{ "cells": [ { "cell_type": "markdown", "id": "a1b2c3d4-0001-4001-8001-a00000000001", "metadata": {}, "source": [ "# Point Defect Model\n", "\n", "Many intermetallic compounds are stable over a range of compositions because atoms can swap between\n", "sublattices or leave vacancies behind. In the CALPHAD community this is captured by the\n", "**Compound Energy Formalism (CEF)**, where each sublattice carries its own site-fraction variables\n", "and the Gibbs energy is expanded over all \"endmember\" configurations. `landau` provides an\n", "equivalent but physically transparent formulation derived directly from the **semi-grand canonical\n", "partition function**, making it straightforward to connect first-principles point-defect calculations\n", "to thermodynamic phase diagrams.\n", "\n", "## Theory\n", "\n", "### Crystal model\n", "\n", "Consider a crystalline phase whose primitive unit cell is partitioned into $L$ crystallographic\n", "sublattices. Sublattice $l$ contains $n_l$ sites per unit cell; the fraction of all atomic sites\n", "belonging to sublattice $l$ is\n", "\n", "$$\\eta_l = \\frac{n_l}{\\sum_{l'} n_{l'}}.$$\n", "\n", "For a **binary A–B alloy** each site on sublattice $l$ can be in three states: occupied by the\n", "host species, occupied by an antisite, or vacant.\n", "\n", "### Excess semi-grand potential of a defect\n", "\n", "The **excess semi-grand potential** of a single point defect relative to the same volume of\n", "perfect host crystal is\n", "\n", "$$[\\phi_i^l] = [g_i^l] - \\Delta\\mu\\,[n_i^l],$$\n", "\n", "where $[g_i^l] = E_i^l - T S_i^l$ is the defect formation free energy, $[n_i^l]$ is the excess\n", "number of B-type solute atoms contributed by defect $i$ on sublattice $l$, and\n", "$\\Delta\\mu = \\mu_B - \\mu_A$ is the semi-grand chemical potential.\n", "\n", "### Semi-grand partition function\n", "\n", "Because defects on different sublattices are independent, the partition function factorises.\n", "The **total semi-grand potential per atom** of the defected phase is\n", "\n", "$$\\boxed{\\phi(\\beta, \\Delta\\mu) = \\phi_\\text{host}(\\beta, \\Delta\\mu)\n", " - \\frac{1}{\\beta} \\sum_l \\eta_l\n", " \\ln\\!\\left(1 + \\sum_i e^{-\\beta[\\phi_i^l]}\\right)} \\tag{1}$$\n", "\n", "The corresponding **concentration** follows from $c = -\\partial\\phi/\\partial(\\Delta\\mu)$:\n", "\n", "$$c(\\beta, \\Delta\\mu) = c_\\text{host}\n", " + \\sum_l \\eta_l \\sum_i [n_i^l]\\, x_i^l(\\beta, \\Delta\\mu) \\tag{2}$$\n", "\n", "with the **defect site fraction** (softmax over all states of a sublattice site)\n", "\n", "$$x_i^l = \\frac{e^{-\\beta[\\phi_i^l]}}{1 + \\sum_{i'} e^{-\\beta[\\phi_{i'}^l]}}. \\tag{3}$$\n", "\n", "The denominator captures **site competition**: a sublattice site can only be in one state at a\n", "time, so $\\sum_i x_i^l \\le 1$ and concentrations are always physically bounded.\n", "\n", "### Connection to the Compound Energy Formalism\n", "\n", "Equation (1) is equivalent to the CEF at the level of ideal mixing, with the identifications:\n", "\n", "- Endmember energies $G_{s_1:s_2:\\cdots}$ $\\leftrightarrow$ combinations of\n", " $\\phi_\\text{host}$ and defect formation energies $E_i^l$.\n", "- Site fractions $y_s^l$ $\\leftrightarrow$ defect site fractions $x_i^l$ (Eq. 3).\n", "\n", "The practical difference: the CEF parametrises **endmember energies** (which can be hard to\n", "access for unstable endmembers), while the point defect model parametrises **individual defect\n", "formation energies** — the natural output of DFT supercell calculations." ] }, { "cell_type": "markdown", "id": "a1b2c3d4-0001-4001-8001-a00000000002", "metadata": {}, "source": [ "## Prelude" ] }, { "cell_type": "code", "execution_count": 1, "id": "a1b2c3d4-0001-4001-8001-a00000000003", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:39:59.849098Z", "iopub.status.busy": "2026-06-16T12:39:59.848909Z", "iopub.status.idle": "2026-06-16T12:40:01.852878Z", "shell.execute_reply": "2026-06-16T12:40:01.850990Z" } }, "outputs": [], "source": [ "from landau.phases import LinePhase, IdealSolution\n", "from landau.phases.pointdefects import (\n", " ConstantPointDefect,\n", " PointDefectSublattice,\n", " LowTemperatureExpansionSublattice,\n", " PointDefectedPhase,\n", ")\n", "from landau.features import Locus\n", "from landau.calculate import calc_phase_diagram\n", "from landau.plot import plot_phase_diagram, plot_1d_mu_phase_diagram" ] }, { "cell_type": "code", "execution_count": 2, "id": "a1b2c3d4-0001-4001-8001-a00000000004", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:40:01.855939Z", "iopub.status.busy": "2026-06-16T12:40:01.855351Z", "iopub.status.idle": "2026-06-16T12:40:01.860675Z", "shell.execute_reply": "2026-06-16T12:40:01.859048Z" } }, "outputs": [], "source": [ "import numpy as np\n", "from scipy.constants import Boltzmann, eV\n", "kB = Boltzmann / eV" ] }, { "cell_type": "code", "execution_count": 3, "id": "a1b2c3d4-0001-4001-8001-a00000000005", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:40:01.863027Z", "iopub.status.busy": "2026-06-16T12:40:01.862795Z", "iopub.status.idle": "2026-06-16T12:40:01.867021Z", "shell.execute_reply": "2026-06-16T12:40:01.865506Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "id": "a1b2c3d4-0001-4001-8001-a00000000006", "metadata": {}, "source": [ "## Python API\n", "\n", "The point defect classes (all in `landau.phases`):\n", "\n", "| Class | Role |\n", "|-------|------|\n", "| `ConstantPointDefect` | Single defect with constant formation energy $E_i^l$ and entropy $S_i^l$ |\n", "| `PointDefectSublattice` | Exact sublattice: all defects on one sublattice **with** site competition (Eq. 1) |\n", "| `LowTemperatureExpansionSublattice` | The same sublattice in the dilute limit — drops site competition (see *Low-Temperature Expansion* below) |\n", "| `PointDefectedPhase` | Full phase = host `AbstractLinePhase` + list of sublattices |\n", "\n", "`PointDefectSublattice` and `LowTemperatureExpansionSublattice` are siblings under the abstract\n", "base `AbstractPointDefectSublattice`, which holds the shared machinery; the two differ only in how\n", "the per-site partition variables $z_i$ are combined." ] }, { "cell_type": "markdown", "id": "a1b2c3d4-0001-4001-8001-a00000000007", "metadata": {}, "source": [ "## Worked Example: B2 Intermetallic\n", "\n", "We model a B2 structure — two interpenetrating simple-cubic sublattices with one site per unit\n", "cell each ($\\eta_\\alpha = \\eta_\\beta = 0.5$). At stoichiometry the $\\alpha$-sublattice is\n", "occupied by A and the $\\beta$-sublattice by B.\n", "\n", "| Defect | Sublattice | $E_i$ (eV) | $[n_i]$ |\n", "|--------|------------|-----------|--------|\n", "| B$_\\alpha$ antisite | $\\alpha$ (A sites) | 0.28 | +1 |\n", "| V$_\\alpha$ vacancy | $\\alpha$ (A sites) | 0.45 | 0 |\n", "| A$_\\beta$ antisite | $\\beta$ (B sites) | 0.30 | −1 |\n", "| V$_\\beta$ vacancy | $\\beta$ (B sites) | 0.50 | 0 |\n", "\n", "The $\\alpha$-sublattice defects are given lower formation energies than their $\\beta$ counterparts, so the compound is asymmetric about $c = 0.5$, reaching further toward the B-rich side." ] }, { "cell_type": "code", "execution_count": 4, "id": "a1b2c3d4-0001-4001-8001-a00000000008", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:40:01.869529Z", "iopub.status.busy": "2026-06-16T12:40:01.869289Z", "iopub.status.idle": "2026-06-16T12:40:01.875369Z", "shell.execute_reply": "2026-06-16T12:40:01.874044Z" } }, "outputs": [], "source": [ "# Host: stoichiometric AB line phase\n", "host = LinePhase('AB', fixed_concentration=0.5, line_energy=-0.40, line_entropy=1.0*kB)\n", "\n", "# Defects on the alpha sublattice (A sites)\n", "B_alpha = ConstantPointDefect('B_alpha', excess_energy=0.28, excess_entropy=0, excess_solutes=+1)\n", "V_alpha = ConstantPointDefect('V_alpha', excess_energy=0.45, excess_entropy=0, excess_solutes=0)\n", "\n", "# Defects on the beta sublattice (B sites)\n", "A_beta = ConstantPointDefect('A_beta', excess_energy=0.30, excess_entropy=0, excess_solutes=-1)\n", "V_beta = ConstantPointDefect('V_beta', excess_energy=0.50, excess_entropy=0, excess_solutes=0)\n", "\n", "# Sublattices (eta = 0.5 each)\n", "alpha_sublattice = PointDefectSublattice(\n", " name='alpha', sublattice=0, sublattice_fraction=0.5,\n", " defects=[B_alpha, V_alpha],\n", ")\n", "beta_sublattice = PointDefectSublattice(\n", " name='beta', sublattice=1, sublattice_fraction=0.5,\n", " defects=[A_beta, V_beta],\n", ")\n", "\n", "# Full defected phase\n", "ab_defected = PointDefectedPhase(\n", " name='AB_defected',\n", " line_phase=host,\n", " sublattices=[alpha_sublattice, beta_sublattice],\n", ")" ] }, { "cell_type": "markdown", "id": "a1b2c3d4-0001-4001-8001-a00000000009", "metadata": {}, "source": [ "### Defect Site Fractions vs. Composition\n", "\n", "Equation (3) gives the site fraction $x_i^l$ of each defect type as a function of $\\Delta\\mu$.\n", "We scan $\\Delta\\mu$ and plot the defect populations against the total B concentration." ] }, { "cell_type": "code", "execution_count": 5, "id": "a1b2c3d4-0001-4001-8001-a00000000010", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:40:01.878110Z", "iopub.status.busy": "2026-06-16T12:40:01.877909Z", "iopub.status.idle": "2026-06-16T12:40:03.047383Z", "shell.execute_reply": "2026-06-16T12:40:03.046286Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T = 1000 # K\n", "dmus = np.linspace(-1.5, 1.5, 500)\n", "\n", "# Total B concentration at each chemical potential\n", "c_total = ab_defected.concentration(T, dmus)\n", "\n", "def site_fractions(sublattice, T, dmus):\n", " \"\"\"Return defect site fractions x_i^l (Eq. 3) for each defect on the sublattice.\"\"\"\n", " zes = sublattice._get_zes(T, dmus) # shape (n_defects, n_dmu)\n", " denom = 1 + zes.sum(axis=0)\n", " return {d.name: ze / denom for d, ze in zip(sublattice.defects, zes)}\n", "\n", "fracs_alpha = site_fractions(alpha_sublattice, T, dmus)\n", "fracs_beta = site_fractions(beta_sublattice, T, dmus)\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(12, 4), sharey=True)\n", "\n", "linestyles = ['-', '--']\n", "for ax, fracs, title in zip(\n", " axes,\n", " [fracs_alpha, fracs_beta],\n", " [r'$\\alpha$ sublattice (A sites)', r'$\\beta$ sublattice (B sites)'],\n", "):\n", " for (name, frac), ls in zip(fracs.items(), linestyles):\n", " ax.plot(c_total, frac, ls, label=name)\n", " ax.set_xlabel('B concentration')\n", " ax.set_ylabel('Defect site fraction')\n", " ax.set_title(title)\n", " ax.legend()\n", " ax.set_xlim(0, 1)\n", " ax.set_yscale('logit')\n", " ax.set_ylim(1e-6, 1 - 1e-6)\n", "\n", "fig.suptitle(f'Point defect site fractions — B2 model, T = {T} K')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "a1b2c3d4-0001-4001-8001-a00000000011", "metadata": {}, "source": [ "On the B-rich side ($c > 0.5$), B$_\\alpha$ antisites dominate; on the A-rich side ($c < 0.5$),\n", "A$_\\beta$ antisites dominate. The site competition captured by the denominator in Eq. (3) ensures\n", "that defect fractions remain physically bounded even at large off-stoichiometry." ] }, { "cell_type": "markdown", "id": "70263297-13bb-43b1-8b98-a8339f0415bd", "metadata": {}, "source": [ "### Defect Site Fractions vs. Δμ\n", "\n", "The same data plotted as a function of the chemical potential Δμ shows the Fermi-like\n", "switching of defect populations directly in μ-space, without the non-linear mapping\n", "through composition." ] }, { "cell_type": "code", "execution_count": 6, "id": "e5991862-cb90-4939-a5d0-e6da8f4db6a9", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:40:03.049674Z", "iopub.status.busy": "2026-06-16T12:40:03.049432Z", "iopub.status.idle": "2026-06-16T12:40:03.682768Z", "shell.execute_reply": "2026-06-16T12:40:03.681695Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(12, 4), sharey=True)\n", "\n", "for ax, fracs, title in zip(\n", " axes,\n", " [fracs_alpha, fracs_beta],\n", " [r'$\\alpha$ sublattice (A sites)', r'$\\beta$ sublattice (B sites)'],\n", "):\n", " for (name, frac), ls in zip(fracs.items(), linestyles):\n", " ax.plot(dmus, frac, ls, label=name)\n", " ax.set_xlabel(r'$\\Delta\\mu$ (eV)')\n", " ax.set_ylabel('Defect site fraction')\n", " ax.set_title(title)\n", " ax.legend()\n", " ax.set_yscale('logit')\n", " ax.set_ylim(1e-6, 1 - 1e-6)\n", "\n", "fig.suptitle(rf'Point defect site fractions vs. $\\Delta\\mu$ — B2 model, T = {T} K')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "a1b2c3d4-0001-4001-8001-a00000000012", "metadata": {}, "source": [ "### Terminal solid solutions and liquid\n", "\n", "Terminal solid solutions bracket the B2 compound; a liquid phase appears at high temperature.\n", "Parameters are chosen so that the A terminal melts at ≈ 1160 K and the B terminal at ≈ 858 K, giving an asymmetric diagram where the B2 compound remains stable up to intermediate temperatures." ] }, { "cell_type": "code", "execution_count": 7, "id": "d3f41a2f", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:40:03.685084Z", "iopub.status.busy": "2026-06-16T12:40:03.684860Z", "iopub.status.idle": "2026-06-16T12:40:03.689499Z", "shell.execute_reply": "2026-06-16T12:40:03.688473Z" } }, "outputs": [], "source": [ "# Terminal solid solutions\n", "solid_a = LinePhase('A', fixed_concentration=0, line_energy=-0.33, line_entropy=1.0*kB)\n", "solid_b = LinePhase('B', fixed_concentration=1, line_energy=-0.30, line_entropy=1.0*kB)\n", "solid = IdealSolution('solid', solid_a, solid_b)\n", "\n", "# Liquid (higher entropy; T_melt ≈ 1160 K for A, ≈ 858 K for B)\n", "liquid_a = LinePhase('A(l)', fixed_concentration=0, line_energy=-0.10, line_entropy=3.3*kB)\n", "liquid_b = LinePhase('B(l)', fixed_concentration=1, line_energy=-0.13, line_entropy=3.3*kB)\n", "liquid = IdealSolution('liquid', liquid_a, liquid_b)" ] }, { "cell_type": "markdown", "id": "391fea0f", "metadata": {}, "source": [ "### Isothermal 1D phase diagram\n", "\n", "Before computing the full T–c diagram, we check phase stability at a single temperature (800 K, well below the terminal melting points). `plot_1d_mu_phase_diagram` draws the semi-grand potential φ(Δμ) of each phase along the chemical-potential axis — solid where the phase is stable (lowest φ), dashed where it is metastable — with the transitions marked." ] }, { "cell_type": "code", "execution_count": 8, "id": "6b900717", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:40:03.691228Z", "iopub.status.busy": "2026-06-16T12:40:03.691032Z", "iopub.status.idle": "2026-06-16T12:40:04.077249Z", "shell.execute_reply": "2026-06-16T12:40:04.075954Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T_iso = 800 # K\n", "df_1d = calc_phase_diagram([solid, liquid, ab_defected], Ts=T_iso, mu=np.linspace(-1.0, 1.0, 200), keep_unstable=True)\n", "\n", "fig, ax = plt.subplots(figsize=(8, 4))\n", "plot_1d_mu_phase_diagram(df_1d, ax=ax)\n", "ax.set_title(f'1D $\\\\mu$ phase diagram at T = {T_iso} K')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "221a1999", "metadata": {}, "source": [ "### Full T–c phase diagram" ] }, { "cell_type": "code", "execution_count": 9, "id": "a1b2c3d4-0001-4001-8001-a00000000013", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:40:04.079203Z", "iopub.status.busy": "2026-06-16T12:40:04.079006Z", "iopub.status.idle": "2026-06-16T12:40:16.400432Z", "shell.execute_reply": "2026-06-16T12:40:16.398906Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df = calc_phase_diagram(\n", " [solid, liquid, ab_defected],\n", " Ts=np.linspace(200, 1400, 25),\n", " mu=np.linspace(-0.8, 0.8, 200),\n", ")\n", "plot_phase_diagram(df, tielines=True)" ] }, { "cell_type": "markdown", "id": "a050dfc6", "metadata": {}, "source": [ "## Low-Temperature Expansion\n", "\n", "Equation (1) is exact for non-interacting point defects, but the per-site\n", "$\\ln(1 + \\sum_i z_i)$ couples all defects on a sublattice through its denominator — the\n", "**site competition** that keeps $\\sum_i x_i^l \\le 1$. When the defects are *dilute*\n", "($z_i = e^{-\\beta[\\phi_i^l]} \\ll 1$, i.e. formation energies large compared to $k_B T$), the\n", "leading term of the low-temperature expansion $\\ln(1 + \\sum_i z_i) \\to \\sum_i z_i$ drops that\n", "coupling and leaves each defect an independent excitation with site fraction $x_i^l = z_i$:\n", "\n", "$$\\phi(\\beta, \\Delta\\mu) = \\phi_\\text{host}\n", " - \\frac{1}{\\beta} \\sum_l \\eta_l \\sum_i e^{-\\beta[\\phi_i^l]},\n", " \\qquad x_i^l = e^{-\\beta[\\phi_i^l]}.$$\n", "\n", "`LowTemperatureExpansionSublattice` implements this term. It is a drop-in sibling of\n", "`PointDefectSublattice` — both derive from `AbstractPointDefectSublattice` and consume the same\n", "`ConstantPointDefect` objects — so a `PointDefectedPhase` can be built from either without\n", "changing the defects.\n", "\n", "Because the site fractions are no longer normalised they can leave $[0, 1]$ outside the dilute\n", "regime, where the raw $\\phi = -\\tfrac{1}{\\beta}\\sum_l \\eta_l \\sum_i z_i$ would also run off to\n", "$-\\infty$. To stay physical *and* thermodynamically consistent, `PointDefectedPhase` clamps the\n", "total concentration to $[0, 1]$ and continues $\\phi$ as the **tangent line** past each saturation\n", "point — a line phase at the saturated concentration ($c = 1$ with slope $-1$, or $c = 0$ with slope\n", "$0$). Because $c = -\\partial\\phi/\\partial\\Delta\\mu$, the clamped $c$ and the linear $\\phi$ stay\n", "consistent, and the now-bounded $\\phi$ keeps an out-of-range LTE phase from spuriously dominating a\n", "phase diagram." ] }, { "cell_type": "code", "execution_count": 10, "id": "c6996c62", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:40:16.402873Z", "iopub.status.busy": "2026-06-16T12:40:16.402671Z", "iopub.status.idle": "2026-06-16T12:40:16.830114Z", "shell.execute_reply": "2026-06-16T12:40:16.828899Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Reuse the very same ConstantPointDefect objects; only the combiner changes.\n", "ab_lte = PointDefectedPhase(\n", " name='AB (LTE)',\n", " line_phase=host,\n", " sublattices=[\n", " LowTemperatureExpansionSublattice(\n", " name='alpha', sublattice=0, sublattice_fraction=0.5, defects=[B_alpha, V_alpha]),\n", " LowTemperatureExpansionSublattice(\n", " name='beta', sublattice=1, sublattice_fraction=0.5, defects=[A_beta, V_beta]),\n", " ],\n", ")\n", "\n", "dmu = np.linspace(-0.6, 0.6, 600)\n", "temps = [400, 2000] # K: dilute vs non-dilute\n", "\n", "fig, axes = plt.subplots(2, len(temps), figsize=(10, 6), sharex=True)\n", "for j, T in enumerate(temps):\n", " phi_host = host.semigrand_potential(T, dmu)\n", " dphi_exact = ab_defected.semigrand_potential(T, dmu) - phi_host\n", " dphi_lte = ab_lte.semigrand_potential(T, dmu) - phi_host # clamped + tangent-extended\n", "\n", " c_exact = ab_defected.concentration(T, dmu)\n", " c_lte = ab_lte.concentration(T, dmu) # clamped to [0, 1]\n", "\n", " # raw, unstitched LTE (no clamp, no tangent continuation)\n", " c_lte_raw = host.line_concentration + sum(\n", " s.concentration_contribution(T, dmu) for s in ab_lte.sublattices)\n", " dphi_lte_raw = sum(s.semigrand_potential_contribution(T, dmu) for s in ab_lte.sublattices)\n", "\n", " ax_phi, ax_c = axes[0, j], axes[1, j]\n", " ax_phi.plot(dmu, dphi_exact, 'C0', label='exact')\n", " ax_phi.plot(dmu, dphi_lte_raw, 'C3:', lw=1, alpha=0.7, label='LTE (raw)')\n", " ax_phi.plot(dmu, dphi_lte, 'C3--', label='LTE')\n", " ax_phi.set_title(f'T = {T} K')\n", " ax_phi.set_ylim(-0.5, 0.03)\n", "\n", " ax_c.axhline(1, color='0.8', lw=0.8)\n", " ax_c.axhline(0, color='0.8', lw=0.8)\n", " ax_c.plot(dmu, c_exact, 'C0', label='exact')\n", " ax_c.plot(dmu, c_lte_raw, 'C3:', lw=1, alpha=0.7, label='LTE (raw)')\n", " ax_c.plot(dmu, c_lte, 'C3--', label='LTE')\n", " ax_c.set_xlabel(r'$\\Delta\\mu$ (eV)')\n", " ax_c.set_ylim(-0.05, 1.6)\n", " if j == 0:\n", " ax_phi.set_ylabel(r'$\\phi - \\phi_\\mathrm{host}$ (eV/atom)')\n", " ax_phi.legend()\n", " ax_c.set_ylabel('concentration $c$')\n", " ax_c.legend(loc='upper left')\n", "\n", "fig.suptitle('Exact vs low-temperature-expansion point-defect model')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "072640f7", "metadata": {}, "source": [ "At **400 K** the defects are dilute across the whole window and the expansion is\n", "indistinguishable from the exact model. At **2000 K** they are no longer dilute even near\n", "stoichiometry: the raw, unstitched site fractions (dotted) overshoot $c = 1$ and send $\\phi$ off to\n", "$-\\infty$. `PointDefectedPhase` clamps $c$ to $[0, 1]$ and continues $\\phi$ as the tangent line\n", "(dashed), which keeps $c = -\\partial\\phi/\\partial\\Delta\\mu$ consistent and bounds $\\phi$. The\n", "stitched result is still only a stand-in once you leave the dilute regime — trust the expansion\n", "where it tracks the exact curve. Reach for `LowTemperatureExpansionSublattice` when defect\n", "concentrations are small (the regime of most DFT-parametrised dilute-defect models) and\n", "`PointDefectSublattice` otherwise." ] }, { "cell_type": "markdown", "id": "622a40a4", "metadata": {}, "source": [ "### Full T–c phase diagram (low-temperature expansion)\n", "\n", "Swapping the exact compound for its low-temperature expansion, with the same terminal `solid`\n", "and `liquid` phases. Over most of this temperature range the B2 defects stay dilute, so the\n", "diagram closely matches the exact one above; the two would part where the defect populations grow\n", "large (high $T$, far off stoichiometry)." ] }, { "cell_type": "code", "execution_count": 11, "id": "22f432ce", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:40:16.832582Z", "iopub.status.busy": "2026-06-16T12:40:16.832317Z", "iopub.status.idle": "2026-06-16T12:40:31.070004Z", "shell.execute_reply": "2026-06-16T12:40:31.068678Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df_lte = calc_phase_diagram(\n", " [solid, liquid, ab_lte],\n", " Ts=np.linspace(200, 1400, 25),\n", " mu=np.linspace(-0.8, 0.8, 200),\n", ")\n", "plot_phase_diagram(df_lte, tielines=True)" ] }, { "cell_type": "markdown", "id": "0bf4f8ed", "metadata": {}, "source": [ "## Comparing the two models' phase borders\n", "\n", "Both models share the same host, solid and liquid phases, so those boundaries coincide and only the `AB` compound region can differ. Overplotting the stable phase-border points of the two diagrams — dropping the synthetic frame edges via the `locus` column — makes the difference directly visible: at low temperature the defects are dilute and the borders sit on top of each other, while at higher temperature the dilute expansion shifts the compound region's boundaries away from the exact model." ] }, { "cell_type": "code", "execution_count": 12, "id": "724b650c", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:40:31.072147Z", "iopub.status.busy": "2026-06-16T12:40:31.071942Z", "iopub.status.idle": "2026-06-16T12:40:31.211998Z", "shell.execute_reply": "2026-06-16T12:40:31.210517Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(6, 5))\n", "for diagram, color, label, marker in [(df, 'C0', 'exact', 'o'), (df_lte, 'C3', 'LTE', 'x')]:\n", " borders = diagram[(diagram.locus != Locus.INTERIOR) & diagram.stable]\n", " ax.scatter(borders.c, borders['T'], s=16, c=color, marker=marker,\n", " alpha=0.7, linewidths=1, label=label)\n", "ax.set_xlim(0, 1)\n", "ax.set_ylim(200, 1400)\n", "ax.set_xlabel('$c$')\n", "ax.set_ylabel('$T$ [K]')\n", "ax.legend()\n", "ax.set_title('Phase borders: exact vs low-temperature expansion')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "a1b2c3d4-0001-4001-8001-a00000000014", "metadata": {}, "source": [ "## Parametrisation: Endmember Energies vs. Point Defect Energies\n", "\n", "The table below shows how to convert between the two conventions for a B2 phase where the\n", "$\\alpha$-sites host A and the $\\beta$-sites host B:\n", "\n", "| CEF endmember | Composition | `PointDefectedPhase` parameters |\n", "|--------------|------------|--------------------------------|\n", "| A:A (all A) | $c=0$ | $E_\\text{host} + \\eta_\\beta\\, E_{A_\\beta}$ |\n", "| A:B (stoich.) | $c=0.5$ | $E_\\text{host}$ |\n", "| B:B (all B) | $c=1$ | $E_\\text{host} + \\eta_\\alpha\\, E_{B_\\alpha}$ |\n", "\n", "Here $\\eta_\\beta E_{A_\\beta}$ is the excess energy per atom when every $\\beta$-site carries an\n", "A-antisite ($\\eta_\\beta = 0.5$ $\\beta$-sites per atom, each at cost $E_{A_\\beta}$).\n", "\n", "To verify: at $T \\to 0$ with $\\Delta\\mu$ sufficiently negative to fully populate $A_\\beta$\n", "antisites, the semi-grand potential of the defected phase should match the A:A endmember energy." ] }, { "cell_type": "code", "execution_count": 13, "id": "a1b2c3d4-0001-4001-8001-a00000000015", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:40:31.214345Z", "iopub.status.busy": "2026-06-16T12:40:31.214118Z", "iopub.status.idle": "2026-06-16T12:40:31.220882Z", "shell.execute_reply": "2026-06-16T12:40:31.219794Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "c at dmu=-0.35: 0.000000 (expected ~0)\n", "phi(T=10 K, dmu=-0.35) = -0.2509 eV\n", "E_AA endmember (CEF) = -0.2500 eV\n", "Difference (entropy at 10 K) = -0.0009 eV\n" ] } ], "source": [ "T_check = 10 # K — near 0 K, entropy term negligible\n", "dmu_check = -0.35 # eV — negative enough that A_beta antisites are fully populated\n", "\n", "# Semi-grand potential and concentration of defected phase in A-rich limit\n", "phi_A_limit = ab_defected.semigrand_potential(T_check, dmu=dmu_check)\n", "c_A_limit = ab_defected.concentration(T_check, dmu=dmu_check)\n", "\n", "# CEF A:A endmember energy from the table above (per atom)\n", "E_host = host.line_energy\n", "E_A_beta = A_beta.excess_energy\n", "eta_beta = beta_sublattice.sublattice_fraction\n", "E_AA_endmember = E_host + eta_beta * E_A_beta # = -0.40 + 0.5*0.30 = -0.25 eV\n", "\n", "print(f'c at dmu={dmu_check}: {c_A_limit:.6f} (expected ~0)')\n", "print(f'phi(T={T_check} K, dmu={dmu_check}) = {phi_A_limit:.4f} eV')\n", "print(f'E_AA endmember (CEF) = {E_AA_endmember:.4f} eV')\n", "print(f'Difference (entropy at {T_check} K) = {phi_A_limit - E_AA_endmember:.4f} eV')" ] }, { "cell_type": "markdown", "id": "a1b2c3d4-0001-4001-8001-a00000000016", "metadata": {}, "source": [ "## Further Reading\n", "\n", "- **Dissertation §11.1** (Poul 2024): Full derivation of Eqs. (1)–(4) from the semi-grand canonical partition function.\n", "- **Khatri, Koju & Mishin (2024)** *J. Phase Equilib. Diffus.* 45, 375–393 — law-of-mass-action / Kröger–Vink approach; the semi-grand potential model above is equivalent at the ideal-mixing level.\n", "- **Westwood et al. (2015)** *Comput. Phys. Commun.* 196, 145–151 — `pycpd` Python module implementing the dilute (low-temperature) limit." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.11.15" } }, "nbformat": 4, "nbformat_minor": 5 }