8
Kinetics and Mechanism of the Charge-Transfer Polymerization of Methyl Methacrylate Initiated with n-Butyl Amine and Carbon Tetrachloride Catalyzed by Palladium Dichloride Rajesh Tiwari, 1,2 David A. Spivak 2 1 Department of Chemical Engineering, Michigan Technological University, 1400 Townsend Drive, Houghton, Michigan 49931 2 Department of Chemistry, Louisiana State University, 232 Choppin Hall, Baton Rouge, Louisiana 70803 Received 4 May 2010; accepted 24 April 2011 DOI 10.1002/app.34848 Published online 29 November 2011 in Wiley Online Library (wileyonlinelibrary.com). ABSTRACT: We studied the kinetics and mechanism of the charge-transfer polymerization of methyl methacrylate (MMA) initiated with n-butyl amine (BA) and carbon tet- rachloride (CCl 4 ) catalyzed by palladium dichloride (PdCl 2 or Pd II ) in a dimethyl sulfoxide medium by using a dilato- metric technique at 60 C. The rate of polymerization (R p ) was a function of [MMA], [BA], [CCl 4 ], and [Pd II ]. The ki- netic data indicated a mechanism involving the possible participation of the charge-transfer complex formed between the {BA–Pd II } complex and CCl 4 or monomer in the polymerization of MMA. In the absence of either CCl 4 or BA, no polymerization of MMA was observed under these experimental conditions. R p was inhibited by hydro- quinone; this suggested a free-radical initiation. V C 2011 Wiley Periodicals, Inc. J Appl Polym Sci 124: 4025–4032, 2012 Key words: charge transfer; catalysts; kinetics (polym.) INTRODUCTION Platinum group metals have ability to form coordina- tion and chelate complexes 1,2 because of their stereo- chemistry and stabilities of different oxidation states. These complexes have been widely used as heteroge- neous and homogeneous catalysts in various poly- merizations 3–6 and redox reactions. 7–15 It has been observed that very small amounts of these metal ions ($ 10 6 M) are sufficient to accelerate the rate of poly- merization (R p ) of monomers, namely, methyl acrylate (MA), ethyl acrylate (EA), butyl acrylate, 16 and acrylo- nitrile. 17 These metal ions also help in the formation of charge-transfer complexes between amine/amino alcohols and carbon tetrachloride (CCl 4 ) or monomer and themselves; these play an important role in the initiation of the polymerization processes. In the presence of platinum-group metals, the ini- tiation of the polymerization of methyl methacrylate (MMA) initiated with an amine/amino alcohol and CCl 4 by a charge-transfer mechanism has been widely studied by many investigators. 18,19 Two differ- ent mechanisms for the initiation of the polymeriza- tion of MMA involving charge-transfer complexes have been proposed. These mechanisms are (1) the interaction 20 of amine and CCl 4 under the conditions [CCl 4 ]/[Amine] 1 and (2) the interaction 21 of amine and MMA under the conditions [CCl 4 ]/[Amine] ! 1. Dass and coworkers 22,23 and Dwivedi et al. 24 pre- sented experimental evidence that both types of mechanisms are possible. Thus, the charge-transfer complex polymerization of MMA initiated by amine/ amino alcohols and CCl 4 has been investigated with these mechanisms in detail by many investigators. 25–35 In this study, the kinetics and mechanism of the charge-transfer polymerization of MMA initiated with BA and CCl 4 and catalyzed by Pd II in dimethyl sulf- oxide (DMSO) medium were investigated. The effects of the reactant, MMA, BA, CCl 4 , Pd II , hydroquinone, temperature, and so on on R p were studied. The sys- tematic kinetic results are reported, and a mechanism of the polymerization process is proposed. EXPERIMENTAL Materials The chemicals MMA (>99%), DMSO (>99.9%), CCl 4 (>99.9%), and BA (>96%) were purified before use. BA was distilled under reduced pressure under Correspondence to: R. Tiwari ([email protected] or [email protected]). Journal of Applied Polymer Science, Vol. 124, 4025–4032 (2012) V C 2011 Wiley Periodicals, Inc.

Kinetics and mechanism of the charge-transfer polymerization of methyl methacrylate initiated with n-butyl amine and carbon tetrachloride catalyzed by palladium dichloride

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Page 1: Kinetics and mechanism of the charge-transfer polymerization of methyl methacrylate initiated with n-butyl amine and carbon tetrachloride catalyzed by palladium dichloride

Kinetics and Mechanism of the Charge-TransferPolymerization of Methyl Methacrylate Initiatedwith n-Butyl Amine and Carbon TetrachlorideCatalyzed by Palladium Dichloride

Rajesh Tiwari,1,2 David A. Spivak2

1Department of Chemical Engineering, Michigan Technological University, 1400 Townsend Drive,Houghton, Michigan 499312Department of Chemistry, Louisiana State University, 232 Choppin Hall, Baton Rouge,Louisiana 70803

Received 4 May 2010; accepted 24 April 2011DOI 10.1002/app.34848Published online 29 November 2011 in Wiley Online Library (wileyonlinelibrary.com).

ABSTRACT: We studied the kinetics and mechanism ofthe charge-transfer polymerization of methyl methacrylate(MMA) initiated with n-butyl amine (BA) and carbon tet-rachloride (CCl4) catalyzed by palladium dichloride (PdCl2or PdII) in a dimethyl sulfoxide medium by using a dilato-metric technique at 60�C. The rate of polymerization (Rp)was a function of [MMA], [BA], [CCl4], and [PdII]. The ki-netic data indicated a mechanism involving the possibleparticipation of the charge-transfer complex formed

between the {BA–PdII} complex and CCl4 or monomer inthe polymerization of MMA. In the absence of either CCl4or BA, no polymerization of MMA was observed underthese experimental conditions. Rp was inhibited by hydro-quinone; this suggested a free-radical initiation. VC 2011Wiley Periodicals, Inc. J Appl Polym Sci 124: 4025–4032, 2012

Key words: charge transfer; catalysts; kinetics (polym.)

INTRODUCTION

Platinum group metals have ability to form coordina-tion and chelate complexes1,2 because of their stereo-chemistry and stabilities of different oxidation states.These complexes have been widely used as heteroge-neous and homogeneous catalysts in various poly-merizations3–6 and redox reactions.7–15 It has beenobserved that very small amounts of these metal ions(� 10�6 M) are sufficient to accelerate the rate of poly-merization (Rp) of monomers, namely, methyl acrylate(MA), ethyl acrylate (EA), butyl acrylate,16 and acrylo-nitrile.17 These metal ions also help in the formationof charge-transfer complexes between amine/aminoalcohols and carbon tetrachloride (CCl4) or monomerand themselves; these play an important role in theinitiation of the polymerization processes.

In the presence of platinum-group metals, the ini-tiation of the polymerization of methyl methacrylate(MMA) initiated with an amine/amino alcohol andCCl4 by a charge-transfer mechanism has beenwidely studied by many investigators.18,19 Two differ-

ent mechanisms for the initiation of the polymeriza-tion of MMA involving charge-transfer complexeshave been proposed. These mechanisms are (1) theinteraction20 of amine and CCl4 under the conditions[CCl4]/[Amine] � 1 and (2) the interaction21 of amineand MMA under the conditions [CCl4]/[Amine] � 1.Dass and coworkers22,23 and Dwivedi et al.24 pre-sented experimental evidence that both types ofmechanisms are possible. Thus, the charge-transfercomplex polymerization of MMA initiated by amine/amino alcohols and CCl4 has been investigated withthese mechanisms in detail by many investigators.25–35

In this study, the kinetics and mechanism of thecharge-transfer polymerization of MMA initiated withBA and CCl4 and catalyzed by PdII in dimethyl sulf-oxide (DMSO) medium were investigated. The effectsof the reactant, MMA, BA, CCl4, Pd

II, hydroquinone,temperature, and so on on Rp were studied. The sys-tematic kinetic results are reported, and a mechanismof the polymerization process is proposed.

EXPERIMENTAL

Materials

The chemicals MMA (>99%), DMSO (>99.9%), CCl4(>99.9%), and BA (>96%) were purified before use.BA was distilled under reduced pressure under

Correspondence to: R. Tiwari ([email protected] [email protected]).

Journal of Applied Polymer Science, Vol. 124, 4025–4032 (2012)VC 2011 Wiley Periodicals, Inc.

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nitrogen.36 CCl4 was washed37 with a dilute aqueoussodium carbonate solution and then with distilledwater. The washed CCl4 was dried over magnesiumsulfate. The water that might have been present inDMSO was removed by azeotropic distillation withbenzene. The product was then dried over calciumhydride and fractionally distilled under reduced pres-sure. The middle fraction of distilled DMSO was usedfor polymerization.38 The stock solution of PdCl2 wasprepared by the dissolution of a 1.0-g sample of palla-dium dichloride in 25 mL of 0.01N hydrochloric acid(HCl) and then its dilution to 250 mL (with H2O).Dilution of this stock solution was used as a catalyst.The PdCl2 content of the stock solution was checkedspectrophotometrically7 from time to time.

Polymerization procedure

The polymerization of MMA was carried out in adilatometer (Custom build, MTU, MA, USA)39 (bulbcapacity ¼ 5 mL, with an 11 cm long capillary witha 3-mm diameter) under a nitrogen atmosphere at60�C with DMSO as the solvent. The requiredamounts of MMA, BA, CCl4, Pd

II, and DMSO weretaken in the dilatometer, which was immediatelysealed and placed in a thermostatic water bath main-tained at 60 6 0.1�C for 2 h. We monitored the pro-gress of the reaction with the help of a cathetometerby recording the meniscus movement (i.e., volumeper unit time). The polymerization was not allowedto proceed beyond 25% to prevent the formation ofside products and to obtain reliable kinetic data. Thepolymer was precipitated with acidified methanoland dried to a constant weight.

Evaluation of Rp

Rp of MMA is given as

Rpðmoldm�3s�1Þ ¼ w� 103

t� 60� 100:12(1)

where w is the weight of polymer obtained from 1.0mL of MMA (molecular weight ¼ 100.12 g/mol anddensity ¼ 0.94 g/cm3) and t is the time in minutesof polymerization of MMA. The percentage conver-sion (C) can be defined as follows:

C ¼ w� 100

1� 0:94(2)

From eqs. (1) and (2), Rp may be given as

Rp ¼ 0:94� C� 103

100� t� 60� 100:12

or on simplification

Rp ¼ 1:564� C� 10�3

t(3)

Thus, according to eq. (3), Rp may be evaluatedfrom the slope of the plot of C versus t. In actualexperiments, C is obtained from a master graph plot-ted between C and volume contraction (Fig. 1). Cthus obtained is plotted against t to calculate Rp.

Determination of the intrinsic viscosity ([g]int) data

[g]int of the polymer was determined40 in a chloro-form solution with an Ubbelohde viscometer (Cus-tom build, MTU, MA, USA) at 25�C. The viscometerwas washed with chromic acid and then with dis-tilled water and dried with acetone. Various solu-tions of polymer, namely, 0.1, 0.2, 0.3, 0.4, and 0.5(w/v) in solvent, were prepared. The efflux time ofthese solutions in the Ubbelohde viscometer weredetermined with the help of a stopwatch. Equations(4) and (5) were used for calculate the specific vis-cosity ([g]sp) and [g]int, respectively:

½g�sp ¼ t� t0t0

(4)

where t is the efflux time of solution and t0 is theefflux time of the solvent.

½g�int ¼½g�spC

where C ! 0 and C is the concentration of the solu-tion (wt %). [g]int was obtained from a graph plottedbetween [g]sp and C.

Figure 1 Master graph plotted between C versus volumecontraction for PdII-catalyzed polymerization of MMAwith BA and CCl4 at 60

�C in DMSO medium.

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Determination of the average degree ofpolymerization (Pn)

Pn was calculated41 with eq. (6), as follows:

½g�int ¼ 1:91� 10�3P:080

n (5)

This can be written as

logPn ¼ 1:25 logðgÞint þ 3:3986 (6)

Determination of the number-average molecularweight (Mn) of the polymer

Mn of the polymer was calculated42 with the Mark–Houwink equation [eq. (8)]:

½g�int ¼ KMan (7)

where [g]int is the intrinsic viscosity of the polymer(dL/g) and was measured at 25�C with the Ubbe-lohde viscometer. The values of the constants Kand a used in eq. (7) were 4.8 � 10�5 and 0.80,respectively.

Equation (8) can be written as

½g�int ¼ 4:8� 10�5M0:80

n (8)

RESULTS AND DISCUSSION

The effects of the reactants, namely, MMA, BA,PdCl2, hydroquinone, and temperature, on Rp ofMMA were investigated. The kinetic results aresummarized. No polymerization of MMA wasobserved in the absence of either BA or CCl4 under

these experimental conditions; this suggested thatpresence of both BA and CCl4 was necessary for theinitiation of the polymerization of MMA.The effect of MMA on Rp was measured at various

initial concentrations of MMA at 60�C, with the con-centrations of other reactants (viz., BA, CCl4, andPdCl2) kept constant. The results are given in Table I.The monomer exponent value calculated from theslope of the linear plot between log Rp and log[MMA] (Fig. 2) was found to be 1.00 6 0.05; this indi-cated a first-order variation of Rp of MMA under theexperimental conditions, that is, when [CCl4]/[Amine] � 1.The effect of BA on Rp was studied at various ini-

tial concentrations of BA at 60�C, with the concentra-tions of the other reactants (viz., MMA, CCl4, andPdCl2) kept constant. The results are given in TableI. The plot of log Rp versus log [BA] (Fig. 2) was lin-ear, with a slope of about 0.5 6 0.05; this suggestedthat Rp was proportional to [BA]1/2.Rp increased with increases in the concentration of

CCl4 or PdCl2 (Table II) at fixed concentrations ofthe other reactants. The relationship between Rp andthe concentration of CCl4 or PdCl2 was determinedfrom the slope of the plot of log Rp versus log [CCl4](Fig. 3) or log Rp versus log [PdCl2] (Fig. 4). Theslope in each case was found to be approximately0.5; this indicated the normal half-order dependenceof Rp on [CCl4] or [Pd

II].The values of constant [g]int, Pn, and Mn, obtained

from eqs. (5), (6), and (8), respectively, are given inTable III. The experiments were also carried out atdifferent concentrations of hydroquinone, and therates of polymerization (Rp) are given in Table IV.

TABLE IEffect of [MMA] and [BA] on Rp of the PdII-CatalyzedPolymerization of MMA at 60�C in DMSO Medium

[MMA](mol/dm3)

[BA](mol/dm3)

Rp � 104

(mol dm�3 s�1)

0.81 0.94 0.44 6 0.011.32 0.94 0.85 6 0.011.77 0.94 1.34 6 0.032.64 0.94 1.76 6 0.043.11 0.94 2.23 6 0.073.54 0.94 2.68 6 0.093.54 0.18 1.10 6 0.023.54 0.37 1.60 6 0.033.54 0.56 2.00 6 0.053.54 0.75 2.40 6 0.083.54 0.94 2.68 6 0.093.54 1.13 2.95 6 0.103.54 1.32 3.25 6 0.11

[CCI4] ¼ 0.77 mol/dm3 and [PdCl2] � 106 ¼ 8.70mol/dm3.

Figure 2 Plot of log Rp versus log [MMA]/[BA] for poly-merization of MMA at 60�C in DMSO medium ([CCl4] ¼0.77 mol/dm3 and [PdCl2] ¼ 8.70 � 106 mol/dm3).

CHARGE-TRANSFER POLYMERIZATION OF MMA 4027

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Hydroquinone is a well-known retarder24 of free-radical polymerization reactions, and it wasobserved that an increase in the concentration of hy-droquinone decreased Rp in the presence of BA. Thisconfirmed that the free-radical polymerization wasoperative in the system.

To obtain the activation parameters for the poly-merization, Rp was determined at 50, 55, 60, and65�C, and the results are given in Table IV. The acti-vation parameters are given in Table V. The value ofthe energy of activation (Ea) and the pre-exponentialconstant (log A) were evaluated from the slope ofthe Arrhenius plot of log Rp versus 1/T. The en-thalpy change (DH#) was evaluated from Ea. The val-ues of Ea and DH# were found to be about 51.0 6 1.0and 62.0 6 1.0 kJ/mol, respectively.

The negative entropy change (DS#) of activationindicated the compactness of the prepared polymerin comparison to the monomer. The free-energychange (DG#) indicated43,44 that the polymerizationof MA in the presence of BA followed a similarmechanism. On the basis of the experimental resultsand reported literature, the mechanism for polymer-ization of MMA initiated by BA and CCl4 withPdCl2 as a catalyst was given.

Mechanism of polymerization

In Scheme 1, the first charge-transfer complexes(I1’s), formed between the {BA–PdII} complex andCCl4, and the second charge-transfer complexes(I2’s), formed between the {BA–PdII} complex andMMA, could not be detected in the polymerizationsystem because they were too reactive. Therefore,we explored the PdII-catalyzed charge-transfer poly-merization of MMA; the kinetics data indicated the

TABLE IIEffect of [CCl4] and [PdCl2] on Rp of the PdII-CatalyzedPolymerization of MMA at 60�C in DMSO Medium

[CCI4](mol/dm3)

[PdCl2] � 106

(mol/dm3)Rp � 104

(mol dm�3 s�1)

0.19 8.70 0.67 6 0.010.29 8.70 1.00 6 0.020.38 8.70 1.33 6 0.030.48 8.70 1.67 6 0.030.58 8.70 2.00 6 0.050.68 8.70 2.34 6 0.070.77 8.70 2.68 6 0.090.77 Nil 0.66 6 0.010.77 4.35 1.80 6 0.040.77 6.62 2.25 6 0.060.77 8.70 2.68 6 0.090.77 13.90 3.00 6 0.100.77 15.22 3.20 6 0.11

[MMA] ¼ 3.54 mol/dm3 and [BA] ¼ 0.94 mol/dm3.

Figure 3 Plot of log Rp versus log [CCl4] for the polymer-ization of MMA at 60�C in DMSO medium ([CCl4] ¼ 0.77mol/dm3 and [PdCl2] ¼ 8.70 � 106 mol/dm3).

Figure 4 Plot of log Rp versus log [PdCl2] for the poly-merization of MMA at 60�C in DMSO medium ([CCl4] ¼0.77 mol/dm3 and [PdCl2] ¼ 8.70 � 106 mol/dm3).

TABLE III[g]int, Pn, and Mn Data for the PdII-Catalyzed

Polymerization of MMA by BA in the Presenceof CCl4 at 25�C

[g]int (dL/g) Pn Mn � 105

0.51 6 0.01 911 6 0.50 1.51 6 0.010.62 6 0.01 1,701 6 0.5 2.15 6 0.010.71 6 0.01 2,517 6 1.0 2.57 6 0.050.80 6 0.05 3,421 6 1.0 3.12 6 0.050.87 6 0.05 4,117 6 1.5 3.75 6 0.070.95 6 0.05 4,921 6 1.0 4.19 6 0.09

[MMA] ¼ 3.54 mol/dm3, [BA] ¼ 0.94 mol/dm3, [CCI4]¼ 0.77 mol/dm3, and [PdCl2] � 106 ¼ 8.70 mol/dm3.

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possibility of formation of both the charge-transfercomplex formed between the {BA–PdII} complex andCCl4 and the other {BA–PdII} complex and MMA.On the basis of the experimental results and discus-sion, the mechanism for the PdII-catalyzed charge-transfer polymerization of MMA initiated with BAand CCl4 in the presence of DMSO medium at 60�Cis proposed, as given in Scheme 1.

The polymerization of MMA was inhibited by hy-droquinone; this indicated a free-radical mechanismfor the polymerization. These free radicals were gen-erated by the decomposition of the charge-transfercomplex formed by EA as the electron donor.

The mechanism for the initiation of the polymer-ization of MMA by amino alcohol in the presence ofCCl4 under the experimental conditions [CCl4]/[Amino alcohol] � 1 and [CCl4]/[Amino alcohol] �1 was explained44 on the basis of formation of thecharge-transfer complex by the interaction of theamino alcohol with CCl4 and its subsequent decom-position to produce CCI3. There have also beenreports45–48 that the polymerization of amine/aminoalcohol with CCl4 systems is vastly accelerated bytransition-metal ions, such as Fe3þ and Cu2þ. Insome cases, the formation of the {Fe3þ–amine} com-plex and its reaction with CCl4 to give CCI3 has alsobeen reported. The PdII complex with amines hasalso been observed during other kinetics investiga-tions.49,50 Therefore, on the basis of the experimentalresults, the mechanism for the initiation of the PdII -catalyzed polymerization of MMA by BA in thepresence of CCl4 is proposed, as given in Scheme 1.

Initiation

RNH2ðBAÞ

þPdII ,K1 ½RNH2 ! PdII�ðCComplexÞ

(9)

where Ccomplex and K1 are Initiation complex andreaction rate constant, respectively,

CComplex

� �þ CCI4 ,k2

k2

ðI1Þðcharge�transfercomplexÞ

ðSlowÞ (10)

ðI1Þ þ MðMonomerÞ

�!k3 ðRNþ�

H2CI�Þ þM� CCI3

ðR�

ÞðFastÞ

(11)

ðCComplexÞ þM,k4k4

ðI2Þðcharge�transfercomplexÞ

ðSlowÞ (12)

ðI2Þ þ CCI4 �!k5 ðRNþ�

H2CI�Þ þM� CCI3

ðR�

ÞðFastÞ

(13)

R�

þM �!ki M�

1 ðInitiationÞ (14)

where Ki is the Initiation rate constant

Propagation

M1

þM �!kp M�

2 (15)

M2

þM �!kp M�

3

where Kp is the propagation rate constant

Termination

Mnþ1

�!kp PðPolymerÞ

(16)

Mnþ1

þMþx �! �CH@CHRþMþðX¼1Þ þHþ (17)

Scheme 1

where Mþx represents a metal complex with an oxi-dation state X, R represents the alkyl group of amine,and I1 and I2 represent the charge-transfer complexes.The RN�þH2Cl

� formed in step (11) and (12) was

TABLE IVEffect of [Hydroquinone] and Temperature on Rp ofPdII-Catalyzed Polymerization of MMA in DMSO

Medium

Temperature(�C)

[Hydroquinone](mol/dm3)

Rp � 104

(mol dm�3 s�1)

60 Nil 2.68 6 0.0960 0.018 2.10 6 0.0660 0.036 1.51 6 0.0360 0.94 1.76 6 0.0450 Nil 1.80 6 0.0455 Nil 2.55 6 0.0860 Nil 2.68 6 0.0965 Nil 3.20 6 0.11

[MMA] ¼ 3.54 mol/dm3, [BA] ¼ 0.94 mol/dm3, [CCI4]¼ 0.77 mol/dm3, and [PdCl2] � 106 ¼ 8.70 mol/dm3.

TABLE VActivation Parameters for the PdII-Catalyzed Polymerization of MMA Initiated with BA and CCl4 in DMSO Medium

Ea (kJ/mol) Log A DH# (kJ/mol) �DS# (J K�1 mol�1) DG# (kJ/mol)

51.0 6 1.0 11.0 6 0.5 62.0 6 1.0 5.8 þ 0.5 75.0 6 1.0

[MMA] ¼ 3.54 mol/dm3, [BA] ¼ 0.94 mol/dm3, [CCI4] ¼ 0.77 mol/dm3, and [PdCl2] � 106 ¼ 8.70 mol/dm3.

CHARGE-TRANSFER POLYMERIZATION OF MMA 4029

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expected to undergo dissociation in the polar solvent,that is, DMSO, to give RN�þH2Cl

�, which reacted withCCl4 to produce CCI3, as suggested by Takemoto et al.51

According to Scheme 1

½CComplex� ¼ K1½BA�½PdII� from step ð1Þ (18)

By the application of steady-state condition withrespect to [I1], we get

k2½CComplex�½CCI4� ¼ k2½I1� þ k3½I1�½M�

Therefore, [I1] is obtained as

½I1� ¼k2½CComplex�½CCI4�

fk2 þ k3½M�g (19)

On substituting the value of [Ccomplex] in eq. (19),we get

½I1� ¼k2K1½BA�½PdII�½CCI4�

fk2 þ k3½M�g (20)

Similarly, by applying steady-state condition withrespect to [I2], we get

k4½CComplex�½M� ¼ k4½I2� þ k5½I2�½CCI4�

Therefore, [I2] is obtained as

½I2� ¼k4½CComplex�½M�fk4 þ k5½CCI4�g

(21)

On substituting the value of [Ccomplex] in eq. (21),we get

½I2� ¼k4K1½BA�½PdII�½M�fk4 þ k5½CCI4�g

(22)

If a is the fraction of Ccomplex used for the informa-tion of (I1), (1 � a) becomes the fraction used for theformation of I2, and the rate of formation ( _R) is given as

d _R

dt¼ ak3½I1�½M� þ ð1� aÞk5½I2�½CCI4� (23)

On substituting the value of I1 and I2 from eqs.(20) and (22), respectively, in eq. (23), we get

d _R

dt¼ ak2k3K1½PdIII�½BA�½CCI4�½M�

fk2 þ k3½M�gþ ð1� aÞk4k5K1½PdII�½BA�½CCI4�½M�

k4 þ k5½CCI4�� � (24)

If bimolecular termination is assumed, the rate ofinitiation (Ri) may be given as follows:

Ri ¼ 1

k1=2t

ak2k3K1½PdII�½BA�½CCI4�½M�fk2 þ k3½M�g

"

þð1� aÞk4k5K1½PdII�½BA�½CCI4�½M�k4 þ k5½CCI4�

� �#1=2

ð25Þ

where kt is the rate constant for the termination step.The overall Rp can be expressed as

Rp ¼ kp½M�Ri (26)

where kp is the rate constant for the propagationstep. On substituting the values of Ri, we get

Rp ¼kp

k1=2t

½M� ak2k3K1½PdII�½BA�½CCI4�½M�fk2 þ k3½M�g

"

þð1� aÞk4k5K1½PdII�½BA�½CCI4�½M�k4 þ k5½CCI4�

� �#1=2

ð27Þ

When the charge-transfer complex I1 predomi-nates, a may be taken as a unit, and eq. (27) reducesto

Rp ¼kp

k1=2t

ðk2k3K1Þ1=2 ½BA�½PdII�1=2½CCl4�1=2½M�3=2fk2 þ k3½M�g1=2

(28)

Because step 3 is fast and k3[M] k2, Rp may begiven as

Rp ¼kp

k1=2t

ðk2K1Þ1=2½PdII�1=2½BA�1=2½CCI4�1=2½M� (29)

The experiment results were in agreement witheq. (29) under the conditions of [CCI4]/[BA] � 1.When I2 predominates, a may be taken as zero,

and eq. (27) reduces to

Rp ¼kp

k1=2t

ðk4k5K1Þ1=2 ½BA�1=2½PdII�1=2½CCl4�1=2½M�3=2fk4 þ k5½CCI4�g1=2

(30)

Because step (5) is fast and k5[M] k4, Rp may begiven as

Rp ¼kp

k1=2t

ðk4K1Þ1=2½PdII�1=2½BA�1=2½M�3=2 (31)

The rate law in eq. (31) explained the experimentalresults under the conditions [CCI4]/[BA] � 1.

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Thus, the formation of charge-transfer complexesdepended on the ratios [CCI4]/[BA] � 1 and [CCI4]/[BA] � 1, as observed earlier.

CONCLUSIONS

To confirm the validity of the rate law [eq. (31)], theplots of Rp versus [BA]1/2, [PdII]1/2, [MMA], and[CCl4]

1/2 were also obtained. The plot of Rp versus[BA]1/2 (Fig. 5) was found to be linear, passingthrough the origin. The plot of Rp versus [PdII]1/2

(Fig. 6) was linear with an intercept. The Rp value

for the polymerization of MMA in the absence ofPdII under these experimental conditions was alsoobtained and was found to be the same as thatobtained from the intercept of the plot of Rp versus[PdII]1/2. Thus, it was clear that the polymerizationof MMA initiated by BA and CCl4 also occurred inthe presence of catalyst, as reported earlier.52 Therate law [eq. (31)] did not reflect the intercept of theplot of Rp versus [PdII]1/2 (Fig. 6) because the stepsresponsible for the unanalyzed polymerization ofMMA under these experimental conditions were not

Figure 5 Plot of Rp versus [BA]1/2 for the polymerizationof MMA at 60�C in DMSO medium ([CCl4] ¼ 0.77 mol/dm3 and [PdCl2] ¼ 8.70 � 106 mol/dm3).

Figure 6 Plot of log Rp versus [PdCl2]1/2 for the polymer-

ization of MMA at 60�C in DMSO medium ([CCl4] ¼ 0.77mol/dm3 and [PdCl2] ¼ 8.70 � 106 mol/dm3).

Figure 7 Plot of Rp versus MMA for the polymerizationof MMA at 60�C in DMSO medium ([CCl4] ¼ 0.77 mol/dm3 and [PdCl2] ¼ 8.70 � 106 mol/dm3).

Figure 8 Plot of Rp versus [MMA] for the polymerizationof MMA at 60�C in DMSO medium ([CCl4] ¼ 0.77 mol/dm3 and [PdCl2] ¼ 8.70 � 106 mol/dm3).

CHARGE-TRANSFER POLYMERIZATION OF MMA 4031

Journal of Applied Polymer Science DOI 10.1002/app

Page 8: Kinetics and mechanism of the charge-transfer polymerization of methyl methacrylate initiated with n-butyl amine and carbon tetrachloride catalyzed by palladium dichloride

included in the proposed mechanism for the PdII -catalyzed polymerization of MMA.

However, the plot of Rp versus MMA] (Fig. 7) andthe plot of Rp versus [CCl4]

1/2 (Fig. 8) intercepted inthe [MMA] or [CCl4]

1/2 axis. The mechanism of theuncatalyzed polymerization of MMA was explainedon the basis of the formation of a charge-transfer com-plex between amine and MMA that initiated polymer-ization in the presence of CCl4. Thus, it was possiblethat MMA and CCl4 up to these limiting concentra-tions were not free to initiate the polymerization ofMMA under these experimental conditions.

The authors thank William H. Armstrong, ChemistryDepartment, Boston College, Boston, Massachusetts, andGerard T. Caneba, Director of Center for EnvironmentallyBenign Functional Materials, Michigan Technological Uni-versity, Michigan, for their keen interest in the work.

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