{ "cells": [ { "cell_type": "markdown", "id": "9ffbc244-b123-44d8-a4b9-b64ae2e097a1", "metadata": {}, "source": [ "# Ideal Solution" ] }, { "cell_type": "markdown", "id": "51f4e206-e952-40be-927c-af0988430153", "metadata": {}, "source": [ "## Prelude " ] }, { "cell_type": "code", "execution_count": 1, "id": "b100d1be-5b9e-4fe7-a193-e1692cfcff0d", "metadata": {}, "outputs": [], "source": [ "from landau.phases import LinePhase, IdealSolution\n", "from landau.calculate import calc_phase_diagram\n", "from landau.plot import plot_phase_diagram, plot_1d_T_phase_diagram, plot_1d_mu_phase_diagram, plot_mu_phase_diagram" ] }, { "cell_type": "code", "execution_count": 2, "id": "e7dff885-fc55-431c-a58f-74906eb8612e", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from scipy.constants import Boltzmann, eV\n", "kB = Boltzmann/eV" ] }, { "cell_type": "code", "execution_count": 3, "id": "10176425-e454-429b-a8c0-80453ecff3ed", "metadata": {}, "outputs": [], "source": [ "import seaborn as sns\n", "import matplotlib.pyplot as plt" ] }, { "attachments": { "7e12bd49-88f7-4281-84f8-c79fc15bc53c.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "f5e690f3-ab0a-4153-bb91-d07175e93b9d", "metadata": {}, "source": [ "## Phases Setup\n", "\n", "Set up some simple toy phase models that yields this phase diagram.\n", "\n", "![image.png](attachment:7e12bd49-88f7-4281-84f8-c79fc15bc53c.png)" ] }, { "cell_type": "code", "execution_count": 4, "id": "f75fc0cd-fb3d-4222-b161-a41624bbb22b", "metadata": {}, "outputs": [], "source": [ "solid_a = LinePhase('A', fixed_concentration=0, line_energy=-2.0, line_entropy=1.0*kB)\n", "solid_b = LinePhase('B', fixed_concentration=1, line_energy=-3.0, line_entropy=1.5*kB)" ] }, { "cell_type": "code", "execution_count": 5, "id": "dd05bdb9-b3fd-4371-b963-b81aa1118996", "metadata": {}, "outputs": [], "source": [ "solid = IdealSolution('solid', solid_a, solid_b)" ] }, { "cell_type": "code", "execution_count": 6, "id": "f70799ed-97bd-4538-beb6-0c8e18535b23", "metadata": {}, "outputs": [], "source": [ "liquid_a = LinePhase('A(l)', fixed_concentration=0, line_energy=-1.9, line_entropy=2.5*kB)\n", "liquid_b = LinePhase('B(l)', fixed_concentration=1, line_energy=-2.9, line_entropy=2.2*kB)" ] }, { "cell_type": "code", "execution_count": 7, "id": "e32faa18-47ec-4cdc-b448-3f99e1242436", "metadata": {}, "outputs": [], "source": [ "liquid = IdealSolution('liquid', liquid_a, liquid_b)" ] }, { "cell_type": "markdown", "id": "10349bf6-d9ff-406e-92c6-b41f7539c4e9", "metadata": {}, "source": [ "## Examples for congruent melting\n", "\n", "For the terminals and at fixed concentration, the chemical potential difference does not matter, so we can set it to zero.\n", "In this case the semigrand potential is equal to the free energy." ] }, { "cell_type": "code", "execution_count": 8, "id": "47301e18-0807-4c54-a6f6-408573710f27", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12,6))\n", "plt.subplot(121)\n", "df = calc_phase_diagram([solid_a, liquid_a], Ts=np.linspace(100, 2000, 100), mu=0.0, keep_unstable=True)\n", "plot_1d_T_phase_diagram(df, ax=plt.gca(), show=False)\n", "\n", "plt.subplot(122)\n", "df = calc_phase_diagram([solid_b, liquid_b], Ts=np.linspace(100, 2000, 100), mu=0.0, keep_unstable=True)\n", "plot_1d_T_phase_diagram(df, ax=plt.gca(), show=False)" ] }, { "attachments": { "34445524-f63e-4a41-9f7c-8433984d73bd.png": { "image/png": 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" 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" } }, "cell_type": "markdown", "id": "1b02d56a-62f4-439a-acfa-400375e37d74", "metadata": {}, "source": [ "## Non-Congruent Melting\n", "\n", "However, the general formulation in the semigrand ensemble allows us to also investigate non-congruent melting transitions using the exact same code and formalism.\n", "\n", "![image.png](attachment:34445524-f63e-4a41-9f7c-8433984d73bd.png)\n", "\n", "To do this, let's first find out, what's the chemical potential difference where liquid and solid are in equilibrium at, say, 1000K.\n", "\n", "![image.png](attachment:722ceae4-6388-4b8d-bd9e-96242df369ac.png)" ] }, { "cell_type": "code", "execution_count": 9, "id": "8da37776-454c-4622-9b80-9277a74b8ed8", "metadata": {}, "outputs": [], "source": [ "T_twophase = 1000" ] }, { "cell_type": "code", "execution_count": 10, "id": "408487d3-f861-440b-b5f6-148c4969f6a7", "metadata": {}, "outputs": [], "source": [ "df = calc_phase_diagram([solid, liquid], Ts=T_twophase, mu=1000, keep_unstable=True)" ] }, { "cell_type": "code", "execution_count": 11, "id": "2aa59040-c25d-40ff-ad6b-8ddd9c98695d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_1d_mu_phase_diagram(df)" ] }, { "cell_type": "markdown", "id": "6b0ab603-6222-46ca-b553-792a6ff0b832", "metadata": {}, "source": [ "From the results, we can already get the concentrations on the liquidus and solidus, either by plot isotherms or numerically from the dataframe." ] }, { "cell_type": "code", "execution_count": 12, "id": "8d530a53-b506-4e11-9bf7-32f71c76a891", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Tphasephimucstableborderrefinedff_excess
20001000liquid-2.149932-1.0352110.329906TrueTruemu-2.491454-0.041544
20011000solid-2.149932-1.0352110.522831TrueTruemu-2.691173-0.045672
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" ], "text/plain": [ " T phase phi mu c stable border refined \\\n", "2000 1000 liquid -2.149932 -1.035211 0.329906 True True mu \n", "2001 1000 solid -2.149932 -1.035211 0.522831 True True mu \n", "\n", " f f_excess \n", "2000 -2.491454 -0.041544 \n", "2001 -2.691173 -0.045672 " ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.query('border')" ] }, { "cell_type": "code", "execution_count": 13, "id": "265d43a1-e0e5-4aa9-b02d-4ff33da41243", "metadata": {}, "outputs": [], "source": [ "mu_equilibrium_1000k = df.query('border').mu.iloc[0] # ~ -1.035 eV" ] }, { "cell_type": "code", "execution_count": 14, "id": "df8f8dc5-e0f7-4e56-8a7c-22f85f332e24", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "np.float64(-1.0352114196607491)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mu_equilibrium_1000k" ] }, { "cell_type": "code", "execution_count": 15, "id": "b7d41470-80d3-4f34-bbda-a97412b07dd5", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.lineplot(\n", " data=df,\n", " x='mu', y='c',\n", " hue='phase',\n", " style='stable', style_order=[True, False],\n", ")\n", "plt.axvline(mu_equilibrium_1000k, ls='dotted', c='k')" ] }, { "cell_type": "markdown", "id": "ea893b54-24bc-4b1d-80f2-e35cb55fbfc7", "metadata": {}, "source": [ "Using the `f` and `f_excess` columns, we can also plot the more familiar common tangent construction." ] }, { "cell_type": "code", "execution_count": 16, "id": "d0c1a0cd-93a2-43ca-8bd6-0075abfa8c18", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.lineplot(\n", " data=df,\n", " x='c', y='f',\n", " hue='phase',\n", " style='stable', style_order=[True, False]\n", ")\n", "sns.lineplot(\n", " data=df.query('border'),\n", " x='c', y='f',\n", " ls='dotted', c='k'\n", ")\n", "sns.scatterplot(\n", " data=df.query('border'),\n", " x='c', y='f',\n", " c='k',\n", " zorder=2\n", ")" ] }, { "cell_type": "markdown", "id": "af018711-23dc-430c-a352-0275858bceb4", "metadata": {}, "source": [ "Difficult to see in $f$ due to linear shift, let's use $f_\\mathrm{excess}$ to see it more clearly." ] }, { "cell_type": "code", "execution_count": 17, "id": "f7e924fe-8cee-450c-b38d-ccc96029803b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.lineplot(\n", " data=df,\n", " x='c', y='f_excess',\n", " hue='phase',\n", " style='stable', style_order=[True, False]\n", ")\n", "sns.lineplot(\n", " data=df.query('border'),\n", " x='c', y='f_excess',\n", " ls='dotted', c='k'\n", ")\n", "sns.scatterplot(\n", " data=df.query('border'),\n", " x='c', y='f_excess',\n", " c='k',\n", " zorder=2\n", ")" ] }, { "cell_type": "code", "execution_count": 18, "id": "16cba361-42f9-4b3e-98d3-4ee98484b749", "metadata": {}, "outputs": [], "source": [ "df = calc_phase_diagram([solid, liquid], Ts=np.linspace(0, 2000, 1000), mu=mu_equilibrium_1000k, keep_unstable=True, refine=True)" ] }, { "cell_type": "code", "execution_count": 19, "id": "2aa5bf2a-f5bc-4f86-b6c8-6f4ec782caef", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.lineplot(\n", " data=df,\n", " x='T', y='c',\n", " hue='phase',\n", " style='stable', style_order=[True, False],\n", ")\n", "plt.axvline(T_twophase, ls='dotted', c='k')" ] }, { "cell_type": "markdown", "id": "584880ae-ed9f-4089-a9bc-ad945bfe75db", "metadata": {}, "source": [ "## Appendix: Inline Plots\n", "\n", "Code that generates the pasted pictures above." ] }, { "cell_type": "code", "execution_count": 31, "id": "58cbd053-3297-4244-a69d-e68935ae1cff", "metadata": {}, "outputs": [], "source": [ "bdf = calc_phase_diagram([solid, liquid], Ts=np.linspace(0, 2000, 100), mu=200, keep_unstable=True)" ] }, { "cell_type": "markdown", "id": "4bd8dcf6-4042-4578-8597-03b7dd3347bd", "metadata": {}, "source": [ "### Fig1" ] }, { "cell_type": "code", "execution_count": 32, "id": "ec3da6fe-543e-4cec-b934-802bf7f7dcc7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12,6))\n", "plt.subplot(121)\n", "plot_phase_diagram(bdf, element='B', poly_method='fasttsp')\n", "plt.subplot(122)\n", "plot_mu_phase_diagram(bdf, element='B', poly_method='fasttsp')" ] }, { "cell_type": "markdown", "id": "9cec3607-7bd1-40bb-a6da-5bd9f03a4060", "metadata": {}, "source": [ "### Fig3" ] }, { "cell_type": "code", "execution_count": 34, "id": "362af329-033c-4aaf-85d3-7fb4341df543", "metadata": {}, "outputs": [], "source": [ "T_twophase = 1000" ] }, { "cell_type": "code", "execution_count": 35, "id": "b28dda33-0f36-4e69-896c-8d37e8f67d3c", "metadata": {}, "outputs": [], "source": [ "df1000 = calc_phase_diagram([solid, liquid], Ts=1000, mu=1000, keep_unstable=True)\n", "mu_equilibrium_1000k = df.query('border').mu.iloc[0]" ] }, { "cell_type": "code", "execution_count": 36, "id": "36d49bcc-e4d8-4e4e-b335-20094d51b333", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_phase_diagram(bdf, element='B', poly_method='fasttsp')\n", "plt.axhline(1000, ls='-', c='k')\n", "sns.scatterplot(\n", " data=df1000.query('border'),\n", " x='c', y='T',\n", " marker='o', c='k'\n", ")" ] }, { "cell_type": "markdown", "id": "9f79cfbd-7980-4b77-bea5-0fee65807ec9", "metadata": {}, "source": [ "### Fig2" ] }, { "cell_type": "code", "execution_count": 38, "id": "62588686-eee2-4d06-acc4-9a956cb1738a", "metadata": {}, "outputs": [], "source": [ "dfisomu = calc_phase_diagram([solid, liquid], Ts=np.linspace(0, 2000, 1000), mu=mu_equilibrium_1000k, keep_unstable=True, refine=True)" ] }, { "cell_type": "code", "execution_count": 39, "id": "499392d6-1199-4003-9ab5-829b1fcd0db1", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_phase_diagram(bdf, element='B', poly_method='fasttsp')\n", "sns.lineplot(\n", " data=dfisomu.query('stable'),\n", " x='c', y='T',\n", " orient='y', \n", " # sort=False,\n", " estimator=None,\n", " c='k'\n", ")" ] } ], "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": "3.13.0" } }, "nbformat": 4, "nbformat_minor": 5 }