<?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>0370-3908</journal-id>
<journal-title><![CDATA[Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. acad. colomb. cienc. exact. fis. nat.]]></abbrev-journal-title>
<issn>0370-3908</issn>
<publisher>
<publisher-name><![CDATA[Academia Colombiana de Ciencias Exactas, Físicas y Naturales]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0370-39082016000300004</article-id>
<article-id pub-id-type="doi">10.18257/raccefyn.357</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Study and characterization of the micellar phase of the polyethylene glycol 40 stearate, water, and soy lecithin system]]></article-title>
<article-title xml:lang="es"><![CDATA[Estudio y caracterización de la fase micelar del sistema formado a partir del polietilenglicol 40 estearato, agua y lecitina de soja]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Díaz-Lagos]]></surname>
<given-names><![CDATA[Mercedes]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Montalvo-García]]></surname>
<given-names><![CDATA[Gemma]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Valiente-Martínez]]></surname>
<given-names><![CDATA[Mercedes]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Martínez-Ovalle]]></surname>
<given-names><![CDATA[Segundo Agustín]]></given-names>
</name>
<xref ref-type="aff" rid="A03"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad Pedagógica y Tecnológica de Colombia Grupo de Ingeniería Geológica ]]></institution>
<addr-line><![CDATA[Sogamoso ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="A02">
<institution><![CDATA[,Universidad de Alcalá Department of Analytical Chemistry, Physical Chemistry, and Chemical Engineering ]]></institution>
<addr-line><![CDATA[Alcalá de Henares ]]></addr-line>
<country>Spain</country>
</aff>
<aff id="A03">
<institution><![CDATA[,Universidad Pedagógica y Tecnológica de Colombia Grupo de Física Nuclear Aplicada y Simulación ]]></institution>
<addr-line><![CDATA[Tunja ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>01</day>
<month>09</month>
<year>2016</year>
</pub-date>
<pub-date pub-type="epub">
<day>01</day>
<month>09</month>
<year>2016</year>
</pub-date>
<volume>40</volume>
<numero>156</numero>
<fpage>412</fpage>
<lpage>419</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0370-39082016000300004&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0370-39082016000300004&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0370-39082016000300004&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Hydrophobically modified polymers (HMPs) have become of great importance as modifiers of rheological behavior, and as thickening agents for a great variety of products such as paints, foods, cosmetics, and medicines. HMPs are able to dissolve hydrophobic and hydrophilic molecules, just like surfactants. This means that HMPs combine the properties of surfactants and polymers. In this paper, the ability of HMPs to self-aggregate in water and in the presence of soy lecithin (a natural lipid which behaves as a dipolar surfactant) was studied. The characterization of the micellar phase of the soy lecithin/polyethelyne glycol 40 stearate (Acid S40P, nonionic)/water ternary system is presented by way of surface tension, optic microscope, and rheology methods. From the results, it is deduced that non-spherical micellar aggregates are formed, which orient in the direction of the flow under shear stress. Oscillation tests allowed for the determination that the viscous modulus G&#39;&#39; is greater than the elastic modulus G&#39;, with behavior described by the Maxwell model.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Los polímeros hidrofóbicamente modificados (PHM) han adquirido una gran importancia como modificadores de comportamiento reológico, agentes espesantes en una gran variedad de productos como son pinturas, alimentos, cosmética o medicamentos. Estos polímeros PHM tiene la capacidad de solubilizar moléculas hidrofóbicas al igual que los tensioactivos. Es decir, los PHM combinan las propiedades de los tensioactivos y de los polímeros. En este trabajo en general se estudiará la capacidad de los PHM de autoagregarse y comportarse como tensioactivos. Se presenta el estudio de la fase micelar del sistema ternario lecitina de soja (lípido natural que se comporta como tensioactivo doblemente iónico)/ polietilenglicol 40 estearato (Acid S40P, no iónico)/agua. La caracterización se realiza mediante los métodos de tensión superficial, microscopia óptica y reología. De los resultados se deduce que se forman agregados micelares no esféricos que se orientan en la dirección del flujo bajo los esfuerzos de cizalla. Los ensayos de oscilación permitieron determinar que el modulo viscoso G&#39;&#39; es superior al elástico G&#39;, con un comportamiento descrito por el modelo de Maxwell de un elemento.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Lipids]]></kwd>
<kwd lng="en"><![CDATA[Soy lecithin]]></kwd>
<kwd lng="en"><![CDATA[Hydrophobically modified polymers]]></kwd>
<kwd lng="en"><![CDATA[Surface tension]]></kwd>
<kwd lng="en"><![CDATA[Optic microscope]]></kwd>
<kwd lng="en"><![CDATA[Rheology]]></kwd>
<kwd lng="es"><![CDATA[Lípidos]]></kwd>
<kwd lng="es"><![CDATA[Lecitina de soja]]></kwd>
<kwd lng="es"><![CDATA[Polímeros hidrofóbicamente modificados]]></kwd>
<kwd lng="es"><![CDATA[Polietilénglicol 40 estearato]]></kwd>
<kwd lng="es"><![CDATA[Reología]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  <font face="verdana" size="2"> &nbsp;    <p>doi: <a href="http://dx.doi.org/10.18257/raccefyn.357" target="_blank">http://dx.doi.org/10.18257/raccefyn.357</a></p> &nbsp;    <p><font size="4">    <center> <b>Study and   characterization of the micellar phase of the   polyethylene glycol 40 stearate, water, and soy lecithin system</b> </center></font></p> &nbsp;    <p><font size="3">    <center> <b>Estudio y caracterizaci&oacute;n de la fase micelar del sistema formado a partir del polietilenglicol 40   estearato, agua y lecitina de soja</b> </center></font></p> &nbsp;    <p>    <center> <b>Mercedes D&iacute;az-Lagos<sup>1</sup>, Gemma Montalvo-Garc&iacute;a<sup>2</sup>, Mercedes Valiente-Mart&iacute;nez<sup>2</sup>, Segundo   Agust&iacute;n Mart&iacute;nez-Ovalle<sup>3,</sup>*</b> </center></p>     <p><sup>1</sup> Grupo de Ingenier&iacute;a Geol&oacute;gica, Universidad Pedag&oacute;gica   y Tecnol&oacute;gica de Colombia, Sogamoso, Colombia    <br> <sup>2</sup> Department of   Analytical Chemistry, Physical Chemistry, and Chemical Engineering, Universidad   de Alcal&aacute;, Alcal&aacute; de   Henares, Spain    ]]></body>
<body><![CDATA[<br> <sup>3</sup> Grupo de F&iacute;sica Nuclear Aplicada y Simulaci&oacute;n,   Universidad Pedag&oacute;gica y Tecnol&oacute;gica de Colombia, Tunja, Colombia. <b>*Corresponding author: </b>Segundo   Agust&iacute;n Mart&iacute;nez-Ovalle, <a href="mailto:s.agustin.martinez@gmail.com">s.agustin.martinez@gmail.com</a></p>     <p><b>Recibido: </b>04 de abril de   2016. <b>Aceptado: </b>20 de mayo de 2016</p> <hr size="1">     <p><b>Abstract</b></p>     <p>Hydrophobically modified polymers   (HMPs) have become of great importance as modifiers of rheological behavior,   and as thickening agents for a great variety of products such as paints, foods,   cosmetics, and medicines. HMPs are able to dissolve hydrophobic and hydrophilic   molecules, just like surfactants. This means that HMPs combine the properties of   surfactants and polymers. In this paper, the ability of HMPs to self-aggregate in   water and in the presence of soy lecithin (a natural lipid which behaves as a dipolar   surfactant) was studied. The characterization of the micellar phase of the soy lecithin/polyethelyne glycol 40 stearate   (Acid S40P, nonionic)/water ternary system is presented by way of surface tension,   optic microscope, and rheology methods. From the results, it is deduced that   non-spherical micellar aggregates are formed, which orient   in the direction of the flow under shear stress. Oscillation tests allowed for the   determination that the viscous modulus G&#39;&#39; is greater than the elastic modulus G&#39;,   with behavior described by the Maxwell model.</p>     <p><b>Key words: </b>Lipids; Soy lecithin; Hydrophobically modified polymers; Surface tension; Optic   microscope; Rheology.</p> <hr size="1">     <p><b>Resumen</b></p>     <p>Los pol&iacute;meros hidrof&oacute;bicamente modificados (PHM)   han adquirido una gran importancia como modificadores de comportamiento reol&oacute;gico, agentes espesantes en una gran variedad de productos   como son pinturas, alimentos, cosm&eacute;tica o medicamentos. Estos pol&iacute;meros PHM   tiene la capacidad de solubilizar mol&eacute;culas hidrof&oacute;bicas al igual que los tensioactivos. Es decir, los PHM combinan   las propiedades de los tensioactivos y de los pol&iacute;meros.   En este trabajo en general se estudiar&aacute; la capacidad de los PHM de autoagregarse y comportarse como tensioactivos.   Se presenta el estudio de la fase micelar del sistema   ternario lecitina de soja (l&iacute;pido natural que se comporta como tensioactivo doblemente i&oacute;nico)/ polietilenglicol 40 estearato (Acid S40P, no i&oacute;nico)/agua. La caracterizaci&oacute;n   se realiza mediante los m&eacute;todos de tensi&oacute;n superficial, microscopia &oacute;ptica y reolog&iacute;a. De los resultados se deduce que se forman agregados micelares no esf&eacute;ricos que se orientan en la direcci&oacute;n   del flujo bajo los esfuerzos de cizalla. Los ensayos de oscilaci&oacute;n permitieron determinar   que el modulo viscoso G&#39;&#39; es superior al el&aacute;stico G&#39;, con un comportamiento   descrito por el modelo de Maxwell de un elemento. </p>     <p><b>Palabras clave: </b>L&iacute;pidos; Lecitina   de soja; Pol&iacute;meros hidrof&oacute;bicamente modificados; Polietil&eacute;nglicol 40 estearato; Reolog&iacute;a.</p> <hr size="1"> &nbsp;    <p><font size="3"><b>Introduction</b></font></p>     <p>The interaction between surfactants   and polymers in solu- tions has received much attention due to the numerous applications ranging from pure science   to everyday life and industry (e.g. pharmaceuticals, biomedical applications,   detergents, oil recovery, paints, foods, and mineral processing) (<b>Goddard &amp; Ananthapadmanaban, </b>1993; <b>Kwak</b>,   1998; <b>Jonsson</b><b><i>, et al., </i></b>1998).</p>     ]]></body>
<body><![CDATA[<p>Amphiphilic molecules such as   lipids or surfactants spontaneously form a great variety of stable structures with   their corresponding properties. The control of said supra-molecular structures   at a microscopic level, adjusting for the different intermolecular interactions   that are responsible for their arrangement, leads to a broad range of different   microscopic properties of the material. This is particularly important for the application   of multifunctional devices, but requires a complete understanding of the transformation   mechanisms of the structures involved in order to take complete advantage of their   nature to create a variety of new functional materials (<b>Koynova</b><b> &amp; Tenchov</b>, 2001).</p>     <p>In aqueous solutions, amphiphilic molecules form micelles. These are generally spherical   structures where the polar groups are on the surface and the non-polar parts   remain immersed on the inner side of the micelle. In non- polar structures, reverse   micelles are formed, with their hydro-phobic groups on the exterior. Polymeric micelles   are formed by chains of polymers made up of hydrophilic and hydrophobic parts separated   in blocks. Surfactants have the ability to modify the surface tension of the solutions   to which they are added, and at a certain concentration they begin to form molecular   aggregates known as micelles. The formation of micellar aggregates begins to occur at the critical micelle concentration, or CMC, whose   value can be determined using surface tension measurements. The critical micelle   concentration (CMC) is the concentration at which micelles begin to form, and it   is a characteristic of every amphiphilic system. The lower   the CMC, the more stable the micelles are at lower concentrations of amphiphiles in the medium. For double-chain lipids and amphiphilic molecules, the formation of lamellar phases (bilayers   of surfactants separated by layers of water) is preferred to micelles. They can   have an open and extended bilayer structure, or enclosed bilayers forming   vesicles or liposomes.</p>     <p>Polyethylene glycol (PEG) is a frequently   used polymer, as it is highly soluble and a good stearic protector of micro-particles   in biological media due to its biocompatibility. In many cases, PEG is modified   by grafting hydrophobic molecules of cosmetic or pharmaceutical interest (such   as certain antibiotics) to its polymer chain, which also facilitate the formation   of micelles (<b>Torchelin</b>, 2002). Although composites   derived from PEG are widely used in mixtures with lipids, the nature of the interactions   between the lipids and polymers are unknown, and in some cases present contradictory   results. Through previous research, it is known that the presence of polyethylene   glycol of different molecular weights (PEG-6000 or PEG-2000) does not significantly   affect the interactions between water molecules and the choline groups of lecithin   (<b>Khan<i>, et al., </i></b>1994). Nevertheless, other authors suggest that the   presence of PEG-8000 induces the dehydration of the polar head of the phospholipids   due to changes in the size and shape of the phospholipid vesicles (<b>Bartucci</b><b><i>, et al., </i></b>1996). When PEG is grafted   onto the phospholipid chains, it results in improved stability of the liposomes   that are formed (<b>Nikolova</b><b> &amp; Jones, </b>1998).</p>     <p>Polyethylene glycol 40 stearate (PEG   40 monostearate) is considered a nonionic surfactant and   emulsifier for cosmetic formulations of the oil-in-water emulsion type, with a hydrophilic-lipophilic   balance (HLB) of 16.9. It has also been used as a cosurfactant in solid lipid nanoparticles (<b>Torchelin</b>, 2002; <b>Khan<i>, et al., </i></b>1994; <b>Bartucci</b><b><i>,     et al., </i></b>1996). Soy lecithin is also a phospholipid that is dipolar in nature   (zwitterionic) and comes from natural sources. It is biodegradable,   and does not present problems from a toxicology standpoint. For this reason, the   system formed by both of these components is also environmentally friendly. This   is of great interest for applications in the administration of pharmaceuticals (<b>Torchelin</b>, 2002; <b>Khan<i>, et al., </i></b>1994; <b>Bartucci</b><b><i>, et al., </i></b>1996). The advantages   of using a derivative of polyethylene glycol (PEG), with its high hydrophilic nature,   is that it is biologically inert and does not affect the other parts of the body   (<b>Nikolova</b><b> &amp; Jones</b>, 1998), though few   studies have been conducted regarding the effects of PEG stearate in lipid formulations   (<b>Li<i>, et al., </i></b>2008; <b>Xia<i>, et al., </i></b>2008; <b>Xia<i>, et     al., </i></b>2009; <b>Naumann</b><b><i>, et al., </i></b>2001).</p>     <p>For these reasons, this paper centered   on the rheological phase study   of the micellar phase of the ternary soy lecithin/PEG   40 stearate/water system. Firstly, the binary PEG 40 monosterate/water   system was characterized for the determination of the critical micelle concentration   (CMC) and of its viscoelastic properties using rheology. The viscoelastic characterization   of this system is of great interest, as the industrial process for manufacturing commercial products with these   components implies the application of shear stress. The following observations were   noted: the aggregation or phase behavior of the ternary system in the area of interest   at lecithin contents of less than 20% by weight, and the viscoelastic behavior of   the micellar phase, which is the only single-phased region   that was formed in the area under study.</p> &nbsp;    <p><font size="3"><b>Materials and   methods</b></font></p>     <p><b>Preparation of samples. </b>The   soy lecithin (Epikuron 200) was obtained from Degussa   and was used without further purification. This lecithin is a mixture of phos- phatidylcholines with fatty   acid chains of varying lengths and degrees of unsaturation. The main component is   linoleic acid, which has 18 carbons. The PEG 40 monostearate,   known commercially as TEGO or Acid S40P (referred to hereinafter as S40P), was purchased   from Goldschmidt GmbH of Essen, Germany. Its chemical structure (CH<sub>3</sub>-   (CH2)<sub>16</sub> CO(-OCH<sub>2</sub> CH<sub>2</sub> )<sub>40</sub> -OH) shows   that it is a hydropho- bically modified PEG polymer and that it has surfactant properties due to a hydrophobic   tail of 17 carbons (stearate) and a large hydrophilic head of 40 groups of poly   (oxyethylene). The presence of groups not containing   ethylene oxide was negligible.</p>     <p>All of the samples were prepared in   deionized water and all of the appropriate quantities of each component were weighed   in small flasks with screw caps. The system was homogenized using a Heidolph Reax 2000 test tube shaker.   When a sample did not mix well at room temperature, it was gently heated to a temperature   of no more than 60 &deg;C to aid solubilization. Once the   samples were ready, they were stored in a water bath at 30.0 &plusmn; 0.1&deg;C for the time   necessary so that no changes in their appearance. Once thermodynamic equilibrium   was reached at the desired temperature, the samples were visually ana- lyzed. The presence of foam,   precipitate, color, turbidity, transparency, homogeneity, or any other characteristic   that presented itself was addressed. The optical birefringence was observed using   crossed polarizers.</p>     <p><b>Surface Tension. </b>The   surface tension of the aqueous solutions of various concentrations of S40P was measured   with a LAUDA TE-1C Tensiometer using the ring method.   All measurements were carried out at 30.0 &plusmn; 0.1 &deg;C, and each experiment was repeated   multiple times, obtaining good reproducibility.</p>     <p>The surface excess concentration (<font face="Symbol" size="3">G</font><sub>2</sub>)   was estimated using the Gibbs adsorption isotherm equation (Eq. 1) and the hydrophilic   surface area per molecule in the air-water interface using Eq. 2</p>     ]]></body>
<body><![CDATA[<p>    <center><img src="img/revistas/racefn/v40n156/v40n156a04e1.gif"></center></p>       <p>R is the ideal gas constant (J/mol&middot;K); T is the temperature in &deg;K; C is the concentration of   the surfactant S40P in the solution; <i><font face="Symbol" size="3">g</font> </i>is the surface tension of the   solution in N/m; N<sub>A</sub> is Avogadro&#39;s number; and is the hydrophilic surface   area of the molecule expressed in nm<sup>2</sup>/molecule.</p>     <p><b>Optic Microscope. </b>The   lamellar phases that form lipids demonstrate optical birefringence. The presence   of these types of structures was studied using a Nikon Eclipse 50i optic microscope equipped with   crossed polarizers and a Nikon Coolpix 8400 digital camera. These observations were   carried out for a minimum of two months, as the state of the aggregation of the   sample could have possibly changed in the time needed to reach thermodynamic equilibrium.   The micellar samples are isotropic due to the crossed polarizers, and therefore cannot be observed using the polarizing optic microscope.</p>     <p><b>Rheology. </b>To study the rheological   behavior of the pre- pared systems, rheological experiments using the Carrimed CSL 100 rheometer were scheduled.   The flow and the oscillatory behavior were measured using a cone and plate   viscometer with a radius of 20 mm and an angle of 4: 0: 31 (deg:   min: s). All measurements were made at 30.0 &plusmn; 0.1 &deg;C. The temperature was maintained   by a Peltier device in contact with a plate. A chamber   was used to prevent evaporation of the sample during measurement. All of the results   showed good reproducibility in the standard addi- tions and in the oscillatory experiments, as well as in   repetitions of the experiments using the same samples.</p>     <p>The flow curves were measured using   the application of a series of increasing shear stresses for duration of two minutes   spaced logarithmically. The viscosity (<font face="Symbol" size="3">h</font>) was calculated by taking the quotient of the shear stress and the sheer rate.</p>     <p>The oscillatory experiments were performed   under linear viscoelastic conditions, where deformation is independent of the shear   stress applied. The angular frequency of oscillation (<i><font face="Symbol" size="3">w</font>=2<font face="Symbol" size="3">p</font>f</i>) was   varied from 0.1 a 20 Hz, at constant amplitude of oscillating shear stress. In the   analysis of the micellar samples, the Maxwell model was   applied (a spring and a damper connected in series). The dynamic properties of Maxwell   materials can be represented by a linear differential equation whose solutions   are:</p>     <p>    <center><img src="img/revistas/racefn/v40n156/v40n156a04e2.gif"></center></p>     <p><i><font face="Symbol" size="3">w</font> </i>is the angular   frequency and <i><font face="Symbol" size="3">t</font> </i>is the relaxation time. The storage modulus <i>G&#39; </i>and   the loss modulus <i>G&#39;&#39; </i>are the components of the complex modulus <i>G</i>*   (the relaxation of the force amplitude and the deformation amplitude), and are related   to the complex viscosity <i><font face="Symbol" size="3">h</font></i>* by Eq. 5:</p>     ]]></body>
<body><![CDATA[<p>    <center><img src="img/revistas/racefn/v40n156/v40n156a04e3.gif"></center></p>     <p>The Maxwell model predicts that at   a high angular velocity, the value of the storage modulus will reach a plateau,   while the loss modulus reaches a maximum. The inverse of the frequency at which <i>G&#39; </i>and <i>G&#39;&#39; </i>intersect is the structural relaxation time.</p> &nbsp;    <p><font size="3"><b>Results and   discussion</b></font></p>     <p><b>Determination of   the critical micelle concentration (CMC). </b>The CMC value of the binary Acid S40P/water   system was determined to be the point of the sudden change in surface tension by   plotting said value as a function of the logarithmic concentration of Acid S40P.   In <a href="#f1">Figure 1</a>, the CMC corresponds to the point of intersection of the regression lines in regions II and III. The   CMC value obtained was 5.1 X 10<sup>-5</sup> M, reaching a constant surface tension   value of around 40 mN/m. Using the slope of the line segment   found in region two of <a href="#f1">Figure 1</a>, the excess surface tension was obtained (<font face="Symbol" size="3">G</font><sub>2</sub>),   which was estimated using the equation Gibbs adsorp tion isotherm equation (Eq. 1), giving a value of 1.24 Ã— 10<sup>-6</sup> mol&middot;m<sup>-2</sup>. This value corresponds to the hydrophilic surface area per molecule   of the air-water interface of 1.4 nm<sup>2</sup> (obtained using Eq. 2). This area   per molecule is relatively large, and is consistent with the molecular structure   of PEG 40 stearate, which can exert a lot of lateral pressure as a result of its   large hydrophilic head with 40 groups of poly (oxyethylene).</p>     <p>    <center><a name="f1"><img src="img/revistas/racefn/v40n156/v40n156a04f1.gif"></a></center></p>     <p><b>Determination of   phase behavior. </b>The   determination of the phase behavior was studied using two methods. The first of   which consisted of the preparation of aqueous solutions with different concentrations   of the polymer Acid S40P to observe and establish the solubility of this polymer   in water (binary system). We call this system the Acid S40P/water system. The second   method involved preparing solutions fixed Acid S40P/lecithin ratios of 1.9, 9, and   20. In this manner, the areas of interest were delineated in the ternary phase diagram   for the Acid S40P/ lecithin/water diagram.</p>     <p>The determination of the phases present   in each sample was performed initially by direct visual observation. Using this   method, the number of phases present in each sample vial was determined, as well   as the turbidity or transparency and fluidity or isotropic nature of each sample   using crossed polarizers. This allowed for the delineation of the areas shown in   <a href="#f2">Figure 2</a> in magenta, blue, and green.</p>     <p>    ]]></body>
<body><![CDATA[<center><a name="f2"><a href="img/revistas/racefn/v40n156/v40n156a04f2.gif" target="_blank">Figure 2</a></a></center></p>     <p>In the diagram, the magenta area corresponds   to the area that is rich in water, where a region of emulsions appears, which are   separated into two phases, resulting in a white precipitate on the bottom and an   isotropic solution above it. This separation occurred in less than a week, and said   area was not studied in detail. The area shown in blue extends across the binary   water/Acid S40P axis, and the region of lecithin concentrations of less than 20%   by weight. In said area, samples with Acid S40P/Lecithin ratios of 9 and 20 were   studied. These concentrations were chosen because they are found within the region   that can generate the formation of the micellar phase,   as the system has the characteristics of a transparent phase (as seen in <a href="#f2">Figure   2</a> in the magnified region) of low viscosity and isotropy.</p>     <p>When the content of Acid S40P and   progressively the content of lecithin (green region) increase, there is a macroscopic   multi-phase region of dispersions with indeterminate milky liquid yellow appearance,   with a macroscopic appearance like that seen in <a href="#f3">Figure 3</a>a. The sample was observed   to be 50% Acid S40P, 33% lecithin, and 17% water by weight using a polarizing microscope   (see sample 20 shown in <a href="#f3">Figure 3</a>a regarding solubilization at an Acid S40P/lecithin ratio of 1.5) This sample was chosen to represent the multi-phase   region where New phases may form due to higher contents of lecithin and the tendency   of this lipid to form liposomes.</p>     <p>    <center><a name="f3"><img src="img/revistas/racefn/v40n156/v40n156a04f3.gif"></a></center></p>     <p><a href="#f3">Figure 3</a>b and <a href="#f3">3</a>c show the microphotographs   taken of the areas indicated by the arrows, which are the homogeneous intermediate and the turbid upper foam zones, respectively.   The presence of a lamellar phase dispersed in an isotropic phase was confirmed.   The Maltese crosses (refer to the area inside the green circle in <a href="#f3">Figure 3</a>b for   details) and the mosaic birefringent areas (see <a href="#f3">Figure   3</a>c) are distinct characteristics of a lamellar structure (<b>Cox and Merz, </b>1958). <b>Montalvo</b><b><i>,     et al., </i></b>(2013) determined the regions and the various structures that form   in the Acid S40P/lecithin/water system, creating a broader range of concentrations   in the phase diagram for higher contents of soy lecithin than those presented in   this study.</p>     <p><b>Determination of   viscoelastic behavior. </b>To examine and compare the changes in viscoelasticity,   flow tests were performed on the systems that are the subject of this study, namely   Acid S40P/water and Acid S40P/lecithin/ water. Samples from both systems that presented   a stable homogeneous phase were studied. In <a href="#f4">Figure 4</a>, the curves corresponding to   the samples of the binary system Acid S40P/water are shown. In each case, newtonian behavior was present, with viscosity being independent   of the gradient of the shear velocity. The viscosity values that were estimated   presumably correspond to the micellar aggregates in the   aqueous solutions due to the data found regarding the CMC using the surface tension   method and due to the display of newtonian behavior. Thus,   the existence of aggregates of spherical structure in the aqueous solution is   proposed.</p>     <p>    <center><a name="f4"><a href="img/revistas/racefn/v40n156/v40n156a04f4.gif" target="_blank">Figure 4</a></a></center></p>     <p>To evaluate the effects of the surfactant   on viscosity, the viscosity values are presented as a function of the percentage   of polymer composition. In <a href="#f4">Figure 4</a>b, the viscosity at a shear velocity of zero   significantly increases as the content of S40P increases, up to a value of 50% by   weight. The existence of a maximum can be attributed to the presence of a large   number of aggregates and an increase in size. If the micelles are large enough to   be highly flexible at the maximum concentration value, viscosity will decrease.   The same behavior was found in microemulsions with HM-PEG (<b>Karlsson</b><b><i>, et al., </i></b>1999) and   for micelles in systems with surfactants (<b>Karlsson</b><b><i>,     et al., </i></b>1999; <b>Antunes</b><b><i>, et al., </i></b>2003; <b>Montalvo</b><b><i>, et al., </i></b>2003). Continually   increasing the surfactant content (Acid S40P) resulted in an abrupt decrease in   the viscosity up to a composition of 70% surfactant. The decrease in viscosity as   a result of an increase in concentration has been reported in aqueous solutions   with end-capped PEG polymers (<b>Cox &amp; Merz</b>, 1958).   At a value of 75% surfactant content, viscosity begins to increase once again, probably   because this is the limit of the region where turbid multiphase samples form.</p>     ]]></body>
<body><![CDATA[<p>The samples in the blue area of <a href="#f2">Figure   2</a> corresponding to the single-phase homogeneous and stable system S40P/ lecithin/water   with Acid S40P/lecithin ratios of 9 and 20 were also studied. In the stipulated   conditions of the experiments, the behavior shown in Figure 5a was observed, where   samples with a 65% Acid S40P content (sample 26) and a 70% Acid S40P content (sample   23) act as newtonian fluids, while all other samples displayed   a pseudoplastic behavior, that is to say, their viscosity   is initially constant, but decreases as the gradient of the shear velocity increases.</p>     <p>Regarding the samples with pseudoplastic behavior, the high values of viscosity and   the dependency of the viscosity upon the gradient of the shear velocity are indications   that the aggregates in the aqueous solution were elongated (<b>Karlson</b><b><i>,     et al., </i></b>1999; <b>Shikata</b><b><i>, et al., </i></b>1988; <b>Rehage</b><b> &amp; Hoffmann</b>, 1991; <b>Clausen<i>,       et al., </i></b>1992). Initially, the constant viscosity value (newtonian regime) is due to the randomly distributed   elongated aggregates, but when a shear stress is applied to these aggregates, they   tend to orient themselves in the direction of the flow, resulting in a decrease   in viscosity. The lower the gradient of the shear velocity produced by the   decrease in viscosity, the more flexible the micelles, which can therefore orient   themselves more easily.</p>     <p>The samples that displayed newtonian behavior had a high viscosity value when compared   to those of the Acid S40P/water system with the same proportion of polymers, and   also possessed newtonian characteristics. Although there   is no clear evidence of the formation of a cylindrical micelle structure for these   systems, it is possible that the aggregates were already elongated, but were smaller   in size, meaning that in order to orient themselves in the direction of the   flow they would require higher shear velocities.</p>     <p><a href="#f5">Figure 5</a>b shows that as the viscosity   (newtonian regime values) increased, it reached a maximum   of 50% and then decreased in relation to the Acid S40P/lecithin up until a value   of 70%. When comparing these results to those shown in <a href="#f4">figure 4</a>b, the same behavior   is observed. The rise in viscosity can be explained by an increase in the size of   the aggregates in the solution and their greater flexibility, corroborated by a   lower critical shear velocity value at which the drop in viscosity occurs (<a href="#f5">Figure   5</a>a). When the surfactant content is above 50%, viscosity decreases (<b>Cortes<i>,     et al., </i></b>1999). The open dots on the graph have a higher lecithin content   than those represented by the closed dots. The different values evidence the interaction   of the lecithin with the Acid S40P.</p>     <p>    <center><a name="f5"><a href="img/revistas/racefn/v40n156/v40n156a04f5.gif" target="_blank">Figure 5</a></a></center></p>     <p>Both moduli <i>G&#39; </i>and <i>G&#39;&#39; </i>increase   with the angular frequency predicted using Maxwell model 2 and 1, respectively (see   <a href="#f6">Figure 6</a>b). Although the Maxwell model predicts that at a high angular velocity,   the value of the storage modulus will reach a plateau, while the loss modulus reaches   a maximum. This did not occur within the range of frequencies that were observed.   The moduli <i>G&#39; </i>and <i>G&#39;&#39; </i>were adjusted simultaneously using the equations   of the Maxwell model, where the relaxation time <font face="Symbol" size="3">t</font> and the plateau value for <i>G</i>o are the only adjustment parameters. The obtained relaxation time values   were 9.5 (&plusmn; 0.5) ms and 4.8 (&plusmn; 0.2) ms for the samples with a 50% and 54% Acid S40P content by weight   respectively. These values are of the same order of magnitude as those of micelles   in viscoelastic rod form (<b>Khromova</b><b><i>, et     al., </i></b>2001).</p>     <p>    <center><a name="f6"><a href="img/revistas/racefn/v40n156/v40n156a04f6.gif" target="_blank">Figure 6</a></a></center></p>     <p>For the purposes of comparing the   elasticity of each of the samples, the loss tangent has been plotted against the   frequency of the oscillation (<a href="#f6">Figure 6</a>c). The loss tangent is a dimensionless parameter   defined as the ratio of the loss or viscous modulus <i>G&#39;&#39; </i>and the storage   or elastic modulus <i>G&#39;</i>.</p>     ]]></body>
<body><![CDATA[<p>In examining <a href="#f6">Figure 6</a>, it is observed   that the loss tangent continuously decreases as the frequency increases, with a   slope of approximately -1, in accordance with Maxwellian behavior. All of its values are greater than 1, which indicates a greater viscosity   than elasticity in the samples (<b>Montalvo</b><b><i>,     et al., </i></b>2003). In this particular case, the sample of composition 50% Acid   S40P/5.5% lecithin (sample 28) has higher tangent loss values than those of the   sample of composition 54% Acid S40P/6% lecithin (sample 5), which means that the   highest elastic contribution is found in sample 5, whose composition was 54% Acid   S40P/6% lecithin.</p> &nbsp;    <p><font size="3"><b>Conclusion</b></font></p>     <p>The formation of multiple phases is   possible in systems with hydrophobically modified polymers,   as evidenced by the ternary phase diagram presented for Acid S40P/lecithin/ water.   The use of a phospholipid mixture augments the com plexity of the system and its number of degrees of freedom.</p>     <p>In some cases, various macroscopically   separated co-existent phases were observed, emphasizing the lack of homogeneity   in certain regions. A micellar region forms in this system   that has been characterized through the determination of the CMC of the micelles   of Acid S40P in water and by measuring viscosity. The samples of the Acid S40P/water   system acted as newtonian fluids, which suggests that   their micelle formations tend to be spherical. When linking the viscosity values   obtained for each of the samples to the Acid S40P value in percent by weight, a   decrease in viscosity is observed when the content of Acid S40P exceeds 50%. This   may be due to a gradual change at the molecular level from a structure that contains micellar aggregates that are interconnected via polymer   bridging to a more molten state where the hydrophilic and hydrophobic microaggregation is less pronounced.</p>     <p>When the soy lecithin was added to   the Acid S40P/water system, it was concluded that it interacted with the Acid S40P,   and that the nature of the interaction was probably hydrophobic. The majority of   the samples behaved as pseudoplastic fluids. Initially,   the constant viscosity value (newtonian regime) is due   to the randomly distributed elongated aggregates, but when a shear stress is applied   to these aggregates, they tend to orient themselves in the direction of the flow,   resulting in a decrease in viscosity. The viscosity of the newtonian regime increases with the content of Acid S40P, but as is the case with the system   that does not contain lecithin, the viscosity decreases when the Acid S40P content   is above 50%. With respect to the behavior</p>     <p>of the samples analyzed in the oscillatory   tests, the viscous modulus <i>G&#39;&#39; </i>was greater than the elastic modulus <i>G&#39;</i>.   This behavior is consistent with the Maxwell model.</p>     <p><b>Acknowledgments</b></p>     <p>The authors are grateful to Professor   Michael Gradzielski forcontacting Evonic Goldschmidt GmbH, who supplied us withthe TEGO Acid S40P reagent and M. Diaz is grateful for her   scholarship to the Agencia Espa&ntilde;ola de Cooperaci&oacute;nInternacional para el Desarrollo (AECID), Universidad   de Alcal&aacute; and Banco Santander,   through the &quot;Becas Miguel de Cervantes Saavedra&quot; Program.</p>     <p><b>Conflict of interest</b></p>     <p>Author declare do not have any conflict   of interest about the content of the article.</p> &nbsp;    ]]></body>
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<ref-list>
<ref id="B1">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Antunes]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<name>
<surname><![CDATA[Thuresson]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Lindman]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
<name>
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