APL2006

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Effectofnormalvibrationonfrictionintheatomicforcemicroscopy

experiment

SangminJeonDepartmentofChemicalEngineering,PohangUniversityofScienceandTechnology,Pohang790-784,Korea

ThomasThundatCenterforEngineeringScienceAdvancedResearch,LifeSciencesDivision,OakRidgeNationalLaboratory,OakRidge,Tennessee37831

YehudaBraimana͒

CenterforEngineeringScienceAdvancedResearch,ComputerScienceandMathematicsDivision,OakRidgeNationalLaboratory,OakRidge,Tennessee37831

͑Received18July2005;accepted19April2006;publishedonline23May2006͒

Westudiedtheeffectofperiodicnormal͑out-of-plane͒surfacevibrationsonfrictioninanatomic

forcemicroscopeexperiment.Vibrationfrequencywasvariedintherangeof1–100kHz,and

vibrationamplitudewasvariedintherangeofafewnanometers.Weobservedareductionofafew

ordersofmagnitudeinfrictioncoefficientduetotheperiodicvibrations.Frictionreductionisover

awiderangeofvibrationfrequenciesandamplitudes.Verylowvalues͑oftheorderof0.01͒of

frictioncoefficientweremeasured.Ournumericalsimulationbasedonaminimalistmodeling

qualitativelyagreeswiththeexperimentalresults.Basedonnumericalsimulations,amechanismof

frictionreductionand/orincreasewithnormalvibrationsisproposed.©2006AmericanInstituteof

Physics.͓DOI:10.1063/1.2203741͔

Howtoexperimentallymanipulateandcontrolfriction

betweenslidingsurfacesremainsaformidablechallenge.

yet.Frictioncanbeaffectedbytheapplicationofsmallper-

turbationstotheslidingsystem.1–9Implementationofade-

sirablelevelofcontrol,though,requiresaprioriknowledge

ofthestrengthandtimingoftheperturbations.Employing

surfacevibrations͑bothnormalandlateral͒tomanipulate

friction1,2,4,6,8,9isapromisingidea,however,ourabilityto

predicthowvibrationsaffectfrictionisstilllimited.Inthis

letter,westudytheeffectofsurfacevibrationsonfrictional

propertiesofsurfacesusinganatomicforcemicroscope͑AFM͒.Ourexperimentalandnumericalmodelingresults

showedasignificant͑fewordersofmagnitude͒reductionin

thefrictionforceasaresultofsurfacevibrations.Asinthe

surfaceforceapparatusexperiment,1weobservedverysmall

valuesofthefrictioncoefficientoftheorderof0.01.Both

periodicaswellasrandomvibrationsresultinasignificant

decreaseinfrictioncoefficient.

MercaptopropionicacidwaspurchasedfromAldrichand

usedwithoutanyfurtherpurification.Itwasselectedasa

boundarylubricantbecauseofitssimplestructureandhydro-

philicity.Anatomicallysmoothmicasurfacewascleaved,

anda2.5nmthicknessofchromiumanda30nmthickness

ofgoldlayersweresequentiallydepositedonit.Aself-

assembledmonolayerofmercaptopropionicacidwasformed

onafreshgoldsurfacebydippingthegold-coatedmicainto

a1mg/mlconcentrationofethanolsolutionovernight.After

beingthoroughlyrinsedwithethanolandcompletelydried

withcleannitrogen,thesubstratewasimmediatelymounted

onapiezoelectricactuator.Theamplitudeandfrequencyof

verticalvibrationbytheactuatorwerecontrolledwithadigi-

talfunctiongenerator.Forfrictionmeasurements,anAFM͑Multimode,Digital

Instrument,SantaBarbara,CA͒withaquadrantposition-

sensitivedetectorwasused.Adiodelaserisfocusedonthe

endofthecantileverandalignedtoreflectthelaserbeamto

thecenterofthedetector.Proportionalandintegralgainsofa

feedbackloopweresettolowvaluesbecausehighvalues

canexertalargeinfluenceonthelateralforcemeasurement.Scanspeedandscansizewerefixedat1.97Hzand100nm,respectively,throughoutthemeasurements.Figure1͑a͒summarizesthefrictioncoefficientsatvari-ousfrequenciesandamplitudes.Frictioncoefficient␮iscal-culatedfrom␮=␣F/L,whereFandLareafrictionforceandanormalloadinvoltage,respectively.FiscalculatedfromthedifferencebetweentraceandretracecurvesandLisfixedat2Vthroughouttheexperiment.Sincethespringconstantsofflexureandtorsionaredifferent,theratioofthespringconstants␣shouldbeconsidered.Here,␣isassignedtobe30basedonthepreviousexperimentusingthesamestructureofthesiliconcantilever.10Atalowfrequencyof1Hz,thefrictionisnotmuchaffectedbythevibration,re-gardlessoftheamplitude,becausetheverticalvibrationisslowerthanthescanningspeedofthecantilever.Thefrictionstartstodecreasesignificantlyabove100Hz,andthemini-mumfrictioncoefficientappearsat10kHz.However,thefrictioncoefficientincreasesagainabove10kHz.Thisten-dencyismoreapparentinFig.1͑b͒,wherethefrictioncoef-ficientisplottedagainstthelogarithmofthefrequencyatfixedamplitudeof4V.TheinsetofFig.1͑b͒isthesameplotasFig.1͑b͒butisplottedagainstthelinearfrequency.Sincethemechanicalresonanceoftheinstrumentplaysanimportantroleinthemeasurement,theresonancere-sponseoftheapparatuswasmeasuredtoconfirmwhethertheminimumfrictioncoefficientisrelatedtothemechanicalresonance.Alock-inamplifier͑StanfordResearchSystems,Sunnyvale,CA͒wasusedtodrivethepiezoelectricactuatora͒Electronicmail:braimany@ornl.govAPPLIEDPHYSICSLETTERS88,214102͑2006͒

0003-6951/2006/88͑21͒/214102/3/$23.00©2006AmericanInstituteofPhysics88,214102-1Downloaded 24 Feb 2011 to 162.105.25.137. Redistribution subject to AIP license or copyright; see http://apl.aip.org/about/rights_and_permissions