Dewaele M. 2009 Dent. Mater. Influence of Curing Protocol on Selected Properties of Light Curing Polymers Degree of Conversion, Volume Contraction, Elastic Modulus, And Glass Transition

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  • 8/2/2019 Dewaele M. 2009 Dent. Mater. Influence of Curing Protocol on Selected Properties of Light Curing Polymers Degree

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    d e n t a l m a t e r i a l s 2 5 ( 2 0 0 9 ) 15761584

    a v a i l a bl e a t w w w . s c i en c e d i r e c t . co m

    j o u r n a l h o m e p a g e : w w w . i n t l . e l s e v i e r h e a l t h . c o m / j o u r n a l s / d e m a

    Influence of curing protocol on selected properties of

    light-curing polymers: Degree of conversion, volume

    contraction, elastic modulus, and glass transition

    temperature

    Magali Dewaele a,b,, Erik Asmussen c, Anne Peutzfeldt c, E. Christian Munksgaard c,Ana R. Benetti d, Gauthier Finn a, Gatane Leloup e, Jacques Devaux a

    a Laboratory of Chemistry and Physics of High Polymers, Universit catholique de Louvain, Louvain-la-Neuve, Belgiumb Department of Prosthodontics, School of Dentistry and Stomatology, Universit catholique de Louvain, Brussels, Belgiumc Department of Dental Materials, School of Dentistry, University of Copenhagen, Copenhagen, Denmarkd Department of Operative Dentistry, Endodontics and Dental Materials, Bauru School of Dentistry,

    University of So Paulo, Bauru SP, Brazile Department of Operative Dentistry, School of Dentistry and Stomatology, Universit catholique de Louvain,

    Brussels, Belgium

    a r t i c l e i n f o

    Article history:

    Received 28 October 2008

    Received in revised form

    3 August 2009

    Accepted 4 August 2009

    Keywords:

    Light-curing

    Soft-start

    Degree of conversion

    Volume contraction

    Elastic modulus

    Glass transition temperature

    Dental materials

    Dental polymers

    Resin composite

    a b s t r a c t

    Objectives. The purpose of this study was to investigate the effect of light-curing protocol on

    degree of conversion (DC), volume contraction (C), elastic modulus (E), and glass transition

    temperature (Tg) as measured on a model polymer. It was a further aim to correlate the

    measured values with each other.

    Methods. Different light-curing protocols were used in order to investigate the influence of

    energy density (ED), power density (PD), and mode of cure on the properties. The modes

    of cure were continuous, pulse-delay, and stepped irradiation. DC was measured by Raman

    micro-spectroscopy. C was determined by pycnometry and a density column. E was mea-

    sured by a dynamic mechanical analyzer (DMA), and Tg was measured by differential

    scanning calorimetry (DSC). Data were submitted to two- and three-way ANOVA, and linear

    regression analyses.

    Results. ED, PD, and mode of cure influenced DC, C, E, and Tg of the polymer. A significant

    positive correlation was found between ED and DC (r = 0.58), ED and E (r = 0.51), and ED and

    Tg (r = 0.44). Taken together, ED and PD were significantlyrelated to DC and E. The regression

    coefficient was positive for ED and negative for PD. Significant positive correlations were

    detected between DC and C (r = 0.54),DC and E (r = 0.61),andDC and Tg (r = 0.53). Comparisons

    between continuous andpulse-delay modes of cure showed significant influence of mode of

    cure: pulse-delay curing resulted in decreased DC, decreased C, and decreased Tg. Influence

    of mode of cure, when comparingcontinuous andstep modes of cure, wasmore ambiguous.

    Corresponding author at: Cliniques universitaires St-Luc, Ecole de mdecine dentaire et de stomatologie, avenue Hippocrate 10/bte5732,1200 Bruxelles, Belgium. Fax: +32 2 764 90 62.

    E-mail address: [email protected](M. Dewaele).0109-5641/$ see front matter 2009 Academy of Dental Materials. Published by Elsevier Ltd. All rights reserved.

    doi:10.1016/j.dental.2009.08.001

    mailto:[email protected]://dx.doi.org/10.1016/j.dental.2009.08.001http://dx.doi.org/10.1016/j.dental.2009.08.001mailto:[email protected]
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    d e nt a l m a t e r i a l s 2 5 ( 2 0 0 9 ) 15761584 1577

    A complex relationship exists between curing protocol, microstructure of the resin and the

    investigated properties. The overall performance of a composite is thus indirectly affected

    by the curing protocol adopted, and the desired reduction ofC may be in fact a consequence

    of the decrease in DC.

    2009 Academy of Dental Materials. Published by Elsevier Ltd. All rights reserved.

    1. Introduction

    It is widely admitted that the influence of photopolymeriza-

    tion on the final properties of resin composites is of major

    importance. Literature [15] has shown that the properties

    of a light-curing resin composite are mainly influenced by

    the amount of energy delivered during irradiation. The total

    amount of energy per unit area, the so-called energy density

    (ED) is the product of the power per unit area (power density:

    PD) by the duration of irradiation (curing time). For a given ED,

    different combinations of PD and curing time may be used to

    cure the composite materials.

    Contradictory data have been published about the effectof variation in the combination of PD and exposure duration.

    Contrary to the total energy concept (referring to the reci-

    procity between power density and exposure duration), recent

    studies have demonstrated that for each ED, the combination

    of PD and exposure duration had a significant influence on

    degree of conversion,on extentof crosslinking andon physical

    properties [3].

    The light from dental photocuring devices can be deliv-

    ered in different modes: continuous, pulse-delay or stepped

    irradiation. The continuous mode delivers the same PD

    uninterruptedly throughout the entire exposure period. The

    pulse-delay mode initiates cure by a short flash of light fol-

    lowed by a delay of one or more minutes before the finalpolymerization is performed. In the step-cure mode, a low PD

    is used during thefirst part of the polymerization period and a

    higherPD is used towards theend of theirradiation. Thepulse-

    delay and the stepped mode of cure are so-called soft-start

    modes of cure.

    The soft-start modes of cure were introduced with the

    purpose of slowing down the polymerization reaction, which

    is inevitably accompanied by contraction of the material [6].

    Soft-start curing modes result in significantly reduced gap

    formation in cavity margins because of contraction stress

    relief by flow [714]. However, few studies have evaluated the

    effect of curing mode on the volume contraction itself. Some

    authors found soft-start curingto combine increased marginalintegrity with identical [15] or superior physical properties

    when compared to continuous curing [11]. Adversely, soft-

    start techniques have resulted in either decreased degree of

    conversion (DC) as compared to the one of the continuous

    mode, or similar DC but at the same time in polymers of lower

    crosslink density, and thus of decreased mechanical proper-

    ties [1619].

    As hypothesized in a previous study [17], it is conceivable,

    that the different light-curing modes will lead to polymers of

    different network structure, even though the DC is the same.

    The DC does not give a complete characterization of polymer

    structures because polymers of similar DC may have different

    extent of crosslinking [1618]. This may occur as a result of

    the soft-start modes of cure (pulse or step-cure mode) prob-ably due to the formation of relatively fewer growth centers,

    which may result in a more linear polymer, with decreased

    crosslinking. The increased concentration of crosslinks has

    been associated with increased physical properties and sta-

    bility of polymers [16,20].

    It has been shown [20,21] that the extent of crosslinking

    of a polymer may be assessed by measurements of the glass

    transition temperature (Tg). Tg is an important parameter for

    polymer characterization as it marks a region of dramatic

    changes in the physical properties of the polymer. The Tg-

    value represents the temperature region at which the polymer

    is transformed from a glassy material into a rubberlike one.

    Crosslinking reduces molecular mobility and thus gives riseto increased apparent Tg [22]. The curing procedure may influ-

    ence the regularity of the network and the crosslink density,

    and this may be reflected in the Tg.

    To improve the overall performance of light-cured dental

    polymers, a detailed understanding of the effects of mode of

    irradiation on properties and how these properties are related

    to each other is necessary. The present study represents an

    effort in this direction. It was the aim of the study to deter-

    mine, on the same experimental dental polymer, degree of

    conversion, volume contraction, elastic modulus, and glass

    transition temperature in relation with the curing protocol.

    The workinghypothesis was that the total energy density and,

    for each level of ED, that the power density and the modeof cure, have an effect on the selected properties. A further

    aim was to attempt to correlate the data obtained for these

    properties with each other. In a further study [23] the data are

    correlated with softening and elution of monomers in ethanol

    as measured on identical polymers subjected to the same cur-

    ing protocols.

    2. Materials and methods

    The experimental resin used in this study was com-

    posed of Bis-GMA (bisphenol-A-glycidyl dimethacrylate,

    Heraeus Kulzer, Germany) and TEGDMA (95% triethyleneg-lycol dimethacrylate, Aldrich, Belgium) at a molar ratio of

    1:1, along with 0.5wt% CQ (97% camphorquinone, Aldrich) as

    visible light initiator and 0.5 wt% DABE (97% N,N-dimethyl-p-

    aminobenzoic acid ethylester, Aldrich) as co-initiator.

    Cylindrical specimens were fabricated in a brass mold.

    The specimens were covered on both sides with a transpar-

    ent film (Mylar) and irradiated from one side only. Specimens

    used for degree of conversion and contraction measurements

    (height: 2 mm, diameter: 5 mm) and specimens used for elas-

    tic modulus and glass transition temperature measurements

    (height: 1 mm, diameter: 3 mm) were of different size as

    dictated by the dimension requirement of the measuring

    device.

    http://dx.doi.org/10.1016/j.dental.2009.08.001http://dx.doi.org/10.1016/j.dental.2009.08.001http://dx.doi.org/10.1016/j.dental.2009.08.001http://dx.doi.org/10.1016/j.dental.2009.08.001http://dx.doi.org/10.1016/j.dental.2009.08.001http://dx.doi.org/10.1016/j.dental.2009.08.001http://dx.doi.org/10.1016/j.dental.2009.08.001http://dx.doi.org/10.1016/j.dental.2009.08.001http://dx.doi.org/10.1016/j.dental.2009.08.001http://dx.doi.org/10.1016/j.dental.2009.08.001http://dx.doi.org/10.1016/j.dental.2009.08.001http://dx.doi.org/10.1016/j.dental.2009.08.001http://dx.doi.org/10.1016/j.dental.2009.08.001
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    Table 1 Investigated curing protocols. Degree of conversion (DC), volume contraction (C), elastic modulus (E), and glass transition t

    Irradiation (1st step)time @ power density

    Delay (min) Irradiation (2nd step)time @ power density

    Energy density(mJ/cm2)

    DC (%) C (%)

    Continuous

    A 40 s @ 150 mW/cm2 6000 69 (2.9) 7.52 (0.04)

    B 20 s @ 300 mW/cm2 6000 68 (2.6) 7.49 (0.02)

    C 10 s @ 600 mW/cm2 6000 65 (0.5) 7.54 (0.15)

    D 80 s @ 150 mW/cm2 12000 71 (2.0) 7.63 (0.15)

    E 40 s @ 300 mW/cm2 12000 72 (3.3) 7.62 (0.15)

    F 20 s @ 600 mW/cm2 12000 69 (7.4) 7.69 (0.06)

    Pulse-delay

    G 1 s @ 300 mW/cm2 1 19 s @ 300 mW/cm2 6000 62 (1.5) 7.35 (0.28)

    H 1 s @ 300 mW/cm2 2 19 s @ 300 mW/cm2 6000 63 (0.4) 7.26 (0.27)

    I 1 s @ 300 mW/cm2 3 19 s @ 300 mW/cm2 6000 61 (1.3) 7.30 (0.06)

    J 1 s @ 300 mW/cm2

    1 39 s @ 300 mW/cm2

    12000 67 (1.8) 7.35 (0.24)K 1 s @ 300 mW/cm2 2 39 s @ 300 mW/cm2 12000 64 (3.2) 7.31 (0.34)

    L 1 s @ 300 mW/cm2 3 39 s @ 300 mW/cm2 12000 66 (1.8) 7.47 (0.31)

    M 1 s @ 600 mW/cm2 1 9 s @ 600 mW/cm2 6000 60 (4.0) 7.40 (0.17)

    N 1 s @ 600 mW/cm2 2 9 s @ 600 mW/cm2 6000 61 (3.9) 7.29 (0.20)

    O 1 s @ 600 mW/cm2 3 9 s @ 600 mW/cm2 6000 61 (1.1) 7.57 (0.08)

    P 1 s @ 600 mW/cm2 1 19 s @ 600 mW/cm2 12000 65 (2.5) 7.43 (0.06)

    Q 1 s @ 600 mW/cm2 2 19 s @ 600 mW/cm2 12000 65 (0.8) 7.42 (0.08)

    R 1 s @ 600 mW/cm2 3 19 s @ 600 mW/cm2 12000 65 (4.2) 7.58 (0.09)

    Step

    S 10 s @ 300 mW/cm2 5 s @ 600mW/cm2 6000 61 (3.3) 7.54 (0.06)

    T 10 s @ 150 mW/cm2 15s @ 300mW/cm2 6000 64 (0.7) 7.61 (0.02)

    U 10 s @ 150 mW/cm2 7.5s @ 600 mW/cm2 6000 69 (5.0) 7.49 (0.11)

    V 10 s @ 300 mW/cm2 15s @ 600mW/cm2 12000 71 (2.6) 7.63 (0.02)

    X 10 s @ 150 mW/cm2 35s @ 300mW/cm2 12000 72 (1.6) 7.46 (0.26)

    Y 10 s @ 150 mW/cm2 17.5s @ 600mW/cm2 12000 69 (2.7) 7.73 (0.03)

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    The light-curing protocols shown in Table 1 were followed

    in order to investigate the influence of the energy density, the

    power density, and the mode of cure on the selected proper-

    ties. For the pulse-delay groups, different delay periods were

    used. Additionally, a short initial period of light exposure (1 s)

    was adopted in the first cycle of light-activation because this

    pulse-delay protocol demonstrated previously to reduce gaps

    in the margins of restorations [14]. For the step-cured groups,the use of higher or lower power densities in the beginning

    or in the end of the irradiation was also examined. The dif-

    ferent power densities were obtained by changing the voltage

    delivered to the quartztungstenhalogen curing unit (Optilux

    501, Kerr Corporation, Danbury, CT, USA), by means of a vari-

    able external resistor connected in series (Autralec Brussels,

    Belgium). The desired power densities were monitored with

    a dental curing radiometer (Optilux model 100, Demetron

    Research Corporation/Kerr, Danbury, CT, USA).

    2.1. Degree of conversion (DC)

    TheDC was measured bymeansof Raman micro-spectroscopy

    (Labram, Dilor Horiba-Jobin-Yvon, Lille, France) as previously

    described [6]. In brief, this method allows the evaluation of the

    DC by comparing the vibration bands of the residual unpoly-

    merized methacrylate C C stretching mode at 1640 cm1 to

    the aromatic C C stretching mode at 1610 cm1 used as inter-

    nal standard. The unpolymerized resin was used as reference

    (DC=0).

    Three specimens were fabricated for each experimental

    condition and were stored dry at ambient temperature for at

    least 7 days. A notch was made to identify the side irradiated

    by the light. For each specimen, the irradiated side was facing

    the microscope objective. The degree of conversion was deter-

    mined at three locations and the mean value calculated for

    each of the three specimens. From these three mean values a

    new mean value was calculated.

    2.2. Volume contraction (C)

    The same three samples of cured resin used to determine

    the DC were used to measure the volume contraction. The

    contraction (V/Vunpolymerized) was obtained by comparing

    unpolymerized (dunpolymerized) to polymerized (dpolymerized)

    specific masses and expressed as volume percent according

    to the formula [6]:

    V

    Vunpolymerized(%) = 100

    dpolymerized dunpolymerized

    dpolymerized

    The specific mass of uncured resin (liquid) was measured

    by pycnometry. The specific mass of the cured resin (solid)

    was determined by a density column (Daventest Instruments,

    Fareham, UK). In the density column technique, samples were

    immersed in a liquid having a densitygradient. The liquid was

    prepared by mixing potassium bromide and water to reach

    an appropriate density range (between 1.00 and 1.41), which

    depends on the anticipated spread of densities in the samples

    to be measured. The height at which samples stabilized was

    observed and compared with calibrated marker floats [6].

    2.3. Elastic modulus (E)

    Elastic modulus of the dental resins may be measured in ten-

    sion, in flexion, or in shear. In this work, due to the very low

    dimensions of the samples, shear modulus was measured by

    use of a dynamic mechanical analyzer (DMA/SDTA861e, Met-

    tler Toledo, Greifensee, Switzerland). Tensile and shear elastic

    modulus may be designated E and G, respectively. E and G arelinked by the Poisson coefficient according to E =2(1+)G.

    For most isotropic materials, is between 0.2 and 0.5. For such

    materials, E is equal to 2.4 to 3 times G. In the present study,

    the measured values ofG were multiplied by 3 to give E.

    Six specimens were fabricated for each experimental con-

    dition and were stored dry at ambient temperature for at least

    7 days before testing. Two identical specimens were placed

    symmetrically between shear clamps. Samples were analyzed

    in shear mode isothermally at 25 C with a preloading force of

    6 N, a displacement amplitude limit of 0.5m, and a frequency

    of 1Hz.

    2.4. Glass transition temperature (Tg)

    The glass transition temperature (Tg) was measured by Differ-

    ential Scanning Calorimetry (DSC822e/HSS7, Mettler Toledo,

    Greifensee, Switzerland). Four of the six samples of cured

    resin used to determine the modulus were used to measure

    the glass transition temperature. Samples were analyzed at a

    heating rate of 10 C/min from 20 C to 70 C under nitrogen.

    The Tg-value represents the temperature region at which

    (the amorphous phase of) a polymer is transformed from a

    brittle, glassy material into a tough rubberlike one. This effect

    is accompanied by a step-wise increase of the DSC heat

    flow/temperature or specific heat/temperature curve. Thus, Tgwas determined from an endothermic parallel transition of

    the baseline [22].

    An exothermic reaction occurred within the Tg region and

    superimposes on the heat flow shift. This exothermic reac-

    tion is due to post-polymerization occurring due to increased

    chain-segment mobility in the polymer at temperaturesabove

    Tg. The temperature at the intersection of the extrapolated

    heat flow curve, at the low temperature end, and the tangent

    of the ascending curve, at the inflection point, was taken as

    the Tg (Fig. 1).

    2.5. Statistical methods

    Bartletts testwas used to check the homogeneity of variances.

    The data were submitted to analysis of variance (ANOVA), to

    Newman Keuls multiple comparison test and to linear regres-

    sion analysis. The level of significance was defined as = 0.05.

    3. Results

    The degree of conversion (DC), the volume contraction (C), the

    elastic modulus (E) and the glass transition temperature (Tg)

    for each of the 24 irradiation conditions are shown in Table 1.

    For an energy density (ED) of 6000mJ/cm2, one-way ANOVA

    showed statistically significant differences between the 12

    mean values of DC, E and Tg, respectively. However, when

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    Fig. 1 Heat flow shift of the experimental dental polymer.

    Endothermic parallel transition of the baseline and glass

    transition temperature. Superimposed exothermic reaction.

    ED was 12000mJ/cm2, a significant difference was detected

    only for DC. Regarding the volume contraction, no statisti-

    cally significant differences were found with one-way ANOVA

    between the 12 mean values neither at ED = 6000mJ/cm2 nor

    at ED=12000mJ/cm2.

    Linear two- and three-dimensional regression analyses

    were used to search for significant relationships between

    energy density, power density (PD), DC, C, E and Tg. Two-

    dimensional analysis showed significant although weak

    relationships between DC and C (r = 0.54), DC and E (r = 0.61),

    and DC and Tg (r = 0.53), between C and E (r = 0.50), and C and

    Tg (r = 0.34). Furthermore, significant relationships were found

    between ED and DC (r = 0.58), ED and E (r = 0.51), and ED and Tg(r = 0.44). Three-dimensional regression analysis showed a sig-

    nificant positive correlation between ED and DC and between

    ED and E and a concomitant significant negative correlation

    between PD and DC and between PD and E.

    Three-way ANOVA and Newman Keuls multiple compar-

    ison test were used to analyze the influence of ED, PD, and

    mode of cure on DC, C, E and Tg.

    3.1. Degree of conversion (DC)

    Comparisons of the continuous and the pulse-delay mode of

    cure showed significant influence of ED (p 0.05).

    Comparisons of the continuous and the stepped mode

    of cure showed an increased DC with an increasing ED,

    although not significant when step 1 = 150mW/cm2 and step

    2=600mW/cm2.

    3.2. Volume contraction (C)

    Comparisons of the continuous and the pulse-delay mode of

    cure showed significant influence of mode of cure (p < 0.05).

    The pulse-delay mode resulted in decreased C. The length of

    the delay was not significant (p >0.05).

    Comparisons of the continuous and the stepped mode

    of cure showed a significant increase in C with an increas-

    ing ED (p < 0.05), except when step 1 = 150mW/cm2 and step

    2=300mW/cm2.

    3.3. Elastic modulus (E)

    Comparisons of the continuous and the pulse-delay mode ofcure showedsignificant influence of ED (p < 0.05). Increased ED

    resulted in increased E.

    Comparisons of the continuous and the stepped mode of

    cure showed significant influence of ED (p 0.05).

    4. Discussion

    In the present study, resin composites were polymerized

    according to three different curing modes: continuous, pulse-delay, and stepped. These modes included variations in ED,

    andpower density(PD),and forthe pulse-delaymode different

    lengths of delay.

    The foregoing has shown that ED, PD, and mode of cure

    influenced the investigated properties: degree of conversion

    (DC), volume contraction (C), elastic modulus (E) and glass

    transition temperature (Tg). Thus, the working hypothesis was

    validated.

    The results confirm that the properties of a light-curing

    polymer-based material are mainly influenced by the amount

    of energy delivered to the material during irradiation. The

    higher ED applied to the material, the higher were DC, E and

    Tg. This is in agreement with the results of Halvorson et al.[2] and Peutzfeldt and Asmussen [3] who showed that DC

    and E increased with increasing ED. The increase in E and

    Tg with energy density is caused by the increase in DC and

    the significant relationship between DC and E, and between

    DC and Tg. However, in this study, the correlation between

    ED and C was found to be not significant, although DC and C

    were significantly correlated. This point does not agree with

    other studies [4,5] and may be due to a type II statistical

    error.

    The measured values of DC, E and Tg were statistically dif-

    ferent at 6000mJ/cm2 although only the values of DC were

    statistically different at 12000 mJ/cm2. A tentative explana-

    tion could be that DC, E and Tg increase with increasing ED

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    but tend towards a maximum. E and Tg may have a tendency

    to level off earlier than DC. At 6000 mJ/cm2, the material has

    not reached its maximum properties for DC, E and Tg, and

    the polymerization rate has an influence on these proper-

    ties. At 12000mJ/cm2, E and Tg have reached their maximum,

    and the polymerization rate has less influence on these prop-

    erties. As mentioned in the introduction, soft-start favors

    reduced gap formation [714]. However, the influence of cur-ing modes on the mechanical and physical properties remains

    conflicting. For a given monomer composition, the mechani-

    cal and physical properties of the resulting polymer are to a

    large extent governed by the twointerrelated but independent

    fundamental properties of network structures: degree of con-

    version and degree of crosslinking. In this study, in order to

    understand how the curing modes influence the properties,

    the underlying kinetics and mechanisms of the reaction and

    the structural characteristics must be understood. Therefore,

    this paragraph discusses the most relevant aspects related

    to the polymerization reaction and speculates the possible

    outcomes for the different light-curing protocols investigated.

    Owing to the high similarity of the samples (nature, volume,shape) it is first assumed that the T reached by all samples

    at the end of polymerization (vitrification T) does not differ

    significantly from one sample to another. The effect of heat-

    ing by the light source is thus never taken into account in

    this work.

    The characterization of the crosslinked network structure

    is extremely difficult due to the structural heterogeneity that

    develops in the polymer during polymerization.

    A first explanation for the heterogeneity of the network

    may be related to the rate of photopolymerization. The rate

    of polymerization is the speed at which DC is growing with

    time. In classical free radical processes (assuming conditions

    of radical stationarity), the polymerization rate scales as thesquare root of the rate of initiation. At low PD, a quasi-linear

    relationship can be assumed between PD and the rate of ini-

    tiation. Thus, in classical photopolymerization, at low PD, the

    polymerization rate scales as the square root of PD. How-

    ever, conditions of radical stationarity are almost never met in

    the present bulk photopolymerization, hence the square-root

    law is not valid anymore. Moreover, at higher PD a prema-

    ture termination of radicals can occur if radicals just created

    react with each other, without initiating polymerization. This

    leads to a net loss of radicals. Kinetically, it can be demon-

    strated that the rate of this premature termination reaction

    depends on the square of the concentration of radicals. At

    higher PD, the relationship between PD and the rate of ini-tiation becomes thus less than linear. Thus, at high PD, the

    relationship between PD and rate of polymerization becomes

    highly nonlinear, with a power law smaller than the square-

    root law. In simpler words, at high PD, for a given time of

    irradiation, increasing PD will lead to a much lower increase

    of DC.

    The case of dimethacrylate monomers with two equiva-

    lent functional (vinyl) groups is still more complicated as the

    functional group reactivity apparently changes with conver-

    sion in the system. This is also linked to the microstructureof the network with a large amount of pendant functional

    groups.

    To understand the polymer network, reference is made

    to the definitions of cyclic structures proposed by Dotson

    et al. [24]. When a radical involving a pendant double bond

    on a polymer chain propagates (i.e. a radical formed at a

    double bond from a unit having one double bond already

    reacted), a primary cycle, secondary cycle or crosslink, can

    be formed. When the radical reacts with a pendant dou-

    ble bond on its own chain, due to the vicinity in the close

    neighborhood, a primary cycle results. Primary cycles do not

    contribute to the network but trap a few pendant vinyl

    groups leading to microgel zones. If the radical reacts witha pendant double bond on a different chain but with which

    it is already (cross)linked, a secondary cycle forms. Finally, a

    crosslink forms when the radical reacts with a pendant dou-

    ble bond on a different chain [21]. Secondary cycles and

    crosslinks appear consecutively and are rather undistin-

    guishable from each other. Only the crosslinks connecting

    different chains leading to network formation will enhance

    the mechanical properties of the material. However, primary

    and secondary cycles, as well as crosslinks, contribute to the

    degree of conversion. As only crosslinks influence Tg, this

    explains that polymers with the same DC can exhibit different

    Tgs.

    The apparent unequal reactivity of the functional groupsand the ensuing competition between primary cyclization on

    the one hand, and secondary cyclization and crosslinking on

    the other hand, are a second explanation forstructural hetero-

    geneity of the network. Indeed, in case of divinyl monomers,

    with two equivalent functional (vinyl) groups, the functional

    group reactivity apparently changes with conversion in the

    system. At low conversions, the few pendant functional

    groups neighboring an active radical chain end exhibit an

    apparent enhancement of their reaction rate, due to their

    spatial proximity with the propagating radicals, leadingto pri-

    mary cycles (Fig. 2).

    Therefore, initially, primary cyclization dominates

    crosslinking and secondary cyclization. This behavioraccounts for the formation of a first type of microgel regions

    and a first kind of heterogeneity of the network.

    Fig. 2 Schematic picture showing how primary cycles are formed and how they trap vinyl groups in microgel zones (in

    grey).

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    d e nt a l m a t e r i a l s 2 5 ( 2 0 0 9 ) 15761584 1583

    will give rise to relatively few growth centers, and a relatively

    linear polymer is formed.

    Comparisons of the continuous and the pulse-delay mode

    of cure did not show a significant influence on E, despite

    a decreased DC with the pulse-delay mode and a positive

    correlation between DC and E. Actually, from Table 1, the

    pulse-delay mode of cure shows a decreased E compared to

    the continuous mode when ED = 6000mJ/cm2. No differencesare noticeable at ED=12000mJ/cm2 because, as previously

    explained, E has the tendency to level off earlier than DC and

    has already reached its maximum.

    In this study, it was assumed that Tg was a good parameter

    to determine the crosslink density. The pulse-delay technique

    led to polymers of decreased Tg. The decreased Tg may be

    interpretedas the manifestationof a polymer structure having

    fewer crosslinks. In the pulse-delay curing mode, as already

    explained, after the short flash of initial light, only few growth

    centers remain active during the delay. Consequently, the

    propagation of polymerization will predominantly add one

    molecule of monomer after the other to the growing polymer

    chain. Also, the concentration of pendant monomers accessi-ble to reaction [MP] decreases. The result is that a relatively

    linear polymer is formed before the final cure is carried out.

    The final irradiation will give rise to a multitude of growth

    centers. Many growth centers will increase the tendency to

    form a branched polymer. At the end, the pulse-delay mode

    results in more linear chains, with proportionally decreased

    crosslinking. The finding that the polymers that were pre-

    cured with a pulse at 600 mW/cm2 exhibited a lower Tg than

    the corresponding polymers precured at 300 mW/cm2 is prob-

    ably linked to the propagation of the polymerization. At a

    pulse PD of 300mW/cm2 relatively few growth centers are

    formed, with the result that a larger part of the polymeriza-

    tion occurs at the final cure. At a pulse PD of 600 mW/cm2,many more growth centers are formed, with the result that

    a larger part of the polymer structure will be linear before

    final polymerization. Indeed, the pulse of light initiates a con-

    centration of radicals [R] increasing very fast, then decaying

    (exponentially) during the delay. On the average, during the

    [pulse+ delay] duration, a low [R] is active during the period

    of time that depends on the PD duringthe pulse.These results

    are in accordance with the ones of Asmussen and Peutzfeldt

    [17,18]. In their studies, the pulse-delay curing resulted in

    less crosslinked polymers compared to continuously cured

    polymers. The extent of crosslinking was estimated by the

    Wallace hardness after storage in ethanol. The softening

    effect also increased with the power density of the initialexposure.

    To conclude, the pulse-delay mode of cure has earlier been

    found to result in reduced gap formation [9,14]. Concerning

    the structure of the polymers, the pulse-delay mode resulted

    in decreased degree of conversion and in decreased degree

    of crosslinking, since it was assumed that Tg was a good

    parameter of the crosslink density. A significantly lower DC

    and crosslink density may have possible consequences for the

    stability of the polymer (for example elution and softening

    by food components). To confirm the results obtained in this

    study, determination of crosslink density by measurements of

    softening after storage in ethanol and elution were addressed

    in a further study [23].

    Comparisons of the continuous and the stepped mode of

    cure are more ambiguous. A possible explanation is that, in

    the step-cure mode, PD of the first step will have effects on

    degree of conversion and on density of crosslinking in the

    opposite direction. A high PD will produce higher concentra-

    tions of radicals that will rapidly react with each other, thus

    yielding premature termination and resulting in lower DC. But,

    high PD will give rise to a multitude of growth centers, increas-ing the tendency to form a branched polymer (higher crosslink

    density). On theother side, a lower PD in thefirst step will pro-

    portionally yield a higher efficiency of the initiated radicals.

    This results in a delayed termination of polymerization and in

    higher DC. But lower PD will give rise to relatively few growth

    centers, and a relatively linear polymer is formed. This expla-

    nation is in accordance with other studies [11,17,18], which

    found that, depending of the PD and the duration of the first

    step, step-cured composites resulted in either lower, or higher

    crosslinking or modulus of elasticity. Thus, the difficulty lies

    in determining the optimal duration and PD of the two steps.

    In conclusion, a step-cure mode has also been found to result

    in reduced contraction gaps [13] although not significant in allstudies [26]. Further investigations are necessary to find the

    optimal power density and duration of the steps to allow, on

    the one hand, enough flow to increase marginal integrity, and,

    on the other hand, to activate the optimal amount of radicals

    to form a highly crosslinked polymer, with a high degree of

    conversion, and consequently to obtain similar or even better

    physical properties. It must be remembered, though, that the

    optimal power density actually depends on the concentration

    and also on the specific chemistry of the initiator system [11].

    Acknowledgements

    This study was supported by a FIRST-Europe research grant

    of the Walloon Region (Belgium) and by the European social

    funds. The authors also gratefully acknowledge Thrse Glo-

    rieux, Pascal Van Velthem and Jean-Jacques Biebuyck for

    technical assistance.

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