<?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>1794-1237</journal-id>
<journal-title><![CDATA[Revista EIA]]></journal-title>
<abbrev-journal-title><![CDATA[Rev.EIA.Esc.Ing.Antioq]]></abbrev-journal-title>
<issn>1794-1237</issn>
<publisher>
<publisher-name><![CDATA[Escuela de ingenieria de Antioquia]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1794-12372012000200009</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[DIELECTRIC PROPERTIES OF POLY(VINYL ALCOHOL) HYDROGELS PREPARED BY FREEZING/THAWING TECHNIQUE]]></article-title>
<article-title xml:lang="es"><![CDATA[PROPIEDADES DIELÉCTRICAS DE HIDROGELES DE ALCOHOL POLIVINÍLICO OBTENIDOS POR LA TÉCNICA DE CONGELAMIENTO/DESCONGELAMIENTO]]></article-title>
<article-title xml:lang="pt"><![CDATA[PROPRIEDADES DIELÉCTRICAS DE HIDROGEIS DE ÁLCOOL POLIVINÍLICO OBTIDOS PELA TÉCNICA DE CONGELAMENTO/ DESCONGELAMENTO]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Londoño]]></surname>
<given-names><![CDATA[Martha Elena]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Jaramillo]]></surname>
<given-names><![CDATA[Juan Manuel]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Sabater]]></surname>
<given-names><![CDATA[Roser]]></given-names>
</name>
<xref ref-type="aff" rid="A03"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Vélez]]></surname>
<given-names><![CDATA[Juan Manuel]]></given-names>
</name>
<xref ref-type="aff" rid="A04"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Escuela de Ingeniería de Antioquia Ingeniería Biomédica Grupo de Investigación GIBEC]]></institution>
<addr-line><![CDATA[Envigado ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="A02">
<institution><![CDATA[,Universidad EAFIT  ]]></institution>
<addr-line><![CDATA[Medellín ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="A03">
<institution><![CDATA[,Universitat Politècnica de València Centre de Biomaterials i Enginyeria Tissular ]]></institution>
<addr-line><![CDATA[Valencia ]]></addr-line>
<country>España</country>
</aff>
<aff id="A04">
<institution><![CDATA[,Universidad Nacional de Colombia Grupo de investigación Ciencias y Tecnología de Materiales ]]></institution>
<addr-line><![CDATA[Medellín ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2012</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2012</year>
</pub-date>
<numero>18</numero>
<fpage>105</fpage>
<lpage>114</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S1794-12372012000200009&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S1794-12372012000200009&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S1794-12372012000200009&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[The dielectric behavior of poly(vinyl alcohol) -PVA- crosslinked hydrogels obtained by the repeated freezing/ thawing (F/T) technique have been investigated by dielectric relaxation spectroscopy (DRS) and differential scanning calorimetry (DSC). The crosslinked polymer is produced by the clustering of chains caused by the association of a polar group of the dissolved polymer followed by polymer crystallization. The dielectric spectra obtained from -50 °C to -10 °C show a broad secondary relaxation process associated to local mobility, ß relaxation, which is related to the terminal polar groups (OH). This process is strongly affected by the freezing/thawing cycles applied. The values of tan &delta; are below 1 indicating the dielectric phenomenon is predominant in all samples. The effect of crosslinking PVA on the dynamics of the secondary relaxation process was further analyzed.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Por medio de espectroscopia dieléctrica (DRS) y calorimetría diferencial de barrido (DSC) se investigaron las propiedades dieléctricas de los hidrogeles de alcohol polivinílico -PVA- entrecruzados por ciclos repetidos de la técnica congelamiento/descongelamiento. La asociación de los grupos polares del polímero disuelto seguida de su cristalización produce la reticulación del polímero. La espectroscopia dieléctrica obtenida entre -50 °C y -10 °C demostró la existencia de un proceso de relajación secundario asociado con la movilidad de grupos laterales polares OH de la cadena principal, la relajación &beta;. Los ciclos de congelamiento/descongelamiento afectan fuertemente este proceso. El fenómeno dieléctrico predomina en todas las muestras como lo evidencia el valor menor de 1 de tan &delta;. Además, se analizó el efecto del entrecruzamiento en la dinámica de la relajación secundaria.]]></p></abstract>
<abstract abstract-type="short" xml:lang="pt"><p><![CDATA[Por médio de espectroscopia dielétrica (DRS) e calorimetria diferencial de varredura (DSC) pesquisaramse as propriedades dielétricas dos hidrogeis de álcool polivinílico <img src="img/revistas/eia/n18/n18a09for1.gif">PVA<img src="img/revistas/eia/n18/n18a09for1.gif"> entrecruzados por ciclos repetidos da técnica congelamento/descongelamento. A associação dos grupos polares do polímero dissolvido seguida de sua cristalização produz a reticulação do polímero. A espectroscopia dielétrica obtida entre -50 °C e -10 °C demonstrou a existência de um processo de relaxação secundário associado com a mobilidade de grupos laterais polares OH da corrente principal, a relaxação &beta;. Os ciclos de congelamento/descongelamento afetam fortemente este processo. O fenômeno dielétrico predomina em todas as mostras como o evidência o valor menor de 1 de tan &delta;. Ademais, analisou-se o efeito do entrecruzamento na dinâmica da relaxação secundária.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[dielectric properties]]></kwd>
<kwd lng="en"><![CDATA[hydrogels]]></kwd>
<kwd lng="en"><![CDATA[freezing/thawing]]></kwd>
<kwd lng="en"><![CDATA[dielectric spectroscopy]]></kwd>
<kwd lng="es"><![CDATA[propiedades dieléctricas]]></kwd>
<kwd lng="es"><![CDATA[hidrogeles]]></kwd>
<kwd lng="es"><![CDATA[congelamiento/descongelamiento]]></kwd>
<kwd lng="es"><![CDATA[espectroscopia dieléctrica]]></kwd>
<kwd lng="pt"><![CDATA[propriedades dielétricas]]></kwd>
<kwd lng="pt"><![CDATA[hidrogeis]]></kwd>
<kwd lng="pt"><![CDATA[congelamento/descongelamento]]></kwd>
<kwd lng="pt"><![CDATA[espectroscopia dielétrica]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  <font face="verdana" size="2">          <p align="center"><font size="4"><b>DIELECTRIC PROPERTIES OF POLY(VINYL ALCOHOL) HYDROGELS PREPARED BY FREEZING/THAWING TECHNIQUE</b></font></p>     <p align="center"><font size="3"><b>PROPIEDADES DIEL&Eacute;CTRICAS DE HIDROGELES DE ALCOHOL POLIVIN&Iacute;LICO OBTENIDOS POR LA T&Eacute;CNICA DE CONGELAMIENTO/DESCONGELAMIENTO</b></font></p>     <p align="center"><font size="3"><b>PROPRIEDADES DIEL&Eacute;CTRICAS DE HIDROGEIS DE &Aacute;LCOOL POLIVIN&Iacute;LICO OBTIDOS PELA T&Eacute;CNICA DE CONGELAMENTO/ DESCONGELAMENTO</b></font></p>     <p>&nbsp;</p>     <p><b>Martha Elena Londo&ntilde;o<sup>1</sup>, Juan Manuel Jaramillo<sup>2</sup>, Roser Sabater<sup>3</sup> y Juan Manuel V&eacute;lez<sup>4</sup></b></p>          <p><sup>1</sup> F&iacute;sica, Universidad de Antioquia; Mag&iacute;ster en Ingenier&iacute;a, &Aacute;rea Ingenier&iacute;a Biom&eacute;dica, Universidad Pontificia Bolivariana; Doctora en Ingenier&iacute;a, Ciencia y Tecnolog&iacute;a de Materiales, Universidad Nacional de Colombia. Docente e Investigadora, Grupo de Investigaci&oacute;n GIBEC, Ingenier&iacute;a Biom&eacute;dica, Escuela de Ingenier&iacute;a de Antioquia. Envigado, Colombia. <a href="mailto:pfmalon@eia.edu.co">pfmalon@eia.edu.co</a>.    <br>   <sup>2</sup> F&iacute;sico, Universidad de Antioquia; Mag&iacute;ster, Universidade Estadual de Campinas; Doctor en Ingenier&iacute;a El&eacute;ctrica, Universidade de S&atilde;o Paulo, Brasil e integrante del Grupo de Investigaci&oacute;n Electromagnetismo Aplicado. Profesor Asociado, Universidad EAFIT. Medell&iacute;n, Colombia. <a href="mailto:jjaram44@eafit.edu.co">jjaram44@eafit.edu.co</a>.    <br>   <sup>3</sup> Ingeniera en Electr&oacute;nica y Doctora en Ingenieria Industrial, Universitat Polit&egrave;cnica de Val&egrave;ncia. Profesora Titular e investigadora, Centre de Biomaterials i Enginyeria Tissular, Universitat Polit&egrave;cnica de Val&egrave;ncia. Valencia, Espa&ntilde;a. <a href="mailto:rsabater@die.upv.es">rsabater@die.upv.es</a>.    <br> <sup>4</sup> Mag&iacute;ster y Doctor en Ingenier&iacute;a, Universidade de S&atilde;o Paulo. Profesor e integrante del Grupo de investigaci&oacute;n Ciencias y Tecnolog&iacute;a de Materiales, Universidad Nacional de Colombia, Medell&iacute;n, Colombia. <a href="mailto:jmvelez@unal.edu.co">jmvelez@unal.edu.co</a>.</p>     ]]></body>
<body><![CDATA[<p>Art&iacute;culo recibido 12-IX-2011. Aprobado 20-VIII-2012    <br> Discusi&oacute;n abierta hasta junio de 2013</p> <hr size="1" />              <p><b><font size="3">ABSTRACT</font></b></p>          <p>The dielectric behavior of poly(vinyl alcohol) -PVA- crosslinked hydrogels obtained by the repeated freezing/   thawing (F/T) technique have been investigated by dielectric relaxation spectroscopy (DRS) and differential scanning   calorimetry (DSC). The crosslinked polymer is produced by the clustering of chains caused by the association of   a polar group of the dissolved polymer followed by polymer crystallization. The dielectric spectra obtained from   -50 &deg;C to -10 &deg;C show a broad secondary relaxation process associated to local mobility, &szlig; relaxation, which is   related to the terminal polar groups (OH). This process is strongly affected by the freezing/thawing cycles applied.   The values of tan &delta; are below 1 indicating the dielectric phenomenon is predominant in all samples. The effect of crosslinking PVA on the dynamics of the secondary relaxation process was further analyzed.</p>          <p><font size="3"><b>KEY WORDS</b></font>: dielectric properties; hydrogels; freezing/thawing; dielectric spectroscopy.</p>  <hr size="1" />              <p><font size="3"><b>RESUMEN</b></font></p>          <p>Por medio de espectroscopia diel&eacute;ctrica (DRS) y calorimetr&iacute;a diferencial de barrido (DSC) se investigaron   las propiedades diel&eacute;ctricas de los hidrogeles de alcohol polivin&iacute;lico -PVA- entrecruzados por ciclos repetidos de   la t&eacute;cnica congelamiento/descongelamiento. La asociaci&oacute;n de los grupos polares del pol&iacute;mero disuelto seguida   de su cristalizaci&oacute;n produce la reticulaci&oacute;n del pol&iacute;mero. La espectroscopia diel&eacute;ctrica obtenida entre -50 &deg;C y   -10 &deg;C demostr&oacute; la existencia de un proceso de relajaci&oacute;n secundario asociado con la movilidad de grupos laterales   polares OH de la cadena principal, la relajaci&oacute;n &beta;. Los ciclos de congelamiento/descongelamiento afectan   fuertemente este proceso. El fen&oacute;meno diel&eacute;ctrico predomina en todas las muestras como lo evidencia el valor menor de 1 de tan &delta;. Adem&aacute;s, se analiz&oacute; el efecto del entrecruzamiento en la din&aacute;mica de la relajaci&oacute;n secundaria.</p>     <p><font size="3"><b>PALABRAS CLAVE</b></font>: propiedades diel&eacute;ctricas; hidrogeles; congelamiento/descongelamiento; espectroscopia diel&eacute;ctrica.</p>  <hr size="1" />      <p><b><font size="3">RESUMO</font></b></p>          <p>Por m&eacute;dio de espectroscopia diel&eacute;trica (DRS) e calorimetria diferencial de varredura (DSC) pesquisaramse   as propriedades diel&eacute;tricas dos hidrogeis de &aacute;lcool polivin&iacute;lico <img src="img/revistas/eia/n18/n18a09for1.gif">PVA<img src="img/revistas/eia/n18/n18a09for1.gif"> entrecruzados por ciclos repetidos da   t&eacute;cnica congelamento/descongelamento. A associa&ccedil;&atilde;o dos grupos polares do pol&iacute;mero dissolvido seguida de sua   cristaliza&ccedil;&atilde;o produz a reticula&ccedil;&atilde;o do pol&iacute;mero. A espectroscopia diel&eacute;trica obtida entre -50 &deg;C e -10 &deg;C demonstrou   a exist&ecirc;ncia de um processo de relaxa&ccedil;&atilde;o secund&aacute;rio associado com a mobilidade de grupos laterais polares OH da   corrente principal, a relaxa&ccedil;&atilde;o &beta;. Os ciclos de congelamento/descongelamento afetam fortemente este processo.   O fen&ocirc;meno diel&eacute;trico predomina em todas as mostras como o evid&ecirc;ncia o valor menor de 1 de tan &delta;. Ademais, analisou-se o efeito do entrecruzamento na din&acirc;mica da relaxa&ccedil;&atilde;o secund&aacute;ria.</p>          ]]></body>
<body><![CDATA[<p><font size="3"><b>PALAVRAS-C&Oacute;DIGO</b></font>: propriedades diel&eacute;tricas; hidrogeis; congelamento/descongelamento; espectroscopia diel&eacute;trica.</p>  <hr size="1" />             <p><font size="3"><b>1. INTRODUCTION</b></font></p>          <p>Hydrogels are defined as a physically or chemically   crosslinked polymer network able to absorb   large amounts of water without being dissolved.   Physically cross-linked PVA hydrogels prepared by   repeated freezing and controlled thawing show excellent   properties, when a PVA solution is subjected to   freezing, the pure solvent crystallizes initially, while   the solute stays in the liquid part of the specimen.   Such state leads to stronger polymer-polymer interaction,   which results in a stable three-dimensional   cryogel network (Lozinsky, 1998). Such a technique   produces stable hydrogels that are physically crosslinked   because of the presence of crystalline regions   arising upon the interaction between neighbor polymer   chains due to the hydrogen bonding of pendant   hydroxyls of PVA groups (Hassan and Peppas, 2000;   Hatakeyema <i>et al</i>., 2005; Lozinsky <i>et al</i>., 2008). PVA hydrogels offer several beneficial properties: biocompatibility, biodegradability, high water content, bioinertness, and sterilizability, also they can be molded into desired shapes (Fergg y Keil, 2001; Ricciardi et al., 2003; Cascone <i>et al</i>., 2004). On the other hand, they have been examined in separation processes (Pissis and Kyritsis, 1997; Konsta <i>et al</i>., 1999) and for their application as polymer electrolyte membranes in fuel cells due to the fact they enhance ionic conductivity (Awadhia, Patel and Agrawal, 2006).</p>     <p>Different characterization techniques, such   as cryo-transmission electron microscopy (cryo-TEM), chromatographic or scattering techniques,   mechanical measurements, DSC, X ray diffraction   (Wilcox <i>et al</i>., 1999, McGann <i>et al</i>., 2009), carbon   nuclear magnetic resonance (CNMR), proton and   high resolution solid-state (Ricciardi, Auriemma and   De Rosa, 2005) have been used to study the structure   of PVA hydrogels. It is a complicated network structure,   based on different phenomena: crystallization,   hydrogen bonding, liquid-liquid phase separation,   and covalent bonds. However, most of the characterizations   require the manipulation of the hydrogel   sample, driving changes in the original structure.   For example, by NMR Valent&iacute;n <i>et al</i>. (2009) showed   that PVA hydrogels obtained by F/T cycles exhibit   a complex heterogeneous network structure. The   crystallites are quantitatively detected as a rigid-like   fraction of quickly relaxing magnetization and the   mesh size constraints on the motion of the mobile   chains (i.e., cross-links) that render the segmental   motion locally anisotropic (Valent&iacute;n <i>et al</i>., 2009).   Dielectric measurements were carried out in PVA   films of different crystallinities (not hydrogels) and   a single broad relaxation region was observed at   a low temperature. These investigations show that   the dielectric relaxation process is associated with   the motions of dipole in the amorphous regions of   the polymer (McCrum, Read and Williams, 1991;   Schartel, Wendling and Wendorff, 1996; De La Rosa,   Heux and Cavaill&eacute;, 2001). Although numerous papers   have been devoted to PVA hydrogels obtained   by freezing/thawing, their dielectric behavior has not   yet been studied.</p>     <p>Dielectric spectroscopy is sensitive to the   heterogeneous system and can provide insights   into the structures and electrical properties of the   materials at molecular and macroscopic levels (Ni   and Zhao, 2007). The dielectric constant and dissipation   factor are crucial quantities required in the   design of devices and furthermore, as a function of   temperature or frequency, they reveal much information   on the chemical or physical state of polymer   (Abd El-kader <i>et al</i>., 2008). The dielectric behavior   of polymers is determined by the charge distribution   and also the statistical thermal motion of its polar   groups. Electrical properties of pure and doped PVA   films (Kulanthaisami, Mangalaraj and Narayandass,   1995; Singh and Gupta, 1998; Abd El-kader <i>et al</i>.,   2008), complex electrolytes of PVA and PVA blends   (Mishra and Rao, 1998), solution grown PVA films   (Chandar <i>et al</i>., 1999), polyaniline-polyvinyl alcohol   composites (Dutta, Biswas and Kumar, 2002), PVA   gel electrolytes (Awadhia, Patel and Agrawal, 2006),   solution poly(vinyl alcohol) + poly(vinyl pyrrolidone)   (Sengwa and Sankhla, 2007) have been studied using   different models. To our best knowledge there is no   work about the dielectric behavior studies of PVA   hydrogels obtained by a F/T technique and how this   process and the number of cycles affect the relaxation   processes.</p>     <p>The main aim of this work is to investigate the   dielectric behavior of polyvinyl alcohol hydrogels   with different crosslinking degree obtained by an   F/T technique, between -50 &deg;C and -10 &deg;C, and   1<sup>-1</sup> Hz to 10<sup>6</sup> Hz using dielectric spectroscopy. The   regimes of cryogenic treatment processes have   a pronounced effect on the properties of PVA   hydrogels, and temperatures lower than -10 &deg;C are   usually employed in the F/T technique, so our interest   is in this temperature range.</p>     <p><font size="3"><b>2. EXPERIMENTAL</b></font></p>     <p><font size="3"><b>2.1 Materials and preparation of   PVA hydrogels</b></font></p>     <p>PVA with molecular weight of approximately   89,000 to 98,000 and a degree of hydrolysis 99+ %   (Sigma-Aldrich) was used to prepare an aqueous   solution of 15 % wt PVA by heating the solution at   80 &deg;C and stirring the solution until it was completely   homogeneous. The solution was then cast onto a   glass mold and the samples (dimensions 7,0 x 7,0 x   0,1 cm) were exposed to four, six and twelve cycles   of freezing for 12 hours at -20 &deg;C and thawing 20 &deg;C   at a rate of 1.8 &deg;C/min to obtain physical crosslinked   hydrogels; the degree of crosslinking varies with the   number of F/T cycles. After that, the samples were   dried in a vacuum oven (at 25 &deg;C) until constant   weight.</p>     <p><font size="3"><b>2.2 Characterization</b></font></p>     ]]></body>
<body><![CDATA[<p><font size="3"><b><i>2.2.1 Differential scanning calorimetry</i></b></font></p>     <p>Differential scanning calorimetry (DSC Jade,   Perkin Elmer) was used to analyze the crystalline   nature, melting point and glass transition temperature   of PVA hydrogels prepared by F/T processes. In   a typical experiment, 6-8 mg of a dried sample were   placed in an aluminum pan and cooled until -40 &deg;C   to freeze the sample and then heated at a scanning   rate of 5 &deg;C/min from -50 &deg;C to 250 &deg;C.</p>     <p><font size="3"><b><i>2.2.2 Dielectric relaxation spectroscopy</i></b></font></p>     <p>The dielectric measurements were performed   using an impedance analyzer Alpha-S from Novocontrol   Technologies, covering a frequency range   from 1&times;10<sup>-1</sup> Hz to 1&times;10<sup>6</sup> Hz. The samples of the   PVA system were placed between two electrodes   (10 mm of diameter) of a parallel plate capacitor.   The sample cell with active head dielectric converter   was mounted on a controlled temperature cryostat   (BDS 1100) and exposed to a heated gas stream being   evaporated from a liquid nitrogen dewar. The   temperature control was assured by the Novocontrol   Quatro cryosystem and performed within &plusmn;0.5 &deg;C.   The isothermal experiments were performed from   -50 &deg;C to -10 &deg;C every 5 &deg;C and the dielectric response   (complex permittivity &epsilon;* and conductivity &sigma;) were   determined as a function of frequency.</p>     <p><font size="3"><b>3. RESULTS AND DISCUSSION</b></font></p>     <p>The crosslinked nature of the hydrogels obtained   in this study can be proved putting the samples   in polar and apolar solvents and noting the insoluble   character of samples (Hickey and Peppas, 1995). <a href="#fig1">Figure   1</a> shows the DSC curves of PVA hydrogel samples.   The peaks around 217, 216 and 220 &deg;C correspond   to the apparent melting point of the PVA hydrogel   crystallites, where the temperature became lower   with 4 and 6 cycles F/T. The degree of crystallinity   rises with increasing the number of cycles of cryogenic   treatment (Hickey and Peppas, 1995; Lozinsky   <i>et al</i>., 2008), the increases in the crystallinity for the   samples with 6 and 12 cycles F/T are probably due   to the oriented crystallization (Nakano <i>et al</i>., 2007).   This is evident with the corresponding heat of fusion   value. The samples that were exposed to four, six   and twelve cycles of F/T had a similar glass transition   temperature from 66 to 70 &deg;C. The small changes   in the glass transition temperature can be due to a   decrease in the number of hydroxyl groups available   for hydrogen bonding caused by an increase of the   entanglement which hinders other hydrogen bonding   formation from weakening of physical network   and decreasing <i>T<sub>g</sub></i> (Shafee and Naguib, 2003).</p>       <p align="center"><img src="img/revistas/eia/n18/n18a09fig1.gif"><a name="fig1"></a></p>     <p>The dielectric behaviors of PVA hydrogels   obtained by different cycles of F/T have been studied   and results are analyzed below in terms of different   parameters. <a href="#fig2">Figures 2a</a>, <a href="#fig2">2b</a> and <a href="#fig2">2c</a> show the variation   of the dielectric constant <i>&epsilon;'</i> with frequency of   temperatures between -50 and -10 &deg;C for xerogels of   PVA with different crosslinking degrees (4, 6 and 12   F/T cycles respectively). It is observed from the figures   that the dielectric constant <i>&epsilon;'</i> continuously decreases   with increasing frequency. The rapid decreases in the   dielectric constant noticed over the frequency range   10<sup>-1</sup> to 104 Hz may be attributed to the tendency of   dipoles in macromolecules to orient themselves in   the direction of the applied field in the low frequency   range. However, in the high frequency range the   dipoles will hardly be able to orient themselves in the   direction of the applied field, and hence the value of   the dielectric constant decreases (Blythe and Bloor,   2005). The sample with fewer cycles, 4, shows high   <i>&epsilon;'</i> values. This can be understood in terms of the   degree of crosslinking and changes in crystallinity.   Crystallization prevents the movement in the chains;   the crystalline phase is rigid and shows no dielectric   relaxation processes and, as a consequence, the dielectric   response is lower (Blythe and Bloor, 2005).   The increase in the number of dipoles is due to less   crosslinking in the sample. It was also observed that   temperature affects the dielectric properties of PVA   hydrogels. In fact, the rise in the temperature and   the resulting drop in relaxation time of the sample   increase the degree of the dipole orientation and   consequently enhance the value of the dielectric   constant (Singh and Gupta, 1998).</p>       <p align="center"><img src="img/revistas/eia/n18/n18a09fig2.gif"><a name="fig2"></a></p>     <p><a href="#fig3">Figures 3a</a>, <a href="#fig3">3b</a> and <a href="#fig3">3c</a> show the variation of   dielectric loss, <i>&epsilon;''</i>, with frequency of temperatures   between -50 and -10 &deg;C for PVA hydrogels with 4,   6 and 12 F/T cycles. All samples exhibit relaxation   processes, b relaxation; this relaxation is caused   by some local movement of side dipole groups,   in this case by motions of hydroxyl groups (Hickey   and Peppas, 1995). High dielectric loss values   are observed for the samples with fewer F/T   cycles, which may be due to the lower degree of   crosslinking present in the sample with 4 cycles   which in turn makes the neighboring network chain   more flexible; hence the conductivity increases.   From <a href="#fig3">figure 3</a> it can also be observed that the   temperature largely influences the dielectric loss   of the samples and the intensity of this relaxation   rises with the increases of temperature (De La Rosa,   Heux and Cavaill&eacute;, 2001).</p>       ]]></body>
<body><![CDATA[<p align="center"><img src="img/revistas/eia/n18/n18a09fig3.gif"><a name="fig3"></a></p>     <p>It is worth notice that the sample with 12 F/T   cycles has a different behavior both in <i>&epsilon;'</i> and <i>&epsilon;''</i> due a   greater crowding caused by the increase of the mass   density due to the entanglement and crosslinking in   the sample.</p>     <p><font size="3"><b>3.1 Dielectric loss tan &delta; (f)</b></font></p>     <p><a href="#fig4">Figures 4a</a>, <a href="#fig4">4b</a> and <a href="#fig4">4c</a> present the frequency   dependence of tan &delta;, equal <i>&epsilon;''</i> / <i>&epsilon;'</i>, for PVA hydrogels   with different F/T cycles at temperatures between   -50 and -10 &deg;C. The tan &delta; spectrum shows relaxation   process for all samples, and as the degree of   crosslinking increases, the magnitude of the   relaxation peak decreases (Kao, 2004) and the   breadth increases (Casalini and Roland, 2010). The   values of tan &delta; are below 1 indicating the dielectric   phenomenon is predominant in all samples.</p>       <p align="center"><img src="img/revistas/eia/n18/n18a09fig4.gif"><a name="fig4"></a></p>     <p><font size="3"><b>3.2 Conductivity (AC)</b></font></p>     <p>The plots of A.C. conductivity vs frequency   for hydrogels with different cycles of F/T are shown   in <a href="#fig5">figures 5a</a>, <a href="#fig5">5b</a> and <a href="#fig5">5c</a>. The conductivity increases   linearly with the frequency at temperatures below   zero (-50 to -10 &deg;C). This linear variation is described   by &sigma;<sub>&alpha;c</sub> = &alpha;&omega;<sup>n</sup>; where &alpha; is a constant, &omega; is the angular   frequency and n is a value close to 1. This conduction   takes place via localized hopping of carriers   between randomly distributed trapping centers   (Kulanthaisami, Mangalaraj and Narayandass, 1995).   The low values of conductivity may suggest the electrode   polarization is not significant in these samples   (Pietrucha and Marzec, 2005).</p>       <p align="center"><img src="img/revistas/eia/n18/n18a09fig5.gif"><a name="fig5"></a></p>     <p><a href="#fig6">Figure 6</a> represents the plot &tau;<sub>max</sub>(1/2&pi;<i>f</i>) as a   function of reciprocal temperature (as calculated   experimentally from the maximum of <i>&epsilon;''</i> ) and fitted to   a straight line. The relaxation process can be modeled   by Arrhenius temperature dependence equation:</p>     <p align="center">&tau;(<i>T</i>) = &tau;<sub>0</sub><i>e</i><sup><i>Ea</i>/<i>kT</i></sup>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(1)</p>     ]]></body>
<body><![CDATA[<p align="center"><img src="img/revistas/eia/n18/n18a09fig6.gif"><a name="fig6"></a></p>     <p>where &tau;<sub>max</sub> is the relaxation frequency at which   tan &delta; is maximum, Ea is the energy barrier for dipole   relaxation (activation energy) and &tau;<sub>0</sub> is the constant   parameter characteristic for a particular relaxation   process. The activation energies, taken from slopes   on the straight line, for the PVA xerogels at 4, 6, 12   F/T cycles were 68.027, 68.917 and 55.537 kJ/mol   respectively. These results suggest that the samples   submitted to 4 and 6 cycles had the lowest binding   forces which oppose dipolar reorientation (Abd Elkader <i>et al</i>., 2008). The difference in the apparent   activation energy between the samples with less F/T   cycles and the sample with 12 F/T cycles is around   13 kJ/mol indicating the influence of the crosslinking   existence in the hydrogels (Ghilarducci, Salva and   Marzocca, 2009) and how the number of F/T cycles   affects the activation energy. The lack of dependence   of the activation energy on the degree of crosslinking   is caused by the counterbalance exerted between the   concentration of hydrogen bonds and the density of   chemical branch points in local mobility (Shteinberg <i>et al</i>., 1980), but chemical branch points do not exist   in PVA hydrogels and therefore no balance exists   and this could cause the change in the energy of   activation with crosslinking. The increases in the   value of activation energy may be related with the   increases of crosslinking degree which depends on   the number of F/T cycles; high degree of crosslinking   severely reduces molecular mobility (Kaiser, 1989)   due to increases of the mass density (Casalini and   Roland, 2010). Likewise, relaxation times become   larger for the sample with 12 cycles, 3,0x10<sup>-16</sup> s,   shorter for 6 and 4 cycles, 8,0x10<sup>-19</sup> s and 7,0x10<sup>-19</sup> s   respectively. The increase in the relaxation time for   the sample with 12 cycles is evidence of the effect of   greater crowding caused by the increase of the mass   density due to the entanglement and crosslinking in   the sample (De La Rosa, Heux and Cavaill&eacute;, 2001).   However, this effect is less visible between samples   with 4 and 6 F/T cycles.</p>     <p><font size="3"><b>4. CONCLUSIONS</b></font></p>     <p>Study of dielectric behavior of PVA hydrogels   obtained by F/T technique with different crosslinking   degrees showed that dielectric constant and dielectric   loss diminish due to the increase of crosslinking   degree. Only one relaxation was observed in all   samples, the &beta; dielectric relaxation which increases   with the increase of temperature and corresponds to   some local movement of OH groups. In the samples   studied, the values of tan &delta; below 1 suggest that the   dielectric phenomena are predominant, whereas the   conduction takes place via localized hopping of carriers.   Energy of activation and relaxation time have a   complex dependence on number of F/T cycles due   to different structures obtained by this process. The   greater crowding caused by the increase of the mass   density due to the entanglement and crosslinking   in the polymer disturb the dielectric properties of   the hydrogels. 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