DEVOIR SURVEILLE - SCIENCES PHYSIQUES
Donner la formule brute du sorbitol. La formule brute de sorbitol est C6H14O6. 2. Dessiner les formules développées et semi-développées de cette molécule.
Novel biobased epoxy networks derived from renewable resources
29-Jan-2013 Réseaux époxy; bisphenol A; isosorbide; sorbitol; cardanol; relation structure propriétés; réactivité; propriétés des réseaux; absorption d' ...
Methyldibenzylidene sorbitol Certificat dAnalyse
11-Oct-2012 Nom : Methyldibenzylidene sorbitol. Formule brute : C22H26O6. Masse molaire : 386.44 gmol. -1. Aspect : solide. Couleur : n.d. Point de ...
Chemistry of METHOCEL™
formula ingredients. troublesome) when one employs du Nouy tensiometry to ... as glycerin sorbitol
LES GLUCIDES
Les oses qui possèdent une fonction aldéhyde sont appelés des aldoses et ceux On appelle isomères des composés qui ont la même formule brute mais des ...
Look back at the U. S. Department of Energys Aquatic Species
Gasification is a somewhat brute force technology in the 3 Bruwer J.; van D. Boshoff
Exercice I
21-Jun-2018 Écrire la formule brute du composé (E). 1.2.2. Identifier l'espèce chimique Y et la nommer. 1.3. Le déroulement de la synthèse peut être ...
DEVOIR SURVEILLE - SCIENCES PHYSIQUES
Donner la formule brute de l'acide lactique. La formule brute du sorbitol est C3H6O3. 2. Dessiner les formules développées et semi-développées de cette
Sujet du bac S Physique-Chimie Obligatoire 2018 - Métropole
21-Jun-2018 Écrire la formule brute du composé (E). 1.2.2. Identifier l'espèce chimique Y et la nommer. 1.3. Le déroulement de la synthèse peut être ...
Exercices sur le chapitre 8
1/ Compter le nombre d'atomes de carbone d'oxygène et d'hydrogène
Sorbitol - Wikipédia
Sa formule brute est C6H14O6 et il est l'isomère de trois autres polyols : dulcitol mannitol et iditol Son pKa est de 1357 Propriétés physiques
Le sorbitol : un édulcorant qui compose de nombreux médicaments
Le sorbitol est un sucre alcool ou édulcorant sa formule brute est C6H14O6 et sa masse molaire 1821718 g/mol Il s'agit d'un polyol naturel qui a un
[PDF] DIRECTIVES - EUR-Lex
18 jui 2008 · Formule chimique C6H14O6 Masse moléculaire relative 18217 Composition Le sorbitol ne contient pas moins de 97 de glycitols et pas
[PDF] LES GLUCIDES
oses qui possèdent une fonction aldéhyde sont appelés des aldoses et ceux qui possèdent une fonction cétone sont appelés des cétoses Formule brute : CnH2nOn
[PDF] SORBITOL
Le sorbitol est obtenu par hydrogénation de D-glucose Il se compose Formule chimique : C6H14O6 Poids moléculaire : 1822 g/mol DESCRIPTION
[PDF] 1 biochimie structurale 13- les glucides
Formule brute : C6H12O6 Glucides Non hydrolysables = oses = molécules de base Hydrolysables = osides Condensation d'un ou de plusieurs oses = holosides
[PDF] Monosaccharides disaccharides et dérivés doses simples
formule brute est CnH2nOn II On distingue deux familles de monosaccharides : les cétoses porteurs d'une fonction cétone en C2 et les aldoses porteurs
[PDF] I Les oses
Ainsi le fructose et les deux aldoses correspondants le glucose et le mannose donnent deux alcools épimères en C2 le sorbitol et le mannitol Page 38 ?
Quelle est la fonction du sorbitol ?
Le sorbitol a pour but technologique d'ajouter un goût sucré aux aliments. Toutefois, cet édulcorant est également utilisé par l'industrie agroalimentaire pour ses autres propriétés physico-chimiques et organoleptiques. En effet, le sorbitol a un rôle d'anti-cristallisant, d'émollient ou encore d'humectant.Est-ce que le sorbitol est un sucre ?
Le sorbitol est un sucre alcool, ou édulcorant. sa formule brute est C6H14O6 et sa masse molaire 182,1718 g/mol. Il s'agit d'un polyol naturel qui a un pouvoir sucrant largement inférieur à celui du sucre de table. Il est composé de 6 atomes de carbones et de 6 groupes alcool.Quels sont les bienfaits du sorbitol ?
Dans quel cas le médicament SORBITOL DELALANDE est-il prescrit ? Ce médicament est un laxatif osmotique. Il attire l'eau dans l'intestin, augmente le volume des selles et facilite la digestion. Il est utilisé dans le traitement symptomatique de la constipation et dans le traitement d'appoint des digestions difficiles.- Le sorbitol
Il a la particularité de bien retenir l'eau, ce qui permet de conserver le moelleux des aliments.
N° d"ordre 2012ISAL0051 Année 2012
Thèse
Novel biobased epoxy networks derived from renewable resources : Structure-property relationshipsPrésentée devant
L"institut national des sciences appliquées de LyonPour obtenir
Le grade de docteur
École doctorale : Matériaux de Lyon
Spécialité : Matériaux Polymères et Composites ParMarie CHRYSANTHOS
Ingénieur ENSCCF
Soutenue le 21 Juin 2012 devant la Commission d"examen Jury E. BOURGEAT-LAMI Directrice de re cherche CNRS (CPE Lyon)Rapporteur B. BOUTEVI N Professeur (ENSCM)
J. CHRISTOUD Responsable se rvice Matériaux (Rossignol) J. GALY Directr ic e de recherche CNRS (INSA de Lyon)P. GOTTIS Docteur (H untsman)
Rapporteur M. LAVORGN A CNR Researcher (ICBM - Naples, Italy)J.P. PASCAULT Professeur ( IN SA de Lyon)
P. SABRE Renewab le Chemistry Management (Roquette Frères) SIGLE ECOLE DOCTORALE NOM ET COORDONNEES DU RESPONSABLECHIMIE
CHIMIE DE LYON
http://www.edchimie-lyon.frInsa : R. GOURDON
M. Jean Marc LANCELIN
Université de Lyon - Collège Doctoral
Bât ESCPE
43 bd du 11 novembre 1918
69622 VILLEURBANNE Cedex
Tél : 04.72.43 13 95
directeur@edchimie-lyon.frE.E.A.
ELECTRONIQUE,
ELECTROTECHNIQUE, AUTOMATIQUE
http://edeea.ec-lyon.frSecrétariat : M.C. HAVGOUDOUKIAN
eea@ec-lyon.frM. Gérard SCORLETTI
Ecole Centrale de Lyon
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69134 ECULLY
Tél : 04.72.18 60 97 Fax : 04 78 43 37 17
Gerard.scorletti@ec-lyon.fr
E2M2EVOLUTION, ECOSYSTEME,
MICROBIOLOGIE, MODELISATION
http://e2m2.universite-lyon.frInsa : H. CHARLES
Mme Gudrun BORNETTE
CNRS UMR 5023 LEHNA
Université Claude Bernard Lyon 1
Bât Forel
43 bd du 11 novembre 1918
69622 VILLEURBANNE Cédex
Tél : 04.72.43.12.94
e2m2@biomserv.univ-lyon1.fr EDISSINTERDISCIPLINAIRE SCIENCES-
SANTE http://ww2.ibcp.fr/edissSec : Safia AIT CHALAL
Insa : M. LAGARDE
M. Didier REVEL
Hôpital Louis Pradel
Bâtiment Central
28 Avenue Doyen Lépine
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Tél : 04.72.68 49 09 Fax :04 72 35 49 16
Didier.revel@creatis.uni-lyon1.fr
INFOMATHS
INFORMATIQUE ET
MATHEMATIQUES
http://infomaths.univ-lyon1.frM. Johannes KELLENDONK
Université Claude Bernard Lyon 1
INFOMATHS
Bâtiment Braconnier
43 bd du 11 novembre 1918
69622 VILLEURBANNE Cedex
Tél : 04.72. 44.82.94 Fax 04 72 43 16 87
infomaths@univ-lyon1.frMatériaux
MATERIAUX DE LYON
Secrétariat : M. LABOUNE
PM : 71.70 -Fax : 87.12
Bat. Saint Exupéry
Ed.materiaux@insa-lyon.fr
M. Jean-Yves BUFFIERE
INSA de Lyon
MATEIS
Bâtiment Saint Exupéry
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Tél : 04.72.43 83 18 Fax 04 72 43 85 28
Jean-yves.buffiere@insa-lyon.fr
MEGAMECANIQUE, ENERGETIQUE, GENIE
CIVIL, ACOUSTIQUE
Secrétariat : M. LABOUNE
PM : 71.70 -Fax : 87.12
Bat. Saint Exupéry
mega@insa-lyon.frM. Philippe BOISSE
INSA de Lyon
Laboratoire LAMCOS
Bâtiment Jacquard
25 bis avenue Jean Capelle
69621 VILLEURBANNE Cedex
Tél :04.72.43.71.70 Fax : 04 72 43 72 37
Philippe.boisse@insa-lyon.fr
ScSo ScSo*
M. OBADIA Lionel
Sec : Viviane POLSINELLI
Insa : J.Y. TOUSSAINT
M. OBADIA Lionel
Université Lyon 2
86 rue Pasteur
69365 LYON Cedex 07
Tél : 04.78.69.72.76 Fax : 04.37.28.04.48
Lionel.Obadia@univ-lyon2.fr
*ScSo : Histoire, Geographie, Aménagement, Urbanisme, Archéologie, Science politique, Sociologie, Anthropologie
Extxendxtx abs
Remerciements
Je tiens dans un premier temps à remercier ma directrice de thèse, Jocelyne GALY,pour m"avoir confié ce travail de recherches, ainsi que pour sa disponibilité, sa gentillesse, et
son aide au cours de ces années. Je remercie également Jean-Pierre PASCAULT, de s"êtreinvesti dans cette thèse. Merci à lui pour toutes ses idées et remarques qui m"auront aidé à
remettre perpétuell ement en cause mon travail, à avance r et développer ma curios itéscientifique. Je le remercie également d"avoir accepté de faire partie du jury. Merci enfin à
Jean-François GERARD, et Etienne FLEURY, pour m"avoir accepté dans leur laboratoire. Je ti ens égaleme nt à remercier Mari no LAV ORGNA, et Monsieur Bernar d BOUTEVIN, d"avoir accepté d"être les rapporteurs de ce travail. Merci à Philippe SABRE, dela soc iété Roquette et Frères, Jacky CHRIS TOUD de la socié té Rossignol, et Philippe
GOTTIS de la société Huntsman, pour leur aide et leur gentillesse tout au long du projet NAFI et d"avoir accepté de faire partie de mon jury. Je remercie, de même, la présidente du jury Elodie BOURGEAT-LAMI. J"en profite également pour adresser mes remerciements à tous les membres du projet NAFI, dont Françoise MECHIN pour son aide bibliographique. Pour leur soutien technique mais surtout leur bonne humeur, leur gentillesse et tous ces moments de fous rires, un grand merci aux dames de la RMN : Fernande BOISSON, Annick WATON et surtout Cécile CHAMIGNON, l"inénarrable. Merci à Raphael BRUNEL pour son aide précieuse en rhéologie ainsi qu"à Guilhem QUINTARD qui n"aura jamais perdu patience et aur a " pr esque » su m e faire apprécier l a ma chine d"ARES. J"aimerai aus si remercier les secrétaires du laboratoire, Mallou et Isabelle, pour leur gentillesse et leur aide précieuse. Merci aussi aux nombreux non-pe rmanents du laboratoir e, thèsards, post-docs etautres masters, qui auront su égayer ces années de thèse. Un grand merci en particulier à mes
compagnons de burea u ; m erci à Feliks , à Amélie (m a col lègue de voya ge !), à Céline,
Wenyong, Thomas, Komkriss et last but not least, Elie. Merci aux anciens (Morgan, Sandra,Alexia, Arthur) pour leurs conseils précieux à la débutante que j"étais. Merci à Stéphane
(Pépito !) et Grégoire qui ont partagé cette expérience en même temps que moi. Merci à ceux
qui n"ont pas encore fini (courage) et avec qui j"ai eu plaisir à faire un bout de chemin (Marie-Extxendxtx abs
Laure, Nora, Vincent, Sylvain, Gino, Florent, Thibault, Floriane, Loïc, Cédric, Marie, Hélène,
Marianne). Merci é galement aux pos t-doc pour leur grande " s agesse » et leur soutie n (Nicolas D., Nicolas L., Marco). Merci à Elise, pour m"avoir épaulé et avoir toujours su me redonner confiance. J"ai aussi une pensée affectueuse pour sa famille, pour Jean-Marc et la petite Amandine. Merci à mes amis hors laboratoire : Laure, Saucisse, Yvong, P"ti Nico,Simon, Anais, Aurélien...
Je re mercie également Max ime, pour m"avoir soutenu tout le long de m es de uxdernières années de thèse avec patience et humour, et les avoir ainsi rendu plus belles et plus
heureuses. Merci à sa famille pour m "avoir a ccueilli en côte Roa nnaise et m"avoir fa it découvrir les vendanges, ainsi qu"à Charlotte, Moun et Flo. Je remercie enfin chaleureusement ma mère et Serge, mon père, et mes deux frérots pour leur soutien indéfectible au long de ces trois années (et des poussières) de thèse. MERCIMISOATRA
Extend ea
Abstract:
In recent years, bio-based polymers derived from renewable resources have become increasingly important as s ustainable and eco-e fficie nt products which can repl ace the products based on petrochemical-derived stocks. The objective of our work was to develop novel bio-based reactive systems suitable for high performance composite materials especially epoxy systems. The most commonly used starting monomer to formulate epoxy networks is the diglycidyl ether of bisphenol A, DGEBA, derived from bisphenol A and epichlor ohydrin. Bio-ba sed e pichlor ohydrin is commercially available. So the challenge to obtain a fully bio-based epoxy prepolymer is to replace bisphenol A by a bio-based precursor. Another interest for replacing bisphenol A by a bio-based precursor is that bisphenol A has been known to have estrogenic properties. In this study, we studied different bio-based epoxy systems and compared them to a classical DGEBA base d system using, in a firs t step, isophorone diam ine (IPD) as conventional curing agent. Bio-based epoxy prepolymers were derived from natural sugars, sorbitol and isosorbide respectively. Sorbitol polyglycidyl ether is available commercially, while isosorbide diglycidyl ether was synthesized either via conventional epoxidation (i.e. using epichlorohydrin) or via the diallyl isosorbide intermediate. Another bio-based epoxy prepolymer was derived from cardanol and is also a commercial product. Chemical structure of the bio-based epoxy prepolymers were analyzed by different analytical methods, gelat ion and crossli nking reactions w ere studied using rheological measurements and differenti al s canning calorimetry, respect ively. Propertie s of the cured networks were evaluated using dynamic mechanical analysis and thermo gravimetric analysis. Influence of the bio-based epoxy prepolymer structure on the system properties as well as the influence of the crosslinking agent structure (either derived from renewable resources or bio- based ones) was discussed. Water absorption of the bio-based networks was also studied.Keywords:
Epoxy net works; bisphenol A; isos orbide; sorbitol ; carda nol; structure-propert ies relationships; reactivity; solid-state properties; water absorptionExtend ea
Résumé:
Récemment, les polymères obtenus à partir de ressources renouvelables ont connus un véritable engouement pour le remplaceme nt de ma tériaux obtenus à partir de ressourc espétrolières. L"objectif de notre étude a été de développer de nouveaux systèmes bio-sourcés
réactifs, plus précisément des systèmes époxy, pour des applications dans le domaine des
matériaux composites. Le monomère le plus souvent utilisé pour formuler des réseaux époxy est le diglycidyl éther de bis phenol A , DGEBA, obtenu à par tir du bisphenol A et del"épichlorhydrine. L"intérêt pour le remplacement du bisphé nol A par un pr écurseur bio-
sourcé est accentué par la toxicité de ce dernier. Dans cet te étude, nous avons étudié diff érent s syst èmes obtenus à partir deprépolymères époxy bio-sourcés et les avons comparés à un système classique à base de
DGEBA en utilisant l"isophorone diamine (IPD) comme agent durcisseur.Parmi les différents prépolymères époxy bio-sourcés étudiés, certains ont été obtenus à
partir de dérivés polysaccharides tels que le sorbitol et l"isosorbide. Le sorbitol polyglycidyl
éther est disponible co mmercialement , tandis que le diglycidyl éther d"is osorbide a été
synthétisé soit par une voie cl assique fa isant i ntervenir l"épichlorhydrine soi t parl"intermédiaire du diallyle isosorbide. Un autre prépolymère époxy dérivé du cardanol a été
étudié et est aussi un produit commercial.
Les structures chimiques de ces prépolymères époxy bio-sourcés ont été analysées.
Les phénom ènes de gélific ation et de réticulation des systèm es obtenu s à partir de ces
prépolymères et de l"IPD ont été étudiés. L"influence de la structure du prépolymère bio-
sourcé et de l"agent de réticulation (classique ou dérivé de ressources renouvelables) sur les
propriétés des réseaux ainsi que l"absorption d"eau par ces réseaux ont également été discutés.
Mots-clefs:
Réseaux époxy; bi sphenol A; is osorbide; sorbitol; cardanol ; relation structure propriétés;
réactivité; propriétés des réseaux; absorption d"eauExtented
Contents
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Extented
Pa∆3e868DH 6+48H+423453+.4.46#+9 39+%10D+9013 He 63aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa30I∆
+!#$"0"∆&&∆&!#$"∆#%"#$!",$ ∆ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ∆=∆
Sa∆3n6+2%3# e8$+4n63aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3'I∆
a∆.251n 2D 3453.H4+De+47 H603423He 3$81n 34535%3aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3AP∆
(a∆5e 674*7 De82+D813-64- 6H+ .3453He 32 H46.3aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3A∆
&a∆5e 67813.H8#+1+H03453He 32 H46.3aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3A0∆
Hcrh FFG wRibEDicr wRIbiiFsa Rg TFRBTc(bI HRiowbr IbrF/bI grRw F(R(RrTFIb GGGGGGGGGGGGGGGGGGGGGGGGGGGGG uu∆
1∆
Pa∆,64n-3D42H6+#nH+4238293741 Dn186390287+D.3.+7n18H+42.aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3AI∆
Sa∆/41 Dn1863749 11+2%38--1+ 93423-4107 6.3aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3I!∆
2α1∆
Pa∆,64n-3D42H6+#nH+4237 He493aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3I∆
Sa∆/41 Dn186390287+D.37 He493aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3I(∆
a∆H68DH+2%36 .n1H.356473.+7n18H+423aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3I&∆
∆1α∆δPa∆,64n-3D42H6+#nH+4236 .n1H.3aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3I0∆
Sa∆/41 Dn186390287+D.3E/+G36 .n1H.3aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3I0∆
ERsEiD(FRs GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG C0C∆
rbgbrbsEb( GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG C0=∆
EAcHhbr FFF FsgiDbsEb Rg hAb TFRBTc(bI bHRlo HrbHRiowbr (hrDEhDrb Rs sbh)Rr- HrRHbrhFb( G C0m 2α1∆
Pa∆/8H 6+81.3aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3P!0∆
Sa∆g6 -868H+423453 -4032 H46.3aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3P!'∆
a∆/ 8.n6 7 2H.3aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3P!'∆
∆1α∆δPa∆3e868DH 6+48H+423453He 39+55 6 2H3 -403-6 -4107 6.3aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3P!'∆
+!#$"0"∆&&∆&!#$"∆#%"#$!",$ ∆ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ∆'=8∆
Sa∆3n6+2%3# e8$+4n63aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3PP&∆
∆!$!" $ ∆-∆4!+∆$!∆ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ∆''∆
a∆+ H 67+28H+4238293 $41nH+423453%18..3H682.+H+42.3+He3D42$ 6.+423aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3PSP∆
(a∆.251n 2D 3453.H4+De+47 H603423He 3$81n 34535%63aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3PS(∆
&a∆5e 674*7 De82+D813-64- 6H+ .3453He 32 H46.3aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3PS&∆
∆%!"0!#% #+∆"!"$!&∆-∆$%!∆ !$6"7&∆$∆"∆A∆'∆βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ∆'*∆
(∆%!"0!#% #+∆"!"$!&∆-∆∆∆δ∆ !$6"7&∆$∆)--!"! $∆&$#%!$"∆βββββββββββββββββββββββββββββββββββ∆'*8∆
0a∆5e 67813.H8#+1+H03453He 32 H46.3aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3P∆
∆%!"+∆&$(+$∆-∆$%!∆ !$6"7&∆$∆"∆A∆'∆ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ∆'<<∆
∆∆δ∆ !$6"7&∆$∆)--!"! $∆&$#%!$"ββββββββββββββββββββββββββββββββββββββββββββββββββββ∆'<∆
ERsEiD(FRs GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG CSP
rbgbrbsEb( GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG CSp
Extented
EAcHhbr F/ FsgiDbsEb Rg hAb EDrFsa cabsh (hrDEhDrb Rs sbh)Rr- HrRHbrhFb( GGGGGGGGGGGGGGGGGGGGGGGGGGGG CS'P
Hcrh FG FsgiDbsEb Rg hAb (hrDEhDrb Rg cwFsb EDrFsa cabsh( GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG CS'
agPae 24135 a4ePggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggP'<>P
aagP82+82a-8e 1DP085 a4ePggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggP'.=P
∆δP1δPβ
aaagP5.1215 82aB1 a4eP4?P/a40/1081P8+42GP0G0 8-0P9a .P712a430P532aeEP1E8e 0PgggggggggggggggggggggggggggggggggggggggggggggggggggggP'.
∆δP7
SnP/I0(S&!)P&&$!&P6$%P#I 5! $I S+P#9" 4PS4! $&PgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggP'.
δP+
δP+
(δP5α*αa7gP54e5D30a4eP4?P+12 PaPgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggP'6'P
Hcrh FFG (oshAb(F( Rg bHRlo sbh)Rr-( To IDci ErR((iFs-Fsa rbcEhFRs( GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG Cm=
agPae 24135 a4ePggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggP'6*P
aagP82+82a-8e 1DP085 a4ePggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggP'6
∆δP/
SnP1!$!" S$I PI-P$%!P&$I#%I!$"#P"S$IP"A S%C !P-I"P$%!P!HI0S !P"!-!"! #!P&&$!PgggggggggggggggggggggggP'6.P
(nP?I"9+S$I &P&$9)!)PgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggP'6.P
aaagP2803D 0P1e1P1a05300a4e0PgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggP'66P
∆δP* 9 2-%δP5
(nPE+S&&P$"S &$I P$!H!"S$9"!&P-I"P!HIP !$6I"7&PI($S !)P9& 4P$!"$S"PS !&PggggggggggggggggggggggggggggggggggggP'6>P
δP1
2-:#(nP0$9)PI-P4!+S$I PggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggP':*P
#nP1!$!" S$I PI-PS#$5S$I P! !"4PgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggP':.P
)nP2!S#$I P7 !$#P-I++I6!)P(Pa2PggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggP':6P
(δP7a7gP54e5D30a4eP4?P+12 PaaPggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggP':>P
ERsEiD(FRs( GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG Cp0P
rbgbrbsEb( GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG Cp=
EAcHhbr /G )chbr cT(RrHhFRs Rg TFRBTc(bI sbh)Rr-( IbrF/bI grRw (RrTFhRi° F(R(RrTFIb csIEcrIcsRi GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG CpS
agPae 24135 a4ePggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggP'A
aagP91 82P042+ a4eP/8.17a432PaeP8+42GPe8 94230PgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggP'A.P
'gP9S$!"0!HIP !$6I"7P $!"S#$I &PggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggP'A.P
SnP06!++ 4PggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggP'A:P (nP++S&$#,S$I PggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggP'A:P
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