{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "87f17fb5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The bandgap of relaxed In_0.15 Ga_0.85 N is 2.63 eV\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# === Style settings\n",
    "fontsize_labels = 18\n",
    "fontsize_ticks  = 16\n",
    "fontsize_legend = 16\n",
    "linewidth_main  = 2.5\n",
    "\n",
    "# === Bandgap parameters\n",
    "Eg_GaN_relaxed = 3.4\n",
    "Eg_InN_relaxed = 0.7\n",
    "b_bowing = 2.9  # eV\n",
    "\n",
    "# GaN\n",
    "aczD1_GaN = -6.07\n",
    "actD2_GaN = -8.88\n",
    "D3_GaN = 5.38\n",
    "D4_GaN = -2.69\n",
    "C13_GaN = 103\n",
    "C33_GaN = 405\n",
    "\n",
    "# InN \n",
    "aczD1_InN = -3.64\n",
    "actD2_InN = -4.58\n",
    "D3_InN = 2.68\n",
    "D4_InN = -1.78\n",
    "C13_InN = 92\n",
    "C33_InN = 224\n",
    "\n",
    "# === Functions ===\n",
    "def strain_relation(eps_parallel, C13, C33):\n",
    "    return -(2 * C13 / C33) * eps_parallel\n",
    "\n",
    "def bandgap_strained(Eg_relaxed, aczD1, actD2, D3, D4, C13, C33, eps_parallel):\n",
    "    eps_z = strain_relation(eps_parallel, C13, C33)\n",
    "    return Eg_relaxed + aczD1*eps_z + actD2*eps_parallel - (D3*eps_z + D4*eps_parallel)\n",
    "\n",
    "def vegard_law(x, EgA, EgB, b):\n",
    "    return (1-x)*EgA + x*EgB - b*x*(1-x)\n",
    "\n",
    "def interpolate(x, valA, valB):\n",
    "    return (1-x)*valA + x*valB\n",
    "\n",
    "# === Strain range ===\n",
    "eps_range = np.linspace(-0.10, 0.10, 200)\n",
    "\n",
    "# Bandgaps\n",
    "Eg_GaN_strained = bandgap_strained(Eg_GaN_relaxed, aczD1_GaN, actD2_GaN, D3_GaN, D4_GaN, C13_GaN, C33_GaN, eps_range)\n",
    "Eg_InN_strained = bandgap_strained(Eg_InN_relaxed, aczD1_InN, actD2_InN, D3_InN, D4_InN, C13_InN, C33_InN, eps_range)\n",
    "\n",
    "\n",
    "#InGaN\n",
    "x = 0.15\n",
    "Eg_InGaN_relaxed = vegard_law(x, Eg_GaN_relaxed, Eg_InN_relaxed, b_bowing)\n",
    "print(fr\"The bandgap of relaxed In_{x:.2f} Ga_{1-x:.2f} N is {Eg_InGaN_relaxed:.2f} eV\")\n",
    "aczD1_InGaN = interpolate(x, aczD1_GaN, aczD1_InN)\n",
    "actD2_InGaN = interpolate(x, actD2_GaN, actD2_InN)\n",
    "D3_InGaN = interpolate(x, D3_GaN, D3_InN)\n",
    "D4_InGaN = interpolate(x, D4_GaN, D4_InN)\n",
    "C13_InGaN = interpolate(x, C13_GaN, C13_InN)\n",
    "C33_InGaN = interpolate(x, C33_GaN, C33_InN)\n",
    "\n",
    "Eg_InGaN_strained = bandgap_strained(Eg_InGaN_relaxed, aczD1_InGaN, actD2_InGaN, D3_InGaN, D4_InGaN, C13_InGaN, C33_InGaN, eps_range)\n",
    "\n",
    "# === Plot ===\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(eps_range, Eg_GaN_strained, label=\"GaN\", linewidth=linewidth_main)\n",
    "plt.plot(eps_range, Eg_InN_strained, label=\"InN\", linewidth=linewidth_main)\n",
    "plt.plot(eps_range, Eg_InGaN_strained, label=fr\"$\\mathrm{{In}}_{{{x:.2f}}}\\mathrm{{Ga}}_{{{1-x:.2f}}}\\mathrm{{N}}$\", linestyle=\"--\", linewidth=linewidth_main)\n",
    "plt.axhline(\n",
    "    Eg_InGaN_relaxed, \n",
    "    color=\"gray\", linestyle=\":\", linewidth=1.5,\n",
    "    label=fr\"$E_g(\\mathrm{{In}}_{{{x:.2f}}}\\mathrm{{Ga}}_{{{1-x:.2f}}}\\mathrm{{N}})$ relaxed = {Eg_InGaN_relaxed:.2f} eV\"\n",
    ")\n",
    "\n",
    "plt.xlabel(\"In-plane strain ε∥\", fontsize=fontsize_labels)\n",
    "plt.ylabel(\"Bandgap Eg (eV)\", fontsize=fontsize_labels)\n",
    "plt.title(\"Strain dependence of the bandgap\", fontsize=fontsize_labels+2)\n",
    "plt.legend(fontsize=fontsize_legend)\n",
    "plt.xticks(fontsize=fontsize_ticks)\n",
    "plt.yticks(fontsize=fontsize_ticks)\n",
    "plt.grid(True, alpha=0.4)\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "caa464c8",
   "metadata": {},
   "source": [
    "Extra: Vergard's law"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "26eefcdf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Parameters\n",
    "Eg_GaN_relaxed = 3.4  # eV\n",
    "Eg_InN_relaxed = 0.7  # eV\n",
    "b_bowing = 2.9        # eV\n",
    "\n",
    "def vegard_law(x, EgA, EgB, b):\n",
    "    return (1-x)*EgA + x*EgB - b*x*(1-x)\n",
    "\n",
    "# Composition range\n",
    "x_vals = np.linspace(0, 1, 300)\n",
    "Eg_vals = vegard_law(x_vals, Eg_GaN_relaxed, Eg_InN_relaxed, b_bowing)\n",
    "\n",
    "# Plot\n",
    "plt.figure(figsize=(8,5))\n",
    "plt.plot(x_vals, Eg_vals, color=\"navy\", linewidth=2.5, label=\"InₓGa₁₋ₓN\")\n",
    "plt.scatter([0,1], [Eg_GaN_relaxed, Eg_InN_relaxed], color=\"red\", zorder=5,\n",
    "            label=\"Endpoints (GaN, InN)\")\n",
    "\n",
    "plt.xlabel(\"In composition x\", fontsize=14)\n",
    "plt.ylabel(\"Relaxed bandgap $E_g$ (eV)\", fontsize=14)\n",
    "plt.title(\"Relaxed bandgap of InₓGa₁₋ₓN vs composition\", fontsize=16)\n",
    "plt.xticks(fontsize=12)\n",
    "plt.yticks(fontsize=12)\n",
    "plt.grid(True, alpha=0.3)\n",
    "plt.legend(fontsize=12)\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0ca9f733",
   "metadata": {},
   "source": [
    "Extra: slope at zero strain"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "33c0b4a3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Crossover composition x_c ≈ 0.133\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# === Composition range ===\n",
    "x_vals = np.linspace(0, 1, 500)\n",
    "\n",
    "\n",
    "def slope_at_zero(aczD1, actD2, D3, D4, C13, C33):\n",
    "    \"\"\"dEg/dε∥ at ε∥=0\"\"\"\n",
    "    coeff_z = aczD1 - D3\n",
    "    coeff_p = actD2 - D4\n",
    "    factor = -2 * C13 / C33\n",
    "    return coeff_z * factor + coeff_p\n",
    "\n",
    "# Slopes\n",
    "slope_vals = []\n",
    "for x in x_vals:\n",
    "    aczD1 = interpolate(x, aczD1_GaN, aczD1_InN)\n",
    "    actD2 = interpolate(x, actD2_GaN, actD2_InN)\n",
    "    D3     = interpolate(x, D3_GaN, D3_InN)\n",
    "    D4     = interpolate(x, D4_GaN, D4_InN)\n",
    "    C13    = interpolate(x, C13_GaN, C13_InN)\n",
    "    C33    = interpolate(x, C33_GaN, C33_InN)\n",
    "    slope_vals.append(slope_at_zero(aczD1, actD2, D3, D4, C13, C33))\n",
    "\n",
    "slope_vals = np.array(slope_vals)\n",
    "\n",
    "# === Find crossover composition (where slope ~ 0) ===\n",
    "sign_change_idx = np.where(np.sign(slope_vals[:-1]) != np.sign(slope_vals[1:]))[0]\n",
    "if len(sign_change_idx) > 0:\n",
    "    idx = sign_change_idx[0]\n",
    "    x_c = (x_vals[idx] + x_vals[idx+1]) / 2\n",
    "    slope_c = (slope_vals[idx] + slope_vals[idx+1]) / 2\n",
    "    print(f\"Crossover composition x_c ≈ {x_c:.3f}\")\n",
    "else:\n",
    "    x_c = None\n",
    "    print(\"No sign change found in slope.\")\n",
    "\n",
    "# === Plot slope vs composition ===\n",
    "plt.figure(figsize=(7,5))\n",
    "plt.plot(x_vals, slope_vals, linewidth=2.5, color=\"darkred\", label=r\"$dE_g/d\\varepsilon_\\parallel$\")\n",
    "plt.axhline(0, color=\"gray\", linestyle=\"--\", linewidth=1.5)\n",
    "\n",
    "# Mark crossover point if found\n",
    "if x_c is not None:\n",
    "    plt.scatter([x_c], [slope_c], color=\"blue\", zorder=5,\n",
    "                label=fr\"Zero slope at $x \\approx {x_c:.2f}$\")\n",
    "\n",
    "plt.xlabel(\"In composition x\", fontsize=14)\n",
    "plt.ylabel(r\"$\\frac{dE_g}{d\\varepsilon_\\parallel}$ at $\\varepsilon=0$ (eV/strain)\", fontsize=14)\n",
    "plt.title(\"Sensitivity of In$_x$Ga$_{1-x}$N bandgap to strain\", fontsize=15)\n",
    "plt.legend(fontsize=12)\n",
    "plt.grid(True, alpha=0.3)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "st_env",
   "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": "3.10.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
