### Interference - Square Finite Lattice

This example demonstrates how to perform a simulation of scattering from cylinders positioned in a finite square lattice (as opposed to the standard infinite lattice model).

This example is similar to Interference of a rotated square lattice.

  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  #!/usr/bin/env python3 """ Cylinders on a 2D square lattice """ import bornagain as ba from bornagain import deg, nm, nm2 def get_sample(): """ Returns a sample with cylinders on a substrate, forming a 2D square lattice. """ # 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.FormFactorCylinder(3*nm, 3*nm) # Define particles particle = ba.Particle(material_Particle, ff) # Define 2D lattices lattice = ba.BasicLattice2D(25*nm, 25*nm, 90*deg, 0) # Define interference functions iff = ba.InterferenceFunctionFinite2DLattice(lattice, 40, 40) iff.setPositionVariance(1*nm2) # Define particle layouts layout = ba.ParticleLayout() layout.addParticle(particle) layout.setInterferenceFunction(iff) layout.setTotalParticleSurfaceDensity(0.0016) # 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) 
Interference2DSquareFiniteLattice.py