<?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">NJGC</journal-id><journal-title-group><journal-title>New Journal of Glass and Ceramics</journal-title></journal-title-group><issn pub-type="epub">2161-7554</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/njgc.2012.21009</article-id><article-id pub-id-type="publisher-id">NJGC-16983</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>
 
 
  Crystal Structure and Electrical Properties of La&lt;sub&gt;0.45&lt;/sub&gt;Ce&lt;sub&gt;0.1&lt;/sub&gt;Li&lt;sub&gt;0.27&lt;/sub&gt;TiO&lt;sub&gt;3&lt;/sub&gt; Synthesized by Sol-Gel Technique
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>éstor</surname><given-names>Fernández</given-names></name><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Purificación</surname><given-names>Escribano</given-names></name></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Eloisa</surname><given-names>Cordoncillo</given-names></name></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Héctor</surname><given-names>Beltrán</given-names></name></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Mario</surname><given-names>F. García-Sánchez</given-names></name></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Issis</surname><given-names>C. Romero-Ibarra</given-names></name></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Nahum</surname><given-names>Masó</given-names></name></contrib></contrib-group><author-notes><corresp id="cor1">* E-mail:<email>rusonil@yahoo.com(ÉF)</email>;</corresp></author-notes><pub-date pub-type="epub"><day>12</day><month>01</month><year>2012</year></pub-date><volume>02</volume><issue>01</issue><fpage>59</fpage><lpage>64</lpage><history><date date-type="received"><day>November</day>	<month>26th,</month>	<year>2011</year></date><date date-type="rev-recd"><day>December</day>	<month>20th,</month>	<year>2011</year>	</date><date date-type="accepted"><day>December</day>	<month>30th,</month>	<year>2011</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>
 
 
  The lithium ionic conductingLa
  <sub>0.45</sub>Ce
  <sub>0.1</sub>Li
  <sub>0.27</sub>TiO
  <sub>3</sub> has been synthesized by sol-gel method. This solid is the result of substitutional doping with Ce(IV) in La
  <sub>0.45</sub>Ce
  <sub>0.1</sub>Li
  <sub>0.27</sub>TiO
  <sub>3</sub> compound. The aim of the replacement of La(III) by Ce(IV) is increase the number of vacancies in the structure and favors the ionic mobility. Structural characterization shows that the obtained material have the expected tetragonal P4/mmm perovskite structure. Chemical analysis shows that composition was homogeneus in all the sample. The bulk conductivity measured at room temperature is about the same as previously reported for its related lanthanum lithium titanate. However, the lower activation energy for ionic conduction encourages further searching for better conductors in this system.
 
</p></abstract><kwd-group><kwd>Lithium Ion Conductors; Sol Gel; Impedance Spectroscopy; Perovskite</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Fast lithium ion conductors with the general formula RE<sub>0.66–x</sub>Li<sub>3x</sub>TiO<sub>3</sub> (RE: La, Pr, Nd, Sm) have been intensively studied since the last decade [1-9]. The materials were prepared mainly by ceramic methods and showed perovskite-like crystal structure. The presence of RE(III) in the perovskite A-site causes the existence of vacancies in the crystal structure and allows lithium ion to move through the solid leading to a DC conduction. The maximum bulk conductivity found at room temperature in this kind of solids was 1.1 &#215; 10<sup>–3</sup> S&#183;cm<sup>–1</sup> for lanthanum lithium titanate system (LLTO) La<sub>0</sub><sub>.</sub><sub>66–x</sub>Li<sub>3x</sub>5<sub>1/3–2x</sub>TiO<sub>3</sub> with x = 0.11, which results is the better compromise between number of vacancies and lithium ions [2,3]. In this equation, 5 represents the number of vacancies. Substitution of other RE for A-site La always results in lower bulk conductivity. This fact has been related to the shortening of cell parameters found as a result of the smaller substitute cation ionic radius [<xref ref-type="bibr" rid="scirp.16983-ref9">9</xref>]. Many other related systems were prepared by substitutional doping for RE or Ti [10-12]. As a rule, none of these related solids improves the maximum conductivity value previously reported.</p><p>The accepted conduction mechanism consists on hopping lithium ions from its lattice site to adjacent vacancy across the so called “bottleneck” formed by four TiO<sub>6</sub> octahedra [8-10]. The reduction of cell parameters shrinks the bottleneck and raises the activation barrier for ionic movement. Conductivity values for these solids depend on the number of ionic charge carriers and the number of vacancies as well.</p><p>Crystal radii for Ce(IV) and La(III) in 12-coordination are reported by Sannon as 1.28 Ả and 1.50 Ả respecttively [<xref ref-type="bibr" rid="scirp.16983-ref13">13</xref>]. This value is in the borderline of the usually accepted 15% size difference limiting range for substitution without disrupting the structure [<xref ref-type="bibr" rid="scirp.16983-ref14">14</xref>]. It follows that Ce(IV) could substitute La(III) in LLTO A-site. Substitution of Ce(IV) for La(III) creates additional vacancies and must facilitate the ionic diffusion movement through the solid and improves its conduction properties, despite of the expected bottleneck shrinkage effect.</p><p>The sol-gel method preparation for precursor powders was chosen owing to its known lower reacting and sintering temperature and time. In addition, the materials synthesized by this method have uniform particles size and shape. These features are expected that improve the total material conductivity [15,16].</p><p>This paper discusses the preparation of Ce(IV) substitutional doped perovskite-like solid La<sub>0.45</sub>Ce<sub>0.1</sub>Li<sub>0.27</sub>TiO<sub>3</sub> via sol-gel and its structural and electrical characterization. This solid could be considered as a member of the hypothetical series La<sub>0.66–x–y</sub>Ce<sub>0.75y</sub>Li<sub>3x</sub>TiO<sub>3</sub> with x = 0.09 and y = 0.133. This material have the same lithium content that the equivalent material without Ce (i.e. La<sub>0.57</sub><sub> </sub>Li<sub>0.27</sub>5<sub>0.153</sub>TiO<sub>3</sub>), but the number of vacancies is about 20% higher (0.187).</p></sec><sec id="s2"><title>2. Experimental Section</title><p>The synthesis was carried out by sol-gel technique. 5 ml ethanol (99.8% Scharlau), 16.74 g Ti(isoO-Pr)<sub>4</sub> (98% Strem Chemicals) and 6.07 g acac (99.5% Panreac) were placed in a beaker with continuous stirring. Thereafter, another solution with 8 ml ethanol, 11.11 g La(NO<sub>3</sub>)<sub>3</sub>. 6H<sub>2</sub>O (99.9% Strem), 3.16 g (NH<sub>4</sub>)<sub>2</sub>[Ce(NO<sub>3</sub>)<sub>6</sub>] (99.9% Strem) and 1.07 g LiNO<sub>3</sub> (99% Strem) was added to the previous one. The solvent was evaporated during three days below IR lamp and the obtained gel was thoroughly dried in the oven at 100˚C. The dried gel was ground up in aghata mortar, placed into alumina crucible and heated at 2˚C/min up to 500˚C. This temperature was maintained for 2 h to complete the decomposition of organic precursors in the sample. The precursor powder obtained was ground up, pressed into 13 mm disk pellets and placed in Pt crucibles. The sample was covered with isocompositional powder and closed with Pt foil in order to prevent evaporation of lithium compounds [12,15,17- 19]. The sample was heated for reacting and sintering at 15˚C/min up to 1100˚C, at which temperature stood for 2 hours. Then it was slowly cooled to room temperature during about 10 hours.</p><p>Phase identification was done by X-ray diffraction (XRD) in a Siemens D-500 diffractometer using Cu K<sub>a</sub> radiation. Scanning electron microscopy (SEM) and energy dispersive X-ray spectroscopy (EDS) analysis were performed in an Oxford Instrument LEO 440i microscope. AC electrical measurements were performed from room temperature up to 300˚C in air using an HP 4192 Impedance analyser over the frequency range 100 Hz-13 MHz. Samples for electrical measurements were prepared from the pellets as they came out from synthesis, coated with gold paste and assembled between Pt electrodes. Dimensions of samples were measured with 0.01 mm precision caliper and they were weighted with 0.0001 g precision.</p></sec><sec id="s3"><title>3. Results and Discussion</title><p><xref ref-type="fig" rid="fig1">Figure 1</xref> shows the XRD pattern obtained from solid sample. The obtained peaks were indexed according to PDF 87 - 936 with reports parameters of P4/mmm tetragonal perovskite-like structure. Similar results were obtained in compounds without cerium synthesized by sol gel [<xref ref-type="bibr" rid="scirp.16983-ref16">16</xref>]. The phase tetragonal is usually found in compounds obtained by this method due to the low tem-</p></sec></body><back><ref-list><title>References</title><ref id="scirp.16983-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">A. G. Belous, G. N. Novitskaya, S. V. Polyanetskaya and Y. I. Gornikov, “Crystal-Chemical and Electrical-Physical Characteristics of Ln(2/3-x)M3xTiO3 Complex Oxides,” Zhur- nal Neorganicheskoi Khimii, Vol. 32, No. 2, 1987, pp. 283-286.</mixed-citation></ref><ref id="scirp.16983-ref2"><label>2</label><mixed-citation publication-type="other" xlink:type="simple">Y. Inaguma, C. Liquan, M. Itoh, T. Nakamura, T. Uchida, H. Ikuta and M. Wakihara, “High Ionic Conductivity in Lithium Lanthanum Titanate,” Solid State Communications, Vol. 86, No. 10, 1993, pp. 689-693. 
doi:10.1016/0038-1098(93)90841-A</mixed-citation></ref><ref id="scirp.16983-ref3"><label>3</label><mixed-citation publication-type="other" xlink:type="simple">H. Kawai and J. Kuwano, “Lithium Ion Conductivity of A-Site Deficient Pe-rovskite Solid Solution La0,67-xLi3x- TiO3,” Journal of The Electrochemical Society, Vol. 141, No. 7, 1994, pp. L78-L79. doi:10.1149/1.2055043</mixed-citation></ref><ref id="scirp.16983-ref4"><label>4</label><mixed-citation publication-type="other" xlink:type="simple">M. Morales and A. R. West, “Phase Diagram, Crystal Chemistry and Lithium Ion Conduc-tivity in the Perovs- kite-Type System Pr0,5+xLi0,5-3xTiO3,” Solid State Ionics, Vol. 91, No. 1-2, 1996, pp. 33-43. 
doi:10.1016/S0167-2738(96)00420-1</mixed-citation></ref><ref id="scirp.16983-ref5"><label>5</label><mixed-citation publication-type="other" xlink:type="simple">A. D. Robertson, S. García-Martín, A. Coats and A. R. West, “Phase Diagrams and Crystal Chemistry in the Li+ Ion Conducting Perovskites, Li0,5-3xRE0,5+3xTiO3: RE = Pr, Nd,” Journal of Materials Che-mistry, Vol. 5, No. 9, 1995, pp. 1405-1412. doi:10.1039/jm9950501405</mixed-citation></ref><ref id="scirp.16983-ref6"><label>6</label><mixed-citation publication-type="other" xlink:type="simple">A. I. Ruiz, M. L. López, M. L. Veiga and C. Pico, “Electrical Properties of La1,33-xLi3xTi2O6 (0,1 &lt; x &lt; 0,3),” Solid State Ionics, Vol. 112, No. 3-4, 1998, pp. 291-297. 
doi:10.1016/S0167-2738(98)00220-3</mixed-citation></ref><ref id="scirp.16983-ref7"><label>7</label><mixed-citation publication-type="other" xlink:type="simple">E. A. Fortal’nova, O. N. Gavrilenkov, A. G. Belous and E. D. Politova, “Lithium-Ion Conducting Oxides: Synthesis, Structure, and Electroconducting Properties,” Russian Journal of General Chemistry, Vol. 79, No. 9, 2009, pp. 1987-1997. doi:10.1134/S1070363209090308</mixed-citation></ref><ref id="scirp.16983-ref8"><label>8</label><mixed-citation publication-type="other" xlink:type="simple">P. Knauth, “Inorganic Solid Li Ion Conductors: An Overview,” Solid State Ionics, Vol. 180, No. 14-16, 2009, pp. 911-916. doi:10.1016/j.ssi.2009.03.022</mixed-citation></ref><ref id="scirp.16983-ref9"><label>9</label><mixed-citation publication-type="other" xlink:type="simple">O. Bohnke, “The Fast Li-thium-Ion Conducting Oxides Li3xLa2/3-xTiO3 from Fundamen-tals to Application,” Solid State Ionics, Vol. 179, No. 1-6, 2008, pp. 9-15.</mixed-citation></ref><ref id="scirp.16983-ref10"><label>10</label><mixed-citation publication-type="other" xlink:type="simple">S. Stramare, V. Thangadurai and W. Weppner, “Lithium Lanthanum Titanates: A Review,” Chemistry of Ma-terials, Vol. 15, No. 21, 2003, pp. 3974-3990. 
doi:10.1021/cm0300516</mixed-citation></ref><ref id="scirp.16983-ref11"><label>11</label><mixed-citation publication-type="other" xlink:type="simple">M.-L. Martínez-Sarrión, L. Me-stres, M. Herráiz, O. Ma- queda, A. Bakkali and N. Fernández, “Phase Diagram and Impedance Spectroscopy Study of the La0,5+x-yBiyLi0,5-3x- TiO3 System,” European Journal of Inor-ganic Chemistry, Vol. 2002, No. 7, 2002, pp. 1794-1800. 
doi:10.1002/1099-0682(200207)2002:7&lt;1794::AID-EJIC1794&gt;3.0.CO;2-#</mixed-citation></ref><ref id="scirp.16983-ref12"><label>12</label><mixed-citation publication-type="other" xlink:type="simple">M.-L. Martínez-Sarrión, L. Mestres, M. Herráiz, O. Ma- queda, N. Fernández and M. F. García, “Syn-thesis and Electrical Properties of the Pr0,5+x-yBiyLi0,5-3xTiO3 System,” European Journal of Inorganic Chemistry, Vol. 2003, No. 13, 2003, pp. 2458-2462. doi:10.1002/ejic.200200657</mixed-citation></ref><ref id="scirp.16983-ref13"><label>13</label><mixed-citation publication-type="other" xlink:type="simple">R. D. Shannon, “Revised Effective Ionic Radii and Systematic Studies of Interatomic Distances in Halides and Chalcogenides,” Acta Crystallographica, Vol. A32, No 5, 1976, pp. 751-767.</mixed-citation></ref><ref id="scirp.16983-ref14"><label>14</label><mixed-citation publication-type="other" xlink:type="simple">A. R. West, “Solid State Chemistry and its Applications,” John Wiley &amp; Sons, Hoboken, 1998.</mixed-citation></ref><ref id="scirp.16983-ref15"><label>15</label><mixed-citation publication-type="other" xlink:type="simple">M. F. García-Sánchez, N. Fernández, M.-L. Martínez-Sa- rrión, L. Mestres, M. Herraiz, P. Escribano, E. Cordoncillo and H. Beltrán, “Comparison of the Electrical Properties of the New Conductor Pr0.5Bi0.05Li0.35TiO3 Prepared by Sol-Gel and Ceramic Methods,” Physica Status Solidi (b), Vol. 242, No. 9, 2005, pp. 1924-1927. 
doi:10.1002/pssb.200461798</mixed-citation></ref><ref id="scirp.16983-ref16"><label>16</label><mixed-citation publication-type="other" xlink:type="simple">T. W?hrle, P. Gómez-Romero, T. Fries, K. West, M. R. Palacín and N. Ca-sa?-Pastor, “Sol-Gel Synthesis of the Lithium-Ion Conducting Perovskite La0,57Li0,3TiO3. Effect of the Synthesis and Thermal Treatments on the Structure and Conducting Properties,” Ionics, Vol. 2, No. 5-6, 1996, pp. 442-445. doi:10.1007/BF02375824</mixed-citation></ref><ref id="scirp.16983-ref17"><label>17</label><mixed-citation publication-type="other" xlink:type="simple">M. F. García, N. Fernández, K. Borrego, M.-L. Martínez- Sarrión, L. Mestres, M. Herraiz, “Study of the Lithium Insertion and Deinsertion in Perovskite Praseodymium Bismuth Lithium Titanate,” Journal of the Eu-ropean Ceramic Society, Vol. 25, No. 5, 2005, pp. 729-734.</mixed-citation></ref><ref id="scirp.16983-ref18"><label>18</label><mixed-citation publication-type="other" xlink:type="simple">S. García-Martín, M. A. Alario-Franco, H. Ehrenberg, J. Rodríguez-Carvajal and U. Amador, “Crystal Structure and Microstructure of Some La2/3-xLi3xTiO3 Oxides: An Example of the Complementary Use of Electron Diffraction and Microscopy and Synchrotron X-ray Diffraction to Study Complex Materials,” Journal of the American Chemical Society, Vol. 126, No. 11, 2004, pp. 3587-3596. doi:10.1021/ja038410l</mixed-citation></ref><ref id="scirp.16983-ref19"><label>19</label><mixed-citation publication-type="other" xlink:type="simple">O. I. V’yunov, O. N. Gavrilenko, L. L. Kovalenko, S. A. Chernukhin and L. O. Vasilechko, “In-tercalation Processes Influence the Structure and Electrophysical Properties of Lithium-Conducting Compounds Having Defect Perovskite Structure,” Russian Journal of Inorganic Che- mistry, Vol. 56, No. 1, 2011, pp. 93-98. 
doi:10.1134/S0036023611010232</mixed-citation></ref><ref id="scirp.16983-ref20"><label>20</label><mixed-citation publication-type="other" xlink:type="simple">N. S. P. Bhuvanesh, O. Bohnké, H. Duroy, M. P. Crosnier-Lopez, J. Emery and J. L. Fourquet, “Topotactic H+/Li+ Ion Exchange on La2/3-xLi3xTiO3: New Metastable Perovskite Phases La2/3-xTiO3-3x(OH)3x and La2/3-xTiO3-3x/2 Obtained by Further Dehydration,” Materials Research Bulletin, Vol. 33, No. 11, 1998, pp. 1681-1691. 
doi:10.1016/S0025-5408(98)00170-6</mixed-citation></ref><ref id="scirp.16983-ref21"><label>21</label><mixed-citation publication-type="other" xlink:type="simple">O. Bohnke, C. Bohnke and J. L. Fourquet, “Mechanism of Ionic Conduction and Electrochemical Intercalation of Lithium into the Perovskite Lanthanum Lithium Titanate,” Solid State Ionics, Vol. 91, No. 1-2, 1996, pp. 21-31. 
doi:10.1016/S0167-2738(96)00434-1</mixed-citation></ref><ref id="scirp.16983-ref22"><label>22</label><mixed-citation publication-type="other" xlink:type="simple">M. F. García-Sánchez, J.-C. M′Peko, A. R. Ruiz-Salvador, G. Rodríguez-Gattorno, Y. Echevarría, F. Fernández-Gu- tierrez and A. Delgado, “An Elementary Picture of Dielectric Spec-troscopy in Solids: Physical Basis,” Journal of Chemical Edu-cation, Vol. 80, No. 9, 2003, pp. 1062- 1073. doi:10.1021/ed080p1062</mixed-citation></ref><ref id="scirp.16983-ref23"><label>23</label><mixed-citation publication-type="other" xlink:type="simple">A. K. Jonscher, “Dielectric Re-laxation in Solids,” Chelsea Dielectric Press, London, 1983. </mixed-citation></ref><ref id="scirp.16983-ref24"><label>24</label><mixed-citation publication-type="other" xlink:type="simple">M. F. García-Sánchez, A. Ortiz, G. Santana,. M. Bizarro, J. Pe?a, F. Cruz-Gandarilla, M. A. Aguilar-Frutis and J. C. Alonso, “Synthesis and Characterization of Nanostructured Cerium Dioxide Thin Films Deposited by Ultrasonic Spray Pyrolysis,” Journal of the American Ceramic Society, Vol. 93, No. 1, 2010, pp. 155-160. 
doi:10.1111/j.1551-2916.2009.03374.x</mixed-citation></ref><ref id="scirp.16983-ref25"><label>25</label><mixed-citation publication-type="other" xlink:type="simple">M. F. García-Sánchez, J. Pe?a, A. Ortiz, G. Santana, J. Fandi?o, M. Bizarro, F. Cruz-Goundarilla and J. C. Alon- so, “Nanostruc-tured YSZ Thin Films for Solid Oxide Fuel Cells Deposited by Ultrasonic Spray Pyrolysis,” Solid State Ionics, Vol. 179, No. 7-8, 2008, pp. 243-249. 
doi:10.1016/j.ssi.2008.01.088</mixed-citation></ref><ref id="scirp.16983-ref26"><label>26</label><mixed-citation publication-type="other" xlink:type="simple">T. Talebi, M. Haji and B. Raissi, “Effect of Sintering Temperature on the Microstructure, Roughness and Electrochemical Impedance of Electrophoretically Deposited YSZ Electrolyte for SOFCs,” International Journal of Hydrogen Energy, Vol. 35, No. 17, 2010, pp. 9420-9426.  
doi:10.1016/j.ijhydene.2010.05.079</mixed-citation></ref><ref id="scirp.16983-ref27"><label>27</label><mixed-citation publication-type="other" xlink:type="simple">M.-F. García-Sánchez, N. Fernández, M-L. Martínez-Sar- rión, L. Mestres, F. Fernández-Gutierrez, G. Santana and R. Ruiz-Salvador, “Separation of Electronic and Ionic Con- ductivity in Mixed Conductors from the AC Response: Application to Pr0.56Bi0.04Li0.2TiO3,” Applied Physics Letters, Vol. 93, No. 3, 2008, 034105. doi:10.1063/1.2959189</mixed-citation></ref><ref id="scirp.16983-ref28"><label>28</label><mixed-citation publication-type="other" xlink:type="simple">D. Jonhson, “Zview for Windows,” Scribner Associates, Inc., Charlesville, Virginia, 2005.</mixed-citation></ref><ref id="scirp.16983-ref29"><label>29</label><mixed-citation publication-type="other" xlink:type="simple">M. Itoh, Y. Inaguma, W-H. Jung, L. Chen and T. Nakamura, “High Lithium Ion Conductivity in the Perovs- kite-Type Compounds Ln1/2Li1/2TiO3 (Ln = La, Pr, Nd, Sm,” Solid State Ionics, Vol. 70-71, No. 1, 1994, pp. 203- 207. doi:10.1016/0167-2738(94)90310-7</mixed-citation></ref><ref id="scirp.16983-ref30"><label>30</label><mixed-citation publication-type="other" xlink:type="simple">Y.-J. Shan, Y. In-aguma and M. Itoh, “The Effect of Electrostatic Potentials on Lithium Insertion for Perovskites Oxides,” Solid State Ionics, Vol. 79, 1995, pp. 245-251.  
doi:10.1016/0167-2738(95)00069-I</mixed-citation></ref></ref-list></back></article>