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AR22c -- 1315 `Spreading of Aqueous Solutions of a Mixture of Fluoro- and Hydrocarbon Surfactants on Liquid Hydrocarbon Substrates' ntReh Dpib, cGmyoCopii Now Tork 0507 ReedFury 17, 198: stldy 0.1906 Jlhhvcevpetsritmedaei rietnirniaa irsoofsognA vninoosntreofmcat tionsdt4mc) f p T rt eo t ofr ero oepn AlthoughmanyRsotupduieshav be reported {f6inosmont)hoefhtihgeh soruorcuarbaocnivuiayet(aonwissuartftahcee o(n1-t3h)e,sstudries aon tpdhuereshipreasdninogngopfusroolhutifionss, Sloow slurofacne teensrioan,nco(u1p5l-e3d0wditvhn/teheml.owThini. G10 beoscaerceddespeite iempnorotannt i4n-du8sriaaplpaeps. _ sturbascriatepinstoernfac(e1,-a3llyonw/setmheyAtFFhFlsoiluotionn, DcTealotmmiinoginosssmhsourcthkAnoaF5wnTthaeTafhqoiuremaouuslsastiiomon-boorfmaifvrne.g. 31G05roshpcraeeraadnlsspoaofnnat.apnolesotsuisvle(y2o0en-s3mdiaynngycoau.uilcdeThnhy,e. ooinriemifosames,nsapt5eatdhpeainndnafiBormmim(pm0lo-er3,e0hoassrskhee yc.a. WbS ecchaaucsaerobtohh nesurrfaaoctrnantte psohpntrisecfutrbyenwlu leyesenorrhaey (O C50aTlhen fToramatmtienoo asnioonfhyrdarrv oencaiadrbuaowdna eeoanusdsuclfhoyasy W4h7dedroohcwearrcibioorrns ntlhdeypaTiroorrno.cuyrbosnpsounrasceanftosr on he fu suf provides aon clneiyfost mThee prhacticaeltwmeeofttehfoemwowsenlbloknnoawnnd RSehcotmaonfcotuhlyfosup:reaTtdingalaqeueKonuoswnRytehaautse. Woydmrorcadrbson,Simuacnyihn rAFFtFecfhonromlaol, Tar"neAsFtTngrexneeeraglluy Acointnaign emiRxetuernees ooff hhye. 8Ttenolcldoaufnsdtsheerofsmasunundaiicnanmotfset(ea10f)n.ondtawmeeennt the roracaarptrcooonpmeapronndoeffnatn.uTAooFeFEsopoGnrotfawnaceoaeuhnssspmoraeasanhdy.e oEwnT:heesslrcebdeaanbnivloyfaoennd ksiihndosmot.nmTahnoeehpseprdrsehaaodsf ctt e 60 Cats sd ute ce cSiolntydroeesrof chhetaandrcnbme proorpeerryady fernittehrse a fiecriemnitn(e1)PededfionnetdhaesFark oot. w ontseso A wmom eem e , =2 %2 23 2- 3Z2 a 25, 7) 2 23 2 3z2= 283 a2 aL 10 emo Saavedra (reading ofuid 3000), [1] SabcnadisaeAtrseimianla(o6nnahipepapacr1abtdehahKee.lfNdsice0oscosn Whedr ahndd. y epetheea .faacned evenihmi:n RF2h1e sPrATiEEES 0oaoffoccoosmmmmberedcrrial nadndexcopfeerl bSfpoaontniaislancoonussisopnrabdeitnweweinlotchceurwhoenASUIsS iLhneSsoarcaadabbilsteooff varviaoriuosus mmiixsttuoosrffhebyys Keene and heptane n oi Sad only voolmvTeheesn.sicueiatdsntsaastpbesecptrseoafdifsapeono5tansoos"l8y P(5C, 4jojPi0o3ns70bSbeteweLnen tioherempaspetroednadaaeblrileintyneasndtdedth.e . 240 Inthe catoefpusre AsO AE i. he satin ts of seven soe Of spreading has been fh 10 be PIOPOT- omg of FC-129, 3 commercial fluorocarbon plhteicaeotendiealndt.oittnhobbgeoeswap4ueraeiranddtiohnioegnnso,prfeK1ahdmDaietnsdsgaiesmsp)ueerniadscoennxtt LL sL urCfaCctaL nte , eanvdoearn.(miiRTxAht(eGuryC)eTtaoAnfdBapsrebrefellcuomiehreovaedme- uthand mercial nionnsd aoof he {Leven th resin te and oe oidSuhefrepsleauscnttdaeaesnc)acnetSnoomRerMbtcoIolGsOnscd.teeomsmtoiirhoctmonyhcaeendctortaopteiioadnt the expanding merce nd thre LC reading coeficient. rTheya, hnowsevecro,ndciednnto:t 17pS1i 00we he ivedies d he spreing : ShhaosuernlespopnilhrtehmsotsienFgoieohendThlke $088 solutionsof8 commcrci ares ty dir time dependenceof the spreading coeficient yu qaouiative relations between the rate of duc to the dynamic responseofthe surfactant oreong"ang the experimentalparameters molecules 10 the expanding interfaces can. in 1 1yed in the spreading. such a thespread- theory, be expressed as ing coefficient, dynamic surface tension, and {"ThoseamSre tethiemdrcepseenoddfenmucateucaalwnlsslblolibleywbB de. 0quatnheti )sorf tthe sapnrt deadhiengnuairde "wtaapancegd in Innaactl,heeGnisdlprren "eathdiansglagHpseunoddfaisnpnrdgeaatdhniendsgthsuuecbhor5c.0 lcmoaedsnisncegmn,m t oofurtd eexhaeprceeore nEtdxsopannvssiooofnodofnttihhe CreosNmpeoonnrdiainntgryaslpdr(eea1fd)itnagnndcdoLeeiolndaorEd(s1a1)NdvBreeetn csoesostpepsuofbSareusin Fuk io he ur : if(6ag1c)itiaon dstuhtirhoesnrusioosnmodnprotshceasrbrbwcoaindnuindthofee iur exaretnasTaL foWfrroomomadimohanenaapdolisnt(5u)ofipnvvieerwsotfeoefdeslsheepviarsppoeroreaaatddinio.nng csuormTfmhaeceriacnmitiaslsotAsdPFionfchoiosnrtcyeannwdishyCdk2in0co6aw8rnb,5o5n ropes of some commerol ATES 80 "Th wale manoiscres by 3M. Souions a3 SPREADING OF SURFACTANTS ON SUISTRATES 1 = x + dveetBnircidcedelewshhceerrieepxip(oenr,oimfetnhtealapppraorcaetduusrehawsabseans 5 = ftoolmleowtse.r Tvahs sreetcoorndear oifhmeebaIsRe. s10percetardotphhe absorbance at the wavelength comesponding :ra. S0"tsTheheeqCIu-RHivsatsreatdcjhu(s~te2d9t5o0rcema"d)2o6f1t0haebssourb-- : we b2a7n5cecwmithopaennemaprteya.teTstheltes(t6cclml cwaasmehre,n i. 1. Sechevmatirc dCagCRofuelsTpC o:tVA, v5.i larbetsdoarwbniactnhcee1woafs05a.ofrsT.uhrbisastr1syahtcderubasnatnectdehetverueeladiconargn. `Totee aiotNGr.smoWnhgtFeS. (460 5.5 roenspdosndtso0a3ssurface reaof he aqueouslm. ofthis conceinaannritf rcaawtaete,Were adroo"rpThwfeisteeesttshpraroeuagdhaingnseoelTduhltieeo(nev2a2a6s)dthteortahpepplsiuaerd- sutsaetdesi,nmthie ssproetafdirngpeteaxspneeriamnednYtsIOANsKAuNbE nyaycoatin hteheacpobntreofnheth1e 0 coelfhie spueclhe8 1is5ne5nvacdraiytonu/sacmvraonaltgue2me5of)psr.uorpMfoarctieioLnexsniowtoenrsue (eu2prs4iea5dene10. 01oandfotohrmen,surAftsactheoejutmsotamleolonwntedtihaecromsploentpeedroroplfhevety and hexanewereao used 0cutend Rhee TCL imasdrecording on thIRveas t0hes1ur8fadcyentjeenms)io.nrangeof thesubstrate (198 Methods uSworauusnsrelacdyocntoaonrtf.oaltTlhfeheldeoswbusybroslaiutrtsaiyootrfnia0nw.gsae1s7cpamoupmymppmpllii,eentdue,nlctyoiwnlhctiitocnh.h.e Determination of sreading rate. wTaheneasp <c1aogdewwiahstehveisdpernecaeddfbiym.ihTehiesdcucotmipoenteofctohve 0me adienromfiao nne ItRhespserccatardoiehgotsompeteer.cqcuiopprnpeessd b53orcaalnonsc.aete1o0n2t6h0 aFbsoirbangcheowcuslsemrthee e50-% coaenpllot(rhTeCc).ocnTocnhetenitenrxuapoteuirsoinmomeofnntitathlorthieyncdghrnboicyqaurIeiRb.sobnoafssutebhd.e CC3oXvdPeEr,aRgMecEplNosbinatttowohdniecihnceuwravtsehewusaaevsdecrtoahngrseotursguphcroteueatddtibhnyeg - rte. Sine tmheeomvaaopoonrlcoancaenatsiioenn oifn hthee Mfesisinmg t-hraccboofsthevosuaebrst.arbfeu,nactGilnoansscofitenhse Shiaiuocrobauasneie mcraeneadbsadursifeeatdcleiyotffhtrh1oempsruohpbeesttrsceeca,orrtedhe,er OShfeExYaRanSer)ohuwaserdeihauemseddteertospcowrftietshhhetassevhueebriagtlhatHm(s-cigccholtonl--y TomtoGesermin th area spreading ete. A EcTlSl. Trh saAurl:usofitnhgewcyacsloehneexarne nintshidee tshte. sp essa iE Ws then completely covered with the (CAoSmTm1a18n130).mamta Le Padus SaPcrecacdovlermaget,hearenbdytcnrcoemeaasfptroancidtiinnogngaalbseurr.- : 2H 2 mo Fi. 2.Tp dermiafaeieoensnie for50%coreig) 0 tes abbainacienewdasis rsehado.wnThien Fcial.ib3r.aTtihoen acbusrovrebatnhcues viamleunetsofo0.5d6etwearsmiunseedthtehrSoOu%ghcoouvtertahgee.expTehre. cohnooiucreporefltihmein5a0r%y ocbosveerrvaagteiownassthmatadupe1o hbaisesd coonvemrsagteotfhtehseprseuabdsitnrgatwe.as reasonably radial conIdntihtiiosnstoufdycthonssapnrteadaipnpglsipcaeteidonundoefrtthhee Spreading liquid i definead Ie ab RY gooof 2- A\ | o dog i--som ni mgeosion cpuofdo toecdeeacoif xis A/2 0 Va 1378teens. [3] sHesre theistitmhee arveeqruaigreedarfcoarlhsperc0ad%ingSsuprofccde, sctorvaetreasguer,faacnedinA hiettheestocpeeln(a27r.5 ocfmt)he ub. surTfhaceedceotveerrmaignea(tiiso)notfhetrfhorteicmonfsotithuteesSt0h%e majMoeraspuorrteimoennotftohfeeeixpberriimuenmtsaonfhdidsasumde. ssptrfeaacdeintgesnsoilountsi.onTshaendsutrhfeacseubtsernastieosnswoefretahlel mTehaesiunrierdfuascianlg ttehnesiWoinlslbeeitmwyeepnlattehtsepcrhenaidqiuneg.. sthoeluriionngsamentdhtohde.subTshteratpersewseernecemoefasthuereubndy. sauvbositdraabtleemsaprdeeadthfemWsikoenltmhye spulraftaecemeotfhtohde unsuitable fo the interfacial tension mea. solDuytinoanmsiwcerseurdfeatceertmeinnseidonussionfgtthhe sdpyrenaadmiincg datroorp w(e1i2gh.t method developed in our labosprAeladliengmsepaeseudrweemeenpteirntcorhmiendgath2os5eoCfthe c 28 SPREADING OF SURFACTANTS ON SUBSTRATES 10 ResuLTS AND DiscusSioN wtahsosfooufntdhe0sboewcsopnrseiadderianbglcyaslees.s Sroimael ptahratns me"nTthoeeifetxhpseersiopmreenatdsailnpgreessepuedsc3osf.thefuFnconnmcetaisounreoo:ff o46f55t0hseObsospeorrenvaeddionftghtaihtemthhisghhsopswrueeradfda"icnneggteesnprseiieondngo"fsuItthse gBso chic of the concentrations of the AstrEateMs (yI,n>a2n3d adypnpjaemr)toderveiaacthes fpolmanth:e A ohoceof the conceantratiaons Of56 inudseptehndesntpofrheesspaeaeddebieecnonmogens opfratschticaully LsOh) neloaera PutesedOe BI. ahatvsi.orThweilcabuesfoufthtehris eixmaimtiinngedsplraetaedrinign t tespreat dingspec prs CONMECHon with the. discussion of the dy. in Fi. sr average ofa Ist thre ea. mie WT enon ccospreading sureThemvereticnalbt arss ont.he data points PPefomena (Fig. ininddhiieceatesrtehaetsitnagndeardd deavipatpioen aofbrethe mean nar [hePAlplEitahiNTceaSeustr5egiSoingIohnRtthiEen6s%riysou lutis olnlcnainnhge Rea las coon snes function of the substrate surface tension, vo. TA=kit mah 1) `ctaahneudses6cd%atbtseyorluottfhieotnh.meadrTahtkaeesdpe raoergeuai lrbaeerln ioitbeisveteesdrvs ie0ndtobhnee SS[2i]ynca(en1dn=o[42]s,2)pra=enadd0ionintgctoahcnebcuaerssssuh(moFpxwtnio=nfr0t)ohmawtEhatesh.ne cSopnrceeandtirnagtpeadtsteornoonf tohne hfgmh-ssuorfstceh.stheingiholny oSfurifamcee tdeunesi1onothfetlhe sauobfsmtcurattukealisnodleupbelntdyent Ssupbrsetardatiensg.(Thhieghspsrperaedaidnigngpcaocftioctifetnehtesms) Gsmts. htheatime Tame of this spreading experimen, |so os 1 od 1 Fc. 4. Ava edo ee 5.3 clon fe si cinof bs 144 mo xSU h| hET0Cc.HC550..sSSsumocufitthneemoafchieeoa2ds3c8nla reiiooofnf3napsictynceuit wss crocmelntisoshon3ne omuroesonnReosifn Famki(ra-[+nrlantl=t=Ol)) =kira= Zr = (fac=ial toenfsitohnestw(ovuvea)luessn.d the sum (Ty Equation [5] showsthat he average spread a Slim 0 Tohfethcexspiictoenxpr(1ession oinf 15) tthheestihmoevdeecpOeUnUdNeOnNcSe iSn sipued(1is= d2i)rstpyrepardoiponrgtcioosnaflcetontth.eHeqouiw. evir,ditealnso cofnutnacitnisona opfarhaemesutref,acktoa,ntWhciocnh tiiselrifyanctiefanledcaetsdpse0cbtsu,tintTdhhieceardteeyfnonraoemtittchhees(umnurtsuuaialonaSdn0ii1snn0 gSseeemnmrcseetoisfoetnh.eertshprvteeabtdyienmgeapnthioeinaotmnegne ahoen the eenodny:. sftiantiitce ivamlueess.hoTuhled rbeesutlatkseonf3slicneqaurilrebgrrieosmsioonr analyses ofthespreadingspeeddat ae SUM: Io1txtpheisaipmost,acrfseisnsiructive 10 cxamine ovthe dynamic surface behavoifohre sur. amarritzheedmienaTsaubrleed 1s.uArflascei(nvc)luadendditnheTaibnle1es s{cracdvintgepnheuniomsencso.mFisgomre54ssshsoaawsnasen (ilssnttai)onsutrhfacseum(s1.0o0f) tahnedtiinmtee-rdaecipaelndtennt ResiinnARaEegiorn Ans sfiaocnasnt(1pl4ov)ieodfatswoa sfoulnucttiioonnsooffatgiimve.enTswuo. concentrations, C, and C;, above he critical Temi micelle concentration are compared, When S w1v 0u m w0S 6 G1u93n M WSI0mE6d0D+27 reftahecohsenusmtohpeflstacheeud otfnwotchte eseuorfenfatcohensfosasuifs8busiorsifutbanoscett(ravsnan0tt)e * o3_00Mo C2o4 1m2a Sin9ig4ss3ii0n theerewadinng cocnoceennttbebceocmoemsesppoosties,ie, iSuenfehmnd re iccqedn tice (6 vb hSpereaaudainignmaeknteopflahcies. sTphoentiamneeourseqrueiraeddifnogr atape 17. 3 3 SPREADING OF SURFACTANTS 0% SUBSTRATES 1s cWioetnlidloiintnigoncs,toahirneferod,oss,pporenbatedacinongcm.oessOentseesir(ntnieg<cowonin-l. aridilgchasyuurisanc-emnsteideoenpoeFsnusdbpsertnerataSdtiepnc5gksdipnnreccoioln Cfoaecotcamnxtpmamnouinvnligeitnshetrrpaocmsetbheecobnmleksosnftstoheenu:fro FinglTbh.eehapvrivoiroousbyrmeantoifohneed4isiolnoiosnpr(e1a.d io n ptehcr teexdtahmpsn orsgeivdee aatFnssae.h5d2mtohCussant1i.o9n ofcthaen hnoowrtxcrxepaadnayiuonndrsood on he bu Both hr 54 and 35 csentally prs dmeeptstqeucikrmhatprbostdhicntcioonrehasv.e hTen 1ahratmEcheealanydthdeimceaaome lnatanssis.i3bbeeeaenn t{epheeirnsamrriesssnpeeacutt,hbetehbrohefiiitmivproerertrtneaStnportfespardaairainagmneestteearenldtduhtaniotoendnersa- t1S0hecumosmpeiprea(art1de4i)n(sgtht8gsp.pgee(end3i.(Cn7To)hnecyisncaaintco vieorosnnelybt reeloatdnetd fruaaeintiobtfceanaiouornnedodfyctniheaoSnmTi(RRcS,TaRau)n.rdmaItsnhicteoeinrcaidmarn.,. dthiuTeadlbeo|mSshhooewInssWphrSHteEadhieSngunsEux0pc(ePresrts-si0onssprros.f ShlFoieglunarteiow5nililltbehscthsetasbprrheeaeddiyng emofceas. wSiohenels.ciThuheitmhirmteafscualrcetenvsaainoldnuseeoffswtaehco6esndof COnFdothirnuwcioinanhgii,gaehnRi2S2oT(Rn,,hataGsrvhoiosorpmoefrosuipteoisou.nm S3%-,hhs1anbdeoe.n1o%nutdse.dithohanraFwaernCe m2erasoma0rperde6gc.sAai1 TvShneiessspprreaasadicnaganerb.eesasepofdint0gh Gssuartfsiacoen ttoehnnslsiouan.s uhocmeltha1vatheer3,CCcTMhu.CeraeCfMO(C1no5ws(shv/odaweyleThmoenee.d (ShS4he5eo+rS+rpn7o(%n)ia.a1nAcs)soutshoeApssmeaurscfedacioenngteenncsssoinuonnrdoiyfnitotehnosweios4uunbd-thfSnotruoedsyaalnml1ethrSeoevseolmtuhtioCnsHSIusuCeed4nsfdorasnthhdoewmspieresardilang CSShhroewtcn hinteFerenao4nciTonhfgetiheentecsrutobetscesreen,shtapwAeithhaehande hpeS coonenh1i i3erpapaireoae nmcedteer10kpybeienaEntogfedhd]eefroeanptreencsedngeyt.s vTPiaigehrrwibwle,hyeonhndtoetwhsevablbeectohrmtae.ecaepcrheosopetnhssignprtley.s nsmaemeicddpseandFcinsc.asn2donmfdhre fSshpcrCelaodeinnogscnetsotr5he1e c5oPi2reptenihdateod2unistnl7gyo4fdrmettsheFecegwsnidluSibbnb.geiOcrpoomrsSteiuuophnrcasocfatitathnleeyocsumrdvtbeehs.,e. d(SEeoqp.Fnen[i2dh]ea)ngtmcacepuyroobefrneserhseenepelahahcreeedeabrayaatndstdhieocfcohnreceecanetlyraentei::onn CsSioisvnenthheegpfoalaesnmrealealucmoytmpphaersetddmnvgirnceohneeddommeTso Sacurkfacocesfenscinuoinaomlneamsmueersesimrencnmtfseo,rtBt,heewendygonrloayrmtihe SreaTon arthesiusrrcieinapn.ttoliutiioenrehsaitnS1quaabtrs ifhgsnpreahdeindgypnhaemniocmesnwa.ce1hrsctiomnedpeeet hey to adsorption esat ihsoon' EP ou es bece1eTdER0On Sub Te SA kt (es a8 I" mo he A EE --n ------------ creirneenalhsgicartpoionnisofbdoror oimnsbm = 1(33C%3, dKYofoRy sKe R 1583onpdtsBe [ iopetrusr han ta e sisorp piobn t eof DuArohrEA46A 1 HIoweri wonAA E5biS dtt reno acl pentont of ree ren3 tand costa me. ibothEro6 ta s mia o ioes mrg2, 0oh ja rToovnpSotgaadeivaesleyivmyas 4. rt Eooab of ueoendoo oereSt dRo Rs THrs oat rare as wi mms mis sions ss ach bnesbnshoewn iug f3 Boe renrmythe i ohowig cae shown1.. Tfardeatdependence oF ky = 000070 . WO=rle= DY, 61 Itisinteresting tocompareourexperimental where ky = RTUTTMF/(DK)'"C,. Here I* is resultswith those of Joosand Van Hunsel (8). rAneciareroett n ityomI eEeieF6i t7he 20e4I 3emelodt et w Vue1sra sn e--di--m cdoo--neomtt seeemi .Tamdans would shaso traiw ght linewiththeinversely Vi=di=d KS", 1 29 SPREADING OF SURFACTANTS ON SUBSTRATES ww 57 ha 7. DysonGame iFi. plots 8 cio ofcsofcme `oachfiotsnhsectsxapunrbtesscsto.on bnIencttoemtamehsseidofenntshiietaynranagdspvriescaodsiintgy woCeflolPpFnrAesdCiicatnhedddeebfCyaTrcEtAqti.Bhan(t7oE)ng,a.wbh7een)raeeansieatwmayisxtvunaroleti. C I. ony or pure liquids it s suprising het the m"eTrheicsaalmceonramtVaenaet=xpdwraeastasdis=otn,Ke'esxtcerpt bfyoaCr tohetcn[a8u] efOqfourtamhteeiroxnseuwrdfaascstaalynstomsp,yrsothveomew.devtFeoorr,betthhveeaylsiodptrfeaoairdnitenhdge aa nd Sci. nothtei sudy ofthe spreadoifnoigl apn oempniorfiecialmneex1tpr5esnsoiton s4hosweiqnugitrheadtbtyheheex-- or0ca0dsinagndofVaanFHCu.n1s2e9lsdeomuoinosntroantedCCthlatwtahse Oa0rg.yr4.e2e5bm)ue.tntTrbhateehtyewrceceolmotseheeloytroyaa--bn1date(xaepcdteuraitlmheevnatilu1se o i ofe thoLeniatincmtea.th.Iaf)otnthheeesspmerseeatddhienpgeecmnopdciefrniiccciyaolnoftetxdhpeeopaneenrndats be stphreaapdrinegsiraotnefoV, (E,q.wo[u8]l)dwboeucldomveandiesnhiaanld For J +ThtmoenEetq. a[gn5]od.odthesgtrhceomreyn,tEbqet7w)e,eninththeei cexapeero:f jFEET TET rFiCn1s2e9d/CsCurliaapcpaenatrsatoadeiaicvteltyhahtigthhiscon Conon (05% actives) may indecd have 8 oFob. &CCoonmemmrtiondeenminsoftheesroocni. M(hLAEEOCFSac anvd eetasels tpenesionoe Trae ck oan: Surfcrettenc sion lh iqauidtt onr3ehi1gh surfsatcerne 30 1s c mo (sFiiogn 5sbu)bstrate, TFulion (1 CCl, which 3s aeady discuss describes ou exper. AcksoWLEDGNENT] TH sri bok to GaGyCorpoor d`meemnotanlstcroantceeintnrtahtiisosntuddeyp,efnrdoemntcheedayrcnsa,miacs "On PUbish is paper. pC`arudoespsoerrpalttyiotunhnedbeemrhsaetvoiroodranoftatenhrdemtsshuoerfrfteahfcoteradenytcnamanomliebc-e | REFERENCES 2 TinORSALE Kcmao. Suolruftcioenand inefacil aofShe DoRAnNG 2 Fo C7d Chere8eW0Cr3..S 150t vasTtliy disffseorenitnterxepsetriinmgen1t0alncooenditthaitondsewspieted,3 in Joos and Van Humes study and in our + J 0%0.9r 752H,dLeE4Bresk))CoCdlooendtLioeme 50 1.1 "pirnvceasdtiignagtiotnetohne sthamespdreeadpingecnoediocfeieBnnetacrveies CCoppila ohaerreed.TTheHOacRhUaMtbIotOhIeSaSts LNaiurok)ne:sCS.5aK..gR9ee1rson0by5C14oReei ny Bb ib. mc. 20 inte thtto mil mr ht mr Co Pe Te 1435 CiouocrmapteaixropenedorifmtteohnttashlperceomanaddijinotgirosnodlrouiftvicoionnnwstfaaornctSeaapol-f 7 Z3s103,XG1o35,204d37 ()19.77). BY C-oP 5 `preadin, he spreading coficent. 8 to andVaHume 1.1 Coll ref So. {choenvcenqtuioinailrom ursspreading ancdonetfiaceinrtcba1se,endo5on6n"150. STioNnoLorn. sosrtoimounnTeor3oiscaboChC9o7oneBm s Gat) ftsoiioentse (Eq. 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