<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0255-6952</journal-id>
<journal-title><![CDATA[Revista Latinoamericana de Metalurgia y Materiales]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. LatinAm. Met. Mat.]]></abbrev-journal-title>
<issn>0255-6952</issn>
<publisher>
<publisher-name><![CDATA[Universidad Simón Bolívar    ]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0255-69522012000100010</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Copolymerizations of long side chain di n-alkyl itaconates and methyl n-alkyl itaconates with styrene: Determination of monomers reactivity ratios by NMR]]></article-title>
<article-title xml:lang="es"><![CDATA[Copolimerización de diitaconatos y metil itaconatos de n-alquilo de cadenas laterales largas con estireno: Determinación de de las relaciones de reactividad de los monómeros por RMN]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rangel-Rangel]]></surname>
<given-names><![CDATA[Elizabeth]]></given-names>
</name>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Torres]]></surname>
<given-names><![CDATA[Carlos]]></given-names>
</name>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rincón]]></surname>
<given-names><![CDATA[Luís]]></given-names>
</name>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Koteich-Khatib]]></surname>
<given-names><![CDATA[Sonia]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[López-Carrasquero]]></surname>
<given-names><![CDATA[Francisco]]></given-names>
</name>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad de Los Andes Facultad de Ciencias Departamento de Química]]></institution>
<addr-line><![CDATA[Mérida ]]></addr-line>
<country>Venezuela</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2012</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2012</year>
</pub-date>
<volume>32</volume>
<numero>1</numero>
<fpage>79</fpage>
<lpage>88</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://ve.scielo.org/scielo.php?script=sci_arttext&amp;pid=S0255-69522012000100010&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://ve.scielo.org/scielo.php?script=sci_abstract&amp;pid=S0255-69522012000100010&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://ve.scielo.org/scielo.php?script=sci_pdf&amp;pid=S0255-69522012000100010&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Low yields copolymerization of styrene (S) with di-n-alkylitaconates (DI-n) and methyl n-alkylitaconates (MeI-n) with alkyl side chain of 12, 14, 16, 18 and 22 carbon atoms were carried out in bulk via radical at 60ºC with AIBN as initiator. The copolymers chemical structure was characterized by FTIR and 1H and 13C-NMR, and the composition was determined by 1H-NMR. The NMR studies indicate that the copolymers are random, but with some tendency to alternation. The monomers reactivity ratios between the styrene and itaconates in the copolymerization (ri) were calculated by the Fineman-Ross (FR), Kelen Tüdös (KT) methods and a modification of the last one. The obtained values of r1(DI) and r2(S) in the copolymerization among DI-n with n = 12, 14 and 16 with S were in the range of 0.22 to 0.28 for DI-n and 0.19 to 0.39 for S. Whereas for DI-n with n = 18 and 22 the values are in the order of 0.42-0.50 and 0.37-0.47 respectively. For the copolymer series derivatives of MeI-n the values were between 0.01-0.41 for the itaconate and 0.44-0.97 for S.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[La copolimerización a bajos grados de conversión de estireno (S) con di-n-alquilitaconatos (DI-n) y de metil-n-alquil itaconatos (MeI-n) con cadenas laterales de 12, 14, 16, 18 y 22 átomos de carbono se llevó a cabo por vía radical, en masa a 60ºC y empleando AIBN como iniciador. La estructura química de los copolímeros se caracterizó por FTIR y RMN-1H y 13C y la composición se determinó por RMN-1H. Los estudios de RMN indican que los copolímeros son estadísticos pero con cierta tendencia a la alternancia. Las relaciones de reactividad (ri) entre el estireno e itaconatos se calcularon mediante los métodos de Fineman-Ross (FR), Kelen Tüdös (KT) y una modificación esta última. Los valores obtenidos de r1(DI) y r2(S) en la copolimerización entre los DI-n con n = 12, 14 y 16 con S estuvieron en el rango de 0.22 a 0.28 para DI-n y 0.19 a 0.39 para S, mientras que los valores encontrados para los DI-n con n = 18 y 22 son del orden de 0.42-0.50 y 0.37-0.47 para el itaconato y estireno respectivamente. Para la serie de MeI-n, los valores oscilaron entre 0.01 hasta 0.41 para los itaconatos y 0.44 a 0.97 para el S.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[n-alkylitaconate]]></kwd>
<kwd lng="en"><![CDATA[styrene]]></kwd>
<kwd lng="en"><![CDATA[copolymerization]]></kwd>
<kwd lng="en"><![CDATA[reactivity ratios]]></kwd>
<kwd lng="es"><![CDATA[n-alquilitaconatos]]></kwd>
<kwd lng="es"><![CDATA[estireno]]></kwd>
<kwd lng="es"><![CDATA[copolimerización]]></kwd>
<kwd lng="es"><![CDATA[relaciones de reactividad]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[ <p ALIGN="center"> <span lang="EN-GB" style="font-family: Verdana; font-weight: 700"> Copolymerizations of long side chain di <i>n</i>-alkyl itaconates and methyl  n-alkyl itaconates with styrene: Determination of monomers reactivity ratios by  NMR</span></p> <font FACE="Verdana" SIZE="2">     <p ALIGN="center"><b>Elizabeth Rangel-Rangel<sup>1</sup>, Carlos Torres<sup>1</sup>,  Luís Rincón<sup>2</sup>, Sonia Koteich-Khatib<sup>3</sup>,Francisco  López-Carrasquero<sup>1</sup>*.</b></p>     <p ALIGN="justify">1: Grupo de Polímeros;</p>     <p ALIGN="justify">2: Grupo de Procesos Dinámicos en Química;</p>     <p ALIGN="justify">3: Laboratorio de Resonancia Magnética Nuclear Departamento  de Química, Facultad de Ciencias, Universidad de Los Andes. 5101, Mérida,  Venezuela.</p>     <p align="justify">* email: <a href="mailto:flopezc@ula.ve">flopezc@ula.ve</a></p> <b>     <p ALIGN="justify">ABSTRACT</p> </b>     <p ALIGN="justify">Low yields copolymerization of styrene (S) with di-n-alkylitaconates  (DI-n) and methyl n-alkylitaconates (MeI-n) with alkyl side chain of 12, 14, 16,  18 and 22 carbon atoms were carried out in bulk via radical at 60ºC with AIBN as  initiator. The copolymers chemical structure was characterized by FTIR and 1H  and 13C-NMR, and the composition was determined by 1H-NMR. The NMR studies  indicate that the copolymers are random, but with some tendency to alternation.  The monomers reactivity ratios between the styrene and itaconates in the  copolymerization (ri) were calculated by the Fineman-Ross (FR), Kelen Tüdös (KT)  methods and a modification of the last one. The obtained values of r1(DI) and  r2(S) in the copolymerization among DI-n with n = 12, 14 and 16 with S were in  the range of 0.22 to 0.28 for DI-n and 0.19 to 0.39 for S. Whereas for DI-n with  n = 18 and 22 the values are in the order of 0.42-0.50 and 0.37-0.47  respectively. For the copolymer series derivatives of MeI-n the values were  between 0.01-0.41 for the itaconate and 0.44-0.97 for S.</p> <b>     <p ALIGN="justify">Keywords: </b>n-alkylitaconate, styrene, copolymerization,  reactivity ratios</p>     <p ALIGN="center"> <span style="font-size: 10.0pt; font-family: Verdana; font-weight: 700"> Copolimerización de diitaconatos y metil itaconatos de n-alquilo de cadenas  laterales largas con estireno: Determinación de de las relaciones de reactividad  de los monómeros por RMN.</span></p> <b>     ]]></body>
<body><![CDATA[<p ALIGN="justify">RESUMEN</p> </b>     <p ALIGN="justify">La copolimerización a bajos grados de conversión de estireno  (S) con di-n-alquilitaconatos (DI-n) y de metil-n-alquil itaconatos (MeI-n) con  cadenas laterales de 12, 14, 16, 18 y 22 átomos de carbono se llevó a cabo por  vía radical, en masa a 60ºC y empleando AIBN como iniciador. La estructura  química de los copolímeros se caracterizó por FTIR y RMN-1H y 13C y la  composición se determinó por RMN-1H. Los estudios de RMN indican que los  copolímeros son estadísticos pero con cierta tendencia a la alternancia. Las  relaciones de reactividad (ri) entre el estireno e itaconatos se calcularon  mediante los métodos de Fineman-Ross (FR), Kelen Tüdös (KT) y una modificación  esta última. Los valores obtenidos de r1(DI) y r2(S) en la copolimerización  entre los DI-n con n = 12, 14 y 16 con S estuvieron en el rango de 0.22 a 0.28  para DI-n y 0.19 a 0.39 para S, mientras que los valores encontrados para los  DI-n con n = 18 y 22 son del orden de 0.42-0.50 y 0.37-0.47 para el itaconato y  estireno respectivamente. Para la serie de MeI-n, los valores oscilaron entre  0.01 hasta 0.41 para los itaconatos y 0.44 a 0.97 para el S.</p> <b>     <p align="justify">Palabras Claves: </b>n-alquilitaconatos, estireno,  copolimerización, relaciones de reactividad</p>     <p align="justify"><b>Recibido</b>: 21-02-2011; <b>Revisado</b>: 02-06-2011 <b> Aceptado</b>: 08-06-2011; <b>Publicado</b>: 21-06-2011</p>     <p align="justify"><b>1. INTRODUCTION</b></p>     <p align="justify">Polyitaconates have been widely studied for decades possibly  due to its structural similarity with the polyacrylates and polymethacrylates  and by the low cost of the itaconic acid, substance from which the itaconates  are obtained [1]. Many of these researches have been oriented to the study of  the amorphous state and properties in dissolution [1-4], while others have  focused in the study of their thermal degradation [5-9]. A more recent studies  carried out with a series of poly(mono <i>n</i>-alkyl itaconate)s, poly(methyl <i>n</i>-alkyl itaconate)s and poly(di-<i>n</i>-alkyl itaconate)s with <i>n</i>  = 12, 14, 16, 18 and 22 showed that from certain size, the n-alkyl side-chains  are able to crystallize [10, 11].</p>     <p align="justify">The copolymerization of itaconates with vinyl monomers had  also received some attention, for example, the copolymerization of methyl and  butyl diitaconates with vinyl monomers as styrene and methyl methacrylate had  been studied [12-19]. On the other hand, a long side chain series of mono nalkyl  itaconates [20] and the n-hexadecyl diitaconate [21] were copolymerized with  styrene. For these copolymers the n-alkyl side chains were able to crystallize  depending on both the copolymer composition and their length. Even though, there  have been a considerable number of studies on the copolymerization of itaconate  with vinyl monomers, only very few of them report on the reactivity ratios  between monomers. So for example, the reactivity ratios in the copolymerization  of styrene with mono n-alkyl itaconates with n = 6-12 [22, 23] and 1- menthyl  itaconate derivatives [24, 25] were described. The possibility of copolymerized  itaconates with vinyl monomers would improve the properties of these materials  and the formation of gels would also enhance the application of these materials  making them good candidates to be used in the manufacture of purification  devices such as filters and membranes or as filler for analytical columns [26].</p>     <p align="justify">Since the little knowledge about the reactivity ratios of the  copolymetization between styrene and n-alkyl itaconates, the possible influence  of proportion and how the monomers are distributed in the copolymer chain on the  final properties of the copolymers, in the present work we propose to carry out  a NMR study with the main aim of determining the values of reactivity ratios in  the copolymerization of styrene with a series of di n-alkyl and methyl n-alkyl  itaconates containing an even number of carbon atoms from 12 up to 22 in the  alkyl chain. They were copolymerized at low conversions (&lt;10%) and the  reactivity ratios were determined using the Finemann-Ross and Kelen-Tüdös  methods [27, 28]. A new treatment which involves the modification of some Kelen-Tüdös  parameters was also tried and the results were compared with those obtained by  Finemann-Ross and Kelen-Tüdös methods, which are widely used in the  determination of the reactivity ratios for great quantity of systems.</p>     <p align="justify"><b>2. EXPERIMENTAL PART</b></p>     <p align="justify"><b>2.1 Materials</b></p>     ]]></body>
<body><![CDATA[<p align="justify">Styrene (99.9 %) was dried over CaH2 and distilled under  reduced pressure.</p>     <p align="justify">Itaconic acid (Aldrich 99.9 + %) and other chemicals (analytical  grade or better) were used without further purification.</p>     <p align="justify"><b>2.2 Monomer synthesis</b></p>     <p align="justify">Di-<i>n</i>-alkyl-itaconates (DI-n) were synthesized by  esterification of itaconic acid with the corresponding alcohol using p-toluenesulfonic  acid as catalyst. MeI-<i>n</i> were synthetized by methylation of the  corresponding mono-<i>n</i>-alkyl-itaconates (MI-<i>n</i>) with diazomethane  following methods previously reported [10, 11].</p>     <p align="justify">MI-<i>n</i> were prepared essentially in the same way  described for DI-<i>n</i> using acetyl chloride instead of p-toluenesulfonic  acid as catalyst [10, 11].</p>     <p align="justify"><b>2.3 Polymerization</b></p>     <p align="justify">Polymerizations of both series were carried out in bulk at 60ºC  under nitrogen atmosphere using AIBN (1% molar) during 1 hour, the time required  to reach about 5-10% yields. The molar ratio itaconate/styrene in the feed was  varied between 4:1 and 1:4. The obtained copolymers were purified by dissolving  in chloroform and precipitating with methanol. The purification method was  repeated several times. In some cases it was necessary to boil the copolymers  with methanol to eliminate the unreacted itaconate. Yields were determined  gravimetrically based on the weight of the starting monomers. The nomenclature  used for these copolymers is DI-n-co-S and MeI-<i>n</i>-co-S (X:Y) where <i>n</i>  is the carbon number of the itaconate side chain and X represents the molar  proportion of the itaconate and Y of styrene used in the feed.</p>     <p align="justify">In the <a href="#fig1">Figure 1</a> is shown a scheme of the  copolymerization reaction between the diitaconates and methyl itaconates with  styrene.</p>     <p align="center"><a name="fig1"> <img border="0" src="/img/fbpe/rlmm/v32n1/art10fig1.gif" width="486" height="365"></a></p>     
<p align="justify"><b>2.4 Characterization</b></p>     ]]></body>
<body><![CDATA[<p align="justify">Infrared spectra were registered on a Fourier Transform  Infrared Spectrophotometer (FTIR) Perkin-Elmer System 2000. The samples were  prepared on NaCl discs by casting from CHCl<sub>3</sub> solutions.</p>     <p align="justify">NMR spectra were recorded on a Bruker AVANCE DRX 400  spectrometer at room temperature from samples dissolved in CDCl<sub>3</sub>  using tetramethylsilane (TMS) as internal reference.</p>     <p align="justify"><b>2.5 Reactivity ratios determination</b></p>     <p align="justify">Reactivity ratios between DI and MeI with styrene in the  copolymerization were determined using both the Fineman-Ross (FR) [13] and the  Kelen Tüdös (KT) [14] methods. Furthermore, a third new strategy is used for the  first time in this paper. The Fineman-Ross equation is:</p>     <p align="center"> <img border="0" src="/img/fbpe/rlmm/v32n1/art10ecu1.gif" width="294" height="61"></p>     
<p align="justify">Where, <i>f </i>is the molar ratio of the monomers in the  feed and F in the copolymer. Then from the representation of <img border="0" src="/img/fbpe/rlmm/v32n1/art10ecua.gif" width="147" height="38">&nbsp; it can  be obtained <i>r</i><sub>1</sub> and <i>r</i><sub>2</sub> from the slope and the  origin.</p>     
<p align="justify">The Kelen Tüdös equation introduces an arbitrary constant &#945;  with the aim to separate the data uniformly and at the same time allows that all  the points have the same statistical weigh, and is expressed as:</p>     <p align="center"> <img border="0" src="/img/fbpe/rlmm/v32n1/art10ecu2.gif" width="244" height="50"></p>     
<p align="justify">Where:</p>     <p align="center"> <img border="0" src="/img/fbpe/rlmm/v32n1/art10ec.gif" width="576" height="26"></p>     
]]></body>
<body><![CDATA[<p align="justify">As in the former case if is plotted <i>&#951;</i> vs. <i>&#958;</i> the  values of <i>r<sub>1</sub></i> y <i>r<sub>2</sub></i> can be obtained from the  origin and the slope.</p>     <p align="justify">A modification of the KT equation was also used for the  determination of the reactivity ratios and was realized by a rearrangement of  the copolymer composition equation:</p>     <p align="center"> <img border="0" src="/img/fbpe/rlmm/v32n1/art10ecu3.gif" width="294" height="55"></p>     
<p align="justify">to obtain a new expression where r<sub>1</sub> and r<sub>2</sub>  have the same weigh in the equation:</p>     <p align="center"><a name="ecu4"> <img border="0" src="/img/fbpe/rlmm/v32n1/art10ecu4.gif" width="294" height="49"></a></p>     
<p align="justify">Then we define:</p>     <p align="center"><a name="ecu5"> <img border="0" src="/img/fbpe/rlmm/v32n1/art10ecu5.gif" width="298" height="32"></a></p>     
<p align="justify">Where, &#946; and <i>&#948;</i> are two arbitrary constants. <a href="#ecu4">Equaling (4)</a> to (<a href="#ecu5">5</a>) we obtain, </p>     <p align="center"> <img border="0" src="/img/fbpe/rlmm/v32n1/art10ecub.gif" width="234" height="33"></p>     
<p align="justify">and</p>     ]]></body>
<body><![CDATA[<p align="center"> <img border="0" src="/img/fbpe/rlmm/v32n1/art10ecu6.gif" width="302" height="26"></p>     
<p align="justify">If equation (<a href="#ecu5">5</a>) is used and (<i>F1</i>&#8722;<i>F2</i>)  is plotted vs. <i>&#946;</i>, the slope value is (<i>r<sub>2</sub></i>+<i>r<sub>1</sub></i>)  and the origin will be <i>&#948;</i>(<i>r<sub>2</sub></i>- <i>r<sub>1</sub></i>).</p>     <p align="justify">Due to the sensibility of r<sub>1</sub> and r<sub>2</sub> to  the mathematical manipulation, the new methodology proposed here, in conjunction  with the most classical treatments of FR and KT, provides an additional  verification and a statistical support for the values of reactivity ratios  reported. The equation works very well as long as the origin <i>&#948;</i>(<i>r<sub>2</sub></i>- <i>r<sub>1</sub></i>) is small.</p>     <p align="justify"><b>3. RESULTS AND DISCUSSION</b></p>     <p align="justify"><b>3.1 Copolymer characterization and compositions  determination</b></p>     <p align="justify">Using the reaction conditions described above, both series of  copolymers were obtained free of monomer with yields of about 10% or less. In <a href="#tab1">Tables 1</a> and <a href="#tab2">2</a> are shown the composition  of the monomers in the feed and in the copolymer as well as their yields.</p>     <p align="center"><a name="tab1"> <img border="0" src="/img/fbpe/rlmm/v32n1/art10tab1.gif" width="578" height="262"></a></p>     
<p align="center"><a name="tab2"> <img border="0" src="/img/fbpe/rlmm/v32n1/art10tab2.gif" width="583" height="268"></a></p>     
<p align="justify">The physical appearance of copolymers varies depending on the  composition and the length of the side chain of the itaconate units. Then,  copolymers constituted by any of the itaconates with 12, 14 or 16 carbon atoms  in the side chain and a small quantity of S, were sticky and transparent, but  when the amount of S is increased the copolymers become white and gummy. On the  other hand, those copolymers composed by itaconates of 18 or 22 carbon atoms in  the side chain are white powders and become more rigid as the amount of styrene  increase.</p>     <p align="justify">The NMR spectra obtained from the series of DI-nco- S or MeI-n-co-S  were similar to each other, and like the FTIR spectra, the intensity of the  signals of itaconate and styrene changes as the composition does. <a href="#fig3">Figure 3</a> shows the 1H-NMR spectra of MeI- 18 (A) and MeI-18-co-S  (1:1) (B) with the respective assignations. In the figure it can be appreciated  the spectrum of DI-18-co-S (1:1) (C) for comparison. The signal assignations  were confirmed by bidimentional NMR techniques [29].</p>     ]]></body>
<body><![CDATA[<p align="center"> <img border="0" src="/img/fbpe/rlmm/v32n1/art10fig2.gif" width="541" height="339"></p>     
<p align="center"><a name="fig3"> <img border="0" src="/img/fbpe/rlmm/v32n1/art10fig3.gif" width="571" height="593"></a></p>     
<p align="justify">The composition of the copolymers reported in <a href="#tab1"> Table 1</a> was determined by <sup>1</sup>H-NMR, comparing the integral of the  signals of the –CH<sub>3</sub> at 0.9 ppm of the side chains of the itaconate (e  for MeI-18-co-S and e and e´, for DI-18-co-S) with the aromatic protons of the  styrene (o, m, p) (6.30-7.25 ppm). The absence in the copolymers spectra of the  two signals between 5.7 and 6.4 ppm and the triplet at approximately 4.2 ppm  corresponding to the =CH<sub>2</sub> protons and to the OCH<sub>2</sub> of the  side chain of the monomer also indicate that the copolymers were free of  monomers. On the other hand, in the spectrum of the MeI-18-co-S (<a href="#fig3">Figure  3B</a>) it may be observed that the signal of OCH<sub>3</sub> and the OCH<sub>2</sub>,  (b´) and (b) respectively, are not only shifted in comparison with the  corresponding signal of the homopolymer (<a href="#fig3">Figure 3A</a>) [10, 11]  but also are highly split in broad signals. This was also observed, although  with less intensity for DI-18-co- S (<a href="#fig3">Figure 3C</a>). This fact  not only indicates that the copolymerization was successfully carried out, but  also suggests that the units of styrene and itaconate are randomly distributed  in the copolymer chain.</p>     <p align="justify">The <sup>13</sup>C-NMR studies confirm the results described  above. In <a href="#fig4">Figure 4</a> The DEPT 135 spectrum of MeI-  18-co-S(1:1), which is considered representative of all the series, is compared  with polystyrene, and PMeI-<i>18</i> spectra.</p>     <p align="center"><a name="fig4"> <img border="0" src="/img/fbpe/rlmm/v32n1/art10fig4.gif" width="572" height="431"></a></p>     
<p align="justify">In the copolymer spectrum the signals of the carbons directly  attached to the carbonyl groups (OCH<sub>3</sub> and OCH<sub>2</sub>) of the  itaconate units (a and e) are split in several signals and shifted to higher  field respect to the signals of the homopolymer. The splitting is due to a  change of the chemical environment produced when an itaconate unit is adjacent  to a styrene one, and the shift to upper field is due to the OCH3 or OCH2 groups  of itaconate are located inside of the protection cone of the styrene unit [21,  29]. The methyne carbon of the styrene unit (</font><font FACE="Symbol" SIZE="2">g</font><font FACE="Verdana" SIZE="2">)  also undergo splitting in two signals with a small shifting to higher field,  indicating that this signal is also influenced by the itaconate units. The <sup> 13</sup>C-NMR of DI-<i>16-co</i>-S exhibits a similar behavior to that described  above for MeI-<i>n-co</i>-S, although in that case neither the shift nor splits  are so noticeable [21]. The NMR results indicate without any doubt that the  structure of these copolymers has mainly random structures. If the obtained  products were alternating or block copolymers the splitting and the shifting of  the signals would not be observed.</font></p>     <p align="justify"><b><font FACE="Verdana" SIZE="2"> 3.2 Reactivity ratios determination</font></b></p>     <p align="justify"><font FACE="Verdana" SIZE="2"> The reactivity ratios were determined from the monomer proportion in the feed  and the copolymers composition. As mentioned before, <sup>1</sup>H-NMR was used  to quantify the copolymer composition and the FR, KT methods and a modification  of the last one were used to determine the reactivity ratios. Reaction times of  one hour allow to obtain yields of about 10% or less, which according to the  previous report is necessary to apply in these methods [30, 31].</font></p>     <p align="justify"><font FACE="Verdana" SIZE="2"> As an example in <a href="#fig5">Figure 5</a> are shown the plots obtained for  the calculated parameters for DI-18-co- S copolymers and in <a href="#tab3"> Table 3</a> the values of r1 and r2 for the whole series obtained by the three  methods.</font></p>     <p align="center"><a name="fig5"> <img border="0" src="/img/fbpe/rlmm/v32n1/art10fig5.gif" width="552" height="406"></a></p>     
]]></body>
<body><![CDATA[<p align="center"><a name="tab3"> <img border="0" src="/img/fbpe/rlmm/v32n1/art10tab3.gif" width="573" height="436"></a></p>     
<p align="justify"><font face="Verdana" size="2">As it may be appreciated in <a href="#tab3">Table 3</a>, the obtained values for r<sub>1</sub> and r<sub>2</sub>  for each one of the members of DI-<i>n-co</i>-S series were similar for the tree  methods.</font></p>     <p align="justify"><font face="Verdana" size="2">Even more, in all cases is  observed that r<sub>1</sub> and r<sub>2</sub> are less than unity and 0 &lt; r<sub>1</sub>·r<sub>2</sub>  &lt; 1, indicating that this systems, as in many cases, generate random copolymers  but with some tendency to alternation. In the case of the copolymers derivatives  from DI- <i>12</i>, <i>14</i> and 16, r<sub>2</sub> was slightly higher than r<sub>1</sub>,  indicating that styrene units are easier incorporated into the copolymer chain  than those of itaconate. While the values for r<sub>1</sub> and r<sub>2</sub> in  DI-<i>18</i> and <i>22</i> are closer but with r1 slightly higher than r<sub>2</sub>.</font></p>     <p align="justify"><font face="Verdana" size="2">In the four series of MeI-<i>n-co</i>-S  studied here, the values of r<sub>2</sub> were higher than r<sub>1</sub>  regardless of the side chain of the itaconate and the difference between r<sub>2</sub>  and r<sub>1</sub> for MeI-n-co-S with <i>n</i>=12, 14 and 16 was much more  pronounced than in the previous cases.</font></p>     <p align="justify"><font face="Verdana" size="2">These facts indicate that  longest chains in the itaconate, 18 and 22, promote the incorporation of both  monomers almost in the same form to the polymer chain, but the shorter ones  promote the preferential incorporation of the styrene. This behavior is more  pronounced in the MeI-n family as may see in <a href="#tab3">Table 3</a>. At the  moment we do not have a satisfactory explanation to this behavior, since nor  electronic or steric factor appear to be involved here. More studies must be  carried out with others itaconates in order to obtain more conclusive results.</font></p>     <p align="justify"><font face="Verdana" size="2"><a href="#ecu5">Equation (5)</a>  could be applied in most cases and the obtained values were similar to those  observed with the FR or KT methods, as may be observed in <a href="#tab3">Table  3</a>. However, for the copolymers MeI-12-co-S and MeI-14-co-S, where there is a  markedly difference between the values of r<sub>1</sub> and r<sub>2</sub>,  linearity was not observed when this equation is used. This indicates that this  equation is only valid when the values of r<sub>1</sub> and r<sub>2</sub> are  close and the intercept is small, since this treatment gives equal weight to the  variables of the equation. If these values are very different, this treatment is  no longer applicable.</font></p>     <p align="justify"><font face="Verdana" size="2">Finally these results indicate  that the monomeric units have some tendency to be distributed randomly in the  copolymers, which is concordant with the NMR results. At this moment, we are  carrying out further work in copolymerization of itaconates with styrene in  order to reach more conclusive results related with copolymerization and the  structure of these copolymers, and also to evaluate their thermal properties and  the effect of styrene on the crystallization of n-alkyl side chains of itaconate.</font></p> <font FACE="Verdana" SIZE="2"><b>     <p ALIGN="justify">4. CONCLUSIONS</p> </b>     <p ALIGN="justify">Copolymerization of long side chain DI-<i>n </i>and MeI</font><i><font FACE="Verdana" size="2">n</font><font FACE="Verdana" size="2"> </font></i><font size="2" face="Verdana">with S at low conversions provides  random copolymers but with some tendency to alternation as was demonstrated by  NMR, and confirmed by the methods used for the determination of the reactivity  ratios.</p>     <p ALIGN="justify">In the case of the DI-<i>n</i>-<i>co</i>-S copolymers with <i> n </i>= 12, 14 and 16 the r<sub>1(DI)</sub> and r<sub>2(S)</sub> values were in  the order de 0.2 to 0.3 being those of r<sub>2(S)</sub> greater than r<sub>1(DI)</sub>.  These results could be interpreted as a slightly higher incorporation of styrene  than itaconate in the copolymer. For the DI-<i>18 </i>and <i>22</i>, the r  values were between 0.4 and 0.5 and r<sub>1(DI)</sub> was slightly higher than r<sub>2(S)</sub>  indicating in this case a slightly preferential incorporation of the itaconate  in the copolymer. However, this interpretation should be taken with some caution  since the values are close and the errors are not negligible. Therefore we  consider that additional studies must be carried out to reach more conclusive  results.</p> </font>     ]]></body>
<body><![CDATA[<p align="justify"><font size="2" face="Verdana">Although for MeI-<i>n-co</i>-S  the tendencies were more or less the same observed for the diitaconate  copolymers, the values of r<sub>2(S)</sub> were ever higher that r<sub>1(DI)</sub>  and their differences increase as the itaconate n-alkyl side chain become  shorter.</font></p>     <p align="justify"><font size="2" face="Verdana">The modification of the KT  method carried out in this work and resumed in the <a href="#ecu5">equation (5)</a>  for the determination of reactivity ratios, showed that it is only applicable  when the values of r<sub>1</sub> and r<sub>2</sub> are too close. This method  works satisfactorily when was used in all the DI-<i>n</i>-<i>co</i>-S series,  but when was used in the copolymerization of MeI-<i>n </i>only works adequately  when the monomers were MeI-<i>16 </i>and MeI-<i>18</i>.</font></p>     <p align="justify"><b><font size="2" face="Verdana">5. ACKNOWLEDGEMENTS</font></b></p>     <p align="justify"><font size="2" face="Verdana">This work has been supported by  Consejo de Desarrollo Científico Humanístico y Tecnológico de la Universidad de  los Andes, Mérida (Venezuela) (CDCHT-ULA) through the grant C-1517-07-08-A.</font></p>     <p align="justify"><font size="2" face="Verdana"><b>6. REFERENCES</b></font></p>     <!-- ref --><p align="justify"><font size="2" face="Verdana">1. Cowie JMG, Haq C, Br. Polym.  J. 1977; 9: 241- 245.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=2286707&pid=S0255-6952201200010001000001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font size="2" face="Verdana">2. Velickovic J, Filipovic J. Makromol. 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</ref-list>
</back>
</article>
