Pub Date : 2001-06-01DOI: 10.1016/S1387-1609(01)01256-7
Okiko Miyata, Takeaki Naito
This review summarizes a new efficient carbon–carbon bond-forming reaction based on sulfanyl radical addition–cyclization, which proceeds by the formation of a carbon-centered radical species generated by the addition of a sulfanyl radical to a multiple bond and then intramolecular addition of the resulting carbon-centered radical to a multiple bond. The synthetic potentiality was demonstrated by the syntheses of anantine, oxo-parabenzlactone, cispentacin, vitamin D, and α-kainic acid.
{"title":"Sulfanyl radical addition–cyclization and its synthetic application","authors":"Okiko Miyata, Takeaki Naito","doi":"10.1016/S1387-1609(01)01256-7","DOIUrl":"10.1016/S1387-1609(01)01256-7","url":null,"abstract":"<div><p>This review summarizes a new efficient carbon–carbon bond-forming reaction based on sulfanyl radical addition–cyclization, which proceeds by the formation of a carbon-centered radical species generated by the addition of a sulfanyl radical to a multiple bond and then intramolecular addition of the resulting carbon-centered radical to a multiple bond. The synthetic potentiality was demonstrated by the syntheses of anantine, oxo-parabenzlactone, cispentacin, vitamin D, and α-kainic acid.</p></div>","PeriodicalId":100305,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIC - Chemistry","volume":"4 6","pages":"Pages 401-421"},"PeriodicalIF":0.0,"publicationDate":"2001-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1387-1609(01)01256-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84687648","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2001-06-01DOI: 10.1016/S1387-1609(01)01246-4
Janine Cossy, Véronique Bellosta, Barbara Gille
A photoreductive cyclization has been used to synthetize the bicyclic core of (±)-bisabolangelone.
采用光还原环化法合成了(±)-双abolangelone的双环核。
{"title":"Formal total synthesis of (±)-bisabolangelone by using a radical cyclization","authors":"Janine Cossy, Véronique Bellosta, Barbara Gille","doi":"10.1016/S1387-1609(01)01246-4","DOIUrl":"10.1016/S1387-1609(01)01246-4","url":null,"abstract":"<div><p>A photoreductive cyclization has been used to synthetize the bicyclic core of (±)-bisabolangelone.</p></div>","PeriodicalId":100305,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIC - Chemistry","volume":"4 6","pages":"Pages 427-429"},"PeriodicalIF":0.0,"publicationDate":"2001-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1387-1609(01)01246-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88026817","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
On treatment with SmI2 in THF, 1-ferrocenyl-3-phenyl-2-propen-1-one and its related ferrocene-substituted enones underwent cyclodimerizations to give aldols (2a–g) with 3,4-trans configuration. Further reduction by using increased amounts of SmI2 produced the corresponding diols. The stereoselectivity in this study was comparable with that in the SmI2-promoted cyclodimerization of chalcones, but in contrast to that in the SmI2-promoted cyclization-aldol reaction of 1,1’-dicinnamoylferrocenes. The thienyl- and furyl-substituted enones 5a and 5b could be visualized as an extended system of conjugated ketones, so that the SmI2-mediated coupling reactions occurred preferably by linkages of β-carbons with thiophene or furan rings, giving compounds 8a,b and 9a,b.
{"title":"Samarium diiodide-promoted sequential coupling-aldol-reduction reactions of ferrocene-substituted enones","authors":"Shean-Jeng Jong, Chao-Tsen Chen, Jim-Min Fang, Yi-Hong Liu, Gene-Hsiang Lee, Yu Wang","doi":"10.1016/S1387-1609(01)01257-9","DOIUrl":"10.1016/S1387-1609(01)01257-9","url":null,"abstract":"<div><p>On treatment with SmI<sub>2</sub> in THF, 1-ferrocenyl-3-phenyl-2-propen-1-one and its related ferrocene-substituted enones underwent cyclodimerizations to give aldols (<strong>2a</strong>–<strong>g</strong>) with 3,4-<em>trans</em> configuration. Further reduction by using increased amounts of SmI<sub>2</sub> produced the corresponding diols. The stereoselectivity in this study was comparable with that in the SmI<sub>2</sub>-promoted cyclodimerization of chalcones, but in contrast to that in the SmI<sub>2</sub>-promoted cyclization-aldol reaction of 1,1’-dicinnamoylferrocenes. The thienyl- and furyl-substituted enones <strong>5a</strong> and <strong>5b</strong> could be visualized as an extended system of conjugated ketones, so that the SmI<sub>2</sub>-mediated coupling reactions occurred preferably by linkages of β-carbons with thiophene or furan rings, giving compounds <strong>8a</strong>,<strong>b</strong> and <strong>9a</strong>,<strong>b</strong>.<figure><img></figure></p></div>","PeriodicalId":100305,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIC - Chemistry","volume":"4 6","pages":"Pages 487-496"},"PeriodicalIF":0.0,"publicationDate":"2001-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1387-1609(01)01257-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83350662","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2001-06-01DOI: 10.1016/S1387-1609(01)01262-2
Chin-Kang Sha, Wen-Yueh Ho, A.K. Mohanakrishnan, Chiu-Ling Lin, San-Yan Chu
1,5-Hydrogen atom transfer from α, β and γ carbons of cycloalkanones to an alkenyl or aryl radical on a side chain has been studied systematically. Deuterium labeling experiments and theoretical calculations were used to delineate this process. The results indicate that 1,5-hydrogen atom transfer is controlled mostly by conformational factors.
{"title":"1,5-Hydrogen atom transfer from α, β and γ carbons to an alkenyl or aryl radical in cycloalkanones","authors":"Chin-Kang Sha, Wen-Yueh Ho, A.K. Mohanakrishnan, Chiu-Ling Lin, San-Yan Chu","doi":"10.1016/S1387-1609(01)01262-2","DOIUrl":"10.1016/S1387-1609(01)01262-2","url":null,"abstract":"<div><p>1,5-Hydrogen atom transfer from α, β and γ carbons of cycloalkanones to an alkenyl or aryl radical on a side chain has been studied systematically. Deuterium labeling experiments and theoretical calculations were used to delineate this process. The results indicate that 1,5-hydrogen atom transfer is controlled mostly by conformational factors.</p></div>","PeriodicalId":100305,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIC - Chemistry","volume":"4 6","pages":"Pages 439-442"},"PeriodicalIF":0.0,"publicationDate":"2001-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1387-1609(01)01262-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84786794","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2001-05-01DOI: 10.1016/S1387-1609(01)01250-6
Lizong Dai , Jean-Yves Gal , Huihuang Wu
In the domains of chemical catalysis and analytical chemistry, the modification of metal electrodes by the deposition of multilayers was developed about twenty years ago. The purpose of our work was to compare the behavior of an electrode prepared with a substituted polyaniline with that of electrodes regularly used in analytical chemistry: platinum, platinized platinum and glassy carbon. We initially present results obtained with poly-2,5-dimethoxyaniline (PDMAn) on two classic systems: the couple Fe(CN)63–/Fe(CN)64– and the couple O2/OH–. The first example is often studied during training in electrochemistry because of the good results generally obtained. Levich’s equation is effectively well verified. On the other hand, reduction of oxygen and oxidation of OH– ions are always limited by the rate of the electron transfer reactions. It seems to us that the study of the behavior of these two systems with platinum electrodes covered with PDMAn, platinized or not, could be interesting. The oxidation of isopropanol in a weakly acid medium was also investigated. In the field of analytical chemistry, a more detailed study is mandatory before deciding on the possibility of using electrodes modified with films of substituted polyaniline. An electrode, which would not be platinized, does not seem useful; the use of electrodes prepared with platinized polymers deposited on substrates less expensive than platinum, (glassy carbon for example), may be more interesting. It seems that H2O2 formation over a wide domain of potential would be the best result for oxidations and new experiments will be investigated.
{"title":"Experimental study of platinized poly-2,5-dimethoxyaniline electrodes","authors":"Lizong Dai , Jean-Yves Gal , Huihuang Wu","doi":"10.1016/S1387-1609(01)01250-6","DOIUrl":"10.1016/S1387-1609(01)01250-6","url":null,"abstract":"<div><p>In the domains of chemical catalysis and analytical chemistry, the modification of metal electrodes by the deposition of multilayers was developed about twenty years ago. The purpose of our work was to compare the behavior of an electrode prepared with a substituted polyaniline with that of electrodes regularly used in analytical chemistry: platinum, platinized platinum and glassy carbon. We initially present results obtained with poly-2,5-dimethoxyaniline (PDMAn) on two classic systems: the couple Fe(CN)<sub>6</sub><sup>3–</sup>/Fe(CN)<sub>6</sub><sup>4–</sup> and the couple O<sub>2</sub>/OH<sup>–</sup>. The first example is often studied during training in electrochemistry because of the good results generally obtained. Levich’s equation is effectively well verified. On the other hand, reduction of oxygen and oxidation of OH<sup>–</sup> ions are always limited by the rate of the electron transfer reactions. It seems to us that the study of the behavior of these two systems with platinum electrodes covered with PDMAn, platinized or not, could be interesting. The oxidation of isopropanol in a weakly acid medium was also investigated. In the field of analytical chemistry, a more detailed study is mandatory before deciding on the possibility of using electrodes modified with films of substituted polyaniline. An electrode, which would not be platinized, does not seem useful; the use of electrodes prepared with platinized polymers deposited on substrates less expensive than platinum, (glassy carbon for example), may be more interesting. It seems that H<sub>2</sub>O<sub>2</sub> formation over a wide domain of potential would be the best result for oxidations and new experiments will be investigated.</p></div>","PeriodicalId":100305,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIC - Chemistry","volume":"4 5","pages":"Pages 335-343"},"PeriodicalIF":0.0,"publicationDate":"2001-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1387-1609(01)01250-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79863258","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2001-05-01DOI: 10.1016/S1387-1609(01)01249-X
Catherine Marchal-Roch , Jean-Marc M. Millet
Phosphomolybdic compounds were first described as active catalysts in heterogeneous catalytic reactions some twenty-five years ago. Research on these catalysts underwent a huge acceleration when an industrial application in the oxidation of methacrolein to methacrylic acid was reported. They were later developed with success as catalysts for the oxidative dehydrogenation of isobutyric acid into methacrylic acid for which they surpass in many aspects the FePO catalysts. More recently phosphomolybdic catalysts were shown to be very efficient for the oxidation of light alkanes. The structure of these ionic solids with discrete cations and anions can be defined at the molecular level of the heteropolyanion 〚PMo12O40〛3–, this feature makes them attractive for fundamental studies on catalytic reaction mechanism or catalytic site visualization. In the latter case they represent a unique model of a mixed oxide cluster that can be advantageously used to design new catalysts. Starting from the acid H3〚PMo12O40〛 two substitution types leading to important modifications of the catalytic properties are possible: (i) the substitution of protons with counter-cations, (ii) the substitution of molybdenum in the anions. This review addresses the effect of transition metals substituting protons on both catalytic and physicochemical properties. It will focus on the influence of iron, copper and vanadyl directly introduced as counter-cations and that of vanadium initially substituting molybdenum in the anion but which moves out due to a partial rebuilding of the anions under catalytic reaction conditions. These transition metals have important and complex effects and have been widely studied. In both cases alkaline metals substituting protons have been also studied.
{"title":"Phosphomolybdic heteropolycompounds as oxidation catalysts. Effect of transition metals as counter-ions","authors":"Catherine Marchal-Roch , Jean-Marc M. Millet","doi":"10.1016/S1387-1609(01)01249-X","DOIUrl":"10.1016/S1387-1609(01)01249-X","url":null,"abstract":"<div><p>Phosphomolybdic compounds were first described as active catalysts in heterogeneous catalytic reactions some twenty-five years ago. Research on these catalysts underwent a huge acceleration when an industrial application in the oxidation of methacrolein to methacrylic acid was reported. They were later developed with success as catalysts for the oxidative dehydrogenation of isobutyric acid into methacrylic acid for which they surpass in many aspects the FePO catalysts. More recently phosphomolybdic catalysts were shown to be very efficient for the oxidation of light alkanes. The structure of these ionic solids with discrete cations and anions can be defined at the molecular level of the heteropolyanion 〚PMo<sub>12</sub>O<sub>40</sub>〛<sup>3–</sup>, this feature makes them attractive for fundamental studies on catalytic reaction mechanism or catalytic site visualization. In the latter case they represent a unique model of a mixed oxide cluster that can be advantageously used to design new catalysts. Starting from the acid H<sub>3</sub>〚PMo<sub>12</sub>O<sub>40</sub>〛 two substitution types leading to important modifications of the catalytic properties are possible: (<em>i</em>) the substitution of protons with counter-cations, (<em>ii</em>) the substitution of molybdenum in the anions. This review addresses the effect of transition metals substituting protons on both catalytic and physicochemical properties. It will focus on the influence of iron, copper and vanadyl directly introduced as counter-cations and that of vanadium initially substituting molybdenum in the anion but which moves out due to a partial rebuilding of the anions under catalytic reaction conditions. These transition metals have important and complex effects and have been widely studied. In both cases alkaline metals substituting protons have been also studied.</p></div>","PeriodicalId":100305,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIC - Chemistry","volume":"4 5","pages":"Pages 321-329"},"PeriodicalIF":0.0,"publicationDate":"2001-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1387-1609(01)01249-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78391213","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This note presents a characterization method of the ‘adhesion’ of a coating by acoustic emission technique. In situ acoustic emission measurements which were investigated in terms of amplitude, absolute energy, position of the event, etc. were performed on WC–Co coated specimens prepared by HVOF (high velocity oxy fuel) during four-point bending tests. The microscopic observations of the specimens show two types of cracks: transversal cracks (regularly spaced on the coating surface) and interfacial cracks. Acoustic emission results show two different types of acoustic events in terms of absolute energy and amplitude, which are representative of two cracking mechanisms.
{"title":"Caractérisation par émission acoustique de l’adhérence et de l’endommagement d’un revêtement : cas d’un revêtement WC–Co sur acier","authors":"Davy Dalmas , Salim Benmedakhene , Caroline Richard , Abdelouahed Laksimi , Gérard Béranger , Thierry Grégoire","doi":"10.1016/S1387-1609(01)01240-3","DOIUrl":"10.1016/S1387-1609(01)01240-3","url":null,"abstract":"<div><p>This note presents a characterization method of the ‘adhesion’ of a coating by acoustic emission technique. In situ acoustic emission measurements which were investigated in terms of amplitude, absolute energy, position of the event, etc. were performed on WC–Co coated specimens prepared by HVOF (high velocity oxy fuel) during four-point bending tests. The microscopic observations of the specimens show two types of cracks: transversal cracks (regularly spaced on the coating surface) and interfacial cracks. Acoustic emission results show two different types of acoustic events in terms of absolute energy and amplitude, which are representative of two cracking mechanisms.</p></div>","PeriodicalId":100305,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIC - Chemistry","volume":"4 5","pages":"Pages 345-350"},"PeriodicalIF":0.0,"publicationDate":"2001-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1387-1609(01)01240-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74839110","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2001-05-01DOI: 10.1016/S1387-1609(01)01242-7
Samir F Matar , Antoine Villesuzanne , Guy Campet , Josik Portier , Youssef Saikali
The electronic structures of the sesquioxide In2O3 and Sn-doped In2O3 are examined both self-consistently within the ab initio local density functional theory and using the non self-consistent extended Hückel method. A direct band gap and a wide dispersion of the bottom of the conduction band are obtained in the non-doped case. In the doped case, a narrow, half-filled band assigned to Sn is found at the bottom of the conduction band, in agreement with the metallic and transparent characteristics observed experimentally.
{"title":"Étude des structures électroniques de In2O3 pur et dopé avec l’étain","authors":"Samir F Matar , Antoine Villesuzanne , Guy Campet , Josik Portier , Youssef Saikali","doi":"10.1016/S1387-1609(01)01242-7","DOIUrl":"10.1016/S1387-1609(01)01242-7","url":null,"abstract":"<div><p>The electronic structures of the sesquioxide In<sub>2</sub>O<sub>3</sub> and Sn-doped In<sub>2</sub>O<sub>3</sub> are examined both self-consistently within the <em>ab initio</em> local density functional theory and using the non self-consistent extended Hückel method. A direct band gap and a wide dispersion of the bottom of the conduction band are obtained in the non-doped case. In the doped case, a narrow, half-filled band assigned to Sn is found at the bottom of the conduction band, in agreement with the metallic and transparent characteristics observed experimentally.</p></div>","PeriodicalId":100305,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIC - Chemistry","volume":"4 5","pages":"Pages 367-373"},"PeriodicalIF":0.0,"publicationDate":"2001-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1387-1609(01)01242-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89462555","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2001-05-01DOI: 10.1016/S1387-1609(01)01243-9
Yves Jacquot , Bernard Refouvelet , Olivier Blacque , Marek M Kubicki , Alain Xicluna
Lactols are compounds of increasing interest in the synthesis of active pharmaceutical derivatives. Nevertheless, the product obtained by the reduction of the carbonyl group of coumarin has been described only twice, and without definition of its precise chemical structure. Since these studies, doubts have been raised about the existence of a monomeric or dimeric form. Our study has led us to conclude definitely that the single dimeric form exists and to precisely define the spectral properties of the two diastereoisomers.
{"title":"Structure elucidation of benzopyran-2-ol in solution and in solid state following the reduction of coumarin by DIBAL-H","authors":"Yves Jacquot , Bernard Refouvelet , Olivier Blacque , Marek M Kubicki , Alain Xicluna","doi":"10.1016/S1387-1609(01)01243-9","DOIUrl":"10.1016/S1387-1609(01)01243-9","url":null,"abstract":"<div><p>Lactols are compounds of increasing interest in the synthesis of active pharmaceutical derivatives. Nevertheless, the product obtained by the reduction of the carbonyl group of coumarin has been described only twice, and without definition of its precise chemical structure. Since these studies, doubts have been raised about the existence of a monomeric or dimeric form. Our study has led us to conclude definitely that the single dimeric form exists and to precisely define the spectral properties of the two diastereoisomers.</p></div>","PeriodicalId":100305,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIC - Chemistry","volume":"4 5","pages":"Pages 375-380"},"PeriodicalIF":0.0,"publicationDate":"2001-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1387-1609(01)01243-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77925300","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2001-05-01DOI: 10.1016/S1387-1609(01)01241-5
Michel Petitjean
The continuous measure of quantitative chirality by the least squares method is extended to weighed sets. It is shown that a pairwise correspondence between the atoms of the enantiomers is obtained when all weights are equal.
{"title":"Chiralité quantitative : le modèle des moindres carrés pondérés","authors":"Michel Petitjean","doi":"10.1016/S1387-1609(01)01241-5","DOIUrl":"10.1016/S1387-1609(01)01241-5","url":null,"abstract":"<div><p>The continuous measure of quantitative chirality by the least squares method is extended to weighed sets. It is shown that a pairwise correspondence between the atoms of the enantiomers is obtained when all weights are equal.</p></div>","PeriodicalId":100305,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIC - Chemistry","volume":"4 5","pages":"Pages 331-333"},"PeriodicalIF":0.0,"publicationDate":"2001-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1387-1609(01)01241-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90622969","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}