Lugovtsov/solid-dva-vaha/plots.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "34e0daa0-210c-47fc-a373-361c6b45e6a3",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "# %load /home/glebi/git/experiment-automation/processing_tools.py\n",
    "import numpy as np\n",
    "from scipy.optimize import curve_fit\n",
    "import pandas as pd\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "import scienceplots\n",
    "\n",
    "plt.style.use(['science', 'russian-font'])\n",
    "\n",
    "matplotlib.rcParams.update({\n",
    "    'figure.figsize': [6, 3],\n",
    "    'savefig.facecolor': 'white',\n",
    "    'savefig.dpi': 300,\n",
    "    'figure.dpi': 150.0,\n",
    "    'font.size': 12.0,\n",
    "})\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "fb4617fd-a533-4ed7-81be-6cb7adcfa815",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "data_glass = np.loadtxt(\"glass_diode.csv\", delimiter=\"\\t\", skiprows=1)\n",
    "data_glass = np.sort(data_glass, axis=0)\n",
    "\n",
    "data_semi = np.loadtxt(\"semi_diode.csv\", delimiter=\"\\t\", skiprows=1)\n",
    "data_semi = np.sort(data_semi, axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "23b64abd-1939-4fb0-9f47-56edf24941d4",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 900x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "U = data_glass[9:-4].T[0]*1e-3\n",
    "I = data_glass[9:-4].T[1]*1e-6\n",
    "\n",
    "I_eq = lambda U, a, b, c: a * (np.exp(b * (U - c)) - 1)\n",
    "popt, pcov = curve_fit(I_eq, U, I, p0=[.003, .1, .1])\n",
    "\n",
    "plt.plot(U*1e3, I*1e6, \"--.\", label=\"Экспериментальные данные\")\n",
    "plt.plot(U*1e3, I_eq(U, *popt)*1e6, lw=.8, label=r\"Аппроксимация $I = I_s [e^{\\alpha(U-\\beta)} - 1]$\")\n",
    "plt.text(40, 360, r\"$\\phi_T \\simeq \\alpha^{-1} = \\frac{kT}{e}\" + fr\" = {1/popt[1]*1e3:.0f}$ мВ\")\n",
    "# plt.text(40, 300, fr\"$I_s = {popt[0]*1e6:.1f}$ мкА\")\n",
    "# plt.yscale(\"log\")\n",
    "plt.xlabel(\"Напряжение, мВ\")\n",
    "plt.ylabel(\"Сила тока, мкА\")\n",
    "# plt.title(\"Экспоненциальный участок ВАХ стеклянного диода\")\n",
    "plt.legend()\n",
    "\n",
    "plt.savefig(\"glass-exp.png\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6391e854-4f40-4cc6-8e01-25e1bceadd7c",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAx4AAAGlCAYAAAB0qCChAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAABcSAAAXEgFnn9JSAABtKElEQVR4nO3de3xT9f0/8FeSJlwCNG1B7ggpeJ0X0uKcc6g0RZ06nSTtd3PupiToxvb9bjOxbkz8dhum0+9vGzpNYW6TbV+hhYkO/UoCKnNz0iYw7056wIKIStu0UC5Nk/P7ozuxae5p0pOkr+fjkYck551z3klO43nnc1OIoiiCiIiIiIgoi5RyJ0BERERERIWPhQcREREREWUdCw8iIiIiIso6Fh5ERERERJR1LDyIiIiIiCjriuROYDQKBoM4deoUioqKoFAo5E6HiIiIiGjYRFFEf38/xo4dC6Uysn2DhYcMTp06Ba1WK3caREREREQZ19vbi/Hjx0c8zsJDBkVFA297b28v1Gp1wni/3w+tVpt0fKbIcVy+1sI87mg5plzH5WstzOOOlmPKdVy+1sI87mg5plzHTXRMabt0rTsUCw8ZSN2r1Gp1SidKqvGZIsdx+VoL87ij5ZhyHZevtTCPO1qOKddx+VoL87ij5ZhyHTfRMWMNJeDgcopJqVTi3nvvjdpHr5COKddx5XqtchhN7+9oeq1y4OdaeMeUC8+lwj3uSBtN7+9wj6kQRVHMcE6UgN/vh0ajQV9fX9JdrVKJJ4qH5xNlCs8lyhSeS5QpPJfklej9L+wSlIiIiIiIcgILjzwwWpoqaWTwfKJM4blEmcJziTKF51JuY1crGbAZkIiIiIgKTaJrXM5qJSO/3w9goDpXqVQyZ0NERERElLpAIIBgMBi6to2F7VAy0mq10Gg0qK+vlzsVIiIiIqK01NfXQ6PRJFwgm12tZCA1Q0mLr7DFg4iIiIjy1eAWD61Wy65WuUiuhWaIiIiIiDJFpVIl9SM6Cw8iIiIiogKw70gPHn9RQPvR45gzeQK+eoUe86dNkjutEHa1kgFntSIiIiKiTNqwqw0rH9uNQPCTS3uVUoG137wEty4uH5EcuIAgEREREVEB23ekJ6LoAIBAUMTKx3Zj35EemTILx8KDiIiIiCiPPf6iECo6gmNPhG0LBEVs2CXIkVYEFh5ERERERHms/ehxAEBw3Amc+GIzTl/sGbK9V460IrDwICIiIiLKY3MmTwAA+Be8A6iCUHVMHrI9/voaI4WFBxERERFRHvvqFXooVAH0L3gHiuNaqA7NDm1TKRW4dbFexuw+wcKDiIiIiCiPlU+diInnfQBx3Cmo/3UOFOLAJb5KqcBDt306Z6bU5ToeRERERER5zCN04MiMvUC/CpbZ1+L4JBXmTNbi1sW5tY4HCw8iIiIiojy25qUXEZx+FGcdW4i1tyyWO52Y2NWKiIiIiChPdfX2YdvpHQCAH55tkjmb+NjiQaOC3W5HbW0tDAYDfD4f1qxZA0EQ4PP50NnZCQAwGo2wWq3Q63NjABYRERFRIuv+9ipOzxYwsXsGbq2ulDuduFh40KggCALMZjOsVis6OjpQV1cHnU4X2u7z+WC321FeXg6HwwGbzSZfskRERERJEEURvxSeAvRBfEl3DRQKhdwpxcWuVjRqCIIAvV4Ph8MRVnQAgE6ng9PpRFNTE+x2OyoqKuRJkoiIiChJJ/x9OD7vLahPT8DPLrtR7nQSYuFBo4bFYoHJFL/vo8lkgsPhgNfrRXV19QhlRkRERJS6bZ3/QI+iG/eeb0KZdpzc6STEwoNGDbvdnlSczWaDXq+H2+1Gc3NzlrMiIiIiSs/a9q3QKNRYPvNauVNJCgsPStq+Iz348ca9+PrDL+HHG/di35EeuVNK2rp161IaNG61WgEAa9asyVZKRERERGl74G9/xUu+12GeuhhnjCmRO52ksPCQkd/vh9/vRyAQkDuVhDbsakPl3dvw/7a9ic2vtOP/bXsTlXdvw4ZdbXKnlpShYzoSMRgMAACv1wufzwdgYIyI1WpFSUkJFAoFKioqwlpR3G43FApFaNvQ1hKv1wur1Qq73Q6r1Qqr1Qq32x3aHm3/DQ0NoZvdbg/tv7q6Gg0NDRF5Nzc3RxxDyl/KoaKiAuXl5VAoFBAEAc3NzaH9m83miJahoXmVl5eHYtxuN6xWa9S8Bg/YVygUcVucBr93VqsVXq83pdeVbo6CIIR9loPfY+l41dXVUCgUoc+zoaEhtM1sNkf9HAaTxgyVl5cn/CzjvY5ohvO6kz1OvP2k8hklS3q/SkpKYLfbkz73k/lcsvF+5ev7TET5LRgU8dN3Bv6/dHbXJTJnAwQCgdB1bVwijbi+vj4RQOh27733Zmzfx0/5Y95Onu5POvbEaX8o7t0PusXir/1JnHDrHyNuxV/7k/h6e2fYfnvj7Lf3lD+p2GzxeDyi0WgUdTqdCEA0GAyizWaLGid9Pm1tbWHbHA5H1Mfb2tpEnU4nulyuiP05nU5Rp9OJHo8n7HGbzSY2NTVF3f/QWFEURaPRKMb6s7VYLKLBYIh63K6urrDHTSaTCEA0mUwRxzEajaLBYIh4Try8DAZDzLycTmfcvAfnabFYhvW6Un3vPB6PaDKZIl6LTqcLe8xms4lOp1M0mUwRn7vRaBSNRmPM1yaKA+eGw+FImE8yryPV+EwdRzpnoknlM0pGqu9Xqp9LNt6vfHyfiSh/bd7zjoht14jqP90ScW0lh3vvvTfs2ravry9qHKfTlVFvby/UajWUysw1PE1bvinmtqUXzcDm718Zuq//1mac6Ive2nL5OWfg2XuMAIDHXxQQCIpR4wJBETc2PI99a28OPbaobhvaj/ZGjT9nZjFa1lwXun/F6ufw9vvdEXHHHv9yzNcxHG63G3a7HZWVlWhsbITdbofX60VjYyMcDgcqKyvhdrvjdrGSWk9KS0tDjwmCALvdjv3790e0rki/ejqdzlBLCjDQItDQ0ACDwRA26F16frRWmlgtN83NzWhsbERbW3gLlMVigcPhgN1uh9PpDD1eXV2N5ubm0NomgzU1NaGkpARmsxkulythXm63G4IgRM0LGHifpNadxsZGWCyWsO0+ny/UDW7ovlN9Xam+d52dnaFudYPzHfp6rFYrfv/734daPZqamkLbHA5HqIUr3uQF0WZSSxSbbEtdOudMOseJJtXPKFnJvl8+ny/lzyUb71e+vs9ElJ/++/UtwBkBLC26EuPHyH85v2rVKvzwhz+E3++HVquNGceuVjJSq9VQq9VQqVRypxJX+9Hjcbf39QdHKJPhs9lsMBqN0Ol0sNlsaGtrg8lkgs/ng9VqxfLly9HR0YF169aFnjO4wIjG7XaHpuKNdmEhXdjW1NSEPa7T6WAymSIufNOxfPly6PX6qONYjEYjNm2KXpAOLToG5+V2uyO6PA3l8/ngcrlgNBrjxkn7dDgcEds2bdoU8/npvq5kDS564tHr9Th16hQMBkNEvPQetrS0xN1HovMoX2XjM/L5fEm/XzqdblifS77I9t8CEeWP9zqO4VXtK1CcHIefXXqT3OkAAFQqVei6Nh75SyTKqCPramJuUw1ZVEZ4eFnMWOWg0DmTJ8Q95q2Lw/9H2LLmOkRvHwGGLmvz4uqrY8aOBL1eH/YrqaSxsTG0PdavlJ2dnaFWk3i/NLrd7pj7iXbsVPl8vtAF9OAxI4PzjNUHPNbjUouI2+2OWpxIpNduNpsT5llXV4eKigp4vd64+xycW7qvS3rPB4vWKpNoeuXBhhZNXq8XgiCE9huvn326ffCHvo7Kysq4v5on+7qHexzJcD6jeDo7O1NqHfB4PKF/p/K5ZOr9Svd5cr/PRJSffvi3pyFqe1H+/mW4cPZkudNJCVs8Cox2TFHM21iNKunYcZpPatKvXqGHShl9JUyVUoFvXDU/7LHxcfY7tDkwVmymJXNRMJjUxSjehandbg91k7JarVGPIV0MDKeLRSLScUtLS0O/iA6+ORyOiO4ZiUgXR/GeJw36TZb0q/TgbmxutzuiJUgynNdVWloa9TZcPp8PZrMZ5eXlaG1thcF
      "text/plain": [
       "<Figure size 900x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "U = data_glass[6:].T[0]*1e-3\n",
    "I = data_glass[6:].T[1]*1e-6\n",
    "\n",
    "line = lambda x, k, b: k * x + b\n",
    "popt, pcov = curve_fit(line, U[-3:], I[-3:])\n",
    "\n",
    "plt.axhline(0, color='black', linewidth=.5)\n",
    "plt.plot(U*1e3, I*1e6, \"--.\", label=\"Экспериментальные данные\")\n",
    "plt.plot(U[18:]*1e3, line(U, *popt)[18:]*1e6, lw=.8)\n",
    "plt.text(330, -250, fr\"$\\phi_K = {-popt[1]/popt[0]*1e3:.0f}$ мВ\")\n",
    "plt.xlabel(\"Напряжение, мВ\")\n",
    "plt.ylabel(\"Сила тока, мкА\")\n",
    "# plt.title(\"ВАХ стеклянного диода\")\n",
    "plt.legend()\n",
    "\n",
    "plt.savefig(\"glass-vah.png\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "492671c1-3783-4fb4-be74-4e0e1f59ef45",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 900x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "U = data_glass[:9].T[0]*1e-3\n",
    "I = data_glass[:9].T[1]*1e-6\n",
    "\n",
    "plt.plot(U*1e3, I*1e6, \"--.\", label=\"Экспериментальные данные\")\n",
    "plt.text(-5800, -1.3, r\"Видно, что $|I_\\text{обр}| \\sim \\sqrt{\\phi_K - U}$\")\n",
    "plt.xlabel(\"Напряжение, мВ\")\n",
    "plt.ylabel(\"Сила тока, мкА\")\n",
    "# plt.title(\"ВАХ стеклянного диода (обратный ход)\")\n",
    "plt.legend()\n",
    "\n",
    "plt.savefig(\"glass-back.png\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "ea41a79c-bbb1-4e73-ba01-3fdc3cd4fabc",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 900x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "U = data_glass[10:15].T[0]*1e-3\n",
    "I = data_glass[10:15].T[1]*1e-6\n",
    "\n",
    "R = np.diff(U) / np.diff(I)\n",
    "revI = 1/I[:-1]\n",
    "\n",
    "line = lambda x, k, b: k * x + b\n",
    "popt, pcov = curve_fit(line, revI, R)\n",
    "\n",
    "plt.plot(revI, R*1e-3, \"--.\", label=\"Экспериментальные данные\")\n",
    "plt.plot(revI, line(revI, *popt)*1e-3)\n",
    "plt.text(3.5e4, 3.5, r\"$r_\\text{Б} = \" + fr\"{popt[1]:.0f} \" + r\"\\text{ }\\Omega$\")\n",
    "plt.xlabel(r\"$1/I$, усл. ед. 1/А\")\n",
    "plt.ylabel(r\"Сопротивление, $\\text{к}\\Omega$\")\n",
    "# plt.title(r\"Зависимость $R = dU/dI$ от $1/I$ стеклянного диода\")\n",
    "plt.legend()\n",
    "\n",
    "plt.savefig(\"glass-R.png\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "98c9fc8d-4d88-4616-ba64-a052183a3820",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.061, 0.082, 0.105, 0.117, 0.136])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "U"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "1979b1b8-9744-418f-b6e6-e7dcad82a584",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 900x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "U = data_semi[12:-8].T[0]*1e-3\n",
    "I = data_semi[12:-8].T[1]*1e-6\n",
    "\n",
    "I_eq = lambda U, a, b, c: a * (np.exp(b * (U - c)) - 1)\n",
    "popt, pcov = curve_fit(I_eq, U, I, p0=[1e-6, 20, .1])\n",
    "\n",
    "plt.plot(U*1e3, I*1e6, \"--.\", label=\"Экспериментальные данные\")\n",
    "plt.plot(U*1e3, I_eq(U, *popt)*1e6, lw=.8, label=r\"Аппроксимация $I = I_s [e^{\\alpha(U-\\beta)} - 1]$\")\n",
    "plt.text(150, 180, r\"$\\phi_T \\simeq \\alpha^{-1} = \\frac{kT}{e}\" + fr\" = {1/popt[1]*1e3:.0f}$ мВ\")\n",
    "# plt.text(40, 300, fr\"$I_s = {popt[0]*1e6:.1f}$ мкА\")\n",
    "# plt.yscale(\"log\")\n",
    "plt.xlabel(\"Напряжение, мВ\")\n",
    "plt.ylabel(\"Сила тока, мкА\")\n",
    "# plt.title(\"Экспоненциальный участок ВАХ полупроводникового диода\")\n",
    "plt.legend()\n",
    "\n",
    "plt.savefig(\"semi-exp.png\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "05da42ad-1b57-445f-8435-e9ede4520057",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAx4AAAGlCAYAAAB0qCChAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAABcSAAAXEgFnn9JSAABwNklEQVR4nO3de3wb5Z0v/o8kS7koiceXQEJCSOSEAqWQyA7QloZCJKCEXpZIdndbesUW7Gn31+0WCbdLW9Z7TpDbbttte4oUytlCd7exTLq3hBIpUOg1sSXCpVzjSQgJCcSXiRMnsWVpfn84o0jWxZIseST58369/Eo88+jRd+Zx4vnquWlkWZZBRERERERURFq1AyAiIiIiosrHxIOIiIiIiIqOiQcRERERERUdEw8iIiIiIio6Jh5ERERERFR0VWoHMBtFo1GcPXsWVVVV0Gg0aodDRERERDRtsixjfHwcc+fOhVab3L/BxEMFZ8+ehdFoVDsMIiIiIqKCGxkZwfz585OOM/FQQVXVxG0fGRmBXq9HOByG0WiMfV9o5Vx/Ocde7PoZe2XWz9grs/5yjr3Y9TP2yqyfsVdm/VPVrZxXnnUnY+KhAmV4lV6vT2i0yd8XWjnXX86xF7t+xl6Z9TP2yqy/nGMvdv2MvTLrZ+yVWf9UdaebSsDJ5SVAq9XiW9/6VsqxcOVQfzGV+70pZv1s18qsn+1amfWXc7sC5X1vyjn2Yivne1POsRdbKd8bjSzLcoFjoimEw2EYDAaMjY0VNdOdKZV2PTSB7VqZ2K6Vie1amdiulamS23Wqa+NQKxWFw2EAE9mjTqdTORoiIiIiotxFIhFEo9HYs2065dmHVCGMRiMMBgM6OjrUDmVayr1LklJju1YmtmtlYrtWJrZrZarEdu3o6IDBYJhy1VYOtVKB0g2lrAjAHg8iIiIiKlfxPR5Go5FDrUpRsVczICIiIiIqNp1Ol9WH6JXTx0NERERERCWLiQcRERERERUdEw8iIiIiIio6zvEgIiIiIqoA+48N49FnRBzqP4UV9QvwmRtMWL1kkdphxXBVKxVU8sYxRERERDTzHnu2D19+ZC8i0fOP9jqtBj/6wjW4c0PDjMQw1TMuh1oREREREZWx/ceGk5IOAIhEZXz5kb3Yf2xYpcgSMfEgIiIiIipjjz4jJiUdikhUxmPPijMcUWpMPIiIiIiIytih/lNTnB+ZoUgyY+JBRERERFTGVtQvmOK8cYYiyYyJBxERERFRGfvMDSbotJqU53RaDe7cYJrhiFJj4kFEREREVMZWL1mEH33+mqTkQ6fV4MdfvLZkltTlcroq4HK6RERERFRo+48N47FnRRzqH8GKeiPu3DCz+3hM9YzLDQSJiIiIiCpAw4ULsfr6fjhq1+GiuXVqh5OEQ62IiIiIiMrc1x7txX07n8JnXuqE++A2tcNJiT0eNCu4XC60tLTAbDZDkiRs2bIFoihCkiQMDg4CACwWCxwOB0ym0piARURERJSNwVOj8ARex9gVLwJmYFP9NWqHlBITD5oVRFGE3W6Hw+HAwMAA2tvbIQhC7LwkSXC5XGhoaIDb7YbT6VQvWCIiIqIc9PT1AwD0q46hSjsHG2quUjmi1DjUimYNURRhMpngdrsTkg4AEAQBHo8HPp8PLpcLjY2N6gRJRERElKM/vd4PWT+K08JRbKxbh7k6g9ohpcTEg2aNtrY22Gy2jGVsNhvcbjdCoRCsVusMRUZERESUvz37jyOy9ChkTbRkh1kBTDxoFnG5XFmVczqdMJlMCAQC6O7uLnJURERERPkLj0fR2zeA8WWHAQAfYeJBqYTDYYTDYUQiEbVDycr+Y8P45rZ9+NxPfodvbtuH/ceG1Q4pa1u3bs1p0rjD4QAAbNmypVghEREREU3bi4eGcHpsHNFlR/C+BauwYt4FMx5DJBKJPddmwsRDRUajEQaDAR0dHWqHMqXHnu1D03078P0dL+PxPYfw/R0vo+m+HXjs2T61Q8vK5DkdUzGbzQCAUCgESZIATMwRcTgcqKmpgUajQWNjY0IvSiAQgEajiZ2b3FsSCoXgcDjgcrngcDjgcDgQCARi51PV39nZGftyuVyx+q1WKzo7O5Pi7u7uTnoPJX4lhsbGRjQ0NECj0UAURXR3d8fqt9vtST1Dk+NqaGiIlQkEAnA4HCnjip+wr9FoMvY4xd87h8OBUCiU03XlG6MoigltGX+PlfezWq3QaDSx9uzs7Iyds9vtKdshnjJnqKGhYcq2zHQdqUznurN9n0z15NJG2VLuV01NDVwuV9Y/+9m0SzHuV7neZyKqHAfePQXd4iFE557BbSr1dnR0dMBgMMBoNGYuKNOMGxsbkwHIIyMj8tjYmDw+Pl6wuk+dDaf9OjM6nnXZ06PhWLk3jp6Qqz/7b/KCO/816av6s/8mv3RoMKHekQz1jpwNZ1W2WILBoGyxWGRBEGQAstlslp1OZ8pyAGQAcl9fX8I5t9ud8nhfX58sCILs9/uT6vN4PLIgCHIwGEw47nQ6ZZ/Pl7L+yWVlWZYtFouc7p9tW1ubbDabU77v0NBQwnGbzSYDkG02W9L7WCwW2Ww2J70mU1xmszltXB6PJ2Pc8XG2tbVN67pyvXfBYFC22WxJ1yIIQsIxp9Mpezwe2WazJbW7xWKRLRZL2muT5YmfDbfbPWU82VxHruUL9T7Kz0wqubRRNnK9X7m2SzHuVzneZyKqHH//2s9lPGmVnx18QZX3Hx8fl8fGxuSRkREZgDw2NpayHJfTVZFer0+5nfx0LGntSnvu5qsvwuN/9+HY96b/9ThOj6Ue5nX9ZRfgia9bAACPPiMiEpVTlotEZXy882ns/9EdsWPr23fgUP9IyvKXLatGz5ZNse9v+PaTePXIiaRyJx/9q7TXMR2BQAAulwtNTU3wer1wuVwIhULwer1wu91oampCIBDIOMRK6T2pra2NHRNFES6XCwcOHEjqXVE+9fR4PLGeFGCiR6CzsxNmszlh0rvy+lS9NOl6brq7u+H1etHXl9gD1dbWBrfbDZfLBY/HEztutVrR3d0d29skns/nQ01NDex2O/x+/5RxBQIBiKKYMi5g4j4pvTterxdtbW0J5yVJig2Dm1x3rteV670bHByMDauLj3fy9TgcDvz85z+P9Xr4fL7YObfbHevhyrR4QaqV1KYqm21PXT4/M/m8Tyq5tlG2sr1fkiTl3C7FuF/lep+JqDLsGuxBdZUR76++QpX31+l00Ol0U5bjUCua0qH+UxnPj41HZyiS6XM6nbBYLBAEAU6nE319fbDZbJAkCQ6HA62trRgYGMDWrVtjr4lPMFIJBAKxpXhTPVgoD7bNzc0JxwVBgM1mS3rwzUdraytMJlPKeSwWiwVdXakT0slJR3xcgUAgacjTZJIkwe/3w2KxZCyn1Ol2u5POdXV1pX19vteVrfikJxOTyYSzZ8/CbDYnlVfuYU9PT8Y6pvo5KlfFaCNJkrK+X4IgTKtdykWx/y0QUfl6d3QIPcOv45a6JlRpp374VxN7PCrMsa3Nac/pNJqE78WfbE5bVhtXdEX9gozveeeGxF+EPVs2IXX/CKCZ9P0z374lbdmZYDKZEj4lVXi93tj5dJ9SDg4OxnpNMn3SGAgE0taT6r1zJUlS7AE6fs5IfJzpxoCnO670iAQCgZTJiUK5drvdPmWc7e3taGxsRCgUylhnfGz5Xpdyz+Ol6pWZannleJOTplAoBFEUY/VmGmef7xj8ydfR1NSU8VPzbK97uu+jmE4bZTI4OJhT70AwGIz9PZd2KdT9yvd1at9nIip/2/e8CeceH+TLZGxaXLqrWSnY41FhjHOq0n7NNeiyLjvPcD4n/cwNJui0k1OGCTqtBp+/cXXCsfkZ6p0/pyqrsoWWzUNBPGWIUaYHU5fLFRsm5XA4Ur6H8jAwnSEWU1Het7a2NvaJaPyX2+1OGp4xFeXhKNPrlEm/2VI+lY4fxhYIBJJ6ghTTua7a2tqUX9MlSRLsdjsaGhrQ29sLs9mc1S73yuaVuYqPXRRFrFq1Cna7Pe1DZr7Xnev7xF+X8vpC/ewB2fdExZfPp10Kcb/
      "text/plain": [
       "<Figure size 900x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "U = data_semi[11:].T[0]*1e-3\n",
    "I = data_semi[11:].T[1]*1e-6\n",
    "\n",
    "line = lambda x, k, b: k * x + b\n",
    "popt, pcov = curve_fit(line, U[-4:], I[-4:])\n",
    "\n",
    "plt.axhline(0, color='black', linewidth=.5)\n",
    "plt.plot(U*1e3, I*1e6, \"--.\", label=\"Экспериментальные данные\")\n",
    "plt.plot(U[-10:]*1e3, line(U, *popt)[-10:]*1e6, lw=.8)\n",
    "plt.text(400, 220, fr\"$\\phi_K = {-popt[1]/popt[0]*1e3:.0f}$ мВ\")\n",
    "plt.xlabel(\"Напряжение, мВ\")\n",
    "plt.ylabel(\"Сила тока, мкА\")\n",
    "# plt.title(\"ВАХ полупроводникового диода\")\n",
    "plt.legend()\n",
    "\n",
    "plt.savefig(\"semi-vah.png\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "5ff3346c-4be4-4790-92ad-34b14cf676eb",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 900x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "U = data_semi[:11].T[0]*1e-3\n",
    "I = data_semi[:11].T[1]*1e-6\n",
    "\n",
    "plt.plot(U*1e3, I*1e6, \"--.\", label=\"Экспериментальные данные\")\n",
    "plt.text(-6000, -.5, r\"Видно, что $|I_\\text{обр}| \\sim \\sqrt{\\phi_K - U}$\")\n",
    "plt.xlabel(\"Напряжение, мВ\")\n",
    "plt.ylabel(\"Сила тока, мкА\")\n",
    "# plt.title(\"ВАХ полупроводникового диода (обратный ход)\")\n",
    "plt.legend()\n",
    "\n",
    "plt.savefig(\"semi-back.png\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "d511fe53-0d37-41d2-9099-3951e333e5cf",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([4200.        , 2555.55555556, 1714.28571429, 1461.53846154])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "R"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "2e083a61-df4a-40f9-bafe-30cb8bfa5f33",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 900x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "U = data_semi[10:14].T[0]*1e-3\n",
    "I = data_semi[10:14].T[1]*1e-6\n",
    "\n",
    "R = np.diff(U) / np.diff(I)\n",
    "revI = 1/I[:-1]\n",
    "\n",
    "line = lambda x, k, b: k * x + b\n",
    "popt, pcov = curve_fit(line, revI, R)\n",
    "\n",
    "plt.plot(revI, R*1e-3, \"--.\", label=\"Экспериментальные данные\")\n",
    "plt.plot(revI, line(revI, *popt)*1e-3)\n",
    "plt.text(.6e7, 700, r\"$r_\\text{Б} = \" + fr\"{popt[1]*1e-3:.0f} \" + r\"\\text{ к}\\Omega$\")\n",
    "plt.xlabel(r\"$1/I$, усл. ед. 1/А\")\n",
    "plt.ylabel(r\"Сопротивление, $\\text{к}\\Omega$\")\n",
    "# plt.title(r\"Зависимость $R = dU/dI$ от $1/I$ полупроводникового диода\")\n",
    "plt.legend()\n",
    "\n",
    "plt.savefig(\"semi-R.png\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "e19f1a55-aed5-4de3-b90e-332c34e47c95",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.035, 0.083, 0.135, 0.184])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "U"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}