[34c3020] | 1 | /** |
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[42f193a] | 2 | * Scattering model for dilute lamellar model: polydipsersion in thickness (delta) included |
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[34c3020] | 3 | * @author: Gervaise B. Alina / UTK |
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| 4 | */ |
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| 5 | |
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| 6 | #include "lamellar.h" |
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| 7 | #include <math.h> |
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[c1c29b6] | 8 | //#include "libCylinder.h" |
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[34c3020] | 9 | #include <stdio.h> |
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| 10 | #include <stdlib.h> |
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| 11 | |
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[0cfeff4] | 12 | /* LamellarFFX : calculates the form factor of a lamellar structure - no S(q) effects included |
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| 13 | -NO polydispersion included |
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| 14 | */ |
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| 15 | double lamellar_kernel(double dp[], double q){ |
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| 16 | double scale,del,sld_bi,sld_sol,contr,bkg; //local variables of coefficient wave |
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| 17 | double inten, qval,Pq; |
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| 18 | double Pi; |
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| 19 | |
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| 20 | |
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| 21 | Pi = 4.0*atan(1.0); |
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| 22 | scale = dp[0]; |
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| 23 | del = dp[1]; |
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| 24 | sld_bi = dp[2]; |
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| 25 | sld_sol = dp[3]; |
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| 26 | bkg = dp[4]; |
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| 27 | qval = q; |
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| 28 | contr = sld_bi -sld_sol; |
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| 29 | |
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| 30 | Pq = 2.0*contr*contr/qval/qval*(1.0-cos(qval*del)); |
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| 31 | |
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| 32 | inten = 2.0*Pi*scale*Pq/(qval*qval); //this is now dimensionless... |
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| 33 | |
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| 34 | inten /= del; //normalize by the thickness (in A) |
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| 35 | |
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| 36 | inten *= 1.0e8; // 1/A to 1/cm |
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| 37 | |
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| 38 | return(inten+bkg); |
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| 39 | } |
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[34c3020] | 40 | |
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| 41 | /** |
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| 42 | * Function to evaluate 1D scattering function |
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| 43 | * @param pars: parameters of the lamellar |
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| 44 | * @param q: q-value |
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| 45 | * @return: function value |
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| 46 | */ |
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| 47 | double lamellar_analytical_1D(LamellarParameters *pars, double q) { |
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| 48 | double dp[5]; |
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[42f193a] | 49 | |
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[34c3020] | 50 | // Fill paramater array |
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| 51 | dp[0] = pars->scale; |
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[975ec8e] | 52 | dp[1] = pars->bi_thick; |
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| 53 | dp[2] = pars->sld_bi; |
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| 54 | dp[3] = pars->sld_sol; |
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[34c3020] | 55 | dp[4] = pars->background; |
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[42f193a] | 56 | |
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| 57 | |
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[34c3020] | 58 | // Call library function to evaluate model |
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[975ec8e] | 59 | return lamellar_kernel(dp, q); |
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[34c3020] | 60 | } |
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[975ec8e] | 61 | |
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| 62 | |
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[42f193a] | 63 | /** |
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| 64 | * Function to evaluate 2D scattering function |
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| 65 | * @param pars: parameters of the lamellar |
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| 66 | * @param q: q-value |
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| 67 | * @return: function value |
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| 68 | */ |
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| 69 | |
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[34c3020] | 70 | |
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| 71 | double lamellar_analytical_2D(LamellarParameters *pars, double q, double phi){ |
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[42f193a] | 72 | return lamellar_analytical_1D(pars,q); |
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[34c3020] | 73 | } |
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| 74 | double lamellar_analytical_2DXY(LamellarParameters *pars, double qx, double qy){ |
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[42f193a] | 75 | return lamellar_analytical_1D(pars,sqrt(qx*qx+qy*qy)); |
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[34c3020] | 76 | } |
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| 77 | |
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