{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Plotting Ternary Phase Diagrams and Using Triangular Axes\n", "\n", "Often in thermodynamics, it is useful to use a two dimensional plot to express equilibria in a three component system with fixed potentials. The `ternplot` API provides a straightforward way to calculate equilibria and generate ternary phase diagrams. Alternatively, if you already have an equilibrium calculation, you can directly import and use `eqplot`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ternplot\n", "\n", "Here we will use the ternplot API to plot an isothermal section of the Al-Cu-Y system from the thermodynamic database found at the [NIST CALPHAD assessments](http://hdl.handle.net/11115/101) assessed by Zhang et al. [Calphad 35 (2011)](https://doi.org/10.1016/j.calphad.2011.09.008)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2022-02-19T19:18:35.550927Z", "iopub.status.busy": "2022-02-19T19:18:35.550927Z", "iopub.status.idle": "2022-02-19T19:24:35.882475Z", "shell.execute_reply": "2022-02-19T19:24:35.882475Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Wall time: 5min 56s\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "from pycalphad import Database, ternplot\n", "from pycalphad import variables as v\n", "\n", "db_al_cu_y = Database('Al-Cu-Y.tdb')\n", "comps = ['AL', 'CU', 'Y', 'VA']\n", "phases = list(db_al_cu_y.phases.keys())\n", "conds = {v.T: 830, v.P:101325, v.X('AL'): (0,1,0.015), v.X('Y'): (0,1,0.015)}\n", "\n", "%time ternplot(db_al_cu_y, comps, phases, conds, x=v.X('AL'), y=v.X('Y'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## triangular projection\n", "\n", "Importing the `pycalphad.plot.triangular` module automatically registers a `'triangular'` projection in matplotlib for you to use in custom plots, such as liquidus projections or contour plots of custom property models.\n", "\n", "Here we will use pycalphad to calculate the mixing enthalpy of the FCC phase in our Al-Cu-Y system. Then we will the triangular projection to plot the calculated points as a colored scatterplot on the triangular axes." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2022-02-19T19:24:35.941781Z", "iopub.status.busy": "2022-02-19T19:24:35.941781Z", "iopub.status.idle": "2022-02-19T19:24:36.721283Z", "shell.execute_reply": "2022-02-19T19:24:36.721283Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "from pycalphad.plot import triangular\n", "from pycalphad import calculate\n", "\n", "# some sample data, these could be from an equilibrium calculation or a property model.\n", "# here we are calculating the mixing enthlapy of the FCC_A1 phase at 830K. \n", "c = calculate(db_al_cu_y, comps, 'FCC_A1', output='HM_MIX', T=830, P=101325, pdens=5000)\n", "\n", "# Here we are getting the values from our plot. \n", "xs = c.X.values[0, 0, 0, :, 0] # 1D array of Al compositions\n", "ys = c.X.values[0, 0, 0, :, 1] # 1D array of Cu compositions\n", "zs = c.HM_MIX.values[0, 0, 0, :] # 1D array of mixing enthalpies at these compositions\n", "\n", "# when we imported the pycalphad.plot.triangular module, it made the 'triangular' projection available for us to use.\n", "fig = plt.figure()\n", "ax = fig.add_subplot(projection='triangular')\n", "ax.scatter(xs, ys, c=zs, \n", " cmap='coolwarm', \n", " linewidth=0.0)\n", "\n", "# label the figure\n", "ax.set_xlabel('X (AL)')\n", "ax.set_ylabel('X (CU)')\n", "ax.yaxis.label.set_rotation(60) # rotate ylabel\n", "ax.yaxis.set_label_coords(x=0.12, y=0.5) # move the label to a pleasing position\n", "ax.set_title('AL-CU-Y HM_MIX at 830K')\n", "\n", "# set up the colorbar\n", "cm = plt.cm.ScalarMappable(cmap='coolwarm')\n", "cm.set_array(zs)\n", "fig.colorbar(cm);" ] }, { "cell_type": "code", "execution_count": null, "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": "3.8.0" }, "pycharm": { "stem_cell": { "cell_type": "raw", "metadata": { "collapsed": false }, "source": [] } } }, "nbformat": 4, "nbformat_minor": 4 }