| 1 | #pragma rtGlobals=1 // Use modern global access method. |
|---|
| 2 | #pragma IgorVersion=6.1 |
|---|
| 3 | |
|---|
| 4 | //////////////////////////////////////////////////// |
|---|
| 5 | // |
|---|
| 6 | // model function that calculates the scattering from |
|---|
| 7 | // lamellar surfactant structures. contrast is from the solvent, |
|---|
| 8 | // surfactant headgroups, and surfactant tails |
|---|
| 9 | // |
|---|
| 10 | // The system is considered to be DILUTE - Interference (S(Q)) |
|---|
| 11 | // effects are NOT taken into account. |
|---|
| 12 | // ONLY the form factor is calculated |
|---|
| 13 | // |
|---|
| 14 | // REFERENCE: Nallet, Laversanne, and Roux, J. Phys. II France, 3, (1993) 487-502. |
|---|
| 15 | // also in J. Phys. Chem. B, 105, (2001) 11081-11088. |
|---|
| 16 | // |
|---|
| 17 | // 16 JULY 2003 SRK |
|---|
| 18 | // 13 FEB 06 correct normalization (L.Porcar) |
|---|
| 19 | // |
|---|
| 20 | //////////////////////////////////////////////////// |
|---|
| 21 | |
|---|
| 22 | //this macro sets up all the necessary parameters and waves that are |
|---|
| 23 | //needed to calculate the model function. |
|---|
| 24 | // |
|---|
| 25 | Proc PlotLamellarFF_HG(num,qmin,qmax) |
|---|
| 26 | Variable num=128, qmin=.001, qmax=.5 |
|---|
| 27 | Prompt num "Enter number of data points for model: " |
|---|
| 28 | Prompt qmin "Enter minimum q-value (A^1) for model: " |
|---|
| 29 | Prompt qmax "Enter maximum q-value (A^1) for model: " |
|---|
| 30 | // |
|---|
| 31 | Make/O/D/n=(num) xwave_LamellarFF_HG, ywave_LamellarFF_HG |
|---|
| 32 | xwave_LamellarFF_HG = alog(log(qmin) + x*((log(qmax)-log(qmin))/num)) |
|---|
| 33 | Make/O/D coef_LamellarFF_HG = {1,15,10,4e-7,3e-6,6e-6,0} //CH#2 |
|---|
| 34 | make/o/t parameters_LamellarFF_HG = {"Scale","Tail length (A)","Headgroup thickness (A)","SLD Tails (A^-2)","SLD Headgroup (A^-2)","SLD Solvent (A^-2)","Incoherent Bgd (cm-1)"} //CH#3 |
|---|
| 35 | Edit parameters_LamellarFF_HG, coef_LamellarFF_HG |
|---|
| 36 | ModifyTable width(parameters_LamellarFF_HG)=160 |
|---|
| 37 | |
|---|
| 38 | Variable/G root:g_LamellarFF_HG |
|---|
| 39 | g_LamellarFF_HG := LamellarFF_HG(coef_LamellarFF_HG, ywave_LamellarFF_HG, xwave_LamellarFF_HG) |
|---|
| 40 | Display ywave_LamellarFF_HG vs xwave_LamellarFF_HG |
|---|
| 41 | ModifyGraph marker=29, msize=2, mode=4 |
|---|
| 42 | ModifyGraph log=1 |
|---|
| 43 | Label bottom "q (A\\S-1\\M) " |
|---|
| 44 | Label left "I(q) (cm\\S-1\\M)" |
|---|
| 45 | AutoPositionWindow/M=1/R=$(WinName(0,1)) $WinName(0,2) |
|---|
| 46 | |
|---|
| 47 | AddModelToStrings("LamellarFF_HG","coef_LamellarFF_HG","parameters_LamellarFF_HG","LamellarFF_HG") |
|---|
| 48 | // |
|---|
| 49 | End |
|---|
| 50 | |
|---|
| 51 | // - sets up a dependency to a wrapper, not the actual SmearedModelFunction |
|---|
| 52 | Proc PlotSmearedLamellarFF_HG(str) |
|---|
| 53 | String str |
|---|
| 54 | Prompt str,"Pick the data folder containing the resolution you want",popup,getAList(4) |
|---|
| 55 | |
|---|
| 56 | // if any of the resolution waves are missing => abort |
|---|
| 57 | if(ResolutionWavesMissingDF(str)) //updated to NOT use global strings (in GaussUtils) |
|---|
| 58 | Abort |
|---|
| 59 | endif |
|---|
| 60 | |
|---|
| 61 | SetDataFolder $("root:"+str) |
|---|
| 62 | |
|---|
| 63 | // Setup parameter table for model function |
|---|
| 64 | Make/O/D smear_coef_LamellarFF_HG = {1,15,10,4e-7,3e-6,6e-6,0} //CH#4 |
|---|
| 65 | make/o/t smear_parameters_LamellarFF_HG = {"Scale","Tail length (A)","Headgroup thickness (A)","SLD Tails (A^-2)","SLD Headgroup (A^-2)","SLD Solvent (A^-2)","Incoherent Bgd (cm-1)"} |
|---|
| 66 | Edit smear_parameters_LamellarFF_HG,smear_coef_LamellarFF_HG //display parameters in a table |
|---|
| 67 | |
|---|
| 68 | // output smeared intensity wave, dimensions are identical to experimental QSIG values |
|---|
| 69 | // make extra copy of experimental q-values for easy plotting |
|---|
| 70 | Duplicate/O $(str+"_q") smeared_LamellarFF_HG,smeared_qvals // |
|---|
| 71 | SetScale d,0,0,"1/cm",smeared_LamellarFF_HG // |
|---|
| 72 | |
|---|
| 73 | Variable/G gs_LamellarFF_HG=0 |
|---|
| 74 | gs_LamellarFF_HG := fSmearedLamellarFF_HG(smear_coef_LamellarFF_HG,smeared_LamellarFF_HG,smeared_qvals) //this wrapper fills the STRUCT |
|---|
| 75 | |
|---|
| 76 | Display smeared_LamellarFF_HG vs smeared_qvals // |
|---|
| 77 | ModifyGraph log=1,marker=29,msize=2,mode=4 |
|---|
| 78 | Label bottom "q (A\\S-1\\M)" |
|---|
| 79 | Label left "I(q) (cm\\S-1\\M)" |
|---|
| 80 | AutoPositionWindow/M=1/R=$(WinName(0,1)) $WinName(0,2) |
|---|
| 81 | |
|---|
| 82 | SetDataFolder root: |
|---|
| 83 | AddModelToStrings("SmearedLamellarFF_HG","smear_coef_LamellarFF_HG","smear_parameters_LamellarFF_HG","LamellarFF_HG") |
|---|
| 84 | End |
|---|
| 85 | |
|---|
| 86 | |
|---|
| 87 | |
|---|
| 88 | //AAO version, uses XOP if available |
|---|
| 89 | // simply calls the original single point calculation with |
|---|
| 90 | // a wave assignment (this will behave nicely if given point ranges) |
|---|
| 91 | Function LamellarFF_HG(cw,yw,xw) : FitFunc |
|---|
| 92 | Wave cw,yw,xw |
|---|
| 93 | |
|---|
| 94 | #if exists("LamellarFF_HGX") |
|---|
| 95 | yw = LamellarFF_HGX(cw,xw) |
|---|
| 96 | #else |
|---|
| 97 | yw = fLamellarFF_HG(cw,xw) |
|---|
| 98 | #endif |
|---|
| 99 | return(0) |
|---|
| 100 | End |
|---|
| 101 | |
|---|
| 102 | //CH#1 |
|---|
| 103 | // you should write your function to calculate the intensity |
|---|
| 104 | // for a single q-value (that's the input parameter x) |
|---|
| 105 | // based on the wave (array) of parameters that you send it (w) |
|---|
| 106 | // |
|---|
| 107 | Function fLamellarFF_HG(w,x) : FitFunc |
|---|
| 108 | Wave w |
|---|
| 109 | Variable x |
|---|
| 110 | // Input (fitting) variables are: |
|---|
| 111 | //[0]Scale |
|---|
| 112 | //[1]tail length |
|---|
| 113 | //[2]hg thickness |
|---|
| 114 | //[3]sld tail |
|---|
| 115 | //[4]sld HG |
|---|
| 116 | //[5]sld solvent |
|---|
| 117 | //[6]Incoherent Bgd (cm-1) |
|---|
| 118 | |
|---|
| 119 | // give them nice names |
|---|
| 120 | Variable scale,delT,delH,slds,sldh,sldt,sig,contr,NN,Cp,bkg |
|---|
| 121 | scale = w[0] |
|---|
| 122 | delT = w[1] |
|---|
| 123 | delH = w[2] |
|---|
| 124 | sldt = w[3] |
|---|
| 125 | sldh = w[4] |
|---|
| 126 | slds = w[5] |
|---|
| 127 | bkg = w[6] |
|---|
| 128 | |
|---|
| 129 | // local variables |
|---|
| 130 | Variable inten, qval,Pq,drh,drt |
|---|
| 131 | |
|---|
| 132 | // x is the q-value for the calculation |
|---|
| 133 | qval = x |
|---|
| 134 | drh = sldh - slds |
|---|
| 135 | drt = sldt - slds //correction 13FEB06 by L.Porcar |
|---|
| 136 | |
|---|
| 137 | Pq = drh*(sin(qval*(delH+delT))-sin(qval*delT)) + drt*sin(qval*delT) |
|---|
| 138 | Pq *= Pq |
|---|
| 139 | Pq *= 4/(qval^2) |
|---|
| 140 | |
|---|
| 141 | inten = 2*Pi*scale*Pq/Qval^2 //dimensionless... |
|---|
| 142 | |
|---|
| 143 | inten /= 2*(delT+delH) //normalize by the bilayer thickness |
|---|
| 144 | |
|---|
| 145 | inten *= 1e8 // 1/A to 1/cm |
|---|
| 146 | Return (inten+bkg) |
|---|
| 147 | End |
|---|
| 148 | |
|---|
| 149 | //wrapper to calculate the smeared model as an AAO-Struct |
|---|
| 150 | // fills the struct and calls the ususal function with the STRUCT parameter |
|---|
| 151 | // |
|---|
| 152 | // used only for the dependency, not for fitting |
|---|
| 153 | // |
|---|
| 154 | Function fSmearedLamellarFF_HG(coefW,yW,xW) |
|---|
| 155 | Wave coefW,yW,xW |
|---|
| 156 | |
|---|
| 157 | String str = getWavesDataFolder(yW,0) |
|---|
| 158 | String DF="root:"+str+":" |
|---|
| 159 | |
|---|
| 160 | WAVE resW = $(DF+str+"_res") |
|---|
| 161 | |
|---|
| 162 | STRUCT ResSmearAAOStruct fs |
|---|
| 163 | WAVE fs.coefW = coefW |
|---|
| 164 | WAVE fs.yW = yW |
|---|
| 165 | WAVE fs.xW = xW |
|---|
| 166 | WAVE fs.resW = resW |
|---|
| 167 | |
|---|
| 168 | Variable err |
|---|
| 169 | err = SmearedLamellarFF_HG(fs) |
|---|
| 170 | |
|---|
| 171 | return (0) |
|---|
| 172 | End |
|---|
| 173 | |
|---|
| 174 | //the smeared model calculation |
|---|
| 175 | Function SmearedLamellarFF_HG(s) :FitFunc |
|---|
| 176 | Struct ResSmearAAOStruct &s |
|---|
| 177 | |
|---|
| 178 | // the name of your unsmeared model (AAO) is the first argument |
|---|
| 179 | Smear_Model_20(LamellarFF_HG,s.coefW,s.xW,s.yW,s.resW) |
|---|
| 180 | |
|---|
| 181 | return(0) |
|---|
| 182 | End |
|---|