diff --git a/Simple_Monte_Carlo_from_Ignacio_V2.ipynb b/Simple_Monte_Carlo_from_Ignacio_V2.ipynb new file mode 100644 index 0000000..828f762 --- /dev/null +++ b/Simple_Monte_Carlo_from_Ignacio_V2.ipynb @@ -0,0 +1,1518 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "Simple Monte Carlo from Ignacio V2", + "provenance": [], + "collapsed_sections": [ + "NUugfOubfNXl", + "hXnP91hrFch6", + "cEG4x4ig-Py_", + "AXxIqrjP0JZn", + "N-N2XP4GcTMl", + "svnnHCjHD-3B", + "8EGguCwDCw1t", + "iwX1cDFSzhZ9" + ], + "include_colab_link": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "h6oGGWxB2GQT" + }, + "source": [ + "## Install NCrystal" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Upgrade cmake" + ], + "metadata": { + "id": "NUugfOubfNXl" + } + }, + { + "cell_type": "code", + "source": [ + "!cmake --version" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "PccNE_OrexLn", + "outputId": "55f4fe78-6e65-4740-c432-aa56aa816166" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "cmake version 3.12.0\n", + "\n", + "CMake suite maintained and supported by Kitware (kitware.com/cmake).\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "!wget https://github.com/Kitware/CMake/releases/download/v3.23.1/cmake-3.23.1-linux-x86_64.sh\n", + "!sh ./cmake-3.23.1-linux-x86_64.sh --prefix=/usr/local/ --exclude-subdir\n", + "!cmake --version" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "DyjKKAoGfCGS", + "outputId": "553515b1-d96a-4346-f267-49e5a801019d" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "--2022-04-29 08:42:25-- https://github.com/Kitware/CMake/releases/download/v3.23.1/cmake-3.23.1-linux-x86_64.sh\n", + "Resolving github.com (github.com)... 140.82.112.3\n", + "Connecting to github.com (github.com)|140.82.112.3|:443... connected.\n", + "HTTP request sent, awaiting response... 302 Found\n", + "Location: https://objects.githubusercontent.com/github-production-release-asset-2e65be/537699/b57ef8e0-dc5d-4025-b6b0-7cdf73bbdecb?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAIWNJYAX4CSVEH53A%2F20220429%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20220429T084226Z&X-Amz-Expires=300&X-Amz-Signature=b7341eb9f950adb7967d222657f6eafbeadd352ce628dcb0a6b3ed93b187a590&X-Amz-SignedHeaders=host&actor_id=0&key_id=0&repo_id=537699&response-content-disposition=attachment%3B%20filename%3Dcmake-3.23.1-linux-x86_64.sh&response-content-type=application%2Foctet-stream [following]\n", + "--2022-04-29 08:42:26-- https://objects.githubusercontent.com/github-production-release-asset-2e65be/537699/b57ef8e0-dc5d-4025-b6b0-7cdf73bbdecb?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAIWNJYAX4CSVEH53A%2F20220429%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20220429T084226Z&X-Amz-Expires=300&X-Amz-Signature=b7341eb9f950adb7967d222657f6eafbeadd352ce628dcb0a6b3ed93b187a590&X-Amz-SignedHeaders=host&actor_id=0&key_id=0&repo_id=537699&response-content-disposition=attachment%3B%20filename%3Dcmake-3.23.1-linux-x86_64.sh&response-content-type=application%2Foctet-stream\n", + "Resolving objects.githubusercontent.com (objects.githubusercontent.com)... 185.199.108.133, 185.199.109.133, 185.199.111.133, ...\n", + "Connecting to objects.githubusercontent.com (objects.githubusercontent.com)|185.199.108.133|:443... connected.\n", + "HTTP request sent, awaiting response... 200 OK\n", + "Length: 46004365 (44M) [application/octet-stream]\n", + "Saving to: ‘cmake-3.23.1-linux-x86_64.sh’\n", + "\n", + "cmake-3.23.1-linux- 100%[===================>] 43.87M 154MB/s in 0.3s \n", + "\n", + "2022-04-29 08:42:26 (154 MB/s) - ‘cmake-3.23.1-linux-x86_64.sh’ saved [46004365/46004365]\n", + "\n", + "CMake Installer Version: 3.23.1, Copyright (c) Kitware\n", + "This is a self-extracting archive.\n", + "The archive will be extracted to: /usr/local/\n", + "\n", + "Using target directory: /usr/local/\n", + "Extracting, please wait...\n", + "\n", + "Unpacking finished successfully\n", + "cmake version 3.23.1\n", + "\n", + "CMake suite maintained and supported by Kitware (kitware.com/cmake).\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "YflTHdlCzwIf" + }, + "source": [ + "### Download and install NCrystal+MagScat plugin:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "v9bSqepoeyF3", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "5e309ce4-f723-41b6-fef8-14e153a819c3" + }, + "source": [ + "from time import time\n", + "print(\"Installing NCrystal...\")\n", + "t1 = time()\n", + "\n", + "!set -e\n", + "%cd /content/\n", + "!mkdir ncrystal-build ncrystal-install\n", + "!git clone -b v3.0.0 https://github.com/mctools/ncrystal \n", + "%cd ncrystal-build\n", + "!cmake -DCMAKE_INSTALL_PREFIX=../ncrystal-install/ ../ncrystal/ -DBUILTIN_PLUGIN_LIST=XuShuqi7:MagScat\n", + "!make -j4 install\n", + "%cd ..\n", + "\n", + "t2 = time()\n", + "print(\"Installed in %.2f minutes\" % ((t2-t1)/60.0))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Installing NCrystal...\n", + "/content\n", + "Cloning into 'ncrystal'...\n", + "remote: Enumerating objects: 3573, done.\u001b[K\n", + "remote: Counting objects: 100% (51/51), done.\u001b[K\n", + "remote: Compressing objects: 100% (39/39), done.\u001b[K\n", + "remote: Total 3573 (delta 13), reused 19 (delta 10), pack-reused 3522\u001b[K\n", + "Receiving objects: 100% (3573/3573), 2.99 MiB | 20.00 MiB/s, done.\n", + "Resolving deltas: 100% (2544/2544), done.\n", + "Note: checking out '54860a9dd91ef7eda37e0c97ac63c599ca875ddb'.\n", + "\n", + "You are in 'detached HEAD' state. You can look around, make experimental\n", + "changes and commit them, and you can discard any commits you make in this\n", + "state without impacting any branches by performing another checkout.\n", + "\n", + "If you want to create a new branch to retain commits you create, you may\n", + "do so (now or later) by using -b with the checkout command again. Example:\n", + "\n", + " git checkout -b \n", + "\n", + "/content/ncrystal-build\n", + "-- The CXX compiler identification is GNU 7.5.0\n", + "-- The C compiler identification is GNU 7.5.0\n", + "-- Detecting CXX compiler ABI info\n", + "-- Detecting CXX compiler ABI info - done\n", + "-- Check for working CXX compiler: /usr/bin/c++ - skipped\n", + "-- Detecting CXX compile features\n", + "-- Detecting CXX compile features - done\n", + "-- Detecting C compiler ABI info\n", + "-- Detecting C compiler ABI info - done\n", + "-- Check for working C compiler: /usr/bin/cc - skipped\n", + "-- Detecting C compile features\n", + "-- Detecting C compile features - done\n", + "\u001b[0m-- Trying to add plugin: XuShuqi7:MagScat\u001b[0m\n", + "\u001b[0m---- Trying to install plugin via remote git repo: https://github.com/XuShuqi7/ncplugin-MagScat.git (gitref main)\u001b[0m\n", + "\u001b[0m---- Fetched sources to /content/ncrystal-build/_deps/pld3b955785f36c934162297e1533cf110_1-src\u001b[0m\n", + "\u001b[0m---- Configured plugin MagScat\u001b[0m\n", + "\u001b[0m-- Generated autogen_ncplugins.cc for enabling embedded plugins (will be compiled into the NCrystal library).\u001b[0m\n", + "\u001b[0m####################################################\u001b[0m\n", + "\u001b[0m## NCrystal configuration summary: ##\u001b[0m\n", + "\u001b[0m## CMAKE_BUILD_TYPE : Release ##\u001b[0m\n", + "\u001b[0m## NCrystal library and headers : ON ##\u001b[0m\n", + "\u001b[0m## NCrystal python module and scripts : ON ##\u001b[0m\n", + "\u001b[0m## G4NCrystal library and headers : OFF ##\u001b[0m\n", + "\u001b[0m## Build and install examples : ON ##\u001b[0m\n", + "\u001b[0m## Install shipped data files : ON ##\u001b[0m\n", + "\u001b[0m## Embed shipped data files in library : OFF ##\u001b[0m\n", + "\u001b[0m## Add setup.sh and unsetup.sh files : ON ##\u001b[0m\n", + "\u001b[0m## Binaries have RPATH modifications : ON ##\u001b[0m\n", + "\u001b[0m## Support dynamic plugin loading : ON ##\u001b[0m\n", + "\u001b[0m## Number of builtin plugins: : 1 ##\u001b[0m\n", + "\u001b[0m####################################################\u001b[0m\n", + "-- Configuring done\n", + "-- Generating done\n", + "-- Build files have been written to: /content/ncrystal-build\n", + "[ 0%] \u001b[32mBuilding CXX object CMakeFiles/NCrystal.dir/ncrystal_core/src/NCAbsOOV.cc.o\u001b[0m\n", + "[ 1%] \u001b[32mBuilding CXX object CMakeFiles/NCrystal.dir/ncrystal_core/src/NCAtomData.cc.o\u001b[0m\n", + "[ 2%] \u001b[32mBuilding CXX object CMakeFiles/NCrystal.dir/ncrystal_core/src/NCAtomDBExtender.cc.o\u001b[0m\n", + "[ 3%] \u001b[32mBuilding CXX object CMakeFiles/NCrystal.dir/ncrystal_core/src/NCAtomDB.cc.o\u001b[0m\n", + "[ 4%] \u001b[32mBuilding CXX object CMakeFiles/NCrystal.dir/ncrystal_core/src/NCAtomUtils.cc.o\u001b[0m\n", + "[ 5%] \u001b[32mBuilding CXX object CMakeFiles/NCrystal.dir/ncrystal_core/src/NCBkgdExtCurve.cc.o\u001b[0m\n", + "[ 6%] \u001b[32mBuilding CXX object 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"CAPDQhW2NTWn" + }, + "source": [ + "## Import modules" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "L7rnAAcTz0eh" + }, + "source": [ + "Configure environment variables:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "hUT7ScDEgMCd" + }, + "source": [ + "import sys\n", + "import os\n", + "sys.path.append('/content/ncrystal-install/share/NCrystal/python/')\n", + "os.environ['NCRYSTALDIR'] = \"/content/ncrystal-install/\"\n", + "os.environ['NCRYSTAL_DATADIR'] = \"/content/ncrystal-install/share/NCrystal/data\"\n", + "os.environ['NCRYSTALDIR'] = \"/content/ncrystal-install/\"\n", + "os.environ[\"PATH\"] += os.pathsep + \"/content/ncrystal-install/bin\"\n", + "os.environ[\"LD_LIBRARY_PATH\"] += os.pathsep + \"/content/ncrystal-install/lib\" + os.pathsep + \"/content/ncrystal-install/lib64\"" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "xLcTeYjiMoNe" + }, + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from plotly.subplots import make_subplots\n", + "import plotly.graph_objects as go\n", + "import NCrystal as NC\n", + "import random as rnd\n", + "import time" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## Physical constants" + ], + "metadata": { + "id": "hXnP91hrFch6" + } + }, + { + "cell_type": "code", + "source": [ + "kInv2Pi = 0.159154943091895335768883763372514362034459646 # = 1/(2pi)\n", + "\n", + "constant_c = 299792458e10 # speed of light in Aa/s\n", + "constant_dalton2kg = 1.660539040e-27 # amu to kg (source: NIST/CODATA 2018)\n", + "constant_dalton2eVc2 = 931494095.17 # amu to eV/c^2 (source: NIST/CODATA 2018)\n", + "constant_avogadro = 6.022140857e23 # mol^-1 (source: NIST/CODATA 2018)\n", + "constant_boltzmann = 8.6173303e-5 # eV/K\n", + "const_hhm = 4.144249671718981e-3 # hbar^2/neutron_mass, eV*Aa^2\n", + "const_neutron_mass = 1.674927471e-24 # gram\n", + "const_neutron_atomic_mass = 1.00866491588 # atomic unit\n", + "const_ekin_2200m_s = 0.02529886 # eV, neutron kinetic energy at 2200m/s.\n", + "constant_planck = 4.135667662e-15 # [eV*s]\n", + "constant_hbar = constant_planck * kInv2Pi # [eV*s]" + ], + "metadata": { + "id": "0ehuGr7cFh-8" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "cEG4x4ig-Py_" + }, + "source": [ + "## Check the installation is working" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 300 + }, + "id": "aVgomW1alQFF", + "outputId": "8915279a-5524-4648-9bd2-181979f3e0d1" + }, + "source": [ + "fn_KOH = 'KOH_sg4_PotassiumHydroxide.ncmat'\n", + "pc_KOH = NC.createScatter(fn_KOH)\n", + "E = np.logspace(np.log10(1e-4),np.log10(10),1000)\n", + "xs_KOH = pc_KOH.crossSectionNonOriented(E)\n", + "plt.loglog(E, xs_KOH, label='KOH')\n", + "plt.legend()\n", + "plt.xlabel('Energy [eV]')\n", + "plt.ylabel('Total cross section [b]')" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "Text(0, 0.5, 'Total cross section [b]')" + ] + }, + "metadata": {}, + "execution_count": 7 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## Solid oxygen\n", + "\n", + "At ambient pressure and low temperatures, a variety of phases of solid oxygen has been characterized. The gamma phase ($\\gamma\\textrm{-O}_2$) is paramagnetic. Therefore, we chose $\\gamma\\textrm{-O}_2$ to investigate the neutron magnetic effects. The space group of the $\\gamma$ phase of solid oxygen is Pm$\\bar{3}$n. The crystalline structure is illustrated in the following figure. The 25\\% atom occupancy is represented by the red color. The lattice parameters are given in the literature [[gamma-oxygen]](http://rruff.geo.arizona.edu/AMS/CIF_text_files/19578_cif.txt). Since the VDOS curve of the $\\gamma\\textrm{-O}_2$ is not reported in the literature, a simplified Debye model is used instead. The Debye temperature $\\Theta_D$ = 104 K is retrieved from the Ref. [[Freiman et al.]](https://www.sciencedirect.com/science/article/abs/pii/S037015730400273X)." + ], + "metadata": { + "id": "AXxIqrjP0JZn" + } + }, + { + "cell_type": "markdown", + "source": [ + 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)" + ], + "metadata": { + "id": "nBVzRxfC4WMd" + } + }, + { + "cell_type": "markdown", + "source": [ + "## Phonon density of states calculated by Debye model\n", + "\n", + "We have\n", + "\n", + "\\begin{equation}\n", + " \\rho_D(\\epsilon)\\propto\\epsilon^2,\n", + "\\end{equation}\n", + "\n", + "and\n", + "\n", + "\\begin{equation}\n", + " \\int_{0}^{k_B\\Theta_D}\\rho_D(\\epsilon)\\textrm{d}\\epsilon=1,\n", + "\\end{equation}\n", + "\n", + "then\n", + "\n", + "\\begin{equation}\n", + " \\rho_D(\\epsilon)=\\dfrac{3}{(k_B\\Theta_D)^3}\\epsilon^2,\\quad 0\\leq\\epsilon\\leq k_B\\Theta_D.\n", + "\\end{equation}" + ], + "metadata": { + "id": "N-N2XP4GcTMl" + } + }, + { + "cell_type": "code", + "source": [ + "ThetaD = 104 # K\n", + "e_max = constant_boltzmann * ThetaD # eV\n", + "N_e = 50\n", + "e = np.linspace(0, e_max, num=N_e)\n", + "rhoD = 3 * e ** 2 / e_max ** 3\n", + "plt.plot(e, rhoD, label='VDOS')\n", + "plt.legend()\n", + "plt.xlabel('Energy transfer [eV]')\n", + "plt.ylabel('Phonon density of states (1/eV')\n", + "print(e[1], e[-1])\n", + "print(rhoD)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 292 + }, + "id": "jQk4RDSqlf-c", + "outputId": "0297797a-3318-4633-fe97-2c69fc18d4d6" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "0.00018289843902040816 0.008962023512\n", + "[0.00000000e+00 1.39419338e-01 5.57677351e-01 1.25477404e+00\n", + " 2.23070941e+00 3.48548345e+00 5.01909616e+00 6.83154755e+00\n", + " 8.92283762e+00 1.12929664e+01 1.39419338e+01 1.68697399e+01\n", + " 2.00763846e+01 2.35618681e+01 2.73261902e+01 3.13693510e+01\n", + " 3.56913505e+01 4.02921886e+01 4.51718655e+01 5.03303810e+01\n", + " 5.57677351e+01 6.14839280e+01 6.74789595e+01 7.37528297e+01\n", + " 8.03055386e+01 8.71370861e+01 9.42474724e+01 1.01636697e+02\n", + " 1.09304761e+02 1.17251663e+02 1.25477404e+02 1.33981984e+02\n", + " 1.42765402e+02 1.51827659e+02 1.61168755e+02 1.70788689e+02\n", + " 1.80687462e+02 1.90865073e+02 2.01321524e+02 2.12056813e+02\n", + " 2.23070941e+02 2.34363907e+02 2.45935712e+02 2.57786356e+02\n", + " 2.69915838e+02 2.82324159e+02 2.95011319e+02 3.07977317e+02\n", + " 3.21222154e+02 3.34745830e+02]\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## Neutron magnetic scattering\n", + "\n", + "\\begin{equation}\n", + "\t\\left(\\dfrac{\\textrm{d}\\sigma}{\\textrm{d}E}\\right)^{\\pm}=n_{\\textrm{pc}}\\sigma_{\\textrm{m}}\\dfrac{k^\\prime}{k}\\exp(-2W)g_{\\pm}(T)f_{\\pm}(E)\\delta(E\\pm D-E^\\prime).\n", + "\\end{equation}\n", + "\n", + "Hence,\n", + "\n", + "\\begin{align}\n", + " \\sigma^{\\pm}(E)&=\\int_{0}^{+\\infty}n_{\\textrm{pc}}\\sigma_{\\textrm{m}}\\dfrac{k^\\prime}{k}\\exp(-2W)g_{\\pm}(T)f_{\\pm}(E)\\delta(E\\pm D-E^\\prime)\\textrm{d}E^\\prime, \\\\\n", + " &=n_{\\textrm{pc}}\\sigma_{\\textrm{m}}\\sqrt{\\dfrac{E\\pm D}{E}}\\exp(-2W)g_{\\pm}(T)f_{\\pm}(E).\n", + "\\end{align}\n", + "\n", + "Note that the neutron down-scattering is possible if $E>D$.\n", + "\n", + "$\\exp(-2W)$ represents the Debye-Waller factor which can be neglected because the mass of the oxygen atom is sufficiently larger than that of neutron and the considered temperature is low. Therefore, dimensionless $g_{\\pm}(T)$ and $f_{\\pm}(E)$ functions are key components for the calculation of neutron magnetic scattering cross section." + ], + "metadata": { + "id": "HXUqTVivBgre" + } + }, + { + "cell_type": "markdown", + "source": [ + "### $g_{\\pm}(T)$ functions\n", + "\n", + "\\begin{equation}\n", + "\tg_{\\pm}(T)=\\dfrac{4}{3}\\times\\dfrac{\\exp(-\\frac{D}{2k_BT}(1\\pm 1))}{1+2\\exp(-\\frac{D}{k_BT})}.\n", + "\\end{equation}" + ], + "metadata": { + "id": "svnnHCjHD-3B" + } + }, + { + "cell_type": "code", + "source": [ + "def gfunc(temperature = None, D_const = None, down_scat = True):\n", + " \n", + " '''g functions, which accounts for the spin\n", + " temperature : temperature of material K\n", + " D_const : zero-field splitting constant, eV\n", + " down_scat : down-scattering option, boolean\n", + " '''\n", + " exp = np.exp(-D_const / (constant_boltzmann * temperature))\n", + " g = 4. / 3. / (1 + 2 * exp)\n", + " if not down_scat: g *= exp\n", + " \n", + " return g" + ], + "metadata": { + "id": "MFdzZgXwE8FQ" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "T = np.logspace(-1, 2, num=40)\n", + "D = 4.e-4 # eV\n", + "gp = np.zeros_like(T)\n", + "gm = np.zeros_like(T)\n", + "for i in range(np.size(T)):\n", + " gm[i] = gfunc(temperature = T[i], D_const = D)\n", + " gp[i] = gfunc(temperature = T[i], D_const = D, down_scat=False)\n", + "plt.semilogx(T, gm, label='g-')\n", + "plt.semilogx(T, gp, label='g+')\n", + "plt.legend()\n", + "plt.xlabel('Temperature [K]')\n", + "plt.ylabel('g')" + ], + "metadata": { + "id": "PPWd4XK7GvuY", + "outputId": "b00e257c-6d92-4c77-a42b-a55f2d4c7e7e", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 71 + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "Text(0, 0.5, 'g')" + ] + }, + "metadata": {}, + "execution_count": 13 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### $f_{\\pm}(E)$ functions\n", + "\n", + "\\begin{equation}\n", + "\tf_{\\pm}(E)=\\exp(-A(2E\\pm D))\\dfrac{\\sinh(2A\\sqrt{E(E\\pm D)}}{2A\\sqrt{E(E\\pm D)}},\n", + "\\end{equation}\n", + "\n", + "where $A=2\\ln(2)m_{\\textrm{n}}/(\\textrm{hwhm}^2\\hbar^2)$.\n", + "\n", + "The function $f_{+}(E)$ can be obtained by shifting $f_{-}(E)$ by $D$ because $f_{+}(E)=f_{-}(E+D)$." + ], + "metadata": { + "id": "8EGguCwDCw1t" + } + }, + { + "cell_type": "code", + "source": [ + "def ffunc(incident_neutron_E = None, hwhm = None, D_const = None, \n", + " down_scat = True):\n", + " \n", + " '''f functions, integral of magnetic form factor\n", + " incident_neutron_E : incident neutron energy, eV\n", + " hwhm : half width at half maximum, float, Aa^-1\n", + " D_const : zero-field splitting constant, eV\n", + " down_scat : down-scattering option, boolean\n", + " '''\n", + " \n", + " A = 2 * np.log(2) / (const_hhm * hwhm ** 2) # eV^-1\n", + " if down_scat:\n", + " if incident_neutron_E > D_const:\n", + " B = 2 * A * np.sqrt(incident_neutron_E * (incident_neutron_E - D_const))\n", + " f = np.exp(-A * (2 * incident_neutron_E - D_const))\n", + " f *= np.sinh(B) / B\n", + " else:\n", + " f = 0\n", + " else:\n", + " B = 2 * A * np.sqrt(incident_neutron_E * (incident_neutron_E + D_const))\n", + " f = np.exp(-A * (2 * incident_neutron_E + D_const))\n", + " f *= np.sinh(B) / B\n", + " \n", + " return f" + ], + "metadata": { + "id": "gwxynBWSIz5T" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "E = np.linspace(4.1e-4, 1.6e-2, num = 40) # eV\n", + "hwhm = 1.5 # Aa^-1\n", + "D = 4.e-4 # eV\n", + "fm = np.zeros_like(E)\n", + "for i in range(np.size(E)):\n", + " fm[i] = ffunc(incident_neutron_E=E[i], hwhm=hwhm, D_const=D)\n", + "plt.plot(E*1.e+3, fm, label='f-')\n", + "plt.legend()\n", + "plt.xlabel('Neutron energy [meV]')\n", + "plt.ylabel('f-')" + ], + "metadata": { + "id": "ofWKEatGJNfn", + "outputId": "9bf40b36-81ac-4659-ab19-5681fed38f3c", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 71 + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "Text(0, 0.5, 'f-')" + ] + }, + "metadata": {}, + "execution_count": 15 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## Neutron cross sections" + ], + "metadata": { + "id": "iwX1cDFSzhZ9" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Scattering & absorption " + ], + "metadata": { + "id": "mJO3iTbqg0tI" + } + }, + { + "cell_type": "code", + "source": [ + "O2_scat = NC.createScatter('ncplugin-MagScat_O2_sg223_SolidOxygen-gamma.ncmat;dcutoff=0.5')\n", + "O2_abs = NC.createAbsorption('ncplugin-MagScat_O2_sg223_SolidOxygen-gamma.ncmat;dcutoff=0.5')\n", + "E = np.logspace(-7, 1,1000)\n", + "xs_scat = O2_scat.crossSectionNonOriented(E)\n", + "xs_abs = O2_abs.crossSectionNonOriented(E)" + ], + "metadata": { + "id": "miWgkbkMg623" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### Magnetic scattering " + ], + "metadata": { + "id": "-4yOsXrShFLD" + } + }, + { + "cell_type": "code", + "source": [ + "O2_down = NC.createScatter('ncplugin-MagScat_O2_sg223_SolidOxygen-gamma_down.ncmat;dcutoff=0.5;inelas=0;elas=0')\n", + "O2_up = NC.createScatter('ncplugin-MagScat_O2_sg223_SolidOxygen-gamma_up.ncmat;dcutoff=0.5;inelas=0;elas=0')\n", + "E2 = np.logspace(-7,-1,1000)\n", + "xs_down = O2_down.crossSectionIsotropic(E2)\n", + "xs_up = O2_up.crossSectionIsotropic(E2)" + ], + "metadata": { + "id": "u4sK4GX2hJHj" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### Visualization " + ], + "metadata": { + "id": "j65aRAoRhWpk" + } + }, + { + "cell_type": "code", + "source": [ + "fig = make_subplots(rows = 1, cols = 1)\n", + "fig.add_trace(\n", + " go.Scatter(\n", + " x = E,\n", + " y = xs_scat,\n", + " mode = 'lines',\n", + " name = 'Scattering',\n", + " ),\n", + " row = 1, col = 1\n", + ")\n", + "fig.add_trace(\n", + " go.Scatter(\n", + " x = E,\n", + " y = xs_abs,\n", + " mode = 'lines',\n", + " name = 'Absorption',\n", + " ),\n", + " row = 1, col = 1\n", + ")\n", + "fig.add_trace(\n", + " go.Scatter(\n", + " x = E2,\n", + " y = xs_down,\n", + " mode = 'lines',\n", + " name = 'Magnetic down-scat',\n", + " ),\n", + " row = 1, col = 1\n", + ")\n", + "fig.add_trace(\n", + " go.Scatter(\n", + " x = E2,\n", + " y = xs_up,\n", + " mode = 'lines',\n", + " name = 'Magnetic up-scat',\n", + " ),\n", + " row = 1, col = 1\n", + ")\n", + "fig.update_xaxes(type = 'log', title = 'Incident neutron energy (eV)', \n", + " exponentformat = 'power')\n", + "fig.update_yaxes(type = 'log', title = 'Cross section (barn)',\n", + " exponentformat = 'power')\n", + "fig.add_annotation(xref='paper',yref='paper',x=.9, y=.7, \n", + " text=r'$\\Large T=1\\textrm{ K}$', showarrow=False)\n", + "fig.add_annotation(xref='paper',yref='paper',x=.9, y=.55, \n", + " text=r'$\\Large \\textrm{Solid oxygen}$', showarrow=False)\n", + "fig.update_layout(margin = dict(l = 80, r = 20, t = 20, b = 60))\n", + "fig.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 542 + }, + "id": "_GGW2UW7hZAy", + "outputId": "99adae64-87ca-4587-d3d7-cab9c3e8cd14" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "
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start_time))" + ], + "metadata": { + "id": "bPDexMGeRE0P", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "07f9b029-b721-4233-80f0-b029b0b2ad6f" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Total computation time : 291.2 s.\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### With magnetic scattering " + ], + "metadata": { + "id": "M6F78lx-RPEi" + } + }, + { + "cell_type": "code", + "metadata": { + "id": "PAo-h0Rbxa7w", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "7af97e2b-d9c5-46e3-c95c-e553251a849f" + }, + "source": [ + "start_time = time.time()\n", + "NPart = 5000\n", + "energies_mag = []\n", + "weights_mag = []\n", + "particles = [sample_particle() for i in range(NPart)]\n", + "\n", + "for i, p in enumerate(particles):\n", + " absorbed = False\n", + " while not absorbed:\n", + " #\n", + " # Calculate XS for the current energies\n", + " #\n", + " Sigma_a = AbsorptionXS(p['energy'], p['fraction'])\n", + " Sigma_s = ScatteringXS(p['energy'], p['fraction'])\n", + " Sigma_r_d = MagneticDownXS(p['energy'], p['fraction'])\n", + " Sigma_r_u = MagneticUpXS(p['energy'], p['fraction'])\n", + " Sigma_t = Sigma_s + Sigma_a + Sigma_r_d + Sigma_r_u\n", + "\n", + " #\n", + " # Increment tallies using collision estimator\n", + " #\n", + " energies_mag.append(p['energy'])\n", + " weights_mag.append(1/Sigma_t)\n", + "\n", + " #\n", + " # Handle reactions\n", + " #\n", + " r = rnd.random()\n", + " if r < Sigma_a/Sigma_t:\n", + " absorbed = True\n", + " elif r < (Sigma_s+Sigma_a)/Sigma_t:\n", + " p['energy'] = sample_scattering(p)\n", + " elif r < (Sigma_r_u+Sigma_s+Sigma_a)/Sigma_t:\n", + " p['energy'] = sample_magnetic_up(p)\n", + " else:\n", + " p['energy'] = sample_magnetic_down(p)\n", + "print('Total computation time : {:.4g} s.'.format(time.time() - start_time))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Total computation time : 24.07 s.\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Visualization " + ], + "metadata": { + "id": "e-xVXN8sQNxJ" + } + }, + { + "cell_type": "code", + "source": [ + "#\n", + "# Compute spectrum using collision estimator\n", + "#\n", + "vals, bins = np.histogram(np.log10(energies), weights=weights, bins=200)\n", + "vals_mag, bins_mag = np.histogram(np.log10(energies_mag), weights=weights_mag, bins=200)\n", + "\n", + "fig = make_subplots(rows = 1, cols = 1)\n", + "fig.add_trace(\n", + " go.Scatter(\n", + " x = 10**bins[1:],\n", + " y = vals,\n", + " #mode = 'lines',\n", + " line_shape='hvh',\n", + " fill='tozeroy',\n", + " name = 'Without magnetic effects',\n", + " ),\n", + " row = 1, col = 1\n", + ")\n", + "fig.add_trace(\n", + " go.Scatter(\n", + " x = 10**bins_mag[1:],\n", + " y = vals_mag,\n", + " #mode = 'lines',\n", + " line_shape='hvh',\n", + " fill='tozeroy',\n", + " name = 'With magnetic effects',\n", + " ),\n", + " row = 1, col = 1\n", + ")\n", + "fig.update_xaxes(type = 'log', title = 'Neutron energy (eV)', \n", + " exponentformat = 'power')\n", + "fig.update_yaxes(title = 'Probability density function (1/eV)',\n", + " exponentformat = 'power')\n", + "fig.add_annotation(xref='paper',yref='paper',x=.9, y=.85, \n", + " text=r'$\\Large T=1\\textrm{ K}$', showarrow=False)\n", + "fig.add_annotation(xref='paper',yref='paper',x=.9, y=.7, \n", + " text=r'$\\Large \\textrm{Solid oxygen}$', showarrow=False)\n", + "fig.update_layout(margin = dict(l = 80, r = 20, t = 20, b = 60))\n", + "#fig.show('svg')\n", + "fig.show()" + ], + "metadata": { + "id": "z73L8DfNkcNy", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 542 + }, + "outputId": "62e5c095-5858-4a2e-a411-77a13a4a61b2" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "
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