1 | #if !defined(ellipsoid_h) |
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2 | #define ellipsoid_h |
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3 | |
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4 | /** |
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5 | * Structure definition for ellipsoid parameters |
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6 | * The ellipsoid has axes radius_b, radius_b, radius_a. |
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7 | * Ref: Jan Skov Pedersen, Advances in Colloid and Interface Science, 70 (1997) 171-210 |
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8 | */ |
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9 | //[PYTHONCLASS] = EllipsoidModel |
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10 | //[DISP_PARAMS] = radius_a, radius_b, axis_theta, axis_phi |
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11 | //[DESCRIPTION] = <text>"P(q.alpha)= scale*f(q)^(2)+ bkg\n\ |
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12 | // f(q)= 3*(scatter_sld- scatter_solvent)*V*[sin(q*r(Ra,Rb,alpha)) - q*r*cos(qr(Ra,Rb,alpha))] |
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13 | // /[qr(Ra,Rb,alpha)]^(3)" |
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14 | // r(Ra,Rb,alpha)= [Rb^(2)*(sin(alpha))^(2) + Ra^(2)*(cos(alpha))^(2)]^(1/2) |
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15 | // scatter_sld: scattering length density of the scatter |
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16 | // solvent_sld: scattering length density of the solvent |
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17 | // V: volune of the Eliipsoid |
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18 | // Ra: radius along the rotation axis of the Ellipsoid |
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19 | // Rb: radius perpendicular to the rotation axis of the ellipsoid |
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20 | // </text> |
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21 | typedef struct { |
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22 | /// Scale factor |
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23 | // [DEFAULT]=scale=1.0 |
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24 | double scale; |
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25 | |
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26 | /// Rotation axis radius_a [A] |
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27 | // [DEFAULT]=radius_a=20.0 A |
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28 | double radius_a; |
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29 | |
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30 | /// Radius_b [A] |
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31 | // [DEFAULT]=radius_b=400 A |
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32 | double radius_b; |
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33 | |
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34 | /// Contrast [Å-2] |
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35 | // [DEFAULT]=contrast=3.0e-6 A-2 |
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36 | double contrast; |
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37 | |
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38 | /// Incoherent Background [cm-1] |
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39 | // [DEFAULT]=background=0 cm-1 |
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40 | double background; |
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41 | |
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42 | /// Orientation of the long axis of the ellipsoid w/respect incoming beam [rad] |
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43 | // [DEFAULT]=axis_theta=1.57 rad |
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44 | double axis_theta; |
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45 | /// Orientation of the long axis of the ellipsoid in the plane of the detector [rad] |
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46 | // [DEFAULT]=axis_phi=0.0 rad |
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47 | double axis_phi; |
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48 | } EllipsoidParameters; |
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49 | |
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50 | |
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51 | |
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52 | /// 1D scattering function |
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53 | double ellipsoid_analytical_1D(EllipsoidParameters *pars, double q); |
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54 | |
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55 | /// 2D scattering function |
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56 | double ellipsoid_analytical_2D(EllipsoidParameters *pars, double q, double phi); |
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57 | double ellipsoid_analytical_2DXY(EllipsoidParameters *pars, double qx, double qy); |
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58 | double ellipsoid_analytical_2D_scaled(EllipsoidParameters *pars, double q, double q_x, double q_y); |
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59 | |
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60 | #endif |
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