### Rotated Pyramids

Scattering from a monodisperse distribution of rotated pyramids.

This example illustrates how the in-plane rotation of non-radially symmetric particles influences the scattering pattern.

• The sample is made of pyramids deposited on a substrate.
• Each pyramid is characterized by a squared-base side length of $10$ nm, a height of $5$ nm, and a base angle $\alpha$ equal to $54.73^{\circ}$.
• These particles are rotated in the $(x, y)$ plane by $45^{\circ}$.
• There is no interference between the scattered waves.
• The wavelength is equal to $1$ $\unicode{x212B}$.
• The incident angles are $\alpha_i = 0.2 ^{\circ}$ 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 """ Rotated pyramids on top of substrate """ import bornagain as ba from bornagain import deg, angstrom, nm def get_sample(): """ Returns a sample with rotated pyramids on top of a substrate. """ # defining materials m_ambience = ba.HomogeneousMaterial("Air", 0.0, 0.0) m_substrate = ba.HomogeneousMaterial("Substrate", 6e-6, 2e-8) m_particle = ba.HomogeneousMaterial("Particle", 6e-4, 2e-8) # collection of particles pyramid_ff = ba.FormFactorPyramid(10*nm, 5*nm, 54.73*deg) pyramid = ba.Particle(m_particle, pyramid_ff) transform = ba.RotationZ(45.*deg) particle_layout = ba.ParticleLayout() particle_layout.addParticle( pyramid, 1.0, ba.kvector_t(0.0, 0.0, 0.0), transform) air_layer = ba.Layer(m_ambience) air_layer.addLayout(particle_layout) substrate_layer = ba.Layer(m_substrate) multi_layer = ba.MultiLayer() multi_layer.addLayer(air_layer) multi_layer.addLayer(substrate_layer) return multi_layer def get_simulation(): """ Returns a GISAXS simulation with beam and detector defined. """ simulation = ba.GISASSimulation() simulation.setDetectorParameters(200, -2.0*deg, 2.0*deg, 200, 0.0*deg, 2.0*deg) simulation.setBeamParameters(1.0*angstrom, 0.2*deg, 0.0*deg) return simulation def run_simulation(): """ Runs simulation and returns intensity map. """ simulation = get_simulation() simulation.setSample(get_sample()) simulation.runSimulation() return simulation.result() if __name__ == '__main__': result = run_simulation() ba.plot_simulation_result(result, cmap='jet', aspect='auto')
RotatedPyramids.py