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.Frictioncoefficientiscal-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