{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Sources of Opacity\n",
"\n",
"Within the ejecta there are several sources of opacity for the $\\gamma$-rays that we need to take into account. Each source of opacity has its own function in the code. The following cells show each source of opacity and how they are implemented in the code."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from tardis import constants as const\n",
"from tardis.opacities.opacities import compton_opacity_calculation\n",
"from tardis.opacities.opacities import photoabsorption_opacity_calculation\n",
"from tardis.opacities.opacities import pair_creation_opacity_calculation\n",
"%config InlineBackend.figure_format = 'retina'"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"energies = np.arange(10, 10000, 0.01) # in KeV"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The values are taken from the $k^{th}$ shell at time $t_i$"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"ejecta_density = 1.25e-10 # g/cm^3\n",
"electron_density = 3.57e11 # cm^-3\n",
"x_ige = 0.01"
]
},
{
"cell_type": "markdown",
"metadata": {
"vscode": {
"languageId": "plaintext"
}
},
"source": [
"## Pair Creation\n",
"\n",
"Pair Creation is dominant when the energy of the $\\gamma$-ray is greater than or equal to $2m_e c^2$.\n",
"It occurs when a $\\gamma$-ray interacts with an atomic nucleus and creates an electron-positron pair. \n",
"\n",
"\n",
"\n",
"*Image from [Wikidot](http://electrons.wikidot.com/pair-production-and-annihilation)*\n",
"\n",
"The positron forms a bound-state with an electron called positronium which decay into two photons at 0.511 MeV or three photons. \n",
"The photon packet keeps its energy but is sent into a new direction.\n",
"The pair-production coefficients ($cm^{-1}$) as given in [][] (see Equation 2) are:\n",
"\n",
"$$\n",
"\\alpha_{pp}(1.5 < h\\nu < 1.022 MeV) = \\rho \\left[ \\frac{Z_{\\text{Si}}^2}{m_{\\text{Si}}} (1 - X_{\\text{IGE}}) + \\frac{Z_{\\text{Fe}}^2}{m_{\\text{Fe}}} X_{\\text{IGE}} \\right] 1.0063 (h\\nu - 1.022 MeV) \\times 10^{-27}\n",
"$$\n",
"\n",
"$$\n",
"\\alpha_{pp}(h\\nu \\geq 1.5 MeV) = \\rho \\left[ \\frac{Z_{\\text{Si}}^2}{m_{\\text{Si}}} (1 - X_{\\text{IGE}}) + \\frac{Z_{\\text{Fe}}^2}{m_{\\text{Fe}}} X_{\\text{IGE}} \\right] \\left[ 0.0481 + 0.301(h\\nu - 1.5 MeV) \\right] \\times 10^{-27}\n",
"$$\n",
"\n",
"\n",
"$\\rho$ is the mass density of the ejecta and $X_{\\text{IGE}}$ is the mass fraction of Fe-group elements."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Pair Creation Attenuation Coefficient')"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 454,
"width": 590
}
},
"output_type": "display_data"
}
],
"source": [
"pair_creation_opacities = np.zeros(len(energies))\n",
"for i in range(len(energies)):\n",
" pair_creation_opacities[i] = pair_creation_opacity_calculation(energy=energies[i], ejecta_density=ejecta_density, iron_group_fraction=x_ige)\n",
"\n",
"# We can then plot the opacity \n",
"plt.plot(energies, pair_creation_opacities)\n",
"plt.xlabel(\"Packet Energy (KeV)\")\n",
"plt.ylabel(r\"$\\alpha_{pp}$ (cm$^{-1}$)\")\n",
"plt.xlim(right= 5000)\n",
"plt.title(\"Pair Creation Attenuation Coefficient\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Compton Scattering\n",
"\n",
"Compton scattering is inelastic scattering that occurs when a high energy photon collides with an electron. Unlike Thomson scattering, which is elastic, during the collision some of the energy from the photon is transferred to the electron and the scattered photon is lower energy than the incident photon. \n",
"This means that the scattered photon also has a lower frequency and a longer wavelength. In the simulation we assume that the electrons are moving significantly slower than the photons.\n",
"\n",
"\n",
"\n",
"*Image from [Wikipedia](https://en.wikipedia.org/wiki/Compton_scattering)*\n",
"\n",
"A high energy photon with an energy $e$ after scattering through an angle $\\theta$ loses its energy by the fraction $f$.\n",
"\n",
"$$\n",
"f = \\frac{1}{1 + x(1 - \\cos{\\theta})}\n",
"$$\n",
"\n",
"Where $\\theta$ is the angle the photon is scattered at and $x = \\frac{h \\nu}{m_e c^2}$\n",
"\n",
"The partial cross section from 0 to $\\theta$ in terms of f as given in the [ARTIS](https://github.com/artis-mcrt/artis) code [][] is:\n",
"\n",
"$$\n",
"\\sigma(f) = \\frac{3 \\sigma_T}{8x} \\frac{\\left( x^2 - 2x - 2 \\right) \\ln(f)}{x^2} + \\frac{f^2 - 1}{2f^2} + \\frac{f - 1}{x} [\\frac{1}{x} + \\frac{2}{f} + \\frac{1}{xf}]\n",
"$$\n",
" \n",
"Where $f$ can range from $1$ to $\\frac{1}{1+2x}$ and $\\sigma_T$ is the Thomson scattering cross section.\n",
"\n",
"The scattering angle is given by:\n",
"\n",
"$$\n",
"\\theta = \\cos^{-1}({1 - \\frac{f-1}{x}})\n",
"$$\n",
"\n",
"The total integrated Compton scattering coefficient [] is:\n",
"\n",
"$$\n",
"\\alpha_C = n_e \\frac{3}{4} \\sigma_T [\\frac{1+x}{x^3} (\\frac{2x(1 + x)}{1 + 2x} - \\ln(1 + 2x)) + \\frac{1}{2x} \\ln(1 + 2x) - \\frac{1 + 3x}{(1 + 2x)^2}]\n",
"$$\n",
"\n",
"Where $n_e$ is the number density of electrons.\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 454,
"width": 570
}
},
"output_type": "display_data"
}
],
"source": [
"compton_opacities = compton_opacity_calculation(energies, electron_density)\n",
"plt.axhline(const.sigma_T.cgs.value*electron_density*.75, color = \"red\", label = \"Thomson Scattering Cross Section\")\n",
"plt.plot(energies, compton_opacities)\n",
"plt.xlabel(\"Packet energies (KeV)\")\n",
"plt.ylabel(r\"$\\alpha_{C}$ (cm$^{-1}$)\")\n",
"plt.title(\"Compton Scattering Attenuation Coefficient\")\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Photoabsorption\n",
"\n",
"This occurs when the photon is completely absorbed by a material. We assume that the $\\gamma$-ray deposits all of its energy when this occurs.\n",
"The coefficient as given in [][] (see Equation 3) is:\n",
"\n",
"$$\n",
"\\alpha_{pa}(\\nu) = 1.16 \\times 10^{-24} (\\frac{h\\nu}{100 keV})^{-3.13} \\frac{\\rho}{m_{\\text{Si}}} (1 - X_{\\text{IGE}}) + 25.7 \\times 10^{-24} (\\frac{h\\nu}{100 keV})^{-3} \\frac{\\rho}{m_{\\text{Fe}}} X_{\\text{IGE}}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(5.0, 50.0)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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8zZ8/X5LUsWNHDRw4sFyZSZMmSSpeA+j48eN101gAQINEgAMAQA2Eh4frb3/7m/n4888/D2JrgDOfLyS96qqrFBsbW+P6Xq9Xt9xyi1577TVJUu/evfX1118rPj6+Lpuptm3b6qKLLpIkffXVVzp8+HC1dT755BNlZmZKOjmDp6xrr71WTqdTOTk5+ve//113DQYANDgEOAAA1NCAAQPMbf91KQoLC7VgwQLdfffd6tu3r+Li4hQSEqImTZqof//++stf/qK0tLSAXqOwsFCzZs3SVVddpVatWiksLEwJCQnq3bu37r77bq1cuVKGYdS47UuWLFF0dLRsNps6depU4boaixcv1g033KB27dopPDxcjRo1Uo8ePTRt2rQKT0p9iz/fcsst5nPt2rUrtxD0smXLatxeqfjSl/nz52v8+PFKTEyUy+VSXFyc+vXrp8cee6zKWQll78x1/PhxPfzww+ratasiIyMVGxuriy66SO+++25AbcnNzdXf//53DR8+XM2aNVNoaKgSEhJ06aWXavbs2fJ4PJXW9S2y67ucae3atbr55pvVrl07hYWFmbM3/K1cuVLjxo1Ts2bN5HK51L59e91xxx3asWOHJGnYsGGy2WwaNmxYubo1uQtVcnKybr31VnXq1ElRUVGKjIxU586dNXXqVG3fvr3KusePH9ff/vY3DRw40PzON23aVOedd57Gjh2rl19+WSkpKVUeozJ79+7V999/L0kaP358jet7PB7dcMMNeuuttyRJ/fv315IlS9S4ceMq6x04cEAPPfSQLrjgAsXFxcnlcqlNmza69tprtXTp0krr+S6B8ng8mjt3brXt883UsdlslQY4CQkJGjx4sCQR4ADA2c4AAACGYRjG0qVLDUmGJOORRx6ptFxeXp5ZrnPnzubzkydPNp+v7KdJkybGN998U2U71q1bZ7Rr167aY+3evbtUPd/rt23btsLjfvjhh0ZYWJghyejZs6dx9OjRUvuzs7ONsWPHVvmaUVFRxoIFCyr93Kr6Wbp0aZXvuyIpKSnGoEGDqjxus2bNjNWrV1dY3/8z2bJli5GUlFTpcaZOnVplW5KTk41WrVpV2ZZ+/foZR44cqbB+27ZtDUnG5MmTjZdfftlwOp3l6vt7/PHHDZvNVuHrREdHG19++aUxdOhQQ5IxdOjQcq+3e/dus/zs2bMrbFNRUZFx5513VvmeQkJCjFmzZlVYf/PmzUbLli2r7fuXXnqpys+2MnPmzDGPsXPnzirL+j5f3/e/sLDQ+PWvf23WHzx4sJGVlVXta7722mtGeHh4le9nypQpRlFRUbm6WVlZZt2ePXtW+TopKSnmd+Ciiy6qsuz//u//GpIMl8tlFBQUVPseAABnJmdV4Q4AACjv559/Nrf9F0B1u91q3769xo4dq379+qlNmzZyOp3au3evvvrqK73xxhtKT0/X2LFjtXHjRiUkJJQ79ubNmzVkyBBlZ2dLksaOHauJEyeqffv28ng82rZtmxYvXqz//ve/NWrz7Nmzdeutt8rj8WjIkCFasGCBYmJizP0ej0ejR4/W0qVLZbPZNHHiRI0bN07t2rVTUVGRkpOTNWPGDO3bt0/jx4/Xd999p969e0uS+vbtqw0bNujjjz/W9OnTJUlffvllucVh27VrV6M25+TkaOjQodqyZYtCQ0N1yy236Morr1RiYqJycnK0YsUKPffcczp69KiuuOIKrVu3Tm3btq3wWLm5ubr66quVnp6u6dOn6+KLL1ZUVJTWrVunRx99VAcOHNA///lPjR49Wpdddlm5+hs2bNDw4cOVk5OjhIQE3XnnnRoyZIiaNGmilJQUffLJJ3rllVeUnJysMWPGaOXKlQoJCamwLWvWrNE777yjxMREPfDAA+rdu7c8Ho9Wrlxplpk7d675WcbFxekPf/iDeXnOypUr9eSTT2rixIlq2rRpjT7TsqZMmWLOTrniiit0/fXXq1OnTrLZbFq/fr3+/ve/a9OmTbrtttvUvHlzjR49ulT9G2+8UYcOHVJISIhuvfVWXXHFFWrevLm8Xq8OHTqk5ORkffDBB7Vun+8zady4sdq3bx9wvcLCQl1zzTX65JNPJBXPVPr0008VGRlZZb033nhDv/3tbyVJ3bp10+23365evXopIiLCXPPqs88+0+uvv66YmBhzcWWf6OhojR07Vu+9957Wr1+vjRs3qlu3bhW+1rx58+R2uyWVX7y4LN+6W/n5+VqzZo0GDRpU/YcAADjzBDtBAgDAKgKdgTNmzBiz3F//+lfz+R07dhher7fSej///LMRFRVlSDKmT59eYZlevXoZkgy73W7MnTu30mOlpaUZubm5pZ6rbAbOM888Y7b3yiuvLFfPMAzj2WefNWdbfPbZZxW+5rFjx4yuXbuasxnKmj17dqWzg2rj7rvvNiQZMTExxpo1ayoss2fPHqNFixaGJOOGG24ot99/VlRsbKyxcePGcmW2b99uuFwuQ5Jx9dVXl9vv9XqN888/35Bk9OjRw0hNTa2wLZ9//rlht9sNScZrr71Wbr9vhogko3v37kZGRkaFx8nPzzcSEhIMSUbjxo2Nbdu2lSuzbds2o3HjxubxajMDZ/78+eb+V199tcK25OXlGSNGjDAkGUlJSaVmnezcuTOgGTZer9c4duxYpfur0qVLF0OSMXLkyGrL+j7fli1bGldeeaXZtksuuaTC73xZ+/btMyIiIsxZUhXNsDEMw/jjH/9ojtGK+uaLL74wX3vatGmVvl7fvn0NSUZ4eLiRmZlZZdv27t1rHvPpp5+u9r0AAM5MBDgAAJSoKsDJzc01vvvuO2P06NFmmUaNGhkpKSk1eo17773XkGR069at3D7/E7977rmnxu2vKMB56KGHzGNed911RmFhYbl6hYWFZghy3333Vfkan332mXm87du3l9pXlwFOamqqGaq88MILVZb917/+ZYZPOTk5pfb5BzgvvvhipceYOHGiIcmIi4srt2/BggXmMX766acq2zJhwgRDkjFo0KBy+/wDnBUrVlR6jLlz55rlqnrvL7zwwikFOL179zYkGWPHjq3yPW3evNk8zuLFi83nv/3224A/l9qKjo42v7vV8f98/T+XvLy8gF7r/vvvNwOgquoUFRWZl9L96U9/Krff7Xabl5W1atXK8Hg85cps3brVbOPEiROrbVt+fr5Z/n/+538Cej8AgDMPixgDAFCBRx99tNQCvBEREbrwwgu1YMECSVKjRo30wQcfVHkJS0ZGhnbu3KlNmzZp48aN2rhxo3kXnc2bN6uoqKhU+YULF5rb99133ym13+v16o477tATTzwhSbrrrrv07rvvVnhZT3Jysrk48YQJE6o8ru8yHklatWrVKbWxKl9++aXy8/Nr1KaioiKtXbu2wjI2m828HXNFfJeDZWRklFsU+eOPP5YknXvuuTr//PMDasuaNWsqXdA4MTFRQ4YMqfQYS5YskSTZ7fZKF7aVpBtuuKHChY8DcfDgQfOzqu7z7dKli3nHJv8+b9Gihbld3SLJtVFQUKATJ05IKr6MLFD+n8mGDRv0yy+/BFTP18+jR4+Wy+WqtJzT6TRv913RGHA4HLr++uslFX/OFS167H+b8eoun5KksLAwhYeHS5JSU1OrLQ8AODMR4AAAUAOJiYn63e9+pw0bNujiiy8ut3/Dhg36zW9+oxYtWqhx48bq0KGDunXrpu7du6t79+76y1/+Iqk4YMnIyChVd926dZKkNm3aVLqWSyDcbreuu+46vfLKK5KkP/3pT/rnP/9Z6cn+Dz/8YG4PHDiw3N2j/H+ioqLMskeOHKl1G6vj36YWLVpU2Sb/NUYqa1N8fLyaNGlS6ev535XIFxqUbcu2bduqbIfNZtPdd98tqXgNlmPHjlX4WtWFQBs3bpRUvGZQVcFFTdeF8ef/+V533XXVvi/f3dP8P9927dqZQdTzzz+vrl276uGHH9bXX3+t3NzcWrXLn//nV5MAp02bNnrwwQfNY1xyySXaunVrlXUyMzPNO3u98sor1X4e8+fPl1T5923y5Mnmtn9YI0mGYZh3PWvWrJkuvfTSgN6X7zNIT08PqDwA4MxDgAMAQAXuvPNObdiwwfzZvn27jh07pn379unFF19UmzZtytV5/fXXdcEFF2j27NkBhRt5eXmlHvtOkv1nNtTGwYMH9f7770uSrrzySj3++ONVlq/tLZ7r4iS9MnXdpoiIiCrr2e0n/yQqO3OmrttSXRjhC/YqWuS6rNouYlxX72nu3LnmbJTNmzfrscce08iRIxUbG6uhQ4dq5syZ5kyqmvKfBVN2rFTn6aefNsO0lJQUjRw5Ujt37qy0fF33cdeuXdWrVy9J0gcffFCq3MqVK7Vnzx5J0qRJk+RwOAJ6Ld9n4JuJAwA4+3AXKgAAKpCQkFDp3WMqsnXrVt1xxx1yu91KSEjQgw8+qBEjRigpKUnR0dHmpUtvvPGGpkyZIqn4X+IrUtvLYnyaNWumDh066Ntvv9Vnn32mGTNm6P7776+0vH9gsWzZsipnqvgLJGCoLV+bQkNDK70sqiKtW7c+bW0ZNGiQZs6cGXC9snfh8gn0hP108u/zd999t9pZQT5lw6dWrVrpu+++05IlS/Thhx9q+fLl5uWBK1as0IoVK/Tss8/qs88+U6dOnWrUxtjYWDmdTrnd7kpnM1XlxRdfVF5enl5//XUdOnRII0eO1MqVK5WYmFiurP/nce+995pjtDqhoaGV7rvpppu0bt06ZWdn66OPPjIv4avp5VNS8Yy9zMxMSbUP7QAADR8BDgAAdWDOnDlyu91yOBxatmyZunTpUmG5spdN+fOtM3Lo0KFTaovL5dLnn3+uyy67TKtWrdIDDzwgh8Ohe++9t8Ly/oFNaGhojYKr08XXpsLCQjVp0uSUZyWdaluOHj2q1NTUevlsfCFJILNCarsein+fl70MrTZGjhypkSNHSiq+xOerr77SrFmz9PXXX2vnzp269tprzUsEA2Wz2RQfH68jR45UOW6qqj9r1izl5eXpvffe0969ezVixAitWLGi3PfJ//PIzc2tk36eNGmSHnzwQbndbr399tuaNGmSCgoK9J///EeS1L17d/Xs2TOgY2VmZsrr9UoiwAGAsxmXUAEAUAc2bdokSerRo0el4Y1Ueu2Rsi644AJJ0r59+7R3795Tak90dLS++OIL9e/fX1Lxosj/+Mc/Kizru9RDkhYtWlTr1zzVmUP+6qpNdcHXll9++eWU+yUQXbt2lSTt3r27ypknx44d065du2r1Gqfz823SpImuvfZaLVmyRFdffbUkaf369dq+fXuNj9W9e3dJCngh4rLsdrvefPNNjRs3TpK0Y8cOXXzxxeblij5NmzZVq1atJElfffVVpbPjaiIhIUGXX365JGnx4sU6cuSIPvnkE3MmTaCzb6TS79/3mQAAzj4EOAAA1AG32y2p6nVhjhw5Yt7ppiKjR482t59//vlTblOjRo305Zdfqm/fvpKk3/3ud3r55ZfLlRs8eLC5iO/MmTOVlZVVq9fzX7OkoKCgVsfwueKKK8zLzp5//nnz8w0GXwghFa+tcrr5ZrJ4vV698847lZZ75513ah00dOjQQeedd54kad68edq3b1+tjlMd33uRVC40CYRvkeRt27aVW1w6UE6nU3PnztWVV14pqXitnksuuaTc3cZ8/bxr1y5zkeJT5QtpPB6P5s6da14+5X+nqkCsWbPG3K7qDmYAgDMbAQ4AAHWgY8eOkor/pXz16tXl9ufm5mrSpElVLsZ68cUXm7ezfumllzRv3rxKyx47diyghV1jYmK0aNEi87hTp07Vq6++WqqMy+XSAw88IKk4ZJo4caJycnIqPeaJEycqnM3jf1lKVQvGBqJVq1a65ZZbJEk//fSTbr/99ipDnJSUFL322mun9JqVGT9+vDmr6uWXX9brr79eZfmNGzeat5uvjbFjx5rrCz366KMVzlzZvn27Hn300Vq/hiRNnz5dkpSfn69x48ZVeTlWQUGB/vWvf5VakHj9+vVav359pXUMw9BXX30lqXh2VlJSUo3b6AsrvF5vlbPXqhMaGqoPPvhAI0aMkFTc9ssvv7xUKPTggw8qLCxMknTHHXdU+3qfffaZfv755yrLXH311eYlcTNnztQXX3whqXis1+SywOTkZElSUlLSaVnnCQDQMBDgAABQB2688UZJxSeaV155pZ588kmtWLFCycnJevnll9WzZ08tXbpUgwYNqvI4b7/9tqKiouT1enXddddp/Pjx+s9//qO1a9cqOTlZ7733nm655Ra1bdtWR48eDahtsbGxWrx4sXr16iXDMHT77bfrjTfeKFVm2rRp5myJzz//XOedd56eeOIJLVu2TOvXr9fKlSv12muv6YYbblCLFi3M26H769WrlzkL589//rMWLVqkX375RTt27NCOHTtqfCehGTNmmGuRvPHGG+rRo4deeOEFffPNN1q/fr2WLVumf/7znxo7dqwSExNrtMBwTTgcDv373/9WVFSUDMPQb3/7W11++eV666239P333+vHH3/UF198oSeeeEKDBg1S9+7dtXz58lq/nsvl0t///ndJxUFd//799fTTT2v16tVavXq1nn76aQ0YMEBer9cMDmtz+dp1111n3u567dq1Ou+88zR9+nQtXrxY69ev17fffqu33npLt956q1q2bKmpU6eWCtHWr1+vXr16qV+/fnrssce0cOFCrV27VqtXr9bcuXN12WWXmUHWmDFjarWO0YUXXmgGIEuWLKlxfX8ul0uffPKJOQa///57jRo1ypw1165dO/M7dOzYMQ0aNEi//e1v9dFHH+nHH39UcnKyPvzwQ/3v//6vOnTooKuuuqramUthYWGaMGGCpOJwt6ioSFLNLp8yDENLly6VJF111VU1e9MAgDOLAQAADMMwjKVLlxqSDEnGI488UuP6jz76qFm/op/777/fmD17tvl49+7dFR7nhx9+MBITE6s8VkX1J0+ebEgy2rZtW+Fx09LSjB49ehiSDLvdbsyZM6fU/tzcXOOmm26q9nUlGe3atavwNaZNm1ZpnaVLl9bwEzWM9PR04/LLLw+oTcOHDy9Xv7rPxCeQfvnpp5+Mjh07BtSWRx99tFz9tm3bGpKMyZMnB/TeH3/8ccNms1V4/IiICGPhwoXGkCFDDEnG5ZdfXq7+7t27zfKzZ8+u8DXcbrcxbdo0w+FwVPueIiMjjdzc3Ao/s6p+Bg8ebKSnpwf0nity++23G5KM9u3bV1nO9/lW19eZmZlGnz59zPZdcsklRn5+vrl/3rx5RqNGjap9X3a73fj666+rbf+3335bql50dLSRk5MT0Hs3DMNYtmyZWXfVqlUB1wMAnHmYgQMAQB15+OGHtXDhQl166aWKi4tTaGioWrdurXHjxmnRokV69tlnAzpO7969tW3bNr344osaMWKEEhISFBISoubNm6t379665557tGrVqhpfktKkSRN99dVX6t69u7xer37zm9+UWmMlPDxcb775pn744Qfdeeed6tq1q2JiYuR0OhUbG6uePXtqypQpmj9/vrZs2VLhazz55JN69dVXNWTIEDVu3PiUb5nduHFjff7551qyZIluueUWdezYUVFRUXI6nWrcuLH69u2rqVOn6rPPPtPixYtP6bWqc/7552vz5s1688039atf/UqJiYlyuVwKDQ1VixYtNGzYME2fPl1r167Vww8/fMqv96c//UnLly/Xr371KyUkJCgsLExt27bVb37zG/3www+68sorzfWKYmJiavUaDodDTz31lDZv3qz7779fvXr1UlxcnBwOh6Kjo9W1a1ddf/31evPNN3X48GGFh4ebdSdNmqSlS5fqj3/8o4YMGaJ27dopIiLC/N5fffXVeu+997R8+XJzjaXamDp1qqTitWlWrVpV6+P4+NaG8t06ffHixfr1r39tzo659tprtWfPHj355JMaNmyYOf4iIiLUvn17jR49Ws8995z27Nmj4cOHV/t6F154oTlTSpJ+/etfKyIiIuD2vvfee5KKZ7gNGDCgJm8VAHCGsRlGHSyzDwAAgHpVVFSkmJgY5eXlafr06XrssceC3aTT5vLLL9eXX36pKVOmnLa1jqzoxIkTatOmjY4fP653331XkyZNCnaTAABBxAwcAACABuijjz4y1xU602dm+BZsfuutt+rlVu5W8Y9//EPHjx9Xly5dNHHixGA3BwAQZAQ4AAAAFrRjx45K9+3Zs0e///3vJUnNmjXTZZddVl/NCor+/ftrwoQJKioq0hNPPBHs5tSLnJwcPffcc5KKb19vt/NnOwCc7ZzBbgAAAADK69y5s6688kqNGjVKXbt2VWRkpFJSUrR06VLNnDlTx48flyQ9++yzcjrP/D/pZsyYoS5duigsLExer/eMDzT27t2rqVOnqnHjxho1alSwmwMAsADWwAEAALCg6m4Nbrfb9fjjj+uhhx6qpxYBAIBgOvP/uQYAAKABWrBggT7//HN99913Onr0qNLT0xUWFqZWrVpp2LBhmjp1qrp16xbsZgIAgHrCDBwAAAAAAACLO7MvHgYAAAAAADgDEOAAAAAAAABYHAEOAAAAAACAxRHgAAAAAAAAWBwBDgAAAAAAgMUR4AAAAAAAAFgcAQ4AAAAAAIDFEeAAAAAAAABYHAEOAAAAAACAxRHgAAAAAAAAWBwBDgAAAAAAgMUR4AAAAAAAAFgcAQ4AAAAAAIDFEeAAAAAAAABYHAEOAAAAAACAxRHgAAAAAAAAWBwBDgAAAAAAgMUR4AAAAAAAAFgcAQ4AAAAAAIDF/T+keTze5+F2RQAAAABJRU5ErkJggg==",
"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 454,
"width": 568
}
},
"output_type": "display_data"
}
],
"source": [
"# The photoabsorption opacity function takes in the packet energy, ejecta density and the fraction of iron group elements\n",
"photoabsorption_opacities = photoabsorption_opacity_calculation(energy= energies, ejecta_density=ejecta_density, iron_group_fraction=x_ige)\n",
"\n",
"plt.plot(energies, photoabsorption_opacities)\n",
"plt.xlabel(\"Packet energies (KeV)\")\n",
"plt.ylabel(r\"$\\alpha_{pa}$ (cm$^{-1}$)\")\n",
"plt.title(\"Photoabsorption Attenuation Coefficient\")\n",
"plt.xlim(5,50)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The different forms of opacity are dominant at different energies which is evident when the opacities are plotted together."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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qV66ckpKStHXrVu3atUuGYWjKlCk6ffq0Fi5cmOOwvoSEBHXu3Fm7du2Sv7+/WrdurbCwMMXHx2vlypU6d+6cJGnq1KmqUaOGXnnllSz7d+TIkTp16pTmzZsnyf5d2Arz3dZOnz6tDh066PTp0woJCVHr1q1VpkwZXbhwQX/88YdiY2MlSW+99ZZq166tBx980G5bheGYSUpKUqdOnczzgCSFhYWpVatW8vf31/79+/X333/rt99+0+DBg3O1zwpi+91xPsYtxH25LAC3isTExExd8xcuXJhp+ZgxY8xlzZo1y7E9Z4eR5LbO8uXLzV/1ixQpYrzzzjs2h4Zs3brVqF27ttn+iBEjbLZn3Tsio8fLvffea0RGRmYql5KSYrz44ouZfik9evRojm26sofSv/71L2PWrFlGbGyszeXp6enGb7/9ZpQsWdJsb82aNXbby00Xb0fqHDp0yAgMDDTLNW7c2Dhw4ECmMmlpacbYsWMz9dB46qmn7K43o0zG+1SyZElj8eLFWcqtXr3aCAoKMsu++eabDm2XPSdPnsy07i+++CJP7dkyYsQIs31PT09j3LhxWX4tP3DggNGoUSOzXFBQkHHkyBGb7SUmJmb6JbpDhw7G/v37s5SLjY3NNLy1bNmydnvzOXtMO3NsOdq2dQ8uT09P480337T52U9LSzP++OMPo0ePHja3x5HzTlRUlFG6dGmzXP/+/bOcEwzDMM6cOWP06tXLLFevXj2bPQOtP+Pe3t6GxWIxbrvtNuOff/7JUnbWrFlGkSJFzPLTp0+3u0+sexvaOx9Zu/32283yTz75pN3eQPHx8casWbOMV155Jcc2c/Kf//zHmDp1arbDNf7880+jatWqZmwzZ860W9bWkCZXymsPpcTExEw96F599dUsZRw95+fn5y4/zhPW50ovLy8jODjYmDt3bpZySUlJ5vPJkyebdQIDA42vvvrKZg+kP/74wyhfvrxZ9sMPP7QZg/XxkfF/+qBBg7L0FEtMTDT69++fad32hpla9xpzVQ8iezHnRw+ljP3w8ssvZ/nMR0dHG+3btzfLVqlSxe6w/sJyzLz66quZ/i8YP358lph37dplxmrdmzkvPZRcvf3uOB/j1kFCCUC+mzlzpvkfWalSpbLMAXL48OFM/9Hv3bs32/YKIqGUlpZmVKtWzazz3XffZVs+KirKKFWqlCFdSz6dPHkySxnrL+ySjNatW9udDyU9Pd1o0qSJWfaDDz6wWS4/51ByxPr16832+vbta7dcfiWUBg4cmOnL6aVLl+y2N27cOLOsh4eH3STJ9Qml7du3221zwoQJZtmaNWs6tF32rFmzJtO6V61alaf2rnfo0KFMSbXs5me6ePFipjnPBg8ebLPcW2+9ZZbp3LlzjvP7WL9frjqmXZ1QWrZsWab34ccff8wxBnscOe9YD3N87LHHsm0vNTXVaNeunVn+p59+ylLm+mFqoaGhxqlTp+y2aZ287ty5s91yziSU4uPjzbJhYWE5zgVX0I4ePWr4+voakoymTZvaLVfYE0qGYWT6nA4ZMiTL8sKQUMqP84T1MW6xWIzVq1dn22ZcXJwREhJiJgZyKr9nzx7zGAkNDbV5AX79MLX+/fvbbe/KlStGWFhYtp9dwyjYhFK5cuWMkSNHOvywNw+h9bEg2U5sZjhz5owREBBglrXXZmE4ZqKjozMliMaOHWu3bGRkpHl8uSKh5MrtL+znY9z4uC0DgHxnPdytf//+8vLKPNq2SpUqatmypfn3jBkzCiw2e+bPn6+DBw9Kutad/+GHH862fJkyZfTcc89Junb3m1mzZuW4jk8++STLvshgsVgydZ+27m5dmDRr1swcdpMxXKKgxMTE6Oeffzb//uijj7IdcvbMM8+oTp06kqT09HRNnDgxx3UMGzZM9evXt7t84MCB5nu4f/9+c8hSbly8eDHT33kdPne9b7/9Vunp6ZKk+vXr68knn7RbtlixYvrwww/Nv3/44QdzqEKGlJQUTZgwQdK1uzx9/fXXdo/nDO+//745vOj777/P1Xbkt7Fjx5rPH3zwQfXr1y/f1nX+/HlzPwQHB+uTTz7Jtrynp6fee+89829H9uGoUaNUrlw5u8uHDBliPnfVecb6cxAaGpplSJm7hYeHm8NCNm7cmKfPrbsFBwebzy9duuTGSGwriPNEnz59dNddd2VbZsqUKebdMyMiInIsX6tWLQ0aNEiSFB0drd9//z3b8t7e3ho3bpzd5b6+vurfv7/5d2H4P/306dP64osvHH7s3bs3xzZLliypN954w+7y0qVLq2vXrubftvZDYTlmfvjhByUnJ0u69j31mWeesVu2fPnyeumll3JcryNcvf2F/XyMGx8JJQD5KjIyMtO8MAMGDLBZ7pFHHjGfz5w507zwdZdFixaZzx29oGzfvr35fO3atdmWrVKliho1apRtmYYNG5rPjx075lAM+eHAgQP64Ycf9Pbbb+vFF1/UU089pSeffNJ8ZCQaoqOjdfLkyQKL6++//za/7IWGhuq+++7LtryHh0emi+eVK1fmuI4+ffpku7xo0aK67bbbJEmGYZhzT+VGxvw0GQIDA3Pdli3Wn8PBgwfn+KWyV69eKl68uCQpOTk503xCkrRp0yZzXpA777xTlSpVyjGGcuXKmXOt7Nq1y7zAKyySk5Mz3X79qaeeytf1LV++3DyGu3Xr5tB73qxZM3NurZzOM1LOx3DNmjXl5+cn6dpnOCEhIcc2c1KyZEmzzZ07d+rPP//Mc5vOOnHihP773//qvffe08svv5zlvHX06FFJ1z6327dvL/D4XMX6mLn+HFIYFMR5wpH/o/P7//RWrVqpTJky2ZYpLP+n56fu3bvnOD9hTvuhsBwz1v8X9O3bV56entmWz+mHR0e5evsLw/kYNzcm5QaQr6yTQzVr1lTjxo1tluvbt6+eeeYZJScnm0moDh06FGSomVhfPC9cuFDbtm3LsY51D46cEiv16tXLsT3riTev7x1SEBYuXKjXX39dW7dudbjOhQsXFBYWlo9R/T/ruJo1a5bjL3iSMvWE27p1qzmBrz0F+T5dP8mxKy7sMxiGkekYtt4P9hQpUkRNmzY1f5nfsmWLOnfubC63/oxcuHAh2x5P1jK+6Br/m9ja1T2x8mLbtm1KSkqSdG0S7mbNmuXr+qz34YEDBxzehxnH7KVLl5SYmKiAgACb5YKDg3P8PFosFhUrVkxXrlyRdO0Yzmsys0iRIurVq5d++OEHpaWlqUOHDnrggQf0wAMPqE2bNvk6qfC6dev0r3/9S2vWrDFvppCTCxcu5Fs8+c06iRQUFOTGSGwriPNETj/OXB/HjBkzzImvsxMZGWk+vxn+T79emzZtMiVNXMEV+6GwHDPW/2c6ctOQSpUqqWTJkjp//nyOZbPj6u135/kYtwYSSgDylfXwNeteSNcrVqyYunXrptmzZ0u6NkzOnQmljLuCSXLoi+f1chp6YD1MwR7rO42kpKQ4HUNejBkzxrwDijMK8hdy6y9tjvyCJ10b6pLh6tWrio+Pz/YirCDfp4zeQBlc2XsnNjY2U2y52V/XX3Rbf0b279+v/fv3Ox1XYRuic/bsWfN5WFiYQ0nKvLDehxs3bszVMJhLly5lm1ByRH6caz755BNt2bJF+/btU0pKin788Uf9+OOPslgsqlmzplq3bq2OHTuqa9euDt1x0RFTpkzRY4895nAiKUNh7NnjKOsL8uvPIYVBQZwnSpYsme3yhISETO/xzJkzXR5DYf8/vaC4Yj8UhmNGyvx/XoUKFRxab/ny5fOcUMqP7XfH+Ri3Doa8Acg3//zzj3lbYYvFkmN3YOuE05w5c9z6JT+vvx6mpqZmu7wwj2FftmxZpmRSq1at9O2332rr1q26cOGCkpKSZFy7qYMMw1CbNm3MsgU5VNG6B4+9C+rrXV8up2OsIN8n6+SNJO3Zs8dlbV/f2yk3++v6feWKX9hz+pwUNOttdPWQQ1vyex+68zxTqlQpbdy4UWPGjMk0h5NhGNq7d68mTpyoBx54QOXKldMHH3ygtLS0PK1v7969Gj58uJlMql+/vj7//HNt3LhR586d05UrVzKdtzLmx5EK9rzlSomJiZl60eQ05ModCuI8kTGcx50xFOb/0wuSK/ZDYThmpMz/b2YMM86Jo/+3Zic/tr+gz8e4tZBQApBvrCfjNgxD4eHhslgsdh89e/Y0y1++fFn//e9/3RD1NdZfCrZt25bpQsSRR2GdH8GRC6ePPvrIfD5s2DCtWbNGjz32mBo0aKDQ0FD5+PhkKu+uxJ/1BX9iYqJDda4vd/0wM3eqUKFCpp5D//zzj8vavj45kpv9df2+sv6MPPvss05/RgzDUNu2bXO/UfnAehtdOeTQHut9+Omnn+ZqH16fiCxMAgMDNXr0aJ08eVIbN27U2LFj1bNnT5UoUcIsc+nSJb366qvq3bu30z2LrH3yySfmRVSXLl20adMmPfXUU2rcuLFKliyZ5Vf3G7lXUoZNmzZluvBr3ry5G6OxrTCcJ66/yI+JiXE6BlcPDYN9heGYuT6Oy5cvO1TH0f9bHV2vK7e/IM/HuLWQUAKQL65evZrpDly54c67vZUuXdp8nnG3t8LIuuu4I709cvrlKy0tTatXr5Z0bRLrd955J8c28zIRdV5Yd1l3NIbjx4+bz729vQtVQknKPAnsr7/+6vCX2JwEBwdnOlZys7+sv3RKN85nxBnW23Ty5Ml870F1M+5DWzw8PNS4cWM9//zzmjt3rs6ePau1a9dm+hHh119/NYc854b1XSbffvvtTMe7LdbH9o3K+m6iHh4eDs2NVtAKwzEeEhKS6YeQm/mzdjMoDMeMlPn/POuegNk5depUnteb39tfEOdj3FpIKAHIF/Pnzzdvg16kSBE1a9bMoYf1RImrV6+22dMnN12qna1jPRnvkiVLnF5fQbFOiERHR+dYfufOndkuv3Dhgq5evSrpWhfpnOYZ2LNnj0MT2ubHcADrO8Vs2LDBoS7af/31V6b6hW2YwogRI8znMTExmjJlikvatVgsatCggfn333//nWOd1NRUbdiwwfz7jjvuyLTc+jOyevVq825lN7IGDRqYPVkuX77s0l5ittwo5xnJtZ/hjOTHnDlz1KlTJ/P13377LddtWs87UqdOnWzLxsbGaseOHTm2WdjOD9YuXLiQ6UeXTp06FaoJ7jMUlvOE9aTKhfmzVpiPuYJSWI4Z6/8zrf8vtOf48eN5nj9JKvjtz4/zMW4tJJQA5Avr4W7dunXT+vXrHXps2rRJ1apVk3RtmJytyTOthy44OrGls3W6detmPv/hhx/MW7gWNpUrVzafb9++Pccuyta/aNvi4fH//y1kzDmSna+++sqBKHP3nuWkRYsW5q/O58+f18KFC7MtbxhGpuPSujdQYdGkSZNMcY0aNSpXwyePHDmiw4cPZ3rNut3p06fn+N7+9ttvZpLS19dXd955Z6blLVu2NC9gExIS9O233zodZ2Hj4+Ojdu3amX9PmDAhX9fXqVMnc+LvQ4cOacGCBfm6vrzIj8+wxWJR165dzb+tJ0V3lvW5K6eefZMmTXJoG/Jjm10hYw4o62GZ//73v90YkX2F5Txh/X/6119/bd7NsbAprMdcQSosx4z1sLFZs2bl+KPV999/75L1umv7XXk+xq2FhBIAlzt//rwWL15s/p3TZNzXsy5va9ib9S1OHe1e7Gyd3r17q2rVqpKuXZwMGDDA4S93CQkJLhlH74hatWqZvZSioqK0dOlSu2UXLlyYY9IlNDTUvOtZbGysOfzNlr/++svhhFJu3rOchISE6MEHHzT/fumll7KdF+WLL77Q9u3bJV27+Bw6dKhL4nC1iRMnmu9BfHy82rdv71S39zlz5qhx48ZZbnM9dOhQ86J7y5Ytmjhxot02YmNj9fLLL5t/9+/fP8vde3x8fPTss8+af48aNSrHHnDWCuuX1eeff958/tNPP+mnn37Kt3WVL19eAwYMMP9+/PHHHf58pKenu+TXcEc58xmOj483ezrmxHr4pSN3XrKnSpUq5vNff/3VbrmDBw86fAfL/Dhv5VVCQoL69eunRYsWma89/PDDhXK4m1R4zhPDhw83L9IjIyP1xBNPODxHzIULFwpskuLCeMwVtMJyzDz00EPmj1ZHjhzR559/brfsqVOnMs0/mReu3n53nI9xayGhBMDlvv/+e3PukaCgoEy/eDjCOqF06NChTMOUJKlevXrm8//+978OfSl0to6np6e++uoreXp6Srp257O77ror29t679ixQ6+++qoqVqyoo0eP5hiTK3h5ealPnz7m30OHDs1yd7CMnl59+/bNMqH29Tw8PNSlSxfz78GDB9vs6j1r1ix16dJFaWlpDt3VxHr/z5s3z+EvNzkZPXq0OeH0gQMH1KlTJx05ciRTmfT0dI0fPz7TF7SRI0dm6t1VmNx2222aPn262XPl6NGjuuOOOzRmzBi7X5STk5O1aNEitW7dWr1797Z5y+TbbrtNw4cPN/9+8skn9cUXX2SZqP3w4cPq2LGj2cMpKChIr7/+us31vvDCC+bwovj4ePOOgPbe3+joaE2aNEmNGjVy2ZdvV+vQoUOmz9SAAQP01ltv2ez1kp6erpUrV6pXr165vjPPe++9p7Jly0q6dlHSpEkT/fe//7U7gf6pU6f02WefqWbNmnmep84Z1p/hnHo6bt68WZUqVdLo0aO1e/dum2XS0tL0/fffa/z48eZr1uceZ1n3QHn++edtDmtasWKF2rZtq/j4eKfPW0uWLHHJ3Zdy68yZM/r4449Vu3btTPu/WbNmmjRpktvickRhOE8EBwfrk08+Mf+eOnWqunfvbt6J9nqGYWjdunV68sknValSJV25csUlceSkSpUq5rF5/Phxh4Za3YwKwzETGhqqZ555xvz7pZde0hdffJHl++Pu3bt1zz33KCYmJsfvWI5y5fa743yMW4uXuwMAcPOxHlbUu3fvLHfXyUnVqlXVtGlT84vU9OnTM/36ev/99+vVV1+VYRhauHCh6tevrxYtWmSaT6hfv35q3Lhxnup06NBBX331lUaMGKG0tDStX79eTZs2VbVq1dSwYUMVK1ZMV65c0ZkzZ7Rt2za3DYt7/fXX9fPPPysxMVEnT55UgwYN1KZNG1WpUkVxcXH6+++/deLECXl6euqbb77RY489lmN7v/76q65cuaJjx46pefPmuvPOO1W9enVdvXpV69atMxNmQ4cO1YEDB7LtySRJ9957r/z9/XX58mVt375dtWrVUtu2bRUSEmLOGdGxY0d17NjRqW2vUqWKJk2apIcfflhpaWlat26datSoodatW+u2225TYmKi1qxZk2lCzebNm+s///mPU+spaD179tTixYvVp08fxcTEKCEhQW+++abeeust3X777brtttsUGhqq+Ph4RUVFaePGjZl6xXl4eNi8YP7444+1adMmbdy4UampqXryySf1wQcfqFWrVgoMDNThw4f1559/mr/Ge3l5afLkyXaTb4GBgfrtt9/UoUMHHT16VHFxcRo2bJheeukl3XnnnSpfvrwsFosuXryovXv3av/+/WaixHpoWWEzadIk82IuLS1No0eP1n/+8x+1bNlSYWFhMgxDp06d0qZNm8xhgbm9I07ZsmX166+/qkuXLrpw4YKioqLUp08flSpVSs2aNVPp0qWVnp6u6Oho7dq1S0eOHHHL3Xd69+6tr7/+WtK1oa5btmzRHXfckel22iNGjNBtt90m6VoC5K233tJbb72l0qVLq2HDhipTpoy8vLx05swZbd68WVFRUWbd1q1bq1+/frmO77nnntPkyZN1/vx5Xbp0SZ07d9Ydd9yh2rVry2KxaMuWLebFVKdOnVSqVCmbQ6qtNWnSRBUrVtSJEyd05swZ1axZUx07dlSJEiXM81aTJk0y9ZTMrUWLFmWajy49PV1xcXGKiYnRnj17bP5IMWTIEH322WdO/x9b0ArLeSIiIkJHjhzR22+/Lelar91Fixapbt26qlu3roKCgpSYmKhTp05p69atiomJcdm6HeXh4aGePXuaw6fatWunzp07q2LFiuYPXMWLF9eoUaPyvK6DBw/qySefdKrOq6++qvLly+d53TkpLMfMmDFjtGLFCm3evFlpaWl68sknzf8L/P39deDAAf31119KT0/X/fffr+jo6Ew3NsktV29/QZ+PcYsxAMCFtm/fbkgyH8uXL89VO59//rnZRnBwsHHlypVMy1977bVM67n+MXXq1Cxt5qaOYRjGH3/8YVSrVi3butaPOnXqGKdOncrSztSpU80ygwYNynEfHD161CxfqVKlbMsuXrzY8Pf3txtTUFCQMXv2bIfbnDdvXrbtSTKGDRtmJCUlGW3atDFfW7lypd02J06caHh4eNhtb/To0ZnKDxo0KMf3JsP8+fON0qVL5/je9O/f30hMTMy2LevyjnB0+3Pj2LFjxuDBgw1PT0+Hjj0PDw+ja9euxrZt2+y2GR8fb/Tt2zfHtsqWLWssWrTIoTijo6ONPn36GBaLxaE4Q0JCjGnTptlsy9nPiTPHiTNtX7582Rg6dKhD+97X19eIi4vL0oYzx8axY8eMu+++2+HzTOnSpY3ff/89SzvOnDcyVKpUyaxz9OhRu+UGDBiQbUwZ27h+/XrDy8vL4W154IEHbO4/Z/39999GiRIlsl1Xz549jZiYGIePm4ULFxo+Pj5223PkGLXH+vhw9OHh4WF06dLFWLp0qUPrcPR4yM/PXQZXniecPU9b+/nnn41y5co5vM+bNm1qJCUlZWln9OjRZpnr//+yZeXKlWb5Nm3a2C134sSJbONz9HNti3XMuXls3bo1S5vOHgvOHGuF4ZiJjo427rrrrmzX2717dyM2NtZo0aKF+dqWLVtstufM/nLF9rvrfIxbBz2UALiUde+ksmXL5vqXogcffFDPP/+8UlNTFRsbq3nz5mX6teTtt99Wy5YtNWXKFG3atElnz57NcSLW3NSRrv3as2/fPs2dO1cLFy7U+vXrdebMGcXFxcnf31+lS5dWzZo11aJFC917772Z7gxSUDp37qx9+/bp448/1pIlS3Ty5El5enqqYsWK6t69u0aMGKGKFSs6PMFzjx49tGvXLo0bN05Lly7ViRMn5OXlpXLlyqlly5aKiIjQXXfd5VSMQ4cOVd26dfX1119r/fr1OnXqlC5fvuyS3hbdunXToUOHNGXKFC1YsEC7d+/WhQsX5Ofnp3Llyqldu3YaOHBgprun3AgqVaqkKVOmaPTo0VqwYIGWLVumffv26cKFC4qNjVVgYKBKlCih22+/XS1atFDfvn1VoUKFbNsMDAzUzz//rGeffVYzZ87UqlWrdPr0aV25ckUlSpRQ3bp11a1bNw0ZMsShYUHStV/MZ82apV27dunHH3/UqlWrdPToUUVHR8vDw0MhISGqWrWq7rjjDnXo0EH33HNPoe9V4efnp4kTJ+r555/XjBkztGLFCh07dkwXL16Ut7e3ypYtq/r16+uee+7Rgw8+mKm3Y25UqlRJy5cv17p16/TLL7/ozz//1MmTJ3Xp0iV5eXkpNDRU1apVU+PGjdWxY0e1bdvWHBZZUGbMmKGuXbvq+++/17Zt23ThwgWbkxs3a9ZM586d0/Lly7V27Vpt3bpVhw8fVnR0tNLS0hQUFKTbbrtNzZs314ABAzLdgSsv7rzzTu3evVuffvqp5s+fbw5/LVu2rBo1aqQBAwaoe/fuTrXZpUsXbd68WRMmTNDatWt1/PhxJSQk5HsvMW9vbwUFBSk4ONjsUdC4cWPdfffdCgsLy9d155fCcp7o27evevTooZ9++klLlizRxo0bdf78eSUkJCggIEDly5dXrVq11Lp1a3Xp0kXVq1d3eQzZCQsL0/bt2zV+/HgtXbpU+/fvV3x8vDmVwK2kMBwzxYsX16pVq/TDDz9o5syZZu+10qVLq379+oqIiFDv3r3NHkMZXHHXRVdsv7vOx7h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Srt7L1NRUo127duZ72b9/f+OXX34xNm3aZKxbt8747LPPjIoVK5rH+6ZNm7LsG+ukTP369Y0iRYoYTz31lLFs2TJj06ZNxo8//mj8/fffZnlHE0otWrQwJBk9e/Y05syZY2zevNlYtGiR0bVrV7NMv379bL5fBw8eNPz9/c3PzsiRI40VK1YYGzduNKZOnWrUrl3b/KyQUEIWziaUWrdubUjXftW4Pits7e+//7b7Yc9Pjz32mCHJmDVrlkvbJaEEAADgeg5dZKSlGUbC+VvrkZbm8n39/fffm99nR40alef2duzYYXh4eBiSjLp16xqXLl3KUmbx4sVmmaZNm2ZZfn1PkU8//TRLmaioKCMoKMiQZJQsWdKwWCzG3Llzs5Tbvn27ua6M3kzWru/B0qVLF5vXM2+99ZZZ5sUXX8yyfOrUqebyo0eP2t45//PAAw+YZSdNmpRleVJSkpmkkGQsWrQoS5mMhJIko1KlSkZkZGSWMmvWrDEsFovdbXfEP//8Y+4/6VrPsgEDBhhfffWVsWXLlmyv/aw9++yzZhsjR4400tPTbZZLTk42zpw5k+m1hIQE4/Tp03bbTk9PNyIiIszr0ZiYmCxlrI+p63sYXc+Z9/Ljjz82JBlFihSx+T4ZxrXecxlJr1atWmVZbp1Q8vDwyLHjhaMJJUnGO++8k6VMenq60bFjRzPZeO7cuSxl7rvvPrONX375JcvyxMTETMmkGz2hxF3e3Gzv3r2SpKpVq8rLy/7bUbNmzSx1XCkuLs6cLynDf//7X02ZMkVNmjTR/fff7/J1AgAAwA2uXJQ+us3dURSslw5LASVc2uSFCxfM56648/NXX32l9PR0SdK3335rc96dzp07a8iQIZo0aZI2bNigjRs3qkmTJjbba9asmZ555pksr5cpU0a9evXS9OnTdf78efXr1089e/bMUq5+/fpq1aqV/vzzT61Zsybb2H18fPTtt9/avJ7597//rVmzZmnXrl2aPHmy3nnnHfn4+GTbni1RUVGaO3euJKlTp0569NFHbcYxZcoUVatWTampqZowYYJ5AyJbxo8fr/Lly2d5vVWrVmrWrJnWr1+f47bb07RpU3399dcaOXKkUlJSFBsbq++++07fffedJCkgIEAtWrRQnz599NBDDykgICBLG5cuXdLEiRMlSXfccYc+++wzu3PueHt7ZzkOAwICbLabwWKxaOzYsZo5c6YSExO1fPly9e7dO1fb64yUlBSNHTtWkvTkk0/afY+KFSumjz76SF26dNHatWt16NAhVa1a1WbZiIgI3XPPPS6Jr1GjRuadG61ZLBY9//zzWrp0qVJTU7Vu3Trdd9995vJTp06Zc3j16tVLDzzwQJY2/P39NXHiRDVo0MAlsbobk3K7UVJSkvkfUYUKFbItW6xYMfNkcPLkSZfH0qxZM3Xs2FHPPPOMXnnlFbVr1059+vRReHi4fvnlF6cn5Y6MjMz2kd3kagAAAEBhFx8fbz7P7qLdUcuXL5ck1a5dW82bN7dbLuMu0NZ1bOnXr5/dZfXr1zefP/jgg3bL3X777ZKuTeycnY4dO6pcuXI2l3l4eGjQoEGSriVItmzZkm1b9qxcuVJpaWmSZDOZlCE8PNxMLKxatcqsc72QkBB17drVbjuNGjWSlPO2Z2fo0KHavn27Bg4cmOUYSUxM1LJlyzRs2DBVq1bN5uTYK1eu1OXLlyVJTz/9dJ5vlJSSkqLIyEjt3btXu3bt0q5du3T69GmFhoZKunb38YKwYcMG83qwb9++2Za96667zOfr1q2zW+7hhx92TXCSHnroIbuJu4zjQsp6bKxatcpMCmcc87bcfvvt5mfrRkcPJTey/k8oMDAwx/IBAQFKTExUQkKCy2N58MEHNWfOHK1fv14pKSmqXLmyXnvtNb300ktZei45IiwszOUxAgAAAIVF0aJFzecZd3rLreTkZB08eFDStR96s9OwYUMVKVJEKSkp2rVrl91y1atXt7vMuveTI+Wsr1tssddLKkPTpk3N57t27dKdd96ZbXlbrLc1p33UrFkzLV68WJcvX9aRI0dUrVq1LGWqVasmDw/7/SuKFy8uKedtz0mtWrU0ffp0TZw4URs2bNA///yjbdu2afXq1YqMjJR0rfdVt27d9Pvvv6tDhw5m3a1bt5rPrRMrzkhJSdHEiRM1c+ZMbd26VVevXrVb1rrXXX7atGmT+dyZY+HMmTN2l1knSfPKenTQ9TKOCynrsWF9jFonnmxp3LhxgSXw8hMJJTdKSkoyn3t7e+dYPqNrqK3bQebVmDFjNGbMGJe3CwAAANyMSpT4/yF0Z8+ezVNbly5dMp/nNHyuSJEiCg0N1ZkzZ7K9fbm/v7/dZdaJFEfKZfS6sKdUqVLZLrfeJkduuW6Ldb2c9lGZMmVyXF922y05vu2O8vHxUevWrdW6dWvztT/++ENPP/20du/erbS0NI0cOVL79u0ze8dYJ3jKli3r9DovXryojh07avPmzQ6Vz4/rTFvOnTuXq3oZvbVsKVasWG7DycLRz871vd+sP8c5fSZKliyZy+gKFxJKbuTr62s+zy5TnCE5OVmS5Ofnl28xuUpOw/KioqIy/VIBAACAAuJX/NqcQrcSv+I5l3GS9ZCV3A7jssXeUBtrhmG4bH2ukFPMBR1vYds/9rRv317Lli1T3bp1dfHiRR04cEDbtm1Tw4YNXdL+M888YyaTevbsqSFDhqh+/foqVaqUfH19zfetYsWKOnnyZIHtN+tEzKpVq8whdznJLkmT1+GAyB0SSm5k3U3WkWFsGV1pHRke5245zQkFAAAAN/HwcPkE1bei2rVrq0SJErpw4YLWrFlj8yY3jrLuXZHdsB5JSk1NNXvdWA+/caecemhZ90jJbczW9c6ePauKFSs6FE9h2Uf2lC1bVl27dtXMmTMlSYcOHTITSta94KKiolS5cmWH242Li9PPP/8s6dqcQN9//73dstY9awqCdQLJ29tbdevWLdD15xfrz/G5c+eyvSY+f/58QYSU75iU2418fX3Nk0TG+Fl7Ll26ZCaUmJ8IAAAAcC+LxaKIiAhJ1374nTRpUq7b8vHxMef5+eeff7Itu3XrVqWkpEhSobkQ37hxo8PLr4/ZkR5Z19fLaR9t2LBB0rWhS84kYdzFekJz6yFVd9xxh/n8zz//dKrNgwcPmsdJdhO079+/P9vODY6+P86Ute6BtXTpUofbL+zq1KljPreeJ8qWnJbfKEgouVmtWrUkXctEp6am2i23b9++LHUAAAAAuM+zzz5rzrfyxhtvZPrOnp309HTz9vEZMiZj3rNnj9avX2+3rnXiynoCZ3daunSp3bs4p6ena/r06ZKu9eCwTpJImacByZjiw5a2bduaw5omT55st9yJEye0bNkys46Xl3sG5TgzfMw6uWCdAGvXrp15d7jx48fbvWOdLdbXltnNPfT1119n246j748zZVu1amX2HPv6668VFxeXbbs3inbt2pkJwRkzZtgtt3379ptiQm6JhJLbtWrVStK1XzWymyxt9erV5vOWLVvme1wAAAAAsle+fHlNmDBB0rXv823atMn0vd2WPXv2qFOnTvr4448zvT5ixAjzYnTYsGGKjY3NUnfp0qVmMqVp06Y53l2toCQnJ2v48OE2Ex4ffPCBdu7cKUkaMmSIeaOhDNaTTR8+bH9ur3LlyqlXr16SpCVLlmjKlClZyly9elVDhgwxe+Y8+eSTzm+Mi9x///368ssvc7wD4LRp07RixQpJ1+Yysu69ExISouHDh0uSNm/erGeffdZuoiolJSXT0MKqVauaPYbsJTcWLFig8ePHZxufo++PM2V9fX314osvSro2xLNfv37Z7qf4+Hjzc1aYlS9fXl27dpUkzZ07V//973+zlLly5YqGDRtW0KHlG+ZQcrOePXvq/ffflyRNnTrV5i0w09PTzZNASEiI2rVrV6AxAgAAALBt8ODBioyM1BtvvKFz586pbdu26tixo3r06KFatWopJCTEnHB54cKF+v3335WWlpZpUm9Jqlevnl544QV99NFH2rlzp+644w698soratiwoS5fvqz58+fr888/V1pamry9vfXNN9+4aYuzaty4sebPn6+WLVvqueeeU7Vq1XTu3DlNnz5dP/30k6Rrc6y+/vrrWeo2bNhQvr6+SkpK0uuvvy4vLy+Fh4ebybXy5cubNyX65JNPtGLFCl26dEmPPfaY/vrrL/Xr10/FixfXvn379PHHH2vbtm2SpL59++ree+8tmB1gw8mTJzVy5Ei98sor6t69u+666y7VqFFDxYoVU1JSkvbt26dffvlFixYtknRtuNgnn3ySZdjY22+/rWXLlmnnzp2aMGGC1q1bp+HDh6tevXry9vZWZGSk1q5dqx9++EHvvPOOOQwzNDRUXbp00cKFC7Vo0SJ17txZw4cPV8WKFXXu3DnNnj1b06ZNU5UqVRQTE2N3Tp+KFSuqQoUKioyM1Mcff6zy5curRo0aZs+v0qVLm3MDO/Nevvzyy1qxYoVWrFihxYsXq3bt2nr88cd15513KiQkRPHx8dq/f79WrVqlefPmydfX160JQkeNGzdOK1as0OXLl9WvXz+NGDFC999/v4KCgrRr1y795z//0Z49e9SkSZMch4reEAy41NGjRw1JhiRj0KBBDtVp3bq1Icnw8vIy/v777yzL//Of/5htjh492rUBu8nJkyfNbTp58qS7wwEAALgpHDhwwNizZ49x4MABd4dyy5k9e7YRHh5ufsfN7lGnTh1jyZIlWdpIS0sznnjiiWzrBgcH26xrGIaxcuVKs9zKlSvtxjp16lSz3NGjR+2WGz16tFnuetbXPVOnTjUiIiLsxly2bFlj9+7ddtfz8ssv2617/XZs2bLFKFeuXLb76P777zeuXLlic11t2rQxJBlt2rSxG09O2+6IHj16OHQsZLynM2bMsNvW+fPnjbvuuivHdqZOnZqp3okTJ4yKFSvaLV+xYkVj9+7dRqVKlbK9fv3yyy8dXqcz7+Xly5eNgQMHOrSPKleunCUuZ9+j7LbT0c+OYRg5XpsvXbrUCAgIsLsto0ePNl5//XVDkuHr6+tQ7Ndz9lyfX9ff9FDKo7Vr1+rQoUPm3xcuXDCfHzp0SNOmTctUPiNjbO2zzz5Ty5YtdeXKFXXs2FGjRo1Su3btdOXKFf3000+aOHGiJKl69ep64YUX8mU7AAAAAOTe/fffr27duum///2vFi9erI0bN+rcuXOKj49XUFCQwsPD1bx5c/Xu3Vvt2rWzOYGxh4eHvvjiC/Xr10/ffPON1qxZo7Nnz8rHx0dVqlRRly5d9Oyzz6pkyZJu2MLsTZ06VR07dtTEiRO1c+dOJSQkqFKlSurZs6f+9a9/ZboD1vU++OADVatWTTNmzNDu3bsVGxtrd76ghg0bav/+/ZowYYLmzZun/fv36/LlyypRooSaN2+uiIgIde/ePb8202EZsS1ZskR//fWXdu/ercjISCUkJMjX11ehoaGqW7euOnbsqIcffjjTHd2uV6JECa1evVpz587VDz/8oPXr1+v8+fPy9/dX+fLldfvtt6tv377q3LlzpnphYWHasmWLPvzwQ/366686fvy4fH19FR4erp49e+qZZ57J9n3JMGLECJUuXVrffPONtm3bposXL9qd/9eZ99LPz0/Tp0/X008/rcmTJ+vPP/9UZGSkEhMTFRgYqPDwcDVq1Ej33nuvunXrlmOchcU999yjXbt26YMPPtDvv/+uqKgoFStWTI0bN9ZTTz2lTp066dlnn5UkBQcHuzfYPLIYhhOzhSGLiIgIc5I5R9jb3fPnz9eAAQPsTkhWvXp1LVy4UFWrVs1VnIVNZGSkebe6kydPZntLRQAAADjm4MGDSk1NlZeXl3nXMCA/HDt2zJxAeurUqTZ/OAdgW4cOHbRixQq1atVKa9ascbq+s+f6/Lr+ZlLuQqJ79+7asWOHnnvuOVWvXl3+/v4KCQlR48aN9eGHH2rr1q03TTIJAAAAAIBb0enTp/Xnn39Kkpo3b+7maPKGIW95NG3atCzD2nKrUqVKGjdunMaNG+eS9gAAAAAAQME5dOiQ3c4gV65cUUREhHknwoEDBxZkaC5HQgkAAAAAAMAFHnvsMSUmJqpv375q1KiRihcvrvj4eG3atElffvmlOQfzo48+qnr16rk52rwhoQQAAAAAAOAimzZt0qZNm+wu79Wrl8aPH1+AEeUPEkoAAAAAAAAuMG7cOM2dO1d//PGHIiMjdf78eRmGoVKlSql58+YaOHCgunbt6u4wXYKEEgAAAADAKeHh4XbvYA3cyu644w7dcccdevvtt90dSr7jLm8AAAAAAABwCgklAAAAAAAAOIWEEgAAAAAAAJxCQgkAAAAAAABOIaEEAAAAAAAAp5BQAgAAAAAAgFNIKAEAAAAAAMApJJQAAAAAAADgFBJKAAAAAAAAcAoJJQAAAAAAADiFhBIAAAAAAACcQkIJAAAAAAAATiGhBAAAAABuEhERIYvFovDwcHeHcsOZNm2aLBaLLBaLjh075u5wbkqrVq0y9/GqVavcHQ4KGRJKAAAAAJBL1hfc1z/8/PwUFhambt26adKkSUpKSnJ3uADgMiSUAAAAACAfJCUlKTIyUgsXLtTQoUPVoEEDHThwwN1h2ZWRCBszZoy7Q0E+OnbsmPleT5s2zd3h4Abm5e4AAAAAAOBmMGLECD3xxBPm35cvX9a2bdv06aefau/evdq/f786d+6s3bt3y8/Pz42RAo5p27atDMNwdxgopOihBAAAAAAuUKpUKdWtW9d8NG3aVMOGDdPmzZvVtGlTSdLRo0c1efJkN0cKAHlHQgkAAAAA8pGfn5/effdd8+/Fixe7MRoAcA0SSgAAAACQz5o3b24+P378uN1yMTExeuONN1SnTh0FBAQoJCREd911l77//nuH1rNz504NGzZM1apVk7+/v4oWLao6deroueees3sntPDwcFksFvPvN998M8sE4xERETbrzp8/Xw888IAqVKggHx8fhYaG6s4779QHH3yghISEbGM9cuSIxo4dq+7duys8PFx+fn7y8/NTpUqV9OCDD+r33393aJszJCcn6+OPP9Ydd9yh4OBgBQUFqVmzZvriiy+UlpaWbd3Nmzfr0UcfVfXq1RUQECBfX1+FhYWpUaNGGjlypH777bdsh37ldj9cf6e65ORkffrpp2revLlKlCiRZU6rjPcq4/3YuHGj+vfvr7CwMDPmiIgI7d271+b6LBaLKleubP49ePDgLO+19focvctbQkKCPvjgA915550qXry4fHx8VKFCBT3wwANasGCB3XrStWF1FotFbdu2lSSdOnVKzz//vKpWrSo/Pz+FhoaqU6dOJGILIwNwg5MnTxqSDEnGyZMn3R0OAADATeHAgQPGnj17jAMHDrg7lFvGypUrze+1o0ePtlvuypUrZrmaNWuarw8aNMiQZFSqVMnYu3evER4ebpa7/jFy5MhsY3nvvfcMDw8Pu/V9fHyM6dOnZ6lXqVIlu3UyHoMGDcqyPb169cq2Trly5YytW7fajPXIkSM5rlOSMWDAACMlJcVmG1OnTjXLbdmyxWjUqJHddlq1amXExcXZbGfcuHHZ7reMR3x8fJa6ed0P1tuwceNGo0GDBlnqWx9XGe/VoEGDjMmTJxteXl523+uffvopy/oc2efW67M+vleuXGlzG7Zs2WKUK1cu2zbvv/9+48qVKzbrt2nTxpBktGnTxlizZo0RGhpqt52PPvrIZhu3GmfP9fl1/U0PJQAAAADIZzt27DCflytXLsvyy5cv67777lN0dLRee+01rVq1Sps2bdK3336rChUqSJK++OILLVmyxGb7X375pUaNGqX09HSVLFlSH3/8sdatW6e1a9dqzJgxCggIUHJysiIiIrRo0aJMdZcuXaqdO3eaf48YMUI7d+7M9LAesidJgwYN0ty5cyVJt99+u2bMmKGNGzdqyZIlZq+X06dP6+6779apU6eyxJuWliZvb291795dn3/+uZYvX64tW7Zo+fLl+vLLL1WnTh1J0nfffae33347x/07fPhwbd68WQ8++KAWLVqkTZs26YcfflCTJk0kSWvXrtXDDz+cpd6OHTv04osvKj09XZUrV9bYsWO1YsUKbd26VWvWrNGUKVP0yCOPKDAw0OZ687ofrD366KPavn27Bg4cqIULF2rz5s2aO3eumjVrlqXstm3b9Pjjj6tUqVIaP368/vnnH61evVqvvPKKfHx8lJycrAEDBmjDhg2Z6u3cuTPTMfTOO+9kea+tJ5bPyalTp3T33Xfr9OnTslgsGjx4sJYsWaJNmzZpxowZuv322yVJc+bM0aBBg7JtKyoqSr169ZKnp6c++OADrV27Vhs2bNC4ceMUEhIiSXr11Ve1e/duh+NDPnNZagpwAj2UAAAAXM+RX63T0tOM6CvRt9QjLT0t3/a5oz2UevToYZZ76623zNczeihJMkJCQoxdu3ZlqXvw4EHD19fXkGTcd999WZafO3fO8Pf3N3vDnDhxIkuZLVu2GAEBAYYko3z58sbVq1ezlHFkOwzDMBYsWGCWvfvuu43k5OQsZSZOnGiW6du3b5blCQkJxunTp+2uIz093YiIiDAkGQEBAUZMTEyWMta9eyQZ7733XpYyKSkpRqdOncwyCxYsyLT89ddfN9dx5swZu/HExMQYaWmZjyNX7Ifrt2Hy5Ml2YzCMzL3JKlWqZERFRWUp88cff5g9lxo3bpxl+dGjR802pk6dmu36cuqh9MADD5jLJ02alGV5UlKS0a5dO7PMokWLspTJ6KGUsU2RkZFZyqxZs8awWCyGJOPpp5/ONuZbQWHpoeSVDzkqAAAAAIVUTHKM2vzcxt1hFKjVD65Wcd/iBb7eK1euaNu2bXr//fc1f/58SVJQUJAef/xxm+Xfeusts2eOtapVq6pnz5766aeftGbNmizLp06dqsuXL0uSxo4dq7CwsCxlGjZsqFdffVWvvfaaTp06pXnz5qlPnz652q4vvvhCklSkSBFNnTpV3t7eWcoMHTpUs2bN0vLlyzVnzhxFRUWpbNmy5vKAgAAFBATYXYfFYtHYsWM1c+ZMJSYmavny5erdu7fd8vXr19crr7yS5XUvLy9NmjRJVapUUUpKir788kt17drVXH7mzBlJUvXq1VW6dGm77QcHB2d5zRX7wVr79u01ZMgQuzFcb+zYsSpTpkyW19u1a6ehQ4fqq6++0qZNm7Rx40azp5YrRUVFmb2zOnXqpEcffTRLGR8fH02ZMkXVqlVTamqqJkyYoHvvvddum+PHj1f58uWzvN6qVSs1a9ZM69evt/kZgHsw5A0AAAAAXOD6yaz9/f3VokWLTMmk2bNnq2TJklnqWiwWPfTQQ3bbbtSokSTp0qVLiomJybRs+fLlkqSQkJBsky6PPfZYljrOSk1N1erVqyVJ99xzj83kVYahQ4eadbKb0FmSUlJSFBkZqb1792rXrl3atWuXTp8+rdDQUEnS9u3bs60/aNAgeXjYvrytUKGCOnbsKOnaJNPWE3RnJHf27NmTZXhYdvJjP9gakmdPsWLF1KNHD7vLrRNTuX2vc7Jy5UpzX9pKJmUIDw/XPffcIynr/rcWEhKSKdl3vYzPwJEjR3IbMlyMhBIAAAAA5KOwsDA99dRT2rlzpzp06GCzTIkSJczkiS3Fi/9/D6v4+PhMy3bt2iXpWi+kIkWK2G2jdOnSCg8Pz1THWUeOHDF7Q9ma28ea9XJb60tJSdEXX3yh5s2bKzAwUGFhYapdu7bq1atnPs6dOydJunDhQrbryqkHTtOmTSVdm6vKOiHRv39/FSlSRMnJyWrZsqW6d++ur7/+Wrt37872rm6u3A8Z6tevn2071ho2bCgvL/sDjho0aGD2mMrte50T63Yd3QfX739r1apVs5sUlP7/M3D98Q/3YcgbAAAAALjAiBEjMk1o7Ovrq9DQUBUrVizHuv7+/tkut77Qvr6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GjRunDRs2KCYmJkt9pZTy/NkSKJUrV06vv/66ZRvPPPOMjh07lu6YmzdvWp6cN3369AzPx6JFiySl/fPWt29fy+uU4ZEkGYZheapgyZIl1apVq0wdV/I5uHr1aqbqAQB5B4ESAACPkCFDhujQoUOWjxMnTujatWs6c+aMPv/8c5UrVy7VmFmzZumJJ57QnDlzMhW2xMbG3vd58h/tKWd+ZMXff/+t//3vf5Kkdu3aacKECenWZ/WR7tkRGqQlu3vy8PBId5yDw//9U+/BmUXZ3UtG4Uhy0Ght0fYHZXVR7uw6pgULFlhm6xw5ckTvvfeeWrRoIW9vbzVp0kRff/21ZaaZrVLOEnrwdyUjkyZNsoR7UVFRatGihf78888067P7exwcHKxatWpJkhYvXnxf3datW3Xq1ClJUs+ePeXo6JipfSWfg+SZSgCA/IOnvAEA8Ajx9fVN8+lM1hw7dkwvv/yyEhMT5evrq9dff13NmzeXv7+/vLy8LLeazZ49WwMGDJB0b6aCNVm9jSlZyZIlVbFiRf36669asWKFpkyZohEjRqRZnzJA2bRpU7ozeVLKTOCRVck9ubi4pHkbmzVly5bNsV4aNmyor7/+OtPjHnzKXbLMBgg5KeX3/Lvvvstw1lSyB8OwMmXKaPv27Vq/fr2WLFmizZs3W27n3LJli7Zs2aLJkydrxYoVCgwMtKlHb29vOTk5KTExMc3ZXun5/PPPFRsbq1mzZun8+fNq0aKFtm7dKj8/v1S1Kc/H8OHDLb+jGXFxcUnzvRdeeEH79u3TnTt3tHTpUsstl7be7ibdm9F48+ZNSVkPEQEA9kOgBAAA0hQWFqbExEQ5Ojpq06ZNCgoKslr34G1uKSWvU3P+/PmH6sXNzU0rV65U69attWPHDo0cOVKOjo4aPny41fqUAZKLi4tNQVpOSe4pPj5exYoVe+hZWw/by6VLl3T58uVcOTfJoU1mZs1kdT2dlN/zB28bzIoWLVqoRYsWku7dkrVu3TrNmDFDGzZs0J9//qlu3bpZbunMLJPJpOLFi+vixYvp/t6kN37GjBmKjY3V999/r9OnT6t58+basmVLqp+nlOcjJiYmW77PPXv21Ouvv67ExER9++236tmzp+7evasff/xRklStWjXVrFkzU9u6efOmzGazJAIlAMiPuOUNAACk6ffff5ck1ahRI80wSbp/7ZoHPfHEE5KkM2fO6PTp0w/Vj5eXl1atWqV69epJurfI93//+1+rtcm35kjSmjVrsrzPh51ZlVJ29ZQdknv5448/Hvr7khnBwcGSpJMnT6Y7M+fatWv666+/srSPnDy/xYoVU7du3bR+/Xp16NBBkrR//36dOHHC5m1Vq1ZNkjK9sPaDHBwcNHfuXHXu3FmSFBkZqZYtW1puL01WokQJlSlTRpK0bt26NGcP2sLX11dt2rSRJK1du1YXL17UsmXLLDONMjs7Sbr/+JPPCQAg/yBQAgAAaUpMTJSU/rpCFy9etDxJypqQkBDL608//fSheypcuLBWr16tOnXqSJL+9a9/adq0aanqGjVqZFmU+uuvv9atW7eytL+Ua97cvXs3S9tI1rZtW8ttgp9++qnl/NpDcigi3VubJ6clz/Qxm82aP39+mnXz58/PcvBRsWJFValSRZK0cOFCnTlzJkvbyUjysUhKFeJkRvKi38ePH0+1WHpmOTk5acGCBWrXrp2ke2s9PfPMM6me5pf8ff7rr78si24/rOTQKCkpSQsWLLDc7pbySXCZsXv3bsvr9J4QCADImwiUAABAmipVqiTp3kyCnTt3pno/JiZGPXv2THdx4ZYtW1oeX//FF19o4cKFadZeu3YtUwsVFylSRGvWrLFsd+jQofrmm2/uq3Fzc9PIkSMl3Qu9unfvrujo6DS3efv2bauznVLeRpTeAsiZUaZMGfXv31+SdODAAQ0ePDjdUCkqKkozZ858qH2mJTQ01DLrbNq0aZo1a1a69YcPH1Z4eHiW99epUyfL+lTjx4+3OrPnxIkTGj9+fJb3IUljx46VJMXFxalz587p3j539+5dffXVV/ctsL1//37t378/zTGGYWjdunWS7s1e8/f3t7nH5PDEbDanO7svIy4uLlq8eLGaN28u6V7vbdq0uS+kev311+Xq6ipJevnllzPc34oVK3Tw4MF0azp06GC5hfHrr7/WqlWrJN37XbflNs6IiAhJkr+/f46sEwYAyFkESgAAIE19+vSRdO8P33bt2mnixInasmWLIiIiNG3aNNWsWVMbN25Uw4YN093Ot99+K09PT5nNZvXo0UOhoaH68ccftXfvXkVEROj7779X//79Vb58eV26dClTvXl7e2vt2rWqVauWDMPQ4MGDNXv27PtqRo0aZZlNsnLlSlWpUkUffvihNm3apP3792vr1q2aOXOmevfurdKlS+udd95JtZ9atWpZZim99dZbWrNmjf744w9FRkYqMjLS5id1TZkyxbKWzezZs1WjRg1NnTpV27Zt0/79+7Vp0yZ9+eWX6tSpk/z8/GxaMNsWjo6O+uGHH+Tp6SnDMPTSSy+pTZs2mjdvnnbt2qXffvtNq1at0ocffqiGDRuqWrVq2rx5c5b35+bmps8++0zSveCwXr16mjRpknbu3KmdO3dq0qRJql+/vsxmsyXIzMrthj169LA83n7v3r2qUqWKxo4dq7Vr12r//v369ddfNW/ePA0cOFCPPfaYhg4del+ot3//ftWqVUt169bVe++9p+XLl2vv3r3auXOnFixYoNatW1uCteeeey5L62A99dRTlkBm/fr1No9Pyc3NTcuWLbP8Du7atUvPPvusZVZhQECA5Wfo2rVratiwoV566SUtXbpUv/32myIiIrRkyRK98cYbqlixotq3b5/hzC5XV1d17dpV0r2wOSEhQZJtt7sZhqGNGzdKktq3b2/bQQMA8gYDAAAUaBs3bjQkGZKMt99+2+bx48ePt4y39jFixAhjzpw5ls9PnjxpdTt79uwx/Pz80t2WtfF9+/Y1JBnly5e3ut0rV64YNWrUMCQZDg4ORlhY2H3vx8TEGC+88EKG+5VkBAQEWN3HqFGj0hyzceNGG8+oYVy9etVo06ZNpnpq1qxZqvEZnZNkmfm+HDhwwKhUqVKmehk/fnyq8eXLlzckGX379s3UsU+YMMEwmUxWt+/h4WEsX77caNy4sSHJaNOmTarxJ0+etNTPmTPH6j4SExONUaNGGY6OjhkeU6FChYyYmBir5yy9j0aNGhlXr17N1DFbM3jwYEOSUaFChXTrks9vRt/rmzdvGk8++aSlv2eeecaIi4uzvL9w4UKjcOHCGR6Xg4ODsWHDhgz7//XXX+8b5+XlZURHR2fq2A3DMDZt2mQZu2PHjkyPAwDkHcxQAgAA6Ro3bpyWL1+uVq1aqWjRonJxcVHZsmXVuXNnrVmzRpMnT87UdmrXrq3jx4/r888/V/PmzeXr6ytnZ2eVKlVKtWvX1quvvqodO3bYfAtRsWLFtG7dOlWrVk1ms1kvvvjifWv0uLu7a+7cudqzZ4+GDBmi4OBgFSlSRE5OTvL29lbNmjU1YMAALVq0SEePHrW6j4kTJ+qbb75R48aN5ePjI0dHR5t6fJCPj49Wrlyp9evXq3///qpUqZI8PT3l5OQkHx8f1alTR0OHDtWKFSu0du3ah9pXRqpXr64jR45o7ty56tixo/z8/OTm5iYXFxeVLl1aTZs21dixY7V3716NGzfuofc3ZswYbd68WR07dpSvr69cXV1Vvnx5vfjii9qzZ4/atWtnWe+qSJEiWdqHo6OjPvroIx05ckQjRoxQrVq1VLRoUTk6OsrLy0vBwcHq1auX5s6dqwsXLsjd3d0ytmfPntq4caPefPNNNW7cWAEBAfLw8LD83Hfo0EHff/+9Nm/ebFmjKyuGDh0q6d7aRjt27MjydpIlry1WvXp1SfcWzO7SpYtl9lC3bt106tQpTZw4UU2bNrX8/nl4eKhChQoKCQnRJ598olOnTqlZs2YZ7u+pp56yzCSTpC5dusjDwyPT/X7//feS7s0ArF+/vi2HCgDII0yGkQ2PewAAAACyQUJCgooUKaLY2FiNHTtW7733nr1byjFt2rTR6tWrNWDAgBxbKysvun37tsqVK6cbN27ou+++U8+ePe3dEgAgC5ihBAAAgDxj6dKllnWpCvrMleQFyOfNm6fTp0/buZvc89///lc3btxQUFCQunfvbu92AABZRKAEAACAXBMZGZnme6dOndK///1vSVLJkiXVunXr3GrLLurVq6euXbsqISFBH374ob3byRXR0dH65JNPJEmTJk2SgwN/jgBAfuVk7wYAAADw6KhcubLatWunZ599VsHBwSpUqJCioqK0ceNGff3117px44YkafLkyXJyKvj/VJ0yZYqCgoLk6uoqs9lc4AOW06dPa+jQofLx8dGzzz5r73YAAA+BNZQAAACQa0wmU7rvOzg4aMKECRo9enQudQQAALKi4P9vHwAAAOQZ4eHhWrlypbZv365Lly7p6tWrcnV1VZkyZdS0aVMNHTpUVatWtXebAAAgA8xQAgAAAAAAgE0K9k3aAAAAAAAAyHYESgAAAAAAALAJgRIAAAAAAABsQqAEAAAAAAAAmxAoAQAAAAAAwCYESgAAAAAAALAJgRIAAAAAAABsQqAEAAAAAAAAmxAoAQAAAAAAwCYESgAAAAAAALAJgRIAAAAAAABsQqAEAAAAAAAAmxAoAQAAAAAAwCYESgAAAAAAALAJgRIAAAAAAABsQqAEAAAAAAAAmxAoAQAAAAAAwCYESgAAAAAAALAJgRIAAAAAAABs8v8A8tF7k2z03zEAAAAASUVORK5CYII=",
"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 455,
"width": 586
}
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(energies, pair_creation_opacities, label = \"Pair Creation\")\n",
"plt.plot(energies, compton_opacities, label= \"Compton Scattering\")\n",
"plt.plot(energies, photoabsorption_opacities, label= \"Photoabsorption\")\n",
"plt.xlabel(\"Packet energies (KeV)\")\n",
"plt.ylabel(r\"$\\alpha$ (cm$^{-1}$)\")\n",
"plt.title(\"Attenuation Coefficients at Different Energies\")\n",
"plt.yscale(\"log\")\n",
"plt.xscale(\"log\")\n",
"plt.xlim(left = 100)\n",
"plt.legend()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'Fraction of Total Attenuation Coefficient')"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 433,
"width": 567
}
},
"output_type": "display_data"
}
],
"source": [
"total_opacity = pair_creation_opacities + compton_opacities + photoabsorption_opacities\n",
"frac_pair_creation = pair_creation_opacities / total_opacity\n",
"frac_compton_scattering = compton_opacities / total_opacity\n",
"frac_photoabsorption = photoabsorption_opacities / total_opacity\n",
"\n",
"plt.plot(energies, frac_pair_creation, label = \"Pair Creation\")\n",
"plt.plot(energies, frac_compton_scattering, label = \"Compton Scattering\")\n",
"plt.plot(energies, frac_photoabsorption, label = \"Photoabsorption\")\n",
"plt.xscale(\"log\")\n",
"plt.xlim(left = 100)\n",
"plt.legend()\n",
"plt.xlabel(\"Packet energies (KeV)\")\n",
"plt.ylabel(\"Fraction of Total Attenuation Coefficient\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note that the above graphs may not be the same for every simulation. For example if the number density of electrons is much larger, Compton Scattering can be the the dominant source of opacity for this entire energy range."
]
}
],
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