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    "# Lecture 23.5: Theory of stress and strain — a thin layer on a substrate\n",
    "\n",
    "*From* [Nanoelectronic Modeling — From Atoms to Devices](https://nanohub.org/resources/45001), *Gerhard Klimeck, Purdue University. Lecture page:* [nanoHUB resource 45350](https://nanohub.org/resources/45350) — [video](https://nanohub.org/resources/45367) · [slides](https://nanohub.org/resources/45366)\n",
    "\n",
    "**In this lecture**\n",
    "\n",
    "- The strain of a layer splits into a volume part, $\\mathrm{Tr}\\,\\varepsilon/3$ along every axis, and a shape part proportional to $\\varepsilon_\\perp - \\varepsilon_\\parallel$, which measures how much taller than wide the cell has become.\n",
    "- Biaxial strain in a pseudomorphic (001) layer in three steps: the layer copies the substrate spacing in-plane, its free top surface ($\\sigma_{zz} = 0$) lets it bulge out, $\\varepsilon_\\perp = -2C_{12}/C_{11}\\,\\varepsilon_\\parallel$, and volume and shape follow.\n",
    "- InAs on GaAs: $\\varepsilon_\\parallel = -6.7\\,\\%$, $\\varepsilon_\\perp = +7.3\\,\\%$, $a_\\perp \\approx 6.50$ Å, a volume reduction of 6.1 % and a cell 14 % taller than wide.\n",
    "- The stored elastic energy is very large and ready to move atoms: only about 1.7 monolayers of InAs stay flat on GaAs before quantum dots form; an InGaAs alloy stores less.\n",
    "\n",
    "**In this notebook**\n",
    "\n",
    "You split the biaxial strain of InAs on GaAs into volume and shape with `kp.biaxial_strain`, reproduce the slide's numbers step by step, and compare the continuum result with a finite-element layer (`elasticity.Elasticity`) and with the Keating valence force field, which shows where linear elasticity stops being exact at 7 % strain. You then compute the stored elastic energy per atom and per area as the film grows, for InAs and for In$_{0.2}$Ga$_{0.8}$As."
   ]
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   "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 scipy.optimize import minimize_scalar\n",
    "from opennemo.models import kp\n",
    "from opennemo.models import mechanics as M\n",
    "from opennemo.solvers import elasticity as E\n",
    "from opennemo.solvers.poisson import Grid\n",
    "from opennemo.structures.structure import Structure\n",
    "\n",
    "style.use(notebook=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04a5b089",
   "metadata": {},
   "source": [
    "## 1. Volume and shape\n",
    "\n",
    "A thin layer grown on a thick substrate along [001] is strained *biaxially*: the substrate fixes the two\n",
    "in-plane directions, the top surface is free. Its strain tensor is diagonal, with the in-plane strain\n",
    "$\\varepsilon_\\parallel = \\varepsilon_{xx} = \\varepsilon_{yy}$ and the out-of-plane strain $\\varepsilon_\\perp =\n",
    "\\varepsilon_{zz}$. It can be split into two parts with different physical meaning:\n",
    "\n",
    "$$\n",
    "\\begin{pmatrix}\\varepsilon_\\parallel & 0 & 0\\\\ 0 & \\varepsilon_\\parallel & 0\\\\ 0 & 0 & \\varepsilon_\\perp\\end{pmatrix}\n",
    "= \\frac{\\mathrm{Tr}\\,\\varepsilon}{3}\\begin{pmatrix}1 & 0 & 0\\\\ 0 & 1 & 0\\\\ 0 & 0 & 1\\end{pmatrix}\n",
    "+ \\frac{\\varepsilon_\\perp - \\varepsilon_\\parallel}{3}\\begin{pmatrix}-1 & 0 & 0\\\\ 0 & -1 & 0\\\\ 0 & 0 & 2\\end{pmatrix}.\n",
    "$$\n",
    "\n",
    "The first part is the same stretch along $x$, $y$ and $z$: a pure change of volume. The second has trace\n",
    "$-1 - 1 + 2 = 0$, so it changes no volume; $z$ grows while $x$ and $y$ shrink equally. It is a pure change of\n",
    "shape, proportional to $\\varepsilon_\\perp - \\varepsilon_\\parallel$ alone, and zero for a uniform expansion\n",
    "($\\varepsilon_\\perp = \\varepsilon_\\parallel$). The aspect ratio of the strained cell makes the meaning explicit:\n",
    "\n",
    "$$\n",
    "\\frac{a_\\perp}{a_\\parallel} = \\frac{1 + \\varepsilon_\\perp}{1 + \\varepsilon_\\parallel} \\approx 1 + \\varepsilon_\\perp - \\varepsilon_\\parallel ,\n",
    "$$\n",
    "\n",
    "so $\\varepsilon_\\perp - \\varepsilon_\\parallel$ is how much taller than wide the cell is, relative to a cube.\n",
    "Lecture 23.7 shows why this split matters: the volume part shifts band edges, the shape part splits the\n",
    "heavy and light holes.\n",
    "\n",
    "![Slide 5: a cube split into a volume change and a shape change](attachment:slide_005_crop.png)\n",
    "\n",
    "*Slide 5. Start from a cube (left); the volume part grows it equally in $x$, $y$ and $z$; the shape part\n",
    "makes it taller and narrower at the same volume.*\n",
    "\n",
    "`kp.biaxial_strain(material, a_substrate)` returns the strain tensor of a (001) layer on a substrate of\n",
    "lattice constant $a_s$. For InAs on GaAs (lattice constants and elastic constants from the Vurgaftman set):"
   ],
   "attachments": {
    "slide_005_crop.png": {
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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a6bef704",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:06:35.907138Z",
     "iopub.status.busy": "2026-10-24T22:06:35.906998Z",
     "iopub.status.idle": "2026-10-24T22:06:35.914034Z",
     "shell.execute_reply": "2026-10-24T22:06:35.913564Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "strain tensor of InAs on GaAs (%):\n",
      " [[-6.69  0.    0.  ]\n",
      " [ 0.   -6.69  0.  ]\n",
      " [ 0.    0.    7.27]]\n",
      "volume part: Tr ε / 3 = -2.035 % on each axis;  shape part: (ε⊥ − ε∥)/3 = +4.651 % × diag(−1, −1, 2)\n",
      "volume + shape reproduces ε: True\n",
      "a∥ = 5.6532 Å (= a_GaAs), a⊥ = 6.4985 Å;  aspect ratio a⊥/a∥ = 1.1495,  1 + ε⊥ − ε∥ = 1.1395\n"
     ]
    }
   ],
   "source": [
    "gaas, inas = kp.material(\"GaAs\"), kp.material(\"InAs\")\n",
    "a_g, a_i = gaas.lattice_constant, inas.lattice_constant           # nm\n",
    "eps = kp.biaxial_strain(inas, a_g)                                # 3x3, strain of InAs on GaAs\n",
    "e_par, e_perp = eps[0, 0], eps[2, 2]\n",
    "tr, shape = np.trace(eps), e_perp - e_par\n",
    "volume_part = tr / 3 * np.eye(3)\n",
    "shape_part = shape / 3 * np.diag([-1, -1, 2])\n",
    "print(\"strain tensor of InAs on GaAs (%):\\n\", np.round(100 * eps, 2))\n",
    "print(f\"volume part: Tr ε / 3 = {100 * tr / 3:+.3f} % on each axis;  \"\n",
    "      f\"shape part: (ε⊥ − ε∥)/3 = {100 * shape / 3:+.3f} % × diag(−1, −1, 2)\")\n",
    "print(f\"volume + shape reproduces ε: {np.allclose(volume_part + shape_part, eps)}\")\n",
    "a_perp, a_par = a_i * (1 + e_perp), a_i * (1 + e_par)\n",
    "print(f\"a∥ = {10 * a_par:.4f} Å (= a_GaAs), a⊥ = {10 * a_perp:.4f} Å;  \"\n",
    "      f\"aspect ratio a⊥/a∥ = {a_perp / a_par:.4f}\"\n",
    "      f\",  1 + ε⊥ − ε∥ = {1 + shape:.4f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6abbbb0b",
   "metadata": {},
   "source": [
    "The cell becomes 14.95 % taller than wide by the exact ratio, or 14.0 % by the linear estimate\n",
    "$1 + \\varepsilon_\\perp - \\varepsilon_\\parallel$; the two differ because 7 % is no longer a small strain. The slide's \"6.50/5.653 = 1.14, a 14 % taller cell\" uses the linear estimate.\n",
    "\n",
    "## 2. Biaxial strain in a pseudomorphic (001) layer\n",
    "\n",
    "A layer is *pseudomorphic* when it grows atom on atom on the substrate without defects. Let its own (relaxed)\n",
    "lattice constant be $a_0$ and the substrate's $a_s$; the substrate is so thick that it keeps $a_s$. The\n",
    "derivation takes three steps.\n",
    "\n",
    "1. **In-plane lattice match.** The layer copies the substrate spacing in the plane:\n",
    "   $\\varepsilon_{xx} = \\varepsilon_{yy} \\equiv \\varepsilon_\\parallel = (a_s - a_0)/a_0$. The strain is measured\n",
    "   against the layer's own lattice constant, because that is what decides its forces. For $a_s < a_0$ the\n",
    "   layer is compressed, $\\varepsilon_\\parallel < 0$.\n",
    "2. **Free top surface.** Nothing acts on the top surface, so $\\sigma_{zz} = C_{11}\\varepsilon_{zz} +\n",
    "   C_{12}(\\varepsilon_{xx} + \\varepsilon_{yy}) = 0$ (case (c) of Lecture 23.4), and the layer bulges out:\n",
    "   $$\\varepsilon_\\perp \\equiv \\varepsilon_{zz} = -\\frac{2C_{12}}{C_{11}}\\,\\varepsilon_\\parallel ,\n",
    "   \\qquad a_\\perp = a_0(1 + \\varepsilon_\\perp).$$\n",
    "   There is no shear: $\\varepsilon_{xy} = \\varepsilon_{yz} = \\varepsilon_{xz} = 0$.\n",
    "3. **Volume and shape.**\n",
    "   $$\\mathrm{Tr}\\,\\varepsilon = 2\\varepsilon_\\parallel + \\varepsilon_\\perp = 2\\left(1 - \\frac{C_{12}}{C_{11}}\\right)\\varepsilon_\\parallel ,\n",
    "   \\qquad \\varepsilon_\\perp - \\varepsilon_\\parallel = -\\left(1 + \\frac{2C_{12}}{C_{11}}\\right)\\varepsilon_\\parallel .$$\n",
    "\n",
    "![Slide 7: the biaxial strain of InAs on GaAs, step by step](attachment:slide_007.png)\n",
    "\n",
    "*Slide 7. InAs ($a_0 = 6.058$ Å) on GaAs ($a_s = 5.653$ Å): $\\varepsilon_\\parallel = -6.7\\,\\%$,\n",
    "$\\varepsilon_\\perp = -1.09 \\times (-6.7\\,\\%) = +7.3\\,\\%$, $a_\\perp \\approx 6.50$ Å; the volume shrinks by 6.1 %\n",
    "and the shape changes by 14 %, a very large stored potential energy.*\n",
    "\n",
    "The three steps by hand, against `kp.biaxial_strain`:"
   ],
   "attachments": {
    "slide_007.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "59563a96",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:06:35.915269Z",
     "iopub.status.busy": "2026-10-24T22:06:35.915157Z",
     "iopub.status.idle": "2026-10-24T22:06:35.917627Z",
     "shell.execute_reply": "2026-10-24T22:06:35.917217Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step 1: ε∥ = (a_s − a_0)/a_0 = (5.653 − 6.058)/6.058 = -6.69 %\n",
      "step 2: ε⊥ = −2 C12/C11 ε∥ = -1.087 × (-6.69 %) = +7.27 %,  a⊥ = 6.499 Å\n",
      "step 3: Tr ε = 2(1 − C12/C11) ε∥ = -6.11 %,  ε⊥ − ε∥ = −(1 + 2C12/C11) ε∥ = +13.95 %\n",
      "kp.biaxial_strain: ε∥ = -6.69 %, ε⊥ = +7.27 %\n"
     ]
    }
   ],
   "source": [
    "r12 = inas.c12 / inas.c11\n",
    "step1 = (a_g - a_i) / a_i\n",
    "step2 = -2 * r12 * step1\n",
    "print(f\"step 1: ε∥ = (a_s − a_0)/a_0 = ({10 * a_g:.3f} − {10 * a_i:.3f})/{10 * a_i:.3f} \"\n",
    "      f\"= {100 * step1:+.2f} %\")\n",
    "print(f\"step 2: ε⊥ = −2 C12/C11 ε∥ = {-2 * r12:.3f} × ({100 * step1:.2f} %) = {100 * step2:+.2f} %,  \"\n",
    "      f\"a⊥ = {10 * a_i * (1 + step2):.3f} Å\")\n",
    "print(f\"step 3: Tr ε = 2(1 − C12/C11) ε∥ = {100 * 2 * (1 - r12) * step1:+.2f} %,  \"\n",
    "      f\"ε⊥ − ε∥ = −(1 + 2C12/C11) ε∥ = {100 * -(1 + 2 * r12) * step1:+.2f} %\")\n",
    "print(f\"kp.biaxial_strain: ε∥ = {100 * e_par:+.2f} %, ε⊥ = {100 * e_perp:+.2f} %\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ee7dd4a9",
   "metadata": {},
   "source": [
    "The steps reproduce the slide: a compression of 6.69 % in the plane and an expansion of 7.27 % out of it,\n",
    "$a_\\perp = 6.499$ Å, a volume reduction of 6.11 % and a shape change of 13.95 %. All of these are very large\n",
    "for a crystal; the cell is squeezed hard in the plane and stretched hard vertically.\n",
    "\n",
    "The same layer can be computed without assuming anything about the answer. A finite-element model (as in\n",
    "Lecture 23.3) holds a 1 nm InAs layer on 5 nm of GaAs, gives the layer its natural lattice constant as an\n",
    "eigenstrain, and solves for the displacements; the top surface is free. Its local strain, measured against\n",
    "the InAs lattice, is printed below. An atomistic check uses the Keating valence force field: an 8-atom\n",
    "InAs cell is held at $\\varepsilon_\\parallel$ in the plane, and the out-of-plane strain that minimises its\n",
    "energy is found by a one-dimensional search. The cell is built at the force field's own equilibrium\n",
    "lattice constants (Martin's parameters in `M.KEATING_PARAMETERS`: $a_\\mathrm{GaAs} = 5.653$ Å,\n",
    "$a_\\mathrm{InAs} = 6.058$ Å), so that zero strain means zero force."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "f9ae87f0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:06:35.918909Z",
     "iopub.status.busy": "2026-10-24T22:06:35.918801Z",
     "iopub.status.idle": "2026-10-24T22:06:35.933074Z",
     "shell.execute_reply": "2026-10-24T22:06:35.932650Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "finite elements: ε∥ = -6.69 %, ε⊥ = +7.27 %\n",
      "Keating VFF:     ε∥ = -6.69 %, ε⊥ = +7.17 %\n"
     ]
    }
   ],
   "source": [
    "g = Grid(np.linspace(0, 1, 3), np.linspace(0, 1, 3), np.linspace(0, 6, 61))\n",
    "C_g = E.cubic_stiffness(gaas.c11, gaas.c12, gaas.c44)\n",
    "C_i = E.cubic_stiffness(inas.c11, inas.c12, inas.c44)\n",
    "layer = E.Elasticity(g, C_g).cell_centers[:, 2] > 5.0\n",
    "el = E.Elasticity.from_regions(g, [(None, C_g, 0.0), (layer, C_i, a_i / a_g - 1)],\n",
    "                               periodic=(True, True, False))\n",
    "el.fix(np.isclose(g.nodes[:, 2], 0), (0, 1, 2), 0.0)\n",
    "r_fem = el.solve()\n",
    "loc = r_fem.local_strain_in(\"biot\")[layer].mean(axis=0)          # strain against the layer's own lattice\n",
    "print(f\"finite elements: ε∥ = {100 * loc[0, 0]:+.2f} %, ε⊥ = {100 * loc[2, 2]:+.2f} %\")\n",
    "\n",
    "tbm = nemo.structures.materials.load(\"klimeck2002_sp3d5s\")\n",
    "lat_i = nemo.structures.lattice.from_material(tbm[\"InAs\"])\n",
    "a_k = {name: M.KEATING_PARAMETERS[name][2] for name in (\"GaAs\", \"InAs\")}     # nm, VFF equilibrium\n",
    "scale = a_k[\"InAs\"] / tbm[\"InAs\"].lattice_constant\n",
    "cell_i = Structure(scale * lat_i.conventional_basis, lat_i.conventional_species, scale * lat_i.conventional,\n",
    "                   lat_i.conventional_sublattice)\n",
    "\n",
    "def keating_energy(ep, ez):                                      # eV per 8-atom cell\n",
    "    s = M.strain_structure(cell_i, np.diag([ep, ep, ez]))\n",
    "    return M.Keating(s).energy_and_forces(s.positions)[0]\n",
    "\n",
    "def keating_perp(ep):\n",
    "    return minimize_scalar(lambda ez: keating_energy(ep, ez), bounds=(-0.3, 0.3), method=\"bounded\",\n",
    "                           options={\"xatol\": 1e-9}).x\n",
    "\n",
    "ep_vff = a_k[\"GaAs\"] / a_k[\"InAs\"] - 1\n",
    "print(f\"Keating VFF:     ε∥ = {100 * ep_vff:+.2f} %, ε⊥ = {100 * keating_perp(ep_vff):+.2f} %\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4d97c957",
   "metadata": {},
   "source": [
    "The finite-element layer gives $\\varepsilon_\\parallel = -6.69\\,\\%$ and $\\varepsilon_\\perp = +7.27\\,\\%$, the\n",
    "continuum result, now obtained by solving the equilibrium equations with the free surface rather than by\n",
    "assuming $\\sigma_{zz} = 0$. The force field gives $\\varepsilon_\\perp = +7.17\\,\\%$, somewhat less. (The relaxed\n",
    "four-monolayer film of Lecture 23.1 had 7.21 %.) The difference is not an error of either model: linear\n",
    "elasticity assumes the energy is quadratic in the strain, which a real bond is not at 7 %. Scanning the\n",
    "in-plane strain shows where the two agree:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "736f6545",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:06:35.934358Z",
     "iopub.status.busy": "2026-10-24T22:06:35.934269Z",
     "iopub.status.idle": "2026-10-24T22:06:36.096382Z",
     "shell.execute_reply": "2026-10-24T22:06:36.095753Z"
    }
   },
   "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": [
      "VFF ε⊥/ε∥ at ε∥ = −7 %: -1.068;  at +7 %: -1.243;  small-strain limit -1.148\n"
     ]
    }
   ],
   "source": [
    "ep_scan = np.linspace(-0.07, 0.07, 14)                           # avoids ε∥ = 0\n",
    "ez_vff = np.array([keating_perp(ep) for ep in ep_scan])\n",
    "c_vff = M.elastic_constants(lambda s: M.Keating(s), nemo.structures.structure.bulk(lat_i))\n",
    "slope_vff = -2 * c_vff[\"C12\"] / c_vff[\"C11\"]\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 3.8))\n",
    "ax1.plot(100 * ep_scan, 100 * ez_vff, \"o\", color=style.OPEN_NEMO, label=\"Keating VFF, energy minimum\")\n",
    "ax1.plot(100 * ep_scan, 100 * slope_vff * ep_scan, color=style.OPEN_NEMO, lw=1,\n",
    "         label=f\"linear, VFF constants (−2C12/C11 = {slope_vff:.3f})\")\n",
    "ax1.plot(100 * ep_scan, 100 * -2 * r12 * ep_scan, \"--\", color=style.CONTEXT,\n",
    "         label=f\"linear, measured constants ({-2 * r12:.3f})\")\n",
    "ax1.set_xlabel(\"in-plane strain ε∥ (%)\")\n",
    "ax1.set_ylabel(\"out-of-plane strain ε⊥ (%)\")\n",
    "ax1.set_title(\"InAs under biaxial strain\")\n",
    "ax1.legend(fontsize=8)\n",
    "ax2.plot(100 * ep_scan, ez_vff / ep_scan, \"o-\", color=style.OPEN_NEMO)\n",
    "ax2.axhline(slope_vff, color=style.OPEN_NEMO, lw=1)\n",
    "ax2.axhline(-2 * r12, color=style.CONTEXT, ls=\"--\")\n",
    "ax2.set_xlabel(\"in-plane strain ε∥ (%)\")\n",
    "ax2.set_ylabel(\"ε⊥ / ε∥\")\n",
    "ax2.set_title(\"The ratio is constant only for small strain\")\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "print(f\"VFF ε⊥/ε∥ at ε∥ = −7 %: {ez_vff[0] / ep_scan[0]:.3f};  at +7 %: {ez_vff[-1] / ep_scan[-1]:.3f};  \"\n",
    "      f\"small-strain limit {slope_vff:.3f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1b565670",
   "metadata": {},
   "source": [
    "For small strain the force field follows a straight line with its own ratio $-2C_{12}/C_{11} = -1.15$ (the\n",
    "Keating InAs constants of Lecture 23.1; the measured ratio is −1.09). Under compression the ratio falls to\n",
    "−1.068 at −7 %, under tension it rises to −1.243 at +7 %: compressed bonds stiffen, stretched bonds soften.\n",
    "The continuum numbers of the slide are the linear limit, accurate to a few per cent of $\\varepsilon_\\perp$ for\n",
    "InAs on GaAs; atomistic simulations of InAs dots, which reach these strains, include the anharmonic terms\n",
    "automatically.\n",
    "\n",
    "## 3. Stored energy: why InAs films break up\n",
    "\n",
    "A strained crystal stores elastic energy, the work done to deform it. Per unit volume it is\n",
    "\n",
    "$$\n",
    "w = \\frac12 \\sum_{ij}\\sigma_{ij}\\varepsilon_{ij} = \\frac12\\,\\boldsymbol{\\varepsilon}^\\mathrm{T} C\\,\\boldsymbol{\\varepsilon}\n",
    "\\quad\\text{(Voigt vectors)},\n",
    "$$\n",
    "\n",
    "which for biaxial strain is $w = \\sigma_{xx}\\varepsilon_\\parallel$. Klimeck compares it with a squash ball\n",
    "struck hard against a wall: the energy goes into the ball, which warms up. In the layer it stays stored, and\n",
    "it is available to move atoms as soon as the atoms find a way. Below, $w$ is converted to energy per atom\n",
    "(the volume per atom of the strained layer is $a_\\parallel^2 a_\\perp/8$) and compared with the Keating\n",
    "energy of the strained cell, and then to energy per area of a film of $n$ monolayers (one monolayer of a\n",
    "(001) zincblende film is $a_\\perp/2$ thick)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e8ba1f2a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:06:36.097985Z",
     "iopub.status.busy": "2026-10-24T22:06:36.097875Z",
     "iopub.status.idle": "2026-10-24T22:06:36.108337Z",
     "shell.execute_reply": "2026-10-24T22:06:36.107846Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "InAs on GaAs: w = 2.21 eV/nm³ = 57.5 meV/atom (continuum),  Keating VFF 56.5 meV/atom;  0.719 eV/nm² per monolayer\n",
      "finite elements, 1 nm layer: 2.54 eV per nm² of film\n",
      "In0.2Ga0.8As on GaAs: w = 0.146 eV/nm³ = 3.38 meV/atom, 0.0424 eV/nm² per ML, 17 × less than InAs\n",
      "In0.5Ga0.5As on GaAs: w = 0.770 eV/nm³ = 18.63 meV/atom, 0.2331 eV/nm² per ML, 3 × less than InAs\n"
     ]
    }
   ],
   "source": [
    "eV_per_GPa_nm3 = 1e9 * 1e-27 / 1.602176634e-19                     # 1 GPa = 6.2415 eV/nm^3\n",
    "\n",
    "def stored_energy(m, a_sub):\n",
    "    e = kp.biaxial_strain(m, a_sub)\n",
    "    Cm = E.cubic_stiffness(m.c11, m.c12, m.c44)\n",
    "    v = E.strain_to_voigt(e)\n",
    "    w = 0.5 * v @ Cm @ v * eV_per_GPa_nm3                           # eV/nm^3\n",
    "    a_par, a_perp = m.lattice_constant * (1 + e[0, 0]), m.lattice_constant * (1 + e[2, 2])\n",
    "    return w, w * a_par**2 * a_perp / 8, w * a_perp / 2, a_perp     # per nm^3, per atom, per nm^2 per ML\n",
    "\n",
    "w, w_atom, w_ml, a_perp_i = stored_energy(inas, a_g)\n",
    "e_vff = keating_energy(ep_vff, keating_perp(ep_vff)) / 8\n",
    "print(f\"InAs on GaAs: w = {w:.2f} eV/nm³ = {1000 * w_atom:.1f} meV/atom (continuum),  \"\n",
    "      f\"Keating VFF {1000 * e_vff:.1f} meV/atom;  {w_ml:.3f} eV/nm² per monolayer\")\n",
    "print(f\"finite elements, 1 nm layer: {r_fem.energy:.2f} eV per nm² of film\")\n",
    "indium = {x: stored_energy(kp.material(\"InGaAs\", x=x), a_g) for x in (0.2, 0.5)}\n",
    "for x, (wx, wa, wm, _) in indium.items():\n",
    "    print(f\"In{x}Ga{1 - x:.1f}As on GaAs: w = {wx:.3f} eV/nm³ = {1000 * wa:.2f} meV/atom, \"\n",
    "          f\"{wm:.4f} eV/nm² per ML,\"\n",
    "          f\" {w_ml / wm:.0f} × less than InAs\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9ef32fec",
   "metadata": {},
   "source": [
    "A layer of InAs on GaAs stores 2.21 eV per nm³, 57.5 meV per atom in the continuum model and 56.5 meV per\n",
    "atom with the Keating force field, a few per cent of a bond energy for every atom; every monolayer adds\n",
    "0.719 eV per nm² of film. (The finite-element energy, 2.54 eV per nm² for a 1 nm layer, differs from\n",
    "$w \\times 1$ nm because the solver measures the layer's strain against the GaAs grid, and linear elasticity\n",
    "depends on the reference at 7 % strain.) The stored energy grows in proportion to the film thickness:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "751fb1ef",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:06:36.109617Z",
     "iopub.status.busy": "2026-10-24T22:06:36.109527Z",
     "iopub.status.idle": "2026-10-24T22:06:36.280661Z",
     "shell.execute_reply": "2026-10-24T22:06:36.280117Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 770x418 with 1 Axes>"
      ]
     },
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    }
   ],
   "source": [
    "n_ml = np.linspace(0, 12, 121)\n",
    "fig, ax = plt.subplots(figsize=(7, 3.8))\n",
    "ax.plot(n_ml, w_ml * n_ml, color=style.OPEN_NEMO, label=\"InAs on GaAs\")\n",
    "for (x, (_, _, wm, _)), col in zip(indium.items(), (style.REFERENCE, style.CONTEXT)):\n",
    "    ax.plot(n_ml, wm * n_ml, color=col, ls=\"--\" if x == 0.5 else \"-\",\n",
    "            label=f\"In$_{{{x}}}$Ga$_{{{1 - x:.1f}}}$As on GaAs\")\n",
    "ax.axvline(1.7, color=\"k\", lw=0.8, ls=\":\")\n",
    "ax.text(1.85, 7.5, \"≈1.7 ML: InAs\\nforms dots\", fontsize=8)\n",
    "ax.set_xlabel(\"film thickness (monolayers)\")\n",
    "ax.set_ylabel(\"stored elastic energy (eV/nm²)\")\n",
    "ax.set_title(\"Strain energy of a pseudomorphic film\")\n",
    "ax.set_ylim(0, 9.5)\n",
    "ax.legend(fontsize=8)\n",
    "plt.show()"
   ]
  },
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   "id": "cf4ed2f7",
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   "source": [
    "In reality only about 1.7 monolayers of InAs stay flat on GaAs; a thicker film relieves its energy by\n",
    "clumping into islands, the self-assembled quantum dots of Lecture 23.1. (When and how a film relaxes, by\n",
    "islands or by misfit dislocations, depends on surface energies and growth kinetics that a bulk elastic\n",
    "energy does not contain; the plot only shows the driving force.) The way out is an alloy: In$_x$Ga$_{1-x}$As\n",
    "has a lattice constant between those of GaAs and InAs, so it is strained less, and since the energy goes as\n",
    "the square of the strain (1.41 % instead of 6.69 %, Lecture 23.6), In$_{0.2}$Ga$_{0.8}$As stores 17 times less\n",
    "energy per monolayer than InAs (not 22 times, because the alloy is also stiffer). That is\n",
    "what allows pseudomorphic quantum wells of 10–20 nm, the subject of Lecture 23.6.\n",
    "\n",
    "## Summary\n",
    "\n",
    "- Biaxial strain splits into a volume part ($\\mathrm{Tr}\\,\\varepsilon/3$ on every axis) and a shape part\n",
    "  $\\propto \\varepsilon_\\perp - \\varepsilon_\\parallel$; the cell's aspect ratio is $a_\\perp/a_\\parallel \\approx\n",
    "  1 + \\varepsilon_\\perp - \\varepsilon_\\parallel$.\n",
    "- For a pseudomorphic (001) layer: $\\varepsilon_\\parallel = (a_s - a_0)/a_0$, $\\varepsilon_\\perp =\n",
    "  -2C_{12}/C_{11}\\,\\varepsilon_\\parallel$ from the free surface, no shear.\n",
    "- InAs on GaAs: $\\varepsilon_\\parallel = -6.69\\,\\%$, $\\varepsilon_\\perp = +7.27\\,\\%$, $a_\\perp = 6.499$ Å,\n",
    "  Tr ε = −6.11 %, shape +13.95 % (a 14.95 % taller cell by the exact ratio). A finite-element layer gives the\n",
    "  same numbers; the Keating force field gives $\\varepsilon_\\perp = 7.17\\,\\%$ because bonds are anharmonic at\n",
    "  7 % strain.\n",
    "- The stored energy is 57.5 meV/atom (continuum; 56.5 meV/atom Keating), 0.719 eV/nm² per monolayer; InAs\n",
    "  films break up into dots after about 1.7 monolayers, while In$_{0.2}$Ga$_{0.8}$As stores 17 times less.\n",
    "\n",
    "## Exercises\n",
    "\n",
    "1. Compute the biaxial strain of GaAs grown on an InAs substrate (tensile). How do the volume and shape\n",
    "   parts compare with InAs on GaAs?\n",
    "2. Use `kp.pseudomorphic_strain(inas, a_g, growth=(1, 1, 1))` for a (111) layer. Which components are\n",
    "   nonzero, and how large are the volume and shape changes compared with (001) growth?\n",
    "3. Repeat the Keating scan of Section 2 for GaAs (`tbm[\"GaAs\"]`) and compare its ratio $\\varepsilon_\\perp/\n",
    "   \\varepsilon_\\parallel$ at ±7 % with InAs.\n",
    "4. At which indium content does an In$_x$Ga$_{1-x}$As film store as much energy in 20 nm as InAs does in\n",
    "   1.7 monolayers?\n",
    "\n",
    "## Further reading\n",
    "\n",
    "- [Strain along different directions](../../book/03_strain/03_01_strain_types_and_directions.ipynb) and\n",
    "  [strained Si/Ge heterostructures](../../book/03_strain/03_02_strained_si_ge_heterostructure.ipynb)\n",
    "- [Self-assembled InAs/GaAs quantum dots: strain and confinement](../../book/07_quantum_dots/07_01_dot_levels_and_strain/07_01_04_strained_inas_gaas_dot.ipynb)\n",
    "- [Benchmark: band structure lab with strain](../../book/15_benchmarks/15_05_nanohub_tools/15_05_01_band_structures_and_barriers/15_05_01_01_band_structure_lab_strain.ipynb)\n",
    "- [Benchmark: III–V valence force fields and phonons](../../book/15_benchmarks/15_08_literature/15_08_02_phonons_strain_and_polarization/15_08_02_03_iii_v_evff_phonons.ipynb)\n",
    "- I. Vurgaftman, J. R. Meyer and L. R. Ram-Mohan, J. Appl. Phys. 89, 5815 (2001).\n",
    "- P. N. Keating, Phys. Rev. 145, 637 (1966); R. M. Martin, Phys. Rev. B 1, 4005 (1970)."
   ]
  }
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