{"id":2780,"date":"2018-03-21T11:42:12","date_gmt":"2018-03-21T14:42:12","guid":{"rendered":"https:\/\/www.nachodelatorre.com.ar\/mosconi\/?p=2780"},"modified":"2018-03-21T11:42:12","modified_gmt":"2018-03-21T14:42:12","slug":"prilado-y-recubrimiento-de-dinitramida-de-amonio-adn-para-propulsantes-solidos-verde-en-la-mezcla-de-tolueno-mediante-sonicacion-de-ultrasonido","status":"publish","type":"post","link":"https:\/\/www.fie.undef.edu.ar\/ceptm\/?p=2780","title":{"rendered":"Prilado y recubrimiento de dinitramida de amonio (ADN) para propulsantes s\u00f3lidos \u201cverde\u201d en la mezcla de tolueno mediante sonicaci\u00f3n de ultrasonido"},"content":{"rendered":"<p>La ADN (H<sub>4<\/sub>N<sub>4<\/sub>O<sub>4<\/sub>) en su forma gen\u00e9rica tiene una estructura acicular larga que dificulta su carga en estado s\u00f3lido. Por ello, es conveniente optimizar su morfolog\u00eda cristalina en forma octagonal. Por otra parte, la gran higroscopia del ADN lo inutiliza en climas h\u00famedos, Por lo que es necesario la encapsulaci\u00f3n de sus cristales en un pol\u00edmero hidrof\u00f3bico.\u00a0En el trabajo de la referencia, ADN fue sintetizada por nitraci\u00f3n de sulfamato de potasio (H<sub>2<\/sub>KNO<sub>3<\/sub>S) con mezcla sulfon\u00edtrica. El producto fue luego recubierto con un pol\u00edmero (poliestireno o HTPB) y tratado con ultrasonido para obtener part\u00edculas semiesf\u00e9ricas recubiertas de ADN.\u00a0<!--more--><\/p>\n<div class=\"html-body\">\n<section id=\"sec1-aerospace-05-00029\">\n<p data-nested=\"1\"><strong>1. Introduction<\/strong><\/p>\n<div class=\"html-p\">The utility of Ammonium Dinitramide (ADN) as a highly energetic oxidizer has several advantages in terms of performance, stability [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B1-aerospace-05-00029\">1<\/a>], and environmental friendliness as compared to conventional Ammonium Perchlorate (AP)-based propellants [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B2-aerospace-05-00029\">2<\/a>]. However, solid grain casting of raw ADN is hindered by its needle shape [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B3-aerospace-05-00029\">3<\/a>] and by its high moisture absorption tendency and lower critical humidity level (55.2% RH). Previous experiments have shown that the moisture absorption of ADN is higher than that of AP [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B4-aerospace-05-00029\">4<\/a>]. The hygroscopicity of ADN can be decreased by coating it with hydrophobic polymers [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B3-aerospace-05-00029\">3<\/a>,<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B5-aerospace-05-00029\">5<\/a>,<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B6-aerospace-05-00029\">6<\/a>] such as hydroxyl terminated polybutadiene (HTPB), polystyrene (PS), and polyacrylate (PA). Otherwise, specifications given on the particle size, particle layout geometry, and surface area under the experimental conditions have seldom been described in the literature. These factors, i.e., particle morphology and water absorption [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B7-aerospace-05-00029\">7<\/a>], are known to reduce the Theoretical Maximum Density (TMD) and, consequently, the specific impulse of the ADN solid grain.<\/div>\n<div class=\"html-p\">Many methods have been utilized to alter the crystal particle morphology of energetic materials, such as melt prilling [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B6-aerospace-05-00029\">6<\/a>], ultrasound-assisted crystallization [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B7-aerospace-05-00029\">7<\/a>], solvent crystallization [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B8-aerospace-05-00029\">8<\/a>], and spray crystallization [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B9-aerospace-05-00029\">9<\/a>]. Melt prilling, which is an important process in conventional production of ADN, possesses several drawbacks, such as volumetric expansion in the melting phase and it being hazardous due to high operating temperature. In fact, ADN decomposes slowly in its molten condition, generating nitrous oxides [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B10-aerospace-05-00029\">10<\/a>,<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B11-aerospace-05-00029\">11<\/a>] and creating cavities and fractures during solidification into the final grain. During solidification, a volumetric shrinkage of up to 14% creates foam on the surface of ADN grain [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B10-aerospace-05-00029\">10<\/a>].<\/div>\n<div class=\"html-p\">The ultrasonic method is interesting as it acts as a source of mechanical energy, allowing us to reduce the ADN particle size and changing the crystal morphology. The importance of improving the crystal morphology can be highlighted by its ability to increase the specific impulse by 30% to 50% [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B12-aerospace-05-00029\">12<\/a>]. Successful modification of RDX crystal morphology by ultrasound was previously reported [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B9-aerospace-05-00029\">9<\/a>,<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B13-aerospace-05-00029\">13<\/a>], but not for ADN. It is known that ultrasound treatment can induce oxidation reactions for many substrates, as reported in [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B14-aerospace-05-00029\">14<\/a>,<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B15-aerospace-05-00029\">15<\/a>]. However, ADN does not undergo decomposition or oxidative reactions during such treatment, unless sodium hydroxide was added [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B16-aerospace-05-00029\">16<\/a>].<\/div>\n<div class=\"html-p\">In this study, we investigate the use of an ultrasound sonication technique to alter the morphology and improve the hygroscopicity of the ADN particles. Scanning electron microscopy (SEM) is used to examine the change in morphology. From the SEM images, the change in particle shape can be observed, while the mean particle size can be measured. Water absorption tests were carried out to evaluate the effect of polymeric coating, i.e., PS and HTPB, on the hygroscopicity of the ADN particles. Finally, the thermal stability of the coated ADN particles are studied using differential scanning calorimetry (DSC).<\/div>\n<\/section>\n<section id=\"sec2-aerospace-05-00029\">\n<p data-nested=\"1\"><strong>2. Materials and Methods<\/strong><\/p>\n<section id=\"sec2dot1-aerospace-05-00029\">\n<p class=\"html-italic\" data-nested=\"2\"><strong>2.1. ADN Synthesis<\/strong><\/p>\n<div class=\"html-p\">ADN used in this study was synthesized by nitration of potassium sulfamate with nitric acid and sulfuric acid at \u221245 \u00b0C [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B17-aerospace-05-00029\">17<\/a>,<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B18-aerospace-05-00029\">18<\/a>].<\/div>\n<div class=\"html-p\">First, potassium sulfamate was prepared in bulk by the neutralization of potassium hydroxide with sulfamic acid at stoichiometric ratios. The neutralized solution was concentrated to 50% volume in a rotary evaporator. It was then added into ethanol at a 1:2 ratio by volume to obtain precipitation. The precipitate of potassium sulfamate was filtered, washed with ethanol, dried overnight at 70 \u00b0C, and stored for use in further experiments.<\/div>\n<div class=\"html-p\">In the second step, potassium sulfamate was nitrated with a mixture of nitric acid and sulfuric acid at \u221245 \u00b0C for 25 min. The nitration reaction was stopped by diluting it with crushed ice. Subsequently, the diluted mixture was neutralized by potassium hydroxide. The mixture was dried in a rotary evaporator at 60 \u00b0C. The dried powder was extracted with acetone and filtered. Then, 2-propanol was added into the acetone solution to obtain precipitation. The precipitation was filtered and discarded. The solution was evaporated in a rotary evaporator at 60 \u00b0C to half of its initial volume.\u00a0<span class=\"html-italic\">n<\/span>-hexane was added into the solution until the precipitate of potassium dinitramide (KDN) was visible. The precipitated KDN is usually in the range of 80 to 90 wt % purity, as determined by UV spectroscopy. The KDN was then converted to ADN by reacting it with ammonium sulfate in water.<\/div>\n<div class=\"html-p\">After the conversion to ADN, the entire solution was evaporated at 70 \u00b0C to obtain dry powder. This dry powder was then extracted with ethyl acetate and collected. The collected ethyl acetate solution of ADN was then dried in a rotary evaporator to obtain pure ADN. The purity was determined by UV spectroscopy to be in range of 99 to 99.5 wt %.<\/div>\n<\/section>\n<section id=\"sec2dot2-aerospace-05-00029\">\n<p class=\"html-italic\" data-nested=\"2\"><strong>2.2. Melt Prilling and Coating of Pristine ADN by Conventional Method<\/strong><\/p>\n<div class=\"html-p\">Melt prilled ADN samples were prepared according to the method given in [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B6-aerospace-05-00029\">6<\/a>]. Here, 0.5 g of dried pristine ADN was added in 50 mL paraffin oil, followed by the addition of 0.01 g (2 wt % w.r.t. ADN) Cab-o-sil at 100 \u00b0C under strong agitation. The mixture was cooled to room temperature. The prilled ADN was then filtered and washed with\u00a0<span class=\"html-italic\">n<\/span>-hexane to remove traces of paraffin oil. The filtrate product of prilled ADN particles were then added to a mixture of polystyrene (PS) in 50 mL dichloromethane and evaporated in a rotary evaporator to obtain coated AND [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B6-aerospace-05-00029\">6<\/a>]. In the second experiment, PS was replaced with hydroxyl-terminated polybutadiene (HTPB).<\/div>\n<\/section>\n<section id=\"sec2dot3-aerospace-05-00029\">\n<p class=\"html-italic\" data-nested=\"2\"><strong>2.3. Prilling and PS Coating of Pristine ADN Particles by Ultrasound Sonication<\/strong><\/p>\n<div class=\"html-p\">Here, 0.5 g ADN particles were added to 50 mL of toluene mixture, which also included 0.01 g Cab-o-Sil (2 wt % w.r.t. ADN), 0.01 g cetyltrimethylammonium bromide (CTAB) (2 wt % w.r.t. ADN), 0.01 g graphene powder (Graphene Nano powder, 8 nm flakes AO-2, Graphene Supermarket, Calverton, NY, USA) (2 wt % w.r.t. ADN), and 0.025 g PS (5 wt % w.r.t. ADN). The mixture was then sonicated (Elmasonic P, Elma, Singen, Germany) for 60 min at 60 \u00b0C at 37 kHz in a glass test tube. After sonication, the mixture was poured into a beaker containing 100 mL of\u00a0<span class=\"html-italic\">n<\/span>-hexane at room temperature and again sonicated for 5 min to avoid particle agglomeration. Then, the mixture was evaporated at 45 \u00b0C under vacuum to obtain ADN particles coated with PS. The experimental setup is shown in\u00a0<a class=\"html-fig html-figpopup\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#fig_body_display_aerospace-05-00029-f001\">Figure 1<\/a>. The experiments were repeated by replacing toluene with dichloromethane,\u00a0<span class=\"html-italic\">n<\/span>-hexane and petroleum ether but were all unsuccessful due to poor dissipation of ADN particles and evaporation during sonication.<\/div>\n<div id=\"aerospace-05-00029-f001\" class=\"html-fig-wrap\">\n<div class=\"html-fig_img\">\n<div class=\"html-figpopup html-figpopup-link\"><img src=\"http:\/\/www.mdpi.com\/aerospace\/aerospace-05-00029\/article_deploy\/html\/images\/aerospace-05-00029-g001-550.jpg\" alt=\"Aerospace 05 00029 g001 550\" data-large=\"\/aerospace\/aerospace-05-00029\/article_deploy\/html\/images\/aerospace-05-00029-g001.png\" data-original=\"\/aerospace\/aerospace-05-00029\/article_deploy\/html\/images\/aerospace-05-00029-g001.png\" \/><\/div>\n<\/div>\n<div class=\"html-fig_description\"><b>Figure 1.<\/b>\u00a0Experimental setup of Ammonium Dinitramide (ADN) sonication. Pristine ADN particles sonicated in toluene mixture.<\/div>\n<\/div>\n<\/section>\n<section id=\"sec2dot4-aerospace-05-00029\">\n<p class=\"html-italic\" data-nested=\"2\"><strong>2.4. Prilling and HTPB Coating of Pristine ADN Particles by Ultrasound Sonication<\/strong><\/p>\n<div class=\"html-p\">Toluene mixture was prepared according to the same procedures in\u00a0<a class=\"html-sec\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#sec2dot3-aerospace-05-00029\">Section 2.3<\/a>without the adding of PS. An HTPB mixture, which consisted of toluene diisocyanate (TDI), glycerol, and HTPB monomer, was prepared separately. Composition of the mixture is given in\u00a0<a class=\"html-table html-tablepopup\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#table_body_display_aerospace-05-00029-t001\">Table 1<\/a>. The HTPB mixture was added into the toluene mixture together with ADN particles.<\/div>\n<div id=\"aerospace-05-00029-t001\" class=\"html-table-wrap\">\n<div class=\"html-table_wrap_discription\"><b>Table 1.<\/b>\u00a0Composition of hydroxyl terminated polybutadiene (HTPB) in toluene mixture.<\/div>\n<div class=\"html-table_wrap_td\">\n<div class=\"html-tablepopup html-tablepopup-link\"><img src=\"http:\/\/img.mdpi.org\/img\/table.png\" alt=\"Table\" \/><\/div>\n<\/div>\n<\/div>\n<div class=\"html-p\">The mixture was then sonicated for 60 min at 60 \u00b0C at 37 kHz in a glass test tube. After sonication, the mixture was poured into a beaker containing 100 mL\u00a0<span class=\"html-italic\">n<\/span>-hexane at room temperature and then the mixture was evaporated at 70 \u00b0C (boiling point of\u00a0<span class=\"html-italic\">n<\/span>-hexane is 68 \u00b0C) under vacuum to obtain ADN particles coated with HTPB. A higher temperature of 70 \u00b0C was used to cure the HTPB.<\/div>\n<\/section>\n<section id=\"sec2dot5-aerospace-05-00029\">\n<p class=\"html-italic\" data-nested=\"2\"><strong>2.5. Morphology and Thermal Stability<\/strong><\/p>\n<div class=\"html-p\">The coated ADN samples were kept at room temperature in a humidity-controlled chamber with 20% relative humidity (RH). During the particle shape analysis under SEM (Quanta400F, FEI, Hillsboro, OR, USA), the use of high energy radiation and high zoom levels were avoided as they may cause decomposition in the ADN samples. The thermal characteristics of the samples were analyzed by DSC (Mettler Toledo 1 STAR, Mettler Toledo, Greifensee, Switzerland) of 35 \u00b0C to 300 \u00b0C at 10 \u00b0C min<sup>\u22121<\/sup>\u00a0heating rate with a nitrogen gas purge.<\/div>\n<\/section>\n<section id=\"sec2dot6-aerospace-05-00029\">\n<p class=\"html-italic\" data-nested=\"2\"><strong>2.6. Water Absorption Test<\/strong><\/p>\n<div class=\"html-p\">The moisture absorption tests were performed by placing 0.3 to 0.5 g of the sample in an enclosed environment with a uniform airflow rate of 5 L min<sup>\u22121<\/sup>. The humidity of the chamber was maintained at 65 \u00b1 2% RH [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B20-aerospace-05-00029\">20<\/a>] by passing the air from a saturated solution of ammonium nitrate (AN). The weight of the sample was recorded at 60 min intervals for a total period of 240 min to determine the water absorption. The experimental setup is shown in\u00a0<a class=\"html-fig html-figpopup\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#fig_body_display_aerospace-05-00029-f002\">Figure 2<\/a>.<\/div>\n<div id=\"aerospace-05-00029-f002\" class=\"html-fig-wrap\">\n<div class=\"html-fig_img\">\n<div class=\"html-figpopup html-figpopup-link\"><img src=\"http:\/\/www.mdpi.com\/aerospace\/aerospace-05-00029\/article_deploy\/html\/images\/aerospace-05-00029-g002-550.jpg\" alt=\"Aerospace 05 00029 g002 550\" data-large=\"\/aerospace\/aerospace-05-00029\/article_deploy\/html\/images\/aerospace-05-00029-g002.png\" data-original=\"\/aerospace\/aerospace-05-00029\/article_deploy\/html\/images\/aerospace-05-00029-g002.png\" \/><\/div>\n<\/div>\n<div class=\"html-fig_description\"><b>Figure 2.<\/b>\u00a0Experimental setup for moisture absorption test. The sample is in an enclosed container exposed to wet air and weighted periodically.<\/div>\n<\/div>\n<\/section>\n<\/section>\n<section id=\"sec3-aerospace-05-00029\">\n<p data-nested=\"1\"><strong>3. Results and Discussion<\/strong><\/p>\n<div class=\"html-p\">The main objective of these experiments was to increase the density ADN particles by altering the morphology of pristine ADN particles into spherical particles and to add an effective hydrophobic polymer coating. The conventional prilling method involves the melting of ADN. This could pose a potential safety hazard as the energetic ADN particles may decompose during the prilling process. Therefore, the new method based on ultrasound treatment was utilized for alteration of ADN crystal morphology and hydrophobic polymer coating. The main criterion for the ultrasound treatment of ADN was the selection of a suitable sonication medium. First, an organic solvent, which has no solubility toward ADN but has solubility toward the coating polymer, was highly desirable. Secondly, the boiling point of the solvent needed to be sufficiently high to sustain the ultrasound treatment without evaporation. In addition, the solvent needed to be removed easily by vacuum evaporation. This was necessary because excess solvent has to be removed without exposure to atmosphere.<\/div>\n<section id=\"sec3dot1-aerospace-05-00029\">\n<p class=\"html-italic\" data-nested=\"2\"><strong>3.1. Selection of Sonication Medium and Polymer<\/strong><\/p>\n<div class=\"html-p\">The reduction in particle size is dependent on the surface energy of solids\u00a0<span id=\"MathJax-Element-1-Frame\" class=\"MathJax\" style=\"box-sizing: inherit; max-height: none; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 19.0667px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;inline&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;mo stretchy=&quot;false&quot;&gt;(&lt;\/mo&gt;&lt;mi&gt;&amp;#x3C3;&lt;\/mi&gt;&lt;mo stretchy=&quot;false&quot;&gt;)&lt;\/mo&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-1\" class=\"math\"><span id=\"MathJax-Span-2\" class=\"mrow\"><span id=\"MathJax-Span-3\" class=\"semantics\"><span id=\"MathJax-Span-4\" class=\"mrow\"><span id=\"MathJax-Span-5\" class=\"mo\">(<\/span><span id=\"MathJax-Span-6\" class=\"mi\">\u03c3<\/span><span id=\"MathJax-Span-7\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/span>\u00a0[<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B21-aerospace-05-00029\">21<\/a>]. The interfacial tension\u00a0<span id=\"MathJax-Element-2-Frame\" class=\"MathJax\" style=\"box-sizing: inherit; max-height: none; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 19.0667px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;inline&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;\/mo&gt;&lt;mi&gt;&amp;#x3B3;&lt;\/mi&gt;&lt;mo&gt;)&lt;\/mo&gt;&lt;\/mrow&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-8\" class=\"math\"><span id=\"MathJax-Span-9\" class=\"mrow\"><span id=\"MathJax-Span-10\" class=\"semantics\"><span id=\"MathJax-Span-11\" class=\"mrow\"><span id=\"MathJax-Span-12\" class=\"mrow\"><span id=\"MathJax-Span-13\" class=\"mo\">(<\/span><span id=\"MathJax-Span-14\" class=\"mi\">\u03b3<\/span><span id=\"MathJax-Span-15\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0is the measure of interfacial energy between two immiscible fluids, or solid-fluid, given as [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B21-aerospace-05-00029\">21<\/a>]<\/p>\n<div id=\"FD1-aerospace-05-00029\" class=\"html-disp-formula-info\">\n<div class=\"f\">\n<div class=\"MathJax_Display\"><span id=\"MathJax-Element-3-Frame\" class=\"MathJax\" style=\"box-sizing: inherit; max-height: none; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 17.16px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x3B3;&lt;\/mi&gt;&lt;mrow&gt;&lt;mn&gt;12&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x3B3;&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x3B3;&lt;\/mi&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/msub&gt;&lt;mo&gt;&amp;#x2212;&lt;\/mo&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;\/mo&gt;&lt;mrow&gt;&lt;msubsup&gt;&lt;mi&gt;&amp;#x3B3;&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;mi&gt;d&lt;\/mi&gt;&lt;\/msubsup&gt;&lt;mo&gt;&amp;#xB7;&lt;\/mo&gt;&lt;msubsup&gt;&lt;mi&gt;&amp;#x3B3;&lt;\/mi&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;mi&gt;d&lt;\/mi&gt;&lt;\/msubsup&gt;&lt;\/mrow&gt;&lt;mo&gt;)&lt;\/mo&gt;&lt;\/mrow&gt;&lt;\/mrow&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mfrac&gt;&lt;\/mrow&gt;&lt;\/msup&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-16\" class=\"math\"><span id=\"MathJax-Span-17\" class=\"mrow\"><span id=\"MathJax-Span-18\" class=\"semantics\"><span id=\"MathJax-Span-19\" class=\"mrow\"><span id=\"MathJax-Span-20\" class=\"msub\"><span id=\"MathJax-Span-21\" class=\"mi\">\u03b3<\/span><span id=\"MathJax-Span-22\" class=\"mrow\"><span id=\"MathJax-Span-23\" class=\"mn\">12<\/span><\/span><\/span><span id=\"MathJax-Span-24\" class=\"mo\">=<\/span><span id=\"MathJax-Span-25\" class=\"msub\"><span id=\"MathJax-Span-26\" class=\"mi\">\u03b3<\/span><span id=\"MathJax-Span-27\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-28\" class=\"mo\">+<\/span><span id=\"MathJax-Span-29\" class=\"msub\"><span id=\"MathJax-Span-30\" class=\"mi\">\u03b3<\/span><span id=\"MathJax-Span-31\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-32\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-33\" class=\"mn\">2<\/span><span id=\"MathJax-Span-34\" class=\"msup\"><span id=\"MathJax-Span-35\" class=\"mrow\"><span id=\"MathJax-Span-36\" class=\"mrow\"><span id=\"MathJax-Span-37\" class=\"mo\">(<\/span><span id=\"MathJax-Span-38\" class=\"mrow\"><span id=\"MathJax-Span-39\" class=\"msubsup\"><span id=\"MathJax-Span-40\" class=\"mi\">\u03b3<\/span><span id=\"MathJax-Span-41\" class=\"mi\">d<\/span><span id=\"MathJax-Span-42\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-43\" class=\"mo\">\u22c5<\/span><span id=\"MathJax-Span-44\" class=\"msubsup\"><span id=\"MathJax-Span-45\" class=\"mi\">\u03b3<\/span><span id=\"MathJax-Span-46\" class=\"mi\">d<\/span><span id=\"MathJax-Span-47\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-48\" class=\"mo\">)<\/span><\/span><\/span><span id=\"MathJax-Span-49\" class=\"mrow\"><span id=\"MathJax-Span-50\" class=\"mfrac\"><span id=\"MathJax-Span-51\" class=\"mn\">1<\/span><span id=\"MathJax-Span-52\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<\/div>\n<div class=\"l\"><label>(1)<\/label><\/div>\n<\/div>\n<\/div>\n<div class=\"html-p\">Equation (1) is termed the Fowkes correlation, where\u00a0<span id=\"MathJax-Element-4-Frame\" class=\"MathJax\" style=\"box-sizing: inherit; max-height: none; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 19.0667px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;inline&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x3B3;&lt;\/mi&gt;&lt;mrow&gt;&lt;mn&gt;12&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-53\" class=\"math\"><span id=\"MathJax-Span-54\" class=\"mrow\"><span id=\"MathJax-Span-55\" class=\"semantics\"><span id=\"MathJax-Span-56\" class=\"mrow\"><span id=\"MathJax-Span-57\" class=\"msub\"><span id=\"MathJax-Span-58\" class=\"mi\">\u03b3<\/span><span id=\"MathJax-Span-59\" class=\"mrow\"><span id=\"MathJax-Span-60\" class=\"mn\">12<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0is the interfacial tension and\u00a0<span id=\"MathJax-Element-5-Frame\" class=\"MathJax\" style=\"box-sizing: inherit; max-height: none; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 19.0667px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;inline&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;msubsup&gt;&lt;mi&gt;&amp;#x3B3;&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;mi&gt;d&lt;\/mi&gt;&lt;\/msubsup&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-61\" class=\"math\"><span id=\"MathJax-Span-62\" class=\"mrow\"><span id=\"MathJax-Span-63\" class=\"semantics\"><span id=\"MathJax-Span-64\" class=\"mrow\"><span id=\"MathJax-Span-65\" class=\"msubsup\"><span id=\"MathJax-Span-66\" class=\"mi\">\u03b3<\/span><span id=\"MathJax-Span-67\" class=\"mi\">d<\/span><span id=\"MathJax-Span-68\" class=\"mn\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0and\u00a0<span id=\"MathJax-Element-6-Frame\" class=\"MathJax\" style=\"box-sizing: inherit; max-height: none; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 19.0667px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;inline&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;msubsup&gt;&lt;mi&gt;&amp;#x3B3;&lt;\/mi&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;mi&gt;d&lt;\/mi&gt;&lt;\/msubsup&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-69\" class=\"math\"><span id=\"MathJax-Span-70\" class=\"mrow\"><span id=\"MathJax-Span-71\" class=\"semantics\"><span id=\"MathJax-Span-72\" class=\"mrow\"><span id=\"MathJax-Span-73\" class=\"msubsup\"><span id=\"MathJax-Span-74\" class=\"mi\">\u03b3<\/span><span id=\"MathJax-Span-75\" class=\"mi\">d<\/span><span id=\"MathJax-Span-76\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0refer to dispersion forces to the surface tension by liquid 1 and liquid 2, respectively [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B21-aerospace-05-00029\">21<\/a>]. In this case, materials 1 and 2 would be the combinations of ADN, toluene, PS, and graphene with each other, as shown in\u00a0<a class=\"html-table html-tablepopup\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#table_body_display_aerospace-05-00029-t002\">Table 2<\/a>.<\/div>\n<div id=\"aerospace-05-00029-t002\" class=\"html-table-wrap\">\n<div class=\"html-table_wrap_discription\"><b>Table 2.<\/b>\u00a0Interface energy of different components calculated using Equation (2).<\/div>\n<div class=\"html-table_wrap_td\">\n<div class=\"html-tablepopup html-tablepopup-link\"><img src=\"http:\/\/img.mdpi.org\/img\/table.png\" alt=\"Table\" \/><\/div>\n<\/div>\n<\/div>\n<div class=\"html-p\">However, the value of dispersion forces can be assumed to be 1, giving [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B22-aerospace-05-00029\">22<\/a>]<\/p>\n<div id=\"FD2-aerospace-05-00029\" class=\"html-disp-formula-info\">\n<div class=\"f\">\n<div class=\"MathJax_Display\"><span id=\"MathJax-Element-7-Frame\" class=\"MathJax\" style=\"box-sizing: inherit; max-height: none; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 17.16px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x3B3;&lt;\/mi&gt;&lt;mrow&gt;&lt;mn&gt;12&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;mo&gt;&amp;#x2248;&lt;\/mo&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;\/mo&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x3B3;&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;msup&gt;&lt;mrow \/&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mfrac&gt;&lt;\/mrow&gt;&lt;\/msup&gt;&lt;mo&gt;&amp;#x2212;&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x3B3;&lt;\/mi&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/msub&gt;&lt;msup&gt;&lt;mrow \/&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mfrac&gt;&lt;\/mrow&gt;&lt;\/msup&gt;&lt;\/mrow&gt;&lt;mo&gt;)&lt;\/mo&gt;&lt;\/mrow&gt;&lt;\/mrow&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/msup&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-77\" class=\"math\"><span id=\"MathJax-Span-78\" class=\"mrow\"><span id=\"MathJax-Span-79\" class=\"semantics\"><span id=\"MathJax-Span-80\" class=\"mrow\"><span id=\"MathJax-Span-81\" class=\"msub\"><span id=\"MathJax-Span-82\" class=\"mi\">\u03b3<\/span><span id=\"MathJax-Span-83\" class=\"mrow\"><span id=\"MathJax-Span-84\" class=\"mn\">12<\/span><\/span><\/span><span id=\"MathJax-Span-85\" class=\"mo\">\u2248<\/span><span id=\"MathJax-Span-86\" class=\"msup\"><span id=\"MathJax-Span-87\" class=\"mrow\"><span id=\"MathJax-Span-88\" class=\"mrow\"><span id=\"MathJax-Span-89\" class=\"mo\">(<\/span><span id=\"MathJax-Span-90\" class=\"mrow\"><span id=\"MathJax-Span-91\" class=\"msub\"><span id=\"MathJax-Span-92\" class=\"mi\">\u03b3<\/span><span id=\"MathJax-Span-93\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-94\" class=\"msup\"><span id=\"MathJax-Span-95\" class=\"mrow\"><\/span><span id=\"MathJax-Span-96\" class=\"mrow\"><span id=\"MathJax-Span-97\" class=\"mfrac\"><span id=\"MathJax-Span-98\" class=\"mn\">1<\/span><span id=\"MathJax-Span-99\" class=\"mn\">2<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-100\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-101\" class=\"msub\"><span id=\"MathJax-Span-102\" class=\"mi\">\u03b3<\/span><span id=\"MathJax-Span-103\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-104\" class=\"msup\"><span id=\"MathJax-Span-105\" class=\"mrow\"><\/span><span id=\"MathJax-Span-106\" class=\"mrow\"><span id=\"MathJax-Span-107\" class=\"mfrac\"><span id=\"MathJax-Span-108\" class=\"mn\">1<\/span><span id=\"MathJax-Span-109\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span><span id=\"MathJax-Span-110\" class=\"mo\">)<\/span><\/span><\/span><span id=\"MathJax-Span-111\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<\/div>\n<div class=\"l\"><label>(2)<\/label><\/div>\n<\/div>\n<\/div>\n<div class=\"html-p\">The relation between surface tension and solubility parameter\u00a0<span id=\"MathJax-Element-8-Frame\" class=\"MathJax\" style=\"box-sizing: inherit; max-height: none; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 19.0667px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;inline&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;\/mo&gt;&lt;mi&gt;&amp;#x3B4;&lt;\/mi&gt;&lt;mo&gt;)&lt;\/mo&gt;&lt;\/mrow&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-112\" class=\"math\"><span id=\"MathJax-Span-113\" class=\"mrow\"><span id=\"MathJax-Span-114\" class=\"semantics\"><span id=\"MathJax-Span-115\" class=\"mrow\"><span id=\"MathJax-Span-116\" class=\"mrow\"><span id=\"MathJax-Span-117\" class=\"mo\">(<\/span><span id=\"MathJax-Span-118\" class=\"mi\">\u03b4<\/span><span id=\"MathJax-Span-119\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0is given as [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B23-aerospace-05-00029\">23<\/a>]<\/p>\n<div id=\"FD3-aerospace-05-00029\" class=\"html-disp-formula-info\">\n<div class=\"f\">\n<div class=\"MathJax_Display\"><span id=\"MathJax-Element-9-Frame\" class=\"MathJax\" style=\"box-sizing: inherit; max-height: none; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 17.16px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;&amp;#x3B4;&lt;\/mi&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;mn&gt;4.1&lt;\/mn&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo stretchy=&quot;false&quot;&gt;(&lt;\/mo&gt;&lt;mrow&gt;&lt;mi&gt;&amp;#x3B3;&lt;\/mi&gt;&lt;mo&gt;\/&lt;\/mo&gt;&lt;msup&gt;&lt;mi&gt;V&lt;\/mi&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;mo&gt;\/&lt;\/mo&gt;&lt;mn&gt;3&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msup&gt;&lt;\/mrow&gt;&lt;mo stretchy=&quot;false&quot;&gt;)&lt;\/mo&gt;&lt;\/mrow&gt;&lt;\/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0.43&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msup&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-120\" class=\"math\"><span id=\"MathJax-Span-121\" class=\"mrow\"><span id=\"MathJax-Span-122\" class=\"semantics\"><span id=\"MathJax-Span-123\" class=\"mrow\"><span id=\"MathJax-Span-124\" class=\"mi\">\u03b4<\/span><span id=\"MathJax-Span-125\" class=\"mo\">=<\/span><span id=\"MathJax-Span-126\" class=\"mn\">4.1<\/span><span id=\"MathJax-Span-127\" class=\"msup\"><span id=\"MathJax-Span-128\" class=\"mrow\"><span id=\"MathJax-Span-129\" class=\"mrow\"><span id=\"MathJax-Span-130\" class=\"mo\">(<\/span><span id=\"MathJax-Span-131\" class=\"mrow\"><span id=\"MathJax-Span-132\" class=\"mi\">\u03b3<\/span><span id=\"MathJax-Span-133\" class=\"mo\">\/<\/span><span id=\"MathJax-Span-134\" class=\"msup\"><span id=\"MathJax-Span-135\" class=\"mi\">V<\/span><span id=\"MathJax-Span-136\" class=\"mrow\"><span id=\"MathJax-Span-137\" class=\"mn\">1<\/span><span id=\"MathJax-Span-138\" class=\"mo\">\/<\/span><span id=\"MathJax-Span-139\" class=\"mn\">3<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-140\" class=\"mo\">)<\/span><\/span><\/span><span id=\"MathJax-Span-141\" class=\"mrow\"><span id=\"MathJax-Span-142\" class=\"mn\">0.43<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<\/div>\n<div class=\"l\"><label>(3)<\/label><\/div>\n<\/div>\n<p>where\u00a0<span class=\"html-italic\">V<\/span>\u00a0is equivalent to volume.<\/div>\n<div class=\"html-p\">Furthermore, the interfacial energy is affected by crystal structure of the prilled and coated ADN. The wetting is favored if the surface energy of solid is higher than surface tension of liquid [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B23-aerospace-05-00029\">23<\/a>]. The surface tension of ADN melt (<span id=\"MathJax-Element-10-Frame\" class=\"MathJax\" style=\"box-sizing: inherit; max-height: none; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 19.0667px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;inline&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;&amp;#x3B3;&lt;\/mi&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;mn&gt;89&lt;\/mn&gt;&lt;mo&gt;&amp;#xA0;&lt;\/mo&gt;&lt;mi&gt;mN&lt;\/mi&gt;&lt;mo&gt;\/&lt;\/mo&gt;&lt;mi mathvariant=&quot;normal&quot;&gt;m&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-143\" class=\"math\"><span id=\"MathJax-Span-144\" class=\"mrow\"><span id=\"MathJax-Span-145\" class=\"semantics\"><span id=\"MathJax-Span-146\" class=\"mrow\"><span id=\"MathJax-Span-147\" class=\"mi\">\u03b3<\/span><span id=\"MathJax-Span-148\" class=\"mo\">=<\/span><span id=\"MathJax-Span-149\" class=\"mn\">89<\/span><span id=\"MathJax-Span-150\" class=\"mo\">\u00a0<\/span><span id=\"MathJax-Span-151\" class=\"mi\">mN<\/span><span id=\"MathJax-Span-152\" class=\"mo\">\/<\/span><span id=\"MathJax-Span-153\" class=\"mi\">m<\/span><\/span><\/span><\/span><\/span><\/span>) [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B21-aerospace-05-00029\">21<\/a>] is very high due to hydrogen bonding and polarity, compare to water\u00a0<span id=\"MathJax-Element-11-Frame\" class=\"MathJax\" style=\"box-sizing: inherit; max-height: none; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 19.0667px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;inline&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;mn&gt;72&lt;\/mn&gt;&lt;mo&gt;&amp;#xA0;&lt;\/mo&gt;&lt;mi&gt;mN&lt;\/mi&gt;&lt;mo&gt;\/&lt;\/mo&gt;&lt;mi mathvariant=&quot;normal&quot;&gt;m&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-154\" class=\"math\"><span id=\"MathJax-Span-155\" class=\"mrow\"><span id=\"MathJax-Span-156\" class=\"semantics\"><span id=\"MathJax-Span-157\" class=\"mrow\"><span id=\"MathJax-Span-158\" class=\"mo\">=<\/span><span id=\"MathJax-Span-159\" class=\"mn\">72<\/span><span id=\"MathJax-Span-160\" class=\"mo\">\u00a0<\/span><span id=\"MathJax-Span-161\" class=\"mi\">mN<\/span><span id=\"MathJax-Span-162\" class=\"mo\">\/<\/span><span id=\"MathJax-Span-163\" class=\"mi\">m<\/span><\/span><\/span><\/span><\/span><\/span>, while toluene has a surface tension of\u00a0<span id=\"MathJax-Element-12-Frame\" class=\"MathJax\" style=\"box-sizing: inherit; max-height: none; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 19.0667px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;inline&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;&amp;#x3C3;&lt;\/mi&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;mn&gt;28.4&lt;\/mn&gt;&lt;mo&gt;&amp;#xA0;&lt;\/mo&gt;&lt;mi&gt;mN&lt;\/mi&gt;&lt;mo&gt;\/&lt;\/mo&gt;&lt;mi mathvariant=&quot;normal&quot;&gt;m&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-164\" class=\"math\"><span id=\"MathJax-Span-165\" class=\"mrow\"><span id=\"MathJax-Span-166\" class=\"semantics\"><span id=\"MathJax-Span-167\" class=\"mrow\"><span id=\"MathJax-Span-168\" class=\"mi\">\u03c3<\/span><span id=\"MathJax-Span-169\" class=\"mo\">=<\/span><span id=\"MathJax-Span-170\" class=\"mn\">28.4<\/span><span id=\"MathJax-Span-171\" class=\"mo\">\u00a0<\/span><span id=\"MathJax-Span-172\" class=\"mi\">mN<\/span><span id=\"MathJax-Span-173\" class=\"mo\">\/<\/span><span id=\"MathJax-Span-174\" class=\"mi\">m<\/span><\/span><\/span><\/span><\/span><\/span>. The surface tension of the ADN melt was used to estimate surface energy of the ADN solid.<\/div>\n<div class=\"html-p\">Based on the bond breaking rule proposed in the previous literature [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B24-aerospace-05-00029\">24<\/a>], the surface tension\u00a0<span id=\"MathJax-Element-13-Frame\" class=\"MathJax\" style=\"box-sizing: inherit; max-height: none; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 19.0667px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;inline&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x3B3;&lt;\/mi&gt;&lt;mrow&gt;&lt;mi&gt;l&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;q&lt;\/mi&gt;&lt;mi&gt;u&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;d&lt;\/mi&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;\/mo&gt;&lt;mrow&gt;&lt;mi&gt;A&lt;\/mi&gt;&lt;mi&gt;D&lt;\/mi&gt;&lt;mi&gt;N&lt;\/mi&gt;&lt;mo&gt;&amp;#xA0;&lt;\/mo&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mi&gt;l&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;\/mrow&gt;&lt;mo&gt;)&lt;\/mo&gt;&lt;\/mrow&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-175\" class=\"math\"><span id=\"MathJax-Span-176\" class=\"mrow\"><span id=\"MathJax-Span-177\" class=\"semantics\"><span id=\"MathJax-Span-178\" class=\"mrow\"><span id=\"MathJax-Span-179\" class=\"msub\"><span id=\"MathJax-Span-180\" class=\"mi\">\u03b3<\/span><span id=\"MathJax-Span-181\" class=\"mrow\"><span id=\"MathJax-Span-182\" class=\"mi\">l<\/span><span id=\"MathJax-Span-183\" class=\"mi\">i<\/span><span id=\"MathJax-Span-184\" class=\"mi\">q<\/span><span id=\"MathJax-Span-185\" class=\"mi\">u<\/span><span id=\"MathJax-Span-186\" class=\"mi\">i<\/span><span id=\"MathJax-Span-187\" class=\"mi\">d<\/span><span id=\"MathJax-Span-188\" class=\"mrow\"><span id=\"MathJax-Span-189\" class=\"mo\">(<\/span><span id=\"MathJax-Span-190\" class=\"mrow\"><span id=\"MathJax-Span-191\" class=\"mi\">A<\/span><span id=\"MathJax-Span-192\" class=\"mi\">D<\/span><span id=\"MathJax-Span-193\" class=\"mi\">N<\/span><span id=\"MathJax-Span-194\" class=\"mo\">\u00a0<\/span><span id=\"MathJax-Span-195\" class=\"mi\">m<\/span><span id=\"MathJax-Span-196\" class=\"mi\">e<\/span><span id=\"MathJax-Span-197\" class=\"mi\">l<\/span><span id=\"MathJax-Span-198\" class=\"mi\">t<\/span><\/span><span id=\"MathJax-Span-199\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0can be correlated to surface energy by the following equation:<\/p>\n<div id=\"FD4-aerospace-05-00029\" class=\"html-disp-formula-info\">\n<div class=\"f\">\n<div class=\"MathJax_Display\"><span id=\"MathJax-Element-14-Frame\" class=\"MathJax\" style=\"box-sizing: inherit; max-height: none; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 17.16px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x3C3;&lt;\/mi&gt;&lt;mrow&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;l&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;d&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;mo&gt;&amp;#x2245;&lt;\/mo&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x3B3;&lt;\/mi&gt;&lt;mrow&gt;&lt;mi&gt;l&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;q&lt;\/mi&gt;&lt;mi&gt;u&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;d&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0.713&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/mfrac&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-200\" class=\"math\"><span id=\"MathJax-Span-201\" class=\"mrow\"><span id=\"MathJax-Span-202\" class=\"semantics\"><span id=\"MathJax-Span-203\" class=\"mrow\"><span id=\"MathJax-Span-204\" class=\"msub\"><span id=\"MathJax-Span-205\" class=\"mi\">\u03c3<\/span><span id=\"MathJax-Span-206\" class=\"mrow\"><span id=\"MathJax-Span-207\" class=\"mi\">s<\/span><span id=\"MathJax-Span-208\" class=\"mi\">o<\/span><span id=\"MathJax-Span-209\" class=\"mi\">l<\/span><span id=\"MathJax-Span-210\" class=\"mi\">i<\/span><span id=\"MathJax-Span-211\" class=\"mi\">d<\/span><\/span><\/span><span id=\"MathJax-Span-212\" class=\"mo\">\u2245<\/span><span id=\"MathJax-Span-213\" class=\"mfrac\"><span id=\"MathJax-Span-214\" class=\"mrow\"><span id=\"MathJax-Span-215\" class=\"msub\"><span id=\"MathJax-Span-216\" class=\"mi\">\u03b3<\/span><span id=\"MathJax-Span-217\" class=\"mrow\"><span id=\"MathJax-Span-218\" class=\"mi\">l<\/span><span id=\"MathJax-Span-219\" class=\"mi\">i<\/span><span id=\"MathJax-Span-220\" class=\"mi\">q<\/span><span id=\"MathJax-Span-221\" class=\"mi\">u<\/span><span id=\"MathJax-Span-222\" class=\"mi\">i<\/span><span id=\"MathJax-Span-223\" class=\"mi\">d<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-224\" class=\"mrow\"><span id=\"MathJax-Span-225\" class=\"mn\">0.713<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<\/div>\n<div class=\"l\"><label>(4)<\/label><\/div>\n<\/div>\n<\/div>\n<div class=\"html-p\">Thus, the surface energy of ADN solid is estimated to be\u00a0<span id=\"MathJax-Element-15-Frame\" class=\"MathJax\" style=\"box-sizing: inherit; max-height: none; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 19.0667px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;inline&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x3C3;&lt;\/mi&gt;&lt;mrow&gt;&lt;mi&gt;A&lt;\/mi&gt;&lt;mi&gt;D&lt;\/mi&gt;&lt;mi&gt;N&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;mn&gt;124.8&lt;\/mn&gt;&lt;mo&gt;&amp;#xA0;&lt;\/mo&gt;&lt;mi&gt;mN&lt;\/mi&gt;&lt;mo&gt;\/&lt;\/mo&gt;&lt;mi mathvariant=&quot;normal&quot;&gt;m&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-226\" class=\"math\"><span id=\"MathJax-Span-227\" class=\"mrow\"><span id=\"MathJax-Span-228\" class=\"semantics\"><span id=\"MathJax-Span-229\" class=\"mrow\"><span id=\"MathJax-Span-230\" class=\"msub\"><span id=\"MathJax-Span-231\" class=\"mi\">\u03c3<\/span><span id=\"MathJax-Span-232\" class=\"mrow\"><span id=\"MathJax-Span-233\" class=\"mi\">A<\/span><span id=\"MathJax-Span-234\" class=\"mi\">D<\/span><span id=\"MathJax-Span-235\" class=\"mi\">N<\/span><\/span><\/span><span id=\"MathJax-Span-236\" class=\"mo\">=<\/span><span id=\"MathJax-Span-237\" class=\"mn\">124.8<\/span><span id=\"MathJax-Span-238\" class=\"mo\">\u00a0<\/span><span id=\"MathJax-Span-239\" class=\"mi\">mN<\/span><span id=\"MathJax-Span-240\" class=\"mo\">\/<\/span><span id=\"MathJax-Span-241\" class=\"mi\">m<\/span><\/span><\/span><\/span><\/span><\/span>.<\/div>\n<div class=\"html-p\">The difference in surface tension hence favors proper wetting and dispersion of ADN in toluene, which is further enhanced by elevated temperature i.e., 60 \u00b0C. The addition of cationic surfactant, CTAB, with an estimated hydrophilic-lipophilic balance (HLB) equivalent number 13+ [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B25-aerospace-05-00029\">25<\/a>], failed to disperse the ADN in solvents except toluene. The application of ultrasound sonication facilitates rapid dispersion, which increases the solid-liquid interface.<\/div>\n<div class=\"html-p\">Using the value of\u00a0<span id=\"MathJax-Element-16-Frame\" class=\"MathJax\" style=\"box-sizing: inherit; max-height: none; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 19.0667px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;inline&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x3C3;&lt;\/mi&gt;&lt;mrow&gt;&lt;mi&gt;A&lt;\/mi&gt;&lt;mi&gt;D&lt;\/mi&gt;&lt;mi&gt;N&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-242\" class=\"math\"><span id=\"MathJax-Span-243\" class=\"mrow\"><span id=\"MathJax-Span-244\" class=\"semantics\"><span id=\"MathJax-Span-245\" class=\"mrow\"><span id=\"MathJax-Span-246\" class=\"msub\"><span id=\"MathJax-Span-247\" class=\"mi\">\u03c3<\/span><span id=\"MathJax-Span-248\" class=\"mrow\"><span id=\"MathJax-Span-249\" class=\"mi\">A<\/span><span id=\"MathJax-Span-250\" class=\"mi\">D<\/span><span id=\"MathJax-Span-251\" class=\"mi\">N<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>, the interaction force between different components of the system were calculated as shown below (<a class=\"html-table html-tablepopup\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#table_body_display_aerospace-05-00029-t002\">Table 2<\/a>) with data from Krevelen [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B23-aerospace-05-00029\">23<\/a>]. In general, the adding of ADN increases the interface energy with ADN-toluence combination that exhibits the highest interface energy.<\/div>\n<div class=\"html-p\">The PS and graphene adhesion to ADN can be described by the work of adhesion as given by<\/p>\n<div id=\"FD5-aerospace-05-00029\" class=\"html-disp-formula-info\">\n<div class=\"f\">\n<div class=\"MathJax_Display\"><span id=\"MathJax-Element-17-Frame\" class=\"MathJax\" style=\"box-sizing: inherit; max-height: none; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 17.16px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;W&lt;\/mi&gt;&lt;mrow&gt;&lt;mi&gt;a&lt;\/mi&gt;&lt;mi&gt;d&lt;\/mi&gt;&lt;mi&gt;h&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x3B3;&lt;\/mi&gt;&lt;mrow&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x3B3;&lt;\/mi&gt;&lt;mrow&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;mo&gt;&amp;#x2212;&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x3B3;&lt;\/mi&gt;&lt;mrow&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-252\" class=\"math\"><span id=\"MathJax-Span-253\" class=\"mrow\"><span id=\"MathJax-Span-254\" class=\"semantics\"><span id=\"MathJax-Span-255\" class=\"mrow\"><span id=\"MathJax-Span-256\" class=\"msub\"><span id=\"MathJax-Span-257\" class=\"mi\">W<\/span><span id=\"MathJax-Span-258\" class=\"mrow\"><span id=\"MathJax-Span-259\" class=\"mi\">a<\/span><span id=\"MathJax-Span-260\" class=\"mi\">d<\/span><span id=\"MathJax-Span-261\" class=\"mi\">h<\/span><\/span><\/span><span id=\"MathJax-Span-262\" class=\"mo\">=<\/span><span id=\"MathJax-Span-263\" class=\"msub\"><span id=\"MathJax-Span-264\" class=\"mi\">\u03b3<\/span><span id=\"MathJax-Span-265\" class=\"mrow\"><span id=\"MathJax-Span-266\" class=\"mi\">s<\/span><span id=\"MathJax-Span-267\" class=\"mn\">1<\/span><\/span><\/span><span id=\"MathJax-Span-268\" class=\"mo\">+<\/span><span id=\"MathJax-Span-269\" class=\"msub\"><span id=\"MathJax-Span-270\" class=\"mi\">\u03b3<\/span><span id=\"MathJax-Span-271\" class=\"mrow\"><span id=\"MathJax-Span-272\" class=\"mi\">s<\/span><span id=\"MathJax-Span-273\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-274\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-275\" class=\"msub\"><span id=\"MathJax-Span-276\" class=\"mi\">\u03b3<\/span><span id=\"MathJax-Span-277\" class=\"mrow\"><span id=\"MathJax-Span-278\" class=\"mi\">s<\/span><span id=\"MathJax-Span-279\" class=\"mn\">1<\/span><span id=\"MathJax-Span-280\" class=\"mi\">s<\/span><span id=\"MathJax-Span-281\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<\/div>\n<div class=\"l\"><label>(5)<\/label><\/div>\n<\/div>\n<div id=\"FD6-aerospace-05-00029\" class=\"html-disp-formula-info\">\n<div class=\"f\">\n<div class=\"MathJax_Display\"><span id=\"MathJax-Element-18-Frame\" class=\"MathJax\" style=\"box-sizing: inherit; max-height: none; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 17.16px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;where&lt;\/mi&gt;&lt;mo&gt;,&lt;\/mo&gt;&lt;mtext&gt;&amp;#xA0;&amp;#xA0;&lt;\/mtext&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x3B3;&lt;\/mi&gt;&lt;mrow&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;\/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;\/mo&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x3B3;&lt;\/mi&gt;&lt;mrow&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;mo&gt;)&lt;\/mo&gt;&lt;\/mrow&gt;&lt;\/mrow&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mfrac&gt;&lt;\/mrow&gt;&lt;\/msup&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;\/mo&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x3B3;&lt;\/mi&gt;&lt;mrow&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;mo&gt;)&lt;\/mo&gt;&lt;\/mrow&gt;&lt;\/mrow&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mfrac&gt;&lt;\/mrow&gt;&lt;\/msup&gt;&lt;mo&gt;&amp;#xA0;&lt;\/mo&gt;&lt;\/mrow&gt;&lt;mo&gt;)&lt;\/mo&gt;&lt;\/mrow&gt;&lt;\/mrow&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mfrac&gt;&lt;\/mrow&gt;&lt;\/msup&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-282\" class=\"math\"><span id=\"MathJax-Span-283\" class=\"mrow\"><span id=\"MathJax-Span-284\" class=\"semantics\"><span id=\"MathJax-Span-285\" class=\"mrow\"><span id=\"MathJax-Span-286\" class=\"mi\">where<\/span><span id=\"MathJax-Span-287\" class=\"mo\">,<\/span><span id=\"MathJax-Span-288\" class=\"mtext\">\u00a0\u00a0<\/span><span id=\"MathJax-Span-289\" class=\"msub\"><span id=\"MathJax-Span-290\" class=\"mi\">\u03b3<\/span><span id=\"MathJax-Span-291\" class=\"mrow\"><span id=\"MathJax-Span-292\" class=\"mi\">s<\/span><span id=\"MathJax-Span-293\" class=\"mn\">1<\/span><span id=\"MathJax-Span-294\" class=\"mi\">s<\/span><span id=\"MathJax-Span-295\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-296\" class=\"mo\">=<\/span><span id=\"MathJax-Span-297\" class=\"msup\"><span id=\"MathJax-Span-298\" class=\"mrow\"><span id=\"MathJax-Span-299\" class=\"mrow\"><span id=\"MathJax-Span-300\" class=\"mo\">(<\/span><span id=\"MathJax-Span-301\" class=\"mrow\"><span id=\"MathJax-Span-302\" class=\"msup\"><span id=\"MathJax-Span-303\" class=\"mrow\"><span id=\"MathJax-Span-304\" class=\"mrow\"><span id=\"MathJax-Span-305\" class=\"mo\">(<\/span><span id=\"MathJax-Span-306\" class=\"mrow\"><span id=\"MathJax-Span-307\" class=\"msub\"><span id=\"MathJax-Span-308\" class=\"mi\">\u03b3<\/span><span id=\"MathJax-Span-309\" class=\"mrow\"><span id=\"MathJax-Span-310\" class=\"mi\">s<\/span><span id=\"MathJax-Span-311\" class=\"mn\">1<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-312\" class=\"mo\">)<\/span><\/span><\/span><span id=\"MathJax-Span-313\" class=\"mrow\"><span id=\"MathJax-Span-314\" class=\"mfrac\"><span id=\"MathJax-Span-315\" class=\"mn\">1<\/span><span id=\"MathJax-Span-316\" class=\"mn\">2<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-317\" class=\"mo\">+<\/span><span id=\"MathJax-Span-318\" class=\"msup\"><span id=\"MathJax-Span-319\" class=\"mrow\"><span id=\"MathJax-Span-320\" class=\"mrow\"><span id=\"MathJax-Span-321\" class=\"mo\">(<\/span><span id=\"MathJax-Span-322\" class=\"mrow\"><span id=\"MathJax-Span-323\" class=\"msub\"><span id=\"MathJax-Span-324\" class=\"mi\">\u03b3<\/span><span id=\"MathJax-Span-325\" class=\"mrow\"><span id=\"MathJax-Span-326\" class=\"mi\">s<\/span><span id=\"MathJax-Span-327\" class=\"mn\">2<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-328\" class=\"mo\">)<\/span><\/span><\/span><span id=\"MathJax-Span-329\" class=\"mrow\"><span id=\"MathJax-Span-330\" class=\"mfrac\"><span id=\"MathJax-Span-331\" class=\"mn\">1<\/span><span id=\"MathJax-Span-332\" class=\"mn\">2<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-333\" class=\"mo\">\u00a0<\/span><\/span><span id=\"MathJax-Span-334\" class=\"mo\">)<\/span><\/span><\/span><span id=\"MathJax-Span-335\" class=\"mrow\"><span id=\"MathJax-Span-336\" class=\"mfrac\"><span id=\"MathJax-Span-337\" class=\"mn\">1<\/span><span id=\"MathJax-Span-338\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<\/div>\n<div class=\"l\"><\/div>\n<\/div>\n<p>where\u00a0<span id=\"MathJax-Element-19-Frame\" class=\"MathJax\" style=\"box-sizing: inherit; max-height: none; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 19.0667px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;inline&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x3B3;&lt;\/mi&gt;&lt;mrow&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;mtext&gt;&amp;#xA0;&lt;\/mtext&gt;&lt;mi&gt;and&lt;\/mi&gt;&lt;mtext&gt;&amp;#xA0;&lt;\/mtext&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x3B3;&lt;\/mi&gt;&lt;mrow&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-339\" class=\"math\"><span id=\"MathJax-Span-340\" class=\"mrow\"><span id=\"MathJax-Span-341\" class=\"semantics\"><span id=\"MathJax-Span-342\" class=\"mrow\"><span id=\"MathJax-Span-343\" class=\"msub\"><span id=\"MathJax-Span-344\" class=\"mi\">\u03b3<\/span><span id=\"MathJax-Span-345\" class=\"mrow\"><span id=\"MathJax-Span-346\" class=\"mi\">s<\/span><span id=\"MathJax-Span-347\" class=\"mn\">1<\/span><\/span><\/span><span id=\"MathJax-Span-348\" class=\"mtext\">\u00a0<\/span><span id=\"MathJax-Span-349\" class=\"mi\">and<\/span><span id=\"MathJax-Span-350\" class=\"mtext\">\u00a0<\/span><span id=\"MathJax-Span-351\" class=\"msub\"><span id=\"MathJax-Span-352\" class=\"mi\">\u03b3<\/span><span id=\"MathJax-Span-353\" class=\"mrow\"><span id=\"MathJax-Span-354\" class=\"mi\">s<\/span><span id=\"MathJax-Span-355\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0are surface energy of materials being considered.<\/div>\n<div class=\"html-p\">A negative value of\u00a0<span id=\"MathJax-Element-20-Frame\" class=\"MathJax\" style=\"box-sizing: inherit; max-height: none; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 19.0667px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;inline&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;W&lt;\/mi&gt;&lt;mrow&gt;&lt;mi&gt;a&lt;\/mi&gt;&lt;mi&gt;d&lt;\/mi&gt;&lt;mi&gt;h&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-356\" class=\"math\"><span id=\"MathJax-Span-357\" class=\"mrow\"><span id=\"MathJax-Span-358\" class=\"semantics\"><span id=\"MathJax-Span-359\" class=\"mrow\"><span id=\"MathJax-Span-360\" class=\"msub\"><span id=\"MathJax-Span-361\" class=\"mi\">W<\/span><span id=\"MathJax-Span-362\" class=\"mrow\"><span id=\"MathJax-Span-363\" class=\"mi\">a<\/span><span id=\"MathJax-Span-364\" class=\"mi\">d<\/span><span id=\"MathJax-Span-365\" class=\"mi\">h<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0represents poor adhesion and reversibility of the process.\u00a0<span id=\"MathJax-Element-21-Frame\" class=\"MathJax\" style=\"box-sizing: inherit; max-height: none; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 19.0667px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;inline&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;W&lt;\/mi&gt;&lt;mrow&gt;&lt;mi&gt;a&lt;\/mi&gt;&lt;mi&gt;d&lt;\/mi&gt;&lt;mi&gt;h&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-366\" class=\"math\"><span id=\"MathJax-Span-367\" class=\"mrow\"><span id=\"MathJax-Span-368\" class=\"semantics\"><span id=\"MathJax-Span-369\" class=\"mrow\"><span id=\"MathJax-Span-370\" class=\"msub\"><span id=\"MathJax-Span-371\" class=\"mi\">W<\/span><span id=\"MathJax-Span-372\" class=\"mrow\"><span id=\"MathJax-Span-373\" class=\"mi\">a<\/span><span id=\"MathJax-Span-374\" class=\"mi\">d<\/span><span id=\"MathJax-Span-375\" class=\"mi\">h<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0values for different components of the system are shown in\u00a0<a class=\"html-table html-tablepopup\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#table_body_display_aerospace-05-00029-t003\">Table 3<\/a>. They are all in the positive regime. This implies a good adhesion of ADN to PS (<span id=\"MathJax-Element-22-Frame\" class=\"MathJax\" style=\"box-sizing: inherit; max-height: none; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 19.0667px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;inline&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;W&lt;\/mi&gt;&lt;mrow&gt;&lt;mi&gt;a&lt;\/mi&gt;&lt;mi&gt;d&lt;\/mi&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;mo&gt;&amp;#x2212;&lt;\/mo&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;mn&gt;144.81&lt;\/mn&gt;&lt;mo&gt;&amp;#xA0;&lt;\/mo&gt;&lt;mi&gt;mN&lt;\/mi&gt;&lt;mo&gt;\/&lt;\/mo&gt;&lt;mi mathvariant=&quot;normal&quot;&gt;m&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-376\" class=\"math\"><span id=\"MathJax-Span-377\" class=\"mrow\"><span id=\"MathJax-Span-378\" class=\"semantics\"><span id=\"MathJax-Span-379\" class=\"mrow\"><span id=\"MathJax-Span-380\" class=\"msub\"><span id=\"MathJax-Span-381\" class=\"mi\">W<\/span><span id=\"MathJax-Span-382\" class=\"mrow\"><span id=\"MathJax-Span-383\" class=\"mi\">a<\/span><span id=\"MathJax-Span-384\" class=\"mi\">d<\/span><span id=\"MathJax-Span-385\" class=\"mi\">n<\/span><span id=\"MathJax-Span-386\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-387\" class=\"mi\">p<\/span><span id=\"MathJax-Span-388\" class=\"mi\">s<\/span><\/span><\/span><span id=\"MathJax-Span-389\" class=\"mo\">=<\/span><span id=\"MathJax-Span-390\" class=\"mn\">144.81<\/span><span id=\"MathJax-Span-391\" class=\"mo\">\u00a0<\/span><span id=\"MathJax-Span-392\" class=\"mi\">mN<\/span><span id=\"MathJax-Span-393\" class=\"mo\">\/<\/span><span id=\"MathJax-Span-394\" class=\"mi\">m<\/span><\/span><\/span><\/span><\/span><\/span>). Similarly, using the interface energy of\u00a0<span id=\"MathJax-Element-23-Frame\" class=\"MathJax\" style=\"box-sizing: inherit; max-height: none; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 19.0667px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;inline&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x3B3;&lt;\/mi&gt;&lt;mrow&gt;&lt;mi&gt;g&lt;\/mi&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;mn&gt;46.7&lt;\/mn&gt;&lt;mo&gt;&amp;#xA0;&lt;\/mo&gt;&lt;mi&gt;mN&lt;\/mi&gt;&lt;mo&gt;\/&lt;\/mo&gt;&lt;mi mathvariant=&quot;normal&quot;&gt;m&lt;\/mi&gt;&lt;mo&gt;&amp;#xA0;&lt;\/mo&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-395\" class=\"math\"><span id=\"MathJax-Span-396\" class=\"mrow\"><span id=\"MathJax-Span-397\" class=\"semantics\"><span id=\"MathJax-Span-398\" class=\"mrow\"><span id=\"MathJax-Span-399\" class=\"msub\"><span id=\"MathJax-Span-400\" class=\"mi\">\u03b3<\/span><span id=\"MathJax-Span-401\" class=\"mrow\"><span id=\"MathJax-Span-402\" class=\"mi\">g<\/span><span id=\"MathJax-Span-403\" class=\"mi\">r<\/span><\/span><\/span><span id=\"MathJax-Span-404\" class=\"mo\">=<\/span><span id=\"MathJax-Span-405\" class=\"mn\">46.7<\/span><span id=\"MathJax-Span-406\" class=\"mo\">\u00a0<\/span><span id=\"MathJax-Span-407\" class=\"mi\">mN<\/span><span id=\"MathJax-Span-408\" class=\"mo\">\/<\/span><span id=\"MathJax-Span-409\" class=\"mi\">m<\/span><span id=\"MathJax-Span-410\" class=\"mo\">\u00a0<\/span><\/span><\/span><\/span><\/span><\/span>\u00a0[<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B26-aerospace-05-00029\">26<\/a>], adhesion of graphene toward ADN and PS was calculated to be\u00a0<span id=\"MathJax-Element-24-Frame\" class=\"MathJax\" style=\"box-sizing: inherit; max-height: none; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 19.0667px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;inline&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;W&lt;\/mi&gt;&lt;mrow&gt;&lt;mi&gt;a&lt;\/mi&gt;&lt;mi&gt;d&lt;\/mi&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;mo&gt;&amp;#x2212;&lt;\/mo&gt;&lt;mi&gt;g&lt;\/mi&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;mn&gt;169.11&lt;\/mn&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;N&lt;\/mi&gt;&lt;\/mrow&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;\/mfrac&gt;&lt;mo&gt;&amp;#xA0;&lt;\/mo&gt;&lt;mi&gt;and&lt;\/mi&gt;&lt;mo&gt;&amp;#xA0;&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;W&lt;\/mi&gt;&lt;mrow&gt;&lt;mi&gt;g&lt;\/mi&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;mo&gt;&amp;#x2212;&lt;\/mo&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;mn&gt;88.57&lt;\/mn&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;N&lt;\/mi&gt;&lt;\/mrow&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;\/mfrac&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-411\" class=\"math\"><span id=\"MathJax-Span-412\" class=\"mrow\"><span id=\"MathJax-Span-413\" class=\"semantics\"><span id=\"MathJax-Span-414\" class=\"mrow\"><span id=\"MathJax-Span-415\" class=\"msub\"><span id=\"MathJax-Span-416\" class=\"mi\">W<\/span><span id=\"MathJax-Span-417\" class=\"mrow\"><span id=\"MathJax-Span-418\" class=\"mi\">a<\/span><span id=\"MathJax-Span-419\" class=\"mi\">d<\/span><span id=\"MathJax-Span-420\" class=\"mi\">n<\/span><span id=\"MathJax-Span-421\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-422\" class=\"mi\">g<\/span><span id=\"MathJax-Span-423\" class=\"mi\">r<\/span><\/span><\/span><span id=\"MathJax-Span-424\" class=\"mo\">=<\/span><span id=\"MathJax-Span-425\" class=\"mn\">169.11<\/span><span id=\"MathJax-Span-426\" class=\"mfrac\"><span id=\"MathJax-Span-427\" class=\"mrow\"><span id=\"MathJax-Span-428\" class=\"mi\">m<\/span><span id=\"MathJax-Span-429\" class=\"mi\">N<\/span><\/span><span id=\"MathJax-Span-430\" class=\"mi\">m<\/span><\/span><span id=\"MathJax-Span-431\" class=\"mo\">\u00a0<\/span><span id=\"MathJax-Span-432\" class=\"mi\">and<\/span><span id=\"MathJax-Span-433\" class=\"mo\">\u00a0<\/span><span id=\"MathJax-Span-434\" class=\"msub\"><span id=\"MathJax-Span-435\" class=\"mi\">W<\/span><span id=\"MathJax-Span-436\" class=\"mrow\"><span id=\"MathJax-Span-437\" class=\"mi\">g<\/span><span id=\"MathJax-Span-438\" class=\"mi\">r<\/span><span id=\"MathJax-Span-439\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-440\" class=\"mi\">p<\/span><span id=\"MathJax-Span-441\" class=\"mi\">s<\/span><\/span><\/span><span id=\"MathJax-Span-442\" class=\"mo\">=<\/span><span id=\"MathJax-Span-443\" class=\"mn\">88.57<\/span><span id=\"MathJax-Span-444\" class=\"mfrac\"><span id=\"MathJax-Span-445\" class=\"mrow\"><span id=\"MathJax-Span-446\" class=\"mi\">m<\/span><span id=\"MathJax-Span-447\" class=\"mi\">N<\/span><\/span><span id=\"MathJax-Span-448\" class=\"mi\">m<\/span><\/span><\/span><\/span><\/span><\/span><\/span>, respectively, suggesting a good compatibility among them.<\/div>\n<div id=\"aerospace-05-00029-t003\" class=\"html-table-wrap\">\n<div class=\"html-table_wrap_discription\"><b>Table 3.<\/b>\u00a0Work of adhesion for different components of the system.<\/div>\n<div class=\"html-table_wrap_td\">\n<div class=\"html-tablepopup html-tablepopup-link\"><img src=\"http:\/\/img.mdpi.org\/img\/table.png\" alt=\"Table\" \/><\/div>\n<\/div>\n<\/div>\n<\/section>\n<section id=\"sec3dot2-aerospace-05-00029\">\n<p class=\"html-italic\" data-nested=\"2\"><strong>3.2. Crystal Morphology and Particle Size<\/strong><\/p>\n<div class=\"html-p\">Pristine ADN synthesized in this experiment has long needle-like shape, as shown in\u00a0<a class=\"html-fig html-figpopup\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#fig_body_display_aerospace-05-00029-f003\">Figure 3<\/a>, compared to pristine ADN prepared by Heintz et al. [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B6-aerospace-05-00029\">6<\/a>]. Spherical ADN particles produced via ultrasound sonication followed by coating with 5% PS and HTPB are shown in\u00a0<a class=\"html-fig html-figpopup\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#fig_body_display_aerospace-05-00029-f004\">Figure 4<\/a>. In comparison, ADN melt prilled with conventional method and coated with 5 wt % PS is shown in\u00a0<a class=\"html-fig html-figpopup\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#fig_body_display_aerospace-05-00029-f005\">Figure 5<\/a>. The particle diameters were measured from the SEM images using MATLAB.<\/div>\n<div id=\"aerospace-05-00029-f003\" class=\"html-fig-wrap\">\n<div class=\"html-fig_img\">\n<div class=\"html-figpopup html-figpopup-link\"><img src=\"http:\/\/www.mdpi.com\/aerospace\/aerospace-05-00029\/article_deploy\/html\/images\/aerospace-05-00029-g003-550.jpg\" alt=\"Aerospace 05 00029 g003 550\" data-large=\"\/aerospace\/aerospace-05-00029\/article_deploy\/html\/images\/aerospace-05-00029-g003.png\" data-original=\"\/aerospace\/aerospace-05-00029\/article_deploy\/html\/images\/aerospace-05-00029-g003.png\" \/><\/div>\n<\/div>\n<div class=\"html-fig_description\"><b>Figure 3.<\/b>\u00a0Scanning electron microscopy (SEM) image of pristine ADN used in these experiments.<\/div>\n<\/div>\n<div id=\"aerospace-05-00029-f004\" class=\"html-fig-wrap\">\n<div class=\"html-fig_img\">\n<div class=\"html-figpopup html-figpopup-link\"><img src=\"http:\/\/www.mdpi.com\/aerospace\/aerospace-05-00029\/article_deploy\/html\/images\/aerospace-05-00029-g004-550.jpg\" alt=\"Aerospace 05 00029 g004 550\" data-large=\"\/aerospace\/aerospace-05-00029\/article_deploy\/html\/images\/aerospace-05-00029-g004.png\" data-original=\"\/aerospace\/aerospace-05-00029\/article_deploy\/html\/images\/aerospace-05-00029-g004.png\" \/><\/div>\n<\/div>\n<div class=\"html-fig_description\"><b>Figure 4.<\/b>\u00a0(<b>a<\/b>) SEM image of ADN produced via ultrasound sonication, following by coating with 5% of PS. The particles diameter ranges from 150 \u00b5m to 295 \u00b5m; (<b>b<\/b>) SEM image of ADN sonicated and coated with HTPB. The particle diameter ranges from 155 \u00b5m to 305 \u00b5m.<\/div>\n<\/div>\n<div id=\"aerospace-05-00029-f005\" class=\"html-fig-wrap\">\n<div class=\"html-fig_img\">\n<div class=\"html-figpopup html-figpopup-link\"><img src=\"http:\/\/www.mdpi.com\/aerospace\/aerospace-05-00029\/article_deploy\/html\/images\/aerospace-05-00029-g005-550.jpg\" alt=\"Aerospace 05 00029 g005 550\" data-large=\"\/aerospace\/aerospace-05-00029\/article_deploy\/html\/images\/aerospace-05-00029-g005.png\" data-original=\"\/aerospace\/aerospace-05-00029\/article_deploy\/html\/images\/aerospace-05-00029-g005.png\" \/><\/div>\n<\/div>\n<div class=\"html-fig_description\"><b>Figure 5.<\/b>\u00a0SEM image of ADN produced by melt prilling and coating with 5 wt % polystyrene (PS).<\/div>\n<\/div>\n<div class=\"html-p\">In\u00a0<a class=\"html-fig html-figpopup\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#fig_body_display_aerospace-05-00029-f005\">Figure 5<\/a>, the melt prilled ADN particle coating with 5 wt % PS has a size within the range of 173\u2013250 \u00b5m. Overall, the ADN particles produced using this method have a mean diameter of 231 \u00b1 48 \u00b5m. For ultrasound sonication, the ADN particles have a spherical shape with a particle diameter that ranges from 150 \u00b5m to 295 \u00b5m, with an overall mean diameter of 225 \u00b1 30 \u00b5m. Although the existing ultrasonication set-up could not reduce the mean particle size of the coated ADN particles substantially, it reduced the diameter to the smallest dimension of 150 \u00b5m. This is approximately 13% smaller than its counterpart produced using the prilling method. This suggests the ultrosonication method can be optimized further. Nevertheless, the spherical shape of the coated ADN particles produced using the ultrasonication method enables a higher packing density.<\/div>\n<\/section>\n<section id=\"sec3dot3-aerospace-05-00029\">\n<p class=\"html-italic\" data-nested=\"2\"><strong>3.3. Water Absorption Testing<\/strong><\/p>\n<div class=\"html-p\">The water absorption testing was carried out using pristine ADN, prilled ADN and sonicated ADN particles, respectively. The mass gain in the samples are shown in\u00a0<a class=\"html-fig html-figpopup\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#fig_body_display_aerospace-05-00029-f006\">Figure 6<\/a>. In general, the high water absorption in ADN particles is due to the presence of a hydrogen bond in its crystal structure. It is obvious from\u00a0<a class=\"html-fig html-figpopup\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#fig_body_display_aerospace-05-00029-f006\">Figure 6<\/a>\u00a0that the prilling and sonicated coating of ADN has reduced the water absorption as compared to pristine ADN. ADN particles sonicated coating with 5 wt % of PS achieved up to 30% in mass gain after 240 min, while sonicated coating with the identical concentration of HTPB reached only 18% of mass gain. The testing of ADN coated with hydrophobic PS embedded with graphene flakes shows a reduction in moisture absorption. This effect is particularly significant after prolonged duration, i.e., 240 min. The graphene is a hydrophobic material [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B26-aerospace-05-00029\">26<\/a>] and acts as moisture barrier because of its high aspect ratio [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B27-aerospace-05-00029\">27<\/a>,<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B28-aerospace-05-00029\">28<\/a>].<\/div>\n<div id=\"aerospace-05-00029-f006\" class=\"html-fig-wrap\">\n<div class=\"html-fig_img\">\n<div class=\"html-figpopup html-figpopup-link\"><img src=\"http:\/\/www.mdpi.com\/aerospace\/aerospace-05-00029\/article_deploy\/html\/images\/aerospace-05-00029-g006-550.jpg\" alt=\"Aerospace 05 00029 g006 550\" data-large=\"\/aerospace\/aerospace-05-00029\/article_deploy\/html\/images\/aerospace-05-00029-g006.png\" data-original=\"\/aerospace\/aerospace-05-00029\/article_deploy\/html\/images\/aerospace-05-00029-g006.png\" \/><\/div>\n<\/div>\n<div class=\"html-fig_description\"><b>Figure 6.<\/b>\u00a0Mass gain in pristine ADN, melt prilled, and sonicated coating of the ADN particle.<\/div>\n<\/div>\n<\/section>\n<section id=\"sec3dot4-aerospace-05-00029\">\n<p class=\"html-italic\" data-nested=\"2\"><strong>3.4. Effect of Additives<\/strong><\/p>\n<div class=\"html-p\">Several attempts were made to produce coated ADN without graphene, CTAB, and Cab-o-sil. In the absence of CTAB, approximately 70% of prilled ADN was still left at the bottom of the toluene mixture even after 180 min of sonication. In another attempt to produce coated ADN without graphene and Cab-o-sil, the prilled ADN particles agglomerated in the drying and evaporation steps.<\/div>\n<div class=\"html-p\">CTAB consists of an anionic long carbon chain (19 carbons) and a relatively weak methylammonium bromide cation, which makes it cationic surfactant [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B29-aerospace-05-00029\">29<\/a>].<\/div>\n<div class=\"html-p\">The cationic part attracts ADN because of the overall negative charge of ADN molecules. Furthermore, the anionic part of CTAB attracts methyl pendant group of toluene by virtue of partial charges leading to proper suspension of ADN in toluene.<\/div>\n<div class=\"html-p\">In this work, Cab-o-sil was added as a protective colloid to promote emulsification and reduction in viscosity [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B30-aerospace-05-00029\">30<\/a>]. Its non-Newtonian behaviour provides better mechanical energy transfer to surface boundary between toluene and AND particles. In addition, it also decreases the agglomeration of particles by inducing steric hindrance [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B30-aerospace-05-00029\">30<\/a>]. In this case, the mechanical energy required to reduce the ADN particle size is provided by the ultrasound sonication.<\/div>\n<div class=\"html-p\">The use of graphene in energetic materials is a rather new idea. It has only been reported for a few propellants with improvements in thermal stability [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B31-aerospace-05-00029\">31<\/a>]. However, it has been used extensively to impart hydrophobic properties in polymers, where it acts as a physical barrier or produces a lotus effect [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B31-aerospace-05-00029\">31<\/a>] to reduce moisture absorption. As such, graphene was added into the ADN suspension during sonication to reduce moisture absorption. In addition, the adding of graphene is expected to reduce agglomeration of the ADN particles by increasing the distance between ADN particles.\u00a0<a class=\"html-fig html-figpopup\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#fig_body_display_aerospace-05-00029-f007\">Figure 7<\/a>\u00a0shows the SEM image of the agglomeration of ADN particles without the adding of graphene.<\/div>\n<div id=\"aerospace-05-00029-f007\" class=\"html-fig-wrap\">\n<div class=\"html-fig_img\">\n<div class=\"html-figpopup html-figpopup-link\"><img src=\"http:\/\/www.mdpi.com\/aerospace\/aerospace-05-00029\/article_deploy\/html\/images\/aerospace-05-00029-g007-550.jpg\" alt=\"Aerospace 05 00029 g007 550\" data-large=\"\/aerospace\/aerospace-05-00029\/article_deploy\/html\/images\/aerospace-05-00029-g007.png\" data-original=\"\/aerospace\/aerospace-05-00029\/article_deploy\/html\/images\/aerospace-05-00029-g007.png\" \/><\/div>\n<\/div>\n<div class=\"html-fig_description\"><b>Figure 7.<\/b>\u00a0Agglomeration of ADN particles.<\/div>\n<\/div>\n<\/section>\n<section id=\"sec3dot5-aerospace-05-00029\">\n<p class=\"html-italic\" data-nested=\"2\"><strong>3.5. Thermal Analysis<\/strong><\/p>\n<div class=\"html-p\">DSC results of pristine, prilled, and sonicated ADN samples are shown in\u00a0<a class=\"html-fig html-figpopup\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#fig_body_display_aerospace-05-00029-f008\">Figure 8<\/a>. Pristine and prilled ADN particles were reported to have two peaks in the range of 130 to 220 \u00b0C [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B32-aerospace-05-00029\">32<\/a>,<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B33-aerospace-05-00029\">33<\/a>]. The first peak around 130 \u00b0C indicates the decomposition of the dinitramide ion to produce ammonium nitrate and N<sub>2<\/sub>O. The second peak, which is minor peak compared to the first, indicates decomposition of ammonium nitrate [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B33-aerospace-05-00029\">33<\/a>]. All of our samples exhibit the similar trend of having two peaks. The coating of HTPB and PS on ADN particles has shifted the second peak to the range of 180 to 230 \u00b0C. Higher content of HTPB (20 wt %) causes slow burning of ADN sample. Thus, it has the first peak (at 200 \u00b0C) in higher temperature as compared to the other peaks. The trend in the DSC result for sonicated ADN particles is similar to the that of pristine and prilled ADN particles. This indicates that the technique used to coat the ADN particles has a negligible effect on the thermal properties of ADN particles. However, an exception was observed for sonicated ADN particles with 20 wt % HTPB. It has higher melting temperature due to the increased amount of HTPB, contributing to the delay in burning. The overall heat release (enthalpy) during decomposition is 1.78\u20133.35 kJ\/g (220\u2013416 kJ\/mol), which is in good agreement with published values [<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B34-aerospace-05-00029\">34<\/a>,<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B35-aerospace-05-00029\">35<\/a>,<a class=\"html-bibr\" title=\"\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#B36-aerospace-05-00029\">36<\/a>]. A summary of the results from thermal analysis is tabulated in\u00a0<a class=\"html-table html-tablepopup\" href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm#table_body_display_aerospace-05-00029-t004\">Table 4<\/a>.<\/div>\n<div id=\"aerospace-05-00029-f008\" class=\"html-fig-wrap\">\n<div class=\"html-fig_img\">\n<div class=\"html-figpopup html-figpopup-link\"><img src=\"http:\/\/www.mdpi.com\/aerospace\/aerospace-05-00029\/article_deploy\/html\/images\/aerospace-05-00029-g008-550.jpg\" alt=\"Aerospace 05 00029 g008 550\" data-large=\"\/aerospace\/aerospace-05-00029\/article_deploy\/html\/images\/aerospace-05-00029-g008.png\" data-original=\"\/aerospace\/aerospace-05-00029\/article_deploy\/html\/images\/aerospace-05-00029-g008.png\" \/><\/div>\n<\/div>\n<div class=\"html-fig_description\"><b>Figure 8.<\/b>\u00a0Thermal decomposition in differential scanning calorimetry (DSC) obtained for samples at 10 \u00b0C min<sup>\u22121<\/sup>\u00a0heating rate.<\/div>\n<\/div>\n<div id=\"aerospace-05-00029-t004\" class=\"html-table-wrap\">\n<div class=\"html-table_wrap_discription\"><b>Table 4.<\/b>\u00a0Details of thermal testing.<\/div>\n<div class=\"html-table_wrap_td\">\n<div class=\"html-tablepopup html-tablepopup-link\"><img src=\"http:\/\/img.mdpi.org\/img\/table.png\" alt=\"Table\" \/><\/div>\n<\/div>\n<\/div>\n<\/section>\n<\/section>\n<section id=\"sec4-aerospace-05-00029\">\n<p data-nested=\"1\"><strong>4. Conclusions<\/strong><\/p>\n<div class=\"html-p\">In this work, a method for the prilling and coating of ADN particles in an organic solvent using ultrasound sonication was demonstrated. The demonstrated method is suitable for the production of ADN particles in highly humid conditions beause ADN is not exposed to atmosphere throughout the process. The morphology of the particle has changed to semi-spherical. The particle size obtained is comparable to the melt prilling method. The combination of Cab-o-sil, CTAB, and graphene and HTPB provides good adhesion on the pristine ADN particles. The resulting hydrophobic coating has reduced the water absorption of the ADN particles. The ultrasound sonicated coating method does not change the thermal stability of the particles. This method should provide an alternative route in the production of densely packed ADN particles for use in space propulsion systems.<\/div>\n<\/section>\n<\/div>\n<div class=\"html-back\">\n<section id=\"html-ack\" class=\"html-ack\"><strong>Acknowledgments<\/strong><\/p>\n<div class=\"html-p\">This work was supported by eScience Fund from Ministry of Science, Technology and Innovation Malaysia (MOSTI), Project number: 04-02-12-SF0160.<\/div>\n<\/section>\n<section id=\"html-notes\" class=\"html-notes\"><strong>Author Contributions<\/strong><\/p>\n<div class=\"html-p\">All authors contributed to experimental design and data analysis. Asad Rahman performed the experiments and wrote the paper. Jitkai Chin contributed to project overview. Kean How Cheah contributed to data analysis and manuscript writing.<\/div>\n<\/section>\n<section id=\"html-notes\" class=\"html-notes\"><strong>Conflicts of Interest<\/strong><\/p>\n<div class=\"html-p\">The authors declare no conflict of interest. The founding sponsors had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript, and in the decision to publish the results.<\/div>\n<\/section>\n<\/div>\n<p><strong>Fuente:<\/strong>\u00a0<em><a href=\"http:\/\/www.mdpi.com\/2226-4310\/5\/1\/29\/htm\" target=\"_blank\" rel=\"noopener noreferrer\">http:\/\/www.mdpi.com<\/a><\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>La ADN (H4N4O4) en su forma gen\u00e9rica tiene una estructura acicular larga que dificulta su carga en estado s\u00f3lido. Por ello, es conveniente optimizar su&hellip; <\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[29,24],"tags":[],"_links":{"self":[{"href":"https:\/\/www.fie.undef.edu.ar\/ceptm\/index.php?rest_route=\/wp\/v2\/posts\/2780"}],"collection":[{"href":"https:\/\/www.fie.undef.edu.ar\/ceptm\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fie.undef.edu.ar\/ceptm\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fie.undef.edu.ar\/ceptm\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fie.undef.edu.ar\/ceptm\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2780"}],"version-history":[{"count":0,"href":"https:\/\/www.fie.undef.edu.ar\/ceptm\/index.php?rest_route=\/wp\/v2\/posts\/2780\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fie.undef.edu.ar\/ceptm\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2780"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fie.undef.edu.ar\/ceptm\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2780"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fie.undef.edu.ar\/ceptm\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2780"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}