A simultaneous determination of nucleation and growth rates from batch spontaneous precipitation
Identifieur interne : 001669 ( Istex/Corpus ); précédent : 001668; suivant : 001670A simultaneous determination of nucleation and growth rates from batch spontaneous precipitation
Auteurs : M. Aoun ; E. Plasari ; R. David ; J. VillermauxSource :
- Chemical Engineering Science [ 0009-2509 ] ; 1999.
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Abstract
A review of the literature shows that many methods for determining the nucleation and growth rates from batch precipitation experiments are inaccurate. Therefore, a new method has been developed to derive these two rates based on the simultaneous measurement of the supersaturation and the crystal size distribution during a batch spontaneous precipitation. All experimental data are used without any previous numerical treatment and the differential kinetic equations are replaced by integral ones to avoid numeric derivation. The kinetic parameters of the two postulated laws of nucleation and crystal growth rates in kinetic equations are separately determined by non-linear optimization. This method was applied to barium sulphate precipitation. Experiments were performed in a 20l stirred reactor. Effects of reagent adding order and stirring speed were noticed. The influence of initial supersaturation was determined. The nucleation rate was found to obey an exponential law with a primary heterogeneous dominating process. The linear rate of crystal growth follows a 2.1 power law and the process seems to be limited by a surface integration step. The kinetic results were compared to those previously reported.
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DOI: 10.1016/S0009-2509(98)00488-6
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David</name><affiliation><mods:affiliation>Ecole des Mines d’Albi-Carmaux, Centre Poudres et Procédés, Campus Jarlard, Route de Teillet, 81 013 Albi CT Cedex 09, France</mods:affiliation></affiliation></author><author><name sortKey="Villermaux, J" sort="Villermaux, J" uniqKey="Villermaux J" first="J." last="Villermaux">J. Villermaux</name><affiliation><mods:affiliation>Laboratoire des Sciences du Génie Chimique, CNRS-E.N.S.I.C./I.N.P.L., 1, rue Grandville, B.P. 451 - 54 001, Nancy Cedex, France</mods:affiliation></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:8106214775F94462263FFE48A4D668E7E893F0AF</idno><date when="1999" year="1999">1999</date><idno type="doi">10.1016/S0009-2509(98)00488-6</idno><idno type="url">https://api.istex.fr/document/8106214775F94462263FFE48A4D668E7E893F0AF/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">001669</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">001669</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">A simultaneous determination of nucleation and growth rates from batch spontaneous precipitation</title><author><name sortKey="Aoun, M" sort="Aoun, M" uniqKey="Aoun M" first="M." last="Aoun">M. Aoun</name><affiliation><mods:affiliation>Ecole des Mines d’Albi-Carmaux, Centre Poudres et Procédés, Campus Jarlard, Route de Teillet, 81 013 Albi CT Cedex 09, France</mods:affiliation></affiliation></author><author><name sortKey="Plasari, E" sort="Plasari, E" uniqKey="Plasari E" first="E." last="Plasari">E. Plasari</name><affiliation><mods:affiliation>Laboratoire des Sciences du Génie Chimique, CNRS-E.N.S.I.C./I.N.P.L., 1, rue Grandville, B.P. 451 - 54 001, Nancy Cedex, France</mods:affiliation></affiliation></author><author><name sortKey="David, R" sort="David, R" uniqKey="David R" first="R." last="David">R. David</name><affiliation><mods:affiliation>Ecole des Mines d’Albi-Carmaux, Centre Poudres et Procédés, Campus Jarlard, Route de Teillet, 81 013 Albi CT Cedex 09, France</mods:affiliation></affiliation></author><author><name sortKey="Villermaux, J" sort="Villermaux, J" uniqKey="Villermaux J" first="J." last="Villermaux">J. Villermaux</name><affiliation><mods:affiliation>Laboratoire des Sciences du Génie Chimique, CNRS-E.N.S.I.C./I.N.P.L., 1, rue Grandville, B.P. 451 - 54 001, Nancy Cedex, France</mods:affiliation></affiliation></author></analytic><monogr></monogr><series><title level="j">Chemical Engineering Science</title><title level="j" type="abbrev">CES</title><idno type="ISSN">0009-2509</idno><imprint><publisher>ELSEVIER</publisher><date type="published" when="1999">1999</date><biblScope unit="volume">54</biblScope><biblScope unit="issue">9</biblScope><biblScope unit="page" from="1161">1161</biblScope><biblScope unit="page" to="1180">1180</biblScope></imprint><idno type="ISSN">0009-2509</idno></series><idno type="istex">8106214775F94462263FFE48A4D668E7E893F0AF</idno><idno type="DOI">10.1016/S0009-2509(98)00488-6</idno><idno type="PII">S0009-2509(98)00488-6</idno><idno type="ArticleID">2564</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0009-2509</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Barium sulphate</term><term>Crystal growth rate</term><term>Crystallization</term><term>Kinetic methods</term><term>Nucleation rate</term><term>Precipitation</term></keywords></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">A review of the literature shows that many methods for determining the nucleation and growth rates from batch precipitation experiments are inaccurate. Therefore, a new method has been developed to derive these two rates based on the simultaneous measurement of the supersaturation and the crystal size distribution during a batch spontaneous precipitation. All experimental data are used without any previous numerical treatment and the differential kinetic equations are replaced by integral ones to avoid numeric derivation. The kinetic parameters of the two postulated laws of nucleation and crystal growth rates in kinetic equations are separately determined by non-linear optimization. This method was applied to barium sulphate precipitation. Experiments were performed in a 20l stirred reactor. Effects of reagent adding order and stirring speed were noticed. The influence of initial supersaturation was determined. The nucleation rate was found to obey an exponential law with a primary heterogeneous dominating process. The linear rate of crystal growth follows a 2.1 power law and the process seems to be limited by a surface integration step. The kinetic results were compared to those previously reported.</div></front></TEI><istex><corpusName>elsevier</corpusName><author><json:item><name>M. Aoun</name><affiliations><json:string>Ecole des Mines d’Albi-Carmaux, Centre Poudres et Procédés, Campus Jarlard, Route de Teillet, 81 013 Albi CT Cedex 09, France</json:string></affiliations></json:item><json:item><name>E. Plasari</name><affiliations><json:string>Laboratoire des Sciences du Génie Chimique, CNRS-E.N.S.I.C./I.N.P.L., 1, rue Grandville, B.P. 451 - 54 001, Nancy Cedex, France</json:string></affiliations></json:item><json:item><name>R. David</name><affiliations><json:string>Ecole des Mines d’Albi-Carmaux, Centre Poudres et Procédés, Campus Jarlard, Route de Teillet, 81 013 Albi CT Cedex 09, France</json:string></affiliations></json:item><json:item><name>J. Villermaux</name><affiliations><json:string>Laboratoire des Sciences du Génie Chimique, CNRS-E.N.S.I.C./I.N.P.L., 1, rue Grandville, B.P. 451 - 54 001, Nancy Cedex, France</json:string></affiliations></json:item></author><subject><json:item><lang><json:string>eng</json:string></lang><value>Crystallization</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>Precipitation</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>Nucleation rate</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>Crystal growth rate</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>Kinetic methods</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>Barium sulphate</value></json:item></subject><articleId><json:string>2564</json:string></articleId><language><json:string>eng</json:string></language><originalGenre><json:string>Full-length article</json:string></originalGenre><abstract>A review of the literature shows that many methods for determining the nucleation and growth rates from batch precipitation experiments are inaccurate. Therefore, a new method has been developed to derive these two rates based on the simultaneous measurement of the supersaturation and the crystal size distribution during a batch spontaneous precipitation. All experimental data are used without any previous numerical treatment and the differential kinetic equations are replaced by integral ones to avoid numeric derivation. The kinetic parameters of the two postulated laws of nucleation and crystal growth rates in kinetic equations are separately determined by non-linear optimization. This method was applied to barium sulphate precipitation. Experiments were performed in a 20l stirred reactor. Effects of reagent adding order and stirring speed were noticed. The influence of initial supersaturation was determined. The nucleation rate was found to obey an exponential law with a primary heterogeneous dominating process. The linear rate of crystal growth follows a 2.1 power law and the process seems to be limited by a surface integration step. The kinetic results were compared to those previously reported.</abstract><qualityIndicators><score>7.16</score><pdfVersion>1.2</pdfVersion><pdfPageSize>552 x 775 pts</pdfPageSize><refBibsNative>false</refBibsNative><keywordCount>6</keywordCount><abstractCharCount>1219</abstractCharCount><pdfWordCount>8648</pdfWordCount><pdfCharCount>54609</pdfCharCount><pdfPageCount>20</pdfPageCount><abstractWordCount>180</abstractWordCount></qualityIndicators><title>A simultaneous determination of nucleation and growth rates from batch spontaneous precipitation</title><pii><json:string>S0009-2509(98)00488-6</json:string></pii><refBibs><json:item><host><author><json:item><name>M Angerho¨angerho¨fer</name></json:item></author><title>ºntersuchungen zur Kinetik der Faïlungskristallisation von Bariumsulfat</title><publicationDate>1994</publicationDate></host></json:item><json:item><author><json:item><name>M Aoun</name></json:item><json:item><name>E Plasari</name></json:item><json:item><name>R David</name></json:item><json:item><name>J Villermaux</name></json:item></author><host><volume>51</volume><pages><last>2458</last><first>2449</first></pages><author></author><title>Chem. Engng Sci</title><publicationDate>1996</publicationDate></host><title>Are barium sulphate kinetics sufficiently known for testing precipitation reactor models?</title><publicationDate>1996</publicationDate></json:item><json:item><host><author><json:item><name>M Aoun</name></json:item></author><title>Etude cine´cine´tique par une nouvelle methode de la pre´pre´cipitation du sulphate de baryum a` partir de diffe´diffe´rentes solutions reáctives et a` stoechiome´stoechiome´trie variable</title><publicationDate>1996</publicationDate></host></json:item><json:item><author><json:item><name>P,M Armenante</name></json:item><json:item><name>D,J Kirwan</name></json:item></author><host><volume>44</volume><pages><last>2796</last><first>2781</first></pages><author></author><title>Chem. Engng Sci</title><publicationDate>1989</publicationDate></host><title>Mass transfer to microparticles in agitated systems</title><publicationDate>1989</publicationDate></json:item><json:item><author><json:item><name>J Baldyga</name></json:item><json:item><name>W Podgorska</name></json:item><json:item><name>R Pohorecki</name></json:item></author><host><volume>50</volume><pages><last>1300</last><first>1281</first></pages><author></author><title>Chem. Engng Sci</title><publicationDate>1995</publicationDate></host><title>Mixing precipitation model with application to double feed semibatch precipitation</title><publicationDate>1995</publicationDate></json:item><json:item><author><json:item><name>W,J Benton</name></json:item><json:item><name>I,R Collins</name></json:item><json:item><name>I,M Grimsay</name></json:item><json:item><name>G,M Parkinson</name></json:item><json:item><name>S,A Rodger</name></json:item></author><host><volume>95</volume><pages><last>297</last><first>281</first></pages><author></author><title>Faraday Discuss</title><publicationDate>1993</publicationDate></host><title>Nucleation, growth and inhibition of barium sulphate controlled modification with organic and inorganic additives</title><publicationDate>1993</publicationDate></json:item><json:item><author><json:item><name>A,S Bramley</name></json:item><json:item><name>M,J Hounslow</name></json:item><json:item><name>L,R Rosemary</name></json:item></author><host><volume>183</volume><pages><last>165</last><first>155</first></pages><author></author><title>J. Colloid Interface Sci</title><publicationDate>1996</publicationDate></host><title>Aggregation from solution: A method for extracting rates from experimental data</title><publicationDate>1996</publicationDate></json:item><json:item><host><pages><last>129</last><first>121</first></pages><author><json:item><name>P,D B Bujac</name></json:item><json:item><name>J,W Mullin</name></json:item></author><title>A rapid method for the measurement of crystal growth rates in a fluidized bed crystallizer. Symposium Industrial Crystallization. The Institute of Chemical Engineers</title><publicationDate>1969</publicationDate></host></json:item><json:item><author><json:item><name>W,K Burton</name></json:item><json:item><name>N Cabrera</name></json:item><json:item><name>F,C Frank</name></json:item></author><host><volume>243</volume><pages><last>358</last><first>299</first></pages><author></author><title>Roy. Soc</title><publicationDate>1951</publicationDate></host><title>The growth of crystals and the equilibrium structure of their surfaces. Philos ¹rans</title><publicationDate>1951</publicationDate></json:item><json:item><author><json:item><name>J,R Campbell</name></json:item><json:item><name>G,H Nancollas</name></json:item></author><host><volume>73</volume><pages><last>1740</last><first>1735</first></pages><author></author><title>J. Phys. Chem</title><publicationDate>1969</publicationDate></host><title>The crystallization and dissolution of strontium sulphate in aqueous solution</title><publicationDate>1969</publicationDate></json:item><json:item><author><json:item><name>M,R Chivate</name></json:item><json:item><name>N,S Tavare</name></json:item></author><host><volume>30</volume><pages><last>355</last><first>354</first></pages><author></author><title>Chem. Engng Sci</title><publicationDate>1975</publicationDate></host><title>Growth rate measurements in DTB crystallizer</title><publicationDate>1975</publicationDate></json:item><json:item><author><json:item><name>J,A Dirksen</name></json:item><json:item><name>T,A Ring</name></json:item></author><host><volume>46</volume><pages><last>2427</last><first>2389</first></pages><author></author><title>Chem. Engng Sci</title><publicationDate>1991</publicationDate></host><title>Fundamentals of crystallization kinetic effects on particle size distribution and morphology</title><publicationDate>1991</publicationDate></json:item><json:item><author><json:item><name>R,H Doremus</name></json:item></author><host><volume>62</volume><pages><last>1075</last><first>1068</first></pages><author></author><title>J. Phys. Chem</title><publicationDate>1958</publicationDate></host><title>Precipitation kinetics of ionic salts from solution</title><publicationDate>1958</publicationDate></json:item><json:item><author><json:item><name>D,E Fitchett</name></json:item><json:item><name>J,M Tarbell</name></json:item></author><host><volume>36</volume><pages><last>522</last><first>511</first></pages><author></author><title>A.I.Ch.E. J</title><publicationDate>1990</publicationDate></host><title>Effect of mixing on the precipitation of barium sulphate in an MSMPR reactor</title><publicationDate>1990</publicationDate></json:item><json:item><author><json:item><name>J Garside</name></json:item><json:item><name>R,J Davey</name></json:item></author><host><volume>4</volume><pages><last>424</last><first>393</first></pages><author></author><title>Chem. Engng Commun</title><publicationDate>1980</publicationDate></host><title>Secondary contact nucleation; kinetics , growth and scale-up</title><publicationDate>1980</publicationDate></json:item><json:item><author><json:item><name>J Garside</name></json:item><json:item><name>L,G Gibilaro</name></json:item><json:item><name>N,S Tavare</name></json:item></author><host><volume>37</volume><pages><last>1628</last><first>1625</first></pages><author></author><title>Chem. Engng Sci</title><publicationDate>1982</publicationDate></host><title>Evolution of crystal growth kinetics from desupersaturation curve using initial derivatives</title><publicationDate>1982</publicationDate></json:item><json:item><host><author><json:item><name>J Garside</name></json:item><json:item><name>A Mersmann</name></json:item><json:item><name>J Nyvlt</name></json:item></author><title>Measurement of crystal growth rates</title><publicationDate>1990</publicationDate></host></json:item><json:item><author><json:item><name>J Garside</name></json:item><json:item><name>R,J Van Rosmalen</name></json:item><json:item><name>P Bennema</name></json:item></author><host><volume>29</volume><pages><last>366</last><first>353</first></pages><author></author><title>J. Crystal Growth</title><publicationDate>1975</publicationDate></host><title>Verification of crystal growth rate equations</title><publicationDate>1975</publicationDate></json:item><json:item><author><json:item><name>V,A Garten</name></json:item><json:item><name>R,B Head</name></json:item></author><host><volume>69</volume><pages><last>520</last><first>514</first></pages><author></author><title>J. Chem. Soc. Faraday ¹rans., I</title><publicationDate>1973</publicationDate></host><title>Nucleation in salt solutions</title><publicationDate>1973</publicationDate></json:item><json:item><author><json:item><name>G,H Gilmer</name></json:item><json:item><name>P Bennema</name></json:item></author><host><volume>1314</volume><pages><last>153</last><first>148</first></pages><author></author><title>J. Crystal Growth</title><publicationDate>1972</publicationDate></host><title>Computer simulation of crystal surface structure and growth kinetics</title><publicationDate>1972</publicationDate></json:item><json:item><author><json:item><name>D,J Gunn</name></json:item><json:item><name>M,S Murthy</name></json:item></author><host><volume>27</volume><pages><last>1313</last><first>1293</first></pages><author></author><title>Chem. Engng Sci</title><publicationDate>1972</publicationDate></host><title>Kinetics and mechanisms of precipitations</title><publicationDate>1972</publicationDate></json:item><json:item><author><json:item><name>R,A Johnson</name></json:item><json:item><name>J,D Rourke</name></json:item></author><host><volume>76</volume><pages><last>2126</last><first>2124</first></pages><author></author><title>J. Am. Chem. Soc</title><publicationDate>1954</publicationDate></host><title>The kinetics of precipitation formation: Barium sulphate</title><publicationDate>1954</publicationDate></json:item><json:item><author><json:item><name>A,G Jones</name></json:item><json:item><name>J,W Mullin</name></json:item></author><host><volume>51</volume><pages><last>308</last><first>302</first></pages><author></author><title>¹rans. Instn Chem. Engrs</title><publicationDate>1973</publicationDate></host><title>Crystallization kinetics of potassium sulphate in a draft-tube agitated vessel</title><publicationDate>1973</publicationDate></json:item><json:item><host><pages><last>1237</last><first>1231</first></pages><author><json:item><name>H Klein</name></json:item><json:item><name>B Fontal</name></json:item></author><title>Heterogeneous and homogeneous nucleation of barium sulphate</title><publicationDate>1964</publicationDate></host></json:item><json:item><host><author><json:item><name>Van Leeuwen</name></json:item><json:item><name>M,L J </name></json:item></author><title>Precipitation and mixing. Thesis</title><publicationDate>1998</publicationDate></host></json:item><json:item><author><json:item><name>S,T Liu</name></json:item><json:item><name>G,H Nancolas</name></json:item><json:item><name>E,A Gasiecki</name></json:item></author><host><volume>33</volume><pages><last>20</last><first>11</first></pages><author></author><title>J. Crystal Growth</title><publicationDate>1976</publicationDate></host><title>Scanning electron microscopic and kinetic studies of the crystallization and dissolution of barium sulphate crystals</title><publicationDate>1976</publicationDate></json:item><json:item><author><json:item><name>T Manth</name></json:item><json:item><name>D Mignon</name></json:item><json:item><name>H Offermann</name></json:item></author><host><volume>51</volume><pages><last>2576</last><first>2571</first></pages><author></author><title>Chem. Engng Sci</title><publicationDate>1996</publicationDate></host><title>Experimental investigation of precipitation reactions under homogeneous mixing conditions</title><publicationDate>1996</publicationDate></json:item><json:item><host><author><json:item><name>G Matz</name></json:item><json:item><name>G Kaufhold</name></json:item></author><publicationDate>1978</publicationDate></host></json:item><json:item><author><json:item><name>B Marcant</name></json:item><json:item><name>R David</name></json:item></author><host><volume>37</volume><author></author><title>A.I.Ch.E. J</title><publicationDate>1991</publicationDate></host><title>Experimental evidence for and prediction of micromixing effects in precipitation</title><publicationDate>1991</publicationDate></json:item><json:item><host><pages><last>1074</last><first>1069</first></pages><author><json:item><name>D Mealor</name></json:item><json:item><name>A Townshend</name></json:item></author><title>Homogeneous nucleation of some sparingly soluble salts</title><publicationDate>1966</publicationDate></host></json:item><json:item><author><json:item><name>I,V Melikhov</name></json:item><json:item><name>A,S Kelebeev</name></json:item><json:item><name>S Bacic</name></json:item></author><host><volume>112</volume><pages><last>65</last><first>54</first></pages><author></author><title>J. Colloid Interface Sci</title><publicationDate>1986</publicationDate></host><title>Electron microscopic study of nucleation and growth of highly dispersed solid phase</title><publicationDate>1986</publicationDate></json:item><json:item><host><author><json:item><name>A Mersmann</name></json:item></author><title>Crystallization technology handbook (p. 567)</title><publicationDate>1995</publicationDate></host></json:item><json:item><author><json:item><name>C Misra</name></json:item><json:item><name>E,T White</name></json:item></author><host><volume>110</volume><pages><last>65</last><first>53</first></pages><author></author><title>Chem. Engng Symp. Ser</title><publicationDate>1971</publicationDate></host><title>Kinetics of crystallization of aluminum trihydroxide from seeded caustic aluminate solutions</title><publicationDate>1971</publicationDate></json:item><json:item><author><json:item><name>H Muhr</name></json:item><json:item><name>J,P Leclerc</name></json:item><json:item><name>E Plasari</name></json:item></author><host><volume>36</volume><pages><last>681</last><first>675</first></pages><author></author><title>Ind. Engng. Chem. Res</title><publicationDate>1997</publicationDate></host><title>A rapid method for the determination of growth rate kinetic constants: application to the precipitation of aluminium trihydroxide</title><publicationDate>1997</publicationDate></json:item><json:item><author><json:item><name>J,W Mullin</name></json:item></author><host><author></author><title>Crystallisation. Great Britain</title><publicationDate>1997</publicationDate></host><publicationDate>1997</publicationDate></json:item><json:item><author><json:item><name>J,W Mullin</name></json:item><json:item><name>A Amatavivadhana</name></json:item></author><host><volume>17</volume><pages><last>156</last><first>151</first></pages><author></author><title>J. Appl. Chem</title><publicationDate>1967</publicationDate></host><title>Growth kinetics of ammonium-and potassium-dihydrogen phosphate crystals</title><publicationDate>1967</publicationDate></json:item><json:item><author><json:item><name>J,W Mullin</name></json:item><json:item><name>J,R Williams</name></json:item></author><host><volume>62</volume><pages><last>302</last><first>296</first></pages><author></author><title>Chem. Engng Res. Des</title><publicationDate>1984</publicationDate></host><title>Comparison between indirect and direct contact cooling methods for the crystallization of potassium sulphate</title><publicationDate>1984</publicationDate></json:item><json:item><host><pages><last>740</last><first>735</first></pages><author><json:item><name>G,H Nancollas</name></json:item><json:item><name>N Purdie</name></json:item></author><title>Crystallization of barium sulphate in aqueous solution. ¹rans</title><publicationDate>1963</publicationDate></host></json:item><json:item><author><json:item><name>A,E Nielsen</name></json:item></author><host><volume>12</volume><pages><last>958</last><first>951</first></pages><author></author><title>Acta Chemica Scandinavica</title><publicationDate>1958</publicationDate></host><title>The kinetics of crystal growth in barium sulphate precipitation</title><publicationDate>1958</publicationDate></json:item><json:item><author><json:item><name>A,E Nielsen</name></json:item></author><host><volume>15</volume><pages><last>442</last><first>441</first></pages><author></author><title>Acta Chemica Scandinavica</title><publicationDate>1961</publicationDate></host><title>Homogeneous nucleation in barium sulphate precipitation</title><publicationDate>1961</publicationDate></json:item><json:item><host><author><json:item><name>A,E Nielsen</name></json:item></author><title>Kinetics of precipitation</title><publicationDate>1964</publicationDate></host></json:item><json:item><host><pages><last>38</last><first>17</first></pages><author><json:item><name>A,E Nielsen</name></json:item></author><title>Nucleation and growth of crystals at high supersaturation</title><publicationDate>1969</publicationDate></host></json:item><json:item><author><json:item><name>B,G Palwe</name></json:item><json:item><name>M,R Chivate</name></json:item><json:item><name>N,S Tavare</name></json:item></author><host><volume>39</volume><pages><last>905</last><first>903</first></pages><author></author><title>Chem. Engng Sci</title><publicationDate>1984</publicationDate></host><title>Growth kinetics of potassium sulphate crystals in a DTB agitated crystallizer</title><publicationDate>1984</publicationDate></json:item><json:item><author><json:item><name>B,G Palwe</name></json:item><json:item><name>M,R Chivate</name></json:item><json:item><name>N,S Tavare</name></json:item></author><host><volume>24</volume><pages><last>919</last><first>914</first></pages><author></author><title>Ind. Engng Chem. Process. Des. Dev</title><publicationDate>1985</publicationDate></host><title>Growth kinetics of ammonium nitrate crystals in a draft tube baffled agitated batch crystallizer</title><publicationDate>1985</publicationDate></json:item><json:item><host><author><json:item><name>P Pascal</name></json:item></author><title>Nouveau traite´traite´de chimie mine´mine´rale</title><publicationDate>1958</publicationDate></host></json:item><json:item><author><json:item><name>A Peckter</name></json:item></author><host><author></author><title>J. Chem. Soc</title><publicationDate>1968</publicationDate></host><title>The precipitation of sparingly soluble alkaline-earth metals and lead salts: nucleation and growth orders during induction period</title><publicationDate>1968</publicationDate></json:item><json:item><author><json:item><name>R Pohorecki</name></json:item><json:item><name>J Baldyga</name></json:item></author><host><volume>43</volume><author></author><title>Chem. Engng Sci</title><publicationDate>1988</publicationDate></host><title>The effects of micromixing and the manner of reactor feeding on precipitation in stirred tank reactors</title><publicationDate>1988</publicationDate></json:item><json:item><author><json:item><name>Y Qiu</name></json:item><json:item><name>A,> Rasmuson</name></json:item></author><host><volume>36</volume><pages><last>676</last><first>665</first></pages><author></author><title>A.I.Ch.E. J</title><publicationDate>1990</publicationDate></host><title>Growth and dissolution of succinic acid crystals in a batch stirred crystallizer</title><publicationDate>1990</publicationDate></json:item><json:item><author><json:item><name>Y Qiu</name></json:item><json:item><name>A,> Rasmuson</name></json:item></author><host><volume>46</volume><pages><last>1667</last><first>1659</first></pages><author></author><title>Chem. Engng Sci</title><publicationDate>1991</publicationDate></host><title>Crystal growth rate parameters from isothermal desupersaturation experiments</title><publicationDate>1991</publicationDate></json:item><json:item><author><json:item><name>A,D Randolph</name></json:item><json:item><name>M,A Larson</name></json:item></author><host><volume>8</volume><pages><last>645</last><first>639</first></pages><author></author><title>A.I.Ch.E. J</title><publicationDate>1962</publicationDate></host><title>Transient and steady state size distributions in continuous mixed suspension crystallizers</title><publicationDate>1962</publicationDate></json:item><json:item><author><json:item><name>E,N Rizkalla</name></json:item></author><host><volume>79</volume><pages><last>1867</last><first>1857</first></pages><author></author><title>J. Chem. Soc. Faraday ¹rans. I</title><publicationDate>1983</publicationDate></host><title>Kinetics of the crystallization of barium sulphate</title><publicationDate>1983</publicationDate></json:item><json:item><author><json:item><name>R,W Rousseau</name></json:item><json:item><name>K,K Li</name></json:item><json:item><name>W,L Mc Cabe</name></json:item></author><host><volume>72</volume><pages><last>52</last><first>48</first></pages><author></author><title>A.I.Ch.E. Symp. Ser</title><publicationDate>1976</publicationDate></host><title>The influence of seed crystals size on nucleation rates</title><publicationDate>1976</publicationDate></json:item><json:item><author><json:item><name>O So¨so¨hnel</name></json:item></author><host><volume>16</volume><pages><last>654</last><first>651</first></pages><author></author><title>Cryst. Res. ¹echnol</title><publicationDate>1981</publicationDate></host><publicationDate>1981</publicationDate></json:item><json:item><author><json:item><name>O So¨so¨hnel</name></json:item><json:item><name>J Garside</name></json:item></author><host><author></author><title>Great Britain</title><publicationDate>1992</publicationDate></host><title>Precipitation: Basic principles and industrial applications</title><publicationDate>1992</publicationDate></json:item><json:item><author><json:item><name>O So¨so¨hnel</name></json:item><json:item><name>A Handlirov</name></json:item></author><host><volume>19</volume><pages><last>490</last><first>477</first></pages><author></author><title>Cryst. Res. ¹echnol</title><publicationDate>1984</publicationDate></host><title>Precipitation of strontium sulphate</title><publicationDate>1984</publicationDate></json:item><json:item><author><json:item><name>C Tai</name></json:item><json:item><name>C,H Lin</name></json:item></author><host><volume>82</volume><pages><last>384</last><first>377</first></pages><author></author><title>J. Crystal Growth</title><publicationDate>1987</publicationDate></host><title>Crystal growth kinetics of the two-stepmodel</title><publicationDate>1987</publicationDate></json:item><json:item><author><json:item><name>C,Y Tai</name></json:item><json:item><name>K,H Yu</name></json:item></author><host><volume>96</volume><pages><last>855</last><first>849</first></pages><author></author><title>J. Crystal Growth</title><publicationDate>1989</publicationDate></host><title>Growth kinetics of potassium alum crystal in a well-agitated vessel</title><publicationDate>1989</publicationDate></json:item><json:item><author><json:item><name>N,S Tavare</name></json:item></author><host><volume>31</volume><pages><last>1735</last><first>1733</first></pages><author></author><title>A.I.Ch.E. J</title><publicationDate>1985</publicationDate></host><title>Growth kinetics of ammonium sulphate in a batch cooling crystallizer using initial derivatives</title><publicationDate>1985</publicationDate></json:item><json:item><author><json:item><name>N,S Tavare</name></json:item></author><host><volume>7</volume><pages><last>355</last><first>312</first></pages><author></author><title>Rev. Chem. Engng</title><publicationDate>1991</publicationDate></host><title>Batch crystallizers</title><publicationDate>1991</publicationDate></json:item><json:item><author><json:item><name>N,S Tavare</name></json:item><json:item><name>M,R Chivate</name></json:item></author><host><pages><last>35</last><first>57</first></pages><author></author><title>¹rans. Instn. Chem. Engng</title><publicationDate>1979</publicationDate></host><title>Growth and dissolution kinetics of potassium sulphate crystals in a fluidized bed crystallizer</title><publicationDate>1979</publicationDate></json:item><json:item><author><json:item><name>N,S Tavare</name></json:item><json:item><name>J Garside</name></json:item></author><host><volume>64</volume><pages><last>118</last><first>109</first></pages><author></author><title>Chem. Engng Res. and Des</title><publicationDate>1986</publicationDate></host><title>Simultaneous estimation of crystal nucleation and growth kinetics from batch experiments</title><publicationDate>1986</publicationDate></json:item><json:item><author><json:item><name>N,S Tavare</name></json:item><json:item><name>J Garside</name></json:item></author><host><volume>48</volume><pages><last>488</last><first>475</first></pages><author></author><title>Chem. Engng Res. Design</title><publicationDate>1993</publicationDate></host><title>Silica precipitation in a semi-batch crystallization</title><publicationDate>1993</publicationDate></json:item><json:item><author><json:item><name>D Turnbull</name></json:item><json:item><name> 684—760</name></json:item><json:item><name>M,C Van Der Leeden</name></json:item><json:item><name>D Verdoes</name></json:item><json:item><name>D Kashchiev</name></json:item><json:item><name>G,M Van Rosmalen</name></json:item></author><host><pages><last>46</last><first>31</first></pages><author></author><title>Advances in industrial crystallization</title><publicationDate>1953</publicationDate></host><title>The kinetics of precipitation of barium sulphate from aqueous solution Induction time in seeded and unseeded precipitation</title><publicationDate>1953</publicationDate></json:item><json:item><author></author><host><author></author><title>Paper No. O402.02. XI International Conference on Crystal Growth. Nether- lands</title></host><title>Zone approch for precipitation of barium sulphate</title></json:item><json:item><host><pages><last>1222</last><first>1213</first></pages><author><json:item><name>G,M Van Rosmalen</name></json:item><json:item><name>M,C Van Der Leeden</name></json:item><json:item><name>J Gouman</name></json:item></author><title>The growth kinetics of barium sulphate crystals in suspension: Scale prevention (I) Kristall und ¹echnik</title><publicationDate>1980</publicationDate></host></json:item><json:item><author><json:item><name>J Villermaux</name></json:item></author><host><pages><last>771</last><first>707</first></pages><author></author><title>Encyclopedia of fluid mechanics</title><publicationDate>1986</publicationDate></host><title>Mixing phenomena in stirred reactors</title><publicationDate>1986</publicationDate></json:item><json:item><author><json:item><name>A,G Walton</name></json:item><json:item><name>T Hlabse</name></json:item></author><host><volume>29</volume><pages><last>1750</last><first>1742</first></pages><author></author><title>Anal. Chem. Acta</title><publicationDate>1963</publicationDate></host><title>Growth kinetics of barium sulphate suspensions</title><publicationDate>1963</publicationDate></json:item><json:item><author><json:item><name>J,S Wey</name></json:item><json:item><name>J Estrin</name></json:item></author><host><volume>12</volume><pages><last>246</last><first>236</first></pages><author></author><title>Ind. Engng Chem. Process Design Dev</title><publicationDate>1973</publicationDate></host><title>Modelling the batch crystallization process. The ice—brine system</title><publicationDate>1973</publicationDate></json:item><json:item><author><json:item><name>K Wojcieckowski</name></json:item><json:item><name>W Kibalczyc</name></json:item></author><host><volume>76</volume><pages><last>382</last><first>379</first></pages><author></author><title>J. Crystal Growth</title><publicationDate>1986</publicationDate></host><title>Light scattering study of KH PO and BaSO nucleation process</title><publicationDate>1986</publicationDate></json:item></refBibs><genre><json:string>research-article</json:string></genre><host><volume>54</volume><pii><json:string>S0009-2509(00)X0101-7</json:string></pii><pages><last>1180</last><first>1161</first></pages><issn><json:string>0009-2509</json:string></issn><issue>9</issue><genre><json:string>journal</json:string></genre><language><json:string>unknown</json:string></language><title>Chemical Engineering Science</title><publicationDate>1999</publicationDate></host><categories><wos><json:string>science</json:string><json:string>engineering, chemical</json:string></wos><scienceMetrix><json:string>applied sciences</json:string><json:string>engineering</json:string><json:string>chemical engineering</json:string></scienceMetrix></categories><publicationDate>1999</publicationDate><copyrightDate>1999</copyrightDate><doi><json:string>10.1016/S0009-2509(98)00488-6</json:string></doi><id>8106214775F94462263FFE48A4D668E7E893F0AF</id><score>0.11740971</score><fulltext><json:item><extension>pdf</extension><original>true</original><mimetype>application/pdf</mimetype><uri>https://api.istex.fr/document/8106214775F94462263FFE48A4D668E7E893F0AF/fulltext/pdf</uri></json:item><json:item><extension>zip</extension><original>false</original><mimetype>application/zip</mimetype><uri>https://api.istex.fr/document/8106214775F94462263FFE48A4D668E7E893F0AF/fulltext/zip</uri></json:item><istex:fulltextTEI uri="https://api.istex.fr/document/8106214775F94462263FFE48A4D668E7E893F0AF/fulltext/tei"><teiHeader><fileDesc><titleStmt><title level="a" type="main" xml:lang="en">A simultaneous determination of nucleation and growth rates from batch spontaneous precipitation</title><respStmt><resp>Références bibliographiques récupérées via GROBID</resp><name resp="ISTEX-API">ISTEX-API (INIST-CNRS)</name></respStmt><respStmt><resp>Références bibliographiques récupérées via GROBID</resp><name resp="ISTEX-API">ISTEX-API (INIST-CNRS)</name></respStmt><respStmt><resp>Références bibliographiques récupérées via GROBID</resp><name resp="ISTEX-API">ISTEX-API (INIST-CNRS)</name></respStmt></titleStmt><publicationStmt><authority>ISTEX</authority><publisher>ELSEVIER</publisher><availability><p>©1999 Elsevier Science Ltd</p></availability><date>1999</date></publicationStmt><sourceDesc><biblStruct type="inbook"><analytic><title level="a" type="main" xml:lang="en">A simultaneous determination of nucleation and growth rates from batch spontaneous precipitation</title><author xml:id="author-1"><persName><forename type="first">M.</forename><surname>Aoun</surname></persName><affiliation>Ecole des Mines d’Albi-Carmaux, Centre Poudres et Procédés, Campus Jarlard, Route de Teillet, 81 013 Albi CT Cedex 09, France</affiliation></author><author xml:id="author-2"><persName><forename type="first">E.</forename><surname>Plasari</surname></persName><affiliation>Laboratoire des Sciences du Génie Chimique, CNRS-E.N.S.I.C./I.N.P.L., 1, rue Grandville, B.P. 451 - 54 001, Nancy Cedex, France</affiliation></author><author xml:id="author-3"><persName><forename type="first">R.</forename><surname>David</surname></persName><note type="correspondence"><p>Corresponding author</p></note><affiliation>Ecole des Mines d’Albi-Carmaux, Centre Poudres et Procédés, Campus Jarlard, Route de Teillet, 81 013 Albi CT Cedex 09, France</affiliation></author><author xml:id="author-4"><persName><forename type="first">J.</forename><surname>Villermaux</surname></persName><affiliation>Laboratoire des Sciences du Génie Chimique, CNRS-E.N.S.I.C./I.N.P.L., 1, rue Grandville, B.P. 451 - 54 001, Nancy Cedex, France</affiliation></author></analytic><monogr><title level="j">Chemical Engineering Science</title><title level="j" type="abbrev">CES</title><idno type="pISSN">0009-2509</idno><idno type="PII">S0009-2509(00)X0101-7</idno><imprint><publisher>ELSEVIER</publisher><date type="published" when="1999"></date><biblScope unit="volume">54</biblScope><biblScope unit="issue">9</biblScope><biblScope unit="page" from="1161">1161</biblScope><biblScope unit="page" to="1180">1180</biblScope></imprint></monogr><idno type="istex">8106214775F94462263FFE48A4D668E7E893F0AF</idno><idno type="DOI">10.1016/S0009-2509(98)00488-6</idno><idno type="PII">S0009-2509(98)00488-6</idno><idno type="ArticleID">2564</idno></biblStruct></sourceDesc></fileDesc><profileDesc><creation><date>1999</date></creation><langUsage><language ident="en">en</language></langUsage><abstract xml:lang="en"><p>A review of the literature shows that many methods for determining the nucleation and growth rates from batch precipitation experiments are inaccurate. Therefore, a new method has been developed to derive these two rates based on the simultaneous measurement of the supersaturation and the crystal size distribution during a batch spontaneous precipitation. All experimental data are used without any previous numerical treatment and the differential kinetic equations are replaced by integral ones to avoid numeric derivation. The kinetic parameters of the two postulated laws of nucleation and crystal growth rates in kinetic equations are separately determined by non-linear optimization. This method was applied to barium sulphate precipitation. Experiments were performed in a 20l stirred reactor. Effects of reagent adding order and stirring speed were noticed. The influence of initial supersaturation was determined. The nucleation rate was found to obey an exponential law with a primary heterogeneous dominating process. The linear rate of crystal growth follows a 2.1 power law and the process seems to be limited by a surface integration step. The kinetic results were compared to those previously reported.</p></abstract><textClass xml:lang="en"><keywords scheme="keyword"><list><head>Keywords</head><item><term>Crystallization</term></item><item><term>Precipitation</term></item><item><term>Nucleation rate</term></item><item><term>Crystal growth rate</term></item><item><term>Kinetic methods</term></item><item><term>Barium sulphate</term></item></list></keywords></textClass></profileDesc><revisionDesc><change when="1999">Published</change><change xml:id="refBibs-istex" who="#ISTEX-API" when="2016-11-20">References added</change><change xml:id="refBibs-istex" who="#ISTEX-API" when="2017-01-13">References added</change><change xml:id="refBibs-istex" who="#ISTEX-API" when="2017-01-16">References added</change></revisionDesc></teiHeader></istex:fulltextTEI><json:item><extension>txt</extension><original>false</original><mimetype>text/plain</mimetype><uri>https://api.istex.fr/document/8106214775F94462263FFE48A4D668E7E893F0AF/fulltext/txt</uri></json:item></fulltext><metadata><istex:metadataXml wicri:clean="Elsevier converted-article found"><istex:xmlDeclaration>version="1.0" encoding="UTF-8"</istex:xmlDeclaration><istex:docType PUBLIC="-//ES//DTD journal article DTD version 4.5.2//EN//XML" URI="art452.dtd" name="istex:docType"></istex:docType><istex:document><converted-article version="4.5.2" docsubtype="fla" xml:lang="en"><item-info><jid>CES</jid><aid>2564</aid><ce:pii>S0009-2509(98)00488-6</ce:pii><ce:doi>10.1016/S0009-2509(98)00488-6</ce:doi><ce:copyright type="full-transfer" year="1999">Elsevier Science Ltd</ce:copyright></item-info><head><ce:title>A simultaneous determination of nucleation and growth rates from batch spontaneous precipitation</ce:title><ce:author-group><ce:author><ce:given-name>M.</ce:given-name><ce:surname>Aoun</ce:surname><ce:cross-ref refid="ORFA"><ce:sup loc="post">a</ce:sup></ce:cross-ref></ce:author><ce:author><ce:given-name>E.</ce:given-name><ce:surname>Plasari</ce:surname><ce:cross-ref refid="ORFB"><ce:sup loc="post">b</ce:sup></ce:cross-ref></ce:author><ce:author><ce:given-name>R.</ce:given-name><ce:surname>David</ce:surname><ce:cross-ref refid="ORFA"><ce:sup loc="post">a</ce:sup></ce:cross-ref><ce:cross-ref refid="CORR1">*</ce:cross-ref></ce:author><ce:author><ce:given-name>J.</ce:given-name><ce:surname>Villermaux</ce:surname><ce:cross-ref refid="ORFB"><ce:sup loc="post">b</ce:sup></ce:cross-ref></ce:author><ce:affiliation id="ORFA"><ce:label>a</ce:label><ce:textfn>Ecole des Mines d’Albi-Carmaux, Centre Poudres et Procédés, Campus Jarlard, Route de Teillet, 81 013 Albi CT Cedex 09, France</ce:textfn></ce:affiliation><ce:affiliation id="ORFB"><ce:label>b</ce:label><ce:textfn>Laboratoire des Sciences du Génie Chimique, CNRS-E.N.S.I.C./I.N.P.L., 1, rue Grandville, B.P. 451 - 54 001, Nancy Cedex, France</ce:textfn></ce:affiliation><ce:correspondence id="CORR1"><ce:label>*</ce:label><ce:text>Corresponding author</ce:text></ce:correspondence></ce:author-group><ce:date-received day="26" month="3" year="1998"></ce:date-received><ce:date-accepted day="19" month="11" year="1998"></ce:date-accepted><ce:abstract class="author"><ce:section-title>Abstract</ce:section-title><ce:abstract-sec><ce:simple-para view="all" id="simple-para.0010">A review of the literature shows that many methods for determining the nucleation and growth rates from batch precipitation experiments are inaccurate. Therefore, a new method has been developed to derive these two rates based on the simultaneous measurement of the supersaturation and the crystal size distribution during a batch spontaneous precipitation. All experimental data are used without any previous numerical treatment and the differential kinetic equations are replaced by integral ones to avoid numeric derivation. The kinetic parameters of the two postulated laws of nucleation and crystal growth rates in kinetic equations are separately determined by non-linear optimization. This method was applied to barium sulphate precipitation. Experiments were performed in a 20<ce:hsp sp="0.25"></ce:hsp>l stirred reactor. Effects of reagent adding order and stirring speed were noticed. The influence of initial supersaturation was determined. The nucleation rate was found to obey an exponential law with a primary heterogeneous dominating process. The linear rate of crystal growth follows a 2.1 power law and the process seems to be limited by a surface integration step. The kinetic results were compared to those previously reported.</ce:simple-para></ce:abstract-sec></ce:abstract><ce:keywords class="keyword"><ce:section-title>Keywords</ce:section-title><ce:keyword><ce:text>Crystallization</ce:text></ce:keyword><ce:keyword><ce:text>Precipitation</ce:text></ce:keyword><ce:keyword><ce:text>Nucleation rate</ce:text></ce:keyword><ce:keyword><ce:text>Crystal growth rate</ce:text></ce:keyword><ce:keyword><ce:text>Kinetic methods</ce:text></ce:keyword><ce:keyword><ce:text>Barium sulphate</ce:text></ce:keyword></ce:keywords></head></converted-article></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>A simultaneous determination of nucleation and growth rates from batch spontaneous precipitation</title></titleInfo><titleInfo type="alternative" lang="en" contentType="CDATA"><title>A simultaneous determination of nucleation and growth rates from batch spontaneous precipitation</title></titleInfo><name type="personal"><namePart type="given">M.</namePart><namePart type="family">Aoun</namePart><affiliation>Ecole des Mines d’Albi-Carmaux, Centre Poudres et Procédés, Campus Jarlard, Route de Teillet, 81 013 Albi CT Cedex 09, France</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">E.</namePart><namePart type="family">Plasari</namePart><affiliation>Laboratoire des Sciences du Génie Chimique, CNRS-E.N.S.I.C./I.N.P.L., 1, rue Grandville, B.P. 451 - 54 001, Nancy Cedex, France</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">R.</namePart><namePart type="family">David</namePart><affiliation>Ecole des Mines d’Albi-Carmaux, Centre Poudres et Procédés, Campus Jarlard, Route de Teillet, 81 013 Albi CT Cedex 09, France</affiliation><description>Corresponding author</description><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">J.</namePart><namePart type="family">Villermaux</namePart><affiliation>Laboratoire des Sciences du Génie Chimique, CNRS-E.N.S.I.C./I.N.P.L., 1, rue Grandville, B.P. 451 - 54 001, Nancy Cedex, France</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre type="research-article" displayLabel="Full-length article"></genre><originInfo><publisher>ELSEVIER</publisher><dateIssued encoding="w3cdtf">1999</dateIssued><copyrightDate encoding="w3cdtf">1999</copyrightDate></originInfo><language><languageTerm type="code" authority="iso639-2b">eng</languageTerm><languageTerm type="code" authority="rfc3066">en</languageTerm></language><physicalDescription><internetMediaType>text/html</internetMediaType></physicalDescription><abstract lang="en">A review of the literature shows that many methods for determining the nucleation and growth rates from batch precipitation experiments are inaccurate. Therefore, a new method has been developed to derive these two rates based on the simultaneous measurement of the supersaturation and the crystal size distribution during a batch spontaneous precipitation. All experimental data are used without any previous numerical treatment and the differential kinetic equations are replaced by integral ones to avoid numeric derivation. The kinetic parameters of the two postulated laws of nucleation and crystal growth rates in kinetic equations are separately determined by non-linear optimization. This method was applied to barium sulphate precipitation. Experiments were performed in a 20l stirred reactor. Effects of reagent adding order and stirring speed were noticed. The influence of initial supersaturation was determined. The nucleation rate was found to obey an exponential law with a primary heterogeneous dominating process. The linear rate of crystal growth follows a 2.1 power law and the process seems to be limited by a surface integration step. The kinetic results were compared to those previously reported.</abstract><subject lang="en"><genre>Keywords</genre><topic>Crystallization</topic><topic>Precipitation</topic><topic>Nucleation rate</topic><topic>Crystal growth rate</topic><topic>Kinetic methods</topic><topic>Barium sulphate</topic></subject><relatedItem type="host"><titleInfo><title>Chemical Engineering Science</title></titleInfo><titleInfo type="abbreviated"><title>CES</title></titleInfo><genre type="journal">journal</genre><originInfo><dateIssued encoding="w3cdtf">199905</dateIssued></originInfo><identifier type="ISSN">0009-2509</identifier><identifier type="PII">S0009-2509(00)X0101-7</identifier><part><date>199905</date><detail type="volume"><number>54</number><caption>vol.</caption></detail><detail type="issue"><number>9</number><caption>no.</caption></detail><extent unit="issue pages"><start>1161</start><end>1296</end></extent><extent unit="pages"><start>1161</start><end>1180</end></extent></part></relatedItem><identifier type="istex">8106214775F94462263FFE48A4D668E7E893F0AF</identifier><identifier type="DOI">10.1016/S0009-2509(98)00488-6</identifier><identifier type="PII">S0009-2509(98)00488-6</identifier><identifier type="ArticleID">2564</identifier><accessCondition type="use and reproduction" contentType="copyright">©1999 Elsevier Science Ltd</accessCondition><recordInfo><recordContentSource>ELSEVIER</recordContentSource><recordOrigin>Elsevier Science Ltd, ©1999</recordOrigin></recordInfo></mods></metadata><serie></serie></istex></record>Pour manipuler ce document sous Unix (Dilib)
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