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(1)

Adsorption

Behavior

of ro-Hexanol

on

Ag(lll)

from

Aqueous

0.05

M

KCIO4

Maria Luisa

Foresti*

and Massimo

Innocenti

Dipartimento di Chimica, Universita’di Firenze, Via G. Capponi 9, 50121 Firenze,

Italy

Antoinette Hamelin

Laboratoire d’ElectrochimieInterfaciale, CNRS, 1 PlaceA. Briand,

92195MeudonCedex,France

ReceivedMay9, 1994. In Final Form:September 27, 1994®

Acomputerized chronocoulometric techniquewas employedtoinvestigate the adsorption behavior of n-hexanol(NHEX)on the (111) faceofa silversinglecrystalfromaqueous 0.05M KCIO*. Thecharge density, <tm, as a function ofthe applied potential, E, andofthe NHEX concentration was analyzed

thermodynamically,yieldingthe Gibbs surfaceexcess andthe standardGibbsenergy ofadsorption,AG°ads,

of NHEX as afunction of Eand ctm· Acomparisonofthe experimental adsorption parameterswith a

molecular model points toaflat orientation oftheadsorbedNHEXmolecules. Thelow valueof—AG°ads

atthe potentialofmaximum adsorption,18.4kJmol™1,isindicativeofthestronglyhydrophilicityofsilver. Introduction

Investigationsoforganicadsorptionon solid metalsare

importantfrom bothatechnological anda fundamental

point ofview. Thus,these researchesmay allowabetter understanding ofthemechanism ofelectrode processes

in electrosynthesis and electrocatalysis,as wellasabetter control in theuse oforganicsas corrosioninhibitorsand polishing agents. Moreover, the adsorption ofneutral

organic compounds at electrodes provides valuable in-formation on the structure oftheinterfacialregion.

Quantitative investigations ofthe adsorption of

un-chargedorganicmoleculeson singlecrystalelectrodesare

scanty andthemajorityof themwere carried outon metals

withlowmeltingpointssuchas Bi,1Sn,*12

Zn,3andPb,4on thebasisofdifferential capacity measurements andwith

an extrathermodynamic analysis oftheexperimentaldata. Differential capacity measurements often fail to yield

realistic quantitative data5 because ofthelack of equi-librium at the interphase: this isthe main reason why

these measurements are hardlyamenableto a thermo-dynamic analysis, which is quite demanding as to the

accuracy andreproducibilityto the data tobe analyzed.

Results accurate enough to permit a satisfactory thermodynamicanalysis havebeenmore recentlyobtained

bychronocoulometry, which allowsreproducible

adsorp-tion measurements even if adsorption is very slow, providedthat asmallpotentialrangeis available where desorption is fast and complete. The differences in behavioron differentsinglecrystalfacesare small for the low melting metals, probably due to a relatively high

surfacemobility.6 Conversely,substantialdifferencesare

observedwith Ag and Au. Chronocoulometryhas been employed in the study ofthe adsorption oftert-pentyl

alcohol,pyridine, diethyl ether, andbenzonitrile on Au

®

Abstract published inAdvanceACS Abstracts,December15,

1994.

(1)Paltusova,N. A.;Alumaa,A. R.;Palm,U. V.Elektrokhimiya1979, 15, 1870.

(2)Kuprin, . P.;Grigoryev, N. B.Elektrokhimiya1980, 16, 383. (3)Ipatov, Yu.P.;Batrakov, V. V.Elektrokhimiya1975, 11, 1282. (4)Khmelevaya,L. P.;Chizhov,A.V.;Damaskin,B. B.;Vainblat,T.

I.Elektrokhimiya1980, 16, 257.

(5)Nguyen VanHuong,C.;Hinnen,C.;Dalbera,J. P.;Parsons,R.

J.Electroanal.Chem. 1981, 125, 177.

(6)Parsons,R.J.Electroanal. Chem. 1983, 150, 51.

single crystalfaces andin that ofpyridineon Ag single crystalfaces.7

Quantitativeinvestigationsoftheadsorption ofsimple aliphatic compoundsare quitelimitedin numberon Au single crystal faces.8 No definite conclusions have yet

beendrawn7astothe effectofthedifferent crystallographic

orientations ofAu on teri-pentyl alcohol adsorption.910

Morescarce resultswere publishedforAg single crystal

faces.

For adsorption of aliphatic compounds on Ag single crystal faces, no experimental data accurate enough to allowathermodynamic analysisare presently available

in the literature. Hinnenetal.11comparedthedifferential capacity(C)vs potentialcurves of0.02MNaFaqueous solutions saturated with ethyl ether on the three low-indexfacesofAgwiththesame curves in theabsenceof

ether. Ethyl ether does not affect theCvs E curve on

Ag(110),thusindicating that itsadsorptionon thisface is either vanishinglysmallor verysloweven atthe low frequency adopted (15 Hz). However, ethyl ether de-presses thedifferentialcapacityon the

Ag(lll)

and Ag-(100)facesin theproximityofthepotential ofzerocharge,

this depressionbeingslightlygreateron

Ag(lll)

thanon

Ag(100). The lackofa desorption peak on the positive

side ofthecapacityminimum,which contrasts withthe

presence ofadesorption peakon the negative side, was

ascribed by the authors to slow desorptionkinetics,11which is particularlypronounced at positive potentials. This

prevented a quantitative estimate of diethyl ether

ad-sorptionon Ag fromdifferentialcapacity measurements.

VitanovandPopovdetermined the adsorption isotherms of -hexanol,12isobutylalcohol,13andro-pentanol14on

Ag-(111)andAg(100) atthe potential of maximum adsorption from differential capacity measurements using an

ex-(7)Lipkowski,J.;Stolberg, L. InAdsorptionofMolecules at Metal

Electrodes·,Lipkowski,J.,Ross,P.N.,Eds.;PlenumPress: New York,

1992;p 171.

(8)Lipkowski,J.;Nguyen Van Huong,C.;Hinnen,C.;Parsons, R.

J. Electroanal.Chem. 1983, 143, 375.

(9)Richer, J.; Stolberg, L.;Lipkowski,J.Langmuir1986, 2, 630. (10)Richer,J.;Lipkowski,J.J.Electroanal.Chem. 1988, 251, 217. (11)Hinnen,C.; Nguyen Van Huong, C.;Dalbera,J. P. J. Chim.

Phys.(France) 1982, 79, 37.

(12)Vitanov,T.; Popov, A.Elektrokhimiya1974, 10, 1373. (13)Vitanov,T.; Popov, A.Elektrokhimiya1976, 12, 319. (14) Popov,A.;Velev, O.;Vitanov,T. J.Electroanal.Chem. 1988, 256, 405.

0743-7463/95/2411-0498$09.00/0 &copy; 1995American Chemical Society

Downloaded via UNIV DEGLI STUDI DI FIRENZE on October 6, 2020 at 14:41:46 (UTC).

(2)

Adsorption Behaviorof

Ag(lll)

Langmuir, Vol. 11, 2, trathermodynamic approach based on thetwo-parallel

capacitormodel. Theadsorptionofn-hexanolfrom0.05 MNa2S04was investigatedon Ag single crystals grown

electrolyticallyinaglasscapillary; thesinglecrystalfaces

exhibited a number of screw dislocations which were

partially eliminatedbyelectrodepositingAg+ ionsata 1

mVoverpotential.12 Accordingto the authors, thetime

requiredtoattain adsorptionequilibriumatthe potential ofmaximum adsorptionwas about4hforthe mostdilute alcohol solutions and30 min for the saturated solution.

After attaining these equilibrium conditions, the dif-ferentialcapacitywas measuredover thewholepotential rangewithouthavingtoestablishanyfurther equilibrium conditions. Inthe adsorption measurementsofisobutyl

alcoholfrom0.05MNa2S04, the Ag single crystal faces

were electropolishedanodicallybeforeuse:13thisprocedure

yielded reproducible positive desorption peaks and ap-parentlyreducedthetimerequiredforadsorption equi-librium to 30min forthemostdilutealcoholsolutionsand to 10min for themost concentrated ones. Comparable timeswere requiredforro-pentanol adsorption from0.1

MKFon Ag singlecrystals grownelectrolytically in Teflon

capillaries.14 TheabsolutevalueoftheGibbsadsorption freeenergy ofn-hexanol12was foundtobeslightlygreater

on

Ag(l

11)thanon Ag(100)(AG°m= —24.6kJmol-1and

AG°ioo= —23.0kJmol-1) whereasan

oppositetrendwas reportedforn-pentanol14 (AG°m = -15.0 kJmol-1 and AG°ioo= -15.8 kJmol-1). Theauthors explainedthe slow attainment ofadsorptionequilibriumwhenshiftingthe potentialfrom negative valuestothepotential ofmaximum

adsorption by a slow adsorption on the growth stepsof the silver surface. However, such a slow adsorptionis

apparently inconsistentwiththe sharpandhigh adsorp-tion-desorptionpeaks reportedby the authors on both

sidesofthe flat differential capacityminimum.

Experimental

Section

The water usedwas obtained frombottledlightmineralwater bydistillingit once andthendistillingthe water so obtained

from acidic permanganate, while the heads were constantly

discarded. MerckKC104was recrystallized twice frombidistilled

waterandthendried. Fluka analyticalreagent grade n-hexanol

was distilled inan atmosphereofnitrogenbeforeuse. The alcohol concentrationswas varied only from3.46x 10-3to3.46x 10-2

Mbecausefor lowerconcentrationsthe capacitance—potential

curves ofthe base electrolyte are not altered by addition of n-hexanol(NHEX),andno higherconcentrationswere studied

becauseof solubility limits in0.05MKC104. Thesolutionswere

freshly prepared just before the beginning ofeach series of measurements.

The working electrodesused in this work were cylindrical

silver single crystals grown accordingtotheBridgeman technique inagraphitecrucible, oriented by X-rays andcut15either inthe Laboratoire d’Electrochimie Interfacialedu ONESin Meudon-Bellevue (France)or inFlorence, Italy. Theseelectrodeswere

polishedwith successivelyfinergradesof aluminapower down to 0.05µ and thenannealed in a muffle furnace at normal

atmospheric pressurefor30minat650 °C. Allelectrochemical measurements were carried out in Florence. Before each

experiment the electrode was polished chemically with CrOa

according to the procedure describedinref16. Afterpolishing, the electrode surfacewas soakedin concentratedsulfuricacid

forabout20minandthen rinsed thoroughly withwater. The hangingsolutionmethod17was employed. Thecylindricalsingle

crystalelectrodewas held byaplatinum wiresealedintoaglass

tube, whichwas secured toamovable stand; thelatterwas moved

(15)Hamelin, A. In ModernAspectsofElectrochemistry; Conway,B. E.,White,R. E.,Bockris,J.O’M.,Eds.;PlenumPress: New York,1985;

Vol. 16,p 1.

(16)Hamelin, A.; Stoicoviciu, L.; Doubova, L; Trasatti, S. J. Electroanal. Chem. 1988,244,133.

(17)Dickertmann,D.;Schultze, J. W.; Koppitz,F. D.Electrochim. Acta, 1976, 21, 967.

upor downatan adjustable rate bymeans ofan oleopneumatic

pistonwhich ensured the complete absence of vibrations. A pressuregauge connected to theoleopneumatic systempermitted

us to reproduce theoptimum rate (1.5 mm/s). The standwas

connected to a digital position sensor, which permitted us to estimatea0.1mm verticalshift ofthestand. Bythissystem the vertical position oftheelectrode, andhencethe meniscusofthe

hangingsolution, couldbereproducedwith a highaccuracy.

Thecellwas water-jacketedandthermostatedat25 ± 0.2 °C.

A gold coilwas used as a counter electrode and an external

saturatedcalomel electrode (SCE) servedasthe reference. The

four-electrode potentiostaticsystembyHerrmannetal.18was

employed to minimize the noise. The wholly computerized instrumentation fordifferentialcapacity and charge

measure-mentsisdescribedinthe next section; positive feedbackcircuitry

was utilizedto compensateforthe electrolyte resistance. Before carryingout adsorption measurements, the state of the electrode surfaceincontactwithan aqueoussolution of0.05

MKCIO4,previouslypurgedwith argonforabout30min,was checkedbyrecording thecurve ofthedifferentialcapacityvsthe

appliedpotentialat20 Hzofacmodulation. Measurementswere

carriedoutonlyuponascertainingthequantitativeagreement ofthesecurves withthese reported in the literature.19 Each set

ofdifferential capacity-potential curves and charge

measure-mentsatdifferentalcoholconcentrationswas carriedoutwhile

the singlecrystalfacewas maintained inconstant contactwith the solution through the meniscus. To this end the alcohol concentrationin thecellwas increased progressively by adding

deaerated alcohol froma Hamilton microlitersyringeintothe previously deaerated aqueoussolutionof0.05 MKC104. The plunger ofthesyringewas fastenedtightlytothe rodofa

digital-display micrometerscrew of0.005mm pitch. Themicrometer

screw was held byamovablestandwhich permittedthe syringe needle tobeloweredintothesolution duringtheadditionand raisedabovethesolutionjust aftertheaddition. Beforeentering thecell,the argonusedforthedeaerationwas bubbledinavessel

containingasolution ofthesame compositionasthat inthe cell;

thisprevented bothachangeinthe alcoholconcentration in the

cell and a decreasein thelevel of the solution surfacewhich wouldhavealtered theshapeofthemeniscus. Aftereachaddition ofthe alcohol, thesolutionwas stirredmildlywith amagnetic

stirrer foratimelong enough toallow its completedissolution

(~20 minfor the concentration atsaturation,~4 x 10-2M). For

an accurate estimate of the stirring time necessary for the dissolution of the alcohol, charge vs potential curves were

previously recorded on a pressurized static mercury drop electrode20at increasingstirringtimesuntilaconstancy in these curves was attained. Argonwas bubbledintothesolutionunder studyforafewminutesaftereachadditionofthealcohol,whereas it was flowedover the solution during itscompletedissolution

in thesolutionandthe subsequent measurements. Aftereach

addition,thedifferentialcapacity and the capacitive chargewere

recordedin successionas a functionofthe appliedpotential.

Results

Differential

Capacity.

Thecurves ofthedifferential capacity(C)againstthe appliedpotential(E)were recorded

assuminga simple series RCequivalentcircuit and are

showninFigure 1;an ac signalof20Hz and 5 mVrms was superimposedon thedcvoltageramp. Inagreement

withthe literature19 thecurve ofthesupporting electrolyte

showsa minimum duetothecontributionofthediffuse layerat-0.746 V. Atthe lowchosen KC104concentration

specific adsorption of this 1,1-valent electrolyte in the

proximity ofthe minimum is negligible, and hence the

potentialoftheminimum correspondsto thepotentialof zero charge (pzc).

The lowest concentrations of NHEX cause a modest

depressionofthedifferentialcapacity inthe neighborhood oftheminimum; thisdepressionisclearlynot compensated

(18)Herrmann,C. C.;Perrault,G. G.;Konrad,D.;Pilla,A.A.Bull.

Soc.Chim. Fr. 1972, 12, 4468.

(19)Valette,G.J.Electroanal.Chem. 1989,269,191.

(3)

E/V(SCE)

Figure1. Thefirstcurve, as countedfromtop tobottomover

the intermediate potential region, is theCvs Eplot for the

interfacebetween

Ag(lll)

and aqueous 0.05MKCIO4in the

absence of NHEX; the successive curves are relative to

progressiveadditionsof NHEXfrom3.46x 10'3 to3.46x 10“2M by log(c/M)incrementsof0.1.

for by an equivalent increase with respect to the dif-ferentialcapacityofthesupporting electrolyteon thetwo

sidesoftheminimum,although theCvs Ecurves for all the NHEX concentrations exploredmerge with that of

the supporting electrolyteat potentials negativeof -1.3

V and positive of -0.3 V. Although thermodynamic analysis couldbedonefromcapacitance dataextrapolating experimental results to 0Hz, some qualitative findings are drawn fromcapacitancedataobservedfrom5to150 Hz. If we integrate the Cvs E curves (20Hz) starting

from any ofthesetwo extreme potentials, whereNHEX

desorptionis complete,andwe forcetheresultingcurves

ofthechargedensityom vs Etocoincide atone ofthese

twoextremes,theywillnotcoincideon theother extreme. This behaviordenotesan irreversibleadsorption and/or an adsorption—desorptionstepwhichis slowin thetime

scale of(20 Hz)'1. In what follows, evidence will be

providedbychronocoulometrythatirreversible adsorption

ofNHEXmoleculestakesplaceonly at the lowestNHEX

concentrations,whileaslowdesorption ofthesemolecules at positive potentialsoccurs atall NHEXconcentrations

explored.

As the NHEX concentration (c) is progressively

in-creased,thedifferentialcapacityminimumbecomeslower

and broader, while well-defined desorption peaks of

increasingheightdevelopon thetwosidesoftheminimum.

The differential capacity minimum in the presence of NHEXisslightlyshiftedon the negativesidewithrespect

to the pzc in the absence of NHEX. The frequency dispersion is small in the proximity ofthe differential

capacityminimum,whereas it increases notably at the

desorption peaks, as expected. Therefore, the capacity data cannot be usedfor a quantitative investigation of the adsorption of NHEX.

ChargeMeasurements. Capacitivecharge

measure-ments by the chronocoulometric techniquewere carried outbyholding the appliedpotentialatan initial value(E)

atwhich the soluteis adsorbedforatime longenough to attain adsorptionequilibrium;the appliedpotentialwas thenstepped toafinalvalue(Ef)atwhich desorptiontakes placerapidlyand completely,i.e.thecurrent [¿(i)]following

this potential step is zero after a few milliseconds. Electronic integration of this transient yields the cor-respondingcharge [Q(i)]. The experimental strategy in charge measurements is describedthoroughly in refs21

(21)Foresti,M.L;Moncelli,M.R.;Aloisi,G.;Carla’,M. J.Electroanal.

Chem. 1988,255,267.

and22for measurements atamercury drop andinref23

formeasurements on solidelectrodes.

Themethodcan be successfullyappliedif no faradaic

process takes place at theEf,whichisgenerallyan extreme negativeor positive potentialchosenoutsidethe potential rangewherethesubstanceunder studyisadsorbed. Then thecontribution tochargeis purelycapacitive.

It should be noted that no correction for a faradaic

contributioncan beregardedas entirelysatisfactoryif a

disturbing electrode process yields a product which is adsorbedon theelectrode surface, thusinterfering with the adsorption of the substance under investigation.

However, the faradaic complicationcan beovercome not only in thetrivial case in which thedisturbingfaradaic

process is slowin thetimescale adoptedbutalsoin the

more significantcase inwhich theprocess is notdiffusion

controlled and hence gives rise to a constant current density. In thiscase theresultingQ(t) increaseslinearly in time and a linear extrapolation to t = 0 corrects

satisfactorilyforthe faradaic contribution, providedthat

thelatter contributionisnegligibleduringthe very short time

(1-2

ms)requiredfortheimposedpotentialtoswitch from theinitial tothefinalvalue.

ForeachNHEXconcentrationinvestigatedtwodifferent chronocoulometric measurements were carried out in

sequence: withboth measurements theinitial potential

(E)was varied between-1.3 and-0.3 Vby20mVsteps,

butthefinal potential(Ef)was setalternativelyequalto

-1.2 and -0.1 V. The time required for attaining

adsorptionequilibrium at£ undermild stirringwas found

tobelessthan10sover the whole rangeofpotentialsand NHEX concentrations investigated. Hence each mea-surementwas carriedoutby

stirring

the solutionat each E value for 10 s, blocking the

stirring

2 s before the

potentialstep£ —

Ef,holding thepotentialatEffor100 ms, andthen steppingthepotentialback to thenew initial valueof£. Thiscyclewas repeatedundercomputer control

untilthewhole rangeofEvalueswas covered. The charge

Q(E,t)was sampled at 1 ms intervals startingfrom the

instant t = 0ofeach

potentialstep(E —

Ef). The time

requiredforattainingadsorptionequilibriumismuchless thanthatreportedbyVitanov andPopov12for thesame

system.

By properadjustment ofthepositivefeedbackcircuitry,

the charge Q(E,t) following the potential step E —

Ef

attained a practicallytime-independent value in a few millisecondswhen Efwasset equal to

-0.1V;

thisindicates that no detectable faradaicprocessesoccur at this final

potential in the 100 ms time window (see Figure 2). Conversely,the Q(E,t)vs tcurves recordedbysettingEf

= —1.2 V exhibit a

slight constant slope due to a mild hydrogen evolution whichoccurs at-1.2 V. Atany rate,

the correction for this faradaic contribution by linear

extrapolation ofQ(E,t) to t = 0is

quite accurateand is entirelyjustified in view ofthelackof hydrogenadsorption on silver. Theextrapolation tot= 0oftheQ(E,t)values

sampledover thetime interval fromt= 50to100ms after

thepotential stepE—·

Efwill be denoted by Q(E

Ef).

Figure3showsthe Q(E—* Ef)vs Ecurves obtained in

0.05 M KCIO4 by setting Ef equalto —0.1 and —1.2 V,

respectively. Both curves were converted into ctm vs £ curves by settingQ(EEf)

equalto zero at the pzc as estimated from the minimum ofthe corresponding

dif-ferentialcapacitycurve. It isapparentthatthetwocurves overlapexactlyover abroadintermediate potentialrange,

whiletheydiffersomewhatattheextreme potentials. In

(22)Foresti,M.L.;Pezzatini,G.;Monteagudo,J.C. G.J.Electroanal.

Chem. 1990,295,251.

(4)

Adsorption Behaviorof

Ag(lll)

Figure2. PlotsofAQvs tfor0.02MNHEX in0.05MKC104.

Thecurves refertodifferent initial potentials,E, andone final

potential,Ef= -0.1 V. Dashedcurves referto

potentialsat which hydrogen evolution interferes andwere therefore dis-cardedin our analysis.

E/V(SCE)

Figure3. Plotsofctmvs Efor0.05MKC104intheabsenceof

NHEXobtainedas describedin thetext atan

Ag(lll)

single

crystal electrodewhichhad beenworking fora long time by

settingEf equal to-0.1 V(dashedcurve) and to—1.2V(solid curve).

particular,the absolute valuesofom are greater for Ef= -0.1

Vthanfor£f=

-1.2V at themore negativepotentials, whereas theyare smaller at themore positivepotentials. This behaviorcan beexplained by considering the wayin

whichtheseOmvalueswere obtained. Whenthe electrode

isheld at themore negativesvaluesfor10s,adetectable amount ofhydrogen is formedat its surface: if we step thepotentialto afinal value Ef= —1.2V,thishydrogen

will remainunaltered,but if we stepthepotentialtoEf

= —0.1 V, it will be

instantaneously reoxidized, thus increasing slightly the positive charge Q(E— -0.1 V)

involved this step with respect to its pure capacitive

contribution. In addition, the high OH™ concentration createdattheelectrodesurfaceentailsan increasein the

measured charge, due toOH™adsorption.24 Inthisrespect theay¡values atthe more negativepotentials are more reliableif theyare obtainedbysettingEf= —1.2V. On

the otherhand,whenthe electrode iskept atmore positive E values for10s,aslightamount of silveroxideisformed on itssurface: if westepthe potential toE¡= -0.1 V,this

oxidewill remain unaltered; in addition,more oxidewill

be formedduringthe holding time at —0.1V (100 ms).

However, if we step thepotential to Ef = —1.2 V, this

oxide will be instantaneouslyreduced,with a resulting

slight increase in the negative charge Q(E— —1.2

V) involved in this stepwith respect to its pure capacitive contribution. In this respectthe ctmvalues at the more

(24)Hamelin,A.;Morin,S.;Lipkowski,J.J.Electroanal.Chem.1991, 304, 195.

Langmuir, 11,No. 2,

positivepotentialsare determined convenientlybysetting

Et=

-0.1 V.

Whenstartingfroma freshlyprepared single crystal

electrode or from an electrode entirely restored by

mechanical polishing and annealingofthesinglecrystal face,we haveconstantlyobservedthat thediscrepancies pointedout in Figure3increasewith the repeateduse of theelectrodein adsorptionmeasurements ofthealcohol.

Thus, a freshly prepared electrode or an electrode

em-ployedin onlya fewseriesofadsorptionmeasurements

wouldyieldom vs Ecurves ofthesupporting electrolyte as obtained by thetwodifferentprocedureswhich practi-callycoincidedover the wholepotentialrange from—1.3

to-0.3 V: thetwocurves in Figure3 were indeedobtained atan electrodewhich had been used for several setsof

measurements. The above experimental observations

stronglysuggestthatthe repeateduse ofasilversingle crystalelectrodein measurementsofspecificadsorption increases the density ofsurface defects which are not completelyremovedby the chemicalpolishingwith CrOg and which constitute preferential sites for hydrogen

evolution and surface oxide formation. Therefore, the experimental data reported herein where obtained on

electrodeswhichwere either freshly preparedor hadbeen employedinno more thanthreeor four seriesofadsorption

measurements.

AnincreaseintheNHEX concentrationcauses amodest butappreciableincreasein therate ofhyrogenevolution at E values negativeofca. —1.15V, as indicatedbythe

increaseintheslopeofQ(t)vs t curves obtained by stepping

to thesepotentials. Agradualincreasein c also causes an incipientincrease andthena decreasein the rate of oxideformation atEvalues positiveofca. —0.4V. Thus, thechargedensitiesQ(E—· -12 V) obtainedatthelatter

E values first increase slightly over the corresponding

charge values for the supporting electrolyte alone and

thendecrease: thisbehaviordenotesan increaseandthen adecreasein the faradaiccontributionto Q(E— —1.2

V)

due to surface oxide formation. Since at potentials

negativeof—1.15Vandpositiveof—0.4Vthedifferential

capacitycurves of Figure 1pointtoan almost complete desorptionofNHEX, theaboveeffectsare probablytobe ascribed to the catalytic action of alcohol molecules irreversibly adsorbedon the surface defects existingon the electrode surface. This hypothesis is supported by

the observation that the lowest NHEX concentrations

depressthe differentialcapacitycurves in the region of theminimum (seeFigure 1),while theydonot increase

themon thetwo sidesoftheminimum: this suggeststhat

the lowest NHEX concentrations tend to saturate the

surface defects almost completely, while adsorption on the terracesisstill quitelow. Furtherevidencein favor

ofthisinterpretationisprovided by theeffectofthefirst

NHEXadditions, performed by regularlogarithmic incre-ments logc ^ 0.1,on thecurves oftheabsolute charge

density(om)against E andon the correspondingcurves

oftheinterfacialtension(y)againstE: thefirst addition of NHEX causes a change in um (see Figure 4) and a

depressionin ywhichare greaterthanthose producedby thesubsequentaddition. Thishasledus to discardthe

ctm vs E curve of the supporting electrolyte in the thermodynamic analysis of the experimental data.

We already stated that the charge densities

Q(E— —1.2V)are not

complicatedbyhydrogenevolution

at extreme negative potentials, whereas the charge

densitiesQ(E—0.1

V)are not complicatedby surface

oxideformation at extreme positivepotentials. In view ofthese observatons,the following strategywas adopted

to obtain reliable vs Ecurves at the differentNHEX concentrations. The two curves ofQ(E—0.1

(5)

Figure4. In passingfrom the steepest totheflattest curve over theintermediate potentialregion,thefirstcurve istheau vs E plot for the interfacebetween

Ag(lll)

and aqueous 0.05 MKCIO4in theabsenceof NHEX; the successivecurves are

relativeto progressiveadditions of NHEX from4.35 x 10-3to 3.46 x 10~2Mby log(c/M)increments of0.1.

and ofQ(E—* -1.2 V)vs E relativeto thesame c value

were first shifted along theverticalaxiswith respectto

eachotherso astoput them incoincidenceover thebroad

intermediatepotentialrange fromca. —1.0toca. —0.6V.

Atpotentials negativeofthis range,where thetwocurves

diverge,only theQ(£—· —1.2

V)vs Ecurve was retained;

conversely, at potentials positive of this rangeonly the

Q(E— —0.3

V)vs Ecurve was retained. The Q(E)vs E curve for the supporting electrolytesoobtainedwas then convertedinto the corresponding curve ofthe absolute

chargedensityom vs EbysettingQ(E)equaltozero atthe

pzc,asestimated from theminimum inthe corresponding

differential capacitycurve. All other Q(£) vs E curves

relativeto thevariousNHEXconcentrationswere finally

made to coincidewith that ofthe supporting electrolyte at themore negativepotentials,whereNHEXiscompletely

desorbed. Figure4shows awholesetofum vs E curves obtainedbythisprocedure. Allthesecurves intersectat

asingle point,whosecoordinateslocatethecharge,om=

—1.65

µ

cm-2, and the potential, Em = —0.788

V, of maximum adsorption. Unfortunately,even byfollowing

this procedure, thecurves do not merge at —0.3 V, but rathertheyrun almostparallelover theextremepositive potentialrange explored. Thisagreeswiththedifferential

capacity curves of Figure 1 coinciding over the same

potentialrange. This behaviorisprobably ascribable to a slowdesorption in the time scaleof100 ms as we step

to the positivefinal potential Ef= —0.1V.

Incidentally,

aslow desorptionatpotentials positivetothe adsorption regionhas beenreportedforethyl etheron

Ag(lll)

and

Ag(100)byHinnenet al.11 andfor ferf-pentylalcoholon Au(111)byRicheretal.9 Sincethe vs £curves obtained

with E{= —1.2

V, at which potential desorptionis fast, are almost exactly superimposableon thecurves obtained

with

£f

= -0.1 Vover the potential range fromca. -1.0

to ca. —0.6 V, we are led to conclude that the rate of desorptionfollowingapotentialstep£— —0.1Vdecreases

progressively andrapidly with a decreaseinthewidthof

this step. For the above reasons, results obtained at

potentials positiveto-0.6 V willnotbetaken intoaccount

in the further datatreatment.

Thermodynamic Analysis.

The thermodynamic

analysis oftheexperimentalcurves ofomvs £was carried

out by an entirely numerical procedure25 using molar concentrations in place of activities; such a tactic is expected to produce a practicallynegligibleerror at the (25)Carla’,M;Alois!,G.;Foresti, M.L;Guidelli,R.J.Electroanal.

Chem. 1986, 197, 123.

relativelylowNHEXconcentrationsinvestigated.26 The

surface excesses F(£,c), were obtained by numerical differentiationwithrespect to Incoftheinterfacialtension

valuesy(£,c). Thesecurves were obtained byintegration

withrespect to£ ofthedirectlymeasuredom(£,c) values. Incalculating the isothermsat constant charge, Parsons’

function

( , )

=

+ ay¡Ewas first obtained. The surface excesses T(um,c) were then calculated by numerical

differentiation of|(ctm,c)with respect toInc.

Theparameters forNHEXadsorptionon

Ag(lll)

from

aqueous 0.05MKC104are summarized in Table1,where

they are compared with the parameters for NHEX adsorptionon Hg fromaqueous0.1MNaF.27 The charge,

am, andthe potential,£m,ofmaximum adsorptionwere determinedfrom thecoordinatesofthecommon intersec-tion point ofthe om vs £ plots. The maximum surface concentration, Fm, was determinedfrom the adsorption isotherm at£m, whichshowsadistinct

limiting

value(see

Figure 5). The differential capacity Ci at maximum

coveragewas obtainedfrom the interceptofplotsofthe differentialcapacityCat£ = £m

against on the = Fm

axis, as describedin ref28. Thepotential ofzero charge

at maximum coveragewas obtainedbydetermining the interceptson thectm= 0 axisofthelinearsectionsofthe

vs £ plots about £ = £m at alcohol concentrations corresponding to =

I7Tm values greater than 0.5, by plottingtheseintercepts against andbymeasuring the

interceptoftheresultingploton the 0=1 axis. Theshift

£n ofthepotentialofzero chargewhen passing from =

0 to 1 was then obtained by subtracting the potential

charge at maximum coverage so obtained from the

potential ofzero charge,-0.746 V/SCE,in theabsenceof the surfactant.

The standard Gibbs energy of adsorption at zero

coverage,AG°ads,as a functionoftheappliedpotential£

was obtained by

fitting

the experimental isotherms at constant potentialto the Frumkin isotherm:

553 expl~

-RT)=

expfoil1 (1)

whereaistheFrumkininteractionfactor. ValuesofAG°ads anda were thus obtained from the intercepts andslopes

oftheleast-squaresfittingstoa straight lineof

ln[c(l

0)/0]vs plots at constant £, over the range from0.2 to0.7. Figure6showsaplotofAG°adS vs £,whereasthe

AG°adsanda valuesat £ = £mare

reported in Table 1.

This table also reports values ofthe coefficients fcE =

3(AG°ads/RT)/d(E

-£m)2 for the quadraticdependenceof

the standardGibbsenergyofadsorption upon(£

-£m),

the superscripts + and —

denoting whether the

least-squares

fitting

toastraight linewas made atnegativeor positive valuesof(£—

£m). This

fitting

was confinedto thelower(£

-£m)2values,whenever appreciable

devia-tions fromlinearbehaviorwere observed athighervalues.

Theadsorption isothermat constant charge obtained

at = am is

practicallyidentical tothe corresponding

isothermat constantpotentialobtainedat£ = £m. This

is the obvious consequence of the independence ofthe

intersection pointoftheomvs £ curves upon thealcohol concentration, which causes the potential £ to remain

practicallyconstant at£mwhenauiskeptconstant atom. (26)Moncelli, M.R.;Foresti, M.L;Guidelli,R.J.Electroanal.Chem. 1990,295, 225.

(27)Foresti, M.L;Moncelli, M.R.J.Electroanal.Chem.1993,348,

429.

(28)Moncelli, M.R.;Foresti, M.L.J.Electroanal.Chem. 1993, 359, 293.

(6)

Adsorption Behaviorof

Ag(lll)

Table 1. Parameters for NHEXAdsorptionon

Langmuir, Vol. 11, No. 2,

Ag(lll)

from Aqueous0.05MKCIO4and on Hg from Aqueous0.1M NaF parameter

Ag(lll)

(this work) Hg27 parameter

Ag(lll)

(this work) Hg27

10"10rm/mol cm"2 2 3.4 (AG°ada)min/kJmol"1 -18.4° -23.8“

A/nm2 0.49 GE(E—

Em) ~ -2.9 -2.6

am/pCcm"2 -1.65 -1.9 ¿>E+/V"2 35 10.8

EJV(SCE) -0.788 -0.520 Z>e"/V"2 28 8.1

Ci/µ cm"2 14 6.2 6t7+/cm4pC~2 0.037 0.029

Fn/V 0.060 0.185 ba~!cm4 pC~2 0.023 0.021

0Thestandardstate for the solventisthe pure solvent, and that for the soluteisthe hypothetical ideal puresubstancein bothbulk

andadsorbedstates.

Figure5. Plotsof vs logcatconstant ErelativetoNHEX adsorptiononAg(111)fromaqueous 0.05MKCIO4 forEvalues equal to-0.780 (a),-0.860 (b),-0.700 (c),-0.660 (d),-0.940

(e), -0.620 (f), -0.980 (g),and -1.020 V(h).

Figure7. Plotsof vs logcat constant ctmrelativetoNHEX

adsorptionon Ag( 111)from aqueous 0.05MKCIO4 foromvalues

equal to-2 (a),0(b), -4 (c),1 (d),2 (e), -6 (f), 3(g),-7 (h),

—8(i), and -10

µ

cm 2 (j). 1 -15 -i -19 ¡-1-1- -!-1--1 -0.8 -0.6 E/V(SCE)

Figure6. PlotofAG°adsvs EforNHEX adsorptionon

Ag(lll)

fromaqueous 0.05MKCIO4.

TheAG°adsanda values atthe constantcharge =

om as obtained from the interceptand slope ofthe

ln[c(l

)/ ]

vs plotat om are thereforepractically identicalto

the corresponding values at the constant potentialE =

Em. However,as we depart from thechargeofmaximum

adsorption, am, the vs logc plots at constant charge densitytendtoan apparentlimitingvaluewhichdecreases progressivelywithincreasing|ctm

om|,as shownin Figure

7. This behavioroftheadsorption isotherms at constant chargeas compared tothat oftheisotherms at constant

potential is observedforpractically all simple aliphatic compounds (see, for instance, the vs log c curves at

constantsandamfor n-pentanol adsorption fromaqueous

0.5 M Na2SC>4 in Figures 3 and 4 of ref 26). As a

consequenceof this behavior, the

ln[c(l

)/ ]

vs plots

at constantchargeas obtained bysetting = r/Tm,with

Fmderived from the adsorption isothermatam= am,show increasing deviations from linear behavioranda

progres-sive decreaseinthe averagevalue of their slopewithan

increasein |ctm —

am|. Due to theselarge deviations,no

attemptwas madetoestimateFrumkininteractionfactors

aatconstant chargeforchargesam ^ am. Moreover,AG°ads

values at constantamwere obtained bylinear extrapolation

Figure8. PlotofAG°adsvs amforNHEX adsorption on

Ag-(111) from aqueous 0.05 M KCIO4. The dashed curve was

calculatedas describedinthe text. to = 0ofthelower portionof ln[c(l

)/ ]

vs plotsat

constantcharge, i.e.the portion from = 0.1to0.4. Figure

8 showsaplotofAG°adsvs crM. Table1 reports valuesof

the coefficients ba = d(AG°a¿s/RT)/d(am

-am)2 for the quadratic dependence ofthe standard Gibbs energy of adsorptionupon(am~

om),where the superscripts+ and

— denote

whether the least-squares

fitting

toa straight

linewas madeat negativeor positive valuesof

(

-am).

Theratios (6±e/5±0)1/2are in the range from 31to35µ¥ cm-2andare thereforerelativelyclosetothedifferential

capacity Co ofthe Ag(111)/electrolyte interface in the absenceofsurfactants, inaccordancewith predictions.26

Discussion

TheTmvalueforNHEXon

Ag(lll)

isappreciablyless

thanthe value, «3.95 x 10~10molcm"2,correspondingto full coverageofNHEX, calculatedformoleculesin a flat

orientation, area = 0.42 nm2, on the basis ofa

space-filling

model.26 In contrast, the experimentalTm value forNHEXadsorptionon mercury as reported in Table1

(7)

Table2. Standard GibbsEnergyofAdsorption (kj mol-1) ofNHEX at Metal/Water Interfaces at the

Potential of Maximum Adsorption

Hg Bi Sn In(Ga) Cd

Ag(lll)

Zn Ga

-23.8 -21.2 -21.1 -20.2 -19.4 -18.4 -18.3 -17.6

water moleculeswhichremainadsorbedon silverwhen

reachesits

limiting

value points toahigher

hydrophi-licity

of this metal with respect to mercury. Further

evidence in favor of this conclusion is provided by the muchmore negative standardGibbsenergy ofadsorption

ofNHEXon Hg, -23.8 kJ mol-1.27 As a matter offact, the standard Gibbs energy ofadsorption, AG°adS, of a

neutral compoundwhich interacts weakly with metals can beusedas ameasure oftheirhydrophilicity,sincethe main difference in AG°adswhen passing fromone metal

toanothercan thenbe ascribedto the difference in the energyrequiredtodesorbthe watermoleculeswhich must makeroom for the adsorbingcompound. Table2 sum-marizesAG°adSvaluesforNHEXadsorptionfrom aqueous

solutions on various sp metals as well as on

Ag(lll).

Taking intoaccountthatanincrementinthehydrocarbon chain length ofre-aliphatic alcoholsbyone

-CH2-

group

is accompaniedbya roughlyconstant increment in the negative valueofAG°ads,theAG°adsvaluesforNHEXon

spmetalsinTable2were obtainedbylinearextrapolation

ofthecorresponding values for re-propanol, re-butanol, and re-pentanolavailable intheliterature (seeref 29forGa, ref27 for Hg, andref30forall othersp metals). It can

be seen that, accordingto this hydrophilicity scale,

Ag-il

11)isnearlyashydrophilicas gallium,andhenceturns out to be one ofthe most hydrophilic metals. A more detailed discussion is given in ref31 for the (100) and (110)silver faces.

Thedifference inbehavioroftheadsorption isotherms at constant chargein Figure 7 with respectto those at

constant potential in Figure5agreeswiththe predictions of a three-dimensional lattice model of TIP4P water molecules andofpolar dimeric solutemolecules against

a charged wall, recently developed in our laboratory.32

The model, which does not make use of molecules, represents solute molecules as dimers consisting ofa nonpolarsegment,which simulates avery short hydro-carbon chain, and ofa polar segment,which simulates the polar head. This model predicts that the surface

concentration,

,

at constant charge increaseswithlogc, tendingtoan ill-defined apparent

limiting

valuelessthan

Tm, whichislower the more the chargedeparts from its value ofmaximum adsorption, am. This behavior32 is explainedby the factthatthe localelectricfield anchoring the water molecules totheelectrode surface consists of

theexternal field 4 plusthe additional polarization field

created by the neighboring water molecules,whichacts

in the directionopposite totheexternal electric field.As

the surface coverage increases, the polarization field decreasesaccordingly,andhencethe localfieldatconstant

charge increases in absolute value, approaching 4 . Hence,theresidualadsorbed water moleculeswillbeheld in the adsorbed state by the localfieldmore

tightly

the higheris6;this explains theattainment ofan apparent

limiting

valueofthe surface coverage,albeit ill-defined,

whichdecreaseswith increasing| |. No suchabehavior

ispredicted when it isthe applied potential E whichis

(29)Pezzatini, G.; Moncelli, M. R.; Innocent!, M.; Guidelli, R. J. Electroanal.Chem. 1990,295,275.

(30)Trasatti,S.InModernAspectsofElectrochemistry, Conway, B.

E.;Bockris,J.O’M.,Eds.;PlenumPress: New York,1979;Vol13,p81.

(31)Foresti, M. L.; Innocenti, M.;Guidelli,R.J. Electroanal.Chem. 1994, 376, 85.

(32)Guidelli,R.;Aloisi,G.J.Electroanal.Chem. 1992, 329, 39.

heldconstant. Infact,theimposedconstancy ofErequires agradual decreasein theabsolutevalueoftheexternal electric field4 withincreasing ,inordertocompensate for the gradual decrease in the absolute value ofthe counterfieldproducedby theadsorbedwater molecules. Therefore, at constant E the progressive increase in

doesnotcause the residualadsorbedwater molecules to

bemore stronglyanchored to the surface as in the case

ofconstantom, andhenceFmturns outtobepractically

independentofE. Thepenalty whichone hasto pay in using theaboverefined three-dimensionallatticemodel,

whichdoes notmakeuse ofadjustableparameters,32 is the difficulty of predicting the adsorption behavior of

re-aliphaticcompoundshavingalong hydrocarbon chain,

due to the notable increase in the complexity ofthe

statistical mechanical treatment ofthe model with an

increaseinthenumberofmonomeric segments composing

the solute molecule.

For a quantitativecomparisonbetweenexperimental behavior and modelistic predictions, we shall adopt anothermodel ofadsorbed water monolayer and solute

moleculesin whichthe water moleculesinteract witheach

othervia H-bondsand dipole—dipoleforces,whereas solute molecules interact with each other and with water

molecules via dipole—dipole forces only.33 This model makesuse oftwoadjustableparameterstofitexperimental

results, namely the number(re) ofadsorbedwater

mol-ecules displaced by one adsorbing solute molecule and

thenormal component(mn) ofthe dipole momentofthe

adsorbed solute molecules. Theunknownvaluesofreand

µ are obtainedfrom the experimental valuesofamand

ba~bymakinguse ofacalculatedplotoftheµ /reratiovs omtoobtain

µ /

andthenofcalculated plotsofµ /revs ba~ at differentrevaluestoobtainre.26-34 Inthe present

case (NHEX) the estimated valueofthe

µ^/

ratioisclose to -0.3 D. Confining ourselves to re values which are

multiples of0.5,theresultingrevalueequals4,andhence

coincideswiththe valueestimatedforNHEXadsorption

on Hg26 on the basis ofthe same model. This re value

compliessatisfactorily with the surface area, 0.42 nm2,

estimatedforaNHEXmoleculeinaflat orientationwhen we considerthatthearea projected byone adsorbedwater

moleculeis closeto 0.10 nm2. Thisresult supports the

point ofviewthat theNHEXmolecules are adsorbedin a flat orientationon

Ag(lll)

aswellas on Hg,atleast at low surface coverages; moreover, their dipole moment

normalcomponent(mn)isapproximatelythesame on both

electrodematerials. Thenegativevalue

ofµ

impliesthat

theNHEXmoleculeis adsorbedwiththe positiveendof

itsdipoletowardthe metal;thisjustifies thepositive value of60mV fortheshiftEnofthe pzcwhen passing from = 0to1,alsoinviewofthefactthatthewater dipolesare

expected toturn theirnegative endtoward the metal in the proximity ofthepzc.

Themodel adopted herein forthe estimate of theµ andrevalues33predictsan adsorption behavior at constant

chargewhichisinfairlygoodagreementwith theFrumkin isothermofeq1,atleast for < 0.7. Hence,

fitting ln[c(l

)/ ]

vs plots calculated from the modelto a straight

lineover the range from0to0.7yieldsan intercepton the6= 0axiswhichmeasures the standardGibbsenergy

ofadsorption at zero coverage, AG°adS, apart from an additive constant;moreover, theslopeofthisstraightline

providesavalue for theinteractionfactorotobecompared

with the experimentalone. The dashedcurve in Figure

8 isaplot ofAG°adsagainsta calculated from themodel

forµ /re= —0.3Dandre= 4;this curve was shiftedalong (33)Guidelli,R.;Foresti, M. L.J.Electroanal.Chem.1986,197,103.

(34)Moncelli, M.R.;Pezzatini,G.;Guidelli,R.J.Electroanal.Chem. 1989, 272, 217.

(8)

Adsorption Behaviorof

Ag(lll)

Langmuir, 11, 2, 1995

theverticalaxisso as toobtainthebestoverlapwiththe correspondingexperimentalcurve. Theavaluecalculated

from the model,

-3.7,

is somewhat greater than the corresponding experimental value.

Thedifferentialcapacity Ci at maximumcoverage on the

Ag(lll)

face, 14pF cm™2, is relatively high when

comparedwith the corresponding valueon mercury, 6.2 pF cm™2.27 This higher C\ may be due partly to the

presenceofsurface defectswhichincreasethe realarea

oftheelectrode surfacewithrespect to thegeometricarea. However, theratio ofthesetwo areas is expected tobe hardlygreater than l.l.35 Afurthercause oftheincrease

ofCi in passing from Hg to Agis due tothefactthatthe

water content intheadsorbedfilmatmaximumcoverage isgreateron Agthanon Hg. Thus, thepresenceofwater

in the adsorbedmonomolecular film may increase the

distortional dielectric constant (e) ofthefilm36·37and/or

decreaseitsaveragethickness(ó):22·38botheffectstendto

increase Ci in view ofthe well-known expression C =

e/(4jrd) for the capacity of a parallel-plate capacitor.

AnotherfactorforCi being greateron Ag thanon Hg may

beascribed to the factthatthe negativecontribution, CefS from electron spillover to the reciprocal (Co™1) of the

differentialcapacityat zero coverage isprobably greater for Ag than for Hg. Roughly speaking, this negative

contributionisgreater thelargerthepolarizabilityofthe

“electronictail”,whichinturn isexpected to increasewith

an increase in the bulk density offree electrons. The

problem of the effective density of free electrons is

complicated in the case of sd metals, because the d

electrons in these metals can neither be considered as

freenor asbound. SchmicklerandHenderson39estimated (35)Foresti, M.L;Guidelli,R.;Hamelin, A.J.Electroanal.Chem. 1993, 346, 73.

(36)Damaskin,B. B.;Survila, A. A.; Rybalka, L.E.Elektrokhimiya,

1967, 3, 146.

(37)Schumann,D.J.Electroanal.Chem. 1986,201,247. (38)Carla’, M.;Aloisi,G.;Moncelli, M.R.;Foresti, M. L.J.Colloid InterfaceSci. 1989, 132, 72.

the electron densityofAgtobemuchcloser to thehigh

value for Ga than to the relatively low value for Hg.

However,it must beconsideredthattherelativeweight oftheCei”1contributiontoCr1iscertainlylessthanthat

to Co™1,since

Cr1

> Co”1.

Sofardiscussionwas basedon themodel describedby

Guidelli andco-workers.32·33

Recentexperimentalfindings about orderingofwater

at the

Ag(lll)/NaF

interface40byin-situ SXRS (surface

X-rays scattering)suggestnot only reorientation ofwater dipoleswhen the signofthechargeon the metalchanges

butalsoachangeofareal densityinthefirst layer from

1.1 at -10 pC cm”2 to 1.8 at 25 pC cm™2. Our base

electrolytewas KCIO4, notNaF, thereforethesefindings cannotbedirectlyintroduced inour results;furthermore,

it is difficult to foresee what would be the influence of NHEXadsorptionon theselargefirst-layerwater

densi-ties. These SXRSobservationsdemonstratethat thereis

no changein the atomicsurface structure

ofAg(lll)

from

—10to25 pCcm”2, i.e.no reconstruction,butonlyasmall contraction between the top and second layer of silver atoms at the more positive charges. Therefore, the

potentialstepsare performedallalongour experimenton the same superficial atomic structure, it isnot the case for faces which reconstruct, low-index gold faces for instance.

Acknowledgment.

The authors wish to thank Mr. FerdinandoCapolupoand Mr.AndreaPozziforvaluable

technicalassistance. Thefinancial support oftheMURST

and ofthe

Italian

CNRisgratefullyacknowledged. LA9403789

(39)Schmickler, W.; Henderson,D.J.Chem. Phys. 1986, 85, 1650. (40) Toney,M.F.;Howard, J. N.; Richer,J.; Borges, G.L;Gordon,

J. G.;Melroy,O. R.;Wiesler, D. G.; Yee, D.; Sorensen,L.B.Nature

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