### All available form factors

Scattering from all individual particle’s shapes implemented in BornAgain. For each figure, one particular shape is used.

The dimensions of the object are chosen only in order to get a characteristic signature of the form factor in the same range of values for the output angles.

• The simulation is run using the Born approximation. There is no substrate and also no interference between the scattered waves.
• The wavelength is equal to $1$ $\unicode{x212B}$.
• The incident angles are equal to $\alpha_i = 0.2 ^{\circ}$ and $\phi_i = 0^{\circ}$.
  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113  """ All formfactors available in BornAgain in the Born Approximation """ import numpy import bornagain as ba from bornagain import deg, angstrom from matplotlib import pyplot as plt phi_min, phi_max = -2.0, 2.0 alpha_min, alpha_max = 0.0, 2.0 formfactors = [ ba.FormFactorAnisoPyramid(20.0, 16.0, 13.0, 60.0*deg), ba.FormFactorBox(20.0, 16.0, 13.0), ba.FormFactorCone(10.0, 13.0, 60.0*deg), ba.FormFactorCone6(10.0, 13.0, 60.0*deg), ba.FormFactorCuboctahedron(20.0, 13.0, 0.7, 60.0*deg), ba.FormFactorCylinder(8.0, 16.0), ba.FormFactorDodecahedron(5.0), ba.FormFactorEllipsoidalCylinder(8.0, 13.0, 16.0), ba.FormFactorFullSphere(8.0), ba.FormFactorFullSpheroid(10.0, 13.0), ba.FormFactorHemiEllipsoid(10.0, 6.0, 8.0), ba.FormFactorIcosahedron(8.0), ba.FormFactorPrism3(10.0, 13.0), ba.FormFactorPrism6(5.0, 11.0), ba.FormFactorPyramid(18.0, 13.0, 60.0*deg), ba.FormFactorRipple1(27.0, 20.0, 14.0), ba.FormFactorRipple2(36.0, 25.0, 14.0, 3.0), ba.FormFactorTetrahedron(15.0, 6.0, 60.0*deg), ba.FormFactorTruncatedSphere(5.0, 7.0), ba.FormFactorTruncatedSpheroid(7.5, 9.0, 1.2), ba.FormFactorTruncatedCube(15.0, 6.0) ] def get_sample(formfactor): """ Returns a one-layer sample that contains particles with given form factor. """ # defining materials m_ambience = ba.HomogeneousMaterial("Air", 0.0, 0.0) m_particle = ba.HomogeneousMaterial("Particle", 6e-4, 2e-8) # collection of particles particle = ba.Particle(m_particle, formfactor) particle_layout = ba.ParticleLayout() particle_layout.addParticle(particle, 1.0) air_layer = ba.Layer(m_ambience) air_layer.addLayout(particle_layout) multi_layer = ba.MultiLayer() multi_layer.addLayer(air_layer) return multi_layer def get_simulation(): """ Returns GISAXS simulation with standard beam and detector. """ simulation = ba.GISASSimulation() simulation.setDetectorParameters(100, phi_min*deg, phi_max*deg, 100, alpha_min*deg, alpha_max*deg) simulation.setBeamParameters(1.0*angstrom, 0.2*deg, 0.0*deg) return simulation def simulate(ff): """ Runs simulation for one form factor, and returns simulated intensity pattern """ sample = get_sample(ff) simulation = get_simulation() simulation.setSample(sample) simulation.runSimulation() return simulation.result() def run_simulation(): """ Run simulation one by one for every form factor from the list and plot results on a single canvas """ fig = plt.figure(figsize=(12.80, 10.24)) for nplot, ff in enumerate(formfactors): name = ff.__class__.__name__ name = name.replace("FormFactor", "") print("Generating intensity map in BA for '{0}'".format(name)) result = simulate(ff) # showing the result plt.subplot(5, 5, nplot+1) plt.subplots_adjust(wspace=0.3, hspace=0.3) ba.plot_colormap(result, xlabel="", ylabel="", zlabel="", cmap='jet', aspect='auto') plt.tick_params(axis='both', which='major', labelsize=8) plt.tick_params(axis='both', which='minor', labelsize=6) plt.xticks(numpy.arange(phi_min, phi_max+0.0001, 1.0)) plt.text(-0.1, 2.15, name, horizontalalignment='center', verticalalignment='center', fontsize=9) if __name__ == '__main__': run_simulation() plt.show() 
AllFormFactorsAvailable.py