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Uncorrelated mixture of particles

Scattering from a mixture of cylinders and prisms without interference.

  • The sample comprises a substrate on which are deposited, in equal proportion, cylinders and prisms.
  • All particles are made of the same material.
  • Each type of particle has the same orientation.
  • The cylinders are $5$ nm high and $5$ nm in radius.
  • Each prism is $5$ nm high with an equilateral triangular base, whose side length is equal to $10$ nm.
  • There is no interference between the waves scattered by these particles. The distribution is therefore diluted.
  • The incident neutron beam is characterized by a wavelength of 0.1 nm.
  • The incident angles are $\alpha_i = 0.2 ^{\circ}$ and $\varphi_i = 0^{\circ}$.
  • The simulation is performed using the Distorted Wave Born Approximation (due to the presence of a substrate).

Real-space model

Intensity image

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#!/usr/bin/env python3
"""
Mixture of cylinders and prisms without interference
"""
import bornagain as ba
from bornagain import ba_plot as bp, deg, nm

def get_sample():
    """
    A sample with uncorrelated cylinders and prisms on a substrate.
    """

    # Materials
    material_particle = ba.RefractiveMaterial("Particle", 0.0006, 2e-08)
    material_substrate = ba.RefractiveMaterial("Substrate", 6e-06, 2e-08)
    vacuum = ba.RefractiveMaterial("Vacuum", 0, 0)

    # Form factors
    ff_1 = ba.Cylinder(5*nm, 5*nm)
    ff_2 = ba.Prism3(10*nm, 5*nm)

    # Particles
    particle_1 = ba.Particle(material_particle, ff_1)
    particle_2 = ba.Particle(material_particle, ff_2)

    # Particle layouts
    layout = ba.ParticleLayout()
    layout.addParticle(particle_1, 0.5)
    layout.addParticle(particle_2, 0.5)
    layout.setTotalParticleSurfaceDensity(0.01)

    # Layers
    layer_1 = ba.Layer(vacuum)
    layer_1.addLayout(layout)
    layer_2 = ba.Layer(material_substrate)

    # Sample
    sample = ba.MultiLayer()
    sample.addLayer(layer_1)
    sample.addLayer(layer_2)

    return sample


def get_simulation(sample):
    beam = ba.Beam(1e9, 0.1*nm, 0.2*deg)
    n = 100
    detector = ba.Detector2D(2*deg, 2*deg, n, n, 0, 1*deg)
    simulation = ba.ScatteringSimulation(beam, sample, detector)
    return simulation


if __name__ == '__main__':
    sample = get_sample()
    simulation = get_simulation(sample)
    bp.plot_simulation_result(simulation.simulate())
    bp.show_or_export()
auto/Examples/scatter2d/CylindersAndPrisms.py