{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Chapter 4 [Spectroscopy](CH4_00-Spectroscopy.ipynb)\n", "\n", "\n", "
\n", "\n", "# EDS Detector Efficiency \n", "\n", "\n", "[Download](https://raw.githubusercontent.com/gduscher/MSE672-Introduction-to-TEM/main/Spectroscopy/CH4_15-Detector.ipynb)\n", " \n", "\n", "[![OpenInColab](https://colab.research.google.com/assets/colab-badge.svg)](\n", " https://colab.research.google.com/github/gduscher/MSE672-Introduction-to-TEM/blob/main//Spectroscopy/CH4_15-Detector.ipynb)\n", "\n", "part of \n", "\n", " **[MSE672: Introduction to Transmission Electron Microscopy](../_MSE672_Intro_TEM.ipynb)**\n", "\n", "\n", "**Spring 2024**\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Gerd Duscher Khalid Hattar
Microscopy Facilities Tennessee Ion Beam Materials Laboratory
Materials Science & Engineering Nuclear Engineering
Institute of Advanced Materials & Manufacturing
The University of Tennessee, Knoxville
\n", "\n", "Background and methods to analysis and quantification of data acquired with transmission electron microscopes." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load relevant python packages\n", "### Check Installed Packages" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "done\n" ] } ], "source": [ "import sys\n", "import importlib.metadata\n", "def test_package(package_name):\n", " \"\"\"Test if package exists and returns version or -1\"\"\"\n", " try:\n", " version = importlib.metadata.version(package_name)\n", " except importlib.metadata.PackageNotFoundError:\n", " version = '-1'\n", " return version\n", "\n", "if test_package('pyTEMlib') < '0.2024.2.3':\n", " print('installing pyTEMlib')\n", " !{sys.executable} -m pip install --upgrade pyTEMlib -q\n", "\n", "print('done')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## First we import the essential libraries\n", "All we need here should come with the annaconda or any other package" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "notebook version: 2023.01.22\n" ] } ], "source": [ "%matplotlib widget\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import sys\n", "import os\n", "if 'google.colab' in sys.modules:\n", " from google.colab import output\n", " from google.colab import drive\n", " output.enable_custom_widget_manager()\n", "\n", "from pyTEMlib.xrpa_x_sections import x_sections\n", "\n", "__notebook_version__ = '2023.01.22'\n", "print('notebook version: ', __notebook_version__)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bremsstrahlung and EDS Background\n", "\n", "At low energies, the [Bremsstrahlung](CH4_13-Bremsstrahlung.ipynb) above does not look anything like the background we obtain in the EDS spectrum.\n", "\n", "This is due to the response of the EDS detector system\n", "\n", "![Detector_Efficiency](./images/DetectorEfficiency.png).\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Detector Response\n", "\n", "The detector response depends on the material. The detected X-ray photons need to be absorbed in the Si detector. This absorption is then dependent on the silicon aborption coefficients (per energy).\n", "Everything that absorbs X-ray photons before it reaches the detector crystal will weken the signal according to the photoabsorption in that material layers. Obviously we want to keep the thicknesses of those layers as thin as possible.\n", "\n", "Let's look at the design of a detector:\n", "\n", "![detector overview](images/Bruker3b.jpg)\n", "\n", "![detector details](images/Bruker.jpg)\n", "\n", "For the detector there is actually only one type common anymore (the liquid notrogen cooled Si(Li) detectors are phased out) and that is the Silicon droft detector (SDD):\n", "\n", "![detector crystal](images/SDD2.jpg)\n", "\n", "In front of the detector is usually a window. Only high vacuum system can have a window-less system otherwise ice would build up on the Peltier-cooled detector crystal.\n", "This window is rather fragile and relative expensive to replace so be carfull with handling the detector system on that end.\n", "\n", "\n", "![detector window](images/Window2.jpg)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Signal - Photoelectric absorption of X-ray photon.\n", "\n", "Whole energy of X-ray photon is transferred to inner shell electron of a silicon atom.\n", "\n", "This ejected electron has now the kinetic energy of the X-ray photon minus its binding energy in the atom (K: 1838 eV, L: 98 eV)\n", "\n", "The ejected electron undergoes inelastic scattering and creates electron hole pairs (valence to conduction band) in the process (besides other effects)\n", "\n", "Charge generation process requires about 3.6 eV per electron hole pair\n", "\n", "So the number of created charge carriers $𝑛$ is proportional to the original photon energy $𝐸_𝑝$:\n", "\n", "$$ n = \\frac{E_p} {3.6 eV} $$\n", "\n", " \n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Detector Efficiency\n", "### Photoabsorption \n", "If we only look at the crystal we see that we have a contact and the Silicon crystal. However there is also a thin deadlayer on the top of the crystal that will absorb X-rays without detecting it.\n", "We will talk more about detectors in the **EDS resolution section**\n", "\n", "Detection and wekening of the signal through absorption are both governed by photoabsorption cross section.\n", "\n", "The mass absorption coefficiencts $ \\mu/ \\rho$ (a function of energy) are taken from the [Mass Absorption Coefficients from NIST](https://physics.nist.gov/PhysRefData/FFast/html/form.html)\n", "\n", "Select the element and as *Type of Data* select **Mass Photoabsorption Coefficient (cm^2/g)**\n", "\n", "I collected all the data in a pickled dictionary which we open below and then test the content.\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Edges of Si:\n", "M2 : 0.005 keV\n", "M1 : 0.011 keV\n", "L3 : 0.099 keV\n", "L2 : 0.099 keV\n", "L1 : 0.149 keV\n", "K1 : 1.839 keV\n" ] }, { 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", 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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "shell_occupancy={'K1':2, 'L1':2, 'L2':2, 'L3':4, 'M1':2, 'M2':2, 'M3':4,'M4':4,'M5':6, \n", " 'N1':2, 'N2':2,' N3':4,'N4':4,'N5':6, 'N6':6,'N7':8,\n", " 'O1':2, 'O2':2,' O3':4,'O4':4,'O5':6, 'O6':6,'O7':8, 'O8':8, 'O9': 10 }\n", "\n", "Z = 14\n", "print(f\"Edges of {x_sections[str(Z)]['name']}:\")\n", "for key in x_sections[str(Z)]:\n", " if key in shell_occupancy.keys():\n", " print(f\"{key:3s}: {x_sections[str(Z)][key]['onset']/1e3:.3f} keV\")\n", "plt.figure()\n", "plt.plot( x_sections[str(Z)]['ene']/1000., x_sections[str(Z)]['dat']/x_sections[str(Z)]['photoabs_to_sigma']/1e10*0.1)\n", "plt.xlim(0,3)\n", "\n", "plt.ylim(0,1.2e4)\n", " \n", "plt.xlabel('energy [keV]')\n", "plt.ylabel('$\\mu$ [m$^2$/kg]')\n", "plt.title('Silicon Photoabsorption Cross-Section')\n", "plt.tight_layout();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Detector Efficiency\n", "### Absorption\n", "Absorption probability $P(E)$ is related t the mass aborption coefficient with:\n", "\n", "$$ P(E) = I/I_0 =\\exp\\left[ -(\\mu/\\rho) * \\rho * t\\right] = \\exp\\left[ -\\mu* t\\right]$$\n", "\n", "with\n", "- $I_0$: initial intensity of X-rays\n", "- $I$: intensity of X-rays after going through thickness $t$\n", "- $\\rho$: density of material \n", " \n", "### Detector \n", "\n", "The detector response $P_D$ is given by Small et al. as:\n", "Here, we assume the contact to be Al and the dead layer is of course Si like the detector crystal:\n", "\n", "$$ \\Large \n", "\\begin{align}\n", "P_D = &(\\exp(\\mu_{Al}(E) *t_{Al} *\\rho_{Al})) * (\\exp(\\mu_{Si}(E) *t_{dead layer} *\\varrho_{Si} )) \\\\\n", "&\\times (1- \\exp(\\mu_{Si}(E) *t_{detector} *\\varrho_{Si} ))\n", "\\end{align} $$\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import pickle\n", "pkl_file = open('data/ffast.pkl', 'rb')\n", "ffast = pickle.load(pkl_file)\n", "pkl_file.close()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(dict_keys(['name', 'barns', 'NumEdges', 'atomic_weight', 'nominal_density', 'photoabs_to_sigma', 'lines', 'fluorescent_yield', 'M2', 'M1', 'L3', 'L2', 'L1', 'K1', 'ene', 'dat']),\n", " dict_keys(['element', 'Z', 'atomic_weight', 'nominal_density', 'photoabs_to_sigma', 'f2_to_eV', 'number_of_edges', 'edges', 'E', 'f1', 'f2', 'photoabsorption', 'coh+incoh', 'total', 'lines']))" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x_sections['14'].keys(), ffast[14].keys()\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { 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", 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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.interpolate import interp1d\n", "import scipy.constants as const\n", "\n", "\n", "## layer thicknesses of commen materials in EDS detectors in m\n", "nickelLayer = 0.* 1e-9 # in m\n", "alLayer = 30 *1e-9 # in m\n", "goldLayer = 0.* 1e-9 # in m\n", "deadLayer = 100 *1e-9 # in m\n", "detector_thickness = 45 * 1e-3 # in m\n", "\n", "area = 30 * 1e-6 #in m2\n", "oo4pi = 1.0 # / (4.0 * np.pi)* np.radians(10)*2\n", "\n", "#We make a linear energy scale \n", "energy_scale = np.linspace(.1,60,1199)*1000\n", "\n", "\n", "## interpolate mass absorption coefficient to our energy scale\n", "photoabsorption = x_sections['14']['dat']/1e10/x_sections['14']['photoabs_to_sigma']\n", "lin = interp1d(x_sections['14']['ene'], photoabsorption,kind='linear') \n", "mu_Si = lin(energy_scale) * x_sections['14']['nominal_density']*100. #1/cm -> 1/m\n", "\n", "## interpolate mass absorption coefficient to our energy scale\n", "\n", "photoabsorption = x_sections['13']['dat']/1e10/x_sections['13']['photoabs_to_sigma']\n", "lin = interp1d(x_sections['13']['ene'], photoabsorption,kind='linear') \n", "mu_Al = lin(energy_scale) * x_sections['13']['nominal_density']*100. #1/cm -> 1/m\n", "\n", " \n", "detector_Efficiency1 = np.exp(-mu_Al * alLayer)* np.exp(-mu_Si * deadLayer) * oo4pi\n", "detector_Efficiency2 = (1.0 - np.exp(-mu_Si * detector_thickness)) * oo4pi;\n", "detector_Efficiency =detector_Efficiency1 * detector_Efficiency2/ oo4pi;\n", "\n", "\n", "plt.figure()\n", "#plt.plot(energy_scale/1000, detector_Efficiency*100, label = 'detector efficieny', color = 'red')\n", "plt.plot(energy_scale/1000, detector_Efficiency1*100, '--', label = 'deadlayer and contacts', color = 'blue')\n", "plt.plot(energy_scale/1000, detector_Efficiency2*100, '--',label = 'crystal efficiency' , color = 'orange')\n", "plt.xlabel('energy [keV]')\n", "plt.ylabel('efficiency [%]')\n", "plt.title('SDD Detector Efficiency')\n", "plt.ylim(60,105)\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that the detector efficiency drops off after our maximum acceleration voltage of 30 keV in the SEM.\n", "\n", "The background Bremsstrahlung will be absorbed at low energies as we expected.\n", "\n", "Play around with the thickness values of the contact and deadlayer. \n", "\n", "What has the biggest impact?\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Effective Background\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "850062d0493140f1ab6dd735148c043c", "version_major": 2, "version_minor": 0 }, "image/png": 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", "text/html": [ "\n", "
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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Z = 26\n", "E_0 = 30 # keV\n", "\n", "Z2 = 26\n", "E_02 = 10\n", "\n", "\n", "K = -4000\n", "I = 1\n", "E = energy_scale/1000 #= np.linspace(.1,30,2048) #in keV\n", "\n", "N_E = I*K*Z*(E-E_0)/E\n", "N_E2 = I*K*Z2*(E-E_02)/E\n", "\n", "plt.figure()\n", "plt.plot(energy_scale/1000, N_E, '--', color = 'blue');\n", "plt.plot(energy_scale/1000, N_E*detector_Efficiency , color = 'blue', label = f'Z = {Z} and E$_0$ = {E_0} keV');\n", "plt.plot(energy_scale/1000, N_E2, '--', color = 'red', label = f'Z = {Z2} and E$_0$ = {E_02} keV');\n", "plt.plot(energy_scale/1000, N_E2*detector_Efficiency, color = 'red');\n", "plt.axhline(y=0., color='gray', linestyle='-', linewidth = 0.5);\n", "plt.xlim(0,3)\n", "plt.legend();\n", "\n", "plt.ylabel('intensity [a.u.]')\n", "plt.xlabel('energy [keV]');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the curve above the change at the lower energiers is now as we expect it.\n", "\n", "Please check the slope at about 1.8 keV which is caused by the Si-K edge absorption fo the deadlayer.\n", "\n", "Change the values of *Z2* and the acceleration voltage *E_02* of the second curve to see the effects." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Effect of Window\n", "\n", "So far we have ignored the effect of the window in front of the X-ray detector. This window consists mostly of carbon being manufactured from polymer in a modern detector system. The exact composition is necessary to determine the effective background in an EDS spectrum." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "698f8d34f6dc4c95976edbff1b1685a7", "version_major": 2, "version_minor": 0 }, "image/png": 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ZswHw8vIiLCyMjh07cuuttzJy5Eg8PMp3curZZ5/l22+/ZdOmTVVaX1RUFA899BAPPfRQlW5XxJm4xCng2qxtW9izB3buNLsSEZGaM3jwYFJTU9m7dy+LFi2if//+PPjgg1xzzTUUFhaaXV6VyM/PN7sEkXNSADSZjw9ER4ObDkQuIm7K19eX8PBwmjRpQpcuXXjiiSf47rvvWLRokeOsTWZmJvfccw8NGzYkJCSEAQMGsHnzZsB+Zmfy5Mls3rwZi8WCxWIp13rF5s+fT7du3fDz86N+/fpcf/31APTr1499+/Yxbtw4x3aLzZkzh/bt2+Pr60tUVBSvvfZaiW1GRUUxdepURo4cSWhoKHfffXc17T2RylMAFBFxEYYB2dnmTFXxUNEBAwbQqVMn5s6di2EYXH311aSlpbFw4UI2bNhAly5dGDhwIMePH+fmm2/m4Ycfpn379qSmppKamsrNN998wfUAFixYwPXXX8/VV19NYmIiS5cupVu3bgDMnTuXpk2bMmXKFMd2ATZs2MBNN93ELbfcwtatW3n22Wd5+umnS11i9Morr9ChQwc2bNjA008/XfmdIlJNXOIawNrupZdg1y549FFo1crsakSktsrJgaAgcz779GkIDKz8di655BK2bNnC8uXL2bp1K+np6Y7xV1999VW+/fZbvvnmG+655x6CgoLw8vIiPDzcsf6yZcsuuN7zzz/PLbfcwuTJkx3rderUCbA/R97T05Pg4OAS23399dcZOHCgI9S1bt2apKQkXnnlFUaOHOloN2DAAFNGlBCpKPUAOoEvvoAPP4Tdu82uRETEXIZhYLFY2LBhA6dPn6ZevXoEBQU5ppSUFHaf5/8sy7Pepk2bGDhwYIXqSk5OpmfPniXm9ezZk507d1JUVOSYV9yTKOLs1APoBHQnsIhUhYAAe0+cWZ9dFZKTk4mOjsZmsxEREUF8fHypNnXq1Dnn+uVZz9/fv8J1FQfTs+edLbAqukFFaoACoBPQ00BEpCpYLFVzGtYsxadvx40bR9OmTUlLS8PLy4uoqKgy2/v4+JTofQPo0qXLBdfr2LEjS5cu5c477yz3dtu1a8fKlStLzFu1ahWtW7fG09OzfF9QxInoFLATUA+giLgbq9VKWloahw4dYuPGjbzwwgtcd911XHPNNQwfPpwrrriCuLg4hg0bxg8//MDevXtZtWoVTz31FOvXrwfsd92mpKSwadMmMjIysFqt5Vpv0qRJfPHFF0yaNInk5GS2bt3Kyy+/7KgtKiqKFStWcOjQITIyMgB4+OGHWbp0Kc899xw7duxg9uzZvPPOO7reT2otBUAnoKeBiIi7Wbx4MREREURFRTF48GCWL1/OW2+9xXfffYenpycWi4WFCxfSp08fRo0aRevWrbnlllvYu3cvjRo1AuCGG25g8ODB9O/fnwYNGvDFF1+Ua71+/frx9ddfM3/+fDp37syAAQP49ddfHbVNmTKFvXv30qJFCxo0aADYexb/+9//8uWXX9KhQweeeeYZpkyZUuIGEJHaxGKUdRGDlEtWVhahoaFkZmYSUomB/F5/HR5+GG69FT7/vAoLFBGXlpeXR0pKCtHR0fj5+ZldjohTOd+/j6r6/a7N1APoBHQKWERERGqSbgJxAsOG2R8HV7++2ZWIiIiIO1AAdAKhofZJREREpCboFLCIiIiIm1EAdAJWKzz2GNx9N+Tnm12NiIiIuDoFQCfg5QWvvGJ/HNyJE2ZXIyIiIq5OAdAJeHpC3br217oTWERERKqbAqCT0GDQIiIiUlMUAJ2ExgIUERGRmqIA6CQUAEVEpLJmzZpFnTp1qny7I0eOZNiwYZXejsVi4dtvv630dqTyFACdhAKgiLiLkSNHYrFYsFgseHt706hRI6688kpmzpyJzWar0LaeffZZOnfuXOU1RkVF8eabb1b5ds3Wo0cP7r333hLzpk+fjsViYcaMGSXmjx49mssvvxyAf/3rX8yaNaumypQaoADoJBQARcSdDB48mNTUVPbu3cuiRYvo378/Dz74INdccw2FhYVml1dl8p1sbK/+/fuzfPnyEvPi4+OJjIwsc37//v0BCA0NrZaeRTGPAqCTeOwxSEmBSZPMrkREpPr5+voSHh5OkyZN6NKlC0888QTfffcdixYtKtHTlJmZyT333EPDhg0JCQlhwIABbN68GbCf7pw8eTKbN2929CgWr3u+9YrNnz+fbt264efnR/369bn++usB6NevH/v27WPcuHGO7RabM2cO7du3x9fXl6ioKF577bUS24yKimLq1KmMHDmS0NBQ7r777jK//+LFi+nVqxd16tShXr16XHPNNezevduxfO/evVgsFubOnUv//v0JCAigU6dOrF69usR2Zs2aRbNmzQgICOBvf/sbxy7Qi9C/f3+2b99OamqqY15CQgITJ04kPj7eMe/AgQPs2bPHEQDPPgXcr18/xo4dy6OPPkpYWBjh4eE8++yzJT5r586d9OnTBz8/P9q1a8eSJUtK1bN161YGDBiAv78/9erV45577uH06dOOZR4eHmRkZABw4sQJPDw8uPHGGx3rT5s2jbi4uPN+ZymbAqCTCA+HqCgICDC7EhGptQwDsrPNmQyj0uUPGDCATp06MXfu3D++jsHVV19NWloaCxcuZMOGDXTp0oWBAwdy/Phxbr75Zh5++GHat29Pamoqqamp3HzzzRdcD2DBggVcf/31XH311SQmJrJ06VK6desGwNy5c2natClTpkxxbBdgw4YN3HTTTdxyyy1s3bqVZ599lqeffrrUqdFXXnmFDh06sGHDBp5++ukyv2t2djbjx49n3bp1LF26FA8PD/72t7+VOgX+5JNPMmHCBDZt2kTr1q259dZbHT2kv/76K6NGjeKf//wnmzZton///kydOvW8+7hnz554e3s7wl5SUhK5ubmMGjWKrKwsdu7cCcDy5cvx8fFxnAIuy+zZswkMDOTXX3/l5ZdfZsqUKY6QZ7PZuP766/H09GTNmjW8//77PPbYYyXWz8nJYfDgwdStW5d169bx9ddf89NPP3H//fcD0KFDB+rVq0dCQgIAK1asoF69eqxYscKxjfj4ePr27Xve7yznYMhFy8zMNAAjMzPT7FJExA3l5uYaSUlJRm5urn3G6dOGYY9iNT+dPl3uukeMGGFcd911ZS67+eabjbZt2xqGYRhLly41QkJCjLy8vBJtWrRoYfz73/82DMMwJk2aZHTq1KnE8vKsFxcXZ9x+++3nrLF58+bGG2+8UWLebbfdZlx55ZUl5j3yyCNGu3btSqw3bNiwc273XNLT0w3A2Lp1q2EYhpGSkmIAxocffuhos23bNgMwkpOTDcMwjFtvvdUYPHhwie3cfPPNRmho6Hk/6/LLLzfuuecewzAM49133zWGDh1qGIZhDB482Pjggw8MwzCMO++80+jdu7djnbP/N+vbt6/Rq1evEtu97LLLjMcee8wwDMP44YcfDE9PT+PAgQOO5YsWLTIAY968eYZhGMYHH3xg1K1b1zh9xrGzYMECw8PDw0hLSzMMwzCuv/564/777zcMwzAeeugh4+GHHzbq169vbNu2zSgoKDCCgoKMRYsWlfk9S/37OIN+vw1DPYBOYt8++2lgnQIWEXdmGIbjlOuGDRs4ffo09erVIygoyDGlpKSUOF16tvKst2nTJgYOHFih2pKTk+nZs2eJeT179mTnzp0UFRU55hX3JJ7P7t27ue2224iJiSEkJITo6GgA9u/fX6Jdx44dHa8jIiIASE9Pd9Rz9unP8pwO7d+/v6MHMD4+nn79+gHQt2/fEvMHDBhw3u2cWVtxfWfW1qxZM5o2bXrO2pKTk+nUqROBgYGOeT179sRms7F9+3bAfqq5uKaEhAT69+9Pnz59SEhIYN26deTm5pb630TKx8vsAsTu2DF4+WWIiIDJk82uRkRqpYAA+OP6KVM+uwokJyc7wpDNZiMiIqLEtWnFzndDQnnW8/f3r3BtZ4bTM+ed7cxAcy7XXnstkZGR/Oc//6Fx48bYbDY6dOhQ6qYRb29vx+vizy4+TVzWZ5dH//79ef755zl06BAJCQlMmDABsAfAt99+m/3795OSkuK4/u9czqytuL7z1VbWvjt73tlt+/Xrx4MPPsiuXbv47bff6N27N7t37yYhIYGTJ0/StWtXgoODy/fFpQQFQCdx5l3AhgHn+DchInJuFguUI3w4q2XLlrF161bGjRsHQJcuXUhLS8PLy4uoqKgy1/Hx8SnR+1be9Tp27MjSpUu58847y73ddu3asXLlyhLzVq1aRevWrfH09CzHN7Q7duwYycnJ/Pvf/6Z3794ApbZbHu3atWPNmjUl5p39viyXX345vr6+vPfee+Tm5tK1a1fA3nOZmZnJv//9b/z8/OjRo0eFazqztv3793P48GEaN24MUOoGlnbt2jF79myys7MdofmXX37Bw8OD1q1bA39eBzh16lQ6depESEgIffv2Zdq0aZw4cULX/1WCTgE7ieIAmJ9vv55aRMSVWa1W0tLSOHToEBs3buSFF17guuuu45prrmH48OEAXHHFFcTFxTFs2DB++OEH9u7dy6pVq3jqqadYv349YL/rNiUlhU2bNpGRkYHVai3XepMmTeKLL75g0qRJJCcns3XrVl5++WVHfVFRUaxYsYJDhw457kJ9+OGHWbp0Kc899xw7duxg9uzZvPPOO44etPKqW7cu9erV44MPPmDXrl0sW7aM8ePHV3gfjh07lsWLF/Pyyy+zY8cO3nnnHRYvXnzB9fz9/enevTtvv/02PXv2dIRXb29v4uLiePvttx0h8WJdccUVtGnThuHDh7N582Z+/vlnnnzyyRJtbr/9dvz8/BgxYgS//fYby5cv54EHHuCOO+6gUaNGgL0nsE+fPnz66aeOU9UdO3YkPz+fpUuXOuZJxSkAOonAQPDxsb/WWIAi4uoWL15MREQEUVFRDB48mOXLl/PWW2/x3XffOQKJxWJh4cKF9OnTh1GjRtG6dWtuueUW9u7d6wgIN9xwA4MHD6Z///40aNCAL774olzr9evXj6+//pr58+fTuXNnBgwYwK+//uqob8qUKezdu5cWLVrQoEEDwN6z+N///pcvv/ySDh068MwzzzBlyhRGjhxZoe/u4eHBl19+yYYNG+jQoQPjxo3jlVdeqfA+7NGjBx9++CFvv/02nTt35scff+Spp54q17r9+/fn1KlTpQJU3759OXXq1AVP/16Ih4cH8+bNw2q18pe//IW77rqL559/vkSbgIAAfvjhB44fP85ll13G//3f/zFw4EDeeeedUrUWFRU5arVYLI6e0169elWqTndmMS72IgIhKyuL0NBQMjMzCQkJqfT2GjeG1FTYsAG6dKmCAkXEpeXl5ZGSkkJ0dDR+fn5mlyPiVM7376Oqf79rI/UAOhE9DURERERqggKgEykOgH+MUyoiIiJSLXQXsBOZORM8PeGPS1REREREqoUCoBOJiTG7AhEREXEHOgUsIiIi4mYUAJ3I2rXw6KPw4YdmVyIitYkGcxApTf8uzk8B0In89hu88grMnWt2JSJSGxSPl3f248NEBHJycoDSj6wTO10D6EQ0DIyIVISXlxcBAQEcPXoUb29vPDz03/QihmGQk5NDeno6derUqdBj+tyJAqATUQAUkYqwWCxERESQkpLCvn37zC5HxKnUqVOH8PBws8twWgqATkQBUEQqysfHh1atWuk0sMgZvL291fN3AQqATqQ4AJ48CUVF9jEBRUQuxMPDQ4+CE5EK0QUjTiQs7M/XJ06YV4eIiIi4NpcIgNOmTeOyyy4jODiYhg0bMmzYMLZv337edeLj47FYLKWm33//vYaqLs3LC4qfSa3TwCIiIlJdXOIUcEJCAvfddx+XXXYZhYWFPPnkkwwaNIikpCQCAwPPu+727dsJKU5dQIMGDaq73PP65RcIDoYmTUwtQ0RERFyYSwTAxYsXl3j/0Ucf0bBhQzZs2ECfPn3Ou27Dhg2pU6dONVZXMR06mF2BiIiIuDqXOAV8tszMTADCzryo7hxiY2OJiIhg4MCBLF++/LxtrVYrWVlZJSYRERGR2sblAqBhGIwfP55evXrR4TzdaREREXzwwQfMmTOHuXPn0qZNGwYOHMiKFSvOuc60adMIDQ11TJGRkVVe//ff2x8H9+OPVb5pEREREQAshos9LO++++5jwYIFrFy5kqZNm1Zo3WuvvRaLxcL8+fPLXG61WrFarY73WVlZREZGkpmZWeI6wsoYOxbefhsmToQXXqiSTYqIiMgZsrKyCA0NrdLf79rGpXoAH3jgAebPn8/y5csrHP4AevTowc6dO8+53NfXl5CQkBJTVdNg0CIiIlLdXOImEMMweOCBB5g3bx7x8fFER0df1HYSExOJiIio4uoqRgFQREREqptLBMD77ruPzz//nO+++47g4GDS0tIACA0Nxd/fH4CJEydy6NAhPv74YwDefPNNoqKiaN++Pfn5+Xz66afMmTOHOXPmmPY94M8AePy4qWWIiIiIC3OJADh9+nQA+vXrV2L+Rx99xMiRIwFITU1l//79jmX5+flMmDCBQ4cO4e/vT/v27VmwYAFDhw6tqbLLVHzjsnoARUREpLq43E0gNak6LiJdvx4uu8w+EPTBg1WySRERETmDbgJxsZtAXIGuARQREZHq5hKngF1J06awcaM9CBoGWCxmVyQiIiKuRgHQyXh7Q2ys2VWIiIiIK9MpYBERERE3owDohGbOhEcegaQksysRERERV6RTwE5o1iz4+Wf73cDt2pldjYiIiLga9QA6IQ0GLSIiItVJAdAJaSgYERERqU4KgE5ITwMRERGR6qQA6ITUAygiIiLVSQHQCSkAioiISHVSAHRCCoAiIiJSnTQMjBPq18/+OLhGjcyuRERERFyRAqATqlvXPomIiIhUB50CFhEREXEzCoBOyDBg2jT74+BOnTK7GhEREXE1OgXshCwWeOEFOH0a/vEPCA42uyIRERFxJeoBdFIaDFpERESqiwKgk9JQMCIiIlJdFACdlAKgiIiIVBcFQCelACgiIiLVRQHQSSkAioiISHVRAHRSCoAiIiJSXTQMjJO6+264/npo0sTsSkRERMTVKAA6qchI+yQiIiJS1XQKWERERMTNqAfQSR09Ch9+CEVF8NRTZlcjIiIirkQ9gE4qMxOeeAJefNHsSkRERMTVKAA6qeK7gLOzwWo1txYRERFxLQqATio0FDz++F9HQ8GIiIhIVVIAdFIeHhAWZn+tACgiIiJVSQHQiWkwaBEREakOCoBOrDgAHj9ubh0iIiLiWhQAnZh6AEVERKQ6KAA6sZdegsREuOkmsysRERERV6KBoJ1Y27ZmVyAiIiKuSD2AIiIiIm5GPYBOLDkZ5s2DiAi4806zqxERERFXoR5AJ7ZtGzz5JMyYYXYlIiIi4koUAJ1Y/fr2v0ePmluHiIiIuBYFQCcWHW3/m5ICRUXm1iIiIiKuQwHQiUVGgq8vFBTAvn1mVyMiIiKuQgHQiXl4QKtW9tc7dphbi4iIiLgOlwiA06ZN47LLLiM4OJiGDRsybNgwtm/ffsH1EhIS6Nq1K35+fsTExPD+++/XQLUVowAoIiIiVc0lAmBCQgL33Xcfa9asYcmSJRQWFjJo0CCys7PPuU5KSgpDhw6ld+/eJCYm8sQTTzB27FjmzJlTg5VfWOvW9r87d5pbh4iIiLgOi2EYhtlFVLWjR4/SsGFDEhIS6NOnT5ltHnvsMebPn09ycrJj3pgxY9i8eTOrV68u1+dkZWURGhpKZmYmISEhVVL72fbuhVOnoEULCAiolo8QERFxKzXx++3sanwg6LfeeqvC69x5550EBweXu31mZiYAYWFh52yzevVqBg0aVGLeVVddxYwZMygoKMDb27vUOlarFavV6niflZVV7pouVlRUtX+EiIiIuJkaD4APPfQQTZs2xdPTs1ztDxw4wDXXXFPuAGgYBuPHj6dXr1506NDhnO3S0tJo1KhRiXmNGjWisLCQjIwMIiIiSq0zbdo0Jk+eXK46RERERJyVKY+CW79+PQ0bNixX24r0/AHcf//9bNmyhZUrV16wrcViKfG++Gz42fOLTZw4kfHjxzveZ2VlERkZWaH6LsZ778GmTfD44xATU+0fJyIiIi6uxgPgpEmTCAoKKnf7J5544ryncs/0wAMPMH/+fFasWEHTpk3P2zY8PJy0tLQS89LT0/Hy8qJevXplruPr64uvr2/5Cq9CH30E69fD0KEKgCIiIlJ5NX4X8KRJkwiowN0MEydOpE6dOudtYxgG999/P3PnzmXZsmVEFz9C4zzi4uJYsmRJiXk//vgj3bp1K/P6PzNpKBgRERGpSi4xDMx9993Hp59+yueff05wcDBpaWmkpaWRm5vraDNx4kSGDx/ueD9mzBj27dvH+PHjSU5OZubMmcyYMYMJEyaY8RXOS0PBiIiISFVyygD4xBNPMGrUqHK3nz59OpmZmfTr14+IiAjH9NVXXznapKamsn//fsf76OhoFi5cSHx8PJ07d+a5557jrbfe4oYbbqjS71IVigOgegBFRESkKphyE8iFHDp0iAMHDpS7fXmGMpw1a1apeX379mXjxo0VKc0UOgUsIiIiVckpA+Ds2bPNLsGpFAfAtDTIygI3HbNSREREqohTngKWkurUgeJRc1JSTC1FREREXICpPYBTpkw57/Jnnnmmhipxfj//DBERUMFhEUVERERKMfVZwLGxsSXeFxQUkJKSgpeXFy1atHD66/P0LEEREZHaR7/fJvcAJiYmlpqXlZXFyJEj+dvf/mZCRSIiIiKuz+muAQwJCWHKlCk8/fTTZpfiVHbtgn/+E+6/3+xKREREpLZzugAIcPLkSTIzM80uw6nk5cH06fDZZ2DeSXsRERFxBaaeAn7rrbdKvDcMg9TUVD755BMGDx5sUlXOqUULsFjg5Ek4dgzq1ze7IhEREamtTA2Ab7zxRon3Hh4eNGjQgBEjRjBx4kSTqnJO/v4QGQn799sHhFYAFBERkYtlagBM0aB2FdK69Z8B8PLLza5GREREaiunvAZQyqZnAouIiEhVcMoA+N57711wkGh3VBwAd+40tw4RERGp3ZwyAM6ZM4dZs2aZXYbTKX4m8NGj5tYhIiIitZup1wCey9KlS80uwSkNGGC/Czg01OxKREREpDZzygAoZfPzs08iIiIileEUATApKYn9+/eTn59fYv5f//pXkyoSERERcV2mBsA9e/bwt7/9ja1bt2KxWDD+eMSFxWIBoKioyMzynNIHH8CcOTByJNx6q9nViIiISG1k6k0gDz74INHR0Rw5coSAgAC2bdvGihUr6NatG/Hx8WaW5rS2b4cff4R168yuRERERGorU3sAV69ezbJly2jQoAEeHh54eHjQq1cvpk2bxtixY0lMTDSzPKeksQBFRESkskztASwqKiIoKAiA+vXrc/jwYQCaN2/O9u3bzSzNaRUPBaMAKCIiIhfL1B7ADh06sGXLFmJiYujevTsvv/wyPj4+fPDBB8TExJhZmtMq7gFMSYGCAvD2NrceERERqX1M7QF86qmnsNlsAEydOpV9+/bRu3dvFi5cyFtvvWVmaU6rcWMICIDCQti71+xqREREpDYytQfwqquucryOiYkhKSmJ48ePU7duXcedwFKSh4f9NPDmzfZHwhWfEhYREREpL6d7FFxYWJjC3wW0agX16kFmptmViIiISG1U4wHw+uuvJysrq9ztb7/9dtLT06uxotrn008hI0PjAIqIiMjFsRjFoy/XEE9PT3bs2EGDBg0u2NYwDCIjI9m0aZNT3hSSlZVFaGgomZmZhISEmF2OiIiIlIN+v024BtAwDFoX38oqIiIiIjWuxgPg8uXLK7xOkyZNqqGS2isvD264wX4TyKZN9ruCRURERMqrxgNg3759a/ojXY6vL6xeDSdOwO7dcOmlZlckIiIitYnT3QUsF2ax6IkgIiIicvEUAGup4ssod+40tw4RERGpfRQAa6niAKgeQBEREakoBcBaSgFQRERELpapAfDZZ59l3759ZpZQaxVfA6hTwCIiIlJRpgbA//3vf7Ro0YKBAwfy+eefk5eXZ2Y5tUqrVhAaCs2b24eFERERESkvUwPghg0b2LhxIx07dmTcuHFERERw7733sm7dOjPLqhWCg+3DwKxdC35+ZlcjIiIitYnp1wB27NiRN954g0OHDjFz5kwOHTpEz549ufTSS/nXv/5FZmam2SU6LYvF7ApERESkNjI9ABaz2Wzk5+djtVoxDIOwsDCmT59OZGQkX331ldnliYiIiLgM0wPghg0buP/++4mIiGDcuHHExsaSnJxMQkICv//+O5MmTWLs2LFml+mU5s6FSy6BESPMrkRERERqkxp/FNyZOnbsSHJyMoMGDWLGjBlce+21eHp6lmgzfPhwHnnkEZMqdG4eHrB9OwQFmV2JiIiI1CamBsAbb7yRUaNG0aRJk3O2adCgATabrQarqj3OHAvQMHRNoIiIiJSPqaeADcOgbt26pebn5uYyZcoUEyqqXVq0sPcCnjoFhw+bXY2IiIjUFqYGwMmTJ3P69OlS83Nycpg8ebIJFdUuvr7QsaP99cqV5tYiIiIitYfpPYCWMs5bbt68mbCwsApta8WKFVx77bU0btwYi8XCt99+e9728fHxWCyWUtPvv/9eoc81W9++9r8JCebWISIiIrWHKdcA1q1b1xG4WrduXSIEFhUVcfr0acaMGVOhbWZnZ9OpUyfuvPNObrjhhnKvt337dkJCQhzvGzRoUKHPNVvfvvCvfykAioiISPmZEgDffPNNDMNg1KhRTJ48mdDQUMcyHx8foqKiiIuLq9A2hwwZwpAhQypcS8OGDalTp06F13MWvXtD27bQpw8UFcFZN1GLiIiIlGJKABzxx8B10dHRXH755Xh7e5tRBgCxsbHk5eXRrl07nnrqKfr373/OtlarFavV6niflZVVEyWeV/36kJRkdhUiIiJSm9T4NYBnhqbY2Fhyc3PJysoqc6pOERERfPDBB8yZM4e5c+fSpk0bBg4cyIoVK865zrRp0wgNDXVMkZGR1VqjiIiISHWwGIZh1OQHenp6kpqaSsOGDfHw8CjzJpDim0OKioou6jMsFgvz5s1j2LBhFVrv2muvxWKxMH/+/DKXl9UDGBkZSWZmZonrCM1QUADbtkHnzqaWISIi4vSysrIIDQ11it9vs9T4KeBly5Y57vBdvnx5TX/8efXo0YNPP/30nMt9fX3x9fWtwYrKJzMTGjeG3FzIyIAK3kAtIiIibqbGA2Df4nFLznrtDBITE4mIiDC7jAoLDYXISPtj4VauhL/+1eyKRERExJmZOg7g4sWLWXnGCMbvvvsunTt35rbbbuPEiRMV2tbp06fZtGkTmzZtAiAlJYVNmzaxf/9+ACZOnMjw4cMd7d98802+/fZbdu7cybZt25g4cSJz5szh/vvvr/wXM4HGAxQREZHyMjUAPvLII46bPbZu3cr48eMZOnQoe/bsYfz48RXa1vr164mNjSU2NhaA8ePHExsbyzPPPANAamqqIwwC5OfnM2HCBDp27Ejv3r1ZuXIlCxYs4Prrr6+ib1ezFABFRESkvGr8JpAzBQUF8dtvvxEVFcWzzz7Lb7/9xjfffMPGjRsZOnQoaWlpZpVWLs50EemhQ9C0qf3ZwMeP208Li4iISGnO9PttFlN7AH18fMjJyQHgp59+YtCgQQCEhYU5xRh7tUmTJtCiBdhssGqV2dWIiIiIMzM1APbq1Yvx48fz3HPPsXbtWq6++moAduzYQdOmTc0srVbq08f+V6eBRURE5HxMDYDvvPMOXl5efPPNN0yfPp0mTZoAsGjRIgYPHmxmabXSbbfBCy/ArbeaXYmIiIg4M1OvAaztdA2BiIhI7aPfb5OeBXwmm83Grl27SE9Px2azlVjWp/icpoiIiIhUGVMD4Jo1a7jtttvYt28fZ3dEVuZRcO7s6FFYuhQCAjQgtIiIiJTN1AA4ZswYunXrxoIFC4iIiCjzucBSMfPnw113Qa9eCoAiIiJSNlMD4M6dO/nmm29o2bKlmWW4lOIBodeutT8b2N/f3HpERETE+Zh6F3D37t3ZtWuXmSW4nBYtoHFjyM+HNWvMrkZERESckak9gA888AAPP/wwaWlpXHrppXh7e5dY3rFjR5Mqq70sFnsv4Bdf2McD7N/f7IpERETE2ZgaAG+44QYARo0a5ZhnsVgwDEM3gVTCmQFQRERE5GymBsCUlBQzP95lFV8HuGYNWK3g62tuPSIiIuJcTA2AzZs3N/PjXVabNtCwIaSnQ2Ii9OhhdkUiIiLiTEy9CQTgk08+oWfPnjRu3Jh9+/YB8Oabb/Ldd9+ZXFntZbHAN9/AgQMKfyIiIlKaqQFw+vTpjB8/nqFDh3Ly5EnHNX916tThzTffNLO0Wq93b2ja1OwqRERExBmZGgDffvtt/vOf//Dkk0/i6enpmN+tWze2bt1qYmUiIiIirsvUAJiSkkJsbGyp+b6+vmRnZ5tQkWuZPh2GDoX1682uRERERJyJqQEwOjqaTZs2lZq/aNEi2rVrV/MFuZgffoBFi+zPBhYREREpZmoAfOSRR7jvvvv46quvMAyDtWvX8vzzz/PEE0/wyCOPmFmaSygeDkbjAYqIiMiZTB0G5s4776SwsJBHH32UnJwcbrvtNpo0acK//vUvbrnlFjNLcwnFAXDlSigsBC9T/9cWERERZ2ExDMMwuwiAjIwMbDYbDRs2NLuUcsvKyiI0NJTMzExCQkLMLqeUoiKoVw8yM2HdOujWzeyKREREzOfsv981wdRTwAMGDODkyZMA1K9f3xH+srKyGDBggImVuQZPT+jTx/56/nxzaxERERHnYWoAjI+PJz8/v9T8vLw8fv75ZxMqcj3FZ9I/+QRsNnNrEREREedgylVhW7ZscbxOSkoiLS3N8b6oqIjFixfTpEkTM0pzOcOGQVgYdOpkPxVct67ZFYmIiIjZTAmAnTt3xmKxYLFYyjzV6+/vz9tvv21CZa4nIAAOHgR/f7MrEREREWdhSgBMSUnBMAxiYmJYu3YtDRo0cCzz8fGhYcOGJZ4MIpWj8CciIiJnMiUANm/eHACbLkqrUXv2QHY2XHqp2ZWIiIiImUwfGW7Hjh3Ex8eTnp5eKhA+88wzJlXlej74AP7xDxg82P50EBEREXFfpgbA//znP9x7773Ur1+f8PBwLBaLY5nFYlEArEL9+9v//vgjpKZCRIS59YiIiIh5TA2AU6dO5fnnn+exxx4zswy30KoVxMXB6tXw+efw8MNmVyQiIiJmMXUcwBMnTnDjjTeaWYJbGTHC/nf2bHCO57+IiIiIGUwNgDfeeCM//vijmSW4lZtuAh8f2LoVNm82uxoRERExi6mngFu2bMnTTz/NmjVruPTSS/H29i6xfOzYsSZV5prq1oW//hW++QY+/hg6dza7IhERETGDxTDMOxkYHR19zmUWi4U9e/bUYDUVVxsfJv2//9lDYMuWsGMHnHHfjYiIiFuojb/fVc3UHsCUlBQzP94tDR4MX3xhD4EKfyIiIu7J9HEApWZ5e8Mtt5hdhYiIiJipxgPg+PHjee655wgMDGT8+PHnbfv666/XUFXuyTDAZgM9dU9ERMS91HgATExMpKCgwPH6XCw6P1mtZs+Gl16Chx6Ce+4xuxoRERGpSTUeAJcvX17ma6lZ6emQnGy/G1gBUERExL2YOg6gmOf228HDA375BXbvNrsaERERqUkKgG6qcWO48kr7648/NrcWERERqVkKgG5s+HD7348/tt8MIiIiIu7BZQLgihUruPbaa2ncuDEWi4Vvv/32guskJCTQtWtX/Pz8iImJ4f3336/+Qp3IsGEQHAx799pPBYuIiIh7cJkAmJ2dTadOnXjnnXfK1T4lJYWhQ4fSu3dvEhMTeeKJJxg7dixz5syp5kqdR0AA3Hij/fW//21uLSIiIlJzXGYg6CFDhjBkyJByt3///fdp1qwZb775JgBt27Zl/fr1vPrqq9xwww3VVKXz+ec/IS0NLjAko4iIiLgQl+kBrKjVq1czaNCgEvOuuuoq1q9f7xin0B107QoLFkCXLmZXIiIiIjXFZXoAKyotLY1GjRqVmNeoUSMKCwvJyMggIiKi1DpWqxWr1ep4n5WVVe111jTD0DOCRUREXJ3b9gBC6aeNGIZR5vxi06ZNIzQ01DFFRkZWe4015cgRuP/+P68JFBEREdfltgEwPDyctLS0EvPS09Px8vKiXr16Za4zceJEMjMzHdOBAwdqotQacfIkTJ8Oc+bAr7+aXY2IiIhUJ7cNgHFxcSxZsqTEvB9//JFu3brh7e1d5jq+vr6EhISUmFxFmzZ/jgv49NPm1iIiIiLVy2UC4OnTp9m0aRObNm0C7MO8bNq0if379wP23rvhxQkHGDNmDPv27WP8+PEkJyczc+ZMZsyYwYQJE8wo3yk88wx4ecGSJbBihdnViIiISHVxmQC4fv16YmNjiY2NBWD8+PHExsbyzDPPAJCamuoIgwDR0dEsXLiQ+Ph4OnfuzHPPPcdbb73lVkPAnC06Gu66y/76qafsN4SIiIiI67EYhn7mL1ZWVhahoaFkZma6zOnggwehZUuwWuHHH/98XrCIiIircMXf74pymR5AqRpNm8K999pfT5tmbi0iIiJSPdx2HEA5t8cft18L+MgjZlciIiIi1UEBUEpp1AheecXsKkRERKS66BSwXNCJE2ZXICIiIlVJAVDOae9e+00gl18ORUVmVyMiIiJVRQFQziksDDZuhN9/h88/N7saERERqSoKgHJOISHw2GP21089BVlZ5tYjIiIiVUMBUM7rvvsgKgr274fx482uRkRERKqCAqCcV2AgzJ4NFgvMmAH/+5/ZFYmIiEhlKQDKBfXpAw8/bH99111w9Ki59YiIiEjlKABKuTz3HLRvDw0awPHjZlcjIiIilaGBoKVc/Pzg++8hPNz+WkRERGovBUApt6ioku9tNvBQH7KIiEito59vqbDCQnj+ebj6ansIFBERkdpFAVAqbP9+ewBcvBjefdfsakRERKSiFAClwmJi4JVX7K8ffdT+pBARERGpPRQA5aLce6/9OcF5eTB8uP20sIiIiNQOCoByUTw8YOZMCA2Fdetg2jSzKxIREZHyUgCUi9a06Z/XAE6ZAj/9ZG49IiIiUj4KgFIpt90Gt99u7xE8edLsakRERKQ8FAClUoqfEbxqFfzf/5ldjYiIiJSHAqBUmq8vdO365/uDB+HECfPqERERkfNTAJQq9dtvEBcHf/sbWK1mVyMiIiJlUQCUKmWzQWYmJCTAiBF6UoiIiIgzUgCUKtWxI8ybB15e8NVX8NhjZlckIiIiZ1MAlCo3cCB89JH99auvwltvmVuPiIiIlKQAKNXi73//c3Dohx6CuXNNLUdERETOoAAo1eaxx+yPjDMMeOklXQ8oIiLiLLzMLkBcl8UCb78N4eHw4IP2waJFRETEfPpJlmrl6QnPPGN/ZnCx1avNq0dEREQUAKWGvfMOXH45TJxoPzUsIiIiNU8BUGrU6dP2vy++CKNHQ2GhufWIiIi4IwVAqVGPPw4ffmi/HvCjj+xPDMnJMbsqERER96IAKDVu9Gj7YNF+fvD993DFFXDsmNlViYiIuA8FQDHFX/8KP/0Edevabwrp0wfy8syuSkRExD0oAIppevaEn3+Gpk3hzjvtPYIiIiJS/TQOoJiqfXvYuhXq1Plz3oED0KgR+PiYVpaIiIhLUw+gmO7M8JedDYMGQa9esGePaSWJiIi4NAVAcSrJyXDkCKxbB7Gx8PXXZlckIiLiehQAxal06wabNtkHi87Kgptusj9PODfX7MpERERchwKgOJ1mzSA+3v60EID334cePeD3300tS0RExGUoAIpT8vaGF16AH36Ahg1hyxb7M4VFRESk8hQAxakNGmQ/Jfy3v8Grr/45X4+QExERuXguFQDfe+89oqOj8fPzo2vXrvz888/nbBsfH4/FYik1/a7zjE4nIgLmzrWfGi42ahTccYf9hhERERGpGJcJgF999RUPPfQQTz75JImJifTu3ZshQ4awf//+8663fft2UlNTHVOrVq1qqGK5WLt2wWefwaefwiWX2K8RtNnMrkpERKT2cJkA+PrrrzN69Gjuuusu2rZty5tvvklkZCTTp08/73oNGzYkPDzcMXl6etZQxXKxWraENWugSxc4edJ+l/Dll9tPFYuIiMiFuUQAzM/PZ8OGDQwaNKjE/EGDBrFq1arzrhsbG0tERAQDBw5k+fLl1Vmmyzq+8xj7lu0mc99JDJtRI5952WWwdi289RYEB8Ovv9oD4fDhkJFRIyWIiIjUWi7xKLiMjAyKiopo1KhRifmNGjUiLS2tzHUiIiL44IMP6Nq1K1arlU8++YSBAwcSHx9Pnz59ylzHarVitVod77OysqruSzg5w2ZwZFMqh5cmc+rXJCzJSYQcSqZJVhINjKOE/dGuEE9OWOqR5V2P0371yQ2sR35IfWz1G+F3eReibulBeJfGVVKTpyc88ADccAOMHw9ffQVLl0JgYJVsXkRExGW5RAAsZrFYSrw3DKPUvGJt2rShTZs2jvdxcXEcOHCAV1999ZwBcNq0aUyePLnqCq4FkmavI3vCM7TOWE04mYSfo102AQSSgxdFNDDSaZCfDvlAFpAKbAd+AV6BQ56R7A/vjjW2B2FDutPqlq74h/lfdI2NG8OXX8KECfabQvz/2FRRkf3O4dGjoX79i968iIiIy3GJAFi/fn08PT1L9falp6eX6hU8nx49evDpp5+ec/nEiRMZP368431WVhaRkZEVL7gWOLIplZ3/N5Feu2c75hXiyQHvFhyp3468qLZ4d2pHWK92NLuyDYENA7FmWTmx6xhZezLI3n+MvIMZFKQdw5aegceh/TTau5aWeVtpUnSAJocOwKFv4HsouM+LpIBOpLftS+Bfr6DtPb0JCg+qcM3dupV8/+WX8Pjj8Pzz9h7C8eMhJKSye0ZERKT2sxiGUTMXbVWz7t2707VrV9577z3HvHbt2nHdddcxbdq0cm3j//7v/zh+/DjLli0rV/usrCxCQ0PJzMwkxEWSRd7JPNbc9DrdlrxAENkArIy5gwbTHiZq8CX4hvhWavun006z68v1nFy8Br8tvxJ9ZA2NbCWDez7eJIXGcbLrFdS7+QraDr8ML7+K/7dKfLw99CUm2t/Xqwf33w///Kd9cGkREXFPrvj7XVEuEwC/+uor7rjjDt5//33i4uL44IMP+M9//sO2bdto3rw5EydO5NChQ3z88ccAvPnmm0RFRdG+fXvy8/P59NNPefHFF5kzZw7XX399uT7TlQ4gw2aw5pE5NH3rESIL9wKwNagHljffpMPo7tX6uYdW72f/l6soXLKMmF1LaFq0r0SbTEL4Pbwfeb0H0WLs1TTtFVXu7dtsMGcOPP00bN9un+fra79Z5J13wMenCr+MiIjUCq70+32xXOIUMMDNN9/MsWPHmDJlCqmpqXTo0IGFCxfSvHlzAFJTU0uMCZifn8+ECRM4dOgQ/v7+tG/fngULFjB06FCzvoJptn+1idx/PERcZgIAqR5N2POPl4h761Y8vKr3RnGLh4WmPZvTtGdz4FYMm8G++D3sm/ET3gk/0ebwMsKM43RPmw9fz4ev72enb3sOdb6Gun+/mvZ3xZ23d9DDA2680f4kkTlz4LXXYN06SE5W+BMREfflMj2AZnCF/4L45d5P6fH+CDyxkYsfv/Z+hMu+eYzAhs5xK62t0Mb2rzZx5NMl1Fm9kA6Zv+BFkWP5CUtdkpoNhqFX03bcYMJa1Tvv9gwDfvnFfgdxXJx9XkYGXHutfTzBm2+29xCKiIjrcoXf78pSAKyE2n4A/fbhGlrd3Rdf8lkT8Teafv3GHz1xzutkygmS3vgB2/cLaLd3IWHGcceyIjzYFhzH8R5Dibjralr/X0csHmXfBX6m55+Hp56yv65f3/6IudGjoX376voWIiJiptr++10VFAAroTYfQKnrD+HRvRuNbGn8Gn4dlx2YW+2ne6taUX4RSR/9yrHZ39M48Xta520tsTzVowk7Ww/Fd9hQ2j94xTnvLD5+HD74AN5+Gw4f/nN+jx72IHjbbRAQUJ3fREREalJt/v2uKgqAlVBbD6Dc47nsadaX9tnr2OnbnvA9qwluHGx2WZV2+NcD7HprIb5LF9DhyFICyXEss+LDb2F9ONVrCE1HD6bFNW1L9Q4WFsLixTBjBnz/vf29r689FIaFnf1pIiJSW9XW3++qpABYCbXxADJsBqta3EHPvZ9x3BLG6WXraNYvxuyyqlzeyTx+ezeB7P8uICppAc0L95RYftizKbtaDsb72sG0u38goc3rlFielgYffwwnTsCZowjdfjvExNivFezQoQa+iIiIVLna+Ptd1RQAK6E2HkDxQ1+m36LHKMSTra8tIXZ8f7NLqnaGzSDlhx3s//dCglb+QIdj8fjx5yP9CvEkKbgHx/8ymAa3D+KS27vi6eNZajvbtpUMfe3a2YPgzTfDGQ+VERERJ1cbf7+rmgJgJdS2A2jdswvoOvlaPDBIuPld+n75T7NLMkVORg5J768ge85imib9QIv830ssP2mpw+/h/bH2uYJmd15B1JWtsHhYOH0avvvO/szhxYuhoODPdTp1gsmT4brravjLiIhIhdW23+/qoABYCbXpANr9fTINru1OCKdY0fYf9P5ternukHUHB1fuZc/0H/BZ/gNtU5cRSmaJ5Yc9m7I7+go8rryClvcMoFHnCE6ehG+/hf/+F5YssV8vOHeufbxBgL174dAh+40knqU7E0VExES16fe7uigAVkJtOYBOppzgZJu/EFWwi80hvWl76Cd8gjQKclkK8wrZ/sVGjn7xE6HrfqLdyV/wJb9EmxTv1hxo0RfPAf2IubMvPtFNmDcP/v538POzt3nmGXjuOfvj54YOtY8zOGgQhIaa8KVERKSE2vL7XZ0UACuhNhxAhXmFbG4ylK7Hl3DQszl+W9dRv20Ds8uqNXIyckj+z0pOfbuURluX0CZ3Ex6U/Cez17slB6L7Yunfl+gRfWkS14xnnrE/au7EiT/beXlB375w1VX2ZxL7+9fwlxEREaB2/H5XNwXASqgNB1B8zyfpt+oFsgng4FeraHNTJ7NLqtVOppxgx8yV5CyKp2FyAm1yEvHEVqLNIc9I9jW+HGu3npxo15PV2R353yIvx7OIw8Lg6FH7Y+oAVqyAZs0gKqpmv4uIiLuqDb/f1U0BsBKc/QDat2w3EQPb4kMBqx76isvfuMnsklxO5v5MdsxcSfbCBBokxdMme2OJR9UBnCaQHXV7cKTF5exs2JPs9n9h4st1Afuj6Zo1g4MHoUULuOIK6NcPeveGJk1M+EIiIm7A2X+/a4ICYCU4+wG0uun/EXdoDuvrXUW3jMVml+MWTqedZudna8lc+AuBW1bROmN1qZtKwH4d4aHI7uRe+hdmJXVn3u6O5NpKPoQ4OhpGjrRfTygiIlXH2X+/a4KX2QVI9djy3kriDs2hCA9C//Oq2eW4jaDwIGIfHgAPDwDAVmhjx3fbSJvzCx6/riJy/yqaF+4mumAH0Xt2wJ5PuBL7k0p+9+tMUlB31hndWHKsC8kpl3D8+J//RHNyYMQIiIuD7t2hSxddRygiIhdHPYCV4Kz/BWErtJFUJ44O2WtZccnd9En+wOyS5AzHtmew56t1ZC9fS+C2X4nJWEs941ipdjn4szOgEydjuuDRtQvpTbtw6/PtKcB+B7eXF3TsaA+D3bvDgAEQGVnT30ZEpPZx1t/vmqQAWAnOegD9ct/n9Hzvdk4RRO7mnTTsGG52SXIehs3gwIoUDs5dS8HKXwnds5GYzERCOFWqrRUffvdoz2ZLJxKLOrIF+5RBA956Cx54wN7uwAFYvRpiY+3XFhbfcCIiIs77+12TFAArwRkPoNzjuRxreAlNi/YTf8VU+i150uyS5CLYCm3sW7qL1AUbyV+zkZBdG4g5uZE6xsky2x8mgv2hHclr3RGvLpeytag94z9sSx7+BAdD5872U8axsfa/l1wC3t41+pVERJyGM/5+1zQFwEpwxgMofvCL9PthIoc9m1InbTsB9QPMLkmqSHFP4eFFm8lbuwW/HVsIP7qFqIJdZba3YWEPMWyjPdtoTxLt2EZ7fucS/rfEnyuusLdLSrI/ueTSS6FpU7DoATEi4uKc8fe7pikAVoKzHUBHt6Xj26ElIZxi5T8+ptf7d5hdktSA02mn2fv9bxyP34KxZQt19m0h8tQ2wozjZba3YeGgZxRHwi4hp2kbNlsvYW5SG37nEvJCGnFpRwvt20O7dtC2LfTsCQH67wgRcSHO9vttBgXASnC2A2hF+3vpk/Q+SQFduSRzLR5euvDLXRk2g4ykdA7+sI2sNUlYkrYRenDbeYMhQCYh/M4l7KA1u2jJTlrxj5db0un/WlEnui7z5sH27fZg2Lo1xMSAr+85Nyci4pSc7ffbDAqAleBMB9Cu+UlEX3cpntjY/FYCnR7oY2o94pyKg+Hh5dvJXLcdW9LvBBzYTqPjv9O0MKXUU03OdNwSxh6PVvxe1JJdtGQPMaQQQ16TFtRrH06bSyw8/zwEBdXgFxIRuQjO9PttFgXASnCmA2hdw6u57OhC1kQMo8fheabWIrWTNcvKgeW7OLryd6y/7cJzz06Cj+yi0amdRNgOn3fdHPxJIZrshjHkRsRATAw/7ohifUYUvm2iiOwQSkyM/Y7kFi3sPYeBgTX0xUREzuJMv99mUQCsBGc5gDa8uISuEwdRgBeHfkwi6spWptUirik7PZtDK3ZzfO0u8rbuxGPvboKO7KF+1h6aFO07b88hwElC2UsUe4liH83Zb4nihnHNqNOxGfVjI/khsSGnczyIirI/AaV5cw1yLSLVx1l+v82kAFgJznAAFeUXsTs0ltZ5W0no/CB9E980pQ5xXwU5BRxes5+MtXvI3roH2649+B7aTfDxfTTK20cD4+gFt2HFh4M05QCR7KcZB4gk3TeSnLpN8YluwuQZTanXpj4WDws7d9p7D8PDNb6hiFwcZ/j9NpsCYCU4wwH088gZ9J59FyctdTB27qZuizBT6hA5l+z0bFLX7OPEpn3kJu/Ftmcv3of2EpJ5gPo5+2loS71gDyJAHr4c8WrCQVsT9tmacpgmHPdrTE6dxhjhEfjFNKZx1wgefOLPc8tFReDpWZ3fTkRqI2f4/TabAmAlmH0AZe7PJC/6EhrZ0oi/7nX6fTuuxmsQqayCnAKOJB7m+OYDnE4+gHXXfox9+/FNP0jI6UM0zD9II+NIubeXSQgZPo3JCohgV04Eh4vCORkQQV5oOEajcHyjIghrF05MtzCu/asGPRRxR2b/fjsDBcBKMPsASug0lr5b3ibFuxVNjv+GT5BPjdcgUhPyT+eTvjmV41sOcvr3g1j3HKJw70G8jqYSdOowYdZUwosOEUhO+beJN8c8GnLStxGngxqx51RD0oxGnA5shDW0ITRqhF+zhtRp1YDmXetz9d/070vEVZj9++0MFAArwcwDKPmzjbT++2V4YmPjS0vo8ugVNfr5Is7GsBmcOnyKjC2Hyfw9lZxdh8nZk0bhgVS8j6UReDqNunlpNChKpR7nHgvxXE5a6nDCqwGn/BpyIK8B6TTgpF8Ex+q2JDeyNd7tW1O/VV0iI+Hmm/9cLy/PPlainrAi4jwUABUAK8WsA6gov4jksMvpkL2WVc1u4fJ9X9TYZ4u4AmuWlYxtR8jcmU72niPk7TvCqd3pGGlH8D6RTlDOEepYj1Cv6Cj1OVquaxQBMqjHLo/WFEa3pjC6FT4dWvHOlw3YkRGGLbQung3CCA4PpH4DC/Xr2+94fuSRP9dPTrY/ozksDOrU0U0uItVFAVABsFLMOoBW3PY+fb64l0xCyEv8nUadI2rss0Xcja3QxsmUE5zYns7plKPk7D/Kid/TKTh8FO8jB6l3fCdN83bSxDhUru0V4MVxwjhBXU56hOFZry75AXUoDKnLht11OJRT176MOlj962ILqYOlbh0atgplxjehePrY72r5738hJ+fPsFi37p9/AwPV4yhyPgqACoCVYsYBdPS3I3h3vIQ6xkkSbniLvt88UCOfKyLnl52ezcH4XRxfswPr1h14pewk+OhuAvOOEVx4gjq24/iSX+nPySKY056hHLfV4aQRyknqkEUImYSSSShZhFDgH8qwEaF4hYXgF16Hj39tw35rI+rUsYfE0FAcr+vXh8GDz/ge2fZT1l5elS5VxGkpACoAVooZB9DKFiPotedjkv1jaXV8LV5++n9pkdrAsBnkHs8lM+U4p/YdJ+fQCfIOH6cg/QRFx0/C8RNYMk/ideoE3tkn8c09QYD1BMGFJwk2Mit0g0tZDtGYRGLZRGcSiSWRWFKIJiLCwuEzHvTSqxf88ou9FzE09M8pJAQaNoRPPvmz7dy5cOyYfVlw8J9/i1/Xr1+pkkWqjQKgAmCl1PQBtOlfCXR+qB82LCTPXEP7O/9S7Z8pIs6hIKeArAOZnD54kpzUTHJTT2JNP0lhRiZFJzLhZCZkZWE5lYnX6Uz88jPxs2YSZD1GZGEKHpT+v/qThLLNqzNGs2bYfAOwBQSyITmQ9JxAsik55RCAd0gA784KxLduAP71A7llVADx6wKwUXqwxYAAe29isdGjYe3aPwNicLD9udHFYXHq1D9PW69ZAydO2JefPQUEaGxHqTwFQAXASqnJAyj/dD4H6nWmRX4yK9qNoc+26dX6eSLiOk4dPkXKd1s4sSwRjy2bqH8gkZjc36rklDTYB+nOIaDElGsJwLdOAIXe/hT6BrD/aADH8/zty/Anlz9f53sGcM+D/ngF26fpswP4dau/o92Zk4EH+fn2m2UAHnsMEhLsPZZlTZMm2U9pgz2ApqbaQ2RgYOm/oaG6dtJdKAAqAFZKTR5A8UNeot/ixzlqaYD37u3Uia5brZ8nIq4t/3Q+KQuTObpkE4WpR+3dddnZWHKz8czNxjMvG6/8bLzzs/EpyManKBe/wmx8bTkEGNmVPiV9saz4kIc/eR7+WD38ybbZp+KAmIdfib9tOvlh8fcHPz82b/djd6p92dnt8vDj9Xf9qBvhh0+oP+/P8mPhMj+8guyTf5AnAQE4pjfftN+AA7B0KWzebH9+dUCA/e+Zr2Nj/3y2dU6O/Qk1/v66ztJMCoAKgJVSUwfQwV/2UbdXOwLJYeXds+n1wfBq+ywRkfIwbAZ5J/PIOZpNbkY2+Zm5WE/kUJBpnwqzcig6nUvRqRxsp7IxcnIhNxdycrDk5eKRl4NHfi5e1hw8C3LxLsjFuzAHn6JcfIpy8bXl4mez9xP6UGD21yUfb0dwtOJLkZcfBZ726XSBL1kFfy47s10efrSL9cMv1Bf8/Ni225ffdtrnF1h8KfTyw+bti+Hji83Hj/vG+9K0hS/ewX4krPHlp5998Qq0v/cL9cUvwIM/8iwjR0Ljxvb6tm+HpCT7/LMnX197Oz8/e1vDUE+nAqACYKXU1AH0a8R1dE+bz6bQvnQ6vhyLh5v/yxURt1KUX0Tu8VzyTuRiPWmfCrJyyc/MpfDUn5MtJ88+Zedi5ObZA2deHpa8XPtUYMXTmotnQR6eBXl4FebiVZiHd1GePXja8vCx5eFr5OFPLt4Umv3VSynACyu+WPGlwMM+FVp8yDV8yS70dSwrnvLxwYovjSJ98avji+HtQ+pxX3bs9aXQ04dCD1+KPH0o9PLF8PKhyMuXvlf6ENnSF09/H3Yf9OXnX32w+Pni4eeDV4CPPZAG+uAd6MO1N/jQvosv3gHe7N1nYdUqe+D09QUfnz9f+/rax72s+8fJK6vV3hta3K6me0MVABUAK6WyB9D2rzaREf8bvk3qExBZj+Do+tRpWZ+g8CBHyPv1yfl0f+E6CvBi33ebafnXdlX9NUREpAyFeYVYs6xYM/OwnswlPyuPgtNWCk7lUXAqj8LTeRTlWCnKzqMo2x4+jTwrttw8yM2zp5y8PCz5VizWPCz5eXjkW/HIz8OjwIpnYR5ehVa8ivLwtlnxKcrDBys+Nis+Rh6+WPHDavZuKLd8vMnH55yTxdcHi48PRZ4+5BT5cPxUyfYFFh+KLN4UWHyIaO5DvQgf8PbmZI4PW7f7YPP0xubtg83LB7y8Mbzty9vH+tCqnTee/j6cyPZm5Rr7a08/bzz9vPEK8ME7wBvvAG86XeZDh1hv8mx5NGjSwK0DoK5AMFHq9G/plzC51HwrPhz3qE+WT31aWQ8C8EuPCfRT+BMRqTFefl54+XkR2DDQtBoMm0FBTgHWLCv5p+xTwWn7VJht/1uUY39dlGOlKNeKkZePLdeKLdeKYc3HyLPaw+gfk82aj5FrhYJ8PPKtWArz8Sy04lmYj2eRPXR6Gfl4FeXjUZSPV5EVbyMfX8OKN/n4YsWH/FJPyPGh4I/T9dllfxnrH9M5v+wfE8CeP6Y/DDvfTkou+XbA+dr+oXzP9nFtCoAm8oxpzoatVxCYm0FIfgZ1izLwJw9f8omwHSYizz4410HP5lz23VMmVysiIjXN4mHBJ8gHnyAfINjsckooyi8i/3Q++afzKcj+Y/ojnBblFVCYk09RXgFFufkU5eZjy/vjb64Vm/XP+UV5Bdjy8u3BNC8f8vPxteTjZRRgKcinKC+fguwCPArz8SzKx8NWgFeRFU9bAZ62Anw9CuyB1FaAZ1E+nkUFeGNf3xv7Mm9HOJViOgVcCdVxDUFORg4ndmaQtSeDnP0ZWNNOEHXb5TTuHlkl2xcREXFHhs2gMK+QgpwCjqVl0OzS5joFLM4joH4AAfWb0SSumdmliIiIuAyLh8VxLWChTx2zyzGdh9kFiIiIiEjNUgAUERERcTMuFQDfe+89oqOj8fPzo2vXrvz888/nbZ+QkEDXrl3x8/MjJiaG999/v4YqFRERETGPywTAr776ioceeognn3ySxMREevfuzZAhQ9i/f3+Z7VNSUhg6dCi9e/cmMTGRJ554grFjxzJnzpwarlxERESkZrnMXcDdu3enS5cuTJ8+3TGvbdu2DBs2jGnTppVq/9hjjzF//nySk/8cQGjMmDFs3ryZ1atXl+szNZK4iIhI7aPfbxfpAczPz2fDhg0MGjSoxPxBgwaxatWqMtdZvXp1qfZXXXUV69evp6BAYwWJiIiI63KJYWAyMjIoKiqiUaNGJeY3atSItLS0MtdJS0srs31hYSEZGRlERESUWsdqtWK1/jmMeVZWVhVULyIiIlKzXCIAFrNYLCXeG4ZRat6F2pc1v9i0adOYPLn0o9u+/vprAgICKlquiIiImCAnJ8fsEkznEgGwfv36eHp6lurtS09PL9XLVyw8PLzM9l5eXtSrV6/MdSZOnMj48eMd77OysoiMjOTGG29022sIREREapusrCzuuusus8swlUtcA+jj40PXrl1ZsmRJiflLlizh8ssvL3OduLi4Uu1//PFHunXrhre3d5nr+Pr6EhISUmISERERqW1cIgACjB8/ng8//JCZM2eSnJzMuHHj2L9/P2PGjAHsvXfDhw93tB8zZgz79u1j/PjxJCcnM3PmTGbMmMGECRPM+goiIiIiNcIlTgED3HzzzRw7dowpU6aQmppKhw4dWLhwIc2bNwcgNTW1xJiA0dHRLFy4kHHjxvHuu+/SuHFj3nrrLW644QazvoKIiIhIjXCZcQDNoHGEREREah/9frvQKWARERERKR8FQBERERE3owAoIiIi4mYUAEVERETcjAKgiIiIiJtRABQRERFxMwqAIiIiIm5GAVBERETEzSgAioiIiLgZBUARERERN+MyzwI2Q/FT9LKyskyuRERERMqr+HfbnZ+GqwBYCceOHQMgMjLS5EpERESkoo4dO0ZoaKjZZZhCAbASwsLCANi/f7/bHkBVJSsri8jISA4cOOC2D+auCtqPVUf7supoX1YN7ceqk5mZSbNmzRy/4+5IAbASPDzsl1CGhobqH2MVCQkJ0b6sAtqPVUf7supoX1YN7ceqU/w77o7c95uLiIiIuCkFQBERERE3owBYCb6+vkyaNAlfX1+zS6n1tC+rhvZj1dG+rDral1VD+7HqaF+CxXDne6BFRERE3JB6AEVERETcjAKgiIiIiJtRABQRERFxMwqAIiIiIm5GAfAC3nvvPaKjo/Hz86Nr1678/PPP522fkJBA165d8fPzIyYmhvfff7+GKnVuFdmP8fHxWCyWUtPvv/9egxU7pxUrVnDttdfSuHFjLBYL33777QXX0TFZWkX3o47Jc5s2bRqXXXYZwcHBNGzYkGHDhrF9+/YLrqfjsqSL2Y86Lss2ffp0Onbs6BgwOy4ujkWLFp13HXc8HhUAz+Orr77ioYce4sknnyQxMZHevXszZMgQ9u/fX2b7lJQUhg4dSu/evUlMTOSJJ55g7NixzJkzp4Yrdy4V3Y/Ftm/fTmpqqmNq1apVDVXsvLKzs+nUqRPvvPNOudrrmCxbRfdjMR2TpSUkJHDfffexZs0alixZQmFhIYMGDSI7O/uc6+i4LO1i9mMxHZclNW3alBdffJH169ezfv16BgwYwHXXXce2bdvKbO+2x6Mh5/SXv/zFGDNmTIl5l1xyifH444+X2f7RRx81LrnkkhLz/vGPfxg9evSothprg4rux+XLlxuAceLEiRqorvYCjHnz5p23jY7JCyvPftQxWX7p6ekGYCQkJJyzjY7LCyvPftRxWX5169Y1PvzwwzKXuevxqB7Ac8jPz2fDhg0MGjSoxPxBgwaxatWqMtdZvXp1qfZXXXUV69evp6CgoNpqdWYXsx+LxcbGEhERwcCBA1m+fHl1lumydExWLR2TF5aZmQlAWFjYOdvouLyw8uzHYjouz62oqIgvv/yS7Oxs4uLiymzjrsejAuA5ZGRkUFRURKNGjUrMb9SoEWlpaWWuk5aWVmb7wsJCMjIyqq1WZ3Yx+zEiIoIPPviAOXPmMHfuXNq0acPAgQNZsWJFTZTsUnRMVg0dk+VjGAbjx4+nV69edOjQ4ZztdFyeX3n3o47Lc9u6dStBQUH4+voyZswY5s2bR7t27cps667Ho5fZBTg7i8VS4r1hGKXmXah9WfPdTUX2Y5s2bWjTpo3jfVxcHAcOHODVV1+lT58+1VqnK9IxWXk6Jsvn/vvvZ8uWLaxcufKCbXVcnlt596OOy3Nr06YNmzZt4uTJk8yZM4cRI0aQkJBwzhDojsejegDPoX79+nh6epbqpUpPTy/1XwrFwsPDy2zv5eVFvXr1qq1WZ3Yx+7EsPXr0YOfOnVVdnsvTMVl9dEyW9MADDzB//nyWL19O06ZNz9tWx+W5VWQ/lkXHpZ2Pjw8tW7akW7duTJs2jU6dOvGvf/2rzLbuejwqAJ6Dj48PXbt2ZcmSJSXmL1myhMsvv7zMdeLi4kq1//HHH+nWrRve3t7VVqszu5j9WJbExEQiIiKqujyXp2Oy+uiYtDMMg/vvv5+5c+eybNkyoqOjL7iOjsvSLmY/lkXHZdkMw8BqtZa5zG2PR5NuPqkVvvzyS8Pb29uYMWOGkZSUZDz00ENGYGCgsXfvXsMwDOPxxx837rjjDkf7PXv2GAEBAca4ceOMpKQkY8aMGYa3t7fxzTffmPUVnEJF9+Mbb7xhzJs3z9ixY4fx22+/GY8//rgBGHPmzDHrKziNU6dOGYmJiUZiYqIBGK+//rqRmJho7Nu3zzAMHZPlVdH9qGPy3O69914jNDTUiI+PN1JTUx1TTk6Oo42Oywu7mP2o47JsEydONFasWGGkpKQYW7ZsMZ544gnDw8PD+PHHHw3D0PFYTAHwAt59912jefPmho+Pj9GlS5cSt+SPGDHC6Nu3b4n28fHxRmxsrOHj42NERUUZ06dPr+GKnVNF9uNLL71ktGjRwvDz8zPq1q1r9OrVy1iwYIEJVTuf4mEfzp5GjBhhGIaOyfKq6H7UMXluZe1HwPjoo48cbXRcXtjF7Ecdl2UbNWqU4/emQYMGxsCBAx3hzzB0PBazGMYfVzqKiIiIiFvQNYAiIiIibkYBUERERMTNKACKiIiIuBkFQBERERE3owAoIiIi4mYUAEVERETcjAKgiIiIiJtRABQRqQSLxYLFYqFOnTqOec8++yydO3eu9s/u16+f4/M3bdpU7Z8nIq5DAVBEpJI++ugjduzYUSXbmjNnDp6enuzfv7/M5Zdccgljx44FYO7cuaxdu7ZKPldE3IsCoIi4vIKCgmrdfp06dWjYsGGVbOuvf/0r9erVY/bs2aWW/fLLL2zfvp3Ro0cDEBYWRoMGDarkc0XEvSgAikiNMQyDl19+mZiYGPz9/enUqRPffPONY3l8fDwWi4WlS5fSrVs3AgICuPzyy9m+fXuJ7fzvf/+ja9eu+Pn5ERMTw+TJkyksLHQst1gsvP/++1x33XUEBgYydepUAKZOnUrDhg0JDg7mrrvu4vHHH3ecql2xYgXe3t6kpaWV+KyHH36YPn36VOp7p6Sk0LJlS+69915sNhv5+fk8+uijNGnShMDAQLp37058fDwA3t7e3HHHHcyaNYuzn9Q5c+ZMunbtSqdOnSpVj4iIAqCI1JinnnqKjz76iOnTp7Nt2zbGjRvH3//+dxISEkq0e/LJJ3nttddYv349Xl5ejBo1yrHshx9+4O9//ztjx44lKSmJf//738yaNYvnn3++xDYmTZrEddddx9atWxk1ahSfffYZzz//PC+99BIbNmygWbNmTJ8+3dG+T58+xMTE8MknnzjmFRYW8umnn3LnnXde9Hf+7bff6NmzJzfeeCPTp0/Hw8ODO++8k19++YUvv/ySLVu2cOONNzJ48GB27twJwOjRo9mzZ0+J/ZKdnc1///tfR++fiEilGCIiNeD06dOGn5+fsWrVqhLzR48ebdx6662GYRjG8uXLDcD46aefHMsXLFhgAEZubq5hGIbRu3dv44UXXiixjU8++cSIiIhwvAeMhx56qESb7t27G/fdd1+JeT179jQ6derkeP/SSy8Zbdu2dbz/9ttvjaCgIOP06dPn/F6AMW/evBLzJk2aZHTq1MlYtWqVERYWZrzyyiuOZbt27TIsFotx6NChEusMHDjQmDhxYol6hw8f7ng/c+ZMw9/f3zhx4kSJ9VJSUgzASExMPGeNIiJnUw+giNSIpKQk8vLyuPLKKwkKCnJMH3/8Mbt37y7RtmPHjo7XERERAKSnpwOwYcMGpkyZUmIbd999N6mpqeTk5DjW69atW4ltbt++nb/85S8l5p39fuTIkezatYs1a9YA9lOuN910E4GBgRX+vvv37+eKK67gqaeeYsKECY75GzduxDAMWrduXeI7JCQklNgPo0eP5ptvvuHUqVOOWq6//voSdxuLiFwsL7MLEBH3YLPZAFiwYAFNmjQpsczX17fEe29vb8dri8VSYn2bzcbkyZO5/vrrS32Gn5+f43VZoa14W8WMs66xa9iwIddeey0fffQRMTExLFy40HFtXkU1aNCAxo0b8+WXXzJ69GhCQkIc9Xt6erJhwwY8PT1LrBMUFOR4fcsttzBu3Di++uor+vXrx8qVK5kyZcpF1SIicjYFQBGpEe3atcPX15f9+/fTt2/fi95Oly5d2L59Oy1btqzQem3atGHt2rXccccdjnnr168v1e6uu+7illtuoWnTprRo0YKePXteVJ3+/v58//33DB06lKuuuooff/yR4OBgYmNjKSoqIj09nd69e59z/eDgYG688UY++ugj9uzZQ0xMDP369buoWkREzqYAKCI1Ijg4mAkTJjBu3DhsNhu9evUiKyuLVatWERQUxIgRI8q1nWeeeYZrrrmGyMhIbrzxRjw8PNiyZQtbt2513O1blgceeIC7776bbt26cfnll/PVV1+xZcsWYmJiSrS76qqrCA0NZerUqZXucQsMDGTBggUMGTKEIUOGsHjxYlq3bs3tt9/O8OHDee2114iNjSUjI4Nly5Z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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "C_window = .0* 1e-6 # in m\n", "\n", "## interpolate mass absorption coefficient to our energy scale\n", "photoabsorption = x_sections['6']['dat']/x_sections['6']['photoabs_to_sigma']\n", "lin = interp1d(x_sections['6']['ene'], photoabsorption,kind='linear') \n", "mu_C = lin(energy_scale) * x_sections['6']['nominal_density']*100. #1/cm -> 1/m\n", "\n", "\n", "window_Absorption = np.exp(-mu_C * C_window)\n", "\n", "plt.figure()\n", "plt.plot(energy_scale/1000, N_E, '--', color = 'blue', label = 'Incoming Flux');\n", "plt.plot(energy_scale/1000, N_E*detector_Efficiency , color = 'blue', label = f'Detector');\n", "plt.plot(energy_scale/1000, N_E*detector_Efficiency * window_Absorption, color = 'red', label = f'Detector and Window');\n", "\n", "plt.axhline(y=0., color='gray', linestyle='-', linewidth = 0.5);\n", "plt.xlim(0,3)\n", "plt.legend();\n", "\n", "plt.ylabel('intensity [a.u.]')\n", "plt.xlabel('energy [keV]');\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Background Slope at High Energies\n", "While Kramers law gives the approximate shape of the background, the exact slopes is not reproduced.\n", "Several authors intorduced a parametrized function of the Bremsstrahlung efficiency." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "E = energy_scale/1000\n", "Z = 26\n", "E_0 = 30\n", "a = [0, -73.9,1,2446,36.502,148.5, 0.1293,-0.006624,0.0002906]\n", "g = np.sqrt(Z)* (E_0-E)/E *(a[1]+a[2]*E+a[3]*np.log(Z)+a[4]*E**a[5]/Z)*(1+(a[6]+a[7]*E_0)*Z/E)\n", "\n", "\n", "a = [0,54.86,1.072, 0.2835, 30.4,875,-0.08]\n", "g2 = np.sqrt(Z)* (E_0-E)/E *(a[1]+a[2]+a[3]*E_0 +a[4]*np.log(Z)+a[5]*E_0**a[6]/Z**2)\n", "b = [2000,-.6]\n", "f = (b[0]+b[1]*E_0)*Z/E\n", "\n", "plt.figure()\n", "plt.plot(E,g2, label = 'parametrized')\n", "plt.plot(E,N_E/100, label = 'Kramer')\n", "plt.plot(E,g2*detector_Efficiency,label = 'parametrized with Detector')\n", "plt.xlim(0,5)\n", "plt.xlabel('energy (keV)')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fitting Background\n", "\n", "Neither Kramer's Law nor any of the parametrized versions of the Bremsstrahlung are usefull for fitting.\n", "\n", "The following expression is used for fitting purposes:\n", "\n", "$$ N(E) = \\epsilon(E) A(E) \\left[ p_0+ p_1 \\frac{E_0-E}{E} + p_2 \\frac{(E_0-E)^2}{E} \\right]$$\n", "\n", "in which we have the fitting parameters ($p_0, p_1, p_2$) of a polynomial of the overvoltage." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.0, 4.0)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p = [10, 26, 10]\n", "E = E\n", "N = detector_Efficiency * (p[0] + p[1]*(E_0-E)/E + p[2]*(E_0-E)**2/E)\n", "\n", "plt.figure()\n", "plt.plot(E,N_E/200*detector_Efficiency)\n", "plt.plot(E,N)\n", "\n", "plt.xlim(0,4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Now we put all of that together\n", "\n", "and make a function:\n", "\n", "The input is in the form of a dictionary.\n", "\n", "We note that we have several layers that reduce the efficiency and that the detector crystal itself is not really that importantfor the acceleration voltages in an SEM.\n" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'energy (keV)')" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "energy_scale = np.linspace(.1,60,1199)*1000\n", "\n", "tags = {}\n", "\n", "tags['acceleration_voltage_V'] = 30000\n", "\n", "tags['detector'] ={}\n", "tags['detector']['layers'] ={}\n", "\n", "## layer thicknesses of commen materials in EDS detectors in m\n", "tags['detector']['layers']['alLayer'] = {}\n", "tags['detector']['layers']['alLayer']['thickness'] = 30 *1e-9 # in m\n", "tags['detector']['layers']['alLayer']['Z'] = 13\n", "\n", "tags['detector']['layers']['deadLayer'] = {}\n", "tags['detector']['layers']['deadLayer']['thickness'] = 100 *1e-9 # in m\n", "tags['detector']['layers']['deadLayer']['Z'] = 14\n", "\n", "tags['detector']['layers']['window'] = {}\n", "tags['detector']['layers']['window']['thickness'] = 0.0 *1e-9 # in m\n", "tags['detector']['layers']['window']['Z'] = 6\n", "\n", "tags['detector']['detector'] = {}\n", "tags['detector']['detector']['thickness'] = 45 * 1e-3 # in m\n", "tags['detector']['detector']['Z'] = 14\n", "tags['detector']['detector']['area'] = 30 * 1e-6 #in m2\n", "## interpolate mass absorption coefficient to our energy scale\n", "\n", "\n", "def detector_response(detector_definition,energy_scale):\n", " response = np.ones(len(energy_scale))\n", " for key in detector_definition['layers']:\n", " Z = detector_definition['layers'][key]['Z']\n", " t = detector_definition['layers'][key]['thickness']\n", " photoabsorption = x_sections[str(Z)]['dat']/1e10/x_sections[str(Z)]['photoabs_to_sigma']\n", " lin = interp1d(x_sections[str(Z)]['ene'], photoabsorption,kind='linear') \n", " mu = lin(energy_scale) * x_sections[str(Z)]['nominal_density']*100. #1/cm -> 1/m\n", "\n", " absorption = np.exp(-mu * t)\n", " response = response*absorption\n", " Z = detector_definition['detector']['Z']\n", " t = detector_definition['detector']['thickness'] \n", " photoabsorption = x_sections[str(Z)]['dat']/1e10/x_sections[str(Z)]['photoabs_to_sigma']\n", " lin = interp1d(x_sections[str(Z)]['ene'], photoabsorption,kind='linear') \n", " mu = lin(energy_scale) * x_sections[str(Z)]['nominal_density']*100. #1/cm -> 1/m\n", " response = response*(1.0 - np.exp(-mu * t))# * oo4pi;\n", " return(response)\n", "\n", "\n", "p = [10, 26, 10]\n", "\n", "def EDS_Background(p,tags,energy_scale):\n", " E_0= tags['acceleration_voltage_V']\n", "\n", " detector_efficiency = detector_response(tags['detector'],energy_scale)\n", " E = energy_scale\n", " N = detector_efficiency * (p[0] + p[1]*(E_0-E)/E + p[2]*(E_0-E)**2/E)\n", " return N\n", "\n", "background = EDS_Background(p,tags,energy_scale)\n", "\n", "plt.figure()\n", "plt.plot(energy_scale/1000, background)\n", "plt.xlim(0,4)\n", "plt.xlabel('energy (keV)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Navigation\n", "- **Back: [Characteristic X-Rays](CH4_14-Characteristic_X_Rays.ipynb)** \n", "- **Next: [Analyze Spectrum](CH4_16-Analyze_EDS_Spectrum.ipynb)** \n", "- **Chapter 4: [Spectroscopy](CH4_00-Spectroscopy.ipynb)** \n", "- **List of Content: [Front](../_MSE672_Intro_TEM.ipynb)** \n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.11.7" }, "vscode": { "interpreter": { "hash": "838e0debddb5b6f29d3d8c39ba50ae8c51920a564d3bac000e89375a158a81de" } } }, "nbformat": 4, "nbformat_minor": 4 }