4Misc_Startr4Platformr@9VersionCheck xHH@Rg(HHdh xHH@Rg(HHdh x HH@Rg(HHdh ^Graph*WDashSettings#  ! 5QH6Normal@ Menlo<HHHH$$4 4 4 4 4 4 homeW?d$JJW HD:Users:jjw_work:Downloads:JJW HD߯?BD Downloadsl cujjw_work/:Users:jjw_work:Downloads/ DownloadsJJW HDUsers/jjw_work/Downloads/RecentWindowsGraph0:Zsen_1012_01 vs Defl_1012_01;...Normalized Potential PlotPotential PlotTable0:M_IteratesTable1:Zsen_1012_01,normdeflection 4Misc_EndrTXOPState_Start rPeakFunctions2-64)8[4XOPState_Endr\•FDcalculateWithHold_nanoJKRDMT_single(Zsen_1012_01,Defl_1012_01,29) Fit converged properly --Curve fit with constraints-- Active Constraint: Desired: K1<-20.599 Achieved: K1=-20.599 Curve fit with data subrange: Zsen_1012_01[2048,2083] fit_Zsen_1012_01= EbensteinTroyon_DMTJKR_Fit(W_coef,x) Res_Zsen_1012_01[2048,2083]= Zsen_1012_01[p] - EbensteinTroyon_DMTJKR_Fit(W_coef,Defl_1012_01[p]) W_coef={4.9217,-20.599,0.063718,0.85263,29} V_chisq= 0.25349;V_npnts= 36;V_numNaNs= 0;V_numINFs= 0; V_startRow= 2048;V_endRow= 2083; W_sigma={41.7,0.0408,0.508,20.7,0} Fit coefficient confidence intervals at 95.00% confidence level: W_ParamConfidenceInterval={85,0.0831,1.03,42.3,0,0.95} Coefficient values ± 95% Confidence Interval a0 = 4.9217 ± 85 Padh = -20.599 ± 0.0831 Xc = 0.063718 ± 1.03 alpha = 0.85263 ± 42.3 R = 29 ± 0 •Edit/K=0 root:M_Iterates •display defl_1012_01 vs zsen_1012_01 as "Potential Plot" •SetAxis/A/R bottom •SetAxis/R bottom 2,-6 •duplicate defl_1012_01, normdeflection •display normdeflection vs zsen_1012_01 as "Normalized Potential Plot" •SetAxis/R bottom 1,0 •normdeflection /= (-wavemin(normdeflection)) •normdeflection += 1 •ModifyGraph mode=3,marker=19,mrkThick=3,rgb=(0,0,0) •ModifyGraph mirror=2,fSize=14;DelayUpdate •Label left "\\Z16Relative Potential (U/Uo) + 1";DelayUpdate •Label bottom "\\Z16Tip Depth Penetration from Well Bottom" •ModifyGraph height={Aspect,1} •Edit/K=0 root:Zsen_1012_01 •AppendToTable/W=Table1 root:normdeflection •duplicate normdeflection pmarker •pmarker = 19 •ModifyGraph zmrkNum(normdeflection)={pmarker} •ShowInfo •pmarker[0,2047] = 10 •pmarker[0,2047] = 18 •pmarker[0,2047] = 8 !|@ǗDefl_1012_01????>{9|?>M?}>PD#?>ù%?>SX?>]z?}&ڦ ?}72w?ltj?}zK?>#P,x?>Ov?}fѠ?}bK?>+ F?>k?>V^y?>?*=t?>ع?}X?}LgL?}vv?}~[\b?}H^?}x~?}A?};t?>0?}v{t%?}պ\?>X|?}&$?}.wH?}v o?^?}nuC?} K?(g}?}P"?}R?}k ?}η?\D?z?}Nkc?}6X?gԕA?xM?}n^?} ~?lT?K ?}~Fa+?}Ռ?>4"?} n?}>5O?}c ?IZ?}V?R?>g; /?}V3?}feP?!,9?}u?}bl?Y'? ?}}4?s/?Y|?q_Q?E?yX?3},?}ξV?}uV]?}VT x?>@?\Z`?3?̿Ry?>swd2?>&i?}?}6c-?fd?C?}洸fx?}63{:?G|?>OezH?}~V$?}VQ?}Y5?>O뙆?>C6?>K0w+?>n:#?>>?}nL?}r?>Gփ3?>'O?>^?}&W%?>sO?>S ?>#(T?>"c?}Lc?} ܴ?> /~?>' s?>|?>X?>k!?}Yju?}.d?}VP?>+o79?>?>?F?>a[H?}q?>s ?>?}?}В?>B^_?>O*taW?>KD?>WjR8>?>;; ?>?j0~?>em?>g׏?@?>s?>ۃI?>d?>c#?>0"?>h?>d?>n ?>)!~q?ےqN;@>cUj?>E?>L?>Q?>o;?>i?>r8? @1[d@ p#@>7?}?>3ݽ?>WV?>[:?>W@ą?>oz?5@>5q?>6?>OcO?>3dO?>g; /?>?>G?>S^#q?>O G?>+2#?>_H1?>Oyd?V@_ٸ2@>bm7?>d?>O ??>U?>S~dz?>J8K?>sf?>O?pC?>׬WT?>#?>C㨏?>ۢ?>Cq?>QEn?>?M(?>xb?>ִY?}6Jo4?%="?}V|?>M;n?>2 ?>ą?> 6 ?>#?}W?>*H?>,#?>Ki:?>G?}?}8{g?}θ ?}8v??>S$8?} n?}֎ ?}x?}?>WH?Gm?}>=[q??}RH"?_9?}&ڦ ?}6y?acY?l{tC?IZ?sx{m?̿Ry?\?^?э?}d̈́?g,?}m0?Bm?HkE?PH?3ᴇ?}޹Y?}eZ?>?}?sp X?3D/?}h?\]?f\?}>!=S?}$?}DJk?><?}nY?>=?>[?>{%=?>ߗ,?>9?>Ìi?}n?>Gc?}nP?}-?}vli?}NK?}o?>ӊߕ|?}?>_ܨ!?}FL?}V)?}nU?Zw?}θ(?}?}nǔ?}^?}#R?}x?}n|Ɍ?>וRg?}q ?}?}K)G?}Ƥk?!? 6"?>].?>e'?>?} d?>?>rci?>Kgs?}&E?< ?}?>SkB?}|?K?\0?}$]ڃ?>y%?}6?}?}V&?}ю?}(34? nE̵?}׎>?}В?}DF?}?hp?}V?܊Ң? )ɿ}cݿp޽f0U@$ 29U}n=y?}N?@f?};:?|pl/?g# ?|v|?泓Y?}^9n?l?}S~?%L_?,͕!i?&ӿ\'Sj?쾻mҿs|G?LU)?o?3KQ!?f<?泳:Ͳ?}7K?} V1?̶\+?}1/`?>++?}s?}| ?}&^W?}WB?}?}իc?jCP?y?w?}?}\?|?}8$?}?}=?}@Ӡ?}+ ?>_xC?}] Lp?}`(?m?Do?y5_?3>?,.?wY ?}^&?2?`]I??ǰI? l\? 0?!?}v_i??'h0A? }>?}ZH?}Vb??2DzkoYM?c>W?39db?:Cp?}C?}.I>?}V?}^jM?>7Gc?}.U?}d,8?} Y?}vy?}-?}i;g?}"?}/?r ?<)?g?2"+ͦ}F(*?E+?}?}N\)Y?},?}N5?}HRg?U?e:?g?ѿ3E]TY?XO ?sԨ7L?)lN??}~J?e_'?>#Z+?>q)?}v?}nl{?}O?>C^?}uPA?>Md{?}S~?}?}L.Y?}6[J??&zT?}a}?}|8?>f.? )u?YD?}ح`\?}?}?5IG?>g?-?}?}>pW?}d?}֕?}|r?L^?:9ȫ?\-?}CW?>V?>#Ǎh?}m?}v1d{?Ay ?}^}?>LU?}>PD#?}r? \wrm^?Gm?}Ρ?}af?}?>Sr?}?}3?>_'q?>i?>T΁?}aLD?}^?>?&?} DA?>Gx?>?2yb?}^Ȉ?>_5O7?>;@3?>3Yc?>`i?>??>{?}[?}*?>;?>n_R?>){?>0h?>;3Hz?>3-?>oMln?>_-I?}Q?>Dg?>.\L?>q?>״Y?>{24?G^~n?}n&?>;E~?>ڒ?>Z'?}{ ?}?}G$9?}?э??}&Ѱ?>O4?}q ?}6 W~?}cB?}6_h?>#?:?}NU?> A?>k-!?>o{p?>M?>$?>Ky)?>'?}~#Ul?}~ae?>h?>c?>s0?>|-?}^8o?}w)?}D}?} B?}N?}f/?}>aPU?}6]s ?>L2?}θ(?H>?ܯ:??,?}F(?}{ ?2&} k?}5?EF?}:?\/?}N ?}?}D}?,'?ٞx2?}TY?̖??*?}Vؐ?}>5@3?}Ru?}v`NV?I??3ᴇ?H,?}Fgh?y[ͺ??wc?\xy? 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Platform=Macintosh, IGORVersion=8.050, architecture=Intel, systemTextEncoding="MacRoman", historyTextEncoding="UTF-8", procwinTextEncoding="UTF-8", recreationTextEncoding="UTF-8", build=37523 #pragma TextEncoding = "UTF-8" Silent 101 // use | as bitwise or -- not comment. DefaultFont "Arial" Table0() Graph0() Graph1() MoveWindow/C 882,118,2006,562 Graph2() Table1() MoveWindow/P 431,53,1352,849 KillStrings/Z root:gWMSetNextTextFilesTextEncoding Window Table1() : Table PauseUpdate; Silent 1 // building window... Edit/W=(5,53,451,314) Zsen_1012_01,normdeflection ModifyTable format(Point)=1 EndMacro Window Graph2() : Graph PauseUpdate; Silent 1 // building window... Display /W=(373,53,1035,688) normdeflection vs Zsen_1012_01 as "Normalized Potential Plot" ModifyGraph height={Aspect,1} ModifyGraph mode=3 ModifyGraph marker=19 ModifyGraph rgb=(0,0,0) ModifyGraph mrkThick=3 ModifyGraph zmrkNum(normdeflection)={pmarker} ModifyGraph mirror=2 ModifyGraph fSize=14 Label left "\\Z16Relative Potential (U/Uo) + 1" Label bottom "\\Z16Tip Depth Penetration from Well Bottom" SetAxis/R bottom 1,0 Cursor/P A normdeflection 2043 ShowInfo EndMacro Window Graph1() : Graph PauseUpdate; Silent 1 // building window... Display /W=(375,53,1035,606) Defl_1012_01 vs Zsen_1012_01 as "Potential Plot" SetAxis left -25.4101805081829,55.7411282031614 SetAxis/R bottom 2,-6 EndMacro Window Graph0() : Graph PauseUpdate; Silent 1 // building window... Display /W=(35,53,814,555) Zsen_1012_01 vs Defl_1012_01 AppendToGraph fit_Zsen_1012_01 AppendToGraph/L=Res_Left Res_Zsen_1012_01 vs Defl_1012_01 ModifyGraph lblPos(left)=58 ModifyGraph freePos(Res_Left)=0 ModifyGraph axisEnab(left)={0,0.75} ModifyGraph axisEnab(Res_Left)={0.8,1} SetAxis left -1,* TextBox/C/N=CF_Zsen_1012_01/X=0.95/Y=51.30 "Coefficient values ± 95% Confidence Interval\r\ta0 \t= 4.9217 ± 85\r\tPadh \t= -20.599 ± 0.0831" AppendText "\tXc \t= 0.063718 ± 1.03\r\talpha\t= 0.85263 ± 42.3\r\tR \t= 29 ± 0" EndMacro Window Table0() : Table PauseUpdate; Silent 1 // building window... Edit/W=(154,276,659,473) M_Iterates ModifyTable format(Point)=1 EndMacro -#pragma TextEncoding = "UTF-8" #pragma rtGlobals=3 // Use modern global access method and strict wave access. Function EbensteinTroyon_DMTJKR_Fit(w,P) : FitFunc Wave w Variable P //CurveFitDialog/ These comments were created by the Curve Fitting dialog. Altering them will //CurveFitDialog/ make the function less convenient to work with in the Curve Fitting dialog. //CurveFitDialog/ Equation: //CurveFitDialog/ f(P) = Xc + a0^2/R* ( (alpha+sqrt(1-P/Padh))/(1+alpha) )^(4/3) - (-2.160*alpha^0.019+2.7531*alpha^0.064+0.073*alpha^1.919)*a0^2/R* ( (alpha+sqrt(1-P/Padh))/(1+alpha) )^(2*(0.516*alpha^4-0.683*alpha^3+0.235*alpha^2+0.429*alpha)/3) //CurveFitDialog/ End of Equation //CurveFitDialog/ Independent Variables 1 //CurveFitDialog/ P //CurveFitDialog/ Coefficients 5 //CurveFitDialog/ w[0] = a0 //CurveFitDialog/ w[1] = Padh //CurveFitDialog/ w[2] = Xc //CurveFitDialog/ w[3] = alpha //CurveFitDialog/ w[4] = R return w[2] + w[0]^2/w[4]* ( (w[3]+sqrt(1-P/w[1]))/(1+w[3]) )^(4/3) - (-2.160*w[3]^0.019+2.7531*w[3]^0.064+0.073*w[3]^1.919)*w[0]^2/w[4]* ( (w[3]+sqrt(1-P/w[1]))/(1+w[3]) )^(2*(0.516*w[3]^4-0.683*w[3]^3+0.235*w[3]^2+0.429*w[3])/3) End //Rewrite to be more resilient against different indentation loads //Still implicitly assumes tDLC and 100nm/s, need to revisit if this is not true // Ebenstein,Wahl method for fitting // with more general Pietremont equation Function FDcalculateWithHold_nanoJKRDMT_single(Zsens,Defl,R) Wave Zsens,Defl Variable R //tip radius variable delta,i,ZeroLoad,maxForce,maxDisp, ZeroDisp variable finalDisp,TenPercentLoad,ThreePercentLoad variable TenPercentDispPt,ThreePercentDispPt,RetractLastX string nameString = "FDparams_DMTJKR_" + nameofwave(Defl) make/O/N=13 $nameString Wave FDparams = $nameString //Use FDparams to store calculated quantities //[0]= MaxForce, [1] = TotalDisplacement, [2]=PulloffForce,[3]=PulloffLocation // //Find contact point, hunt for where pullin occurs // need some tolerance for delta delta = 0 i=0 do delta = Defl[i] - Defl[i+9] //check change across interval i+=1 while (abs(delta) < 2) //terminate when abs(delta) greater than threshold = 2 //Might need to adjust this threshold at times //Find ZeroLoad Wavestats/Q/R=[i-200,i+5] Defl //subtract off 200pts from +10nN level to have whole seg OOC, seems adequate for these probes at 100nm/s ZeroLoad = V_avg //Find MaxForce maxForce = Defl[numpnts(Defl)/2] //Curves should be equally divided between indent and retract maxDisp = Zsens[numpnts(Defl)/2] //all curves have some pullin, so can just find level where ZeroLoad is crossed Findlevel/Q/P/R=[numpnts(Defl)/2-1,0] Defl, ZeroLoad //Just find ZeroLoad point with FindLevel through pull-in ZeroDisp = Zsens[V_LevelX] //Find ZeroDisp at point number of ZeroLoad crossing //Now shift contact point to Z=0 for easier viewing later on Defl = Defl - ZeroLoad Zsens = Zsens - ZeroDisp //Store a couple values FDparams[0] = maxForce - ZeroLoad FDparams[1] = maxDisp - ZeroDisp //Find F_pulloff (in nN) Wavestats/Q Defl FDparams[2] = -V_min //Pulloff force FDparams[3] = Zsens[V_minloc] //Pulloff location (might be wrong with >1s hold time) //Show the fit region Display Zsens vs Defl SetAxis left -1,* Make/D/N=5/O W_coef W_coef[0] = {3,-FDParams[2]-1,0,0.5,R} Variable V_FitMaxIters = 100 //increase iterations Variable V_FitTol = 0.00001 //change convergence criterion // Variable V_FitOptions=2 // Do a least absolute error fit (not least squares) Variable V_FitOptions=8 // Save convergence path //Try constraining solution Make/O/T/N=8 T_Constraints //Have to constrain Padh 2","K0 < 7","K1 > -25","K1 <"+num2str(-FDParams[2]),"K2 > -1","K2 < 1","K3>0","K3<1"} //ODR fitting //FuncFit/H="0001"/TBOX=768/ODR=3 Ebenstein_JKR W_coef Zsens[V_minRowLoc,numpnts(Defl)/2] /X=Defl /D /R /C=T_Constraints /F={0.95, 4} //Didn't work very well //with constraints with covariance matrix /M=2 FuncFit/H="00001"/TBOX=768/M=2 EbensteinTroyon_DMTJKR_Fit W_coef Zsens[V_minRowLoc,numpnts(Defl)/2] /X=Defl /D /R /C=T_Constraints /F={0.95, 4} //FuncFit/H="0001"/TBOX=768 Ebenstein_JKR W_coef Zsens[V_minRowLoc,numpnts(Defl)/2] /X=Defl /D /R /F={0.95, 4} Wave W_ParamConfidenceInterval FDparams[4] = W_coef[0] //a0 FDparams[5] = W_coef[1] //Padh FDparams[6] = W_coef[2] //Xc FDparams[7] = W_coef[3] //alpha FDparams[8] = W_ParamConfidenceInterval[0] //a0 error FDparams[9] = W_ParamConfidenceInterval[1] //Padh error FDparams[10] = W_ParamConfidenceInterval[2] //Xc error FDparams[11] = W_ParamConfidenceInterval[3] //Xc error FDparams[12] = V_chisq // label FDParams SetDimLabel 0, 0, MaxForce, FDparams SetDimLabel 0, 1, TotalDisplacement, FDparams SetDimLabel 0, 2, PulloffForce, FDparams SetDimLabel 0, 3, PulloffLocation, FDparams SetDimLabel 0, 4, ao, FDparams SetDimLabel 0, 5, Padh, FDparams SetDimLabel 0, 6, Xc, FDparams SetDimLabel 0, 7, alpha, FDparams SetDimLabel 0, 8, aoError, FDparams SetDimLabel 0, 9, PadhError, FDparams SetDimLabel 0, 10, XcError, FDparams SetDimLabel 0, 11, alphaError, FDparams SetDimLabel 0, 12, ChiSq, FDparams // Display ExtendY_shift vs ExtendX_shift; AppendToGraph RetractY_shift vs RetractX_shift End