{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Plotting Isobaric Binary Phase Diagrams with `binplot`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These are a few examples of how to use Thermo-Calc TDB files to calculate isobaric binary phase diagrams. As long as the TDB file is present, each cell in these examples is self contained and can completely reproduce the figure shown.\n", "\n", "### binplot\n", "\n", "The phase diagrams are computed with `binplot`, which has four required arguments:\n", "1. The Database object\n", "2. A list of active components (vacancies (`VA`), which are present in many databases, must be included explictly).\n", "3. A list of phases to consider in the calculation\n", "4. A dictionary conditions to consider, with keys of pycalphad StateVariables and values of scalars, 1D arrays, or `(start, stop, step)` ranges\n", "\n", "Note that, at the time of writing, invariant reactions (three-phase 'regions' on binary diagrams) are not yet automatically detected so they\n", "are not drawn on the diagram.\n", "\n", "Also note that the [magic variable](https://ipython.readthedocs.io/en/stable/interactive/magics.html) `%matplotlib inline` should only be used in Jupyter notebooks.\n", "\n", "\n", "### TDB files\n", "\n", "The TDB files should be located in the current working directory of the notebook. If you are running using a Jupyter notebook, the default working directory is the directory that that notebook is saved in. \n", "\n", "To check the working directory, run:\n", "\n", "```python\n", "import os\n", "print(os.path.abspath(os.curdir))\n", "```\n", "\n", "TDB files can be found in the literature. The [Thermodynamic DataBase DataBase](https://avdwgroup.engin.brown.edu) (TDBDB) has indexed many available databases and links to the original papers and/or TDB files where possible.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Al-Zn (S. Mey, 1993)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The miscibility gap in the fcc phase is included in the Al-Zn diagram, shown below.\n", "\n", "The format for specifying a range of a state variable is (*start*, *stop*, *step*).\n", "\n", "S. an Mey, Zeitschrift für Metallkunde 84(7) (1993) 451-455." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2022-02-19T19:15:04.831456Z", "iopub.status.busy": "2022-02-19T19:15:04.831456Z", "iopub.status.idle": "2022-02-19T19:15:09.211526Z", "shell.execute_reply": "2022-02-19T19:15:09.211526Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "from pycalphad import Database, binplot\n", "import pycalphad.variables as v\n", "\n", "# Load database and choose the phases that will be considered\n", "db_alzn = Database('alzn_mey.tdb')\n", "my_phases_alzn = ['LIQUID', 'FCC_A1', 'HCP_A3']\n", "\n", "# Create a matplotlib Figure object and get the active Axes\n", "fig = plt.figure(figsize=(9,6))\n", "axes = fig.gca()\n", "\n", "# Compute the phase diagram and plot it on the existing axes using the `plot_kwargs={'ax': axes}` keyword argument\n", "binplot(db_alzn, ['AL', 'ZN', 'VA'] , my_phases_alzn, {v.X('ZN'):(0,1,0.02), v.T: (300, 1000, 10), v.P:101325, v.N: 1}, plot_kwargs={'ax': axes})\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Al-Mg (Y. Zhong, 2005)\n", "\n", "Y. Zhong, M. Yang, Z.-K. Liu, CALPHAD 29 (2005) 303-311 doi:[10.1016/j.calphad.2005.08.004](https://doi.org/10.1016/j.calphad.2005.08.004)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2022-02-19T19:15:09.221507Z", "iopub.status.busy": "2022-02-19T19:15:09.221507Z", "iopub.status.idle": "2022-02-19T19:15:20.361578Z", "shell.execute_reply": "2022-02-19T19:15:20.361578Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "from pycalphad import Database, binplot\n", "import pycalphad.variables as v\n", "\n", "# Load database \n", "dbf = Database('Al-Mg_Zhong.tdb')\n", "# Define the components\n", "comps = ['AL', 'MG', 'VA']\n", "# Get all possible phases programmatically\n", "phases = dbf.phases.keys()\n", "\n", "# Plot the phase diagram, if no axes are supplied, a new figure with axes will be created automatically\n", "binplot(dbf, comps, phases, {v.N: 1, v.P:101325, v.T: (300, 1000, 10), v.X('MG'):(0, 1, 0.02)})\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Al-Ni (Dupin, 2001)\n", "\n", "Components and conditions can also be stored as variables and passed to binplot.\n", "\n", "N. Dupin, I. Ansara, B. Sundman, CALPHAD 25(2) (2001) 279-298 doi:[10.1016/S0364-5916(01)00049-9](https://doi.org/10.1016/S0364-5916(01)00049-9)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2022-02-19T19:15:20.371450Z", "iopub.status.busy": "2022-02-19T19:15:20.371450Z", "iopub.status.idle": "2022-02-19T19:15:34.521991Z", "shell.execute_reply": "2022-02-19T19:15:34.521991Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "from pycalphad import Database, binplot\n", "import pycalphad.variables as v\n", "\n", "# Load database\n", "dbf = Database('NI_AL_DUPIN_2001.TDB')\n", "# Set the components to consider, including vacanies (VA) explictly.\n", "comps = ['AL', 'NI', 'VA']\n", "# Get all the phases in the database programatically\n", "phases = list(dbf.phases.keys())\n", "# Create the dictionary of conditions\n", "conds = {\n", " v.N: 1, v.P: 101325,\n", " v.T: (300, 2000, 10), # (start, stop, step)\n", " v.X('AL'): (1e-5, 1, 0.02), # (start, stop, step)\n", "}\n", "\n", "# Create a matplotlib Figure object and get the active Axes\n", "fig = plt.figure(figsize=(9,6))\n", "axes = fig.gca()\n", "\n", "# Plot by passing in all the variables\n", "binplot(dbf, comps, phases, conds, plot_kwargs={'ax': axes})\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Al-Fe (M. Seiersten, 1991)\n", "\n", "Removing tielines" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2022-02-19T19:15:34.531400Z", "iopub.status.busy": "2022-02-19T19:15:34.531400Z", "iopub.status.idle": "2022-02-19T19:16:16.771602Z", "shell.execute_reply": "2022-02-19T19:16:16.771602Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "from pycalphad import Database, binplot\n", "import pycalphad.variables as v\n", "\n", "# Load database and choose the phases that will be considered\n", "db_alfe = Database('alfe_sei.TDB')\n", "my_phases_alfe = ['LIQUID', 'B2_BCC', 'FCC_A1', 'HCP_A3', 'AL5FE2', 'AL2FE', 'AL13FE4', 'AL5FE4']\n", "\n", "# Create a matplotlib Figure object and get the active Axes\n", "fig = plt.figure(figsize=(9,6))\n", "axes = fig.gca()\n", "\n", "# Plot the phase diagram on the existing axes using the `plot_kwargs={'ax': axes}` keyword argument\n", "# Tielines are turned off by including `'tielines': False` in the plotting keword argument\n", "binplot(db_alfe, ['AL', 'FE', 'VA'] , my_phases_alfe, {v.X('AL'):(0,1,0.01), v.T: (300, 2000, 10), v.P:101325}, plot_kwargs={'ax': axes, 'tielines': False})\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Nb-Re (Liu, 2013)\n", "\n", "X.L. Liu, C.Z. Hargather, Z.-K. Liu, CALPHAD 41 (2013) 119-127 doi:[10.1016/j.calphad.2013.02.006](https://doi.org/10.1016/j.calphad.2013.02.006)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2022-02-19T19:16:16.781609Z", "iopub.status.busy": "2022-02-19T19:16:16.781609Z", "iopub.status.idle": "2022-02-19T19:16:49.936269Z", "shell.execute_reply": "2022-02-19T19:16:49.937268Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "from pycalphad import Database, binplot, variables as v\n", "\n", "# Load database and choose the phases that will be plotted\n", "db_nbre = Database('nbre_liu.tdb')\n", "my_phases_nbre = ['CHI_RENB', 'SIGMARENB', 'FCC_RENB', 'LIQUID_RENB', 'BCC_RENB', 'HCP_RENB']\n", "\n", "# Create a matplotlib Figure object and get the active Axes\n", "fig = plt.figure(figsize=(9,6))\n", "axes = fig.gca()\n", "\n", "# Plot the phase diagram on the existing axes using the `plot_kwargs={'ax': axes}` keyword argument\n", "binplot(db_nbre, ['NB', 'RE'] , my_phases_nbre, {v.X('RE'): (0,1,0.01), v.T: (1000, 3500, 20), v.P:101325}, plot_kwargs={'ax': axes})\n", "\n", "axes.set_xlim(0, 1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Calculating Energy Surfaces of Binary Systems\n", "\n", "It is very common in CALPHAD modeling to directly examine the Gibbs energy surface of all the constituent phases in a system.\n", "\n", "Below we show how the Gibbs energy of all phases may be calculated as a function of composition at a given temperature (2800 K).\n", "\n", "Note that the chi phase has additional, internal degrees of freedom which allow it to take on multiple states for a given\n", "overall composition. Only the low-energy states are relevant to calculating the equilibrium phase diagram." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2022-02-19T19:16:49.958474Z", "iopub.status.busy": "2022-02-19T19:16:49.956474Z", "iopub.status.idle": "2022-02-19T19:16:50.747368Z", "shell.execute_reply": "2022-02-19T19:16:50.748370Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "from pycalphad import Database, calculate, variables as v\n", "from pycalphad.plot.utils import phase_legend\n", "import numpy as np\n", "\n", "# Load database and choose the phases that will be plotted\n", "db_nbre = Database('nbre_liu.tdb')\n", "my_phases_nbre = ['CHI_RENB', 'SIGMARENB', 'FCC_RENB', 'LIQUID_RENB', 'BCC_RENB', 'HCP_RENB']\n", "\n", "# Get the colors that map phase names to colors in the legend\n", "legend_handles, color_dict = phase_legend(my_phases_nbre)\n", "\n", "fig = plt.figure(figsize=(9,6))\n", "ax = fig.gca()\n", "\n", "# Loop over phases, calculate the Gibbs energy, and scatter plot GM vs. X(RE)\n", "for phase_name in my_phases_nbre:\n", " result = calculate(db_nbre, ['NB', 'RE'], phase_name, P=101325, T=2800, output='GM')\n", " ax.scatter(result.X.sel(component='RE'), result.GM, marker='.', s=5, color=color_dict[phase_name])\n", "\n", "# Format the plot\n", "ax.set_xlabel('X(RE)')\n", "ax.set_ylabel('GM')\n", "ax.set_xlim((0, 1))\n", "ax.legend(handles=legend_handles, loc='center left', bbox_to_anchor=(1, 0.6))\n", "plt.show()" ] } ], "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" } }, "nbformat": 4, "nbformat_minor": 4 }