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    "# Lecture 23.6: Theory of stress and strain — alloys\n",
    "\n",
    "*From* [Nanoelectronic Modeling — From Atoms to Devices](https://nanohub.org/resources/45001), *Gerhard Klimeck, Purdue University. Lecture page:* [nanoHUB resource 45351](https://nanohub.org/resources/45351) — [video](https://nanohub.org/resources/45371) · [slides](https://nanohub.org/resources/45369)\n",
    "\n",
    "**In this lecture**\n",
    "\n",
    "- A random In$_x$Ga$_{1-x}$As alloy, grown by molecular beam epitaxy (MBE) or MOCVD with the indium fraction set in the growth chamber.\n",
    "- Vegard's law and the virtual crystal approximation: interpolate lattice constant and elastic constants linearly between the binaries, replacing In and Ga by an average 'green' atom.\n",
    "- Is it valid? For the average lattice constant and, roughly, for the elastic constants, yes; locally, no: In–As and Ga–As bonds keep nearly their own lengths (EXAFS), band gaps bow, and at the nanometre scale the disorder of an alloy interface matters.\n",
    "- In$_{0.2}$Ga$_{0.8}$As on GaAs has about a fifth of the strain of InAs: layers of 10–20 nm stay pseudomorphic instead of about 1.7 monolayers, enough for a realistic quantum well.\n",
    "\n",
    "**In this notebook**\n",
    "\n",
    "You interpolate the In$_x$Ga$_{1-x}$As parameters with Vegard's law and compare them with open-nemo's Vurgaftman alloy parameters; relax random InGaAs supercells with the Keating valence force field and find that the average lattice follows Vegard's law while the bonds stay bimodal, as EXAFS measures; compute the bowed band gaps of InGaAs and AlGaAs, including the Γ–X crossover of AlGaAs; and tabulate the biaxial strain and stored energy of In$_x$Ga$_{1-x}$As on GaAs as a function of $x$."
   ]
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  {
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   "execution_count": 1,
   "id": "433b0e49",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:06:37.734771Z",
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     "shell.execute_reply": "2026-10-24T22:06:38.325892Z"
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   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import opennemo as nemo\n",
    "from opennemo.visualization import style\n",
    "from opennemo.models import ema, kp\n",
    "from opennemo.models import mechanics as M\n",
    "from opennemo.structures.structure import Structure\n",
    "\n",
    "style.use(notebook=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04af8130",
   "metadata": {},
   "source": [
    "## 1. Interpolating between the binaries: Vegard's law\n",
    "\n",
    "GaAs and InAs are *binaries*; mixing them on the group-III sites gives the *ternary* alloy\n",
    "In$_x$Ga$_{1-x}$As, where $x$ is the fraction of group-III sites occupied by indium. The alloy is grown by\n",
    "molecular beam epitaxy (MBE) or metal-organic chemical vapour deposition (MOCVD), and the ratio of indium\n",
    "to gallium in the growth chamber sets $x$. The atoms are not ordered: which site gets an In and which a Ga\n",
    "is random. The simplest description ignores that and interpolates linearly between the binaries. For the\n",
    "lattice constant this is *Vegard's law*,\n",
    "\n",
    "$$\n",
    "a_0(x) = x\\,a_\\mathrm{InAs} + (1-x)\\,a_\\mathrm{GaAs},\n",
    "$$\n",
    "\n",
    "and the elastic constants are commonly treated the same way,\n",
    "$C_{ij}(x) = x\\,C_{ij}^\\mathrm{InAs} + (1-x)\\,C_{ij}^\\mathrm{GaAs}$. In effect, the blue In and yellow Ga\n",
    "atoms are replaced by one average \"green\" atom on every group-III site: the *virtual crystal\n",
    "approximation* (VCA). The result is again a perfect crystal, which all the formulas of Lectures 23.2–23.5\n",
    "can handle.\n",
    "\n",
    "![Slide 3: Vegard's law and the virtual crystal](attachment:slide_003_crop.png)\n",
    "\n",
    "*Slide 3. Left: the lattice constant of In$_x$Ga$_{1-x}$As interpolated linearly from GaAs (5.653 Å) to\n",
    "InAs (6.058 Å); 5.734 Å at $x = 0.2$. Right: a random alloy of In (blue) and Ga (yellow) atoms, and its\n",
    "virtual crystal of average green atoms.*"
   ],
   "attachments": {
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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "3fc2081e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:06:38.328289Z",
     "iopub.status.busy": "2026-10-24T22:06:38.328094Z",
     "iopub.status.idle": "2026-10-24T22:06:38.337452Z",
     "shell.execute_reply": "2026-10-24T22:06:38.336868Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "In0.2Ga0.8As      Vegard / VCA      kp.material('InGaAs', x=0.2)\n",
      "a0 (Å)             5.7343             5.7343\n",
      "C11 (GPa)           114.3              114.3\n",
      "C12 (GPa)            54.3               54.3\n",
      "C44 (GPa)            55.9               55.9\n",
      "C12/C11             0.475              0.475\n",
      "band gap (eV)       1.209              1.132\n"
     ]
    }
   ],
   "source": [
    "gaas, inas = kp.material(\"GaAs\"), kp.material(\"InAs\")\n",
    "\n",
    "def vegard(x, field):\n",
    "    return x * getattr(inas, field) + (1 - x) * getattr(gaas, field)\n",
    "\n",
    "x = 0.2\n",
    "alloy = kp.material(\"InGaAs\", x=x)                                 # Vurgaftman's alloy parameters\n",
    "print(f\"In{x}Ga{1 - x}As      Vegard / VCA      kp.material('InGaAs', x=0.2)\")\n",
    "print(f\"a0 (Å)       {10 * vegard(x, 'lattice_constant'):12.4f}   {10 * alloy.lattice_constant:16.4f}\")\n",
    "for f in (\"c11\", \"c12\", \"c44\"):\n",
    "    print(f\"{f.upper()} (GPa)    {vegard(x, f):12.1f}   {getattr(alloy, f):16.1f}\")\n",
    "print(f\"C12/C11      {vegard(x, 'c12') / vegard(x, 'c11'):12.3f}   {alloy.c12 / alloy.c11:16.3f}\")\n",
    "print(f\"band gap (eV){x * inas.band_gap + (1 - x) * gaas.band_gap:12.3f}   {alloy.band_gap:16.3f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c581d881",
   "metadata": {},
   "source": [
    "For the mechanical parameters the Vurgaftman set, which open-nemo uses for alloys, is itself the linear\n",
    "interpolation: $a_0 = 5.734$ Å, $C_{11} = 114.3$ GPa, $C_{12} = 54.3$ GPa, $C_{12}/C_{11} = 0.475$, the slide's\n",
    "numbers. The band gap is a different matter: linear interpolation gives 1.209 eV at 300 K, the measured\n",
    "alloy has 1.132 eV. Section 2 returns to this.\n",
    "\n",
    "## 2. Is this really valid?\n",
    "\n",
    "Klimeck answers in three parts. The *average* lattice constant of InGaAs is close to linear in $x$, and the\n",
    "elastic constants are a reasonable approximation; continuum theory is meant for large objects, and for\n",
    "them Vegard's law works. *Locally*, it does not: In–As bonds want to be long and Ga–As bonds short, and\n",
    "X-ray absorption experiments (EXAFS) measure two separate bond lengths in the alloy, each close to its\n",
    "binary value, with only the average crystal following the line. And the band gaps are strongly\n",
    "non-linear in $x$ (\"bowing\"): they must not be interpolated linearly.\n",
    "\n",
    "![Slide 4: bimodal bonds in InGaAs, disorder in SiGe, and the AlGaAs band gap](attachment:slide_004_crop.png)\n",
    "\n",
    "*Slide 4. Left: measured In–As and Ga–As bond lengths in InGaAs against composition (EXAFS, black) with\n",
    "valence-force-field calculations of Klimeck's group (error bars): the bonds are bimodal. Middle: a 25 %\n",
    "Ge random SiGe alloy, in which atom types and bond lengths fluctuate. Right: the AlGaAs band gap, which a\n",
    "virtual crystal gets wrong, with a kink near 40 % Al.*\n",
    "\n",
    "The bimodal bonds can be reproduced with a valence force field, as on the slide. The cell below builds\n",
    "random In$_x$Ga$_{1-x}$As supercells of 4 × 4 × 4 cubic cells (512 atoms), places In atoms at random on a\n",
    "fraction $x$ of the cation sites, and relaxes all atoms and the supercell size with the Keating force field\n",
    "(Martin's parameters; `relax(cell=True)` lets the periodic cell \"breathe\" as NEMO 3-D does). It then\n",
    "measures the relaxed lattice constant and every cation–anion bond."
   ],
   "attachments": {
    "slide_004_crop.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "548b5063",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:06:38.338823Z",
     "iopub.status.busy": "2026-10-24T22:06:38.338725Z",
     "iopub.status.idle": "2026-10-24T22:06:38.624122Z",
     "shell.execute_reply": "2026-10-24T22:06:38.623433Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  x    a (relaxed)  a (Vegard)    <Ga–As>    <In–As>    VCA bond   (nm)\n",
      " 0.0   0.56530     0.56530      0.24478       –      0.24478\n",
      " 0.2   0.57259     0.57340      0.24559    0.25800   0.24829\n",
      " 0.4   0.58025     0.58150      0.24639    0.25908   0.25180\n",
      " 0.5   0.58434     0.58555      0.24670    0.25977   0.25355\n",
      " 0.6   0.58851     0.58960      0.24703    0.26034   0.25530\n",
      " 0.8   0.59694     0.59770      0.24789    0.26130   0.25881\n",
      " 1.0   0.60580     0.60580         –       0.26232   0.26232\n"
     ]
    }
   ],
   "source": [
    "a_k = {name: M.KEATING_PARAMETERS[name][2] for name in (\"GaAs\", \"InAs\")}   # VFF equilibrium (nm)\n",
    "lat = nemo.structures.lattice.from_material(nemo.structures.materials.load(\"klimeck2002_sp3d5s\")[\"GaAs\"])\n",
    "unit = lat.conventional_basis / lat.conventional[0, 0]                      # basis in units of a\n",
    "species0 = list(lat.conventional_species)\n",
    "N = 4\n",
    "offsets = np.stack(np.meshgrid(*(np.arange(N),) * 3, indexing=\"ij\"), -1).reshape(-1, 3)\n",
    "\n",
    "def random_alloy(x, seed=1):\n",
    "    a_v = x * a_k[\"InAs\"] + (1 - x) * a_k[\"GaAs\"]                             # start from Vegard\n",
    "    pos = ((offsets[:, None, :] + unit[None]) * a_v).reshape(-1, 3)\n",
    "    species = species0 * len(offsets)\n",
    "    cations = [i for i, sp in enumerate(species) if sp == \"Ga\"]\n",
    "    for i in np.random.default_rng(seed).choice(cations, int(round(x * len(cations))), replace=False):\n",
    "        species[i] = \"In\"\n",
    "    r = M.relax(M.Keating(Structure(pos, species, np.eye(3) * N * a_v)), tol=1e-6, cell=True)\n",
    "    box = np.diag(r[\"periods\"])\n",
    "    X, sp = r[\"positions\"], np.array(species)\n",
    "    anions = X[sp == \"As\"]\n",
    "    bonds = {\"Ga\": [], \"In\": []}\n",
    "    for i in np.flatnonzero(sp != \"As\"):\n",
    "        d = anions - X[i]\n",
    "        d -= box * np.round(d / box)                                            # minimum image\n",
    "        bonds[sp[i]] += list(np.sort(np.linalg.norm(d, axis=1))[:4])\n",
    "    return box.mean() / N, a_v, {k: np.array(v) for k, v in bonds.items()}\n",
    "\n",
    "xs = [0.0, 0.2, 0.4, 0.5, 0.6, 0.8, 1.0]\n",
    "results = {x: random_alloy(x) for x in xs}\n",
    "print(\"  x    a (relaxed)  a (Vegard)    <Ga–As>    <In–As>    VCA bond   (nm)\")\n",
    "for x, (a_rel, a_v, b) in results.items():\n",
    "    ga = f\"{b['Ga'].mean():.5f}\" if len(b[\"Ga\"]) else \"   –   \"\n",
    "    inn = f\"{b['In'].mean():.5f}\" if len(b[\"In\"]) else \"   –   \"\n",
    "    print(f\"{x:4.1f}   {a_rel:.5f}     {a_v:.5f}     {ga:>8s}   {inn:>8s}   {np.sqrt(3) / 4 * a_v:.5f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c0aa92c7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:06:38.625606Z",
     "iopub.status.busy": "2026-10-24T22:06:38.625507Z",
     "iopub.status.idle": "2026-10-24T22:06:38.858234Z",
     "shell.execute_reply": "2026-10-24T22:06:38.857753Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x440 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4))\n",
    "xx = np.array(xs)\n",
    "for el, col, lab in ((\"In\", style.OPEN_NEMO, \"In–As\"), (\"Ga\", style.REFERENCE, \"Ga–As\")):\n",
    "    m = [results[x][2][el].mean() if len(results[x][2][el]) else np.nan for x in xs]\n",
    "    s = [results[x][2][el].std() if len(results[x][2][el]) else np.nan for x in xs]\n",
    "    ax1.errorbar(xx, 10 * np.array(m), yerr=10 * np.array(s), fmt=\"o-\", color=col, capsize=3,\n",
    "                 label=f\"{lab} bonds, Keating random alloy\")\n",
    "ax1.plot(xx, 10 * np.sqrt(3) / 4 * (xx * a_k[\"InAs\"] + (1 - xx) * a_k[\"GaAs\"]), \"--\", color=style.CONTEXT,\n",
    "         label=\"virtual crystal (Vegard)\")\n",
    "ax1.set_xlabel(\"In fraction x\")\n",
    "ax1.set_ylabel(\"bond length (Å)\")\n",
    "ax1.set_title(\"Bonds keep their own lengths\")\n",
    "ax1.set_ylim(2.39, 2.64)\n",
    "ax1.legend(fontsize=8, loc=\"lower right\")\n",
    "b = results[0.5][2]\n",
    "bins = np.linspace(2.42, 2.66, 49)\n",
    "ax2.hist(10 * b[\"Ga\"], bins=bins, color=style.REFERENCE, alpha=0.8, label=\"Ga–As\")\n",
    "ax2.hist(10 * b[\"In\"], bins=bins, color=style.OPEN_NEMO, alpha=0.8, label=\"In–As\")\n",
    "ax2.axvline(10 * np.sqrt(3) / 4 * results[0.5][1], color=style.CONTEXT, ls=\"--\", label=\"VCA bond\")\n",
    "ax2.set_xlabel(\"bond length (Å)\")\n",
    "ax2.set_ylabel(\"number of bonds\")\n",
    "ax2.set_title(\"In$_{0.5}$Ga$_{0.5}$As: a bimodal distribution\")\n",
    "ax2.legend(fontsize=8)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "644eacbe",
   "metadata": {},
   "source": [
    "The relaxed supercells follow Vegard's law for the lattice constant to within 0.21 %, lying slightly below\n",
    "the line (0.5726 nm at $x = 0.2$ against 0.5734 nm), but their bonds do not follow the virtual crystal at all. At $x = 0.5$ the virtual\n",
    "crystal would have a single bond length of 2.536 Å; the force field gives Ga–As bonds of 2.467 Å and In–As\n",
    "bonds of 2.598 Å, each much closer to its binary value (2.448 and 2.623 Å) than to the average. This is the\n",
    "bimodal distribution EXAFS measures: Ga–As bonds stretch by only 0.019 Å and In–As bonds compress by\n",
    "0.026 Å, while the bond angles absorb the misfit. The spread within each bond type (the error bars and the\n",
    "histogram) comes from the random neighbourhoods. A virtual crystal is a perfect crystal; a random alloy\n",
    "is not, and in a nanostructure whose wave functions extend over a few nanometres, as in the SiGe example\n",
    "of slide 4, these local fluctuations matter.\n",
    "\n",
    "Band gaps are the second failure of linear interpolation. Vurgaftman's parameters, used by `kp.material`\n",
    "and `ema.iii_v_valley_edges`, include a bowing term, $E_g(x) = x E_g^\\mathrm{B} + (1-x)E_g^\\mathrm{A} -\n",
    "b\\,x(1-x)$. For AlGaAs a second effect appears: AlAs is an indirect semiconductor whose lowest conduction\n",
    "valley is at X, GaAs a direct one at Γ, and the two valleys cross."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "4e7d194a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:06:38.859717Z",
     "iopub.status.busy": "2026-10-24T22:06:38.859636Z",
     "iopub.status.idle": "2026-10-24T22:06:39.323977Z",
     "shell.execute_reply": "2026-10-24T22:06:39.323554Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x418 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "InGaAs bowing at x = 0.5: linear 0.888 eV, bowed 0.769 eV\n",
      "AlGaAs: Γ gap 1.422 → 3.003 eV; the X valley becomes the lowest at x ≈ 0.44\n"
     ]
    }
   ],
   "source": [
    "xg = np.linspace(0, 1, 101)\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 3.8))\n",
    "eg_ingaas = np.array([kp.material(\"InGaAs\", x=v).band_gap for v in xg])\n",
    "ax1.plot(xg, eg_ingaas, color=style.OPEN_NEMO, label=\"Vurgaftman (bowing)\")\n",
    "ax1.plot(xg, xg * inas.band_gap + (1 - xg) * gaas.band_gap, \"--\", color=style.CONTEXT, label=\"linear\")\n",
    "ax1.set_xlabel(\"In fraction x\")\n",
    "ax1.set_ylabel(\"band gap at 300 K (eV)\")\n",
    "ax1.set_title(\"In$_x$Ga$_{1-x}$As\")\n",
    "ax1.legend(fontsize=8)\n",
    "valleys = [ema.iii_v_valley_edges(\"AlGaAs\", v, 300.0) for v in xg]\n",
    "for key, col in ((\"Gamma\", style.OPEN_NEMO), (\"X\", style.REFERENCE), (\"L\", style.CONTEXT)):\n",
    "    ax2.plot(xg, [vd[key][\"gap\"] for vd in valleys], color=col, lw=1.2,\n",
    "             label=f\"{key.replace('Gamma', 'Γ')} valley\")\n",
    "eg_algaas = np.array([min(vd[k][\"gap\"] for k in (\"Gamma\", \"X\", \"L\")) for vd in valleys])\n",
    "ax2.plot(xg, eg_algaas, \"k:\", lw=2.5, label=\"band gap (lowest valley)\")\n",
    "g0, g1 = valleys[0][\"Gamma\"][\"gap\"], valleys[-1][\"Gamma\"][\"gap\"]\n",
    "ax2.set_xlabel(\"Al fraction x\")\n",
    "ax2.set_ylabel(\"gap at 300 K (eV)\")\n",
    "ax2.set_title(\"Al$_x$Ga$_{1-x}$As\")\n",
    "ax2.legend(fontsize=8)\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "cross = xg[np.argmax([vd[\"X\"][\"gap\"] < vd[\"Gamma\"][\"gap\"] for vd in valleys])]\n",
    "print(f\"InGaAs bowing at x = 0.5: linear {0.5 * (inas.band_gap + gaas.band_gap):.3f} eV, \"\n",
    "      f\"bowed {kp.material('InGaAs', x=0.5).band_gap:.3f} eV\")\n",
    "print(f\"AlGaAs: Γ gap {g0:.3f} → {g1:.3f} eV; the X valley becomes the lowest at x ≈ {cross:.2f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2d99a752",
   "metadata": {},
   "source": [
    "The InGaAs gap bows below the straight line, by 0.119 eV at $x = 0.5$ (0.769 eV against 0.888 eV). In AlGaAs\n",
    "the Γ gap rises from 1.422 eV to 3.003 eV, but the X valley rises much less; it takes over as the lowest\n",
    "conduction valley at $x \\approx 0.44$, where the gap has the kink shown on the slide. Beyond it the alloy is\n",
    "an indirect semiconductor. A virtual crystal built from tight-binding parameters by averaging gets these\n",
    "gaps wrong; this course treats random alloys atomistically later.\n",
    "\n",
    "## 3. Biaxial strain: InAs against In$_{0.2}$Ga$_{0.8}$As on GaAs\n",
    "\n",
    "The practical consequence for strain is that $x$ tunes it. With the interpolated parameters, the\n",
    "biaxial-strain formulas of Lecture 23.5 apply unchanged:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "1f837bd7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:06:39.325354Z",
     "iopub.status.busy": "2026-10-24T22:06:39.325152Z",
     "iopub.status.idle": "2026-10-24T22:06:39.328691Z",
     "shell.execute_reply": "2026-10-24T22:06:39.328177Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                    InAs   In0.2Ga0.8As\n",
      "natural a0 of the layer (Å)        6.058          5.734\n",
      "substrate a_s, GaAs (Å)            5.653          5.653\n",
      "C12/C11 of the layer               0.543          0.475\n",
      "ε∥ (%)                            -6.686         -1.413\n",
      "ε⊥ (%)                             7.266          1.343\n",
      "a⊥ (Å)                             6.499          5.811\n",
      "volume: Tr ε (%)                  -6.106         -1.483\n",
      "shape: ε⊥ − ε∥ (%)                13.952          2.755\n",
      "ratio of in-plane strains: 0.211\n"
     ]
    }
   ],
   "source": [
    "def biaxial_table(m):\n",
    "    e = kp.biaxial_strain(m, gaas.lattice_constant)\n",
    "    ep, ez = e[0, 0], e[2, 2]\n",
    "    return [10 * m.lattice_constant, 10 * gaas.lattice_constant, m.c12 / m.c11, 100 * ep, 100 * ez,\n",
    "            10 * m.lattice_constant * (1 + ez), 100 * (2 * ep + ez), 100 * (ez - ep)]\n",
    "\n",
    "rows = [\"natural a0 of the layer (Å)\", \"substrate a_s, GaAs (Å)\", \"C12/C11 of the layer\", \"ε∥ (%)\",\n",
    "        \"ε⊥ (%)\", \"a⊥ (Å)\", \"volume: Tr ε (%)\", \"shape: ε⊥ − ε∥ (%)\"]\n",
    "t_inas, t_alloy = biaxial_table(inas), biaxial_table(alloy)\n",
    "print(f\"{'':30s}{'InAs':>10s}{'In0.2Ga0.8As':>15s}\")\n",
    "for name, v1, v2 in zip(rows, t_inas, t_alloy):\n",
    "    print(f\"{name:30s}{v1:10.3f}{v2:15.3f}\")\n",
    "print(f\"ratio of in-plane strains: {t_alloy[3] / t_inas[3]:.3f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d165b000",
   "metadata": {},
   "source": [
    "These are the slide's numbers: In$_{0.2}$Ga$_{0.8}$As on GaAs has $\\varepsilon_\\parallel = -1.41\\,\\%$,\n",
    "$\\varepsilon_\\perp = +1.34\\,\\%$, $a_\\perp = 5.811$ Å, a volume change of −1.48 % and a shape change of\n",
    "+2.76 %, against −6.69 %, +7.27 %, 6.499 Å, −6.11 % and +13.95 % for InAs. With 20 % indium the strain is\n",
    "0.211 of the InAs strain, about a fifth. Strain is nearly proportional to $x$, since the mismatch is about\n",
    "$x \\times 7\\,\\%$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "48eef036",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:06:39.330222Z",
     "iopub.status.busy": "2026-10-24T22:06:39.330027Z",
     "iopub.status.idle": "2026-10-24T22:06:39.449969Z",
     "shell.execute_reply": "2026-10-24T22:06:39.449452Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 770x418 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xs_s = np.linspace(0, 1, 51)\n",
    "tabs = np.array([biaxial_table(kp.material(\"InGaAs\", x=v)) if 0 < v < 1 else\n",
    "                 biaxial_table(gaas if v == 0 else inas) for v in xs_s])\n",
    "fig, ax = plt.subplots(figsize=(7, 3.8))\n",
    "for idx, lab, col, ls in ((3, \"ε∥\", style.OPEN_NEMO, \"-\"), (4, \"ε⊥\", style.REFERENCE, \"-\"),\n",
    "                          (6, \"Tr ε (volume)\", style.OPEN_NEMO, \"--\"),\n",
    "                          (7, \"ε⊥ − ε∥ (shape)\", style.REFERENCE, \"--\")):\n",
    "    ax.plot(xs_s, tabs[:, idx], color=col, ls=ls, label=lab)\n",
    "ax.axvline(0.2, color=\"k\", lw=0.8, ls=\":\")\n",
    "ax.axhline(0, color=\"k\", lw=0.5)\n",
    "ax.set_xlabel(\"In fraction x of the layer\")\n",
    "ax.set_ylabel(\"strain (%)\")\n",
    "ax.set_title(\"In$_x$Ga$_{1-x}$As on GaAs (001): x tunes the strain\")\n",
    "ax.legend(fontsize=8, ncol=2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d2844332",
   "metadata": {},
   "source": [
    "The reduced strain is what makes InGaAs useful. The stored elastic energy grows as the square of the strain\n",
    "(Lecture 23.5), and much thicker layers stay pseudomorphic before islands or misfit dislocations form:\n",
    "about 10–20 nm for In$_{0.2}$Ga$_{0.8}$As instead of about 1.7 monolayers for InAs. A strained\n",
    "In$_{0.2}$Ga$_{0.8}$As layer between GaAs barriers is therefore a realistic quantum well, the worked example\n",
    "of Lecture 23.7, where the strain finally meets the band edges.\n",
    "\n",
    "## Summary\n",
    "\n",
    "- Vegard's law and the virtual crystal approximation interpolate the lattice constant and elastic constants\n",
    "  linearly: In$_{0.2}$Ga$_{0.8}$As has $a_0 = 5.734$ Å, $C_{11} = 114.3$ GPa, $C_{12} = 54.3$ GPa,\n",
    "  $C_{12}/C_{11} = 0.475$.\n",
    "- On average this works: relaxed random Keating supercells follow Vegard's lattice constant to 0.21 %.\n",
    "- Locally it fails: the bonds are bimodal (Ga–As 2.467 Å, In–As 2.598 Å at $x = 0.5$ against a single VCA\n",
    "  bond of 2.536 Å), as EXAFS measures; and band gaps bow (InGaAs: 0.119 eV at $x = 0.5$; AlGaAs turns\n",
    "  indirect at $x \\approx 0.44$).\n",
    "- The In fraction tunes the strain: In$_{0.2}$Ga$_{0.8}$As on GaAs has $\\varepsilon_\\parallel = -1.41\\,\\%$,\n",
    "  $\\varepsilon_\\perp = +1.34\\,\\%$, about a fifth of InAs, and stays pseudomorphic for 10–20 nm.\n",
    "\n",
    "## Exercises\n",
    "\n",
    "1. Repeat the random-alloy relaxation with three different random seeds at $x = 0.2$. How much do the\n",
    "   lattice constant and the mean bond lengths vary from one alloy to the next? How does that change with a\n",
    "   larger supercell (`N = 6`)?\n",
    "2. Compute the bond-angle distribution around the As atoms in the $x = 0.5$ supercell. How far do the\n",
    "   angles deviate from the ideal 109.47°?\n",
    "3. Use `kp.biaxial_strain` for In$_x$Ga$_{1-x}$As on an InP substrate (`kp.material(\"InP\")`). At which $x$\n",
    "   is the layer lattice-matched, and when is it under tension?\n",
    "4. Plot the AlGaAs valley edges (`\"edge\"` instead of `\"gap\"`) to see which valley the electrons occupy in\n",
    "   a GaAs/AlGaAs heterostructure as the Al fraction grows.\n",
    "\n",
    "## Further reading\n",
    "\n",
    "- [Alloys: virtual crystal against random supercells](../../book/01_bulk_band_structure/01_02_parameters_and_materials/01_02_03_alloys_vca_vs_random_supercell.ipynb)\n",
    "- [Alloy disorder in SiGe nanowires](../../book/11_disorder_and_variability/11_03_alloy_disorder_sige_wires.ipynb)\n",
    "- [Benchmark: alloys in NEMO5](../../book/15_benchmarks/15_01_nemo5/15_01_02_bulk_bands_and_parameter_sets/15_01_02_03_alloys.ipynb)\n",
    "- [Benchmark: Vurgaftman 2001 alloy bowing parameters](../../book/15_benchmarks/15_08_literature/15_08_01_parameter_sets/15_08_01_03_vurgaftman2001_alloy_bowings.ipynb)\n",
    "- L. Vegard, Z. Phys. 5, 17 (1921).\n",
    "- J. C. Mikkelsen and J. B. Boyce, \"Atomic-scale structure of random solid solutions: extended X-ray\n",
    "  absorption fine-structure study of Ga$_{1-x}$In$_x$As\", Phys. Rev. Lett. 49, 1412 (1982).\n",
    "- I. Vurgaftman, J. R. Meyer and L. R. Ram-Mohan, J. Appl. Phys. 89, 5815 (2001).\n",
    "- T. B. Boykin, N. Kharche, G. Klimeck and M. Korkusinski, \"Approximate bandstructures of semiconductor\n",
    "  alloys from tight-binding supercell calculations\", J. Phys.: Condens. Matter 19, 036203 (2007)."
   ]
  }
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