{ "cells": [ { "cell_type": "markdown", "id": "bbf97ee7-805c-4bf8-a0a2-efec4199f306", "metadata": {}, "source": [ "# Energy Spectrum" ] }, { "cell_type": "code", "execution_count": 1, "id": "0e08d6e9", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import nexus as nx\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "iron = nx.Material.Template(nx.lib.material.Fe)\n", "\n", "layer_Fe = nx.Layer(id = \"Fe layer\",\n", " material = iron,\n", " thickness = 3000)\n", "\n", "site = nx.Hyperfine(magnetic_field = 33,\n", " isotropic = True)\n", "\n", "iron.hyperfine_sites = [site]\n", "\n", "sample = nx.Sample(layers = [layer_Fe])\n", "\n", "beam = nx.Beam(polarization = 0)\n", "\n", "exp = nx.Experiment(beam = beam,\n", " objects = [sample],\n", " isotope = nx.lib.moessbauer.Fe57)\n", "\n", "detuning = np.linspace(-200, 200, 1001)\n", "\n", "energy_spectrum = nx.EnergySpectrum(experiment = exp,\n", " detuning = detuning,\n", " electronic = True,\n", " scaling = \"auto\",\n", " background = 0,\n", " distribution_points = 1,\n", " fit_weight = 1,\n", " # resolution = 1, # only in version 1\n", " # kernel_type = \"Gauss\", # only in version 1\n", " instrument = nx.lib.instrument.Gaussian(1.0), # since version 2\n", " residual = None,\n", " id = \"my energy spectrum\")\n", "\n", "#%prun intensity = energy_spectrum.Calculate()\n", "intensity = energy_spectrum.Calculate()\n", "\n", "plt.plot(detuning, intensity)\n", "plt.xlabel('detuning (Gamma)')\n", "plt.ylabel('transmission')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 2, "id": "d925a671", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "energy_spectrum.Plot()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.9" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 5 }