{ "cells": [ { "cell_type": "markdown", "id": "e540f549-7dc8-4105-a862-aa7df05d2c2e", "metadata": {}, "source": [ "# Hyperfine distribution" ] }, { "cell_type": "code", "execution_count": 1, "id": "91d979ca", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "<>:57: SyntaxWarning: invalid escape sequence '\\G'\n", "<>:57: SyntaxWarning: invalid escape sequence '\\G'\n", "C:\\Users\\lbocklag\\AppData\\Local\\Temp\\ipykernel_21632\\2364976630.py:57: SyntaxWarning: invalid escape sequence '\\G'\n", " plt.ylabel('Intensity ($\\Gamma$/ns)')\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# import packages\n", "import nexus as nx\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "\n", "mat_Fe = nx.Material.Template(nx.lib.material.Fe)\n", "\n", "layer_Fe = nx.Layer(id = \"Fe\",\n", " material = mat_Fe,\n", " thickness = 3000, # in nanometer\n", " roughness = 100, # in nanometer\n", " )\n", "\n", "site = nx.Hyperfine(magnetic_field = 33,\n", " magnetic_theta = 0\n", " )\n", "\n", "mat_Fe.hyperfine_sites = [site]\n", "\n", "sample = nx.Sample(layers = [layer_Fe])\n", "\n", "beam = nx.Beam()\n", "beam.LinearSigma()\n", "\n", "exp = nx.Experiment(beam = beam,\n", " objects = [sample],\n", " isotope = nx.moessbauer.Fe57\n", " )\n", "\n", "time_spectrum = nx.TimeSpectrum(experiment = exp,\n", " time_length = 200,\n", " time_step = 0.2\n", " )\n", "\n", "time_axis, intensity = time_spectrum.Calculate()\n", "\n", "plt.semilogy(time_axis, intensity, label = 'no dist')\n", "\n", "# define a distribution from the library\n", "# we have to define the number of points and the full width half maxmim for a Gaussian distribution\n", "gauss_dist = nx.lib.distribution.Gaussian(points = 31,\n", " fwhm = 1 # this can also be a fittable Var\n", " )\n", "\n", "\n", "\n", "# apply the distribution to the hyperfine parameter\n", "site.SetMagneticFieldDistribution(gauss_dist)\n", "\n", "time_axis, intensity = time_spectrum.Calculate()\n", "\n", "# plot the results\n", "plt.semilogy(time_axis, intensity, label = 'with dist')\n", "\n", "plt.xlabel('time (ns)')\n", "plt.ylabel('Intensity ($\\Gamma$/ns)')\n", "\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 2, "id": "d2068bc4", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "<>:8: SyntaxWarning: invalid escape sequence '\\G'\n", "<>:8: SyntaxWarning: invalid escape sequence '\\G'\n", "C:\\Users\\lbocklag\\AppData\\Local\\Temp\\ipykernel_21632\\1008142218.py:8: SyntaxWarning: invalid escape sequence '\\G'\n", " plt.ylabel('Intensity ($\\Gamma$/ns)')\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# create a random distribution in the magnetic field angles\n", "\n", "site.SetRandomDistribution(\"mag\", \"2Dsp\", 101)\n", "\n", "plt.semilogy(*time_spectrum.Calculate(), label = 'with dist and 2D')\n", "\n", "plt.xlabel('time (ns)')\n", "plt.ylabel('Intensity ($\\Gamma$/ns)')\n", "\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 3, "id": "8974595b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "FWHM = 1.5\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# define an asymmetric Gaussian distribution from the lib.distribution.\n", "asym_gauss_dist = nx.lib.distribution.AsymmetricGaussian(points = 101,\n", " hwhm_low = nx.Var(value = 0.5, min = 0, max = 2, fit = True),\n", " hwhm_high = nx.Var(value = 1, min = 0, max = 2, fit = True)\n", " )\n", "\n", "# Call of the distribution function.\n", "# The .delta and .weight attributes of asym_gauss_dist are set by the call.\n", "asym_gauss_dist.DistributionFunction()\n", "\n", "# get the full width half maximum from the set sigma value\n", "print(\"FWHM = {}\".format(asym_gauss_dist.GetFWHM()))\n", "\n", "plt.plot(asym_gauss_dist.delta, asym_gauss_dist.weight)\n", "plt.xlabel('delta value')\n", "plt.ylabel('weight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "id": "b6be23d9", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# define a hyperfine site\n", "site = nx.Hyperfine(magnetic_field = 10)\n", "\n", "# define target parameter\n", "site.SetMagneticFieldDistribution(asym_gauss_dist)\n", "\n", "# calc the actual distribution values\n", "real_distribution_values = np.array(asym_gauss_dist.delta) + site.magnetic_field.value\n", "\n", "plt.plot(real_distribution_values, asym_gauss_dist.weight)\n", "plt.xlabel('delta value')\n", "plt.ylabel('weight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 5, "id": "c3720b69", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "magnetic_distribution_values, weight = site.GetMagneticFieldDistribution()\n", "\n", "plt.plot(magnetic_distribution_values, weight)\n", "plt.xlabel('delta value')\n", "plt.ylabel('weight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "id": "5a8c948e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "site = nx.Hyperfine(quadrupole = 0.2)\n", "\n", "# define a asymmetric Gaussian distribution object from nexus.lib.distribution.\n", "dist = nx.lib.distribution.PosGaussian(points = 101,\n", " fwhm = nx.Var(0.5, min = 0, max = 2, fit = True),\n", " target_var = site.quadrupole\n", " )\n", "\n", "site.SetQuadrupoleDistribution(dist)\n", "\n", "values, weight = site.GetQuadrupoleDistribution()\n", "\n", "plt.plot(values, weight)\n", "plt.xlabel('delta value')\n", "plt.ylabel('weight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "id": "5904dd02", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "<>:35: SyntaxWarning: invalid escape sequence '\\G'\n", "<>:47: SyntaxWarning: invalid escape sequence '\\G'\n", "<>:35: SyntaxWarning: invalid escape sequence '\\G'\n", "<>:47: SyntaxWarning: invalid escape sequence '\\G'\n", "C:\\Users\\lbocklag\\AppData\\Local\\Temp\\ipykernel_21632\\285753287.py:35: SyntaxWarning: invalid escape sequence '\\G'\n", " axs[0,0].set_ylabel('Intensity ($\\Gamma$/ns)')\n", "C:\\Users\\lbocklag\\AppData\\Local\\Temp\\ipykernel_21632\\285753287.py:47: SyntaxWarning: invalid escape sequence '\\G'\n", " axs[1,0].set_ylabel('Intensity ($\\Gamma$/ns)')\n", "C:\\Users\\lbocklag\\AppData\\Local\\Temp\\ipykernel_21632\\285753287.py:55: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", " fig.show()\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mat_Fe = nx.Material.Template(nx.lib.material.Fe)\n", "\n", "layer_Fe = nx.Layer(id = \"Fe\",\n", " material = mat_Fe,\n", " thickness = 3000, # in nanometer\n", " roughness = 100, # in nanometer\n", " )\n", "\n", "site = nx.Hyperfine(quadrupole = 1.0)\n", "\n", "mat_Fe.hyperfine_sites = [site]\n", "\n", "sample = nx.Sample(layers = [layer_Fe])\n", "\n", "beam = nx.Beam()\n", "beam.LinearSigma()\n", "\n", "exp = nx.Experiment(beam = beam,\n", " objects = [sample],\n", " isotope = nx.moessbauer.Fe57\n", " )\n", "\n", "time_spectrum = nx.TimeSpectrum(experiment = exp,\n", " time_length = 200,\n", " time_step = 0.2,\n", " max_detuning = 0)\n", "\n", "fig, axs = plt.subplots(2,2, sharex=True, sharey=True)\n", "fig.suptitle('Random distributions efg')\n", "\n", "site.SetRandomDistribution(\"efg\", \"3D\", 401)\n", "\n", "axs[0,0].semilogy(*time_spectrum.Calculate(), label = '3D')\n", "axs[0,0].legend()\n", "axs[0,0].set_ylabel('Intensity ($\\Gamma$/ns)')\n", "\n", "site.SetRandomDistribution(\"efg\", \"2Dsp\", 401)\n", "\n", "axs[0,1].semilogy(*time_spectrum.Calculate(), label = '2Dsp')\n", "axs[0,1].legend()\n", "\n", "site.SetRandomDistribution(\"efg\", \"2Dsk\", 401)\n", "\n", "axs[1,0].semilogy(*time_spectrum.Calculate(), label = '2Dsk')\n", "axs[1,0].legend()\n", "axs[1,0].set_xlabel('time (ns)')\n", "axs[1,0].set_ylabel('Intensity ($\\Gamma$/ns)')\n", "\n", "site.SetRandomDistribution(\"efg\", \"2Dpk\", 401)\n", "\n", "axs[1,1].semilogy(*time_spectrum.Calculate(), label = '2Dpk')\n", "axs[1,1].legend()\n", "axs[1,1].set_xlabel('time (ns)')\n", "\n", "fig.show()" ] }, { "cell_type": "code", "execution_count": 8, "id": "644bae1b", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "<>:34: SyntaxWarning: invalid escape sequence '\\G'\n", "<>:46: SyntaxWarning: invalid escape sequence '\\G'\n", "<>:34: SyntaxWarning: invalid escape sequence '\\G'\n", "<>:46: SyntaxWarning: invalid escape sequence '\\G'\n", "C:\\Users\\lbocklag\\AppData\\Local\\Temp\\ipykernel_21632\\3227972485.py:34: SyntaxWarning: invalid escape sequence '\\G'\n", " axs[0,0].set_ylabel('Intensity ($\\Gamma$/ns)')\n", "C:\\Users\\lbocklag\\AppData\\Local\\Temp\\ipykernel_21632\\3227972485.py:46: SyntaxWarning: invalid escape sequence '\\G'\n", " axs[1,0].set_ylabel('Intensity ($\\Gamma$/ns)')\n", "C:\\Users\\lbocklag\\AppData\\Local\\Temp\\ipykernel_21632\\3227972485.py:55: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", " fig.show()\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "\n", "mat_Fe = nx.Material.Template(nx.lib.material.Fe)\n", "\n", "layer_Fe = nx.Layer(id = \"Fe\",\n", " material = mat_Fe,\n", " thickness = 3000, # in nanometer\n", " roughness = 100, # in nanometer\n", " )\n", "\n", "site = nx.Hyperfine(magnetic_field = 33)\n", "\n", "mat_Fe.hyperfine_sites = [site]\n", "\n", "sample = nx.Sample(layers = [layer_Fe])\n", "\n", "beam = nx.Beam()\n", "beam.LinearSigma()\n", "\n", "exp = nx.Experiment(beam = beam,\n", " objects = [sample],\n", " isotope = nx.moessbauer.Fe57)\n", "\n", "time_spectrum = nx.TimeSpectrum(experiment = exp,\n", " time_length = 200,\n", " time_step = 0.2,\n", " max_detuning = 0)\n", "\n", "fig, axs = plt.subplots(2,2)\n", "fig.suptitle('Random distributions mag')\n", "\n", "site.SetRandomDistribution(\"mag\", \"3D\", 401)\n", "\n", "axs[0,0].semilogy(*time_spectrum.Calculate(), label = '3D')\n", "axs[0,0].legend()\n", "axs[0,0].set_ylabel('Intensity ($\\Gamma$/ns)')\n", "\n", "site.SetRandomDistribution(\"mag\", \"2Dsp\", 401)\n", "\n", "axs[0,1].semilogy(*time_spectrum.Calculate(), label = '2Dsp')\n", "axs[0,1].legend()\n", "\n", "site.SetRandomDistribution(\"mag\", \"2Dsk\", 401)\n", "\n", "axs[1,0].semilogy(*time_spectrum.Calculate(), label = '2Dsk')\n", "axs[1,0].legend()\n", "axs[1,0].set_xlabel('time (ns)')\n", "axs[1,0].set_ylabel('Intensity ($\\Gamma$/ns)')\n", "\n", "site.SetRandomDistribution(\"mag\", \"2Dpk\", 401)\n", "\n", "axs[1,1].semilogy(*time_spectrum.Calculate(), label = '2Dpk')\n", "axs[1,1].legend()\n", "axs[1,1].set_xlabel('time (ns)')\n", "\n", "\n", "fig.show()" ] }, { "cell_type": "code", "execution_count": 9, "id": "98b5dfb1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Hyperfine .id: \n", " .weight = 1.0\n", " .isomer_shift = 0.0 \t dist points: 1\n", " .magnetic_field = 30.0 \t dist points: 6\n", " .magnetic_theta = 90.0 \t dist points: 1\n", " .magnetic_phi = 30.0 \t dist points: 1\n", " .quadrupole = 0.0 \t dist points: 1\n", " .quadrupole_alpha = 0.0 \t dist points: 1\n", " .quadrupole_beta = 0.0 \t dist points: 1\n", " .quadrupole_gamma = 0.0 \t dist points: 1\n", " .quadrupole_asymmetry = 0.0 \t dist points: 1\n", " .isotropic = False \t 3D distribution in mag and efg. Random mag or efg distributions are ignored.\n", " random magnetic distribution: none\t dist points: 1\n", " random quadrupole distribution: none\t dist points: 1\n", " total number of distribution points: 6\n", "\n", "BareHyperfine Parameters: \n", " .weight = 0.030303030303030307\n", " .isomer_shift (mm/s) = 0.0\n", " .magnetic_field (T) = 25.0\n", " .magnetic_theta (rad) = 1.5707963267948966\n", " .magnetic_phi (rad) = 0.5235987755982988\n", " .quadrupole (mm/s) = 0.0\n", " .quadrupole_alpha (rad) = 0.0\n", " .quadrupole_beta (rad) = 0.0\n", " .quadrupole_gamma (rad) = 0.0\n", " .quadrupole_asymmetry = 0.0\n", " .isotropic = False\n", "\n", "BareHyperfine Parameters: \n", " .weight = 0.08484848484848487\n", " .isomer_shift (mm/s) = 0.0\n", " .magnetic_field (T) = 27.0\n", " .magnetic_theta (rad) = 1.5707963267948966\n", " .magnetic_phi (rad) = 0.5235987755982988\n", " .quadrupole (mm/s) = 0.0\n", " .quadrupole_alpha (rad) = 0.0\n", " .quadrupole_beta (rad) = 0.0\n", " .quadrupole_gamma (rad) = 0.0\n", " .quadrupole_asymmetry = 0.0\n", " .isotropic = False\n", "\n", "BareHyperfine Parameters: \n", " .weight = 0.1393939393939394\n", " .isomer_shift (mm/s) = 0.0\n", " .magnetic_field (T) = 29.0\n", " .magnetic_theta (rad) = 1.5707963267948966\n", " .magnetic_phi (rad) = 0.5235987755982988\n", " .quadrupole (mm/s) = 0.0\n", " .quadrupole_alpha (rad) = 0.0\n", " .quadrupole_beta (rad) = 0.0\n", " .quadrupole_gamma (rad) = 0.0\n", " .quadrupole_asymmetry = 0.0\n", " .isotropic = False\n", "\n", "BareHyperfine Parameters: \n", " .weight = 0.19393939393939397\n", " .isomer_shift (mm/s) = 0.0\n", " .magnetic_field (T) = 31.0\n", " .magnetic_theta (rad) = 1.5707963267948966\n", " .magnetic_phi (rad) = 0.5235987755982988\n", " .quadrupole (mm/s) = 0.0\n", " .quadrupole_alpha (rad) = 0.0\n", " .quadrupole_beta (rad) = 0.0\n", " .quadrupole_gamma (rad) = 0.0\n", " .quadrupole_asymmetry = 0.0\n", " .isotropic = False\n", "\n", "BareHyperfine Parameters: \n", " .weight = 0.24848484848484848\n", " .isomer_shift (mm/s) = 0.0\n", " .magnetic_field (T) = 33.0\n", " .magnetic_theta (rad) = 1.5707963267948966\n", " .magnetic_phi (rad) = 0.5235987755982988\n", " .quadrupole (mm/s) = 0.0\n", " .quadrupole_alpha (rad) = 0.0\n", " .quadrupole_beta (rad) = 0.0\n", " .quadrupole_gamma (rad) = 0.0\n", " .quadrupole_asymmetry = 0.0\n", " .isotropic = False\n", "\n", "BareHyperfine Parameters: \n", " .weight = 0.30303030303030304\n", " .isomer_shift (mm/s) = 0.0\n", " .magnetic_field (T) = 35.0\n", " .magnetic_theta (rad) = 1.5707963267948966\n", " .magnetic_phi (rad) = 0.5235987755982988\n", " .quadrupole (mm/s) = 0.0\n", " .quadrupole_alpha (rad) = 0.0\n", " .quadrupole_beta (rad) = 0.0\n", " .quadrupole_gamma (rad) = 0.0\n", " .quadrupole_asymmetry = 0.0\n", " .isotropic = False\n", "\n" ] } ], "source": [ "delta = np.linspace(-5, 5, 6) # absolute differences to the target value\n", "weight = np.linspace(0.1, 1, 6) # some weight values\n", "\n", "array_dist = nx.lib.distribution.Array(delta, weight)\n", "\n", "site = nx.Hyperfine(magnetic_field = 30, # distribution will range from 25 to 35\n", " magnetic_theta = 90,\n", " magnetic_phi = 30\n", " )\n", "\n", "site.SetMagneticFieldDistribution(array_dist)\n", "\n", "# Print all combinations applied to the site\n", "print(site)\n", "\n", "# print each parameter combination due to distributions stored in site.BareHyperfines\n", "for elem in site.BareHyperfines:\n", " print(elem)" ] }, { "cell_type": "code", "execution_count": 10, "id": "23f9067b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Hyperfine .id: \n", " .weight = 1.0\n", " .isomer_shift = 0.0 \t dist points: 1\n", " .magnetic_field = 0.0 \t dist points: 6\n", " .magnetic_theta = 90.0 \t dist points: 1\n", " .magnetic_phi = 30.0 \t dist points: 1\n", " .quadrupole = 0.0 \t dist points: 1\n", " .quadrupole_alpha = 0.0 \t dist points: 1\n", " .quadrupole_beta = 0.0 \t dist points: 1\n", " .quadrupole_gamma = 0.0 \t dist points: 1\n", " .quadrupole_asymmetry = 0.0 \t dist points: 1\n", " .isotropic = False \t 3D distribution in mag and efg. Random mag or efg distributions are ignored.\n", " random magnetic distribution: none\t dist points: 1\n", " random quadrupole distribution: none\t dist points: 1\n", " total number of distribution points: 6\n", "\n", "BareHyperfine Parameters: \n", " .weight = 0.0004925623091321052\n", " .isomer_shift (mm/s) = 0.0\n", " .magnetic_field (T) = 1.0\n", " .magnetic_theta (rad) = 1.5707963267948966\n", " .magnetic_phi (rad) = 0.5235987755982988\n", " .quadrupole (mm/s) = 0.0\n", " .quadrupole_alpha (rad) = 0.0\n", " .quadrupole_beta (rad) = 0.0\n", " .quadrupole_gamma (rad) = 0.0\n", " .quadrupole_asymmetry = 0.0\n", " .isotropic = False\n", "\n", "BareHyperfine Parameters: \n", " .weight = 0.022776081174268544\n", " .isomer_shift (mm/s) = 0.0\n", " .magnetic_field (T) = 6.8\n", " .magnetic_theta (rad) = 1.5707963267948966\n", " .magnetic_phi (rad) = 0.5235987755982988\n", " .quadrupole (mm/s) = 0.0\n", " .quadrupole_alpha (rad) = 0.0\n", " .quadrupole_beta (rad) = 0.0\n", " .quadrupole_gamma (rad) = 0.0\n", " .quadrupole_asymmetry = 0.0\n", " .isotropic = False\n", "\n", "BareHyperfine Parameters: \n", " .weight = 0.07819919219781303\n", " .isomer_shift (mm/s) = 0.0\n", " .magnetic_field (T) = 12.6\n", " .magnetic_theta (rad) = 1.5707963267948966\n", " .magnetic_phi (rad) = 0.5235987755982988\n", " .quadrupole (mm/s) = 0.0\n", " .quadrupole_alpha (rad) = 0.0\n", " .quadrupole_beta (rad) = 0.0\n", " .quadrupole_gamma (rad) = 0.0\n", " .quadrupole_asymmetry = 0.0\n", " .isotropic = False\n", "\n", "BareHyperfine Parameters: \n", " .weight = 0.16676189537976552\n", " .isomer_shift (mm/s) = 0.0\n", " .magnetic_field (T) = 18.4\n", " .magnetic_theta (rad) = 1.5707963267948966\n", " .magnetic_phi (rad) = 0.5235987755982988\n", " .quadrupole (mm/s) = 0.0\n", " .quadrupole_alpha (rad) = 0.0\n", " .quadrupole_beta (rad) = 0.0\n", " .quadrupole_gamma (rad) = 0.0\n", " .quadrupole_asymmetry = 0.0\n", " .isotropic = False\n", "\n", "BareHyperfine Parameters: \n", " .weight = 0.28846419072012613\n", " .isomer_shift (mm/s) = 0.0\n", " .magnetic_field (T) = 24.2\n", " .magnetic_theta (rad) = 1.5707963267948966\n", " .magnetic_phi (rad) = 0.5235987755982988\n", " .quadrupole (mm/s) = 0.0\n", " .quadrupole_alpha (rad) = 0.0\n", " .quadrupole_beta (rad) = 0.0\n", " .quadrupole_gamma (rad) = 0.0\n", " .quadrupole_asymmetry = 0.0\n", " .isotropic = False\n", "\n", "BareHyperfine Parameters: \n", " .weight = 0.44330607821889473\n", " .isomer_shift (mm/s) = 0.0\n", " .magnetic_field (T) = 30.0\n", " .magnetic_theta (rad) = 1.5707963267948966\n", " .magnetic_phi (rad) = 0.5235987755982988\n", " .quadrupole (mm/s) = 0.0\n", " .quadrupole_alpha (rad) = 0.0\n", " .quadrupole_beta (rad) = 0.0\n", " .quadrupole_gamma (rad) = 0.0\n", " .quadrupole_asymmetry = 0.0\n", " .isotropic = False\n", "\n" ] } ], "source": [ "values = np.linspace(1, 30, 6) # absolute values\n", "weight = np.square(values) # some dependence on values\n", "\n", "array_dist = nx.lib.distribution.Array(values, weight)\n", "\n", "array_dist.DistributionFunction()\n", "\n", "site = nx.Hyperfine(magnetic_field = 0, # zero because absolute values are assumed\n", " magnetic_theta = 90,\n", " magnetic_phi = 30)\n", "\n", "site.SetMagneticFieldDistribution(array_dist)\n", "\n", "print(site)\n", "\n", "for elem in site.BareHyperfines:\n", " print(elem)" ] }, { "cell_type": "code", "execution_count": 11, "id": "bda66070", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "BareHyperfine Parameters: \n", " .weight = 0.15\n", " .isomer_shift (mm/s) = 0.0\n", " .magnetic_field (T) = 31.2\n", " .magnetic_theta (rad) = 1.5707963267948966\n", " .magnetic_phi (rad) = 0.5235987755982988\n", " .quadrupole (mm/s) = 0.0\n", " .quadrupole_alpha (rad) = 0.0\n", " .quadrupole_beta (rad) = 0.0\n", " .quadrupole_gamma (rad) = 0.0\n", " .quadrupole_asymmetry = 0.0\n", " .isotropic = False\n", "\n", "BareHyperfine Parameters: \n", " .weight = 0.25\n", " .isomer_shift (mm/s) = 0.0\n", " .magnetic_field (T) = 32.2\n", " .magnetic_theta (rad) = 1.5707963267948966\n", " .magnetic_phi (rad) = 0.5235987755982988\n", " .quadrupole (mm/s) = 0.0\n", " .quadrupole_alpha (rad) = 0.0\n", " .quadrupole_beta (rad) = 0.0\n", " .quadrupole_gamma (rad) = 0.0\n", " .quadrupole_asymmetry = 0.0\n", " .isotropic = False\n", "\n", "BareHyperfine Parameters: \n", " .weight = 0.4\n", " .isomer_shift (mm/s) = 0.0\n", " .magnetic_field (T) = 33.2\n", " .magnetic_theta (rad) = 1.5707963267948966\n", " .magnetic_phi (rad) = 0.5235987755982988\n", " .quadrupole (mm/s) = 0.0\n", " .quadrupole_alpha (rad) = 0.0\n", " .quadrupole_beta (rad) = 0.0\n", " .quadrupole_gamma (rad) = 0.0\n", " .quadrupole_asymmetry = 0.0\n", " .isotropic = False\n", "\n", "BareHyperfine Parameters: \n", " .weight = 0.15\n", " .isomer_shift (mm/s) = 0.0\n", " .magnetic_field (T) = 34.2\n", " .magnetic_theta (rad) = 1.5707963267948966\n", " .magnetic_phi (rad) = 0.5235987755982988\n", " .quadrupole (mm/s) = 0.0\n", " .quadrupole_alpha (rad) = 0.0\n", " .quadrupole_beta (rad) = 0.0\n", " .quadrupole_gamma (rad) = 0.0\n", " .quadrupole_asymmetry = 0.0\n", " .isotropic = False\n", "\n", "BareHyperfine Parameters: \n", " .weight = 0.05\n", " .isomer_shift (mm/s) = 0.0\n", " .magnetic_field (T) = 35.2\n", " .magnetic_theta (rad) = 1.5707963267948966\n", " .magnetic_phi (rad) = 0.5235987755982988\n", " .quadrupole (mm/s) = 0.0\n", " .quadrupole_alpha (rad) = 0.0\n", " .quadrupole_beta (rad) = 0.0\n", " .quadrupole_gamma (rad) = 0.0\n", " .quadrupole_asymmetry = 0.0\n", " .isotropic = False\n", "\n" ] } ], "source": [ "# load a Distribution from a file\n", "file_dist = nx.lib.distribution.File(\"distribution.txt\")\n", "\n", "site = nx.Hyperfine(magnetic_field = 0, # zero because absolute field values are given\n", " magnetic_theta = 90,\n", " magnetic_phi = 30\n", " )\n", "\n", "site.SetMagneticFieldDistribution(file_dist)\n", "\n", "for elem in site.BareHyperfines:\n", " print(elem)" ] } ], "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": "3.12.0" } }, "nbformat": 4, "nbformat_minor": 5 }