# source:sans/Dev/trunk/NCNR_User_Procedures/SANS/Analysis/Models/NewModels_2006/MultiShell_v40.ipf@379

Last change on this file since 379 was 379, checked in by srkline, 14 years ago

Removed Angstrom symbol (Mac code) and replaced it with simply a capital "A" so strange symbols won't appear anymore on Win.

File size: 5.5 KB
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1#pragma rtGlobals=1             // Use modern global access method.
2#pragma IgorVersion = 6.0
3
4// calculates the scattering from a spherical particle made up of a core (aqueous) surrounded
5// by N spherical layers, each of which is a PAIR of shells, solvent + surfactant since there
6//must always be a surfactant layer on the outside
7//
8// bragg peaks arise naturally from the periodicity of the sample
9// resolution smeared version gives he most appropriate view of the model
10
11//
12//
13Proc PlotMultiShellSphere(num,qmin,qmax)
14        Variable num=100,qmin=0.001,qmax=0.7
15        Prompt num "Enter number of data points for model: "
16        Prompt qmin "Enter minimum q-value (A^-1) for model: "
17        Prompt qmax "Enter maximum q-value (A^-1) for model: "
18
19        make/O/D/N=(num) xwave_mss,ywave_mss
20        xwave_mss =  alog(log(qmin) + x*((log(qmax)-log(qmin))/num))
21        make/O/D coef_mss = {1.,60,10,10,6.4e-6,0.4e-6,2,0.001}
22        make/O/T parameters_mss = {"scale","core radius (A)","shell thickness (A)","water thickness","core & solvent SLD (A-2)","Shell SLD (A-2)","number of water/shell pairs","bkg (cm-1)"}
23        Edit/K=1 parameters_mss,coef_mss
24
25        Variable/G root:g_mss
26        g_mss := MultiShellSphere(coef_mss,ywave_mss,xwave_mss)
27        Display/K=1 ywave_mss vs xwave_mss
28        ModifyGraph log=1,marker=29,msize=2,mode=4
29        Label bottom "q (A\\S-1\\M)"
30        Label left "Intensity (cm\\S-1\\M)"
31        AutoPositionWindow/M=1/R=\$(WinName(0,1)) \$WinName(0,2)
32
34End
35
36// - sets up a dependency to a wrapper, not the actual SmearedModelFunction
37Proc PlotSmearedMultiShellSphere(str)
38        String str
39        Prompt str,"Pick the data folder containing the resolution you want",popup,getAList(4)
40
41        // if any of the resolution waves are missing => abort
42        if(ResolutionWavesMissingDF(str))               //updated to NOT use global strings (in GaussUtils)
43                Abort
44        endif
45
46        SetDataFolder \$("root:"+str)
47
48        // Setup parameter table for model function
49        make/O/D smear_coef_mss = {1.,60,10,10,6.4e-6,0.4e-6,2,0.001}
50        make/O/T smear_parameters_mss = {"scale","core radius (A)","shell thickness (A)","water thickness","core & solvent SLD (A-2)","Shell SLD (A-2)","number of water/shell pairs","bkg (cm-1)"}
51        Edit/K=1 smear_parameters_mss,smear_coef_mss
52
53        // output smeared intensity wave, dimensions are identical to experimental QSIG values
54        // make extra copy of experimental q-values for easy plotting
55        Duplicate/O \$(str+"_q") smeared_mss,smeared_qvals
56        SetScale d,0,0,"1/cm",smeared_mss
57
58        Variable/G gs_mss=0
59        gs_mss := fSmearedMultiShellSphere(smear_coef_mss,smeared_mss,smeared_qvals)    //this wrapper fills the STRUCT
60
61        Display/K=1 smeared_mss vs smeared_qvals
62        ModifyGraph log=1,marker=29,msize=2,mode=4
63        Label bottom "q (A\\S-1\\M)"
64        Label left "Intensity (cm\\S-1\\M)"
65        AutoPositionWindow/M=1/R=\$(WinName(0,1)) \$WinName(0,2)
66
67        SetDataFolder root:
69End
70
71
72
73
74//AAO version, uses XOP if available
75// simply calls the original single point calculation with
76// a wave assignment (this will behave nicely if given point ranges)
77Function MultiShellSphere(cw,yw,xw) : FitFunc
78        Wave cw,yw,xw
79
80#if exists("MultiShellSphereX")
81        yw = MultiShellSphereX(cw,xw)
82#else
83        yw = fMultiShellSphere(cw,xw)
84#endif
85        return(0)
86End
87
88Function fMultiShellSphere(w,x) :FitFunc
89        Wave w
90        Variable x
91
92        // variables are:
93        //[0] scale factor
94        //[1] radius of core [A]
95        //[2] thickness of the shell    [A]
96        //[3] thickness of the water layer
97        //[4] SLD of the core = sld of the solvent[A-2]
98        //[5] SLD of the shell
99        //[6] number of pairs (tw+tsh)
100        //[7] background        [cm-1]
101
102        // All inputs are in ANGSTROMS
103        //OUTPUT is normalized by the particle volume, and converted to [cm-1]
104
105
106        Variable scale,rcore,tw,ts,rhocore,rhoshel,num,bkg
107        scale = w[0]
108        rcore = w[1]
109        ts = w[2]
110        tw = w[3]
111        rhocore = w[4]
112        rhoshel = w[5]
113        num = w[6]
114        bkg = w[7]
115
116        //calculate with a loop, two shells at a time
117        Variable ii=0,fval=0,voli,ri,sldi
118
119        do
120                ri = rcore + ii*ts + ii*tw
121                voli = 4*pi/3*ri^3
122                sldi = rhocore-rhoshel
123                fval += voli*sldi*F_func(ri*x)
124                ri += ts
125                voli = 4*pi/3*ri^3
126                sldi = rhoshel-rhocore
127                fval += voli*sldi*F_func(ri*x)
128                ii+=1           //do 2 layers at a time
129        while(ii<=num-1)  //change to make 0 < num < 2 correspond to unilamellar vesicles (C. Glinka, 11/24/03)
130
131        fval *=fval             //square it
132        fval /=voli             //normalize by the overall volume
133        fval *=scale*1e8
134        fval += bkg
135
136        return(fval)
137End
138
139Function F_func(qr)
140        Variable qr
141
142        Variable val=0
143
144        val = 3*(sin(qr) - qr*cos(qr))/qr^3
145
146        return(val)
147End
148
149
150//
151//Function Schulz_Point_ms(x,avg,zz)
152//
153//      //Wave w
154//      Variable x,avg,zz
155//      Variable dr
156//
157//      dr = zz*ln(x) - gammln(zz+1)+(zz+1)*ln((zz+1)/avg)-(x/avg*(zz+1))
158//
159//      return (exp(dr))
160//
161//End
162
163//wrapper to calculate the smeared model as an AAO-Struct
164// fills the struct and calls the ususal function with the STRUCT parameter
165//
166// used only for the dependency, not for fitting
167//
168Function fSmearedMultiShellSphere(coefW,yW,xW)
169        Wave coefW,yW,xW
170
171        String str = getWavesDataFolder(yW,0)
172        String DF="root:"+str+":"
173
174        WAVE resW = \$(DF+str+"_res")
175
176        STRUCT ResSmearAAOStruct fs
177        WAVE fs.coefW = coefW
178        WAVE fs.yW = yW
179        WAVE fs.xW = xW
180        WAVE fs.resW = resW
181
182        Variable err
183        err = SmearedMultiShellSphere(fs)
184
185        return (0)
186End
187
188// this model needs 76 Gauss points for a proper smearing calculation
189// since there can be sharp interference fringes that develop from the stacking
190Function SmearedMultiShellSphere(s) :FitFunc
191        Struct ResSmearAAOStruct &s
192
193//      the name of your unsmeared model (AAO) is the first argument
194        Smear_Model_76(MultiShellSphere,s.coefW,s.xW,s.yW,s.resW)
195
196        return(0)
197End
198
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