate for 5-10 s and then undergo termination by radical-radical reaction. In ideal living processes all chains form at the same time at the beginning of the polymerisation, they propagate at the same rate and do not undergo termination. This is obtained by introducing into the system specific reagents, which are able to temporarily suppress the reactivity of the growing radicals in the early stages of the polymerisation and therefore counteract all processes leading to irreversible chain termination7. Such reagents, also called mediators, reversibly deactivate the growing chains through a reversible deactivation (termination) in Nitrogen Mediated Polymerisation process (NMP) and Atom Transfer Radical Polymerisation (ATRP) and through reversible (degenerative) chain transfer reaction in Reversible Addition-
18 Cinzia Lea Chemistry and mechanism of radical polymerisation
Fragmentation Transfer (RAFT) 8. The deactivated (dormant) and the active centres rapidly interchange; ensuring that active centres which formed at the same time grow in turn, therefore forming chains of similar length. At any given time in LRP the concentration of the dormant species is conveniently dominant over the concentration of radicals, this condition ensures that termination reactions are suppressed.
kda Pn +X (Y) P n X + (Y) ka +M
k p
Scheme 2.7. Activation and deactivation process in LRP.
X-(Y) deactivates the active growing species R with a rate constant of deactivation kda.
The process is reversible and R X can regain its status of active centre by reacting with Y or by decomposing under the action of radiation. It will then be able to propagate with a constant of propagation kp. In line with what has been discussed so far living radical polymerisation denotes a process in which:
Active chain ends are retained;
Chain growth starts at the beginning of the polymerisation and continues until all the monomer is consumed;
The polymer produced has a molecular weight which increases linearly with conversion. Ideally, the number average molecular weight is given by the ratio between the concentration of converted monomer over the initial concentration of mediator I: [M]0 t M n = mM (2.21) [I]0 Negative deviations from this theoretical value may indicate that transfer reactions take place, positive deviations may be characteristic of inefficient initiation or chain coupling.
Poisson distribution closely describes the polydispersity, provided that the initiation process is instantaneous9 and that the exchange between dormant and active species is slow:
19 Cinzia Lea Chemistry and mechanism of radical polymerisation
DPw/DPn 1+1/DPn (2.22)
According to this equation PDI tends to 1 with increasing conversion. An opposite trend is observed when chain transfer reactions become dominant.
The plot of ln[M]0/[M] vs time can be used to check on the reliability of the process. For a process which is first order with respect to the monomer concentration the plot is expected to be linear. Positive deviations may indicate slow initiation, negative deviations may indicate termination or deactivation of the catalyst.
Nitroxide Mediated Polymerisation (NMP), Atom Transfer Radical Polymerisation (ATRP) and Reversible Addition-Fragmentation chain Transfer (RAFT) are considered to be the most effective living radical polymerisation techniques available to date.
2.3.1 LRP processes: Nitrogen Mediated Polymerisation (NMP)
In the Nitrogen Mediated Polymerisation process (NMP) the species X-Y in Scheme 2 is an alkoxyamine derivative (an alkylated nytroxide) which decomposes on heating to generate an initiating radical and a capping nitroxide radical. The nitroxide radical mediates the living radical polymerisation. By nature, mediating radicals do not react with one another, are unable to initiate the polymerisation and do not undergo termination by disproportionation with growing radicals; they are also called persistent radicals. The best examples of these stable nitroxide mediators are: TEMPO (2,2,6,6 tetramethyl piperidinyl-1-oxy) derivatives (1), the family of arenes (2) and phosphonate derivatives (3). TEMPO and its derivatives were the first compounds developed as mediators for radical polymerisation; today they are mainly used for the living polymerisation of styrene derivatives10. The last two classes of alkylamines have been demonstrated to be very versatile, being able to control the polymerisation of acrylates, acrylamides, 1-3 dienes and acrylonitrile derived monomers11. The process is compatible with waterborne systems, however it has the disadvantage of requiring high operating temperature, making use of relatively expensive mediating agents and being sensitive to the presence of oxygen.
20 Cinzia Lea Chemistry and mechanism of radical polymerisation
O N O N
O N P OEt O OEt
(1) (2) (3)
2.3.2 LRP processes: Atom Transfer Radical Polymerisation (ATRP)
The name atom transfer radical polymerisation refers to the step that is critical for the establishment of living conditions in this technique. The deactivating species/persistent n+1 radical is represented by a transition metal complex with a suitable ligand Mt –Y / ligand. This catalyst reacts with a growing radical, undergoes a one electron reduction and generates a dormant species by transfer of a pseudo halogen. The presence of an initiator with a transferable pseudo halogen is also required. The success of this technique can be ascribed to the constant research into catalyst formulations. Different transition metals (predominantly from group VI and VIII-XI) have been combined with various kinds of ligands (mono or multi-dentate) in order to suit the monomer of interest. A definite advantage associated with this technique is represented by the fact that it is compatible with waterborne systems, it is functional over a wide temperature range and it is tolerant to some extent to the presence of oxygen. Its downsides are represented by the necessity to remove the catalyst from the final product in order to avoid interference with its final use and to prevent the polymer degradation. Care is also required in order to avoid interactions between the catalyst and the monomer.
2.3.3 LRP processes: Reversible Addition-Fragmentation chain Transfer (RAFT)
This process is one of the latest additions to the field of living radical polymerisation. The mediating agent in this case reacts by addition fragmentation chain transfer. In the mid 1980s the first reports appeared on the use of macromonomers12, allyl sulphides13, allyl bromides14, allyl peroxides15 vinyl ethers16 and thionoesters17 as addition- fragmentation chain transfer agents for the control of free radical polymerisation. Later, it was found that simple compounds containing the thiocarbonylthio moiety were much
21 Cinzia Lea Chemistry and mechanism of radical polymerisation
18 more effective at imparting a living behaviour to these systems than the previous ones . The RAFT process has demonstrated to be quite a versatile technique; it has been successfully carried out to control the FRP of a variety of vinyl monomers, in particular, it is very effective in controlling the polymerisation of fast propagating monomers. Operating conditions include low temperatures19, while initiation is provided by thermal initiators, UV20 or -radiation21. Reactions can be conducted in bulk and in a range of reaction media, including supercritical carbon dioxide22 and protic solvents like water23,24 and alcohol25. RAFT has proved to be suitable in dispersed media, in emulsion and microemulsion polymerisation26,27,28 where ATRP and NMP have failed. The process has also been shown to be compatible with the syntheses of monomers bearing
-OH, -SO3 and -CO2H functionality.
2.3.3.1 Mechanism of the RAFT polymerisation
The key step in this technique is represented by a sequence of addition fragmentation equilibria as shown in Scheme 2.829. After the initiation step, at the early stage of the polymerisation, the RAFT agent, a thiocarbonylthio compound in this instance, reacts with the active polymeric chain forming the adduct (A). This in turn undergoes fragmentation, with formation of a macro RAFT agent and a new initiating radical. For living conditions to be established it is believed that the rapid exchange between the active propagating radicals Pn and Pm and the dormant thiocarbonylthio compound plays a fundamental role by providing equal probability to all chains to grow in turn. For this system the transfer coefficient is given by Ctr = ktr/kp, as for transfer agents in free radical polymerisation, however, the rate constant for chain transfer (ktr) takes into account the fragmentation step and the reversibility of the process. Assuming steady state conditions and no side reaction of the intermediate radical7:
k kf ktr = add k-add + kf For RAFT systems the Mayo method does not provide an accurate estimation of this constant, due to the high value of Ctr.
22 Cinzia Lea Chemistry and mechanism of radical polymerisation
Initiation:
ki I + M Pn
Reversible chain transfer:
k kf S S R add Pn S S R Pn S S Pn + + R M k k-f -add Z kp Z Z
RAFT agent (A) (M)
Re-initiation:
kri R + M R M
Chain equilibration:
k P S S P k S S R - m n Pm S S Pm + + Pn k M k Z - kp Z Z
RAFT agent (A') (M)
Termination:
kt P + P m n dead polymer
Scheme 2.8. Mechanism of the RAFT polymerisation.
23 Cinzia Lea Chemistry and mechanism of radical polymerisation
In general, for a RAFT agent to be effective the following conditions must be realised:
5 The C=S double bond must be highly reactive (high kadd);
5 The radical adduct (A) must promptly undergo fragmentation kf»k-add;
5 The radical R formed as a result of the fragmentation must be able to efficiently re-
initiate the polymerisation (high kri).
The interaction of the substituent Z with the C=S double bond can either activate or deactivate the RAFT agent toward free radical addition. In general, substituents that stabilise the intermediate radical (A) increase the growing radical addition rate. However, the choice of a Z group has to take into consideration the fact that a highly stabilising substituent would slow down the rate of fragmentation of the adduct radical and therefore cause unwanted retardation. Depending on the nature of Z we can distinguish four classes of thiocarbonylthio compounds:
1. Dithioesters; 2. Trithiocarbonates; 3. Dithiocarbonates (xanthates); 4. Dithiocarbamates,
They originate when Z is respectively: an aryl/alkyl group (1), substituted sulphur (2), substituted oxygen (3) or substituted nitrogen (4). In the case of Styrene, which is considered to be a radical with moderate reactivity, the chain transfer constant decreases when going from dithioesters to dithiocarbamates; this is in line with what discussed above. The low reactivity of dithiocarbonates and dithiocarbamates can be ascribed to the fact that the delocalisation of the oxygen and nitrogen lone pairs with the C=S double bond increases the compound stability. These substituents are highly effective for highly reactive monomer radicals, such as vinyl esters. The dithiocarbonates and dithiocarbamates efficiency as RAFT agents is enhanced when they become part of, or are adjacent to, an electron-withdrawing compound. In such circumstances, in fact, the ability of the lone pair to interact with the C=S30 group is diminished.
24 Cinzia Lea Chemistry and mechanism of radical polymerisation
The intermediate radical rate of fragmentation k is favoured by factors which render the radical R a good homolitic leaving group with respect to the attacking growing
P radical n . RAFT agents bearing a benzyl (CH2 Ph) group as a leaving radical R , for instance, have been found to be effective in controlling the polymerisation of styryl and acrylyl propagating radicals, but almost inert when applied to the polymerisation of methyl methacrylate; the explanation for this phenomenon lay in the fact that the benzyl radical is more stable than the styryl and acrylyl radicals, but a rather poor leaving group with respect to the methacrylyl growing radical31 and, as a consequence, in this latter case, the rate of fragmentation of the intermediate radical A is affected. It is also important to note that the stability of the radical R formed should not compromise the ability of the new radical to re-initiate polymerisation without delay, as already seen for the role of transfer agents in free radical polymerisation.
2.3.3.2 Choice of the RAFT agent
The selection of the RAFT agent decides the success or failure of the living process. In order to provide guidelines on how to select the right agent for a certain monomer, we can divide monomers in three groups. The first one includes methylmethacrylates (MMA), the second one includes styrene (S), methylacrylate (MA), acrylamide (AM) and acrylonitrile (AN) and finally the third one including vinyl monomers like vinyl acetate. Scheme 2.97 can provide an indication for choosing a suitable agent for a particular monomer type. On the top line the addition rate decreases from left to right when the activating group Z varies, on the bottom line the fragmentation rate decreases from left to right when the leaving group R changes. The dashed line indicates poor control, i.e., a linear increase of the molecular weight with conversion, but high polydispersity or, for vinyl acetate, retardation. Z groups which highly activate the C=S double bond towards addition and good leaving groups are needed when the growing radical is MMA, characterised by high steric hindrance and moderate reactivity32. So, 32 good control is obtained for R= C(alkyl)2Ph and C(alkyl )2CN and Z=Ph . The second group offers more flexibility in the choice of the RAFT agent, in particular, in regard to the leaving agent R. This can be explained by the lower stability of the monomer radical with respect to the methylmethacrylate radical. At last, vinyl acetate is a very reactive radical; only Z substituents which confer low stability to the intermediate radical (A’) are able to enhance its rate of fragmentation, therefore xanthates and
25 Cinzia Lea Chemistry and mechanism of radical polymerisation
dithiocarbamates32,33 make effective RAFT agents for the polymerisation of this class of monomers. O
Z: Ph >> SCH3 ~ CH3 N >> N > OPh > OEt ~ N(Ph)(CH3) > N(Et)2
VAc MMA S, MA, AM, AN
CH3 CH CH CH 3 H 3 CH3 3 CH3 H CH3 H R: CN ~ Ph > COOEt>> Ph > CH2 CH 3 ~ CN ~ Ph > CH 3 ~ Ph CH 3 CH CH3 CH CH3 H CH 3 CO2H 3 CH3 3 H
MMA S, MA, AM, AN
VAc
Scheme 2.9. Variation of addition and fragmentation rates for different monomers when the composition of R and Z varies.
Once a suitable RAFT agent has been selected, the concentration of the components and their ratios need to be considered. The experimental conditions must favour the generation of the largest number of possible living chains and discourage the occurrence of termination events. In order to achieve this it is appropriate to adopt a high ratio of RAFT agent to initiator concentration and to reduce the concentration of radical species in the system by conducting the reaction at low radical flux. Of all the polymeric chains in the RAFT process, some are RAFT agent derived, whereas others are initiator derived. The former ones carry the thiocarbonylthio end group, while the second ones did not undergo addition reaction with the RAFT agent and therefore they did not acquire a living character. The number of living chains, characterised by the thiocarbonylthio end group, is equal to the number of radicals R generated during the fragmentation step. If a significant fraction of initiated chains does not undergo addition, their contribution must be taken into account when calculating the average number molecular weight M n :
26 Cinzia Lea Chemistry and mechanism of radical polymerisation
[M] t Mn = mM + mRAFT [RAFT]0 + df ([I]0-[I]t)
where [M]0–[M]t and [I]0–[I]t are respectively the amount of monomer and the amount of initiator consumed, mM and mRAFT are respectively the molecular weight of the monomer and of the RAFT agent, d is the number of chains generated from radical- radical termination and f is the initiator efficiency. In the ideal case that each chain has living properties, the molecular weight is given by the ratio between the converted monomer and the initial RAFT agent concentration:
[M] t M n = mM + mRAFT [RAFT]0
2.3.3.3 Side reactions in RAFT polymerisation
The occurrence of side reactions during the polymerisation reaction can lead to retardation, formation of by-products and anomalies in the molecular weight distributions. Significant retardation (decrease in the polymerisation rate with respect to the FRP process) has been noticed in the RAFT polymerisation of acrylate esters in the presence of dithiobenzoate esters. An initial inhibition period (no polymerisation activity) and retardation has been reported for the polymerisation of MA mediated by the following dithiobenzoates: 1-phenylethyl (1-PEDB) and 2-(2cyanopropyl) (CPDB), benzyl (BDTB), , and also with cumyl dithiophenylacetate 34,35,36. Less retardation for the mediated polymerisation of the acrylate esters was instead experienced when the RAFT agents were aliphatic dithioesters and trithiocarbonates34,35,37.. Also in the case of the polymerisation of styrene and methacrylates retardation effects have been reported when RAFT mediating agents are cumyl dithiobenzoates7,38,39, 40. This effect becomes more pronounced the higher the concentration of the RAFT agent. While it has been suggested that the inhibition period may correspond to the time taken to convert the RAFT agent into the macroRAFT agent, the causes of retardation are still a controversial subject. Furthermore inconsistencies in the reported rates of polymerisation suggests that RAFT polymerisation is sensitive to the presence of oxygen and impurities in the system. It has been shown that the polymerisation of MMA with S-dodecyl S-(2-cyano- 4-carboxy)but-2-yltrithiocarbonate in the presence of oxygen provides narrow molecular
27 Cinzia Lea Chemistry and mechanism of radical polymerisation
weight distribution and some molecular weight control, however retardation is present and the product is characterised by lower than predicted molecular weights7. It is possible that slow fragmentation increases the chances of the intermediate radicals undergoing side reactions among themselves or with other radical species like initiator derived or propagating radicals.
2.3.3.4 Copolymerisation using the RAFT system
2.3.3.4.1 Random copolymers
When the RAFT process is used for the synthesis of copolymers, the choice of the agent must take into account its compatibility with both monomers. The copolymerisation of styrene and MMA has been successfully conducted in the presence of benzyldithiobenzoate, this agent, however does not make a good mediator for the homopolymerisation of MMA7. Therefore it is not required that the agent be suitable for the controlled homopolymerisation of each one of the monomers involved in the copolymerisation. 1H-NMR spectroscopy has demonstrated that the copolymers sequence distribution in a random copolymerisation is not modified by the introduction of a RAFT agent41,42. Nevertheless, at very low conversions, a drift from the copolymer composition obtained in the conventional process has been noticed. This effect could result from the preference of the initiating species R towards one of the components43,44. The advantage associated with the RAFT copolymerisation is that all chains have similar composition; they are called tapered or gradient copolymers, whereas the product obtained in FRP is composed of chains with different molecular composition. The presence of the RAFT agent also does not alter the composition of alternating polymers, as seen for the synthesis of poly(styrene-alt-maleic anhydride)45 and poly(styrene-alt- methylmethacrylate)46.
28 Cinzia Lea Chemistry and mechanism of radical polymerisation
2.3.3.4.2 Diblock and triblock copolymers
The presence of the thiocarbonylthio group in the living chains makes it also possible to synthesise di-block copolymers of composition AB47,48,49. This is obtained by adding a different monomer to a pre-formed living homopolymer chain. Consideration must be paid to the sequence according to which the monomers are fed to the mixture, it has been demonstrated50 that the monomer with better leaving ability should constitute the first building block in order to obtain low polydispersity. In a similar way, by adding in sequence further monomer(s) we can chain extend an AB block and generate ABA or ABC blocks. A more efficient way to generate ABA blocks is to take advantage of a RAFT agent with double functionality (bis-RAFT agent) and synthesise in one step a di- block copolymer with 2 arms of equal composition and length. Two types of bis-RAFT agent: type A and type B have been used to synthesise tri-blocks. As shown in Scheme 2.2, in bis-RAFT A the thiocarbonylthio functionality is situated at the extremities of the molecule, whereas in type B it is situated in the centre. As a consequence the polymer produced with type A bis-RAFT bears the RAFT functionality at the chain ends, while in the second case it is located in the centre. Type A bis-dithioesters51, bis- trithiocarbonates52, bis-dithiocarbonates53 and bis-dithiocarbamates54 (in which both Z and R substituents are respectively alkyl or aryl groups, substituted sulphur groups or substituted oxygen groups) and type B bis-trithiocarbonates55,56 (in which both R and Z substituents are substituted sulphur groups) have been reported to afford control over the formation of tri-blocks.
S S nM S S Z=R: Alkyl Z S R S bis-dithioesters Z Z S M S n Z Aryl
Bis-RAFT A S nY S Z=R: Substituted sulphur bis-trithiocarbonates Z S M Y S n n Z Substituted oxygen bis-dithiocarbonates S S nM Z M M Z Substituted nitrogen bis-dithiocarbamates
Z Z n/2 n/2
Bis-RAFT B S nY Z=R: Substituted sulphur bis-trithiocarbonates Z Y M M Y Z n/2 n/2 n/2 n/2
Scheme 2.2. Mechanism of formation of a tri-block copolymer with bis-RAFT agents.
29 Cinzia Lea Chemistry and mechanism of radical polymerisation
References
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31 Cinzia Lea Copolymerisation systems in radical polymerisation
Chapter 3. Copolymerisation systems in radical polymerisation
3.1 Definitions A macromolecule having two or more disparate monomers incorporated in its structure is defined as a copolymer. Copolymers can differ either by their microstructure, which is the order by which the comonomers are aligned along the chain, or by their composition, which is the relative amount of each monomer in the copolymer chain. In the simplest case that two monomers only participate to the synthesis, copolymers can be classified on the basis of their microstructures in:
Random copolymers. This is the most common microstructure and it is characterised by a casual sequence of monomer units. The ratio between the monomers in the reaction mixture and their relative reactivity determines the copolymer composition.
Alternating copolymers featuring regularly alternating monomer units along the chain;
Block copolymers characterised by long sequences of a monomer joining long homopolymer chains of the other monomer.
Grafted copolymers in which homopolymer side chains of a monomer are attached to a backbone made of repeating units of the other monomer.
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3.2 Copolymer composition
Copolymerisation provides a versatile way to prepare polymeric materials with predetermined chemical and physical properties. These properties are closely related to the copolymer components chemical nature, their distribution in the copolymer (copolymer microstructure) and relative amount (copolymer composition). Staudinger in 1930 discovered that the monomers percentage in the copolymer is very often different from their percentage in the initial mixture. This is due to the fact that each monomer has different reactivity, intended as its tendency to enter the polymeric chain; which determines a variation in the feed composition as a function of conversion during the course of the reaction. Kinetic models have been created with the aim to predict the instantaneous copolymer composition and sequence distribution. Although copolymerisation proceeds through the initiation, the propagation and the termination steps, as seen for homopolymerisation, kinetic models take into consideration the propagation reaction only, since this is the step which controls the monomers rate of admission into the growing chain. A kinetic model able to describe such a complex system must rely on some simplifying assumptions:
1. Propagating radicals with a chain length greater than 3 units are considered kinetically equal. These chains are long enough for short radical addition to be negligible and for the monomers consumption to be ascribed only to propagation reactions1. For the same reason termination and chain transfer reactions can be overlooked for active propagating radicals with chain length greater than 10 unit;
2. The radical concentration is constant (quasi-steady state assumption)2;
3. Only side reactions specific to the conditions employed are taken into account.
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3.2.1 The Terminal model
In the Terminal model the following further simplifying assumption are made: Only the latest monomeric unit influences the reactivity of the growing chain, regardless of its composition and length; The propagation reaction is the result of irreversible addition events. In the presence of two monomers M1 and M2, and their respective growing species M1 and M2 , the following addition reactions are possible:
k11 + M 1 M1M1
M1 k12 + M 2 M1M2
k21 + M 1 M2M1
M2 k22 M M + M2 2 2
Scheme 3.1. Possible propagation reactions according to the Terminal model.
The first and the second index associated to the rate constants k indicate respectively the active centre and the monomer involved in the reaction. So, k1,1 and k2,2. are the self- propagation rate constants and k1,2 and k2,1 are the corresponding cross-propagation rate constants. The rate of consumption of the monomer is expressed by:
d[M1] - = k11 M1 M1 + k21 M2 M1 dt (3.1)
d[M2] - = k12 M1 M2 + k22 M2 M2 dt
The ratio between the two equations is:
M M M M d[M ] k11 1 1 + k21 2 1 1 = (3.2) k M M + k M M d[M2] 12 1 2 22 2 2
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In accordance with the steady state assumption, for the concentration of M1 and M2 to be constant it is necessary that their rate of cross-propagation is equal: