x-ray optics package
Project description
pyxro for X-Ray Optics
The python X-Ray Optics package allows for the calculation of reflectivity and photoelectron emission intensities of multilayer samples as a function of incident angle or photon energy.
It is based on YXRO from Yang et al. [doi]. The simulation code includes important x-ray optical effects such as total reflection at grazing incidence, core-level resonance, and standing-wave effects.
The code in this repository is still in development and is composed of two parts:
pyxro: the main part of the code that allows to create/manipulate samples and run physics simulations.webapp: a web interface built with Dash to operate pyxro
Examples
[Mo/Si]x5 3.4 nm multilayer mirror with oxidized Si layer and C on top
import pyxro.multilayer as xroml
sample = xroml.MultilayerSample(name = 'Mo/Si 3.4 nm')
sample.add_layer(layer = {'name': 'C', 'formula': 'C', 'density': 1.0, 'thickness': 5.0})
sample.add_layer(template='SiO2', layer = {'name': 'SiO2', 'thickness': 8.0})
sample.add_layer(template='Si', layer = {'name': 'Si', 'thickness': 15.0})
sample.add_layer(template='Mo', layer = {'name': 'Mo', 'thickness': 13.6, 'repeat': 5})
sample.add_layer(template='Si', layer = {'name': 'Si', 'thickness': 20.4, 'repeat': 5})
sample.add_layer(template='Si', layer = {'name': 'Substrate'})
sample.get_sample()
| id | name | formula | density | repeat | thickness | molecular_weight | nve | energy_gap | |
|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | C | C | 1.0 | 1 | 5.0 | 12.0107 | 4 | 0.00 |
| 1 | 2 | SiO2 | SiO2 | 2.2 | 1 | 8.0 | 60.0843 | 16 | 9.00 |
| 2 | 3 | Si | Si | 2.3 | 1 | 15.0 | 28.0855 | 4 | 1.12 |
| 3 | 4 | Mo | Mo | 10.1 | 5 | 13.6 | 95.9400 | 6 | 0.00 |
| 4 | 5 | Si | Si | 2.3 | 5 | 20.4 | 28.0855 | 4 | 1.12 |
| 5 | 6 | Substrate | Si | 2.3 | 1 | 0.0 | 28.0855 | 4 | 1.12 |
sample.get_fullsample()
| id | name | formula | density | repeat | thickness | molecular_weight | nve | energy_gap | interdiffusion | interdiffusion_type | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 0 | Vacuum | 0.0 | 1 | 100.0 | 0.0000 | 0 | 0.00 | 0.0 | none | |
| 1 | 1 | C | C | 1.0 | 1 | 5.0 | 12.0107 | 4 | 0.00 | 0.0 | none |
| 2 | 2 | SiO2 | SiO2 | 2.2 | 1 | 8.0 | 60.0843 | 16 | 9.00 | 0.0 | none |
| 3 | 3 | Si | Si | 2.3 | 1 | 15.0 | 28.0855 | 4 | 1.12 | 0.0 | none |
| 4 | 4 | Mo_1 | Mo | 10.1 | 5 | 13.6 | 95.9400 | 6 | 0.00 | 0.0 | none |
| 5 | 5 | Si_1 | Si | 2.3 | 5 | 20.4 | 28.0855 | 4 | 1.12 | 0.0 | none |
| 6 | 4 | Mo_2 | Mo | 10.1 | 5 | 13.6 | 95.9400 | 6 | 0.00 | 0.0 | none |
| 7 | 5 | Si_2 | Si | 2.3 | 5 | 20.4 | 28.0855 | 4 | 1.12 | 0.0 | none |
| 8 | 4 | Mo_3 | Mo | 10.1 | 5 | 13.6 | 95.9400 | 6 | 0.00 | 0.0 | none |
| 9 | 5 | Si_3 | Si | 2.3 | 5 | 20.4 | 28.0855 | 4 | 1.12 | 0.0 | none |
| 10 | 4 | Mo_4 | Mo | 10.1 | 5 | 13.6 | 95.9400 | 6 | 0.00 | 0.0 | none |
| 11 | 5 | Si_4 | Si | 2.3 | 5 | 20.4 | 28.0855 | 4 | 1.12 | 0.0 | none |
| 12 | 4 | Mo_5 | Mo | 10.1 | 5 | 13.6 | 95.9400 | 6 | 0.00 | 0.0 | none |
| 13 | 5 | Si_5 | Si | 2.3 | 5 | 20.4 | 28.0855 | 4 | 1.12 | 0.0 | none |
| 14 | 6 | Substrate | Si | 2.3 | 1 | 0.0 | 28.0855 | 4 | 1.12 | NaN | NaN |
sample.set_axis(axis='incident_angle', range = (0, 0.02, 10))
sample.set_axis(axis='photon_energy', fixed_value = 3000)
sample.calculate_optical_constants()
Refl = sample.calculate_reflectivity()
Refl.plot(yscale='log', figsize=(4,3));
EF = sample.calculate_electric_field()
EF.T.plot(yincrease=False, figsize=(3,4));
import pyxro.calculation as xrocalc
calc = xrocalc.Calculation(sample)
calc.get_single_photoemission(label = 'Mo', Ank='Mo3d', layers=[4])
calc.photoemission.T.plot(yincrease=False, figsize=(3,4))
calc.photoemission.integrate('depth').plot(figsize=(4,3));
Webapp screenshots
Defining a sample:
Reflectivity calculation:
Electric field calculation:
Relative PES intensities of levels for all incident angles:
Copyright
MLExchange Copyright (c) 2024, The Regents of the University of California, through Lawrence Berkeley National Laboratory (subject to receipt of any required approvals from the U.S. Dept. of Energy). All rights reserved.
If you have questions about your rights to use or distribute this software, please contact Berkeley Lab's Intellectual Property Office at IPO@lbl.gov.
NOTICE. This Software was developed under funding from the U.S. Department of Energy and the U.S. Government consequently retains certain rights. As such, the U.S. Government has been granted for itself and others acting on its behalf a paid-up, nonexclusive, irrevocable, worldwide license in the Software to reproduce, distribute copies to the public, prepare derivative works, and perform publicly and display publicly, and to permit others to do so.
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