{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy.optimize import curve_fit\n",
    "import matplotlib.pyplot as plt\n",
    "import plotly.graph_objects as go\n",
    "plt.rcParams['font.family'] = 'Arial'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 650x400 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "raman = [ \"zyyz\", \"zyxz\", \"yxxy\", \"yxzy\", \"yzzy\" ]\n",
    "title = [ \"$\\\\mathrm{z(yy)\\\\overline{z}}$\", \"$\\\\mathrm{z(yx)\\\\overline{z}}$\", \"$\\\\mathrm{y(xx)\\\\overline{y}}$\", \"$\\\\mathrm{y(xz)\\\\overline{y}}$\", \"$\\\\mathrm{y(zz)\\\\overline{y}}$\" ]\n",
    "fig, axes = plt.subplots(5, figsize=(6.5, 4))\n",
    "\n",
    "for i in range(0, 5):\n",
    "  for j in range(1, 6):\n",
    "    file = open(f\"../stuff/42/20250331/1/{raman[i]}/{j}.txt\", 'r', encoding='utf-8', errors='ignore')\n",
    "    data = np.loadtxt(file, comments='#')\n",
    "    # 平移并缩放y，使得最小值为 10，最大值为 1000\n",
    "    data[:,1] = 10 + (data[:,1] - data[:,1].min()) / (data[:,1].max() - data[:,1].min()) * 990\n",
    "    axes[i].plot(data[:,0], np.log10(data[:,1]), color=\"gray\", linewidth=0.5)\n",
    "  axes[i].set(xlim=[150, 1000], ylim=[1, 3.1])\n",
    "  fig.text(-0.02, 0.9 - i * 0.2, title[i], va='center', ha='center', rotation='vertical', fontsize=12, fontname='Arial')\n",
    "  axes[i].tick_params(direction='in')\n",
    "  axes[i].set_xticks(range(200, 1001, 100))\n",
    "  axes[i].set_xticklabels([])\n",
    "  axes[i].set_yticklabels([])\n",
    "fig.text(-0.07, 0.5, \"Raman intensity (log, a.u.)\", va='center', ha='center', rotation='vertical', fontsize=12, fontname='Arial')\n",
    "axes[4].set_xticklabels(range(200, 1001, 100), fontsize=12, fontname='Arial')\n",
    "axes[4].set_xlabel(\"Raman shift (cm$^{-1}$)\", fontsize=12, fontname='Arial')\n",
    "fig.subplots_adjust(left=0, right=1, top=1, bottom=0, wspace=0, hspace=0)\n",
    "fig.savefig(f'画图/拉曼整体图/拉曼.svg', format='svg', transparent=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "data": [
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         "line": {
          "color": "red"
         },
         "mode": "lines",
         "name": "zyyz",
         "type": "scatter",
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   "source": [
    "raman = [ \"zyyz\", \"zyxz\", \"yxxy\", \"yxzy\", \"yzzy\" ]\n",
    "color = [ \"red\", \"blue\", \"green\", \"orange\", \"purple\" ]\n",
    "fig = go.Figure()\n",
    "for i in range(0, 5):\n",
    "  for j in range(1, 6):\n",
    "    file = open(f\"../stuff/42/20250331/1/{raman[i]}/{j}.txt\", 'r', encoding='utf-8', errors='ignore')\n",
    "    data = np.loadtxt(file, comments='#')\n",
    "    # 平移并缩放y，使得最小值为 10，最大值为 1000\n",
    "    data[:,1] = 10 + (data[:,1] - data[:,1].min()) / (data[:,1].max() - data[:,1].min()) * 990\n",
    "    fig.add_trace(go.Scatter(x=data[:,0], y=np.log10(data[:,1]), mode='lines', name=raman[i], line=dict(color=color[i])))\n",
    "fig.update_layout(width=1920, height=1080)\n",
    "fig.show()"
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