1 | #!/usr/bin/env python |
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2 | """ |
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3 | |
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4 | Provide F(x) = K*1/(4*pi*Lb*(alpha)^(2))*(q^(2)+k2)/(1+(r02)^(2))*(q^(2)+k2)\ |
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5 | *(q^(2)-(12*h*C/b^(2))) |
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6 | BEPolyelectrolyte as a BaseComponent model |
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7 | """ |
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8 | |
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9 | from sans.models.BaseComponent import BaseComponent |
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10 | import math |
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11 | |
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12 | class BEPolyelectrolyte(BaseComponent): |
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13 | |
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14 | """ |
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15 | Class that evaluates a BEPolyelectrolyte. |
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16 | |
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17 | F(x) = K*1/(4*pi*Lb*(alpha)^(2))*(q^(2)+k2)/(1+(r02)^(2))*(q^(2)+k2)\ |
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18 | *(q^(2)-(12*h*C/b^(2))) |
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19 | |
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20 | The model has Eight parameters: |
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21 | K = Constrast factor of the polymer |
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22 | Lb = Bjerrum length |
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23 | H = virial parameter |
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24 | B = monomer length |
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25 | Cs = Concentration of monovalent salt |
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26 | alpha = ionazation degree |
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27 | C = polymer molar concentration |
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28 | bkd = background |
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29 | """ |
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30 | |
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31 | def __init__(self): |
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32 | """ Initialization """ |
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33 | |
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34 | # Initialize BaseComponent first, then sphere |
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35 | BaseComponent.__init__(self) |
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36 | |
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37 | ## Name of the model |
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38 | self.name = "BEPolyelectrolyte" |
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39 | self.description=""" |
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40 | F(x) = K*1/(4*pi*Lb*(alpha)^(2))*(q^(2)+k2)/(1+(r02)^(2))*(q^(2)+k2)\ |
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41 | *(q^(2)-(12*h*C/b^(2))) |
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42 | The model has Eight parameters: |
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43 | K = Constrast factor of the polymer |
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44 | Lb = Bjerrum length |
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45 | H = virial parameter |
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46 | B = monomer length |
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47 | Cs = Concentration of monovalent salt |
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48 | alpha = ionazation degree |
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49 | C = polymer molar concentration |
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50 | bkd = background |
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51 | """ |
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52 | ## Define parameters |
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53 | self.params = {} |
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54 | self.params['k'] = 10 |
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55 | self.params['lb'] = 7.1 |
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56 | self.params['h'] = 12 |
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57 | self.params['b'] = 10 |
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58 | self.params['cs'] = 0.0 |
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59 | self.params['alpha']= 0.05 |
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60 | self.params['c'] = 0.7 |
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61 | self.params['background'] = 0.0 |
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62 | |
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63 | |
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64 | ## Parameter details [units, min, max] |
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65 | self.details = {} |
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66 | self.details['k'] = ['barns', None, None] |
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67 | self.details['lb'] = ['A', None, None] |
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68 | self.details['h'] = ['A-3', None, None] |
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69 | self.details['b'] = ['A', None, None] |
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70 | self.details['cs'] = ['mol/L', None, None] |
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71 | self.details['alpha'] = ['', None, None] |
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72 | self.details['c'] = ['mol/L', None, None] |
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73 | self.details['background'] = ['cm-1', None, None] |
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74 | |
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75 | |
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76 | def _BEPoly(self, x): |
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77 | """ |
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78 | Evaluate |
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79 | F(x) = K*1/(4*pi*Lb*(alpha)^(2))*(q^(2)+k2)/(1+(r02)^(2))*(q^(2)+k2)\ |
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80 | *(q^(2)-(12*h*C/b^(2))) |
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81 | |
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82 | has 3 internal parameters : |
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83 | The inverse Debye Length: K2 = 4*pi*Lb*(2*Cs+alpha*C) |
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84 | r02 =1/alpha/Ca^(0.5)*(B/(48*pi*Lb)^(0.5)) |
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85 | Ca = C*6.022136e-4 |
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86 | """ |
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87 | Ca = self.params['c'] * 6.022136e-4 |
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88 | |
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89 | K2 = 4.0 * math.pi * self.params['lb'] * (2*self.params['cs'] + \ |
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90 | self.params['alpha'] * Ca) |
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91 | |
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92 | r02 = 1.0/self.params['alpha']/math.sqrt(Ca) * \ |
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93 | (self.params['b']/math.sqrt((48.0*math.pi *self.params['lb']))) |
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94 | |
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95 | return self.params['k']/( 4.0 * math.pi * self.params['lb'] * self.params['alpha']**2 ) \ |
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96 | * ( x**2 + K2 ) / ( 1.0 + r02**2 * ( x**2 + K2 ) \ |
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97 | * (x**2 - ( 12.0 * self.params['h'] \ |
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98 | * Ca/(self.params['b']**2) ))) \ |
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99 | + self.params['background'] |
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100 | |
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101 | |
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102 | def run(self, x = 0.0): |
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103 | """ Evaluate the model |
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104 | @param x: input q-value (float or [float, float] as [r, theta]) |
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105 | @return: (debye value) |
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106 | """ |
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107 | if x.__class__.__name__ == 'list': |
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108 | return self._BEPoly(x[0]) |
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109 | elif x.__class__.__name__ == 'tuple': |
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110 | raise ValueError, "Tuples are not allowed as input to BaseComponent models" |
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111 | else: |
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112 | return self._BEPoly(x) |
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113 | |
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114 | def runXY(self, x = 0.0): |
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115 | """ Evaluate the model |
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116 | @param x: input q-value (float or [float, float] as [qx, qy]) |
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117 | @return: debye value |
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118 | """ |
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119 | if x.__class__.__name__ == 'list': |
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120 | q = math.sqrt(x[0]**2 + x[1]**2) |
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121 | return self._BEPoly(q) |
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122 | elif x.__class__.__name__ == 'tuple': |
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123 | raise ValueError, "Tuples are not allowed as input to BaseComponent models" |
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124 | else: |
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125 | return self._BEPoly(x) |
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