### 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 $\varphi_i = 0^{\circ}$.
  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  #!/usr/bin/env python3 """ Rotated pyramids on top of substrate """ import bornagain as ba from bornagain import deg, nm def get_sample(): """ Returns a sample with rotated pyramids on top of a substrate. """ # Define materials material_Particle = ba.HomogeneousMaterial("Particle", 0.0006, 2e-08) material_Substrate = ba.HomogeneousMaterial("Substrate", 6e-06, 2e-08) material_Vacuum = ba.HomogeneousMaterial("Vacuum", 0, 0) # Define form factors ff = ba.FormFactorPyramid(10*nm, 5*nm, 54.73*deg) # Define particles particle = ba.Particle(material_Particle, ff) particle_rotation = ba.RotationZ(45*deg) particle.setRotation(particle_rotation) # Define particle layouts layout = ba.ParticleLayout() layout.addParticle(particle) layout.setTotalParticleSurfaceDensity(0.01) # Define layers layer_1 = ba.Layer(material_Vacuum) layer_1.addLayout(layout) layer_2 = ba.Layer(material_Substrate) # Define sample sample = ba.MultiLayer() sample.addLayer(layer_1) sample.addLayer(layer_2) return sample def get_simulation(sample): beam = ba.Beam(1, 0.1*nm, ba.Direction(0.2*deg, 0)) detector = ba.SphericalDetector(200, -2*deg, 2*deg, 200, 0, 2*deg) simulation = ba.GISASSimulation(beam, sample, detector) return simulation if __name__ == '__main__': import ba_plot sample = get_sample() simulation = get_simulation(sample) ba_plot.run_and_plot(simulation) 
RotatedPyramids.py