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For Peer Review Nanocomposites Based on High Impact Polystyrene/Silver Nanoparticles: Effect of Silver Nanoparticles Concentration on the Reaction Evolution, Morphology and Impact Strength. Journal: Polymer Engineering & Science Manuscript ID: PES-10-0253.R1 Wiley - Manuscript type: Research Article Date Submitted by the Author: n/a Complete List of Authors: Morales, Graciela; Centro de Investigación en Química Aplicada, Polymer Synthesis Soriano, Florentino; Centro de Investigación en Química Aplicada, Plastic Proccesing and Technology Keywords: high performance polymers, nanocomposites, radical polymerization, nanoparticles John Wiley & Sons Polymer Engineering & Science

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Page 1: For Peer Review - CIQA · For Peer Review Nanocomposites Based on High Impact Polystyrene/Silver Nanoparticles: Effect of Silver Nanoparticles Concentration on the Reaction Evolution,

For Peer Review

Nanocomposites Based on High Impact Polystyrene/Silver Nanoparticles: Effect of Silver Nanoparticles Concentration

on the Reaction Evolution, Morphology and Impact

Strength.

Journal: Polymer Engineering & Science

Manuscript ID: PES-10-0253.R1

Wiley - Manuscript type: Research Article

Date Submitted by the Author:

n/a

Complete List of Authors: Morales, Graciela; Centro de Investigación en Química Aplicada, Polymer Synthesis Soriano, Florentino; Centro de Investigación en Química Aplicada, Plastic Proccesing and Technology

Keywords: high performance polymers, nanocomposites, radical polymerization, nanoparticles

John Wiley & Sons

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Nanocomposites Based on High Impact Polystyrene/Silver

Nanoparticles: Effect of Silver Nanoparticles Concentration on the

Reaction Evolution, Morphology and Impact Strength.

F. Soriano-Corral, G. Morales*

Centro de Investigación en Química Aplicada (CIQA), Blvd. Enrique Reyna No.

140, 25253, Saltillo Coahuila, México.

*Presented at the III International Congress of Metallurgy and Materials, Monclova,

Coahuila, México, 2009

∗ To whom correspondence should be addressed

E-mail: [email protected]

Phone: 52- 844-4389830

Fax: 52-844-4389839

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ABSTRACT

Nanocomposites based on HIPS/silver nanoparticles were synthesized via in situ

bulk-suspension polymerization adding a colloidal suspension of silver nanoparticles

(AgNP’s) in styrene from the beginning of the reaction. The concentrations of AgNP’s

in the final nanocomposites were 0, 0.025, 0.10 and 1.0 wt-%. The rate of

polymerization and free radicals concentration were found to decrease with increasing

AgNP’s concentration.

For nanocomposites with 0.025 and 0.10 wt-% of AgNP’s, the phenomenon of phase

inversion (PI) during the mass polymerization occurred within the same range as that

for the blank HIPS. Further, the impact strength of these nanocomposites did not present

any changes as compared to the blank HIPS. However, there was no sign of the PI

phenomenon in the case of 1.0 wt-% of AgNP’s, due to a decrease in the amount of free

and graft polystyrene (PS) onto the rubber chain as the free radicals concentration

diminishes with an increase in AgNP’s. In this case the impact strength doubles the

values of the blank HIPS due to the presence of a interpenetrated polymer network of

crosslinked grafted rubber and PS instead of the formation of a defined morphology.

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INTRODUCTION

The incorporation of different types of nanoparticles into a polymeric matrix has

shown to be a very effective way to generate marked improvements on the physical

and/or mechanical properties of the new polymeric nanocomposite, as compared to the

original pure polymer. These nanoparticles, which by definition should have at least one

dimension in the order of 1-100 nm, may be either organic, such as carbon nanotubes or

inorganic, such as many metallic oxides [1], metallic salts or pure metals [2].

With respect to the incorporation of metallic nanoparticles into different

polymeric matrices, and particularly AgNP´s, there are many reports covering different

methods to prepare the nanocomposites. One of these methods consists in the synthesis

of the polymer in a first step followed by the incorporation of silver ions Ag+, which are

reduced to Ag0 by a reducing agent [3-5], by heating or by γ irradiation. Another

simpler and more widely used method is the incorporation of a dispersion of AgNP´s

into the polymer matrix via melt mixing [6].

Finally, some reports in the literature deal with the in-situ polymerization of

vinyl monomers in the presence of AgNP´s [7-9]. This procedure has shown to be more

effective than melt mixing, since it allows a better distribution and dispersion of the

AgNP´s within the polymer matrix. In this sense, Yeum et al. reported the in situ

suspension polymerization of vinyl acetate [7] and methyl methacrylate [8] in the

presence of AgNP´s, where a decrease in the polymerization rate, due to the presence of

the silver nanoparticles was observed, as well as the formation of AgNP´s agglomerates

in the final nanocomposite. Nonetheless, the in situ polymerization of heterogeneous

systems in the presence of mineral or metallic nanoparticles has been scarcely studied.

High Impact Polystyrene (HIPS), is a heterogeneous system constituted by a

continuous polystyrene phase and a polystyrene-grafted polybutadiene elastomer

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disperse phase in the form of discrete particles. These elastomeric particles are slightly

crosslinked and in many cases they present polystyrene homopolymer occlusions [10,

11]. These morphology structures are the key for obtaining a good balance between the

two opposite characteristic properties of these types of materials, such as rigidity and

toughness.

One of the methods widely used for the synthesis of HIPS is the in situ

polymerization of styrene (St) in the presence of a rubber where the following events

take place: a) at very low St conversion, close to 2%, a phase separation occurs

generating a continuous phase of St/rubber and a discontinuous phase of St/PS. In the

St/rubber phase, the production of PS homopolymer and the graft copolymer (PS

grafted onto the rubber) take place while in the St/PS phase only the PS homopolymer

production occurs. b) As the amount of PS increases and the volume fraction of both

phases are roughly similar, the reaction mixture presents a transition period with co-

continuous structures followed by the phase inversion, where the solution St/PS

becomes the continuous phase containing discrete rubber droplets with a practically

well defined complex morphological structure. c) When the monomer conversion

reaches about 100%, the final material is composed by a dispersion of crosslinked

rubber particles within a matrix of PS so that the elastomeric phase gains integrity,

which prevails during further thermal processing.

It is the purpose of this work to study the effect of the addition of AgNP´s during

the in situ polymerization of HIPS upon the evolution of monomer conversion, the

morphology development and the physical and mechanical properties, especially the

impact strength, of the HIPS/Silver nanocomposites obtained.

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EXPERIMENTAL

Materials

Styrene (industrial grade, from Poliformas de México) was used as received. The

rubber used was a Styrene/butadiene (St/Bd) graded block copolymer (BC) [i.e.:

(butadiene)-(butadiene→styrene)-(styrene)] prepared by anionic polymerization, and

was supplied by Dynasol Elastómeros S.A de C.V (Tampico, México) and with a St:Bd

composition of 30:70 wt-%. The AgNP´s, of 7-28 nm in size, were provided by

Servicios Industriales Peñoles S.A. de C.V. (Torreón, México), as a colloidal

suspension in styrene.

The initiators used were benzoyl peroxide (BPO), for the bulk polymerization

stage (Promotores y Catalizadores Orgánicos de México) and 3, 3-di-(terbutylperoxi)

ethylbutyrate (Lupersol 233 M75), for the suspension polymerization stage (Atofina

Peróxidos de México). The solvents used during the characterization of the obtained

materials, were methyl-ethyl ketone (MEK, industrial grade), toluene and methanol

(Baker); N,N-dimethyl formamide (DMF, analytical grade), tetrahydrofuran (THF) and

osmium tetra-oxide (Sigma-Aldrich). Polyvinyl alcohol, sodium chloride, and nonyl

phenol for the suspension stage, were acquired from Sigma-Aldrich and used as

received

Synthesis of HIPS and HIPS/Silver nanocomposites

Both, HIPS and HIPS/Silver nanocomposites, were synthesized by the bulk-

suspension process in a one gallon capacity stainless steel reactor, with an anchor-

turbine stirrer and at room temperature: i) a fixed 8 wt-% of graded block copolymer

with respect to monomer was dissolved into styrene at a stirring rate of 20 rpm until the

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total dissolution of the copolymer; ii) 0.1 wt-% of BPO and 0.1 wt-% of Lupersol 233

M75 were added to the reaction mixture, the stirring rate and temperature were

increased to 40 rpm and 90ºC, respectively, and the stage of bulk pre-polymerization

took place until the monomer conversion (x) was approximately 0.35-0.40; iii) during

the last stage the suspension medium was added, and the polymerization was carried out

up to total monomer conversion. The suspension medium is constituted by water (2 L),

polyvinyl alcohol (1.7 g), sodium chloride (1.8 g), and nonyl phenol (0.66 g). During

this stage the temperature was increased to 125 °C for a period of 2 hours and

afterwards to 150 °C for another 2 hours until total monomer conversion.

With respect to the silver nanocomposites, the colloidal suspension of silver in

styrene was added from the beginning of the reaction together with the block copolymer

and initiators in the proper amount so as to obtain HIPS/silver nanocomposites with 0,

0.025, 0.1 and 1.0 wt-% silver content in the final product. The nanocomposites thus

obtained were identified as HIPS1 (blank HIPS), HIPS1-0.025, HIPS1-0.1 and HIPS1-1

for the different AgNP’s concentrations used.

Characterization

Monomer Conversion was determined by dissolving a sample of 5 g of HIPS

and/or HIPS/AgNP’s nanocomposite in 25 mL of toluene, followed by precipitation in

250 mL of methanol. In order to obtain solely x to PS, the 8 wt-% of BC added into the

reaction was subtracted from the initial weight value of the sample considered. Thus,

conversion is indicated as the ratio of the amount in g of the precipitated sample, to the

amount in g of the initial sample.

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Grafting degree (GD) and grafting density (Nt*) were determined by dissolving

0.5 g of sample of HIPS and/or HIPS/AgNP’s nanocomposite in 25 ml of a MEK/DMF

mixture (1:1), which is a selective solvent for the PS homopolymer. Thereafter, the non-

soluble BC and BC-g-PS were removed from the PS homopolymer via ultra-

centrifugation at 20,000 rpm and -20 °C. The amounts of insoluble material and of PS

homopolymer were determined gravimetrically. Then, through Eqs. 1-3, GD and Nt*

were calculated [12]. The PS homopolymer was then precipitated from methanol, and

then re-dissolved in THF (HPLC grade) in order to evaluate the average molecular

weight via size exclusion chromatography (SEC).

freetotalgrafted PSPSPS −= (1)

where PSgrafted, PStotal and PSfree represent the amount of grafted PS, the total amount of

grafted and non-grafted PS, and the amount of free PS, in g, respectively. GD was

calculated from:

100*initial

grafted

BC

PSGD = (2)

where PSgrafted is the amount in g of grafted PS and BCinitial is the initial amount in g of

BC in the reaction, which is maintained constant. Nt* was obtained as follows:

=

freePS

BC

initial

grafted

Mn

Mn

BC

PSNt ** (3)

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where PSgrafted is the amount in g of grafted PS, BCinitial is the initial amount in g of BC

in the reaction, BCMn is the number average molecular weight of the BC used, and

freePSMn is the number average molecular weight of the free PS homopolymer.

Morphology of the samples was examined by transmission electron microscopy

(TEM) using a JEOL JSM-7401-FE-SEM in transmission mode. The examined samples

were first cut under cryogenic conditions with a Leica Ultracut microtome with a

diamond knife to a thickness of ca. 70 nm and tinted with osmium tetraoxide. The

average particle diameter (Dp) and the volume fraction of the disperse phase (Φ) were

determined using the Image Analyzer Software “Image Pro 3.0”. In each case,

measurements were made on at least 300 particles at 20,000 X magnification. Impact

strength was determined according to ASTM D-256.

Mathematical Model

The mathematical model used [13] considers two phases in thermodynamic

"instantaneous" balance (i.e., it assumes that the transfer of species between the phases

is much more rapid than the polymerization).

The homogeneous stage before the phase separation is modeled as a particular

case of the heterogeneous model, where there only exists a rubber rich phase. The

kinetic equations considered in the mathematical model are described in Table 1.

In these equations I , St, )(PS s and P represent the initiator, styrene, PSfree

molecules, with s repetitive units, and graft copolymer molecules, respectively. ⋅I , ⋅S ,

⋅0P , y ⋅P represent the primary radicals of the initiator, polystyril radicals and primary

and non-primary radicals of the graft copolymer, respectively and K3, 2, 1, , =n, ms The

residual PB is considered as a particular case of the graft copolymer with no grafts.

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The corresponding material balance for the involved species, based on the

kinetics shown in Table 1, are the following:

Initiator

∑=

−=2,1

d [I]d

}[I]d{

j

jjVkt

V

(4)

1I2 ]I[I][ K= (5)

where the sub-indexes 1 and 2 represent the PS and BC rich phase, respectively and KI

is the initiator partition coefficient.

Monomer

Assuming the hypothesis of long chain, where the monomer is only consumed

during the propagation reaction, the material balance for the monomer is:

∑=

−=2,1

p,d

}d{[St]

j

jjVRt

V

(6)

2,1[St])][P][S( ..pp, =+= jkR jjjj (7)

1St2 ]St[]St[ K= (8)

where jRp, is the polymerization rate in the phase j (j=1, 2) in mol/(m3 s), and KSt is the

monomer partition coefficient.

The differential ordinary equations were solved through the discretization of the

equations with the method of finite differences. After resolving equations (4) to (8), it is

possible to determine the monomer conversion (monomer concentration can be known

from Eq. (6)).

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Afterward, an algorithm that changes the initiator's initial concentration (the rest of

the recipe was used as it was measured experimentally) was employed, to minimize the

difference between the experimental conversion, and the conversion predicted by the

model [14]. Certainly, this initiator's concentration is fictitious, and does not correspond

with the concentration used experimentally. The above-mentioned difference is directly

related to the presence of the AgNP’s

RESULTS AND DISCUSSION

Effect of the incorporation of silver nanoparticles on the HIPS polymerization rate.

Figure 1a shows the variation of x with reaction time during the mass

polymerization stage, for the blank HIPS and for the HIPS/Silver nanocomposites. A

considerable decrease in the x values can be observed as the AgNP’s concentration

increases from 0 to 1 wt-%, and at the same time the average number molecular weight

increases (Fig. 1b). This behavior can be attributed either to a possible physical

interaction between the silver nanoparticles and the free radicals present in the reaction

medium in a similar manner as reported by Yeum et al. [7-9], or to the reduction of Ag+

(adsorbed onto the AgNP´s surface) in the presence of free radicals, as mentioned by

Yanagihara et al. [3, 4] and Kong et al. [5].

In order to corroborate the possible interaction between free radicals and

AgNP’s, the concentration of free radicals was calculated in each case and the plot with

respect to x values is shown in Figure 2. The radical concentration was calculated

through Eq. 9 which was obtained by re-arraigning the expression of monomer

consumption during the propagation step [15], and taking into account the experimental

values of x and reaction time.

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[ ]dt

dx

xkR

p )1(

1*

−= (9)

where: dt

dx is the slope of the curve of conversion as a function of time and pk is

the propagation rate constant T

pk/35577 e100.1 −×= L/mol-s [16].

From Figure 2 it can be observed that the free radicals concentration tends to

decrease with x, this decrease becomes more noticiable after ca. 20 % conversion except

for HIPS1-0.025, where the free radicals concentration remains relatively constant. In

addition, an evident decrease in the free radicals concentration is observed as the

concentration of AgNP’s increases, where the maximum drop for HIPS1-1 is 74%

(6*10-8

mol/L) with respect to the [R*] for the blank HIPS, meanwhile for HIPS1-0.025

and HIPS1-0.1 the decrease in [R*] is in the order of 33 and 22%, respectively.

On the other hand, through the use of the mathematical model described in the

experimental section [13], and using experimental data, the theoretical initiator

concentration that had to be used to obtain the results presented in Figure 1a was

determined (Fig. 3). These results indicated a decrease of 20, 40 and 86 wt-% in the

concentration of BPO when HIPS/Silver nanocomposites with 0.025, 0.10 and 1.0 wt-%

silver were synthesized, respectively. These results are indicative of a decrease in the

free radicals concentration from the initial stage of the reaction, which can be directly

associated with an interaction between the free radicals generated upon BPO

decomposition and AgNP’s. Another possible cause for the decrease in the free radicals

concentration might be attributed to the existence of an interaction between the

surfactant used to disperse the silver nanoparticles in St and the free radicals. With

respect to this surfactant effect, Figure 4 shows the experimental results obtained when

HIPS was synthesized in the presence of a similar surfactant concentration as that used

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for the dispersion of 1 wt-% of silver nanoparticles. As it can be observed, there is a

significative effect on conversion, and more detailed studies are currently carried out in

order to provide a better understanding of this phenomenon.

Effect of the incorporation of silver nanoparticles on the grafting degree (GD) and

the phase inversion (PI) phenomenon.

After assessing the effect of silver nanoparticles on the x values, the effect of

AgNP´s on the grafting degree and on the phase inversion was evaluated. The phase

inversion can be estimated from the plot of grafting degree as a function of time and/or

conversion (Fig. 5) where a sudden decrease in the GD, after reaching a maximum

value, indicates that phase inversion occurred. This behavior can be interpreted as

follows: a) the first stage of the curve relates to a reaction mixture presenting a rubber

rich continuous phase and involves an increase of the amount of graft copolymer during

the reaction, b) it reaches a maximum followed by a decrease in the GD; during this

period a co-continuous phase is present in the reaction mixture and the decrease of the

grafting degree can be attributed to the removal of the PS and graft copolymer occluded

inside some micelles, which at this point can be easily removed, and c) at the end of this

period, the phase inversion occurs and the GD values start to increase due to new

grafting reactions taking place at the occlusions of the rubber particles and the reaction

mixture present a rich continuous PS phase.

Taking into account this situation, from Figures 5a and 5b it can be observed that

the GD of the HIPS/silver nanocomposites is always lower than the value achieved by

the blank HIPS. These results agree with those presented in Figure 2, in the sense that

the presence of the AgNP’s diminishes the free radicals concentration [R*]. Since

freePSMn which can be considered the same as the Mn of the PS grafts [17], remains

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approximately constant for the HIPS/silver nanocomposites, the increment in the

AgNP´s concentration (from 0.025 to 0.1 wt-%) lead to a decrease in the GD as a

consequence of a reduction in the number of grafts per rubber backbone (Nt*) at the PI

phenomenon, as it can be observed from the values reported in Table 2.

Nevertheless, it is apparent that for 0.025 and 0.1 wt-% silver concentration, the

PI during the bulk polymerization stage of the HIPS/silver nanocomposites occurs

within the same range as that reported for the blank HIPS (between 27-34 % monomer

conversion and between 135 -180 min of reaction time). However, there was no sign of

the PI phenomenon for the 1.0 wt-% silver nanocomposite, even for reaction times as

long as 400 min (Fig. 5b); which could be attributed to the very low amount of PS

molecules produced, due to the low concentration of free radicals in the presence of the

higher concentrations of the silver nanoparticles.

The occurrence of the phase inversion phenomenon was validated through the

evolution of the developed morphologies observed by electron microscopy at different

predetermined periods of reaction time (different conversion values). Figures 6a, 6b,

and 6c for 0, 0.025 and 0.10 wt-% silver concentration, show the presence of extended

structures constituted by PS stabilized by the graft copolymer BC-g-PS formed in situ at

x = 0.19, 0.26 and 0.23, respectively. The rubber phase shows the presence of micelles

structures, which according to Sardelis [18], are due to the interfacial interaction

between the BC used as the precursor rubber and the PS generated during the reaction,

which can be solubilized into the PS domains of the block copolymer as a consequence

of a very similar number average molecular weight of the PS in the BC (BC

PSMn ) and

the freePSMn (for all nanocomposites

freePSMn = 80-100 kg/mol and BC

PSMn = 80

kg/mol).

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As monomer conversion reaches 0.28, 0.33 and 0.28 for HIPS with 0, 0.025 and

0.1 wt-% of silver nanoparticles, respectively, the micelles give place to lamellar

structures, which are indicative of a co-continuous phase. Finally, at x = 0.34, 0.36 and

0.35 for the systems mentioned above, core-shell morphologies are observed, which

indicate that the phase inversion has occurred.

On the other hand, in Figure 6d, for a silver concentration of 1.0 wt-%, only the

first two stages are observed and no formation of the core-shell structure occurs, at least

at the evaluated periods of time, corroborating the results presented in Figure 5, in the

sense that there is no phase inversion at this high silver concentration due to the low

amount of PS formed (x = 0.26 as compared to 0.34, 0.36 and 0.35 for HIPS1, HIPS-

0.025 and HIPS-0.10).

Effect of the incorporation of silver nanoparticles on the impact strength as a

consequence of the morphology developed.

Figure 7 shows the micrographs of the blank HIPS (Fig. 7a) and the HIPS/silver

nanocomposites with 0.025 and 0.10 wt-% silver concentration (Figs. 7b and 7c),

respectively. All the micrographs correspond to the final product, where core-shell

morphologies can be observed; as well as that of the nanocomposite with 1.0 wt-%

silver concentration (Fig. 7d), where an undefined morphology is present, which is

precisely related to the fact that the bulk polymerization stage did not reach the

necessary conversion value for the phase inversion to occur and for the core-shell

morphology to be established.

With respect to the parameters that define the morphology and influence the

impact properties, the average particle diameter (Dp) and the volume fraction of the

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disperse phase (Φ) shown in Table 3, present a slight increase with the silver

nanoparticles concentration. As the grafting degree at the phase inversion point

decreases with the silver nanoparticles concentration (Fig. 5), the interfacial tension

increases, giving rise to a larger particle size (157 and 140 nm, as compared to 134 nm

for the blank HIPS). Nevertheless, the results for impact strength are relatively similar

for the blank HIPS and the nanocomposites with 0.025 and 0.10 wt-% silver, whereas, it

doubled for the nanocomposite with 1.0 wt-% silver. This behavior is due to the fact

that the amount of PS homopolymer formed in the 1.0 wt-% silver nanocompósito is

low (26% conversion) and the system, made up of mainly rubber phase when phase

inversion would occur (which in this case does not take place), tends to form an

interpenetrated polymer network of crosslinked rubber grafted with PS, in agreement

with reports by Amos [19] and Keskkula [20] in the absence of agitation.

CONCLUSIONS

It was found that silver nanoparticles strongly interfered with the bulk

polymerization reaction of HIPS, killing the free radicals and decreasing the rate of

polymerization and conversion values.

For 0.025 and 0.10 wt-% silver concentration, the phase inversion during the

bulk polymerization stage of the HIPS/silver nanocomposites occurred within the same

range as that for the blank HIPS. However, there was no sign of phase inversion for the

1.0 wt-% silver nanocomposite, even for reaction times as long as 400 min. The above-

mentioned effect shifted the phase inversion point to longer reaction times.

The impact strength of those nanocomposites with 0.025 and 0.10 wt-% silver

that is, the systems that presented the phase inversion phenomenon, remained similar as

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that of the blank HIPS, but it almost doubled for the nanocomposite with 1.0 wt-%

silver which showed no phase inversion.

ACKNOWLEDGEMENT

The authors would like to thank Pablo Acuña, Mario Palacios, Guadalupe

Mendez and María Luisa López for their technical support and Dr. René D. Peralta

Rodríguez for reviewing the manuscript.

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3038–3041 (1999.)

4. N. Yanagihara, Y. Tanaka, H. Okamoto, Chemistry Letters, 20, 796-797 (2001).

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Rodríguez, R. Guedea-Miranda, J. Appl. Polym. Sci., 111, 953–962 (2009).

7. J.H. Yeum, Q. Sun, Y. Deng, Macromolecular Materials and Engineering, 290,

78-84 (2005).

8. J. H. Yeum, H.D. Ghim, Y. Deng, Fibers and Polymers, 6, No.4, 277-283 (2005).

9. J.H. Yeum, E.M. Lee, J.D. Yun, J.H. Choi, H.D. Ghim, H.M. Jung, B.C. Ji, Int.

Fed. Med. Biol. Eng. Proc. 14 (Part 5), 3333 (2007)

10. G.E. Molau, H. Keskkula, J. Polym. Sci., Part A-1, 4, 1595-1607 (1966).

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11. M. Fisher, G.P. Hellman, Macromolecules, 29, 2498-2509 (1996).

12. A. Gasperowicz, W. Laskawski, J. Polym. Sci., 14, 2875-2886 (1976).

13. G.R. Meira, C.V. Luciani, D.A. Estenoz, Macromolecular Reaction Engineering,

1, 25-39 (2007).

14. J.A. Nelder; R. Mead, Comput. J., 7, 308 (1965).

15. G. Odian, “Principles of Polymerization” Wiley Intersciences, 3rd

Edition (1991)

16. D. Estenoz, G. Meira, N. Gómez, H. Oliva, AIChE J., 44, 427 (1998).

17. E.M. Tarkova, V.A. Khokhlov, S.B. Guseva, Y.M. Gorfunkel, E.N. Filimonova,

International Polymer Science and Technology, 15 (8), 65-67 (1988).

18. H. Sardelis, H.J. Michels, G. Allen, Polymer, 28, 244-250 (1987).

19. J.L Amos, Polym. Eng. And Sci., 14,1 (1974).

20. H. Keskkula, Plastics and Rubber: Materials and Applications. May., 6 (1979).

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Evolution of a) monomer conversion vs reaction time and b) free PS Mn as a function of monomer

conversion for blank HIPS (HIPS1) and HIPS/silver nanocomposites (error bars 5%).

43x20mm (600 x 600 DPI)

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Figure 2. Evolution of free radicals concentration with monomer conversion for blank HIPS (HIPS1) and HIPS/Silver nanocomposites.

64x58mm (600 x 600 DPI)

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Figure 3. Calculation of the initial initiator concentration through adjusting the experimental conversion values vs reaction time data by using a mathematical model, for a) blank HIPS (HIPS1)

and for b), c) and d) HIPS/silver nanocomposites with 0.025, 0.10 and 1.0 wt-% of silver, respectively.

171x148mm (600 x 600 DPI)

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Figure 4. Plot of monomer conversion as a function of reaction time for blank HIPS(HIPS1), HIPS with 1 wt-% silver (HIPS1-1) and HIPS with 0.2 wt-% surfactant alone (HIPS1-0.2D2) used to

disperse silver nanoparticles (error bars 5 %). 59x50mm (600 x 600 DPI)

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Figure 5. Plot of GD as a function of a) monomer conversion and b) reaction time, for blank HIPS (HIPS1) and HIPS/Silver nanocomposites.

75x38mm (600 x 600 DPI)

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Figure 6. Developed morphology structures before (left column), during (middle column) and after (right column) the phase inversion point during the synthesis of HIPS/Silver nanocomposites; a)

HIPS1, b) HIPS-0.025, c) HIPS-0.10 and d) HIPS-1.0 (scale bar 1µm). 150x189mm (300 x 300 DPI)

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Figure 7. Micrographs of the morphology structure for (a) blank HIPS (HIPS1) and (b, c, d) HIPS/Silver nanocomposites with 0.025, 0.10 and 1.0 wt-% silver, respectively (scale bar 1 µm).

150x158mm (300 x 300 DPI)

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Table 1. Kinetic equations considerd in the mathematical model according to [13].

Chemical Initiation

⋅⋅

⋅⋅

→+

→+

0

1

PPI

SStI

2II

i2

i1

d

k

k

k

Thermal Initiation ⋅

→ 1S2St3 i0k

Propagation

⋅⋅

⋅⋅

⋅⋅

→+

→+

→+

n

k

n

k

s

k

s

PStP

PStP

SStS

p

p0

p

1

10

1

Transfer to Monomer

⋅⋅

⋅⋅

⋅⋅

+→+

+→+

+→+

1'

0

1

1S

SPStP

SPStP

S)(PStS

fm

fm

fm

k

kn

ks s

Transfer to the rubber

⋅⋅

⋅⋅

+→+

+→+

0

0S

PPPP

P)(PPS

fg

fg

k

n

k

n n

Termination by coupling

PSP

)(PSS

tc

tc

S

→+

→+

⋅⋅

⋅⋅

knm

knns s

PSP tc''

0 →+⋅⋅ kn

PPP tc''

0 →+⋅⋅ kn

PPP tc'

→+⋅⋅ kmn

PPP tc'

00 →+⋅⋅ k

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Table 2. Grafting Density (Nt*) and Number Average Molecular Weight ( Mn ) at the

phase inversion point for the synthesized blank HIPS and HIPS/silver nanocomposites.

HIPS1 HIPS-0.025 HIPS-0.10 HIPS-1.0

Silver content (wt-%) 0.00 0.025 0.10 1.00

Grafting density (Nt*) 1.20 0.89 0.80 NA

Mn PS free at PI (kg/mol) 81 101 90 NA

Mn PS free at PI: Average Number Molecular Weight of the PS matrix at the phase inversion point.

NA: Not applicable (the phase inversion was not reached).

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Table 3. Grafting degree (GD), average particle diameter (Dp), volume fraction of the

disperse phase (Φ) and impact strength (IS) of the synthesized HIPS and HIPS/silver

nanocomposites.

Materials Parameter

HIPS1 HIPS-0.025 HIPS-0.10 HIPS-1.0

GD (%) 133 98 78 ND

Dp(nm) 134 157 140 ND

Φ 0.23 0.24 0.22 ND

IS (J/m) 37 34 33 66

ND: Not determined due to the absence of an established morphology

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FIGURE CAPTION

Figure 1. Evolution of a) monomer conversion vs reaction time and b) free PS Mn as a

function of monomer conversion for blank HIPS (HIPS1) and HIPS/silver

nanocomposites (error bars 5%).

Figure 2. Evolution of free radicals concentration with monomer conversion for blank

HIPS (HIPS1) and HIPS/silver nanocomposites.

Figure 3. Calculation of the initial initiator concentration through adjusting the

experimental conversion values vs reaction time data by using a mathematical model,

for a) blank HIPS (HIPS1) and for b), c) and d) HIPS/silver nanocomposites with 0.025,

0.10 and 1.0 wt-% of silver, respectively.

Figure 4. Plot of monomer conversion as a function of reaction time for blank

HIPS(HIPS1), HIPS with 1 wt-% silver (HIPS1-1) and HIPS with 0.2 wt-% surfactant

alone (HIPS1-0.2D2) used to disperse silver nanoparticles (error bars 5 %).

Figure 5. Plot of GD as a function of a) monomer conversion and b); reaction time, for

blank HIPS (HIPS1) and HIPS/silver nanocomposites.

Figure 6. Developed morphology structures before (left column), during (middle

column) and after (right column) the phase inversion point during the synthesis of

HIPS/silver nanocomposites; a) HIPS1, b) HIPS-0.025, c) HIPS-0.10 and d) HIPS-1.0.

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Figure 7. Micrographs of the morphology structure for (a) blank HIPS (HIPS1) and (b,

c, d) HIPS/silver nanocomposites with 0.025, 0.10 and 1.0 wt-% silver, respectively.

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Corrections to the article entitled: “Nanocomposites Based on High Impact

Polystyrene/Silver Nanoparticles: Effect of Silver Nanoparticles Concentration on

the Reaction Evolution, Morphology and Impact Strength” by F. Soriano-Corral, G.

Morales*

We read carefully the article and took into account the editorial changes required as well

as the comments from the reviewers which are indicated in the text as follows:

Answers to the reviewer 1:

1) and 3) We included in the experimental section more discussion about the

mathematical model described by Luciani and the corresponding reference (reference

13) written in English. In this case the complete mathematical model was not included

as it is not our intention to describe in this paper the mathematical model and its

development but we included the material balance for the initiator and the monomer in

order to determine the conversion behavior and then the initial BPO concentration

during the HIPS/Silver nanoparticles composite synthesis. The model herein was used

only as a tool in order to describe the behaviors observed in the presence on AgNP’s.

It was included as well as the reference (reference 15) that was used in order to obtain

equation 4. With respect to this last equation we describe herein all the mathematical

arrangements in order to reach equation 4 but we consider that it is not necessary to

include all of them in the article text.

From the experimental data the [M*] was obtained as a function of X, where the rate of

polymerization is given by Eq. 1 (Odian, 1991):

*]][[][

MMKdt

Mdp=−

Eq. 1

Where [M] represents the monomer conversion, [M*] the concentration of free radicals and

kp the polymerization rate constant. It is known from the experimental data that:

0

0

][

][][

M

MMX

−=

Eq. 2

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where, X corresponds to monomer conversion and [M]0 represents the concentration of

initial monomer. By re-arrangement of Eq.2,

][][][ 00 MMXM −= Eq. 3

Applying d/dt on Eq. 3:

dt

Md

dt

dXM

][][

0−=

Eq. 4

Substitution of Eq. 1 into Eq. 4 yields:

*]][[][ 0 MMKdt

dXM p=

Eq. 5

By rearrangement of Eq.5, [M*] can be calculated as (Equation 4 in the article):

dt

dX

XKM

p )1(

1*][

=

Eq. 6

Where the dX/dt was experimentally obtained from the derived polynomial function that

describes the evolution of X as a function of time, with a correlation equal to 0.99, where

the T

pk/35577 e100.1 −

×= is given in L/mol-s. In this case we included in the text the

corresponding reference (Reference 16)

2) On page 8, the observation made by the reviewer was wrong, the average molecular

weight increases with increasing silver nanoparticles concentration, there was a mistake

not in the text but in the corresponding Figure and it was properly changed (see Figure

1).

3) It is correct, the maximum decrease is 74% for HIPS1-1 with respect to blank HIPS.

The correction was made in the text.

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4) In the case of HIPS with 1% AgNP’s, the values of impact strength are due

principally to the fact that in this case, the phase inversion was not reached at the

evaluated periods of time so that as the sample contains less of the PS brittle portion and

mostly PB at this point (x=0.27), the morphological final structure (core-shell) is not

formed and the rubber phase becomes crosslinked. It must be noted that in all the

HIPS/Silver nanoparticles composites synthesized (final product), the amount of rubber

is the same (8 wt-%).

5) The manuscript was now corrected by an English speaking people, so we hope there

are no more mistakes through out the text

Answers to the reviewer 2:

1) We tried to make the abstract more concise but it couldn´t be shorten so much.

2) The words “silver” and “High Impact Polystyrene” weren´t added to the keywords

list, because it didn´t exist in the manuscript center glossary.

3) More references were included about the in situ polymerization of vinyl monomers

(references 7-9) but it must be pointed out that the in situ polymerization of

heterogeneous systems in the presence of mineral or metallic nanoparticles has been

scarcely studied as it is mentioned in the introduction section.

4) We revised the introduction paragraph

5) The core shell morphologies are very well defined but we agree with the reviewer

that the “interprenetrated network” is not well defined (instead it is in accord with the

explanation given for reviewer 1, answer 4) so we changed the expression to “semi-

interpenetrated polymer network of crosslinked rubber grafted with PS” in order to be

more clear about this behavior that was previously described by Amos (1974) and

Keskkula (1979), both of them included in the text and in the references.

After considering all the corrections mention below it is our hope that the article

can be published without any further corrections. Thank you in advance.

G. Morales, F. Soriano-Corral

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