{ "cells": [ { "cell_type": "markdown", "id": "9e91a2e0-8120-40bb-9c81-664c8a380756", "metadata": {}, "source": [ "# fit sample" ] }, { "cell_type": "code", "execution_count": 1, "id": "ddf4d29a-3aab-477a-9c87-df3f97b41216", "metadata": {}, "outputs": [], "source": [ "import nexus as nx\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "id": "60931923-b392-43dd-9ccd-502eaa35f4a7", "metadata": {}, "source": [ "## load data" ] }, { "cell_type": "code", "execution_count": 2, "id": "c1c6c31a-17de-4cce-a360-6a4ec9cc9aff", "metadata": {}, "outputs": [], "source": [ "data = np.loadtxt('sample_spectrum.dat')\n", "processed_data = data\n", "\n", "velocities = np.loadtxt(\"velocity_calibration.dat\")" ] }, { "cell_type": "code", "execution_count": 3, "id": "0a18a1f7-c7cd-4d6c-886d-f32d1f5799ed", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "number of data points: 1024\n" ] } ], "source": [ "plt.plot(data)\n", "plt.xlabel(\"data point\")\n", "plt.ylabel(\"counts\")\n", "plt.show()\n", "\n", "print('number of data points: {}'.format(len(data)))" ] }, { "cell_type": "markdown", "id": "74eb1fd9-34e9-4c8d-88cc-a353de38da56", "metadata": {}, "source": [ "## data folding" ] }, { "cell_type": "code", "execution_count": 4, "id": "0db07106-edf0-4cf9-a710-35bc35010d0b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "lag: -1.06\n" ] } ], "source": [ "# use same settings as for velocity calibration\n", "\n", "# in verison 1\n", "#processed_data, lag = nx.data.AutoFold(processed_data,\n", "# flip = 'right', # determies which part of the spectrum is fliped\n", "# factor = 100, # interpolation on a 100 times finer grid\n", "# method = \"cubic\") # or cubic, PChip, Akima\n", "\n", "# since version 2\n", "processed_data, lag, additional_data = nx.data.AutoFold(processed_data,\n", " flip = 'right', # determies which part of the spectrum is fliped\n", " factor = 100, # interpolation on a 100 times finer grid\n", " method = \"cubic\") # or cubic, PChip, Akima\n", "\n", "print('lag: {}'.format(lag))" ] }, { "cell_type": "markdown", "id": "830d9973-12f9-4337-908a-90ccd9af98ab", "metadata": {}, "source": [ "## normalization" ] }, { "cell_type": "code", "execution_count": 5, "id": "184a678f-55aa-477e-a77d-c240d4635533", "metadata": {}, "outputs": [], "source": [ "processed_data, norm_factor = nx.data.Normalize(data = processed_data,\n", " method = \"baseline\", # 'max', 'min', 'value'\n", " # value = 0, # only used when method is value\n", " # left_point=20,\n", " # right_point=250,\n", " # poly_order = 1 # use 1 in case you want to correct a tilted baseline\n", " )" ] }, { "cell_type": "code", "execution_count": 6, "id": "ff614ed3-da9d-4cb8-822b-5e14cfe7d2c7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(velocities, processed_data)\n", "plt.xlabel(\"velocitiy (mm/s)\")\n", "plt.ylabel(\"data point\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "7113dcc1-fcd4-4cbb-9e94-613570611ed6", "metadata": {}, "source": [ "## setup experiment" ] }, { "cell_type": "markdown", "id": "2ded4659-e821-4599-8f9b-0bb6de3b4a34", "metadata": {}, "source": [ "### hyperfine sites" ] }, { "cell_type": "code", "execution_count": 7, "id": "66fd7c74-c7ef-4e47-98d1-4f912a5acb2d", "metadata": {}, "outputs": [], "source": [ "# we assume to have two sites and an isotropic distribution (e.g. powder sample)\n", "\n", "site1 = nx.Hyperfine(id = \"site 1\",\n", " weight = nx.Var(1, min = 0, max = 1, fit = True, id = \"weight 1\"),\n", " isomer = nx.Var(0, min = -1, max = 0, fit = True, id = \"isomer 1\"),\n", " magnetic_field = nx.Var(15, min = 10, max = 25, fit = True, id = \"magnetic field 1\"),\n", " quadrupole = nx.Var(0, min = -2, max = 2, fit = True, id = \"quadrupole 1\"),\n", " # texture = 1, # only used if isotropic = False\n", " # broadening = 1 # model free broadening parameter\n", " isotropic = True)\n", "\n", "site2 = nx.Hyperfine(id = \"site 2\",\n", " weight = nx.Var(1, min = 0, max = 1, fit = True, id = \"weight 2\"),\n", " isomer = nx.Var(0, min = -1, max = 1, fit = True, id = \"isomer 2\"),\n", " magnetic_field = 0,\n", " quadrupole = nx.Var(0, min = -1, max = 1, fit = True, id = \"quadrupole 2\"),\n", " isotropic = True)" ] }, { "cell_type": "markdown", "id": "8030dcc8-4194-410f-9199-89410e9878c6", "metadata": {}, "source": [ "### sample and experiment" ] }, { "cell_type": "markdown", "id": "7de26ad9-f61e-4fee-9306-725c92437311", "metadata": {}, "source": [ "#### always fit the sample thickness for a Moessabuer experiment\n", "#### it serves as the scaling factor for the absorption" ] }, { "cell_type": "code", "execution_count": 8, "id": "edf3088f-ec1c-4c67-bc88-965b52d19d90", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# always fit the sample thickness, it serves as the scaling factor for the absorption\n", "\n", "sample = nx.SimpleSample(id = \"sample\",\n", " thickness = nx.Var(3000, min=2000, max=4000, fit=True, id=\"t\"),\n", " composition = [[\"Fe\", 1]],\n", " density = 7.874,\n", " isotope = nx.lib.moessbauer.Fe57,\n", " abundance = 0.02119,\n", " lamb_moessbauer = 0.796,\n", " hyperfine_sites = [site1, site2]\n", " )\n", "\n", "beam = nx.Beam(id = \"upolarized beam\",\n", " polarization = 0,\n", " # mixing_angle = 0, # ony for polarized beams\n", " # canting_angle = 0 # only for polarized beams\n", " # profile = \"g\" # only for grazing incidence\n", " # fwhm = 0 # only for grazing incidence\n", " )\n", "\n", "#beam.Unpolarized() # not needed as polarization has been set to zero\n", "\n", "exp = nx.Experiment(id = \"experiment\",\n", " beam = beam,\n", " objects = [sample],\n", " isotope = nx.lib.moessbauer.Fe57)\n", "\n", "spectrum = nx.MoessbauerSpectrum(id= \"Moessbauer spectrum\",\n", " experiment = exp,\n", " velocity = velocities,\n", " intensity_data = processed_data,\n", " # scaling = \"auto\" # use a Var in csae you want to specify this value\n", " # background = \"auto\" # use a Var in csae you want to specify this value\n", " # residual = nx.lib.residual.Sqrt() # in case you want to change to Gaussian statistics use nx.lib.residual.StdDev()\n", " # kernel_type = \"Lorentz\" # is standard for Moessbauer spectrum\n", " # resolution = 2.197) # value from calibration file or fit value as Var object # only in version 1\n", " instrument = nx.lib.instrument.Gaussian(2.197) # since version 2\n", " )\n", "\n", "intensity = spectrum.Calculate()\n", "\n", "spectrum.Plot(velocity = True\n", " # name=None # provide a filename string to save under this filename\n", " # data=True,\n", " # residuals=True,\n", " # datacolor='black'\n", " # ... many more style options, see API\n", " # legend=True,\n", " # errors=False,\n", " # errorcap=2\n", " )" ] }, { "cell_type": "markdown", "id": "2a4c67f9-c4e3-4891-90b2-81a392e32228", "metadata": {}, "source": [ "## setup fit" ] }, { "cell_type": "code", "execution_count": 9, "id": "38e9e9aa-86b9-4f41-81fd-ebe371789bb4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Run Fit instance with id: fit sample \n", "\n", "Starting fit with 1 measurement data set(s) and 10 fit parameter(s):\n", "\n", " no. | id | initial value | min | max\n", " 0 | ES scaling | 1.00599 | 1e-16 | 100.599\n", " 1 | ES backgr | 0.0992719 | 0 | 9.92719\n", " 2 | t | 3000 | 2000 | 4000\n", " 3 | weight 1 | 0.5 | 0 | 1\n", " 4 | isomer 1 | 0 | -1 | 0\n", " 5 | magnetic field 1 | 15 | 10 | 25\n", " 6 | quadrupole 1 | 0 | -2 | 2\n", " 7 | weight 2 | 0.5 | 0 | 1\n", " 8 | isomer 2 | 0 | -1 | 1\n", " 9 | quadrupole 2 | 0 | -1 | 1\n", "\n", "Using 0 equality constraint(s) on parameter(s):\n", "\n", "Using 0 inequality constraint(s).\n", "\n", "\n", "Calling Pagmo solver with fit method PagmoDiffEvol\n", "\n", " population: 110\n", " iterations: 100\n", "\n", " cost = 2.520352e-03\n", "\n", "Calling ceres solver with fit method LevMar\n", "\n", "Ceres Solver Report: Iterations: 7, Initial cost: 2.520352e-03, Final cost: 7.551236e-04, Termination: CONVERGENCE\n", "\n", "Gradient error analysis.\n", "\n", "\n", "Fit performed with algorithm:\n", "PagmoDiffEvol\n", "Local algorithm:\n", "LevMar\n", "Error analysis:\n", "Gradient\n", "\n", "Using 10 fit parameter(s):\n", "\n", " no. | id | fit value | +/- std dev | initial value | min | max\n", " 0 | ES scaling | 0.753773 | 0.00734606 | 1.00599 | 1e-16 | 100.599\n", " 1 | ES backgr | 0.380518 | 0.00596679 | 0.0992719 | 0 | 9.92719\n", " 2 | t | 3993.38 | 1.84941e-06 | 3000 | 2000 | 4000\n", " 3 | weight 1 | 0.487548 | 0.00510111 | 0.5 | 0 | 1\n", " 4 | isomer 1 | -0.497012 | 0.00304509 | 0 | -1 | 0\n", " 5 | magnetic field 1 | 20.0165 | 0.0216377 | 15 | 10 | 25\n", " 6 | quadrupole 1 | 1.39912 | 0.00898236 | 0 | -2 | 2\n", " 7 | weight 2 | 0.512452 | 0.00485321 | 0.5 | 0 | 1\n", " 8 | isomer 2 | 0.725023 | 0.00206514 | 0 | -1 | 1\n", " 9 | quadrupole 2 | 0.792529 | 0.00396664 | 0 | -1 | 1\n", "\n", " Values at boundaries:\n", "\n", "Correlation matrix:\n", "\n", " no. | 0 1 2 3 4 5 6 7 8 9 \n", " -----|------------------------------------------------------------------------------------------\n", " 0 | 1.000 -1.000 1.000 0.303 0.005 0.014 -0.005 -0.303 -0.026 0.068 \n", " 1 | -1.000 1.000 -1.000 -0.302 -0.005 -0.014 0.005 0.302 0.026 -0.068 \n", " 2 | 1.000 -1.000 1.000 0.315 0.004 0.012 -0.003 -0.315 -0.027 0.068 \n", " 3 | 0.303 -0.302 0.315 1.000 -0.066 -0.040 0.072 -1.000 -0.046 0.075 \n", " 4 | 0.005 -0.005 0.004 -0.066 1.000 0.314 -0.374 0.066 0.205 -0.084 \n", " 5 | 0.014 -0.014 0.012 -0.040 0.314 1.000 -0.243 0.040 0.155 -0.062 \n", " 6 | -0.005 0.005 -0.003 0.072 -0.374 -0.243 1.000 -0.072 -0.234 0.096 \n", " 7 | -0.303 0.302 -0.315 -1.000 0.066 0.040 -0.072 1.000 0.046 -0.075 \n", " 8 | -0.026 0.026 -0.027 -0.046 0.205 0.155 -0.234 0.046 1.000 -0.029 \n", " 9 | 0.068 -0.068 0.068 0.075 -0.084 -0.062 0.096 -0.075 -0.029 1.000 \n", "\n", "Using 0 equality constraint(s) on parameter(s):\n", "\n", "and 0 inequality constraint(s).\n", "\n", "Total cost = 2.950e-06\n", "\n", "cost for each FitMeasurement is:\n", "\n", " no. | id | cost | %\n", " 0 | Moessbauer spectrum | 2.950e-06 | 100.000\n", "\n", "Fit instance with id \"fit sample\" finished.\n", "\n" ] } ], "source": [ "# create a fit object with a list of measurements to be fit in parallel.\n", "fit = nx.Fit(id = \"fit sample\",\n", " measurements = [spectrum],\n", " # external_fit_variables = [] # for advanced fitting\n", " # inequalities = None # for advanced fitting\n", " )\n", "\n", "fit.options.method = \"PagmoDiffEvol\" # or \"\"LevMar\", \"Annealing\", \"NaturalEvol\", ...\n", "# many fit.options area vailable, see API\n", "\n", "# run the fit\n", "fit.Evaluate()\n", "\n", "# the fit creates an output file \"fit_id_fit sample.txt\" with the results" ] }, { "cell_type": "code", "execution_count": 10, "id": "49091061-ffeb-4597-95ed-f04190c2560a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "spectrum.Plot(velocity=True)\n", "\n", "# in case the fit does not look good:\n", "# restart when a global mehtod has been used (as here), maybe change parameter boundaries\n", "# when a local method has been used, change start parameter (maybe also parameter boundaries)" ] }, { "cell_type": "markdown", "id": "d958cab9-f174-4f60-90c9-7200cf728292", "metadata": {}, "source": [ "### plot individual contributions" ] }, { "cell_type": "code", "execution_count": 11, "id": "f3a7ab48-32b5-426c-b58e-a1a02dd1db0b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1, 2, 512)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(velocities, processed_data, '.', color='black')\n", "\n", "#get intensities from individual components\n", "intensity_sites = nx.tools.GetSiteSpectra(spectrum, sample)\n", "\n", "# intensity_sites is a 3D array with first dimension being the layer, the second the site of the layer, and the 3rd the intensity\n", "print(np.array(intensity_sites).shape) # 1 layer, 2 sites, 512 data points\n", "\n", "# go through intensity and layers of the sample in parallel to get intensity and id of the site\n", "for intens_lay, lay in zip(intensity_sites, sample.layers):\n", " for intens_site, site in zip(intens_lay, lay.material.hyperfine_sites):\n", " plt.plot(velocities, intens_site, label = site.id)\n", " plt.fill_between(velocities, intens_site, intens_site[0], alpha = 0.3)\n", "\n", "plt.plot(velocities, spectrum.result, color='red', label = \"total fit\")\n", "plt.xlabel(\"norm. intensity\")\n", "plt.ylabel(\"velocitiy (mm/s)\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "b641c06a-8a9d-4aee-a2b9-564fae470979", "metadata": {}, "source": [ "### area ratios of intensities" ] }, { "cell_type": "code", "execution_count": 12, "id": "e01f09af-2273-4a75-9012-8e4c6dfcb178", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1, 2)\n", "\n", "Relative areas of the sites\n", "[[0.49816666 0.50183334]]\n" ] } ], "source": [ "area_sites = nx.tools.AreaSites(spectrum,\n", " sample = sample,\n", " norm = True)\n", "\n", "print(np.array(area_sites).shape) # 1 layer, 2 sites\n", "\n", "print(\"\")\n", "print(\"Relative areas of the sites\")\n", "print(area_sites)" ] }, { "cell_type": "code", "execution_count": null, "id": "6808a430-fbf6-4250-b518-0dbe425540b3", "metadata": {}, "outputs": [], "source": [] } ], "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 }