{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Calculations with Reference States\n", "\n", "## Experimental Reference States: Formation and Mixing Energy\n", "\n", "By default, energies calculated with pycalphad (e.g. `GM`, `HM`, etc.) are the absolute energies as defined in the database and are not calculated with respect to any reference state.\n", "\n", "pycalphad allows the reference for any property to be set to arbitrary phases and temperature/pressure conditions through the `ReferenceState` meta-property, which creates new properties for the specified property that are referenced to the specified reference state.\n", "\n", "### Enthalpy of mixing\n", "\n", "The enthalpy of mixing in the liquid, analogous to what would be measured experimentally, is calculated and plotted below with the reference states of the pure elements both set to the liquid phase. No temperature and pressure are specified as we would like the reference state to be calculated with respect to the calculation temperature." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2022-02-19T19:18:27.132381Z", "iopub.status.busy": "2022-02-19T19:18:27.132381Z", "iopub.status.idle": "2022-02-19T19:18:28.216231Z", "shell.execute_reply": "2022-02-19T19:18:28.215232Z" } }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2022-02-19T19:18:28.232251Z", "iopub.status.busy": "2022-02-19T19:18:28.230250Z", "iopub.status.idle": "2022-02-19T19:18:30.551328Z", "shell.execute_reply": "2022-02-19T19:18:30.551328Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pycalphad import Workspace, variables as v\n", "from pycalphad.property_framework import ReferenceState\n", "\n", "wks = Workspace(\"nbre_liu.tdb\", [\"NB\", \"RE\", \"VA\"], [\"LIQUID_RENB\"],\n", " {v.P: 101325, v.T: 2800, v.X(\"RE\"): (0, 1, 0.005)})\n", "\n", "ref = ReferenceState([(\"LIQUID_RENB\", {v.X(\"RE\"): 0}),\n", " (\"LIQUID_RENB\", {v.X(\"RE\"): 1})\n", " ], wks)\n", "\n", "ref_enthalpy = ref('HM')\n", "ref_enthalpy.display_name = 'Enthalpy of Mixing'\n", "\n", "wks.plot(v.X('RE'), ref_enthalpy)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Enthalpy of formation - convex hull\n", "\n", "Formation enthalpies are often reported in the literature with respect to the pure elements in their stable phase at 298.15 K. The enthalpy of formation of the phases in equilibrium, analogous to what would be measured experimentally, is calculated and plotted below for T=2800 K, with the reference states of the pure elements both set to the stable phases and fixed at 298.15 K and 1 atm." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2022-02-19T19:18:30.561221Z", "iopub.status.busy": "2022-02-19T19:18:30.561221Z", "iopub.status.idle": "2022-02-19T19:18:32.001422Z", "shell.execute_reply": "2022-02-19T19:18:32.001422Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pycalphad import Database, Workspace, as_property, variables as v\n", "from pycalphad.property_framework import ReferenceState\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "dbf_nbre = Database(\"nbre_liu.tdb\")\n", "\n", "wks2 = Workspace(dbf_nbre, [\"NB\", \"RE\", \"VA\"], sorted(dbf_nbre.phases.keys()),\n", " {v.P: 101325, v.T: 2800, v.X(\"RE\"): (0, 1, 0.005)})\n", "\n", "ref2 = ReferenceState([(\"BCC_RENB\", {v.X(\"RE\"): 0, v.T: 298.15}), # NB\n", " (\"HCP_RENB\", {v.X(\"RE\"): 1, v.T: 298.15}) # RE\n", " ], wks2)\n", "\n", "x_re, enthalpy_of_formation = wks2.get(v.X('RE'), ref2('HM'))\n", "\n", "# Find the groups of stable phases in equilibrium e.g. [CHI_RENB] and [CHI_RENB, HCP_RENB]\n", "unique_phase_sets = np.unique(wks2.eq.Phase.squeeze(), axis=0)\n", "\n", "# Plot\n", "fig = plt.figure(figsize=(9,6))\n", "ax = fig.gca()\n", "for phase_set in unique_phase_sets:\n", " label = '+'.join([ph for ph in phase_set if ph != ''])\n", " # composition indices with the same stable set of phases\n", " unique_phase_idx = np.nonzero(np.all(wks2.eq.Phase.squeeze() == phase_set, axis=1))[0]\n", " ax.plot(x_re[unique_phase_idx], enthalpy_of_formation[unique_phase_idx], marker='.', label=label)\n", "ax.set_xlim((0, 1))\n", "ax.set_xlabel(f'X(RE) [{v.X(\"RE\").implementation_units}]')\n", "ax.set_ylabel(f'Enthalpy of Formation [{as_property(\"HM\").implementation_units}]')\n", "ax.set_title('Nb-Re Formation Enthalpy (T=2800 K)')\n", "ax.legend()\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.10.6 64-bit", "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": "3.10.6" }, "vscode": { "interpreter": { "hash": "dffc026621927c134bf51c98cc1a2a1db0bb9758f5626f77d77eb66ad657b830" } } }, "nbformat": 4, "nbformat_minor": 4 }