<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">MSA</journal-id><journal-title-group><journal-title>Materials Sciences and Applications</journal-title></journal-title-group><issn pub-type="epub">2153-117X</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/msa.2021.121001</article-id><article-id pub-id-type="publisher-id">MSA-106532</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Chemistry&amp;Materials Science</subject></subj-group></article-categories><title-group><article-title>
 
 
  Surface Modification of Barium Sulfate Particles
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Jérémy</surname><given-names>Longlade</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Christelle</surname><given-names>Delaite</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Anne-Sophie</surname><given-names>Schuller</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Laboratoire de Photochimie et d’Ingénierie Macromoléculaires, Université de Haute Alsace (UHA), Mulhouse Cedex, France</addr-line></aff><pub-date pub-type="epub"><day>14</day><month>01</month><year>2021</year></pub-date><volume>12</volume><issue>01</issue><fpage>1</fpage><lpage>14</lpage><history><date date-type="received"><day>6,</day>	<month>November</month>	<year>2020</year></date><date date-type="rev-recd"><day>12,</day>	<month>January</month>	<year>2021</year>	</date><date date-type="accepted"><day>15,</day>	<month>January</month>	<year>2021</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  In this study, surface modification of barium sulfate was investigated using several model molecules for chemical treatment: ethanesulfonic acid, butyric acid, trimethoxy(propyl) silane and phosphoric acid 2-hydroxyethyl methacrylate. Samples were characterized by FT-IR and TGA to check the capability of these model molecules to interact with BaSO
  <sub>4</sub> surface. The results pointed out the presence of an organic layer around the surface after the chemical treatment even after several washings to remove all species in excess. Model molecules were grafted onto BaSO
  <sub>4</sub> surface and grafted density was determined. It reveals that phosphoric acid and carboxylic acid are the best candidates for the modification of BaSO
  <sub>4</sub> surface. Both can be used as anchoring groups to modify the hydrophilic balance of barium sulfate surface in order to avoid the formation of aggregates and to improve the compatibility of this filler within hydrophobic polymer matrix.
 
</p></abstract><kwd-group><kwd>Barium Sulfate</kwd><kwd> Surface Modification</kwd><kwd> Grafted Density</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Barium sulfate (BaSO<sub>4</sub>) is available as barites, its naturally occurring form, or Blanc fixe which is a synthetic precipitate. Most barites are extracted from layers of sedimentary rock and used as weighting agent in oil or during natural gas drilling due to their high specific gravity [<xref ref-type="bibr" rid="scirp.106532-ref1">1</xref>]. Blanc fixe, is generally obtained by purification processes of barites, and has been widely used in many applications because of its whiteness, inertness, and opacity to X-rays [<xref ref-type="bibr" rid="scirp.106532-ref2">2</xref>] [<xref ref-type="bibr" rid="scirp.106532-ref3">3</xref>] [<xref ref-type="bibr" rid="scirp.106532-ref4">4</xref>]. It has been extensively used in industrial applications, as additives in pharmaceutical products or as filler and extenders in polymers and paints [<xref ref-type="bibr" rid="scirp.106532-ref4">4</xref>] - [<xref ref-type="bibr" rid="scirp.106532-ref10">10</xref>]. Blanc fixe is added in polymer formulations to reduce cost (replacement of titanium dioxide) and reinforce mechanical properties of paint films [<xref ref-type="bibr" rid="scirp.106532-ref9">9</xref>] [<xref ref-type="bibr" rid="scirp.106532-ref11">11</xref>] [<xref ref-type="bibr" rid="scirp.106532-ref12">12</xref>].</p><p>As the surface of BaSO<sub>4</sub> is hydrophilic, it is very difficult to disperse these particles in a lipophilic polymer matrix, resulting in a dramatically decrease of mechanical properties of materials [<xref ref-type="bibr" rid="scirp.106532-ref13">13</xref>]. For this reason, and in order to improve the dispersion of the BaSO<sub>4</sub> particles in the polymer matrix, it is essential to carry out modifications of their surface.</p><p>The objective of this study is to graft onto the surface of BaSO<sub>4</sub> some model molecules, in order to determine the best anchoring group. Functionalization can enhance the mechanical properties of polymeric films, due to the reinforcement of filler/polymer interface. Strong bonds between the grafting agent and the filler are able to ensure an optimal stress transfer between the polymer matrix and the inorganic particles [<xref ref-type="bibr" rid="scirp.106532-ref14">14</xref>] [<xref ref-type="bibr" rid="scirp.106532-ref15">15</xref>].</p><p>In literature, different modifying agents are employed especially to control morphology of synthetic barite crystal or to modify hydrophobic balance of barium sulfate nanoparticles during the synthesis. The most significant are carboxylic acid, and organic phosphorous groups. For example, the use of ethylenediaminetetraacetic acid (EDTA) has been reported for the controlled synthesis of BaSO<sub>4</sub> [<xref ref-type="bibr" rid="scirp.106532-ref9">9</xref>] [<xref ref-type="bibr" rid="scirp.106532-ref10">10</xref>] [<xref ref-type="bibr" rid="scirp.106532-ref16">16</xref>]. EDTA forms a complex with Ba<sup>2+</sup>, controlling the reactivity of Ba<sup>2+</sup> ions during the precipitation of BaSO<sub>4</sub>. The adsorption of polyelectrolytes like polyacrylates and polysulfonates are also described [<xref ref-type="bibr" rid="scirp.106532-ref17">17</xref>]. In the same way, phosphonate groups are used to modulate morphology and properties of barite crystals during their synthesis [<xref ref-type="bibr" rid="scirp.106532-ref18">18</xref>] [<xref ref-type="bibr" rid="scirp.106532-ref19">19</xref>]. Studies highlight the role of phosphate in the control of particle size and modification of surface properties of BaSO<sub>4</sub>, attributed to the presence of barium alkyl phosphonate [<xref ref-type="bibr" rid="scirp.106532-ref5">5</xref>]. Indeed, very few studies concern the post modification of barium sulfate particles [<xref ref-type="bibr" rid="scirp.106532-ref20">20</xref>]. However, in the paints and polymers industry in general, the coupling or dispersing agents are introduced at the same time as the filler.</p><p>The aim of this study is to analyze the barium sulfate surface after a chemical surface treatment with different functions in an organic solvent medium, in order to highlight specific interactions between functional groups and barite surface.</p></sec><sec id="s2"><title>2. Materials and Methods</title><sec id="s2_1"><title>2.1. Materials</title><p>Blanc Fixe Micro (BaSO<sub>4</sub>, Sachtleben), Ethanesulfonic acid 95% (186260 Aldrich), Butyric acid ≥ 99% (B103500 Aldrich), Trimethoxy(propyl) silane 97% (662275 Aldrich), Phosphoric acid 2-hydroxyethyl methacrylate &gt; 90% (SR 9054, Sartomer), Toluene anhydrous 99.8% (244511 Sigma-Aldrich), and N-Butyl Acetate (Univar) were used as received. All model molecules are presented in <xref ref-type="fig" rid="fig1">Figure 1</xref>.</p><p>The average particles diameter of BaSO<sub>4</sub> is 860 &#177; 22 nm (determined by dynamic light scattering—Malvern Mastersizer, dry process) and the specific area is equal to 2.5 m<sup>2</sup>/g (determined by BET analysis).</p></sec><sec id="s2_2"><title>2.2. Sample Preparation</title><p>To perform the chemical surface treatment of barium sulfate particles, 10 g of BaSO<sub>4</sub>, 4 g of model molecules diluted in 100 ml of appropriate solvent (toluene for butyric acid and trimethoxy(propyl) silane, butyl acetate for phosphoric acid 2-hydroxyethyl methacrylate and ethanesulfonic acid) are mixed and heated at 80˚C under magnetic stirring. After 1 h, the mixture is cooled down to room temperature and then centrifuged to remove solvent. 4 cycles of washing with appropriate solvent are performed by centrifugation to remove the species in excess. The BaSO<sub>4</sub> powder is then dried 15 h at 80˚C in an oven and then pelletized by compression molding. In case of untreated BaSO<sub>4</sub>, 10 g of BaSO<sub>4</sub> are mixed with toluene (or butyl acetate) and heat at 80˚C during 1 hour under magnetic stirring. Then, the mixture is cooled down to room temperature, centrifuged to remove solvent and finally dried 15 h at 80˚C in an oven.</p></sec><sec id="s2_3"><title>2.3. Methods</title><sec id="s2_3_1"><title>2.3.1. FT-IR</title><p>FT-IR analyses were performed using a VERTEX 70 spectrometer. All spectra were recorded from 400 to 4000 cm<sup>−</sup><sup>1</sup> using platinum diamond ATR. The molecules used as models and pelletized BaSO<sub>4</sub> powders were analyzed.</p></sec><sec id="s2_3_2"><title>2.3.2. Thermogravimetric Analysis</title><p>BaSO<sub>4</sub> powders (treated and untreated) were analyzed by thermogravimetric analysis (TGA) using a Q50 TGA from TA Instruments. All samples were heated from 30˚C to 800˚C at 10˚C/min under nitrogen.</p></sec></sec></sec><sec id="s3"><title>3. Results and Discussion</title><p>In order to graft organic molecules onto the surface of barium sulfate particles, model molecules and BaSO<sub>4</sub> powder were mixed in appropriate solvent and heat at 80˚C during 1 h. Model molecules were introduced in a large excess to allow a potential grafting onto the surface. Hence, several washings of powders were performed using appropriate solvent (solvent used for chemical treatment) to remove the excess of model molecules which are not grafted onto the surface of inorganic particles. Finally, powders were dried to remove solvent during 15 h at 80˚C and analyzed by FT-IR and TGA.</p><sec id="s3_1"><title>3.1. FT-IR Analyses</title><p>FT-IR analyses were performed in order to detect organic molecules onto the surface of inorganic particles (<xref ref-type="fig" rid="fig2">Figure 2</xref>). Strong absorptions were observed from 600 to 1200 cm<sup>−</sup><sup>1</sup> corresponding to stretching bands of barium sulfate. The presence of a large band at 3400 cm<sup>−</sup><sup>1</sup> is attributed to the stretching vibration of absorbed water on the hydrophilic surface of particles [<xref ref-type="bibr" rid="scirp.106532-ref5">5</xref>] [<xref ref-type="bibr" rid="scirp.106532-ref10">10</xref>] [<xref ref-type="bibr" rid="scirp.106532-ref21">21</xref>]. Spectrum highlights the difficulty to analyze organic residue due to the strong absorption of barium sulfate. In fact, the characteristic groups of organic molecules (trialkoxysilane, phosphoric acid or sulfonic acid groups) have bands located in the same zone as those of barium sulfate. So no significant difference is observed between the spectra, except for particles treated with phosphoric acid 2-hydroxyethyl methacrylate for which barium sulfate absorption bands are largest, which is probably due to the phosphorous compounds (hydrogen bonds).</p><p>In order to identify the characteristic groups of the various organic molecules outside the barium sulphate absorption zone, zooms were carried out between 1400 and 4000 cm<sup>−</sup><sup>1</sup> (<xref ref-type="fig" rid="fig3">Figure 3</xref> and <xref ref-type="fig" rid="fig4">Figure 4</xref>).</p><p>IR spectra of particles treated in butyl acetate with ethanesulfonic acid or phosphoric acid 2-hydroxyethyl methacrylate are presented in <xref ref-type="fig" rid="fig3">Figure 3</xref>. Analyses were focused on two areas: 2800 - 3000 cm<sup>−</sup><sup>1</sup> and 1450 - 1750 cm<sup>−</sup><sup>1</sup>. The presence of absorption bands at 2900 cm<sup>−</sup><sup>1</sup> only for phosphoric acid compound treated particles is attributed to the vibration mode of alkyl groups (ν C-H), corresponding to aliphatic chains of phosphoric acid 2-hydroxyethyl methacrylate [<xref ref-type="bibr" rid="scirp.106532-ref21">21</xref>]. Thus, other band at 1650 cm<sup>−</sup><sup>1</sup>, which is assigned to the C=O stretching vibration mode of the ester groups of phosphoric acid 2-hydroxyethyl methacrylate, confirms the existence of phosphoric acid groups onto the surface of barium sulfate. In counterpart, no specific bands of ethanesulfonic acid are observed. To conclude, FT-IR analyses of modified particles show that only phosphoric acid group is able to interact with the BaSO<sub>4</sub> surface.</p><p><xref ref-type="fig" rid="fig4">Figure 4</xref> presents the inorganic particles treated in toluene with butyric acid or trimethoxy(propyl) silane. As previously, the large peak at 3000 cm<sup>−</sup><sup>1</sup> can be attributed to the stretching vibration mode of alkyl groups for both trialkoxysilane and carboxylic acid derivates, and underlines the presence of organic groups. Thus, from 1500 to 1700 cm<sup>−</sup><sup>1</sup>, a new peak appears for particles modified with butyric acid. It was assigned to the C=O stretching vibration mode of carboxylic acid. The shift of this band compared to the C=O of free butyric acid (1700 cm<sup>−</sup><sup>1</sup> observed by FT-IR of raw material) indicates that the complex between COO<sup>−</sup> and Ba<sup>2+</sup> ions has been formed [<xref ref-type="bibr" rid="scirp.106532-ref10">10</xref>].</p><p>The presence of silane at the surface of the BaSO<sub>4</sub> particles, however, cannot be observed by IR.</p></sec><sec id="s3_2"><title>3.2. Thermogravimetric Analyses (TGA)</title><p>Thermogravimetric analyses were performed on all samples to quantify the presence of residual grafted molecules for treated BaSO<sub>4</sub> compared to an untreated one.</p><p><xref ref-type="fig" rid="fig5">Figure 5</xref> shows the TGA curves obtained for untreated BaSO<sub>4</sub> and treated BaSO<sub>4</sub>. The curves (a) and (b) correspond to thermogravimetric analyses of untreated BaSO<sub>4</sub> mixed with butyl acetate and toluene respectively. The curves are very close (less than 10% of standard deviation), suggesting that powders contain no solvent residues. Until 200˚C, the weight loss corresponds to physical desorption of water at the barium sulfate surface. Beyond 200˚C (from 200˚C to 550˚C), the weight loss is due to the elimination of chemisorbed water and to decomposition of barium hydroxides [<xref ref-type="bibr" rid="scirp.106532-ref5">5</xref>] [<xref ref-type="bibr" rid="scirp.106532-ref22">22</xref>].</p><p>The curves (c), (d), (e) and (f) refer to thermogravimetric analyses of BaSO<sub>4</sub> treated with ethanesulfonic acid, phosphoric acid 2-hydroxyethyl methacrylate, butyric acid and trimethoxy(propyl) silane respectively. Except for ethanesulfonic acid, for which the curve is similar to the reference, all curves present a significant weight loss compared to the raw BaSO<sub>4</sub>. In fact, a more important weight loss than for untreated BaSO<sub>4</sub> is observed until nearly 300˚C. These weight losses relate to the adsorption of organic molecules at the surface of particles.</p><p>However, the weight losses are very low (less than 2%), because of the weak specific area of BaSO<sub>4</sub> (2.5 m<sup>2</sup>/g). That means that the grafted density of molecules onto BaSO<sub>4</sub> surface is very low.</p><p>In spite of the low weight losses, the grafted densities of organic molecules were calculated.</p><p>Firstly, if the weight losses of untreated particles are only due to water desorption because of decomposition of barium hydroxides, their weight loss contribution on treated particles can be determined (%ref = 0.809% and 0.879% for untreated BaSO<sub>4</sub> in butyl acetate and toluene respectively).</p><p>So, the weight losses due to the degradation of organic molecules grafted onto the surface (ΔmGM) can be deduced from Equation (1).</p><p>Δ m GM = Δ m − % ref ∗ m (1)</p><p>where, Δm<sub>GM</sub> is the weight loss of the treated filler after the degradation of organic molecules used as models, Δm the total weight loss of treated particles determined by TGA, %<sub>ref</sub> the percentage weight loss due to adsorbed water and hydroxide groups condensation, and m the mass of treated particles used as sample for thermogravimetric analysis.</p><p>From Δm<sub>GM</sub>, the grafting density (molecules/nm<sup>2</sup>) of organic molecules can be calculated using Equation (2).</p><p>Grafting density = Δ m GM ∗ N A ∗ 10 18 S p ∗ m ∗ M TGA (2)</p><p>where, Δm GM is the weight loss of the treated filler due to the degradation of organic molecule, N<sub>A</sub> the Avogadro constant, Sp the specific surface area of particles (2.5 m<sup>2</sup>/g), m the mass of particles used as sample for thermogravimetric analysis and MTGA the molar mass of degraded organic molecule.</p><p>Some hypotheses were taken into account for the molar mass values MTGA. For ethanesulfonic acid and butyric acid, all molecules were degraded as gases: carbon dioxide, carbon monoxide, alkenes for butyric acid and sulfur dioxide and alkenes for ethanesulfonic acid [<xref ref-type="bibr" rid="scirp.106532-ref23">23</xref>]. So the molar masses of raw materials were used.</p><p>However, in case of trialkoxysilane and phosphoric acid compounds, only the organic parts of initial molecules are thermally degraded. The silicon and the phosphorus remained at the BaSO<sub>4</sub> surface in form of silica [SiOx] and phosphorus oxide [POx] residues respectively. Water adsorbed on particles and thermal activation lead to the hydrolysis and condensation of these species (<xref ref-type="fig" rid="fig6">Figure 6</xref>) [<xref ref-type="bibr" rid="scirp.106532-ref23">23</xref>] [<xref ref-type="bibr" rid="scirp.106532-ref24">24</xref>] [<xref ref-type="bibr" rid="scirp.106532-ref25">25</xref>].</p><p>In order to evaluate the stability of trimethoxy(propyl) silane during the surface modification process, chemical treatment was renewed in benzene-d6 (instead of anhydrous toluene) at 65˚C during 1h30. The hydrolysis of trialkoxysilane was followed by <sup>1</sup>H NMR, using the evolution of the proton peaks corresponding to both the methyl groups attached to the silane (-Si-(OCH<sub>3</sub>)<sub>3</sub>) and those released during the hydrolysis (CH<sub>3</sub>-OH), appearing at 3.44 and 3.07 ppm, respectively (<xref ref-type="fig" rid="fig7">Figure 7</xref>) [<xref ref-type="bibr" rid="scirp.106532-ref26">26</xref>] [<xref ref-type="bibr" rid="scirp.106532-ref27">27</xref>]. Analysis of supernatant revealed the presence of about 2% molar of methanol already observed before the treatment. Thus, no evolution of methyl groups attached to the silane was highlighted. Therefore, this trialkoxysilane is stable in anhydrous solution. However, the weight loss observed by TGA for BaSO<sub>4</sub> treated with alkoxysilane suggests that the condensation of trialkoxysilane onto BaSO<sub>4</sub> surface in anhydrous solvents can take place. In fact, it was reported that the traces of water physisorbed onto oxide surface can hydrolyze alkoxysilanes. Then, the hydrolyzed species can react with the hydroxyl groups present on the surface of the oxide via a hydrogen bond or a covalent bond. Finally, the growth of the organosilane layer occurs by condensation of hydrolyzed silanes [<xref ref-type="bibr" rid="scirp.106532-ref28">28</xref>] [<xref ref-type="bibr" rid="scirp.106532-ref29">29</xref>].</p><p>It is likely that the alkoxysilane was only partially hydrolyzed during the treatment. It was assumed that only one of methyl groups attached to the silane was hydrolyzed. Methanol produced by the hydrolysis of trialkoxysilane was removed by the cycles of washing before TGA analysis. The weight losses observed were probably due to the alkane gases issued from the degradation of the carbon chain (considered as propane) and the methanol issued from the degradation of methyl groups which were not hydrolyzed during chemical treatment (considered as methanol). The molar mass MTGA of the organic part degraded from trimethoxy(propyl) silane is given by Equation (3).</p><p>Msilane TGA = MPropane + 2 ∗ MMethanol = 1 0 8 . 18g/mol (3)</p><p>For phosphoric acid 2-hydroxyethyl methacrylate, only organic part of molecules, i.e. 2-hydroxyethyl methacrylate (HEMA) is degraded.</p><p>There are three possibilities according to the supplier data. R1 = R2 = RA named AA, R1 = RA/R2 = RB named AB and R1 = R2 = RB named BB (<xref ref-type="fig" rid="fig8">Figure 8</xref>).</p><p>For this reason, grafting densities taking into account the three cases AA, AB and BB described previously have to be calculated. The molar masses of degraded organic molecules due to these three species are summarized in <xref ref-type="table" rid="table1">Table 1</xref>.</p><p><sup>31</sup>P NMR spectroscopy was performed in order to determine the relative percentage of different species AA, AB and BB (<xref ref-type="fig" rid="fig9">Figure 9</xref>). The <sup>31</sup>P NMR spectrum reveals that phosphoric acid 2-hydroxyethyl methacrylate contains two major compounds as orthophosphate, monoester (AB) and diester (BB) of phosphoric acid 2-hydroxyethyl methacrylate [<xref ref-type="bibr" rid="scirp.106532-ref30">30</xref>] [<xref ref-type="bibr" rid="scirp.106532-ref31">31</xref>]. The triester (AA), orthophosphate and polyphosphates are in minority. These minor species were neglected for the determination of grafting density. The relative molar ratio of AB and BB were calculated using peak integration (Equation (4)). The results show a molar content of 56.7% of BB and 43.3% of AB.</p><p>% mol BB = ( BB ) peak integration ( BB ) + ( AB ) peak integration ∗ 100 (4)</p><p>The molar mass Mphosphoric acid TGA of degraded phosphoric acid 2-hydroxyethyl methacrylate calculated is 186.44 g/mol, using Equation (5).</p><p>M phosphoric acid TGA = ( 2 − % mol BB ) ∗ M HEMA (5)</p><p>where % mol BB is the relative molar percentage of phosphoric acid monoester compared to total of monoester and diester and MHEMA the molar mass of 2-hydroxyethyl methacrylate (130.14 g/mol).</p><p>The molar mass values MTGA used and the calculated grafting densities for all organic compounds are summarized in <xref ref-type="table" rid="table2">Table 2</xref>. The grafting density for ethanesulfonic acid is very low, in accordance with IR analysis. The conclusion is that sulfonic acid is not a good anchoring group to establish strong interactions with barium sulfate. The grafting density of trialkoxysilane, carboxylic acid and phosphoric acid derivates are more important. Hypotheses used for the calculated grafted density of alkoxysilane exclude the formation of multilayer. However, it is possible that the hydrolysis of methoxy groups is upper than 25%, and leads to the formation of multilayers. Despite this, the calculated value is considered to be representative of the actual grafting density.</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Molar masses of degraded organic molecules in function of species present in phosphoric acid 2-hydroxyethyl methacrylate</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Species</th><th align="center" valign="middle" >Molar masses of degraded molecules</th></tr></thead><tr><td align="center" valign="middle" >AA</td><td align="center" valign="middle" >M<sub>AA</sub> = 3M<sub>HEMA</sub> = 390.42 g/mol</td></tr><tr><td align="center" valign="middle" >AB</td><td align="center" valign="middle" >M<sub>AB</sub> = 2M<sub>HEMA</sub> = 260.28 g/mol</td></tr><tr><td align="center" valign="middle" >BB</td><td align="center" valign="middle" >M<sub>BB</sub> = M<sub>HEMA</sub> = 130.14 g/mol</td></tr></tbody></table></table-wrap><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Grafting densities of organic model molecules onto barium sulfate surface</title></caption><table><tbody><thead><tr><th align="center" valign="middle" ></th><th align="center" valign="middle" >Δm<sub>GM</sub>/m (%)</th><th align="center" valign="middle" >M<sub>TGA</sub> (g/mol)<sub> </sub></th><th align="center" valign="middle" >Grafting density<sup>(c)</sup> (molecules/nm<sup>2</sup>)</th></tr></thead><tr><td align="center" valign="middle" >Ethanesulfonic acid</td><td align="center" valign="middle" >0.08<sup>(a)</sup></td><td align="center" valign="middle" >110.1</td><td align="center" valign="middle" >1.7</td></tr><tr><td align="center" valign="middle" >Phosphoric acid 2-hydroxyethyl methacrylate</td><td align="center" valign="middle" >1.57<sup>(a)</sup></td><td align="center" valign="middle" >186.5</td><td align="center" valign="middle" >20.3</td></tr><tr><td align="center" valign="middle" >Trimethoxy(propyl) silane</td><td align="center" valign="middle" >0.45<sup>(b)</sup></td><td align="center" valign="middle" >108.2</td><td align="center" valign="middle" >9.9</td></tr><tr><td align="center" valign="middle" >Butyric acid</td><td align="center" valign="middle" >0.38<sup>(b)</sup></td><td align="center" valign="middle" >88.1</td><td align="center" valign="middle" >10.5</td></tr></tbody></table></table-wrap><p><sup>(a)</sup>Calculated using Equation (1) with untreated BaSO<sub>4</sub> in butyl acetate as reference: %ref = 0.809% (obtained by TGA); <sup>(b)Calculated</sup> using Equation (1) with untreated BaSO<sub>4</sub> in toluene as reference: %ref = 0.879% (obtained by TGA); <sup>(c)</sup>According to Equation (2).</p><p>The grafted densities for butyric acid and phosphoric acid 2-hydroxyethyl methacrylate are the highest. They are upper than 10 molecules/nm<sup>2</sup>. Carboxylic and phosphoric acids are therefore good candidates as anchoring groups on the surface of barium sulfate. Thus, phosphoric acid groups seem to be more appropriate than carboxylic acid groups according to calculated grafting density.</p><p>To conclude, TGA made it possible to distinguish the effectiveness of several functions in anchoring to the surface of barium sulfate. It underlines that phosphoric acid and carboxylic acid groups are good anchoring groups for barium sulfate.</p></sec></sec><sec id="s4"><title>4. Conclusion</title><p>The aim of this study was to analyze the barium sulfate surface after a chemical surface treatment with organic model molecules in order to define the best anchoring groups for BaSO<sub>4</sub> surface modification. FT-IR analyses and TGA have pointed out the presence of a residual organic layer after the chemical treatment of barium sulfate for all models compounds, even after several washings performed to remove species in excess, excepted for ethanesulfonic acid. This indicates that the organic layer is strongly absorbed on the BaSO<sub>4</sub> particles. A classification of the groups capable of anchoring to the surface of the BaSO<sub>4</sub> particles was determined based on the grafting densities calculated by TGA: phosphoric acid &gt; carboxylic acid &gt; trialkoxysilane &gt; sulfonic acid.</p></sec><sec id="s5"><title>Acknowledgements</title><p>The authors want to thanks M&#228;der company for its financial support.</p></sec><sec id="s6"><title>Conflicts of Interest</title><p>The authors declare no conflicts of interest regarding the publication of this paper.</p></sec><sec id="s7"><title>Cite this paper</title><p>Longlade, J., Delaite, C. and Schuller, A.-S. 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