observing-frequency-calculator.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Observing freqency calculator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.style.use('seaborn-darkgrid')\n",
    "plt.style.use('seaborn-muted')\n",
    "plt.rcParams['figure.figsize'] = 12, 4\n",
    "plt.rcParams['figure.dpi'] = 150"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Constants"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "xffts_lower = 0.1 # GHz\n",
    "xffts_upper = 2.4 # GHz"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plotter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot(f_LO1=140.0, f_LO2=8.1, lines=None, ax=None):\n",
    "    if f_LO2 == 8.1:    \n",
    "        usb_lower = f_LO1 + f_LO2 - xffts_upper\n",
    "        usb_upper = f_LO1 + f_LO2 - xffts_lower\n",
    "        lsb_lower = f_LO1 - f_LO2 + xffts_lower\n",
    "        lsb_upper = f_LO1 - f_LO2 + xffts_upper\n",
    "    elif f_LO2 == 3.9:\n",
    "        usb_lower = f_LO1 + f_LO2 + xffts_lower\n",
    "        usb_upper = f_LO1 + f_LO2 + xffts_upper\n",
    "        lsb_lower = f_LO1 - f_LO2 - xffts_upper\n",
    "        lsb_upper = f_LO1 - f_LO2 - xffts_lower\n",
    "    else:\n",
    "        raise ValueError('f_LO2 must be eather 3.9 or 8.1')\n",
    "        \n",
    "    if ax is None:\n",
    "        ax = plt.gca()\n",
    "\n",
    "    # plot LSB and USB ranges\n",
    "    style = {'lw': 0, 'alpha': 0.5, 'ymin': 0, 'ymax': 0.4}\n",
    "    ax.axvspan(lsb_lower, lsb_upper, color='royalblue', **style)\n",
    "    ax.axvspan(usb_lower, usb_upper, color='hotpink', **style)\n",
    "\n",
    "    style = {'color': 'white', 'ha': 'center', 'va': 'center'}\n",
    "    ax.annotate('LSB', ((lsb_lower+lsb_upper)/2, 0.2), **style)\n",
    "    ax.annotate('USB', ((usb_lower+usb_upper)/2, 0.2), **style)\n",
    "    \n",
    "    style = {'color': 'gray', 'ha': 'center', 'va': 'center', 'rotation': 90}\n",
    "    ax.annotate(lsb_lower, (lsb_lower, 0.2), **style)\n",
    "    ax.annotate(lsb_upper, (lsb_upper, 0.2), **style)\n",
    "    ax.annotate(usb_lower, (usb_lower, 0.2), **style)\n",
    "    ax.annotate(usb_upper, (usb_upper, 0.2), **style)\n",
    "\n",
    "    # plot bars of lines\n",
    "    if lines is None:\n",
    "        lines = {}\n",
    "\n",
    "    lines.update({'f_LO1': f_LO1})\n",
    "\n",
    "    style = {'color': '#333333', 'ha': 'center', 'va': 'center'}\n",
    "    for name, freq in lines.items():\n",
    "        ax.axvline(freq, ymin=0, ymax=0.8, color='gray')\n",
    "        ax.annotate('{0}\\n({1:.1f})'.format(name, freq), (freq, 0.9), **style)\n",
    "\n",
    "    # preferences\n",
    "    ax.set_xlim(lsb_lower-1, usb_upper+1)\n",
    "    ax.set_yticklabels([])\n",
    "    ax.set_xlabel('Observed frequency (GHz)')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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mFStst23bVpK0YcMGisgAAACXwHQWAAAAJZCVlSVJqlGjRonah4eHSyosbp6vR48engKyJAUGBnqmF1iyZImkwiKny+XSiRMnvL6CHx4ersWLF+ubb76RxWKRJP3nP/+Ry+XSE0884SmSSpLBYNAf/vAHGY1Gn9MlDBgwwKuALBUW4lwul5YvX+7Z5nA4tHLlSsXGxnoKt0uWLFFubq4efPBBrwKyJE2cOFGRkZFasmSJZ7qIzz77TBaLRU8++aTXe44ZM0YtW7a86H0sKV8LtJXm3tjtdq1atUo1a9bUQw895HWexx9/XFFRUVcU30cffSRJevrppz0FZKlwWoXf/e53kqRFixYVO+6+++7zFJAlqVGjRmrSpIlyc3N15swZSYXTihw6dEi9evXyKiBL0oMPPqgJEyZ4PvwoGmVelGtFlixZIovF4lVY9mX//v3Kz89Xs2bNiu0riqco98+XlpamGTNm+PxTNN3G+ebOnauZM2f6/DN37tyLxlj0fg888IByc3P1t7/9TY0aNSrWJiwsTDExMZ4FGwEAAOAfI5EBAABKICwsTKmpqcrLyys2AtOXonmBL1wErnPnzsXaJiQkKCgoSHv27JFUWKgeOnSoPvvsM/Xr109t27ZV9+7ddeONN6pdu3ZehdiiAtiGDRv0ww8/FDt3cHCwDh8+rOzsbK9i5IXFX0kaPHiwXnnlFS1dulT33nuvJGn9+vXKyMjQ2LFjZTAYvN7z+++/14wZM4qdJzAwUGlpaTp8+LDq1aunQ4cOqWnTpj5Hlnbq1Mln3KXl63pKc2+OHz+unJwcde7cWSaTyaudxWJR586dtWrVqsuOryiWVatW6YsvvvDa53K5ZDAYPD//8124cJ0kz30sWmiw6Np8LfYYFRWlJ5980vO6ZcuWatGihTZs2OAZcZ6cnKytW7eqX79+l1y0sKhQfH5RvkhR8dhXUTg9PV0zZ870ec6hQ4cWKzyvWbNGcXFxPtsfPXpUffr08Ruj3W7Xww8/rKNHj2rq1Km64YYb/LaNjIzUqVOnlJWVVaK/1wAAANUVRWQAAIASqFevnlJTU3Xw4EHP1+D9sdvtOnLkiCwWi2rXru21z98cwMHBwUpNTfW8fumll9S2bVt98skn2rFjh7Zv366ZM2cqJiZGTzzxhGdqiaKv9n/wwQcXjencuXNeRWRfc9aGh4erd+/eWr16tQ4dOqRGjRoVm8ri/Pcs2ufP2bNnPQVPfwW6sLCwi56jpM6f37dIae5NUdvz79H5fBVNS6Po/G+//bbfNmfPni227fz5tIsUFfOLFlgsKtqWdJT8iBEj9OKLL2rZsmW677779Omnn8rtdhebC/tiMfq630WF/KJpLc7XpEkT7du3z2vbuHHj9N1335Uo5tKYMmWKtm/frjFjxuiuu+66aNuivwdnz56liAwAAHARFJEBAABKoF+/ftq+fbtWr159ySLy+vXrlZ+frz59+hQrAubm5hZr73Q6lZaW5lVQNZvNuvvuu3X33XcrLS1NmzZt0ldffaUVK1boD3/4g+Li4tS5c2dP0TMxMfGKp1yQChcoW716tZYvX657771X69atU8eOHdWgQQNPm6L3/Pjjj9WuXbuLni8/P1+S73lsJSknJ+eKY/anNPemKI7Tp0/73F80AvdCLper2DZfP+Pg4GDZ7XZt377dUwQuK0XTY2RmZvrcf+Eo9CFDhmj69OmeIvKyZcsUHR1dbKE8X4qKx75+nr1795bZbNaaNWtkt9tltVov53KuyMyZM7Vs2TJ169ZNf/zjHy/Zvug6fBXFAQAA8D/MiQwAAFACw4YNU3h4uD788EPPInu+5Obm6vXXX5ckjR07ttj+3bt3F9u2fft2FRQUqE2bNpIKFwR77bXXtG7dOkmFo2AHDRqk6dOna+LEiZKkpKQkSVKLFi0kSTt37ix23vz8fL300kv697//7Rm1eik33XSToqOj9cUXX+jLL79Ufn6+hg8f7tXmYu8pSa+//rpmz56tnJwcBQQEKD4+XkeOHPEaaV1k165dJYrrcpTm3jRs2FA1atTQ/v37PfNfFykoKPA5HYbFYvFMW3I+XyNxW7Roodzc3GKjcaXChQr/8pe/+Jy7uiSaN28uyfe9zMzMVNeuXT3Tk0iFI8779Omj3bt36+uvv9aRI0d02223FZvGw5c6depI8j1lRc2aNTVgwABlZGTo73//+yXP5asAfyWWLVumGTNmqGHDhvrb3/4ms/nS42XS09MVGBh4xSPNAQAArnUUkQEAAEogMjJSzz//vHJycnTfffdp27ZtxdocP35c48eP14EDB3TnnXf6HNm5fPlyr4W8srKyNH36dEnS6NGjJUlGo1H//Oc/9cYbbygvL8/r+KKF9oqmDrjjjjskSdOnTy82ivbNN9/U+++/X6rRr2azWUOGDNHevXs1d+5c2Ww2DRo0yKvNbbfdJovFon/84x86ePCg174PPvhAs2fP1urVqz0jZEeNGqWCggK9+OKLnsX2JGnlypWeYnh5KM29MZlMGjlypDIzM/Xqq696Fd3//e9/Kzk5udj5mzRpopycHG3evNmzLScnR3PmzPEbywsvvOA1YtjlcunFF1/U3Llzi93LkurcubPq1auntWvX6ttvv/Xa9/bbb8vpdBabF7ho6ooXXnhBUuGiiiXRrFkzWSwWn8VwSXruuecUGxurd955Ry+//LLPkeanTp3S1KlTPT/7Cxd4vBzbtm3TlClTFB4errfffrtE06SkpKTozJkzat68eZmPDgcAALjWMJ0FAABACQ0cOFCS9PTTT2vMmDHq1KmT2rZtK5PJpIMHDyoxMVF2u13jx4/XE0884fMcderU0d13361BgwYpODhYa9eu1bFjx3THHXfolltukSQ1atRIY8aM0YIFCzRw4ED16tVLNptNO3fuVFJSkjp06KB+/fpJkjp27KiHH35Yb731lm699Vb17t1bNWvW1NatW7Vjxw7FxsZqypQppbrO4cOHa86cOdqzZ48GDx5cbK7YuLg4Pffcc5o6daqGDRumvn37qk6dOvrxxx+VmJiosLAwvfTSS572Y8eO1bp167Ry5UodOHBA3bp109GjR7V27Vo1aNBAR44cKVV8JVXae/Poo49qy5YtWrBggXbv3q1OnTrp559/VmJiokJDQ4tN4XDXXXfp2Wef1UMPPaTBgwfLZrPpyy+/VGRkpKeAXmTIkCH69ttvtWTJEg0cOFA9e/ZUSEiIEhMTtX//frVq1UoPP/zwZV2nyWTSK6+8ogkTJmjChAnq3bu36tevr++//15btmxRhw4dvEYiS1L37t1Vp04dHTt2TO3bt1eTJk1K9F6BgYHq2LGjNm/e7FmY73yhoaFasGCBfve73+m9997Txx9/rBtvvFFxcXFyOp3av3+/kpKS5HQ6Pfff16KIpZGZmalHHnlEdrtd/fv315o1a7RixYpio++7du2q6667zvO6qIhdkmk8AAAAqjuKyAAAAKUwcOBAde7cWf/5z3+0du1affrpp7Lb7apTp45uv/12jRo1Si1btvR7/IQJE5SWlqYFCxYoJSVFDRs21NSpU4tNffHHP/5RzZs316JFi7R8+XLl5uYqLi5OkydP1vjx42WxWDxtH3vsMbVp00bz5s3zzEdbt25djR8/Xr/97W9LPVdyfHy8WrVqpT179ngtqHe+kSNHqlGjRnr33XeVmJionJwc1a5dW6NGjdIDDzzgVRg0mUyaPXu23nnnHS1ZskQLFixQ3bp19ec//1lHjx7VrFmzShVfaZTm3gQGBmru3LmaPXu2li5dqvnz56tp06aaOXOm3n///WKLwI0aNUoul0vz58/XJ598ooiICPXv31+PP/64evbsWSyWV155Rddff73+85//aPny5ZIKC/KPPfaY7rnnnita2K1z585atGiR3nrrLW3cuFFfffWVYmJi9Nvf/laPPPJIsfmJjUajBg4cqDlz5pR4FHKRYcOGafPmzVq/fr3PxfhiYmL0/vvv65tvvtGyZcv0/fffKzExUS6XS9HR0RowYID69eunvn37lmgKjUs5e/as0tLSJElLly7V0qVLfbabNGmSVxF5/fr1Mv7/9u4QRREojuP4fwYRjBYNJsHsCSweQINYFcFgMJo8wwhW8QQ2u1GLGBSTzVNoMO2mDRse7MyOuK6fzwEev/zl8d77ezSbzb/eAADwv3v78acP5AEAwIvqdDqx2+1itVr99sngM+v1enE8HmOz2XwqYP+68VssFmOxWNxx4f1cLpeo1WpRr9djOp0+eg4AwD/Pm8gAAPBittttbLfbaDQan74Bnc1mYzAYxOFwiNPpdKeF97VcLuN2u8VwOHz0FACApyAiAwDAixiPx9FqtaLf70cul4vBYPClc9rtdlSr1ZhMJt+88P6u12vMZrPodrtRqVQePQcA4CmIyAAA8CIKhUKcz+col8sxm82iVCp96ZxMJhMfHx+x3+9jvV5/88r7ms/nkc/nYzQaPXoKAMDT8CYyAAAAAABJbiIDAAAAAJAkIgMAAAAAkCQiAwAAAACQJCIDAAAAAJAkIgMAAAAAkCQiAwAAAACQJCIDAAAAAJAkIgMAAAAAkCQiAwAAAACQJCIDAAAAAJAkIgMAAAAAkCQiAwAAAACQJCIDAAAAAJD0E552MN91ObrtAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "f_LO1 = 140.0\n",
    "f_LO2 = 8.1\n",
    "lines = {'SO2': 134.00486000, 'CS (3-2)': 146.96902870}\n",
    "\n",
    "plot(f_LO1, f_LO2, lines=lines)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "f_LO1 = 136.0\n",
    "f_LO2 = 8.1\n",
    "lines = {'SiO v=1': 129.36324000}\n",
    "\n",
    "plot(f_LO1, f_LO2, lines=lines)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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/D5lMBrlcbg49tVrtHY9cAIYvKKuurkZVVRVSU1NRV1eHsLAwTJw40bxGeM+dO3di2rRpN91vYGAAgPgcWwAwGAx3XLMtjpyNUMdff/0l+lzowL2RyWSyek3sO3Zzc4PRaIROpzOHwHeLMB6jt7dX9PmNXeixsbEoKCgwh8hqtRpeXl5WF+WJEcJjse8zMjISLi4uqKmpgdFoxOjRo2/n49yRwsJCqNVqzJw5E6tXr77leuFziIXiRERERPR/OBOZiIiIyA7x8fHw8PDA999/b75kT0x/fz/Wr18PAEhOTrZ63traavWaTqfD0NAQpk6dCmD4QrDPP/8cdXV1AIa7YKOjo1FQUIDXXnsNANDY2AgACAkJAQA0Nzdb7TswMIC8vDxs3brV3LV6K88//zy8vLxw4MABHDx4EAMDA1i4cKHFmpu9JwCsX78eJSUlMBgMeOihhzBp0iR0dnZadFoLfv31V7vquh2OnI2/vz8effRRtLe3m+dfC4aGhkTHYUgkEvPYkpHEOnFDQkLQ399v1Y0LDF9U+Mknn4jOrrZHcHAwAPGz7O3txYwZM8zjSYDhjvOoqCi0trbi559/RmdnJxYsWGA1xkOMj48PAPGRFePGjcP8+fNx5coVfPXVV7fcSyyAvxNqtRobN26Ev78/vvzyS7i43Lpf5vLly5BKpXfcaU5ERET0X8cQmYiIiMgOnp6e+Oijj2AwGLB8+XI0NTVZrblw4QLS0tJw+vRpvPLKK6KdnVVVVRYXefX19aGgoAAA8PLLLwMAnJycsHnzZmzYsAHXrl2z+H3hoj1hdEBCQgIAoKCgwKqL9osvvkBZWZlD3a8uLi6IjY3F77//jvLycri6uiI6OtpizYIFCyCRSPD111+jo6PD4tm2bdtQUlKC6upqc4dsYmIihoaGkJuba75sDwD27dtnDsPvBUfOxtnZGYsXL0Zvby/WrVtnEbpv3boV586ds9o/MDAQBoMBDQ0N5tcMBgNKS0tt1rJ27VqLjmGTyYTc3FyUl5dbnaW95HI5/Pz8UFtbiyNHjlg8KyoqwuDgoNVcYGF0xdq1awEMX6pojyeffBISiUQ0DAeANWvWwNfXF1u2bMGnn34q2ml+8eJF5OTkmL/7Gy94vB1NTU3Izs6Gh4cHioqK7BqTcunSJfz9998IDg6+693hRERERP81HGdBREREZCelUgkA+OCDD5CUlITw8HCEhobC2dkZHR0d0Gq1MBqNSEtLw6pVq0T38PHxQUpKCqKjo+Hm5oba2lqcP38eCQkJeOGFFwAAAQEBSEpKgkqlglKpxJw5c+Dq6orm5mY0NjZi+vTpUCgUAICwsDBkZmZi06ZNePHFFxEZGYlx48bhxIkTOHnyJHx9fZGdne3Q51y4cCFKS0vR1taGmJgYq1mxMpkMa9asQU5ODuLj4zF37lz4+Pjg1KlT0Gq1cHd3R15ennl9cnIy6urqsG/fPpw+fRozZ85EV1cXamtrMXHiRHR2djpUn70cPZu33noLx48fh0qlQmtrK8LDw/Hnn39Cq9VizJgxViMclixZgg8//BCvv/46YmJi4OrqioMHD8LT09McoAtiY2Nx5MgR7NmzB0qlErNnz8YjjzwCrVaL9vZ2TJkyBZmZmbf1OZ2dnZGfn4+MjAxkZGQgMjISTzzxBFpaWnD8+HFMnz7dohMZAGbNmgUfHx+cP38eTz/9NAIDA+16L6lUirCwMDQ0NJgv5htpzJgxUKlUeO+99/Dtt99i586diIiIgEwmw+DgINrb29HY2IjBwUHz+YtdiuiI3t5eZGVlwWg0Yt68eaipqcHevXutuu9nzJiBZ555xvyzEGLbM8aDiIiI6EHHEJmIiIjIAUqlEnK5HDt27EBtbS0qKipgNBrh4+ODRYsWITExEZMnT7b5+xkZGdDr9VCpVLh06RL8/f2Rk5NjNfpi9erVCA4Oxq5du1BVVYX+/n7IZDK8+eabSEtLg0QiMa9duXIlpk6diu+++848j3bChAlIS0tDenq6w7OSJ02ahClTpqCtrc3iQr2RFi9ejICAAHzzzTfQarUwGAwYP348EhMT8eqrr1oEg87OzigpKcGWLVuwZ88eqFQqTJgwAR9//DG6urpQXFzsUH2OcORspFIpysvLUVJSgsrKSmzfvh1BQUEoLCxEWVmZ1SVwiYmJMJlM2L59O3bv3o2xY8di3rx5ePvttzF79myrWvLz8/Hss89ix44dqKqqAjAcyK9cuRLLli27o4vd5HI5du3ahU2bNuGXX37BoUOH4O3tjfT0dGRlZVnNJ3ZycoJSqURpaandXciC+Ph4NDQ0QKPRiF7G5+3tjbKyMhw+fBhqtRotLS3QarUwmUzw8vLC/PnzoVAoMHfuXLtGaNxKT08P9Ho9AKCyshKVlZWi69544w2LEFmj0cDJyQlxcXF3XAMRERHRf92o6/YOyCMiIiIiekAtXboUx44dw08//WRxyeD9LDU1Fc3NzTh8+LBDAbbQ8evt7Y0ffvjhHlZ47/T19SEiIgJz5szBhg0b/u1yiIiIiP7f40xkIiIiIqIHTH19Perr6xEbG+twB/To0aOxYsUK6HQ6nDp16h5VeG9VVFRgYGAAWVlZ/3YpRERERPcFhshERERERA+I7OxsLFq0COnp6ZBKpVixYsVt7ZOQkIDQ0FCsW7fuLld47129ehXFxcVYtmwZgoKC/u1yiIiIiO4LDJGJiIiIiB4Qjz/+ODo6OhAQEIDi4mL4+vre1j4uLi747LPP0NTUBI1Gc5ervLc2b96MsWPH4p133vm3SyEiIiK6b3AmMhERERERERERERHZxE5kIiIiIiIiIiIiIrKJITIRERERERERERER2cQQmYiIiIiIiIiIiIhsYohMRERERERERERERDYxRCYiIiIiIiIiIiIimxgiExEREREREREREZFNDJGJiIiIiIiIiIiIyCaGyERERERERERERERkE0NkIiIiIiIiIiIiIrKJITIRERERERERERER2cQQmYiIiIiIiIiIiIhsYohMRERERERERERERDYxRCYiIiIiIiIiIiIim/4HvSBkr2zdsa0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "f_LO1 = 151.5\n",
    "f_LO2 = 8.1\n",
    "lines = {'ACT SMG\\nCO (5-4)': 158.321}\n",
    "\n",
    "plot(f_LO1, f_LO2, lines=lines)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "f_LO1 = 151.0\n",
    "f_LO2 = 8.1\n",
    "lines = {'ACT SMG\\nCO (5-4)': 158.321}\n",
    "\n",
    "plot(f_LO1, f_LO2, lines=lines)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "f_LO1 = 143.5\n",
    "f_LO2 = 8.1\n",
    "lines = {'B0218\\nCO (1-2)': 136.85}\n",
    "\n",
    "plot(f_LO1, f_LO2, lines=lines)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(127, 160)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "f_LO1 = 140.0\n",
    "f_LO2 = 8.1\n",
    "lines = {'SO2': 134.00486000, 'CS (3-2)': 146.96902870}\n",
    "plot(f_LO1, f_LO2, lines=lines)\n",
    "\n",
    "f_LO1 = 136.0\n",
    "f_LO2 = 8.1\n",
    "lines = {'SiO v=1': 129.36324000}\n",
    "plot(f_LO1, f_LO2, lines=lines)\n",
    "\n",
    "f_LO1 = 151.5\n",
    "f_LO2 = 8.1\n",
    "lines = {'ACT SMG\\nCO (5-4)': 158.321}\n",
    "plot(f_LO1, f_LO2, lines=lines)\n",
    "\n",
    "f_LO1 = 143.5\n",
    "f_LO2 = 8.1\n",
    "lines = {'B0218\\nCO (1-2)': 136.85}\n",
    "plot(f_LO1, f_LO2, lines=lines)\n",
    "\n",
    "ax.set_xlim(127, 160)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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