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Simulation of wide-angle grazing-incidence diffraction patterns

Project description

pygidSIM

pygidSIM calculates GIWAXS patterns from CIF files or other crystal structure descriptions.

GIDSIM

Installation

Install from PyPi

pip install pygidsim

Install from source

First, clone the repository:

git clone https://github.com/mlgid-project/pygidSIM.git

Then, to install all required modules, navigate to the cloned directory and execute:

cd pygidSIM
pip install -e .

Development Installation

For development and testing, install with development dependencies:

pip install -e .[dev]

Testing

The project uses pytest for testing. To run the test suite:

# Run all tests
pytest

# Run tests with coverage report
pytest --cov=pygidsim --cov-report=html

# Run tests in parallel
pytest -n auto

Usage

From CIF

To calculate the peak positions and their intensities in 2D GIWAXS pattern (qxy, qz) from a CIF file with the default orientation hkl = [001] (vector normal to the substrate, i.e. {001} contact plane) run the following:

from pygidsim.experiment import ExpParameters
from pygidsim.giwaxs_sim import GIWAXSFromCif

params = ExpParameters(
    q_xy_range=(0, 2.7),
    q_z_range=(0, 2.7),
    en=18000
)  # experimental parameters
el = GIWAXSFromCif(path_to_cif, params)
q_2d, intensity = el.giwaxs.giwaxs_sim()  # q_2d is array with shape (2, peaks number)

To add a crystal rotation use the argument orientation with the value "random" or a numpy array containing the corresponding Miller indices [hkl]:

q_2d, intensity = el.giwaxs.giwaxs_sim(orientation='random')

q_2d, intensity = el.giwaxs.giwaxs_sim(orientation=numpy.array([2., 0., 1.]))

For 3D powder diffraction simulation (non-oriented case) use orientation=None:

q_1d, intensity_1d = el.giwaxs.giwaxs_sim(orientation=None)

To return the Miller indices, you can use the argument return_mi = True:

q_2d, intensity, mi = el.giwaxs.giwaxs_sim(return_mi=True)

To restrict the maximum Miller index for simulation use the argument max_mi:

q_2d, intensity = el.giwaxs.giwaxs_sim(max_mi=3)

Crystal description

To calculate a GIWAXS pattern from your own description, use the following example:

import numpy as np
from pygidsim.giwaxs_sim import GIWAXS, Crystal

# space group number
spgr = 221  # alternatively, use e.g. '146:R'

# lattice parameters [a, b, c, α, β, γ]
lat_par = np.array([6.3026, 6.3026, 6.3026, 90., 90., 90.], dtype=np.float32)

# list of atoms
atoms = np.array(['Pb', 'I', 'I', 'I', 'N'])

# relative atom positions
atom_positions = np.array(
    [[0., 0., 0.],
     [0.5, 0., 0.],
     [0., 0.5, 0.],
     [0., 0., 0.5],
     [0.5, 0.5, 0.5]], dtype=np.float32
)

# occupancies of the corresponding sites
occupancy = np.array([1., 1., 1., 1., 1.], dtype=np.float32)

cr = Crystal(lat_par, spgr, atoms, atom_positions, occupancy)
el = GIWAXS(cr, params)
q_2d, intensity = el.giwaxs_sim(orientation='random')

The intensities are set to one in case the arguments atoms or/and atom_positions are not provided.

Visualization

One can visualize a GIWAXS pattern using matplotlib:

import matplotlib.pyplot as plt
from mpl_toolkits.axes_grid1.axes_divider import make_axes_locatable

fig, ax = plt.subplots(figsize=(5, 5))
ax.set_aspect('equal')
scatter = ax.scatter(*q_2d, c=intensity, cmap='Reds')

ax.set_xlabel(r'$q_{xy}$ $(Å^{-1})$', fontsize=18)
ax.set_ylabel(r'$q_{z}$ $(Å^{-1})$', fontsize=18)

divider = make_axes_locatable(ax)

# Append a new axes for the color bar to the right of the current axes
cax = divider.append_axes("right", size="5%", pad=0.05)

# Create color bar in the new axes
colorbar = fig.colorbar(scatter, cax=cax)
colorbar.set_label('Intensity')

plt.show()

Citation

If you use this package in your research, please cite it as follows:

Romodin, M., Starostin, V., Lapkin, D., Hinderhofer, A., & Schreiber, F. (2025).
mlgid-project/pygidSIM: v0.1.1. Zenodo. https://doi.org/10.5281/zenodo.17609569

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