<?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">JMP</journal-id><journal-title-group><journal-title>Journal of Modern Physics</journal-title></journal-title-group><issn pub-type="epub">2153-1196</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/jmp.2014.515147</article-id><article-id pub-id-type="publisher-id">JMP-50111</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Physics&amp;Mathematics</subject></subj-group></article-categories><title-group><article-title>
 
 
  Phosphorus Based Ceramics for Positive Electrode Synthesis and Characterization
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>iouma</surname><given-names>Kobor</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Abdou</surname><given-names>Kadri Diallo</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>Modou</surname><given-names>Tine</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Laboratoire de Chimie et de Physique des Matériaux (LCPM), Département de Physique, University Assane Seck of Ziguinchor, Ziguinchor, Senegal</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>dkobor@univ-zig.sn(IK)</email>;</corresp></author-notes><pub-date pub-type="epub"><day>15</day><month>09</month><year>2014</year></pub-date><volume>05</volume><issue>15</issue><fpage>1459</fpage><lpage>1466</lpage><history><date date-type="received"><day>24</day>	<month>April</month>	<year>2014</year></date><date date-type="rev-recd"><day>21</day>	<month>May</month>	<year>2014</year>	</date><date date-type="accepted"><day>15</day>	<month>June</month>	<year>2014</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>
 
 
  Historically, the LiCoO
  <sub>2</sub> is the most used as active material for battery positive electrode because of its great potential (3.7 - 4.2 V), its interesting specific capacity (150 mA&#183;h&#183;g
  <sup>-1</sup>) and its excellent life cycle 
  [1]
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  . However, its toxicity, the cobalt cost and its structural instability oriented research towards new materials more stable that can replace it. In another context, hybrid, electrical vehicles and communication (computers and mobile phones...) have increased the scientific and technological research for new materials capable of storing and return energy through a system called accumulator. And research has identified the phosphate olivine structure as the most prolific ceramic material for positive electrode. LiFePO<sub>4</sub> is a promising cathode material for Lithium-ion batteries. It provides high thermal stability and is synthesized using low cost materials. Unfortunately LiFePO<sub>4</sub> suffers from a low electrical conductivity, which is harmful to its electrochemical performance. Decreasing the particle size, coating the particles with carbon or doping with metal atoms can increase the conductivity of the material. In this paper, we present the synthesis, physico-chemical and electrical characterization of lithium and iron doped Al-phosphorrus-based ceramic. The NPK Fertiliser was used as Al and phosphorus precursors. The powder XRD spectrum shows a possible presence of LiFePO<sub>4</sub> and Fe<sub>2</sub>(PO)<sub>3</sub> in theheterostrcture. An important quantity of Al is found by EDX spectra which supposed that the most important based atom is Aluminum and not Phosphorus. This can explain the increase of the conductivity value 10<sup>2</sup> times more important than those found in the literature for LiFePO<sub>4</sub>.
 
</p></abstract><kwd-group><kwd>Characterization</kwd><kwd> X-Ray Diffraction</kwd><kwd> EDX</kwd><kwd> Ceramic</kwd><kwd> Positive Electrode</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>For decades most of the research for positive electrode technological achievements was devoted to transition metals oxides such as <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x6.png" xlink:type="simple"/></inline-formula> (M = Co, Ni, Mn). Thus the compounds synthesized from transition metals and poly anions <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x7.png" xlink:type="simple"/></inline-formula> have been actively investigated during the past decade. Polyanions groups such as (PO<sub>4</sub>)<sup>3−</sup> have many advantages such as:</p><p>• Structural stability (essential for security and element cycling);</p><p>• The chemical nature and their association with redox couple of the transition metal that gives high potential values of those oxides;</p><p>• the possibility of varying the crystal structures [<xref ref-type="bibr" rid="scirp.50111-ref2">2</xref>] .</p><p>Trad K. et al. [<xref ref-type="bibr" rid="scirp.50111-ref3">3</xref>] demonstrated that the LiFePO<sub>4</sub> phase exhibits interesting electrochemical performances. And various studies have shown that several factors such as the synthesis method, particle morphology, and electrical conductivity of the material are very important for achieving good electrochemical performances in lithium battery. In this work we try to synthesize phosphate based ceramic and increase its conductivity by using a very low cost and accessible product (NPK fertilizers) as the synthesis precursors and as the Al dopant.</p></sec><sec id="s2"><title>2. Experimental Procedure</title><p>In this section, the paper will focus on the different steps of the synthesis of a phosphorus base ceramic with NPK fertilizer, lithium chloride and iron chloride (3) as Li and Fe precursors. The structural and electrical characterization of the obtained materials at room temperature and high temperature will also be discussed.</p><sec id="s2_1"><title>2.1. Synthesis</title><p>NPK fertilizer with 20% of P<sub>2</sub>O<sub>5</sub> and chemical powders LiCl (99%) and FeCl<sub>3</sub>∙6H<sub>2</sub>O (99%) were used as starting materials. The NPK contains also non negligible quantity of Al, K and N considered here as dopants. The desired mol ratio Li/Fe/PO<sub>4 </sub>is 1:1:1/2. The ceramics were synthesized using the solide state technique. Powders were mixed in alcohol, ground and calcined at 400˚C for 2 hours in order to synthesize the LiFePO<sub>4</sub> based ceramics using a muffle furnace K114 of GmBH. The resulting powder mixture was mixed with 10 wt% polyvinyl alcohol (PVA) solution, and was pressed to prepare pellets with 13 mm of diameter and 1.2 mm of thickness with a 80 MPa uniaxial stress. The pellets were sintered at 800˚C for 4 hours in a sealed crucible (<xref ref-type="fig" rid="fig1">Figure 1</xref>).</p><fig id="fig1"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref></label><caption><title> (a) 400˚C calcined powder and (b) 800˚C calcined powder (c) pellet from the 800˚C calcined powder (d) pellet after metalization</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/8-7501835x8.png"/></fig></sec><sec id="s2_2"><title>2.2. Structural Analysis</title><p>X-Ray powder Diffraction was performed on synthesized powder with the help of a SIEMENS diffractometer equiped with sol-X detector using a monochromatic selecting CuKα radiation (<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x9.png" xlink:type="simple"/></inline-formula>&#197;).</p><p>To determine the actual chemical composition of the ceramic, a basic chemical microanalysis by EDX (Energy Dispersive X-ray spectrometry) method, called dispersive energy analysis, was performed. For this we used a SEM Cambridge S260.</p><p>The thermal expansion can be followed during a programmed heating cycle of the sample. Dilatometric analysis allows easy phases change identification, allotropic transformations identification and reactions in the solid state which take place during the heating and often phenomena accompanied by a significant increase in volume. These measures were performed by the use of a TMA Setsys Evolution Setaram dilatometer.</p></sec><sec id="s2_3"><title>2.3. Electrical Measurement</title><p>To study the electrical behavior of pellets, prepared from the synthesized ceramic powder, the stationary current measurement was performed. The pellet faces were metallized with silver paste using the screen printing method. For this characterization technique, the sample is mounted in a series circuit with a direct current generator. Using a multimeter, the current through the sample is measured. The applied voltage varies from 0 to 10 V in steps of 0.5 V. The <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x10.png" xlink:type="simple"/></inline-formula>-voltage characteristic is studied at different temperatures. The advantage of this technique relies on the determination of the pellet ohmic behavior. In fact, this behavior is the grains effect on the electrical conductivity of the material. The sample resistance <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x11.png" xlink:type="simple"/></inline-formula> is given by the inverse of the graph slope <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x12.png" xlink:type="simple"/></inline-formula> that is generally linear. The sample conductivity is deduced from its geometric parameters and its resistance by the formula:</p><disp-formula id="scirp.50111-formula662"><label>(1)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/8-7501835x13.png"  xlink:type="simple"/></disp-formula><p>With <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x14.png" xlink:type="simple"/></inline-formula> the thickness, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x15.png" xlink:type="simple"/></inline-formula>the surface and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x16.png" xlink:type="simple"/></inline-formula> the electrical conductivity of the sample.</p></sec></sec><sec id="s3"><title>3. Results and Discussion</title>Structural Analysis<p><xref ref-type="fig" rid="fig2">Figure 2</xref>(a) shows the X-ray diffraction pattern for the sample sythesized with the NPK fertilzer. The overall pattern (with the presence of various sharp peaks) indicates a relatively high degree of crystallinity. Diffraction peaks were identified as belonging to two phosphorus based crystalline compounds: iron phosphate, FePO<sub>4</sub> and lithiumiron phosphate, LiFePO<sub>4</sub>—“triphylite” [<xref ref-type="bibr" rid="scirp.50111-ref4">4</xref>] . Indeed, the presence of peaks at 21˚, 26˚ and 37˚ indicate the presence of FePO<sub>4</sub> component as well as the presence of peaks at 17˚, 26˚ and 37˚ confirms the presence of LiFePO<sub>4</sub> in the ceramic. However, we note other peaks, showing the possible presence of unidentified compounds which certainly came from the fertilizer chemical elements (N, K, Si, Al, etc). For us the presence of potassium should not have significant influence on the conductivity properties as belonging to the same chemical family as lithium and therefore having the same properties. As against, the presence of nitrogen would be considered as a dopant that could be beneficial.</p><p>The results of EDX analysis made for the samples (<xref ref-type="fig" rid="fig3">Figure 3</xref>) are consistent with the fact that the ceramic is based on a lithium iron phosphate, with Al, S and Ca atoms as dopants, making it a compound of possible general formula <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x17.png" xlink:type="simple"/></inline-formula> with the presence of Ca and S impurities. The aluminium peak is the sharpest. This could be explained by the presence of an aluminum rate larger than the other compounds. Thus, the ceramic may be rather considered aluminum based materials<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x18.png" xlink:type="simple"/></inline-formula>.</p><p>The thermal expansion of the samples was performed with a thermal cycle of 5˚C/min and rising to 20˚C/min without any plateau.</p><p><xref ref-type="fig" rid="fig4">Figure 4</xref> shows the sample behavior under a cycle heat treatment from room temperature to 900˚C. The first phase corresponds to an expansion of the material lattice parameter (<xref ref-type="fig" rid="fig4">Figure 4</xref>(a)) which starts from the ambient to 400˚C. This behavior can be explained by the natural behavior (thermal expansion) of any heated material. The second phase is from 400˚C to around 800˚C. This phase corresponds to contractions that are due to different physical phenomena namely dehydration and optionally some chemical compounds extrusion. Our ceramic densification begins only around 820˚C. From 820˚C, the curve shows a significant shrinkage which can be at</p><fig id="fig2"  position="float"><label><xref ref-type="fig" rid="fig2">Figure 2</xref></label><caption><title> X-ray powder diffraction pattern for (a) the as synthesized ceramic; (b) FePO<sub>4</sub> (●) and LiFePO<sub>4</sub> (□) [<xref ref-type="bibr" rid="scirp.50111-ref4">4</xref>] </title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/8-7501835x19.png"/></fig><fig id="fig3"  position="float"><label><xref ref-type="fig" rid="fig3">Figure 3</xref></label><caption><title> EDX spectra corresponding to the synthesized sample analysis</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/8-7501835x20.png"/></fig><fig id="fig4"  position="float"><label><xref ref-type="fig" rid="fig4">Figure 4</xref></label><caption><title> The thermal dilatation of the synthesized ceramic (a) global view; (b) a zoom between 100˚C to 800˚C and (c) the thermal expansion model</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/8-7501835x21.png"/></fig><p>tributed to glass transition of the material and thus the presence of a new and more stable crystal structure.</p><p><xref ref-type="fig" rid="fig4">Figure 4</xref>(b) shows a more detailed view of our ceramic behavior between room temperature and 800˚C. Four physical phenomena (shrinkages) can be observed. Between 400˚C to 450˚C, heat treatment accelerates the creation of structural defects which is characterized by a contraction of the lattice due to the iron components extrusion. This phenomenon is observed by Julien et al. [<xref ref-type="bibr" rid="scirp.50111-ref5">5</xref>] who detected the presence of Fe<sub>2</sub>O<sub>3</sub> and Li<sub>3</sub>Fe<sub>2</sub>(PO<sub>4</sub>)<sub>3</sub>. Other shrinkagesat 460˚C, 600˚C and 725˚C could be explained by the presence of other chemical impurities (N, K, Al, etc.) observed on EDX spectra (<xref ref-type="fig" rid="fig3">Figure 3</xref>).</p><p><xref ref-type="fig" rid="fig4">Figure 4</xref>(c) shows a modeling of the thermal behavior of our ceramic between 30˚C and 400˚C. It is noted that the thermal expansion is a quadratic function of the temperature for this range (before the shrinkage). This relation can be written as:</p><disp-formula id="scirp.50111-formula663"><label>(2)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/8-7501835x22.png"  xlink:type="simple"/></disp-formula><p>with<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x23.png" xlink:type="simple"/></inline-formula>, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x23.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x24.png" xlink:type="simple"/></inline-formula>and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x23.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x24.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x25.png" xlink:type="simple"/></inline-formula></p><p>The thermal expansion coefficient is determined for the temperature range between 30 and 150˚C at the heating rate and is equal to<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x26.png" xlink:type="simple"/></inline-formula>. This value is 10<sup>2</sup> times more important compared to values often found in the literature <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x26.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x27.png" xlink:type="simple"/></inline-formula> [<xref ref-type="bibr" rid="scirp.50111-ref6">6</xref>] . This low thermal expansion coefficient, compared to LiFePO<sub>4</sub>, is an advantage for using this material under extrem conditions.</p><p><xref ref-type="fig" rid="fig5">Figure 5</xref> shows the I-V curves under different temperatures (33˚C, 55˚C, 70˚C and 83˚C). The observed linearity of the curve <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x28.png" xlink:type="simple"/></inline-formula> reflects the ohmic behavior of the material under these temperatures. What could be explained by the fact that in this temperature, the conductivity is dominated by electrons movment. However the resistive or ohmic character of the material disappears when the temperature is increased (55˚C, 70˚C and 83˚C). In fact the vibrational contribution of atoms, at temperature over 33˚C, gives rise to ions which will contribute to the conduction phenomenon. Also when the material is subjected to a temperature increase, the space charges created by the impurities and defects increase the current through the material. This phenomenon, gradually, increases the effect of the ionic conduction which would dominate at high temperatures.</p><p>So we can conclude that at low temperature, conductivity is dominated by the electronic conduction while at high temperature the ionic one becomes important. This explains the non-linearity of these curves as soon as the temperature increases.</p><p>We modelized the DC current variation as a function of the voltage by a quadratic equation</p><disp-formula id="scirp.50111-formula664"><label>(3)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/8-7501835x29.png"  xlink:type="simple"/></disp-formula><p>The constants <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x30.png" xlink:type="simple"/></inline-formula> values are summarized in the <xref ref-type="table" rid="table1">Table 1</xref>. At low temperature<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x30.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x31.png" xlink:type="simple"/></inline-formula>.</p><p>These conductivity values obtained using the (Equation (1)) (<xref ref-type="table" rid="table1">Table 1</xref>) are larger than those usually obtained (<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x32.png" xlink:type="simple"/></inline-formula>in the case of intrinsic LiFePO<sub>4</sub>) [<xref ref-type="bibr" rid="scirp.50111-ref7">7</xref>] .</p><p>In most semiconductors or insulating materials, the conductivity is generally thermally activated according to the Arrhenius law:</p><disp-formula id="scirp.50111-formula665"><label>(4)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/8-7501835x33.png"  xlink:type="simple"/></disp-formula><p>so,<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x34.png" xlink:type="simple"/></inline-formula> (5)</p><p>This relation (Equation (5)) permits to calculate the activation energy of this material at this temperature</p><fig id="fig5"  position="float"><label><xref ref-type="fig" rid="fig5">Figure 5</xref></label><caption><title> I-Vcurves for different temperatures (33˚C, 55˚C, 70˚C and 83˚C)</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/8-7501835x35.png"/></fig><p>range. Its value (0.17 eV) is less important than those found in literature (0.31 - 0.5 eV) for LiFePO<sub>4</sub> materials [<xref ref-type="bibr" rid="scirp.50111-ref5">5</xref>] . The activation energies calculated at about 300 K decreases with increasing LiFePO<sub>4</sub> synthesis temperature according to Maccario [<xref ref-type="bibr" rid="scirp.50111-ref8">8</xref>] . The presence of many impurities (K, Si, Li, Fe, etc) can explain this difference and the weakness of the activation energy due to the ionic conduction. The result was expected because the value of ourceramic conductivity is 10<sup>2</sup> times higher than that of LiFePO<sub>4</sub>.</p><p>The curve behaviour in the <xref ref-type="fig" rid="fig6">Figure 6</xref> is known under the name of Universal Dynamic Response (UDR) [<xref ref-type="bibr" rid="scirp.50111-ref9">9</xref>] , in which the AC conductivity versus frequencies obeys the following law:</p><disp-formula id="scirp.50111-formula666"><label>(6)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/8-7501835x36.png"  xlink:type="simple"/></disp-formula><p>where <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x37.png" xlink:type="simple"/></inline-formula> and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x37.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x38.png" xlink:type="simple"/></inline-formula> are constants at a given temperature. <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x37.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x38.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x39.png" xlink:type="simple"/></inline-formula>is a measurement of the electric relaxational behavior, usually with a value of: <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x37.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x38.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x39.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x40.png" xlink:type="simple"/></inline-formula>[<xref ref-type="bibr" rid="scirp.50111-ref9">9</xref>] . Many “elementary” hops of the mobile ions are seen (per unit time) within a sufficiently short time window, corresponding to the plateau of the conductivity. Eventually, however, only a small fraction of them prove “successful”, contributing to the DC conductivity and thus constituting the long-time “random” hopping dynamics of the ions. In glassy and structurally disordered crystalline electrolytes, the “elementary” hops as well as the fraction of “successful” ones are usually Arrhenius activated [<xref ref-type="bibr" rid="scirp.50111-ref10">10</xref>] . The particularity of this material is the fact that such behavior is observed in dielectric or insulating matreials at high frequencies while it is observed here at relatively low frequencies (&lt;10<sup>4</sup> Hz). We used the Equation (4) to determine the values of <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x37.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x38.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x39.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x40.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x41.png" xlink:type="simple"/></inline-formula> and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x37.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x38.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x39.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x40.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x41.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x42.png" xlink:type="simple"/></inline-formula> with<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x37.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x38.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x39.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x40.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x41.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x42.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x43.png" xlink:type="simple"/></inline-formula>, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x37.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x38.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x39.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x40.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x41.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x42.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x43.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x44.png" xlink:type="simple"/></inline-formula>and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x37.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x38.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x39.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x40.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x41.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x42.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x43.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x44.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x45.png" xlink:type="simple"/></inline-formula> found according, at ambient temperature, the following equation:</p><disp-formula id="scirp.50111-formula667"><label>(7)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/8-7501835x46.png"  xlink:type="simple"/></disp-formula><p>For Sidebottom [<xref ref-type="bibr" rid="scirp.50111-ref11">11</xref>] , the value of the exponent n is depending to the dimension order in the conducting space.</p><p>The value of the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x47.png" xlink:type="simple"/></inline-formula> conductivity from the UDR curve is appreciably 10 times less important that those found in the DC conductivity measurement.</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> The physico-chemical and electrical coefficients of the as synthesized ceramic</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  colspan="5"  >Constants (10<sup>−6</sup>)</th></tr></thead><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x48.png" xlink:type="simple"/></inline-formula>(˚C)</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x49.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x50.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x51.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x53.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x52.png" xlink:type="simple"/></inline-formula></td></tr><tr><td align="center" valign="middle" >33</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >1.027</td><td align="center" valign="middle" >0.203</td><td align="center" valign="middle" >1.31&#215; 10<sup>−7</sup></td></tr><tr><td align="center" valign="middle" >55</td><td align="center" valign="middle" >−0.076</td><td align="center" valign="middle" >1.992</td><td align="center" valign="middle" >−0.103</td><td align="center" valign="middle" >1.94 &#215; 10<sup>−7</sup></td></tr><tr><td align="center" valign="middle" >70</td><td align="center" valign="middle" >−0.079</td><td align="center" valign="middle" >2.180</td><td align="center" valign="middle" >−0.035</td><td align="center" valign="middle" >2.16 &#215; 10<sup>−7</sup></td></tr><tr><td align="center" valign="middle" >83</td><td align="center" valign="middle" >−0.108</td><td align="center" valign="middle" >2.496</td><td align="center" valign="middle" >0.255</td><td align="center" valign="middle" >2.86 &#215; 10<sup>−7</sup></td></tr></tbody></table></table-wrap><fig id="fig6"  position="float"><label><xref ref-type="fig" rid="fig6">Figure 6</xref></label><caption><title> AC conductivity behavior at low frequencies</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/8-7501835x54.png"/></fig></sec><sec id="s4"><title>4. Conclusions</title><p>In this work, we have shown that it is possible to use a very low cost product as (NPK fertilizer) for a LiFePO<sub>4</sub> based ceramics for accumulators. The physicochemical properties by XRD and EDX showed that this material is mainly composed of aluminum, phosphorus, calcium and impurities considered as dopants (Fe, K, Li etc.). A chemical component as <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/8-7501835x55.png" xlink:type="simple"/></inline-formula> is proposed as synthesized ceramic. This material has yielded interesting results for the electrical conductivity (10<sup>2</sup> times greater than that of LiFePO<sub>4</sub>) that is one of the most interesting properties for batteries. On the other hand the low thermal expansion coefficient shows that it may be more advantageous to use this material in certain temperature conditions.</p><p>Finally we can conclude that we have achieved an electronic ceramic using very low cost products with interesting electrical and physical properties which could improve the batteries performances.</p><p>Advanced studies are in progress with other physico-chemical analysis to determine a quantitative composition of this material.</p></sec><sec id="s5"><title>Acknowledgments</title><p>Financial support of the Senegalese Ministry High Education and Research and the West African Economic and Monetary Union (WAEMU) are gratefully acknowledged.</p></sec><sec id="s6"><title>NOTES</title></sec></body><back><ref-list><title>References</title><ref id="scirp.50111-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Aimable, A., et al. 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