{ "cells": [ { "cell_type": "markdown", "id": "51fc4c53-80ee-4cef-a464-0548f8fbd6cf", "metadata": {}, "source": [ "# Line Phases\n", "\n", "This example adds an intermetallic (or line phase) without solubility to the same setup of the\n", "ideal solution example." ] }, { "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": { "execution": { "iopub.execute_input": "2026-05-22T22:33:20.585824Z", "iopub.status.busy": "2026-05-22T22:33:20.585669Z", "iopub.status.idle": "2026-05-22T22:33:22.260323Z", "shell.execute_reply": "2026-05-22T22:33:22.259403Z" }, "tags": [] }, "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, plot_excess_free_energy" ] }, { "cell_type": "code", "execution_count": 2, "id": "e7dff885-fc55-431c-a58f-74906eb8612e", "metadata": { "execution": { "iopub.execute_input": "2026-05-22T22:33:22.262153Z", "iopub.status.busy": "2026-05-22T22:33:22.261898Z", "iopub.status.idle": "2026-05-22T22:33:22.264730Z", "shell.execute_reply": "2026-05-22T22:33:22.264035Z" }, "tags": [] }, "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": { "execution": { "iopub.execute_input": "2026-05-22T22:33:22.266211Z", "iopub.status.busy": "2026-05-22T22:33:22.266064Z", "iopub.status.idle": "2026-05-22T22:33:22.268693Z", "shell.execute_reply": "2026-05-22T22:33:22.268001Z" }, "tags": [] }, "outputs": [], "source": [ "import seaborn as sns\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "id": "f5e690f3-ab0a-4153-bb91-d07175e93b9d", "metadata": {}, "source": [ "## Phases Setup\n", "\n", "Same phase setup as in `IdealSolution.ipynb`. Energies and entropies are picked manually to make simple examples." ] }, { "cell_type": "code", "execution_count": 4, "id": "f75fc0cd-fb3d-4222-b161-a41624bbb22b", "metadata": { "execution": { "iopub.execute_input": "2026-05-22T22:33:22.270571Z", "iopub.status.busy": "2026-05-22T22:33:22.270282Z", "iopub.status.idle": "2026-05-22T22:33:22.273334Z", "shell.execute_reply": "2026-05-22T22:33:22.272582Z" }, "tags": [] }, "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": { "execution": { "iopub.execute_input": "2026-05-22T22:33:22.275042Z", "iopub.status.busy": "2026-05-22T22:33:22.274889Z", "iopub.status.idle": "2026-05-22T22:33:22.277654Z", "shell.execute_reply": "2026-05-22T22:33:22.276854Z" }, "tags": [] }, "outputs": [], "source": [ "solid = IdealSolution('solid', solid_a, solid_b)" ] }, { "cell_type": "code", "execution_count": 6, "id": "f70799ed-97bd-4538-beb6-0c8e18535b23", "metadata": { "execution": { "iopub.execute_input": "2026-05-22T22:33:22.279232Z", "iopub.status.busy": "2026-05-22T22:33:22.279068Z", "iopub.status.idle": "2026-05-22T22:33:22.282252Z", "shell.execute_reply": "2026-05-22T22:33:22.281320Z" }, "tags": [] }, "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": { "execution": { "iopub.execute_input": "2026-05-22T22:33:22.283784Z", "iopub.status.busy": "2026-05-22T22:33:22.283620Z", "iopub.status.idle": "2026-05-22T22:33:22.286196Z", "shell.execute_reply": "2026-05-22T22:33:22.285485Z" }, "tags": [] }, "outputs": [], "source": [ "liquid = IdealSolution('liquid', liquid_a, liquid_b)" ] }, { "cell_type": "code", "execution_count": 8, "id": "8bd6e597-cf14-4317-8275-562016416129", "metadata": { "execution": { "iopub.execute_input": "2026-05-22T22:33:22.287777Z", "iopub.status.busy": "2026-05-22T22:33:22.287629Z", "iopub.status.idle": "2026-05-22T22:33:22.290615Z", "shell.execute_reply": "2026-05-22T22:33:22.289664Z" }, "tags": [] }, "outputs": [], "source": [ "inter = LinePhase('AB$_2$', fixed_concentration=2/3, line_energy=-2.8, line_entropy=1.3*kB)" ] }, { "cell_type": "code", "execution_count": 9, "id": "504f19fc-d14b-4e12-a6ed-8171cb1bab12", "metadata": { "execution": { "iopub.execute_input": "2026-05-22T22:33:22.292049Z", "iopub.status.busy": "2026-05-22T22:33:22.291886Z", "iopub.status.idle": "2026-05-22T22:33:55.052961Z", "shell.execute_reply": "2026-05-22T22:33:55.052104Z" }, "tags": [] }, "outputs": [], "source": [ "df = calc_phase_diagram([solid, liquid, inter], Ts=np.linspace(1, 2000, 100), mu=200, keep_unstable=True)" ] }, { "cell_type": "code", "execution_count": 10, "id": "c75f6885-afb2-461c-a45f-332f3f6f948f", "metadata": { "execution": { "iopub.execute_input": "2026-05-22T22:33:55.054996Z", "iopub.status.busy": "2026-05-22T22:33:55.054822Z", "iopub.status.idle": "2026-05-22T22:33:55.057818Z", "shell.execute_reply": "2026-05-22T22:33:55.056940Z" } }, "outputs": [], "source": [ "import landau.poly as lp" ] }, { "cell_type": "code", "execution_count": 11, "id": "ae5b2dee-3224-4d5a-ac8f-dae04a1ff0a2", "metadata": { "execution": { "iopub.execute_input": "2026-05-22T22:33:55.059404Z", "iopub.status.busy": "2026-05-22T22:33:55.059226Z", "iopub.status.idle": "2026-05-22T22:33:59.866546Z", "shell.execute_reply": "2026-05-22T22:33:59.865706Z" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 4.39 s, sys: 475 ms, total: 4.87 s\n", "Wall time: 4.54 s\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%time\n", "plot_mu_phase_diagram(df, poly_method=lp.FastTsp(duration_seconds=1))" ] }, { "cell_type": "code", "execution_count": 12, "id": "474e8b49-a406-4b49-af2c-7b9e98631f12", "metadata": { "execution": { "iopub.execute_input": "2026-05-22T22:33:59.868182Z", "iopub.status.busy": "2026-05-22T22:33:59.868018Z", "iopub.status.idle": "2026-05-22T22:34:01.319324Z", "shell.execute_reply": "2026-05-22T22:34:01.318498Z" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/runner/work/landau/landau/landau/poly.py:69: UserWarning: SegmentFastTsp._make produced an invalid polygon (Self-intersection[0.681215015742246 -2.05233178430845]); repairing it.\n", " warn(f\"{type(self).__name__}._make produced an invalid polygon \"\n", "/home/runner/work/landau/landau/landau/poly.py:69: UserWarning: SegmentFastTsp._make produced an invalid polygon (Ring Self-intersection[-0.521516394612764 -1.87569296489371]); repairing it.\n", " warn(f\"{type(self).__name__}._make produced an invalid polygon \"\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 1.35 s, sys: 12.1 ms, total: 1.36 s\n", "Wall time: 1.35 s\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%time\n", "plot_phase_diagram(df, tielines=True)" ] }, { "cell_type": "markdown", "id": "f869dbbf-50a1-49d3-ac4c-2194243b8033", "metadata": {}, "source": [ "### Zoom on Invariant Reactions" ] }, { "cell_type": "code", "execution_count": 13, "id": "4185ee2e-acd4-41dd-b24c-8aef9f1981a9", "metadata": { "execution": { "iopub.execute_input": "2026-05-22T22:34:01.321020Z", "iopub.status.busy": "2026-05-22T22:34:01.320850Z", "iopub.status.idle": "2026-05-22T22:34:32.864627Z", "shell.execute_reply": "2026-05-22T22:34:32.863772Z" }, "tags": [] }, "outputs": [], "source": [ "df = calc_phase_diagram([solid, liquid, inter], Ts=np.linspace(700, 900, 100), mu=200, keep_unstable=True)" ] }, { "cell_type": "code", "execution_count": 14, "id": "3cdd95d6-e822-4b7a-8074-1215ec742b7f", "metadata": { "execution": { "iopub.execute_input": "2026-05-22T22:34:32.866963Z", "iopub.status.busy": "2026-05-22T22:34:32.866768Z", "iopub.status.idle": "2026-05-22T22:34:34.143202Z", "shell.execute_reply": "2026-05-22T22:34:34.142412Z" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 1.16 s, sys: 1.02 ms, total: 1.16 s\n", "Wall time: 1.16 s\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%time\n", "plot_phase_diagram(df, tielines=True)" ] }, { "cell_type": "code", "execution_count": 15, "id": "3cd8d670-5788-413a-8886-bdcfe8e18546", "metadata": { "execution": { "iopub.execute_input": "2026-05-22T22:34:34.144842Z", "iopub.status.busy": "2026-05-22T22:34:34.144679Z", "iopub.status.idle": "2026-05-22T22:35:06.258840Z", "shell.execute_reply": "2026-05-22T22:35:06.257923Z" }, "tags": [] }, "outputs": [], "source": [ "df = calc_phase_diagram([solid, liquid, inter], Ts=np.linspace(1450, 1750, 100), mu=200, keep_unstable=True)" ] }, { "cell_type": "code", "execution_count": 16, "id": "9c66969d-2c12-4eb4-b4df-e27880724b06", "metadata": { "execution": { "iopub.execute_input": "2026-05-22T22:35:06.260540Z", "iopub.status.busy": "2026-05-22T22:35:06.260337Z", "iopub.status.idle": "2026-05-22T22:35:07.804259Z", "shell.execute_reply": "2026-05-22T22:35:07.803480Z" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 1.44 s, sys: 1 ms, total: 1.45 s\n", "Wall time: 1.44 s\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%time\n", "plot_phase_diagram(df, tielines=True)" ] }, { "cell_type": "markdown", "id": "f250bfcb-6834-442a-85f1-10fe1ae116c3", "metadata": {}, "source": [ "## Congruent Melting of Intermetallic Phase\n", "\n", "In general, the phase boundaries in a phase diagram demark where the semi-grand potentials are equal across phases.\n", "For intermetallics with neglible solubility, we can follow the isopotential lines along temperature to find the exact melting point.\n", "landau does this implicitly when calculating the full phase diagram, but we can follow along temperature only, if we print the equilibrium chemical potential from the full calculation above and then recalculate the equilibria at that potential." ] }, { "cell_type": "code", "execution_count": 17, "id": "345e9b2a-c6ed-4f98-8192-1d306f194940", "metadata": { "execution": { "iopub.execute_input": "2026-05-22T22:35:07.805822Z", "iopub.status.busy": "2026-05-22T22:35:07.805666Z", "iopub.status.idle": "2026-05-22T22:35:07.813874Z", "shell.execute_reply": "2026-05-22T22:35:07.813182Z" } }, "outputs": [ { "data": { "text/plain": [ "mu -0.857277\n", "T 1654.559173\n", "Name: 60568, dtype: float64" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ab = df.query('border and phase == \"AB$_2$\"')\n", "ab.loc[ab['T'].idxmax(),['mu', 'T']]" ] }, { "cell_type": "code", "execution_count": 18, "id": "766fcded-1c2a-4a45-9fac-ca6af4d78454", "metadata": { "execution": { "iopub.execute_input": "2026-05-22T22:35:07.815338Z", "iopub.status.busy": "2026-05-22T22:35:07.815191Z", "iopub.status.idle": "2026-05-22T22:35:08.182957Z", "shell.execute_reply": "2026-05-22T22:35:08.182154Z" }, "tags": [] }, "outputs": [], "source": [ "df = calc_phase_diagram([solid, liquid, inter], Ts=np.linspace(1500, 1800, 100), mu=-0.858751, keep_unstable=True)" ] }, { "cell_type": "code", "execution_count": 19, "id": "193589f3-ff22-43a1-91ee-11bf6f79f00b", "metadata": { "execution": { "iopub.execute_input": "2026-05-22T22:35:08.184849Z", "iopub.status.busy": "2026-05-22T22:35:08.184683Z", "iopub.status.idle": "2026-05-22T22:35:08.364976Z", "shell.execute_reply": "2026-05-22T22:35:08.364150Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_1d_T_phase_diagram(df)" ] }, { "cell_type": "markdown", "id": "dc88683d-306d-4b95-b1a1-a560534a04de", "metadata": {}, "source": [ "## Double Tangent Construction and Free Energies of Formation\n", "\n", "`landau` works entirely in chemical potential space, but the equivalent double tangent constructions can be reconstructed from the dataframes returned from `calc_phase_diagram`.\n", "The example below first calculates three isothermal sections of the phase diagram" ] }, { "cell_type": "code", "execution_count": 20, "id": "cf613b46-680d-4303-ad03-a80a075bcaa2", "metadata": { "execution": { "iopub.execute_input": "2026-05-22T22:35:08.366610Z", "iopub.status.busy": "2026-05-22T22:35:08.366423Z", "iopub.status.idle": "2026-05-22T22:35:08.369171Z", "shell.execute_reply": "2026-05-22T22:35:08.368350Z" } }, "outputs": [], "source": [ "import pandas as pd" ] }, { "cell_type": "code", "execution_count": 21, "id": "a1984d7f-d9a9-4047-aad1-f031504e26df", "metadata": { "execution": { "iopub.execute_input": "2026-05-22T22:35:08.370642Z", "iopub.status.busy": "2026-05-22T22:35:08.370493Z", "iopub.status.idle": "2026-05-22T22:35:08.429750Z", "shell.execute_reply": "2026-05-22T22:35:08.428880Z" }, "tags": [] }, "outputs": [], "source": [ "df = pd.concat([\n", " calc_phase_diagram([solid, liquid, inter], Ts=T, mu=100, keep_unstable=True)\n", " for T in [500, 1000, 1600]\n", "], ignore_index=True)" ] }, { "cell_type": "code", "execution_count": 22, "id": "f7e924fe-8cee-450c-b38d-ccc96029803b", "metadata": { "execution": { "iopub.execute_input": "2026-05-22T22:35:08.431233Z", "iopub.status.busy": "2026-05-22T22:35:08.431079Z", "iopub.status.idle": "2026-05-22T22:35:09.137002Z", "shell.execute_reply": "2026-05-22T22:35:09.136270Z" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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