1 | /** |
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2 | * Scattering model for dilute lamellar model: polydipsersion in thickness (delta) included |
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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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8 | //#include "libCylinder.h" |
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9 | #include <stdio.h> |
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10 | #include <stdlib.h> |
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11 | |
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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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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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49 | |
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50 | // Fill paramater array |
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51 | dp[0] = pars->scale; |
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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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55 | dp[4] = pars->background; |
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56 | |
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57 | |
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58 | // Call library function to evaluate model |
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59 | return lamellar_kernel(dp, q); |
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60 | } |
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61 | |
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62 | |
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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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70 | |
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71 | double lamellar_analytical_2D(LamellarParameters *pars, double q, double phi){ |
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72 | return lamellar_analytical_1D(pars,q); |
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73 | } |
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74 | double lamellar_analytical_2DXY(LamellarParameters *pars, double qx, double qy){ |
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75 | return lamellar_analytical_1D(pars,sqrt(qx*qx+qy*qy)); |
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76 | } |
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77 | |
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