{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_by_dxdy(dx, dy, r, c):\n",
    "    '''plot line between points (0,0) and (dx, dy)'''\n",
    "    if dy == 0: dy = 1e-18\n",
    "    y1 = -dx/dy * (r[0] - dx/2) + dy/2\n",
    "    y2 = -dx/dy * (r[1] - dx/2) + dy/2\n",
    "    plt.plot(r, (y1, y2), c=c)\n",
    "\n",
    "def bz(dx, dy, r=(-2, 2), c='k'):\n",
    "    '''plot all lines between points (0,0) and (dx, dy) using symmetry'''\n",
    "    plot_by_dxdy(dx, dy, r, c)\n",
    "    plot_by_dxdy(-dx, dy, r, c)\n",
    "    plot_by_dxdy(dx, -dy, r, c)\n",
    "    plot_by_dxdy(-dx, -dy, r, c)\n",
    "\n",
    "    dx, dy = dy, dx\n",
    "    plot_by_dxdy(dx, dy, r, c)\n",
    "    plot_by_dxdy(-dx, dy, r, c)\n",
    "    plot_by_dxdy(dx, -dy, r, c)\n",
    "    plot_by_dxdy(-dx, -dy, r, c)\n",
    "\n",
    "def circle(r, c='b'):\n",
    "    '''plot circle centered at (0,0) with radius r colored c'''\n",
    "    phi = np.arange(0, 6.2831, 0.01)\n",
    "    plt.plot(r*np.cos(phi), r*np.sin(phi), c=c)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-2.2, 2.2)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Ignoring fixed x limits to fulfill fixed data aspect with adjustable data limits.\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(9,9))\n",
    "plt.axis('equal')\n",
    "\n",
    "# узлы решетки\n",
    "for i in np.arange(-2,3):\n",
    "    for j in np.arange(-2,3):\n",
    "        plt.scatter(i,j, c='k', s=200, zorder=100)\n",
    "\n",
    "# границы зон Бриллюэна\n",
    "bz(1, 0, c='purple'); bz(2, 0, c='purple'); bz(3, 0, c='purple')\n",
    "bz(1, 1, c='red')\n",
    "bz(1, 2, c='orange')\n",
    "bz(2, 2, c='y')\n",
    "bz(2, 3, c='green')\n",
    "\n",
    "# сектор вправо от центра (см. Ашк/Мерм гл. 9 задача 5)\n",
    "plt.plot([2,0,2], [2,0,0], c='k')\n",
    "\n",
    "# число своб. электронов на элем. ячейку\n",
    "m=7\n",
    "circle((2*m/4/3.14)**0.5)\n",
    "\n",
    "# границы отрисовки\n",
    "mx = 2\n",
    "plt.xlim(-1.1*mx, 1.1*mx); plt.ylim(-1.1*mx, 1.1*mx)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "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": "3.14.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
