1 | #pragma rtGlobals=1 // Use modern global access method. |
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2 | |
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3 | // be sure to include all the necessary files... |
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4 | |
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5 | #include "RectPolySpheres" |
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6 | |
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7 | #include "HardSphereStruct" |
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8 | #include "HPMSA" |
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9 | #include "SquareWellStruct" |
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10 | #include "StickyHardSphereStruct" |
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11 | |
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12 | Proc PlotPolyRectSphere_HS(num,qmin,qmax) |
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13 | Variable num=256,qmin=0.001,qmax=0.7 |
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14 | Prompt num "Enter number of data points for model: " |
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15 | Prompt qmin "Enter minimum q-value (^-1) for model: " |
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16 | Prompt qmax "Enter maximum q-value (^-1) for model: " |
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17 | |
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18 | Make/O/D/n=(num) xwave_RECT_HS,ywave_RECT_HS |
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19 | xwave_RECT_HS = alog(log(qmin) + x*((log(qmax)-log(qmin))/num)) |
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20 | Make/O/D coef_RECT_HS = {0.1,60,0.1,6e-6,0.0001} |
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21 | make/o/t parameters_RECT_HS = {"volume fraction","avg radius (A)","polydispersity","contrast (A-2)","bkg (cm-1)"} |
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22 | Edit/K=1 parameters_RECT_HS,coef_RECT_HS |
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23 | ywave_RECT_HS := PolyRectSphere_HS(coef_RECT_HS,xwave_RECT_HS) |
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24 | Display/K=1 ywave_RECT_HS vs xwave_RECT_HS |
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25 | ModifyGraph log=1,marker=29,msize=2,mode=4 |
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26 | Label bottom "q (\\S-1\\M)" |
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27 | Label left "Intensity (cm\\S-1\\M)" |
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28 | |
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29 | AutoPositionWindow/M=1/R=$(WinName(0,1)) $WinName(0,2) |
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30 | End |
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31 | |
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32 | Proc PlotSmearedPolyRectSphere_HS() |
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33 | //no input parameters necessary, it MUST use the experimental q-values |
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34 | // from the experimental data read in from an AVE/QSIG data file |
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35 | |
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36 | // if no gQvals wave, data must not have been loaded => abort |
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37 | if(ResolutionWavesMissing()) |
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38 | Abort |
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39 | endif |
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40 | |
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41 | // Setup parameter table for model function |
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42 | Make/O/D smear_coef_RECT_HS = {0.1,60,0.1,6e-6,0.0001} |
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43 | make/o/t smear_parameters_RECT_HS = {"volume fraction","avg radius (A)","polydispersity","contrast (A-2)","bkg (cm-1)"} |
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44 | Edit smear_parameters_RECT_HS,smear_coef_RECT_HS |
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45 | |
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46 | // output smeared intensity wave, dimensions are identical to experimental QSIG values |
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47 | // make extra copy of experimental q-values for easy plotting |
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48 | Duplicate/O $gQvals smeared_RECT_HS,smeared_qvals |
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49 | SetScale d,0,0,"1/cm",smeared_RECT_HS |
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50 | |
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51 | smeared_RECT_HS := SmearedPolyRectSphere_HS(smear_coef_RECT_HS,$gQvals) |
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52 | Display smeared_RECT_HS vs smeared_qvals |
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53 | ModifyGraph log=1,marker=29,msize=2,mode=4 |
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54 | Label bottom "q (\\S-1\\M)" |
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55 | Label left "Intensity (cm\\S-1\\M)" |
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56 | |
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57 | AutoPositionWindow/M=1/R=$(WinName(0,1)) $WinName(0,2) |
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58 | End |
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59 | |
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60 | Function PolyRectSphere_HS(w,x) : FitFunc |
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61 | Wave w |
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62 | Variable x |
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63 | |
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64 | Variable inten |
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65 | |
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66 | //setup form factor coefficient wave |
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67 | Make/O/D/N=5 form_RECT_HS |
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68 | form_RECT_HS[0] = 1 |
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69 | form_RECT_HS[1] = w[1] |
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70 | form_RECT_HS[2] = w[2] |
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71 | form_RECT_HS[3] = w[3] |
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72 | form_RECT_HS[4] = 0 |
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73 | |
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74 | //calculate the diameter of the effective one-component sphere |
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75 | Variable pd,diam,zz,Vpoly,Ravg |
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76 | pd = w[2] |
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77 | zz = (1/pd)^2 - 1 |
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78 | Ravg = w[1] // <R^3> = Ravg^3*(1+3*pd^2) |
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79 | |
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80 | Vpoly = 4*pi/3*Ravg^3*(1+3*pd^2) |
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81 | diam = (6*Vpoly/pi)^(1/3) |
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82 | |
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83 | //setup structure factor coefficient wave |
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84 | Make/O/D/N=2 struct_RECT_HS |
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85 | struct_RECT_HS[0] = diam/2 |
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86 | struct_RECT_HS[1] = w[0] |
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87 | |
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88 | //calculate each and combine |
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89 | inten = PolyRectSpheres(form_RECT_HS,x) |
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90 | inten *= HardSphereStruct(struct_RECT_HS,x) |
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91 | inten *= w[0] |
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92 | inten += w[4] |
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93 | |
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94 | //cleanup waves |
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95 | // Killwaves/Z form_RECT_HS,struct_RECT_HS |
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96 | |
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97 | return (inten) |
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98 | End |
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99 | |
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100 | ///////////////////////////////////////// |
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101 | Proc PlotPolyRectSphere_SW(num,qmin,qmax) |
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102 | Variable num=256,qmin=0.001,qmax=0.7 |
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103 | Prompt num "Enter number of data points for model: " |
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104 | Prompt qmin "Enter minimum q-value (^-1) for model: " |
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105 | Prompt qmax "Enter maximum q-value (^-1) for model: " |
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106 | |
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107 | Make/O/D/n=(num) xwave_RECT_SW,ywave_RECT_SW |
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108 | xwave_RECT_SW = alog(log(qmin) + x*((log(qmax)-log(qmin))/num)) |
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109 | Make/O/D coef_RECT_SW = {0.1,60,0.1,6e-6,1.0,1.2,0.0001} |
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110 | make/o/t parameters_RECT_SW = {"volume fraction","avg radius(A)","polydispersity","contrast (A-2)","well depth (kT)","well width (diam.)","bkg (cm-1)"} |
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111 | Edit/K=1 parameters_RECT_SW,coef_RECT_SW |
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112 | ywave_RECT_SW := PolyRectSphere_SW(coef_RECT_SW,xwave_RECT_SW) |
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113 | Display/K=1 ywave_RECT_SW vs xwave_RECT_SW |
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114 | ModifyGraph log=1,marker=29,msize=2,mode=4 |
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115 | Label bottom "q (\\S-1\\M)" |
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116 | Label left "Intensity (cm\\S-1\\M)" |
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117 | |
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118 | AutoPositionWindow/M=1/R=$(WinName(0,1)) $WinName(0,2) |
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119 | End |
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120 | |
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121 | Proc PlotSmearedPolyRectSphere_SW() |
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122 | //no input parameters necessary, it MUST use the experimental q-values |
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123 | // from the experimental data read in from an AVE/QSIG data file |
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124 | |
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125 | // if no gQvals wave, data must not have been loaded => abort |
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126 | if(ResolutionWavesMissing()) |
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127 | Abort |
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128 | endif |
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129 | |
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130 | // Setup parameter table for model function |
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131 | Make/O/D smear_coef_RECT_SW = {0.1,60,0.1,6e-6,1.0,1.2,0.0001} |
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132 | make/o/t smear_parameters_RECT_SW = {"volume fraction","avg radius(A)","polydispersity","contrast (A-2)","well depth (kT)","well width (diam.)","bkg (cm-1)"} |
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133 | Edit smear_parameters_RECT_SW,smear_coef_RECT_SW |
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134 | |
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135 | // output smeared intensity wave, dimensions are identical to experimental QSIG values |
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136 | // make extra copy of experimental q-values for easy plotting |
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137 | Duplicate/O $gQvals smeared_RECT_SW,smeared_qvals |
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138 | SetScale d,0,0,"1/cm",smeared_RECT_SW |
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139 | |
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140 | smeared_RECT_SW := SmearedPolyRectSphere_SW(smear_coef_RECT_SW,$gQvals) |
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141 | Display smeared_RECT_SW vs smeared_qvals |
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142 | ModifyGraph log=1,marker=29,msize=2,mode=4 |
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143 | Label bottom "q (\\S-1\\M)" |
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144 | Label left "Intensity (cm\\S-1\\M)" |
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145 | |
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146 | AutoPositionWindow/M=1/R=$(WinName(0,1)) $WinName(0,2) |
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147 | End |
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148 | |
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149 | Function PolyRectSphere_SW(w,x) : FitFunc |
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150 | Wave w |
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151 | Variable x |
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152 | |
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153 | Variable inten |
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154 | |
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155 | //setup form factor coefficient wave |
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156 | Make/O/D/N=5 form_RECT_SW |
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157 | form_RECT_SW[0] = 1 |
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158 | form_RECT_SW[1] = w[1] |
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159 | form_RECT_SW[2] = w[2] |
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160 | form_RECT_SW[3] = w[3] |
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161 | form_RECT_SW[4] = 0 |
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162 | |
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163 | //calculate the diameter of the effective one-component sphere |
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164 | Variable pd,diam,zz,Vpoly,Ravg |
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165 | pd = w[2] |
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166 | zz = (1/pd)^2 - 1 |
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167 | Ravg = w[1] // <R^3> = Ravg^3*(1+3*pd^2) |
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168 | |
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169 | Vpoly = 4*pi/3*Ravg^3*(1+3*pd^2) |
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170 | diam = (6*Vpoly/pi)^(1/3) |
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171 | |
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172 | //setup structure factor coefficient wave |
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173 | Make/O/D/N=4 struct_RECT_SW |
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174 | struct_RECT_SW[0] = diam/2 |
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175 | struct_RECT_SW[1] = w[0] |
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176 | struct_RECT_SW[2] = w[4] |
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177 | struct_RECT_SW[3] = w[5] |
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178 | |
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179 | //calculate each and combine |
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180 | inten = PolyRectSpheres(form_RECT_SW,x) |
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181 | inten *= SquareWellStruct(struct_RECT_SW,x) |
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182 | inten *= w[0] |
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183 | inten += w[6] |
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184 | |
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185 | //cleanup waves |
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186 | // Killwaves/Z form_RECT_SW,struct_RECT_SW |
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187 | |
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188 | return (inten) |
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189 | End |
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190 | |
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191 | |
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192 | ///////////////////////////////////////// |
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193 | Proc PlotPolyRectSphere_SC(num,qmin,qmax) |
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194 | Variable num=256,qmin=0.001,qmax=0.7 |
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195 | Prompt num "Enter number of data points for model: " |
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196 | Prompt qmin "Enter minimum q-value (^-1) for model: " |
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197 | Prompt qmax "Enter maximum q-value (^-1) for model: " |
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198 | |
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199 | if (DataFolderExists("root:HayPenMSA")) |
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200 | Make/O/D/N=17 root:HayPenMSA:gMSAWave |
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201 | else |
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202 | NewDataFolder root:HayPenMSA |
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203 | Make/O/D/N=17 root:HayPenMSA:gMSAWave |
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204 | endif |
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205 | |
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206 | Make/O/D/n=(num) xwave_RECT_SC,ywave_RECT_SC |
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207 | xwave_RECT_SC = alog(log(qmin) + x*((log(qmax)-log(qmin))/num)) |
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208 | Make/O/D coef_RECT_SC = {0.1,60,0.1,6e-6,10,0,298,78,0.0001} |
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209 | make/o/t parameters_RECT_SC = {"volume fraction","avg radius (A)","polydispersity","contrast (A-2)","charge","Monovalent salt (M)","Temperature (K)","dielectric const.","bkg (cm-1)"} |
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210 | Edit/K=1 parameters_RECT_SC,coef_RECT_SC |
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211 | ywave_RECT_SC := PolyRectSphere_SC(coef_RECT_SC,xwave_RECT_SC) |
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212 | Display/K=1 ywave_RECT_SC vs xwave_RECT_SC |
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213 | ModifyGraph log=1,marker=29,msize=2,mode=4 |
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214 | Label bottom "q (\\S-1\\M)" |
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215 | Label left "Intensity (cm\\S-1\\M)" |
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216 | |
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217 | AutoPositionWindow/M=1/R=$(WinName(0,1)) $WinName(0,2) |
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218 | End |
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219 | |
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220 | Proc PlotSmearedPolyRectSphere_SC() |
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221 | //no input parameters necessary, it MUST use the experimental q-values |
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222 | // from the experimental data read in from an AVE/QSIG data file |
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223 | |
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224 | // if no gQvals wave, data must not have been loaded => abort |
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225 | if(ResolutionWavesMissing()) |
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226 | Abort |
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227 | endif |
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228 | |
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229 | if (DataFolderExists("root:HayPenMSA")) |
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230 | Make/O/D/N=17 root:HayPenMSA:gMSAWave |
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231 | else |
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232 | NewDataFolder root:HayPenMSA |
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233 | Make/O/D/N=17 root:HayPenMSA:gMSAWave |
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234 | endif |
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235 | |
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236 | // Setup parameter table for model function |
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237 | Make/O/D smear_coef_RECT_SC = {0.1,60,0.1,6e-6,10,0,298,78,0.0001} |
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238 | make/o/t smear_parameters_RECT_SC = {"volume fraction","avg radius (A)","polydispersity","contrast (A-2)","charge","Monovalent salt (M)","Temperature (K)","dielectric const.","bkg (cm-1)"} |
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239 | Edit smear_parameters_RECT_SC,smear_coef_RECT_SC |
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240 | |
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241 | // output smeared intensity wave, dimensions are identical to experimental QSIG values |
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242 | // make extra copy of experimental q-values for easy plotting |
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243 | Duplicate/O $gQvals smeared_RECT_SC,smeared_qvals |
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244 | SetScale d,0,0,"1/cm",smeared_RECT_SC |
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245 | |
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246 | smeared_RECT_SC := SmearedPolyRectSphere_SC(smear_coef_RECT_SC,$gQvals) |
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247 | Display smeared_RECT_SC vs smeared_qvals |
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248 | ModifyGraph log=1,marker=29,msize=2,mode=4 |
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249 | Label bottom "q (\\S-1\\M)" |
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250 | Label left "Intensity (cm\\S-1\\M)" |
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251 | |
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252 | AutoPositionWindow/M=1/R=$(WinName(0,1)) $WinName(0,2) |
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253 | End |
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254 | |
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255 | Function PolyRectSphere_SC(w,x) : FitFunc |
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256 | Wave w |
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257 | Variable x |
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258 | |
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259 | Variable inten |
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260 | |
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261 | //setup form factor coefficient wave |
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262 | Make/O/D/N=5 form_RECT_SC |
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263 | form_RECT_SC[0] = 1 |
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264 | form_RECT_SC[1] = w[1] |
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265 | form_RECT_SC[2] = w[2] |
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266 | form_RECT_SC[3] = w[3] |
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267 | form_RECT_SC[4] = 0 |
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268 | |
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269 | //calculate the diameter of the effective one-component sphere |
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270 | Variable pd,diam,zz,Vpoly,Ravg |
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271 | pd = w[2] |
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272 | zz = (1/pd)^2 - 1 |
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273 | Ravg = w[1] // <R^3> = Ravg^3*(1+3*pd^2) |
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274 | |
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275 | Vpoly = 4*pi/3*Ravg^3*(1+3*pd^2) |
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276 | diam = (6*Vpoly/pi)^(1/3) |
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277 | |
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278 | //setup structure factor coefficient wave |
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279 | Make/O/D/N=6 struct_RECT_SC |
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280 | struct_RECT_SC[0] = diam |
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281 | struct_RECT_SC[1] = w[4] |
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282 | struct_RECT_SC[2] = w[0] |
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283 | struct_RECT_SC[3] = w[6] |
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284 | struct_RECT_SC[4] = w[5] |
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285 | struct_RECT_SC[5] = w[7] |
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286 | |
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287 | //calculate each and combine |
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288 | inten = PolyRectSpheres(form_RECT_SC,x) |
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289 | inten *= HayterPenfoldMSA(struct_RECT_SC,x) |
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290 | inten *= w[0] |
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291 | inten += w[8] |
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292 | |
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293 | //cleanup waves |
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294 | // Killwaves/Z form_RECT_SC,struct_RECT_SC |
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295 | |
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296 | return (inten) |
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297 | End |
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298 | |
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299 | ///////////////////////////////////////// |
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300 | Proc PlotPolyRectSphere_SHS(num,qmin,qmax) |
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301 | Variable num=256,qmin=0.001,qmax=0.7 |
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302 | Prompt num "Enter number of data points for model: " |
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303 | Prompt qmin "Enter minimum q-value (^-1) for model: " |
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304 | Prompt qmax "Enter maximum q-value (^-1) for model: " |
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305 | |
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306 | Make/O/D/n=(num) xwave_RECT_SHS,ywave_RECT_SHS |
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307 | xwave_RECT_SHS = alog(log(qmin) + x*((log(qmax)-log(qmin))/num)) |
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308 | Make/O/D coef_RECT_SHS = {0.1,60,0.1,6e-6,0.05,0.2,0.0001} |
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309 | make/o/t parameters_RECT_SHS = {"volume fraction","avg radius(A)","polydispersity","contrast (A-2)","perturbation parameter (0.1)","stickiness, tau","bkg (cm-1)"} |
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310 | Edit/K=1 parameters_RECT_SHS,coef_RECT_SHS |
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311 | ywave_RECT_SHS := PolyRectSphere_SHS(coef_RECT_SHS,xwave_RECT_SHS) |
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312 | Display/K=1 ywave_RECT_SHS vs xwave_RECT_SHS |
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313 | ModifyGraph log=1,marker=29,msize=2,mode=4 |
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314 | Label bottom "q (\\S-1\\M)" |
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315 | Label left "Intensity (cm\\S-1\\M)" |
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316 | |
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317 | AutoPositionWindow/M=1/R=$(WinName(0,1)) $WinName(0,2) |
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318 | End |
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319 | |
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320 | Proc PlotSmearedPolyRectSphere_SHS() |
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321 | //no input parameters necessary, it MUST use the experimental q-values |
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322 | // from the experimental data read in from an AVE/QSIG data file |
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323 | |
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324 | // if no gQvals wave, data must not have been loaded => abort |
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325 | if(ResolutionWavesMissing()) |
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326 | Abort |
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327 | endif |
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328 | |
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329 | // Setup parameter table for model function |
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330 | Make/O/D smear_coef_RECT_SHS = {0.1,60,0.1,6e-6,0.05,0.2,0.0001} |
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331 | make/o/t smear_parameters_RECT_SHS = {"volume fraction","avg radius(A)","polydispersity","contrast (A-2)","perturbation parameter (0.1)","stickiness, tau","bkg (cm-1)"} |
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332 | Edit smear_parameters_RECT_SHS,smear_coef_RECT_SHS |
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333 | |
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334 | // output smeared intensity wave, dimensions are identical to experimental QSIG values |
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335 | // make extra copy of experimental q-values for easy plotting |
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336 | Duplicate/O $gQvals smeared_RECT_SHS,smeared_qvals |
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337 | SetScale d,0,0,"1/cm",smeared_RECT_SHS |
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338 | |
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339 | smeared_RECT_SHS := SmearedPolyRectSphere_SHS(smear_coef_RECT_SHS,$gQvals) |
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340 | Display smeared_RECT_SHS vs smeared_qvals |
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341 | ModifyGraph log=1,marker=29,msize=2,mode=4 |
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342 | Label bottom "q (\\S-1\\M)" |
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343 | Label left "Intensity (cm\\S-1\\M)" |
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344 | |
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345 | AutoPositionWindow/M=1/R=$(WinName(0,1)) $WinName(0,2) |
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346 | End |
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347 | |
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348 | Function PolyRectSphere_SHS(w,x) : FitFunc |
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349 | Wave w |
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350 | Variable x |
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351 | |
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352 | Variable inten |
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353 | |
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354 | //setup form factor coefficient wave |
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355 | Make/O/D/N=5 form_RECT_SHS |
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356 | form_RECT_SHS[0] = 1 |
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357 | form_RECT_SHS[1] = w[1] |
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358 | form_RECT_SHS[2] = w[2] |
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359 | form_RECT_SHS[3] = w[3] |
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360 | form_RECT_SHS[4] = 0 |
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361 | |
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362 | //calculate the diameter of the effective one-component sphere |
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363 | Variable pd,diam,zz,Vpoly,Ravg |
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364 | pd = w[2] |
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365 | zz = (1/pd)^2 - 1 |
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366 | Ravg = w[1] // <R^3> = Ravg^3*(1+3*pd^2) |
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367 | |
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368 | Vpoly = 4*pi/3*Ravg^3*(1+3*pd^2) |
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369 | diam = (6*Vpoly/pi)^(1/3) |
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370 | |
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371 | //setup structure factor coefficient wave |
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372 | Make/O/D/N=4 struct_RECT_SHS |
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373 | struct_RECT_SHS[0] = diam/2 |
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374 | struct_RECT_SHS[1] = w[0] |
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375 | struct_RECT_SHS[2] = w[4] |
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376 | struct_RECT_SHS[3] = w[5] |
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377 | |
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378 | //calculate each and combine |
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379 | inten = PolyRectSpheres(form_RECT_SHS,x) |
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380 | inten *= StickyHS_Struct(struct_RECT_SHS,x) |
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381 | inten *= w[0] |
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382 | inten += w[6] |
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383 | |
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384 | //cleanup waves |
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385 | // Killwaves/Z form_RECT_SHS,struct_RECT_SHS |
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386 | |
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387 | return (inten) |
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388 | End |
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389 | |
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390 | |
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391 | |
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392 | // this is all there is to the smeared calculation! |
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393 | Function SmearedPolyRectSphere_HS(w,x) :FitFunc |
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394 | Wave w |
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395 | Variable x |
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396 | |
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397 | Variable ans |
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398 | SVAR sq = gSig_Q |
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399 | SVAR qb = gQ_bar |
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400 | SVAR sh = gShadow |
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401 | SVAR gQ = gQVals |
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402 | |
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403 | //the name of your unsmeared model is the first argument |
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404 | ans = Smear_Model_20(PolyRectSphere_HS,$sq,$qb,$sh,$gQ,w,x) |
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405 | |
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406 | return(ans) |
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407 | End |
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408 | |
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409 | // this is all there is to the smeared calculation! |
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410 | Function SmearedPolyRectSphere_SW(w,x) :FitFunc |
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411 | Wave w |
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412 | Variable x |
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413 | |
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414 | Variable ans |
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415 | SVAR sq = gSig_Q |
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416 | SVAR qb = gQ_bar |
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417 | SVAR sh = gShadow |
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418 | SVAR gQ = gQVals |
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419 | |
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420 | //the name of your unsmeared model is the first argument |
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421 | ans = Smear_Model_20(PolyRectSphere_SW,$sq,$qb,$sh,$gQ,w,x) |
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422 | |
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423 | return(ans) |
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424 | End |
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425 | |
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426 | // this is all there is to the smeared calculation! |
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427 | Function SmearedPolyRectSphere_SC(w,x) :FitFunc |
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428 | Wave w |
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429 | Variable x |
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430 | |
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431 | Variable ans |
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432 | SVAR sq = gSig_Q |
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433 | SVAR qb = gQ_bar |
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434 | SVAR sh = gShadow |
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435 | SVAR gQ = gQVals |
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436 | |
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437 | //the name of your unsmeared model is the first argument |
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438 | ans = Smear_Model_20(PolyRectSphere_SC,$sq,$qb,$sh,$gQ,w,x) |
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439 | |
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440 | return(ans) |
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441 | End |
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442 | |
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443 | // this is all there is to the smeared calculation! |
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444 | Function SmearedPolyRectSphere_SHS(w,x) :FitFunc |
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445 | Wave w |
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446 | Variable x |
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447 | |
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448 | Variable ans |
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449 | SVAR sq = gSig_Q |
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450 | SVAR qb = gQ_bar |
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451 | SVAR sh = gShadow |
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452 | SVAR gQ = gQVals |
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453 | |
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454 | //the name of your unsmeared model is the first argument |
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455 | ans = Smear_Model_20(PolyRectSphere_SHS,$sq,$qb,$sh,$gQ,w,x) |
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456 | |
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457 | return(ans) |
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458 | End |
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