<?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">MRC</journal-id><journal-title-group><journal-title>Modern Research in Catalysis</journal-title></journal-title-group><issn pub-type="epub">2168-4480</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/mrc.2015.41005</article-id><article-id pub-id-type="publisher-id">MRC-53050</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>
 
 
  Catalytic Hydrogenation Reactions on Molybdenum Oxide
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>.</surname><given-names>Al-Kandari</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>S.</surname><given-names>Al-Kandari</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>A.</surname><given-names>M. Mohamed</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>F.</surname><given-names>Al-Kharafi</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>A.</surname><given-names>Katrib</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>College of Health Sciences, PAAET, Faiha, Kuwait</addr-line></aff><aff id="aff2"><addr-line>Chemistry Department, Kuwait University, Safat, Kuwait</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>ali.katrib@ku.edu.kw(AK)</email>;</corresp></author-notes><pub-date pub-type="epub"><day>09</day><month>01</month><year>2015</year></pub-date><volume>04</volume><issue>01</issue><fpage>36</fpage><lpage>42</lpage><history><date date-type="received"><day>19</day>	<month>November</month>	<year>2014</year></date><date date-type="rev-recd"><day>14</day>	<month>December</month>	<year>2014</year>	</date><date date-type="accepted"><day>6</day>	<month>January</month>	<year>2015</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>
 
 
  Partially reduced molybdenum trioxide deposited on titania under hydrogen at 673 K for 12 h ena- bled to convert several surface atomic layers to the catalytically active bifunctional (metal-acid) MoO
  <sub>2-x</sub>(OH)
  <sub>y</sub>/TiO
  <sub>2</sub> (MoTi) structure. The formed metallic function is the result of π bonding between adjacent Mo-Mo atoms placed along the C-axis of the rutile structure of MoO
  <sub>2</sub>. Delocalization of these π electrons produces a wire like atomic metal. This resembles in a way, the small Pt particles deposited on a support. Moreover, dissociated hydrogen atoms are bonded to sample surface oxygen to produce Br
  &amp;oslash;nsted acid Mo-OH function(s). These metal-acidic properties have been tested for several catalytic reactions requiring one or bothcatalytic functions. In this order, 2-propanol species could be considered as a model test of the acidic function via dehydration of the molecule to propene, while hydrogenation of the produced propene to propane is performed by the metallic function. Moreover, hydrogenation of 2-propanol to acetone, requires relatively strong metallic function. In this order, addition of small amount of alkali metal like rubidium will suppress the acidic function in MoO
  <sub>2-x</sub>(OH)
  <sub>y</sub>/TiO
  <sub>2</sub> and enhance the metallic function strength. The performance of the metallic function alone in this case will be evaluated. Titanium dioxide is employed in this catalytic system as a support. It does not have any catalytic effect. Association of XPS-UPS, ISS sur-face techniques with catalytic performances of this catalytic MoTi system will be presented.
 
</p></abstract><kwd-group><kwd>MoO&lt;sub&gt;2-x&lt;/sub&gt;(OH)&lt;sub&gt;y&lt;/sub&gt; Catalyst</kwd><kwd> XPS</kwd><kwd> Acid-Metal Functions</kwd><kwd> Hydrogenation</kwd><kwd> 2-Propanol</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Hydroisomerization and hydrogenation reactions of light naphtha compounds are of special interest in terms of improving the octane number of these compounds [<xref ref-type="bibr" rid="scirp.53050-ref1">1</xref>] . In general, these catalytic reactions are carried out using finely dispersed noble metals such as Pd, Pt, Rh [<xref ref-type="bibr" rid="scirp.53050-ref2">2</xref>] - [<xref ref-type="bibr" rid="scirp.53050-ref5">5</xref>] . Hydroisomerization process of these compounds requires both the metallic and acidic functions. Several problems are encountered using these noble metals based systems such as highly dispersed fine particles preparation, sintering and poisoning by sulfur and other trace metals. A molybdenum oxide based catalyst of bifunctional (metal-acid) MoO<sub>2−x</sub>(OH)<sub>y</sub>/TiO<sub>2</sub> (MoTi) properties has been prepared [<xref ref-type="bibr" rid="scirp.53050-ref6">6</xref>] - [<xref ref-type="bibr" rid="scirp.53050-ref8">8</xref>] . Controlled reduction by hydrogen of MoO<sub>3</sub> deposited on TiO<sub>2</sub> at 673 K results in the partial reduction of MoO<sub>3</sub> to MoO<sub>2</sub>, characterized by in-situ XPS-UPS techniques. The metallic properties of this system are attributed to the delocalized π bonding between adjacent Mo atoms placed along the C-axis of the deformed rutile structure of MoO<sub>2</sub> [Jones]. The specific morphology of these metallic-like π electrons is comparable to the metallic properties of finely dispersed Pt or Pd-nanoparticles. Furthermore, hydrogen molecules are dissociated by this metallic function. Consequently, bonding of the hydrogen atoms to surface oxygens results in the formation of Br&#248;nsted acid Mo-OH function(s). Both metallic and acidic sites are present on the catalyst surface. This is to be compared of commonly prepared bifunctional catalysts using the metallic properties of noble metals deposited on acidic supports such as zeolites or Al<sub>2</sub>O<sub>3</sub>. In this catalytic MoO<sub>2−x</sub>(OH)<sub>y</sub>/TiO<sub>2</sub> system, TiO<sub>2</sub> support provides larger surface area to the Mo phase and mechanical strength to the catalyst.</p><p>In this research work, we provide some catalytic hydrogenation reactions of C5-C7 alkenes. The catalytic performances of both acidic and metallic functions in terms of dehydration/hydrogenation of 2-propanol will be presented. Suppression of the Br&#248;nsted acid Mo-OH function(s) is achieved by the addition of controlled amount of alkali metal such as K or Rb.</p></sec><sec id="s2"><title>2. Experimental</title><sec id="s2_1"><title>2.1. Catalyst Preparation</title><p>The equivalent of 5 monolayers of molybdenum trioxide were deposited on TiO<sub>2</sub> using ammonium heptamolybdate (NH<sub>4</sub>)<sub>6</sub>Mo<sub>7</sub>O<sub>24</sub>∙4H<sub>2</sub>O (99.9%) supplied by STREM Chemicals. Titanium dioxide, TiO<sub>2</sub>, is Degussa P-25 (25% rutile) with a pore volume of 0.5 cm<sup>3</sup>/g and a BET surface area of 50 &#177; 5 m<sup>2</sup>/g. Supported catalysts are prepared by impregnating the appropriate amount of molybdenum in ammonium heptamolybdate salt following the method described by Pines et al. [<xref ref-type="bibr" rid="scirp.53050-ref9">9</xref>] . After impregnation, the catalyst is calcined at 773 K which enabled to convert the molybdenum compound to MoO<sub>3</sub> as characterized by XPS. Small amount of 2.5% by mass of rubidium with respect to Mo were added to the impregnated catalyst. Catalyst activation is achieved following in- situ reduction of the MoO<sub>3</sub>/TiO<sub>2</sub> system in a flow of 40 cm<sup>3</sup> H<sub>2</sub>/min. was carried out at 673 K. The hydrogen gas was a 99.9% pure product of KOAC (Kuwait).</p></sec><sec id="s2_2"><title>2.2. Catalyst Characterization</title><p>Characterization of the samples by XPS was conducted using VG Scientific ESCALAB-250Xi spectrometer. The radiation source was monochromatic of Al Kα operating at a power of 300 W (15 kV, 20 mA). UPS He(I) resonance 584 &#197; radiation of 21.217 eV was employed for the VB energy region measurements. Vacuum in the analysis chamber was below 7 &#215; 10<sup>−9</sup> mbar during all measurements. In-situ reduction was carried out in a high-pressure gas cell housed in the preparation chamber, with hydrogen flow at 120 mL/min. Binding energies were based on the carbon contamination C1s at 284.8 eV within an experimental error of &#177;0.2 eV.</p><p>Ion scattering measurements were performed on the same sample using He<sup>+</sup> with a kinetic energy of 1 KeV.</p></sec><sec id="s2_3"><title>2.3. Catalyst Tests</title><p>Time on stream catalytic reactions under atmospheric hydrogen pressure was studied. The reactant was drawn from the reservoir throw HPLC pump of flow rate of 0.1 ml/min then it passed though vaporizer and eventually it passed over a fixed bed quartz reactor containing the catalyst. A continuous H<sub>2</sub> flow of 40 cm<sup>3</sup>/min was allowed through 500 mg of the catalyst which contains 65 mg of Mo. The reaction mixture was separated and analyzed with an on-line gas chromatograph Chemito, India 1000 equipped with a Petrocol-DH column and a flame ionization detector.</p></sec></sec><sec id="s3"><title>3. Results and Discussion</title><sec id="s3_1"><title>3.1. XPS-UPS, ISS Catalyst Characterization</title><p>X-ray photoelectron spectroscopy XPS, UPS and Ion Scattering ISS techniques are the most appropriate surface techniques which enable to define the nature and composition of the outermost surface layers, responsible for the catalytic activity of a system. Characterization experiments were carried out in-situ at the same conditions of catalytic measurements. The assignment of the different oxidation states of Mo oxides is based on the Mo (3d<sub>3/2</sub>, <sub>5/2</sub>) spin-orbit components. These energies are at 235.85, 232.65 eV for MoO<sub>3</sub>, 234.9, 231.7 eV for Mo<sub>2</sub>O<sub>5</sub> and 232.3, 229.1 eV for MoO<sub>2</sub>. Continuous sample exposure to hydrogen as a function of reduction temperature results in the formation of large Mo (0) crystallites at 873 K. This metallic state of Mo is characterized by Mo(3d) spin-orbit components at 230.85 and 227.7 eV.</p><p>Two well-defined spectral lines at 235.9 and 232.7 eV were observed (<xref ref-type="fig" rid="fig1">Figure 1</xref>(a)) in the case of calcined Mo salt deposited on TiO<sub>2</sub>. These lines are assigned to the Mo (3d) spin-orbit components of MoO<sub>3</sub>. In situ exposure of the sample to hydrogen at 673 K for 12 h shows the presence of more complex structure of the Mo (3d) energy region (<xref ref-type="fig" rid="fig1">Figure 1</xref>(b)). Deconvolution of this band reveals the presence of three Mo oxides states. The most intense Mo (3d<sub>3/2</sub>,<sub>5/2</sub>) at 232.3 and 229.1 eV is assigned to MoO<sub>2</sub>. Lower concentration states of Mo<sub>2</sub>O<sub>5</sub> and MoO<sub>3</sub> are also present. Most probably, the MoO<sub>2</sub> structure constitutes the outermost surface structure of the sample. This statement is based on the fact that the XPS of the valence band following sample reduction at 673 K (<xref ref-type="fig" rid="fig2">Figure 2</xref>(b)) reveals the presence of DOS structure at the Fermi level, characteristic of the conductive π electrons of MoO<sub>2</sub>. This DOS structure (0.4 eV) at the surface of the sample is well defined in the UP spectrum (<xref ref-type="fig" rid="fig3">Figure 3</xref>(b)). Consequently, it is concluded that Mo<sub>2</sub>O<sub>5</sub> is present in the interphase between surface MoO<sub>2</sub> and unreduced MoO<sub>3</sub> in the bulk.</p><fig id="fig1"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref></label><caption><title> Mo(3d) region of MoO<sub>3</sub>/TiO<sub>2</sub> 5 layers (a) before treatment (b) after reduction at 673 K for 12 h</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/5-2530107x6.png"/></fig><fig id="fig2"  position="float"><label><xref ref-type="fig" rid="fig2">Figure 2</xref></label><caption><title> XPS of the valence band of 5 layers MoO<sub>3</sub>/TiO<sub>2</sub> (a) before treatment (b) after reduction at 673 K for 12 h</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/5-2530107x7.png"/></fig><fig id="fig3"  position="float"><label><xref ref-type="fig" rid="fig3">Figure 3</xref></label><caption><title> UPS of 5 layers MoO<sub>3</sub>/TiO<sub>2</sub> (a) before treatment (b) after reduction at 673 K for 12 h</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/5-2530107x8.png"/></fig><p>In the case of the reduced sample by hydrogen at 673 K (<xref ref-type="fig" rid="fig4">Figure 4</xref>(b)), the oxygen 1 s energy region shows the presence of a shoulder at 531.4 eV beside the main oxide oxygen. This is attributed to the formation of Br&#248;nsted acid Mo-OH function(s) on the sample surface. The Mo-OH formation takes place in a sequent of processes in which hydrogen molecules were dissociated by the delocalized π electrons to hydrogen atoms. Bonding of the produced active hydrogen atoms to surface oxygen results in the formation of Br&#248;nsted acid Mo-OH groups. As a result, a bifunctional MoO<sub>2</sub><sub>−</sub><sub>x</sub>(OH)<sub>y</sub> /TiO<sub>2</sub> structure is obtained.The XPS of the Ti 2p energy region before and after hydrogen reduction does not show any changes in neither the binding energy nor the spectral lines shape (<xref ref-type="fig" rid="fig5">Figure 5</xref>(a) and <xref ref-type="fig" rid="fig5">Figure 5</xref>(b)). In fact, TiO<sub>2</sub> is employed in this case as a support in order to increase the surface area and provide mechanical strength to the Mo catalyst. ISS spectra of the Mo sample shows the presence of Mo, Ti and oxygen on the sample surface before and after reduction (<xref ref-type="fig" rid="fig6">Figure 6</xref>(a) and <xref ref-type="fig" rid="fig6">Figure 6</xref>(b)). This indicates that Mo does not completely cover the TiO<sub>2</sub> surface, This is due, most probably to the formation of needle like crystallite structure of Mo on TiO<sub>2</sub> as observed by Bond et al. [<xref ref-type="bibr" rid="scirp.53050-ref10">10</xref>] .</p></sec><sec id="s3_2"><title>3.2. Catalytic Measurements</title><p>Hydrogenation catalytic reactions of C5 - C7 alkenes and dehydration/ hydrogenation of 2-propanol will be presented.</p><sec id="s3_2_1"><title>3.2.1. 1-Pentene</title><p>Complete conversion of 1-pentene to n-pentane takes place on the bifunctional MoO<sub>2−x</sub>(OH)<sub>y</sub>/TiO<sub>2</sub> at 423 K (<xref ref-type="fig" rid="fig7">Figure 7</xref>). Although the conversion remains unchanged at higher reaction temperatures, isomerization of the produced pentane to isopentane takes place. At 623 K, 54.9% of the hydrogenated n-pentane molecules undergo isomerization to iso-pentane via carbenium ion mechanism requiring both metal-acid functions [<xref ref-type="bibr" rid="scirp.53050-ref11">11</xref>] . At higher reaction temperature, hydrocracking reactions producing C1-C3 hydrocarbon species are favored. It is interesting to note that different catalytic behavior takes place using large Mo (0) crystallites. Hydrocraking C1-C3 products are dominant. Also, no isomerization process to i-C5 is observed. This is attributed, in part, to the relatively strong metallic function in Mo (0). Isomerization to iso-pentane cannot be performed due to the absence of the acidic function. Similar catalytic behavior to Mo (0) has been observed in the case of the addition of trace alkali metals such as K, Rb, Cs to the molybdenum oxide and reduced at 673 K. The promoter alkali metal in this case suppress the Br&#248;nsted acid Mo-OH in favor of Mo-OA (A = Rb).</p></sec><sec id="s3_2_2"><title>3.2.2. 1-Hexene</title><p>In similar way to what is observed in the case of 1-pentene, complete hydrogenation of 1-hexene molecules to n- hexane over MoO<sub>2−x</sub>(OH)<sub>y</sub>/TiO<sub>2</sub>takes place at 423 K. However, at higher reaction temperature, part of the produced n-hexane molecules are isomerized to mainly 2 and 3-methylhexane with a ratio 2 MP/3 MP = 1.5 in</p><fig id="fig4"  position="float"><label><xref ref-type="fig" rid="fig4">Figure 4</xref></label><caption><title> O1s region of 5 layers MoO<sub>3</sub>/TiO<sub>2</sub> (a) before treatment (b) after reduction at 673 K for 12 h</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/5-2530107x9.png"/></fig><fig id="fig5"  position="float"><label><xref ref-type="fig" rid="fig5">Figure 5</xref></label><caption><title> Ti 2P region of 5 layers MoO<sub>3</sub>/TiO<sub>2</sub> (a) before treatment (b) after reduction at 673 K for 12 h</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/5-2530107x10.png"/></fig><fig id="fig6"  position="float"><label><xref ref-type="fig" rid="fig6">Figure 6</xref></label><caption><title> ISS of 5 layer MoO<sub>3</sub>/TiO<sub>2</sub> (a) before treatment (b) after reduction at 673 K for 12 h</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/5-2530107x11.png"/></fig><fig id="fig7"  position="float"><label><xref ref-type="fig" rid="fig7">Figure 7</xref></label><caption><title> Hyrogenation and isomerization of 1-pentene on MoO<sub>2-x</sub>(OH)<sub>y</sub>/TiO<sub>2</sub> as a function of reaction temperature</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/5-2530107x12.png"/></fig><p>agreement with the thermodynamic ratio. Also and to lesser extent, 2,2 and 2,3 dimethylbutanesisomerizations products were obtained. Beyond 623 K reaction temperature, hydrocracking products are favored.</p></sec><sec id="s3_2_3"><title>3.2.3. 1-Heptene</title><p>Although complete hydrogenation of 1-heptene to heptane takes place at 423 K, in similar way to 1-pentene and 1-hexene catalytic reactions, considerable decrease in the hydrogenation process in favor of hydrocracking products at higher reaction temperature of 523 K is observed. This is due, most probably, to the size of the heptene molecule. Hydroisomerization of 1-heptene to mainly 2 and 3-methylhexanes with ratio 2 MH/3 MH is close to unity is observed. The selectivity of these isomers reach a maximum of 45% at 573 K reaction temperature. These catalytic results clearly demonstrate that concerted sequences of catalytic process in terms of hydrogenation followed by isomerization reactions (dehydrogenation/isomerization of the olefin/hydrogenatio take place on this bifunctional Mo oxide catalyst.</p></sec><sec id="s3_2_4"><title>3.2.4. 2-Propanol</title><p>The catalytic behavior of 2-propanol is generally used to determine the redox properties of oxide catalysts [<xref ref-type="bibr" rid="scirp.53050-ref12">12</xref>] . In this respect, three reactions could take place depending on the nature and strengths of the catalyst active sites. Dehydration of 2-propanol to propene is performed by the acidic site [<xref ref-type="bibr" rid="scirp.53050-ref13">13</xref>] [<xref ref-type="bibr" rid="scirp.53050-ref14">14</xref>] . On the other hand, hydrogenation of the produced propene to propane is performed by metallic function. More difficult dehydrogenation of 2-propanol to acetone is performed by a metallic function of certain strength. Complete conversion of 2-propa- nol to propene takes place at 423 K using the bifunctionalMoO<sub>2−x</sub>(OH)<sub>y</sub>/TiO<sub>2</sub> system. This conversion remains total at higher temperatures up to 673 K. However, at 523 K, 11.6% of the formed propene molecules are hydrogenated to propane. This hydrogenation process increases as a function of the reaction temperature to reach 81.7% at 673 K. The concerted dehydration/hydrogenation process is clearly demonstrated in this case. This is in agreement with the surface characterization of the MoO<sub>2-x</sub>(OH)<sub>y</sub>/TiO<sub>2</sub> system as a bifunctional (metal-acid) system. Dehydrogenation of 2-propanol to acetone was not observed in this Mo system. However, addition of small amount (2.5%) of Rb to the MoO<sub>3</sub>/TiO<sub>2</sub> after calcination enabled to obtain 47% of acetone at 473 K reaction temperature. In this Rb modified system, a drastic decrease in the dehydration/hydrogenation processes takes place. This is due to the suppression of the acidic function by the alkali metal addition. The catalytic activity and stability of this system has been tested for several days, time on stream experiments without any observed changes in its performances. Extended research for other catalytic reactions is underway.</p><p>The above data clearly demonstrate the excellent concordance of catalytic activity-surface XPS-UPS, ISS characterization techniques in identifying the type and, to some extent, the relative strength of the catalytic active sites in a given system.</p></sec></sec></sec><sec id="s4"><title>4. Conclusions</title><p>In situ XPS-UPS, ISS surface characterization enabled to define the chemical state of Mo following the calcination at 773 K of ammonium heptamolybdate deposited on TiO<sub>2</sub>, It was found that the calcination process at 773 K of both systems enabled to convert all Mo salt to MoO<sub>3</sub> state. However, in-situ hydrogen reduction results in partial conversion of MoO<sub>3</sub> to MoO<sub>2</sub> in the case of MoO<sub>3</sub>/TiO<sub>2</sub>. The molybdenum dioxide is present in form of bifunctional (metal/acid) MoO<sub>2-x</sub>(OH)<sub>y</sub>/TiO<sub>2</sub>(MoTi) structure. The acidic function could be suppressed by the addition of small amount of an alkali metal such as rubidium.</p><p>The bifunctional catalytic properties of MoTi and the only metallic properties of the modified system were evaluated for the hydrogenation catalytic reactions of C5 - C7 linear alkenes and 2-propanol. Complete hydrogenation takes place at 423 K, followed by hydroismerization processes performed by the metal-acid functions of the catalyst. Dehydration of 2-propanol to propene is the easiest catalytic process performed by the Mo-OH acidic function, followed by the hydrogenation of the produced olefin to alkane, is performed by the metallic function of the system. Dehydrogenation of 2-propanol to acetone was not observed using Mo oxide catalyst alone. It required the addition of small concentration of Rb to initiate this reaction at 423 K.</p></sec><sec id="s5"><title>Acknowledgements</title><p>The support by Kuwait University through research grant # SC01/13 and GFS project # GS02/08 is gratefully acknowledged.</p></sec><sec id="s6"><title>NOTES</title></sec></body><back><ref-list><title>References</title><ref id="scirp.53050-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Ghosh, P., Hickey, K.J. and Jaffe, S.B. 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