1 | |
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2 | from numpy import pi, inf |
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3 | |
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4 | name = "CylinderModel" |
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5 | title = "Cylinder with uniform scattering length density" |
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6 | description = """\ |
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7 | f(q)= 2*(sldCyl - sldSolv)*V*sin(qLcos(alpha/2)) |
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8 | /[qLcos(alpha/2)]*J1(qRsin(alpha/2))/[qRsin(alpha)] |
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9 | |
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10 | P(q,alpha)= scale/V*f(q)^(2)+background |
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11 | V: Volume of the cylinder |
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12 | R: Radius of the cylinder |
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13 | L: Length of the cylinder |
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14 | J1: The bessel function |
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15 | alpha: angle betweenthe axis of the |
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16 | cylinder and the q-vector for 1D |
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17 | :the ouput is P(q)=scale/V*integral |
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18 | from pi/2 to zero of... |
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19 | f(q)^(2)*sin(alpha)*dalpha+ bkg |
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20 | """ |
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21 | |
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22 | parameters = [ |
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23 | # [ "name", "units", default, [lower, upper], "type", |
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24 | # "description" ], |
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25 | [ "sldCyl", "1/Ang^2", 4e-6, [-inf,inf], "", |
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26 | "Cylinder scattering length density" ], |
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27 | [ "sldSolv", "1/Ang^2", 1e-6, [-inf,inf], "", |
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28 | "Solvent scattering length density" ], |
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29 | [ "radius", "Ang", 20, [0, inf], "volume", |
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30 | "Cylinder radius" ], |
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31 | [ "length", "Ang", 400, [0, inf], "volume", |
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32 | "Cylinder length" ], |
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33 | [ "cyl_theta", "degrees", 60, [-inf, inf], "orientation", |
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34 | "In plane angle" ], |
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35 | [ "cyl_phi", "degrees", 60, [-inf, inf], "orientation", |
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36 | "Out of plane angle" ], |
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37 | ] |
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38 | source = [ "lib/J1.c", "lib/gauss76.c", "cylinder_clone.c" ] |
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39 | |
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40 | def ER(radius, length): |
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41 | ddd = 0.75*radius*(2*radius*length + (length+radius)*(length+pi*radius)) |
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42 | return 0.5 * (ddd)**(1./3.) |
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43 | |
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