{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Calculations with Reference States\n", "\n", "## Experimental Reference States: Formation and Mixing Energy\n", "\n", "By default, energies calculated with pycalphad (e.g. `GM`, `HM`, etc.) are the absolute energies as defined in the database and are not calculated with respect to any reference state.\n", "\n", "pycalphad `Model` objects allow the reference for the pure components to be set to arbitrary phases and temperature/pressure conditions through the `shift_reference_state` method, which creates new properties for the energies that are referenced to the new reference state, `GMR`, `HMR`, `SMR`, and `CPMR`.\n", "\n", "### Enthalpy of mixing\n", "\n", "The enthalpy of mixing in the liquid, analogous to what would be measured experimentally, is calculated and plotted below with the reference states of the pure elements both set to the liquid phase. No temperature and pressure are specified as we would like the reference state to be calculated with respect to the calculation temperature." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2022-02-19T19:18:27.132381Z", "iopub.status.busy": "2022-02-19T19:18:27.132381Z", "iopub.status.idle": "2022-02-19T19:18:28.216231Z", "shell.execute_reply": "2022-02-19T19:18:28.215232Z" } }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2022-02-19T19:18:28.232251Z", "iopub.status.busy": "2022-02-19T19:18:28.230250Z", "iopub.status.idle": "2022-02-19T19:18:30.551328Z", "shell.execute_reply": "2022-02-19T19:18:30.551328Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from pycalphad import Database, calculate, Model, ReferenceState, variables as v\n", "import matplotlib.pyplot as plt\n", "\n", "dbf = Database(\"nbre_liu.tdb\")\n", "comps = [\"NB\", \"RE\", \"VA\"]\n", "\n", "# Create reference states\n", "Nb_ref = ReferenceState(\"NB\", \"LIQUID_RENB\")\n", "Re_ref = ReferenceState(\"RE\", \"LIQUID_RENB\")\n", "liq_refstates = [Nb_ref, Re_ref]\n", "\n", "# Create the model and shift the reference state\n", "mod_liq = Model(dbf, comps, \"LIQUID_RENB\")\n", "mod_liq.shift_reference_state(liq_refstates, dbf)\n", "calc_models = {\"LIQUID_RENB\": mod_liq}\n", "\n", "# Calculate HMR for the liquid at 2800 K from X(RE)=0 to X(RE)=1\n", "conds = {v.P: 101325, v.T: 2800, v.X(\"RE\"): (0, 1, 0.01)}\n", "result = calculate(dbf, comps, \"LIQUID_RENB\", P=101325, T=2800, output=\"HMR\", model=calc_models)\n", "\n", "# Plot\n", "fig = plt.figure(figsize=(9,6))\n", "ax = fig.gca()\n", "ax.scatter(result.X.sel(component='RE'), result.HMR, marker='.', s=5, label='LIQUID')\n", "ax.set_xlim((0, 1))\n", "ax.set_xlabel('X(RE)')\n", "ax.set_ylabel('HM_MIX')\n", "ax.set_title('Nb-Re LIQUID Mixing Enthalpy')\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Enthalpy of formation - convex hull\n", "\n", "Formation enthalpies are often reported in the literature with respect to the pure elements in their stable phase at 298.15 K. The enthalpy of formation of the phases in equilibrium, analogous to what would be measured experimentally, is calculated and plotted below for T=2800 K, with the reference states of the pure elements both set to the stable phases and fixed at 298.15 K and 1 atm." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2022-02-19T19:18:30.561221Z", "iopub.status.busy": "2022-02-19T19:18:30.561221Z", "iopub.status.idle": "2022-02-19T19:18:32.001422Z", "shell.execute_reply": "2022-02-19T19:18:32.001422Z" } }, "outputs": [ { "data": { "image/png": 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IBMY555b4n+Je4F0zewxYALzub38deMvMVvmfb2BoAQORkUTUjSNj4kTIzQUg443xxHbtQkLv3lhcPL59+6h3/vlKmkREiujVJpGJ153J7DW7OLN9o3JJjrp06VJqsfXxmDhxIr169WL48OHcdttt/Otf/wrpuk6dOpGSksLkyZNLPKd///5cc8015RWqVLIKTZCcc1eUcOiDEs4fBYwqpv0/wH+KaV+Dt8qtaHs28PujChaIOuEE2rz9FnGnnsrOv/+dHX97EXw+MCN/+w52jXsD8vMByBg3jjrduhF/5plYXJySJhERv15tEst11Ojcc8/lgQce4NVXX+WGG24AYNGiRezdu7dc+jczHn30UTp06MDy5cs56aSTQrpuxIgRR4wgBfvmm2/o0KFDucQola8qTbGFXVTjxoHao7gzz8ReeRWXm4tFR9Pi+ec4MGs2O1/0J01A7tat7Bo3rlDSFNu1C/FnnEFEfDy+zH3U63sBcT17ApC1YAFZ3/9A3OmnqcZJRCREZsYHH3zAHXfcwejRo6lTpw5t27blueeeK7fnqFu3LnfffTdjxozh9de9yYjgGqTu3bvz5ptvFrqmS5cu9OzZk/nz5wfaCmqQnHPExMQwduzYcotRKpeFUppTW6Smprq5c+cGHhdNaLIWLGDDNUMDSVPrN8ZxYNYsdr74UiBpijrhBPJ27QokTQAxJ51IbNt27PvyS8jPx2JiAoXgSppEpCpbtmwZJ598crjDEClTcX9XzWyecy61hEtKpRGkUsSdemqhpCXu1FNp/ca4IxKaXa++VmikKWvWbHa8eHh6zrc3k33TpkGed8sml53N5tvvoE7XLuz/eib4fF7CNf4NJU0iIiJVgBKkoxRq0mSvBk3P/fUZ8PkCo09ERBB5QmMOfPvd4aTp0CE23XQzsSedSNbceUEjTW8Q11NJk4jIsbr00ktZu3ZtobbRo0dz4YUXlnCFiKbYCik6xXY8iktojpiym7+ADddcE0ia4k5NIXvFSnyZh2/EZnXrEtuxA9lLlx0eaXp9LHGnnaakSUQqnKbYpLrQFFs1UXSkqbi2uJ6n0nr8G0fWOQ0JSprOOJ1DS5cFappcTg7rBw8humVLcjdtAuewqCiaP/8c9fr04WB6upImERGR46QEKcyKnbIrLmm6ZiguJwciI6n/q19xcNGiQGG4y81l8823EFGvHr4DB7z26GiaPvwwDX59EdnLlytpEhEROQqaYgtSnlNs5a3EFXU5OVhUFA0HDiRr/jwOLV5y5MVm4BxERZF8yy3U73sB+bt3kzVvvpImESmVptikuijvKTYlSEGqcoJUnFJvQxAVRaObbyJr1myyZs8uuZOICBr+/vcknHM2LjeXnLXriDvjdCVNIgIoQZLqo7wTpIhyiUrCIu7UU0n+4w2Hb27pX1HXeNgwWo9/g8Z//CONbx+G1akDkZFYbCzNnnicev0u9EaVAHw+9kyaxKabb2Hz7Xew47nnWH/lVWy4/gZ2jR3LznHj2PbUGLKCboSWtWABO195lawFC8LxskWkFtq6dSsDBw6kQ4cO9OrVi4suuoiVK1fStWvXQueNHDmSp59+GoAhQ4aUukVJWloaJ554Ij169OC0004rtBdb27Zt6datGykpKaSkpDBs2LBAny1atODQoUMA7Ny5k7Zt2wKwbt066tatS0pKCj169OAXv/gFK1asCPk1tm3blp07dwYez5gxg4svvjjw+NNPPyU1NZVTTjmFU089lbvvvjvwmlu0aEFKSgpdu3blww8/LPE5gs895ZRTeOeddwLHhgwZQrt27QKv+Re/+AUA48ePJyIigkWLFgXO7dq1K+vWrTviverWrRtTpkyhJlANUg0Tym0IYtq2Zf+MrwK3IWj50ovs+/wL9kye7E3FOcfB+fM5MHNmoJ+MceOIad+e6BYtODBr1uHbEIx7nbhevbSiTkQO2/g9rJsJbc+CVkfsBnXUnHNceumlDB48mHfffReAhQsXsm3btuPue+LEiaSmpvLGG28wfPhwvvjii8CxkjarjYyMZNy4cdx0001HHAverPaVV17h8ccfZ8KECYXOGTlyJG3btmXIkCEhx7l48WJuvfVWPvnkE0466STy8/N59dVXA8fvvPNO7rnnHpYtW8ZZZ53F9u3biYgofgyk4NyffvqJXr168bvf/Y7o6GgAxowZw+9+97sjrmnZsiWjRo1i0qRJxfZZ8F6tWLGCvn37MmDAgJBfW1WlBKkWCCVpioiLY++UKYGkqdXY1zjw9Ux2vvJK4IaXLi+Pg/PnF7p30/pBg70VdRs3BlbUNR31GPX79SN7yRIlTSI1yaf3wdYfSz/nUCZsWwzOBxYBTbpCbP2Sz2/aDX71ZKldTp8+nejoaG688cZAW48ePQIjGOWhd+/ejBkzJqRz77jjDp599lmuv/76Us/LzMwkMbF89qR76qmnGDFiRGCfuMjIyGITtJNPPpmoqCh27tzJCSecUGqfnTp1Ii4ujt27d5d57sUXX8zXX3/NihUrOPHEE0s8rzxfc7gpQaqlQr5L+BtvBJKm5qO9/8QCtyGIjKRe375kL11SaEXdlj/dy5Z77/M6dg4iI2l03XUkpJ2D78ABspcsVdIkUlNl7/WSI/D+zN5beoIUgsWLF9OrV69ijxXsfVZg69at3HPPPUf9HFOnTuWSSy4p1Ba8F9vgwYO58847AWjdujW//OUveeutt/jNb35TbDz79u0jKyuLOXPmHFUcwc+5f//+QEK0ePHiwJRaaebMmUNERASNGzcu89z58+fTqVOnQsnR8OHDeeyxxwBvr7mJEycCEBERwZ/+9KdiR8QK4nbOsWbNGiZPnlz2C60GlCBJQKhJU4m3IcjNxSIjaXTDDWT98ANZBf8x5Oez65VX2PXKK4efzIyEPmnEpZ6Gcz7yd+yk3vnnEZfq1dJpyk6kCipjpAfwptcm9If8HIiMgf8dWy7TbCUJntICb/rqaFx11VXk5OSwf//+Qv1AyVNsAPfffz8DBgzg17/+dYnxTJo0iRtuuIGpU6fy448/cvXVVwNeEhcTExPYbPfLL7+kUaNGRzznjBkzAvVUZXn22Wd5++23qVevHpMmTcIK6kxLOPeNN95g5cqVfPTRR4WOlTTFBnDllVcyatSoI+5KHhz36tWrOe+880hLSyMhISGk2KsqJUhSqpBueFlMIlV0Y9/mTz7BvhkzyJzyYaDO6cCs2ez/7/RAPxnjxxPVvDnRzZtzcMGCwJ3DW7zwPAnnnKObYIpUB61Oh8EflmsNUpcuXUottj4eEydOpFevXgwfPpzbbruNf/3rXyFd16lTJ1JSUkodLenfvz/XXHMNAN26dQskTsdSg9SlSxfmzZtHjx49ij1eUFcUioJzP/zwQ6699lpWr15NnTp1yrwuKiqKu+++m9GjR5d4TocOHWjSpAlLly7l9NMrLjGuDFrFJuWi1BV1b4yjfr9+JF5+ORYb662oq1OH1uNeJ/mmG6GgkNCMiLi65KxZ49053DlcTg6bbryJFT17sf7Kq9jx7LOsv3oQO/72Igd//JH933yrFXUiVU2r0+Gsu8tt5Ojcc8/l0KFDhYqSFy1axMaNG8ulfzPj0UcfZfbs2Sxfvjzk60aMGFHqCM8333xDhw4dyiNEhg8fzuOPP87KlSsB8Pl8vPzyy8fVZ//+/UlNTS12yqwkQ4YMYdq0aezYsaPY49u3b2ft2rW0adPmuGKrCjSCJBUm9Dqn8YGRpmaPPgpw+CaYkZE0vOIKDi5cSPbChV5HeXnsfOkldr700uEnMyP+rLOI63kqzucjb9cu6p13Hgn+ZaqashOpvsyMDz74gDvuuIPRo0dTp04d2rZtG5iiKg9169bl7rvvZsyYMbz++utA4Xqg7t278+abbxa6pkuXLvTs2ZP5QbdBKahBcs4RExPD2LFjyyW+7t2789xzz3HFFVeQlZWFmRW6BcCx+vOf/8yVV14ZKDgPrkEC+P777wudHxMTw7Bhw7j99tsLtRe8V7m5uTz55JM0adLkuGMLN90oMkh1u1FkTRHSxr5FboLZ7LFH2f/1TDI//tibsgMiEhLw7d9fqO+I+vWJatqUnFWrAncTb/rwn6l33nnkrF1H1g9KmkRKoxtFSnWhO2lXICVIVVupSVN0NK3fGMeBb79l5//9PXBrgjpdupC/Z4+3sW9JIiKof/HFxJ2WijuUQ+6Wn6l37rnE+VfNaPRJajMlSFJdlHeCpCk2qTZCnrIb+3ogaWoy4gGAQqvskocNI+uH7znw1ddeRz4fmR9/TGbQ3WczXh9HVNOmRJ1wAtlLvNsYWFQUTR95hHoXnM+hn35S0iRSTVx66aVHrLwaPXo0F154YZgiqnijRo3ivffeK9T2+9//nhEjRoQpoupHI0hBNIJUMxz1lF10NK3Hvsa+/04n4403vKk4M2I6dsS3dy9527eX/GQREdS76CLie/XEd+gQuVu2Uu+8c4kPWr2hESipzjSCJNWFptgqkBKk2iWUKTsoPPrU6KabjtiGhYiIwI0yC0Q2bEhM27ZYfLy3WbB/BKr56NEknH9esXcZVyIlVZESJKkuNMUmUk5CvjFmMfd4yvrhh8OJ1LjX2Td9Bhmvvx6ofYpq0QKLjSX7xx+9Wxbg3WV88113FQ4iIoL6v76IyOTG7Hn7bVx+vtfn+DcOP5eSJhGRSqcRpCAaQZJQhTL6VKg9JweLiiLp2qEcTF9I1qxZhzsrZgTKYmOJatrU2+PO54OoKJJvvon43r3Jy9hNzk8riTvjDI0+SYXTCJJUF5piq0BKkOR4lJSklJlMjXudvN17+PnOOw/vcdenD4dWrSKnmFv6B4s58USikpMLTeM1+ctI6qWlkbNu/RG3MVAiJUdLCZJUF0qQKpASJKksx3rvpwPffcfef08J3PspukUL8vfvx7d3b8lPZkbc//yCqKRGZP7nP+CfxmvxwvMknH02BxcuVD2UlKgqJEgJCQnsD7rH2fjx45k7dy4vvvgiAG+++SZPPfUUZkZUVBRXXXUV99xzD0OGDOGrr76iQYMGRERE8NJLL9G7d+9inyP4XOccf/3rXznvvPMASEtLY8uWLdStWxeAjh078v777zNy5Eieeuop1q1bF9jwNTjWyMhIunXrhnOOyMhIXnzxRX7hv3mtlD/VIInUAMe6x110y5Zkfjr18B53T48BKDSN1+jWW8iev4D9X30V2Pcue+EifAcOBKbyCrZwITIyUCNFRAT1LryQqKQkdk+eHEikWr32KvGnnx5SUicCkL49nbnb5pLaJJWUE1Iq9Lk+/fRTnnvuOT7//HOaN2/OoUOHCt3xumDz1c8//5w//vGPLFq0qMS+Cs6dPn06N9xwAz/99FPg2MSJE0lNPfLnbHJyMs8880yx+5PVrVs3sP/aZ599xv33389XX311HK9WKpMSJJEq7HgKyQ/Mnh1IpFq9+go4V2hFXsM/XMWhxUvI+uEHr3Ofj31ffAF5eYHnc4cOsWHQYCLi4/FlZXkJV2Qk9fv/hqjERHa/FVRYPnYscaelKpGqwUZ/P5rlGaXvVbY/Zz8rdq/A4TCMExNPJCGm5F3dT0o6iXtPv/eYY3riiSd4+umnad68OQCxsbGBbTOCnX322axatSqkPnv37s3mzZtDOnfo0KGMHz+ee++9l6SkpBLPy8zMJDExMaQ+pWpQgiRSzRzr6BNA6/FvlFEPNQ5fVhabbr4Zl5cHkZE0vPRSspcvJ7vgN+/8fDKDpvnAS6TWX301EfXr49u373AidfHFRCYlsuftiYFEqtWrrxB/xhlKpGqofbn7cHh/NxyOfbn7Sk2QQnHw4EFSUlICjzMyMujfvz8Aixcvppf/rvel+eijj+jWrVtIzzd16lQuueSSQm1XXXVVYIrtggsuYMwYb/Q2ISGBoUOH8vzzz/OXv/yl2Lizs7PZsmUL//3vf0N6fqkalCCJ1FDHlUhNGF96IvX6WPL27uXnO+70EqmICBoMGMChlSu9WxuAl0h9+OERidSGwUOwuDjcwYPeMf/UXmTDBux5/5+Ql+fVSD3/nFcjtWiREqkqIpSRnvTt6Vz/+fXk+nKJjojmybOePO5ptuCpKjhcgxSKgs1XGzduHNiEtrRzH3jgATZt2sSs4JWmlDzFBjBs2DBSUlK45557Sox71qxZDBo0iMWLF2NmIcUu4aUESaSWO55EKiqERCp/3z42D7u98IjUypVkF/zA8/nYP22at4LPz+XksOmmm8HscIIVEUFc795ENmjAvs8/92qkoqJo+shfiP/FL8jdsJGs+fOVSIVZygkpvNb3tUqrQerSpQvz5s3j3HPPLfZ4QV1RKArO/dvf/sbQoUOZN29eSNc1bNiQK6+8kpdeeqnEc3r37s3OnTvZsWNHoKBbqjYlSCISkgodkXpjHC47m4033hRUI/UHDi1dStacOV7nPh/ZP/7o1UL566Rcbi5b7n+gcKBmxJzYmaj6DciaN88rTI+MJPmWW4jr1ZO87ds5tGo1CWefRVzPnoASqfKWckJKhSdGBe6//36GDx/OJ598QtOmTcnJyeHNN9/kuuuuO+Y+b731VsaNG8dnn30W8n5td911F6eddhp5QTV8wZYvX05+fj6NGjU65rikcilBEpFyVZE1Uq1eeRkcbLjmmsDtDxrdegvZCxex/7//Dazac/v2c2j7jsMr9PLy2Pn884Vi2vXyy0TUr09k/Xrk/rwFnMNiYwM3+ZTq4aKLLmLbtm2cf/75OOcwM4YOHXpcfZoZDz74IE899VQgQQquQUpOTmbatGmFrklOTubSSy/l2WefDbQF104555gwYQKRkZHHFZtUHt0HKYjugyRS9RzT5sNF99GLiqLpI4+Q9f337P3XvwIbEtfp2hXfwSxyVq32niwyksbDhpH8xxvC9XKrnKpwHySRUOg+SCJSqxzXiFSRtpjWrcj85JNAItXkgfsBCiVXcaefVnkvTkSqLCVIIlIjlGciJTXXLbfcwrfffluo7fbbb+eaa64JU0RSVSlBEpFaJZRESmqu0laaiQSLCHcAIiIiIlWNEiQRERGRIpQgiYiIiBShBElERESkCCVIIiJSpSUkHLnZ7ciRI3n66acB7yaMjz32GJ06daJz586cc845LCrYXLmY68ePH8+tt956RD9DhgyhXbt29OjRg86dOzNo0CA2bdpUamxt27alW7dudO/enXPOOYf169cHjkVGRpKSkhL4evLJJwFIS0srtK/b3LlzSUtLA2DGjBk0aNCAlJQUunfvzvnnn8/27dtDfaukHClBEhGRcpW1YAE7X3mVrAULKuX5XnrpJb777jsWLlzIypUrGTFiBP379+fAgQNH3deYMWNYuHAhK1as4NRTT+Xcc88lJyen1GumT5/OokWLSEtL47HHHgu0F2xWW/B13333BY5t376dTz/9tNj+zjrrLNLT01m0aBGnnXaaVt6FiZb5i4hISLY+/jiHli0v9Zz8/fs5tHx54G7lsSedRGQxI0AFYk8+iaYPPFDi8VCMHj2ar776iri4OAD69u3LWWedxcSJE7nhhmO7K7qZceedd/LBBx/w6aefMmDAgDKv6d27Ny+88EJI/Q8fPpxRo0bxq1/9qsRznHPs27ePjh07hhy3lB+NIImISLnxZWZ6yRGAc97jCpSZmcmBAwdo3759ofbU1FSWLl163P337NmT5ctLTwoLTJ06lUsuuSTwuGAvtoKvSZMmBY717t2bmJgYpk+ffkQ/M2fOJCUlhdatWzNt2rTj3ltOjo1GkEREJCShjPQU3Rev+dNjquRNOM0spPNC2a+0T58+ZGRkkJCQwKOPPhpoL5hiK8mDDz7IY489xujRowu1n3XWWXz88ceANzr2pz/9iZdffjmkeKX8aARJRETKTcF2Lo2HDaP1G+MqPDmqX78+8fHxrFmzplD7vHnzAoXQdevWLVRHlJGRQXJyckj9L1iwoMzNeqdPn8769etJSUnh4YcfDjn2c889l4MHDzJ79uwSz+nfvz9ff/11yH1K+VGCJCIi5Sru1FNJ/uMNlTZyNHz4cIYNG8bBgwcBmDZtGkuWLOF3v/sdAOeccw5vv/024E17TZ48mT59+pTap3OOF154gS1bttCvX78yY4iKiuK5557jzTffJCMjI+TYH3zwQZ566qkSj3/zzTd06NAh5P6k/FToFJuZjQMuBrY757r625KASUBbYB1wmXNut3njnc8DFwFZwBDn3Hz/NYOBB/3dPuacm+Bv7wWMB+oC/wFud865kp6jIl+riIhUjKysLFq2bBl4fNdddxU6ftttt7Fnzx66d+9Obm4uOTk5LF68mDp16gDw/PPP88c//pEXXngB5xyDBg3i7LPPLva5hg8fzqOPPkpWVhZnnnkm06dPJyYmJqQ4mzVrxhVXXMFLL73EQw89FKhBKtCvX7/AUv8CF110EY0bNy7UVlCD5JyjQYMGjB07NqTnl/JlocyvHnPnZmcD+4E3gxKkp4AM59yTZnYfkOicu9fMLgJuw0uQzgCed86d4U925gKpgAPmAb38SdX3wDBgDl6C9IJz7tOSnqOseFNTU93cuXPL+V0QEam+li1bVuYUU1Wyf/9+Lr30Uk477TQef/zxcIcjlai4v6tmNs85l1rCJaWq0BEk59zXZta2SPMAIM3//QRgBnCvv/1N52Vss82soZk185/7hXMuA8DMvgD6mdkMoL5zbra//U3gEuDTUp5DRERqsISEBL744otwhyE1QDhWsTVxzm3xf78VaOL/vgWwMei8Tf620to3FdNe2nMcwcxuAG4AaN269dG+FhERqQXOOOMMDh06VKjtrbfeolu3bmGKSCpaWJf5++uFKm6OL4TncM69CrwK3hRbRcYiIiLV05w5c8IdglSycKxi2+afOsP/Z8EmM5uBVkHntfS3ldbespj20p5DRCQkW9fsZd7UdWxdszfcoYhIGIQjQfoQGOz/fjAwJah9kHnOBPb6p8k+A/qaWaKZJQJ9gc/8xzLN7Ez/CrhBRfoq7jlERMq0dc1ePnhmPrP/vYYpzy5QkiRSC1X0Mv938Iqlk81sE/Aw8CQw2cyuBdYDl/lP/w/eCrZVeMv8rwFwzmWY2aPAD/7zHiko2AZu5vAy/0/9X5TyHCIiZdq8cje+fG/GPT/fx+aVu2navkGYoxKRylTRq9iuKOHQecWc64BbSuhnHDCumPa5QNdi2ncV9xwiIqFo0TkRizCczxEZGUGLzonhDklEKpnupC0iUkTT9g049QJvVet5Q07W6FGYJSQkHNE2cuRInn76acC76/Vjjz1Gp06d6Ny5M+eccw6LFi0q8frx48dz6623HtHPkCFDaNeuHT169KBz584MGjSITZs2UZq2bdvSrVs3unfvzjnnnMP69esDxyIjIwttVltwk8i0tLTANigAc+fOJS0tDYAZM2bQoEEDUlJS6N69O+effz7bt4deRjtq1Ci6dOlC9+7dSUlJCRSXp6WlUXCfv/3793PTTTfRoUMHevbsSa9evXjttdcAWLduHWbGgw8+GOhz586dREdHB96zAikpKQwcOLBQW8F7mJKSQo8ePfjyyy8Dx9LS0jjxxBMD70fBnc5HjhxJXFxcodcZ/JkVvI89evSgZ8+efPfddyG/H8dDCZKISDHa9fD26oqM0n+TR6uyC9xfeuklvvvuOxYuXMjKlSsZMWIE/fv358CBA0fd15gxY1i4cCErVqzg1FNP5dxzzy20j1txpk+fzqJFi0hLS+Oxxx4LtBdsVlvwdd999wWObd++nU8//bS47jjrrLNIT09n0aJFnHbaabz00ktHnDNkyBBmzJhRqG3WrFl8/PHHzJ8/n0WLFjFt2jRatWp1xLXXXXcdiYmJ/PTTT8yfP5+pU6cW2h6lXbt2fPLJJ4HH7733Hl26dCnUx7Jly8jPz2fmzJlHvM9jxowhPT2d5557jhtvvLHQsYkTJwbej/fffz/QnpyczDPPPFPs+1HwPi5cuJAnnniC+++/v9jzyltYl/mLiFRVic3iAcjYcoB2PRqXcXbtMHPySnZu3F/qOTkH89i5eb+374FBcosEYuqW/KMmuVUCZ13W+bjiGj16NF999RVxcXEA9O3bl7POOouJEydyww03HFOfZsadd97JBx98wKeffsqAAQPKvKZ379688MILIfU/fPhwRo0axa9+9asSz3HOsW/fPjp27BhSn1u2bCE5OZnY2FiAYjfkXb16Nd9//z3/+Mc/iIjwkv/GjRtz772H76UcFxfHySefzNy5c0lNTWXSpElcdtll/Pzzz4Fz3nnnHa6++mqWLVvGlClTuPLKK494rt69e7N58+Yj2oszdOhQxo8fz7333ktSUlKJ52VmZpKYWDlT3vrVSESkGLF1o0hIjCXj56MfhajNDh3M85IjAOd/XIEyMzM5cOAA7du3L9SemprK0qVLj7v/nj17snz58pDOnTp1KpdcckngccFebAVfkyZNChzr3bs3MTExTJ8+/Yh+CvZia926NdOmTWPo0KEhPX/fvn3ZuHEjnTt35uabb+arr7464pwlS5bQo0ePQHJUkoEDB/Luu++yceNGIiMjad68eaHjkyZNYuDAgVxxxRW88847xfZR9P0AuOqqqwLvx/DhwwPtCQkJDB06lOeff/6Ifgrex5NOOonrrruOhx56qNTYy4tGkERESpDULJ6MLUqQCoQy0rN1zV6mPLuA/HwfkZER9L22S5Ws4fLuDlO2UPYr7dOnDxkZGSQkJPDoo48G2gumhkry4IMP8thjjzF69OhC7WeddRYff/wx4I2O/elPf+Lll1/ms88+C4z0bNiwgW+++YaEhARiY2OZM2cOCQkJzJs3j5kzZzJ9+nQuv/xynnzySYYMGVJiDKNGjeK9995j+/bthUaI+vXrx0MPPUSTJk24/PLLC10zd+5ckpOTad26NS1atGDo0KFkZGQERn6GDx/OAw88wKZNm5g1a1ahaydOnFio/irYsGHDSElJ4Z577inUHvw+zpo1i0GDBrF48eKQP8NjpREkEZESJDaPZ/fWLHw+3WQ/VE3bN2DAnadyRv/2DLjz1ApPjurXr098fDxr1qwp1D5v3rzAD+K6desWqiPKyMgodvqpOAsWLChzs97p06ezfv16UlJSePjhh0OO/dxzz+XgwYPMnj27xHP69+/P119/DcCFF14YqN/p378/Y8eOJT09vdBdviMjI0lLS+Mvf/kLL774Iv/85z8L9XfKKaewcOFCfD4fACNGjCA9PZ3MzMxC58XExNCrVy+eeeaZQDF1gXfeeYfly5fTtm1bOnToQGZmZqHnGTNmDCtXrmT06NEhj34BNGzYkCuvvLLYmqsCvXv3ZufOnezYsSPkfo+VEiQRkRIkNYsnP9dH5o6D4Q6lWmnavgG9+rWttJGj4cOHM2zYMA4e9D6nadOmsWTJksAP9nPOOYe3334b8KZrJk+eTJ8+fUrt0znHCy+8wJYtW+jXr1+ZMURFRfHcc8/x5ptvFip4LsuDDz7IU089VeLxb775hg4dOoTU14oVK/jpp58Cj9PT02nTpk2hczp27EhqaioPPvgg+fn5AGRnZxc7Unb33XczevToQjVBPp+PyZMn8+OPP7Ju3TrWrVvHlClTip1mu/XWW/H5fHz22WchxQ9w11138corr5CXV/zU7PLly8nPz6dRo0Yh93msNMUmIlKCpOaHC7UbNokLczS1V1ZWFi1bHt5Z6q677ip0/LbbbmPPnj10796d3NxccnJyWLx4MXXq1AHg+eef549//CMvvPACzjkGDRrE2WefXexzDR8+nEcffZSsrCzOPPNMpk+fTkxMTEhxNmvWjCuuuIKXXnqJhx56KFA7U6Bfv36Bpf4FLrroIho3LrwIoKAGyTlHgwYNGDt2bEjPv3///sB7ERUVRceOHXn11VePOG/s2LEMHz6cjh070qhRI+rWrVtsktalS5cjVq/NnDmTFi1aFKpJOvvss1m6dClbtmwpdG7B7QKeeuopLrzwQsCrQapbty7gFZFPmzat0DXJyclceumlPPvss4G24PfROceECROIjIwM6T05HhbK/GptkZqa6gruEyEikpOdx2t3fM0Z/duTelHbcIcTFsuWLStziqkq2b9/P5deeimnnXYajz/+eLjDkUpU3N9VM5vnnCu+6KkMGkESESlBTJ0oEpJiVahdjSQkJPDFF1+EOwypAZQgiYiUIqlZgpb6C2eccQaHDh0q1PbWW2/RrVu3MEUkFU0JkohIKZKax7NpRQa+fB8RkVrXUlsFrxST2kH/2kVESpHULB5fniNzZ3a4QxGRSqQESUSkFIGVbJpmE6lVlCCJiJQisam3vD9jS+l7kIlIzaIESUSkFDF1oqjXqI5GkMJs1KhRdOnShe7du5OSksKcOXNIS0uj4NYs+/fv56abbqJDhw707NmTXr168dprrwGwbt26wD15CuzcuZPo6GhuvfXWQs+TkpLCwIEDC7UNGTKEdu3akZKSQo8ePfjyyy8Dx9LS0jjxxBMD+4sV3Jxy5MiRxMXFsX379sC5CQkJge8jIyMD/fXs2ZPvvvuunN4pKS9KkEREypDUXHuyhdOsWbP4+OOPmT9/PosWLWLatGm0atWq0DnXXXcdiYmJ/PTTT8yfP5+pU6cWuqN1u3bt+OSTTwKP33vvvSNugrhs2TLy8/OZOXMmBw4U/rzHjBlDeno6zz33HDfeeGOhYxMnTgxsAfL+++8H2pOTk3nmmWeKfU0F+4stXLiQJ554gvvvv//o3hSpcEqQRETKkNQsnt3bsvDl+8IdSrXw88plzPlgMj+vXFYu/W3ZsoXk5GRiY2MBL/EIvpPz6tWr+f7773nssccCu9Q3btw4sLErQFxcHCeffHJgxGnSpElcdtllhZ7nnXfe4eqrr6Zv375MmTKl2Fh69+7N5s2bQ4p76NChTJo0qcytRzIzM0lMTAypT6k8WuYvIlKGpObeSra9Ow6S2DQ+3OGEzfTxr7J9/ZpSzzmUlcXO9WtxzmFmJLdpR2xcydu0nNCmPX2G3FBqn3379uWRRx6hc+fOnH/++Vx++eWcc845geNLliyhR48egeSoJAMHDuTdd9+lSZMmREZG0rx580I72E+aNIkvvviC5cuX87e//Y0rr7zyiD6mTp3KJZdcUqgtePuMCy64gDFjxgDelNrQoUN5/vnn+ctf/lLomoLtM7Kzs9myZQv//e9/S41dKp8SJBGRMiQ1O7ySrTYnSKE4lHUgsPGpc45DWQdKTZBCkZCQwLx585g5cybTp0/n8ssvP2JPs2CjRo3ivffeY/v27YUSoH79+vHQQw/RpEkTLr/88kLXzJ07l+TkZFq3bk2LFi0YOnQoGRkZgY1ahw8fzgMPPMCmTZuYNWtWoWsnTpxIamrxu1kMGzaMlJQU7rnnnkLtBVNs4E0hDho0iMWLF2NmIb8vUrGUIImIlCGxWTyYt2ltaPuq10xljfSAN7323qMjyM/LIzIqil/fdg/NOx//Xm6RkZGkpaWRlpZGt27dmDBhQuDYKaecwsKFC/H5fERERDBixAhGjBhRqCgaICYmhl69evHMM8+wdOlSPvzww8Cxd955h+XLl9O2bVvAm/b65z//yfXXXw94NUi/+93v+Nvf/sbQoUOZN29eSHE3bNiQK6+8kpdeeqnEc3r37s3OnTvZsWMHJ5xwQqhviVQw1SCJiJQhOiaS+lrJFpLmnU/m9w+N4n8u+wO/f2hUuSRHK1as4Keffgo8Tk9Pp02bNoHHHTt2JDU1lQcffJD8/HwAsrOzKW4z9rvvvpvRo0cHRoYAfD4fkydP5scff2TdunWsW7eOKVOm8M477xxx/a233orP5+Ozzz4LOf677rqLV155hby8vGKPL1++nPz8fBo1ahRyn1LxNIIkIhKCpOYJWskWouadTy6XxKjA/v37ue2229izZw9RUVF07NiRV199NbCkHmDs2LEMHz6cjh070qhRI+rWrctTTz11RF9dunQ5YvXazJkzadGiRaHC77PPPpulS5eyZcuWQucW3C7gqaee4sILLwQK1yAlJyczbdq0QtckJydz6aWX8uyzzwbaCmqQwJuKnDBhApGRkcfw7khFseIy7NoqNTXVFaxwEBEJNuuD1aRP28ANL5xDZC3ak23ZsmWcfHL5JTsiFaW4v6tmNs85V3yBWBlqz79yEZHjkNQ8Hl++Y++2g+EORUQqgRIkEZEQBFayaZpNpFZQgiQiEoKCPdkWf72JrWv2hjkaEaloSpBEREKwc5O3We3mFXuY8uwCJUkiNZwSJBGREGxeuTvwfX6+r9BjEal5lCCJiISgRedELMK7y3FEZAQtOmvvLJGaTAmSiEgImrZvQOpF3s0J+/zhRJq2bxDmiESkIilBEhEJUfuUxoA3giSVa9SoUXTp0oXu3buTkpLCnDlzSEtLo+Dedfv37+emm26iQ4cO9OzZk169evHaa68BsG7dusANHgvs3LmT6Ohobr311kLPk5KSwsCBAwu1DRkyhHbt2pGSkkKPHj348ssvA8fS0tI48cQTSUlJISUlJXDzypEjRxIXF8f27dsD5wZvfRIZGRnor2fPnnz33Xchvxe5ubncd999dOrUiZ49e9K7d28+/fRTANq2bcvOnTsD586YMYOLL74YgPHjxx/xeoONHDmSFi1akJKSwimnnFLoTuLB70FKSgq/+MUvAn1GRESwaNGiwLldu3Zl3bp1gXi6detGSkoK3bp1Y8qUKSG/znDTv3IRkRA1bBKHGdpypAyH1meSOX0jh9Znlkt/s2bN4uOPP2b+/PksWrSIadOm0apVq0LnXHfddSQmJvLTTz8xf/58pk6dSkZGRuB4u3bt+OSTTwKP33vvvSPuqL1s2TLy8/OZOXMmBw4U/ozHjBlDeno6zz33HDfeeGOhYxMnTiQ9PZ309HTef//9QHtycjLPPPNMsa+pYLPahQsX8sQTT3D//fcfcc748eMZOXLkEe0PPfQQW7ZsYfHixcyfP59///vf7Nu3r9jnOVp33nkn6enpTJkyhT/+8Y/k5uYGjhW8B+np6YUSupYtWzJq1KgS+5w+fXrgvRk2bFi5xFkZtNWIiEiIoqIjaXBCXK29F9Kej1aTU0Zy6MvOI2/rAXCAQVTTeCLqlPyjJqZ5PA1/U/oWwFu2bCE5OZnY2FjASzyCrV69mu+//55//OMfRER4v/c3btyYe++9N3BOXFwcJ598MnPnziU1NZVJkyZx2WWX8fPPPwfOeeedd7j66qtZtmwZU6ZM4corrzwilt69e7N58+ZS4y0wdOhQxo8fz7333lto77eiMjMzSUwMraYtKyuL1157jbVr1wbejyZNmnDZZZeFdH2oOnXqRFxcHLt37y5zA92LL76Yr7/+mhUrVnDiiSeWeN7RvM6qQCNIIiJHIalZvEaQSuGy87zkCMD5Hx+nvn37snHjRjp37szNN9/MV199Vej4kiVL6NGjRyA5KsnAgQN599132bhxI5GRkYX2XgOYNGkSAwcO5Iorrih2o1qAqVOncskllxRqu+qqqwJTT8OHDw+0JyQkMHToUJ5//vkj+inYi+2kk07iuuuu46GHHio19gKrVq2idevW1K9fv8Rz+vTpE4jnuuuuC6nfoubPn0+nTp0KJUfDhw8P9HvVVVcF2iMiIvjTn/7E448/XmI8Xbt25ZxzzuGxxx47pnjCQSNIIiJHIal5PGsX7SQ/10dkdO36HbOskR7wptd2jv0Rl+fDoiJIGngSsW1K/mEeioSEBObNm8fMmTOZPn06l19+OU8++WSJ548aNYr33nuP7du3Fxoh6tevHw899BBNmjTh8ssvL3TN3LlzSU5OpnXr1rRo0YKhQ4eSkZERGPkZPnw4DzzwAJs2bWLWrFmFrp04cSKpqcVv9zVs2DBSUlK45557CrUXTLGBN4U4aNAgFi9eTEZGBueddx4AGRkZ5OTk8O9//xuAt956q+w3C29Kq2CUbcaMGTz99NMhXQfw7LPP8sYbb7By5Uo++uijQsfGjBlTaIPgYFdeeSWjRo1i7dq1JcazevVqzjvvPNLS0grVY1VVtetft4jIcUpqFo/zOXZvywp3KFVSbJv6JF/Xjfp925J8XbfjTo4KREZGkpaWxl/+8hdefPFF/vnPfwaOnXLKKSxcuBCfzwfAiBEjSE9PJzOzcA1UTEwMvXr14plnnjniB/0777zD8uXLadu2LR06dCAzM7PQc4wZM4aVK1cyevRohg4dGnLcDRs25Morr+Sll14q8ZzevXuzc+dOduzYQaNGjQJ1Po888gg33nhj4HG3bt3o2LEjGzZsOOK1lZc777yTJUuW8M9//pNrr72W7OzskK6Liori7rvvZvTo0SWe06FDB5o0acLSpUvLK9wKpQRJROQoJDUv2JNtf5gjqbpi29Snfp9W5ZYcrVixgp9++inwOD09nTZt2gQed+zYkdTUVB588EHy8/MByM7Oxjl3RF8FP8SDa4J8Ph+TJ0/mxx9/ZN26daxbt44pU6YUO81266234vP5+Oyzz0KO/6677uKVV14hL6/46cbly5eTn59Po0aNyuwrLi6Oa6+9lttvv52cnBwAduzYwXvvvRdyPKHo378/qampTJgwIeRrhgwZwrRp09ixY0exx7dv387atWsLfXZVmRIkEZGj0PCEOCzCVIdUifbv38/gwYM55ZRT6N69O0uXLj1iddfYsWPZtWtXIFm64IILeOqpp47oq0uXLgwePLhQ28yZM2nRokWhmqSzzz6bpUuXsmXLlkLnFtwuILjv4Bqk888//4jnTE5O5tJLL+XQoUOBtoIapJSUFC6//HImTJhAZGRkSO/HY489RuPGjTnllFPo2rUrF198cak1Scfqz3/+M3/9618DI3PBNUgpKSmBBK1ATEwMw4YNK3RrAzhcE9WnTx+efPJJmjRpUu6xVgQrLsOurVJTU13BPTVEREryj5Gzadgkjotu6h7uUCrcsmXLOPnkk8MdhkiZivu7ambznHPFF4iVQSNIIiJHKalZfK1d6i9SWyhBEhE5SonN48nccZC83PxwhyJy1EaNGlVoqiwlJaXUGz3WVlrmLyJylJKaxeMc7N6aReNW9cIdToVzzmFm4Q5DysmIESMYMWJEuMMoVxVRLqQRJBGRoxRYyVYLCrXr1KnDrl27KuQHkEh5cM6xa9cu6tSpU679agRJROQoNTwhjogIqxV1SC1btmTTpk0lLt0WqQrq1KlDy5Yty7VPJUgiIkcpMiqCBk3iasUIUnR0NO3atQt3GCKVTlNsIiLHQCvZRGq2sCVIZna7mS02syVmdoe/LcnMvjCzn/x/JvrbzcxeMLNVZrbIzHoG9TPYf/5PZjY4qL2Xmf3ov+YFU4WhiJSjpObxZO48SG6OVrKJ1ERhSZDMrCtwPXA60AO42Mw6AvcBXzrnOgFf+h8D/Aro5P+6Afi7v58k4GHgDH9fDxckVf5zrg+6rl/FvzIRqS2SmsWDgz1btSebSE0UrhGkk4E5zrks51we8BXwW2AAULDxywTgEv/3A4A3nWc20NDMmgEXAl845zKcc7uBL4B+/mP1nXOznbf04s2gvkREjtvhlWzak02kJgpXgrQYOMvMGplZHHAR0Apo4pwr2PhmK1CwYUsLYGPQ9Zv8baW1byqmXUSkXDQ4oS4RkbVjJZtIbRSWVWzOuWVmNhr4HDgApAP5Rc5xZlbhN94wsxvwpu1o3bp1RT+diNQQkZERNKwlK9lEaqOwFWk75153zvVyzp0N7AZWAtv802P4/yzYEngz3ghTgZb+ttLaWxbTXlwcrzrnUp1zqY0bNz7+FyYitUZSc61kE6mpwrmK7QT/n63x6o/+AXwIFKxEGwxM8X//ITDIv5rtTGCvfyruM6CvmSX6i7P7Ap/5j2Wa2Zn+1WuDgvoSESkXSc3iydyZTe4hrWQTqWnCeaPIf5pZIyAXuMU5t8fMngQmm9m1wHrgMv+5/8GrU1oFZAHXADjnMszsUeAH/3mPOOcy/N/fDIwH6gKf+r9ERMpNQaH27q0HOKFN/TBHIyLlKWwJknPurGLadgHnFdPugFtK6GccMK6Y9rlA1+OPVESkeEnNDu/JpgRJpGbRnbRFRI5Rg8Z1sUhY+u3PbF2zN9zhiEg5UoIkInKMtq/fh/PBllV7mfLsAiVJIjWIEiQRkWO0eeVu8N+MJD/f5z0WkRpBCZKIyDFq0TmRiAhvm8eIyAhadE4s4woRqS6UIImIHKOm7Rtwev92AJx9eWeatm8Q5ohEpLwoQRIROQ4dTj0BANP/piI1iv5Ji4gch/qN6xIZHaEtR0RqGCVIIiLHISLCSGwapy1HRGoYJUgiIscpqVm8RpBEahglSCIixympeTz7dx8i52BeuEMRkXJS5lYjZtaztOPOufnlF46ISPUT2HJkywGtZBOpIULZi20usBjY6X9sQccccG55ByUiUp0UbFqrBEmk5gglQboL+B1wEHgX+MA5t79CoxIRqUbqN6pLlFayidQoZdYgOeeec879ErgNaAV8aWaTzSylooMTEakOLMJIbBavlWwiNUjIRdrOuTXAFOBz4HSgc0UFJSJS3Wglm0jNUmaCZGbtzewBM5sD/AVYCJzsnJtc4dGJiFQTSc3jObDnEIeycsMdioiUg1BqkFYBi/BGjzKB1sBNZl6ttnPurxUWnYhINXF4JVsWzTqoUFukugslQXoEb7UaQEIFxiIiUm0FVrL9vF8JkkgNUGaC5JwbWdIxM4sv12hERKqpekl1iIqJUKG2SA0RUpG2mbUws1Qzi/E/PsHMHgd+qtDoRESqCYswFWqL1CChFGnfAaQDfwNmm9l1wDKgLtCrIoMTEalOkrTUX6TGCKUG6QbgROdchpm1BlYC/+Ocm1exoYmIVC+JzeNZPnsr2QdyqRMfHe5wROQ4hDLFlu2cywBwzm0AVig5EhE5UvCebCJSvYUygtTSzF4Ietws+LFzblj5hyUiUv0cXsl2gOYdG4Y3GBE5LqEkSMOLPNbokYhIMeol1SE6NlIjSCI1QCjL/CcUfG9mCf42bVYrIlKEmX9PNq1kE6n2Ql3mf5OZbQDWA+vNbL2Z3VyxoYmIVD9JzbWSTaQmCGWZ/4PAb4A051wj51wjoA/wK/8xERHxS2oWz8HMHLL3a082keoslBGkq4HfOufWFDT4v78MGFRRgYmIVEeBQm2NIolUa6EkSM45l11M40HAV/4hiYhUX1rqL1IzhJIgbTaz84o2mtm5wJbyD0lEpPpKSIwlKiaC5bO2sHXN3nCHIyLHKJRl/sOAKWb2DYeX+KcC/wMMqKjARESqo21rM8nL9bFtbSZTnl3AgDtPpWn7BuEOS0SOUpkjSM65JUBX4Gugrf/ra6Cr/5iIiPhtXrkbnPd9fr7Peywi1U6ZI0hmdqZzbjYwrhLiERGp1lp0TiQi0vDlOyIiI2jROTHcIYnIMQilBun/Cr4xs1kVGIuISLXXtH0Dev+2AwD/878dNb0mUk2FkiBZ0Pd1KioQEZGaomPPJuEOQUSOUyhF2hFmloiXTBV8H0ianHMZFRWciEh1FN8whpi6UVrqL1KNhZIgNcBbvVaQFM0POuaA9uUdlIhIdWZmJDWL055sItVYKJvVtg2lIzProlVtIiKepGbxrFm4M9xhiMgxCmmz2hC9VY59iYhUa0nNE8jen0tWZk64QxGRY1CeCZKVfYqISO2gLUdEqrfyTJBcOfYlIlKtBTatVR2SSLVUngmSiIj4xTWIITZOK9lEqqvyTJA00S4i4uetZIsn4+f94Q5FRI5BKFuN9CztuHNuvv/PM8srKBGRmiCxeTyr52/HOYeZyjRFqpNQ7oM0F1gMFKxXDf5X7oBzyzsoEZGaIKlZPEsP5JGVmUN8g9hwhyMiRyGUBOku4HfAQeBd4APnnMaMRUTKECjU3nJACZJINVNmDZJz7jnn3C+B24BWwJdmNtnMUio6OBGR6iyw1F8r2USqnZCLtJ1za4ApwOfA6UDn43liM7vTzJaY2WIze8fM6phZOzObY2arzGySmcX4z431P17lP942qJ/7/e0rzOzCoPZ+/rZVZnbf8cQqInIs4urHEBuvlWwi1VGZCZKZtTezB8xsDvAXYCFwsnNu8rE+qZm1AIYBqc65rkAkMBAYDTzrnOsI7Aau9V9yLbDb3/6s/zzM7BT/dV2AfsD/mVmkmUUCLwG/Ak4BrvCfKyJSaQpWsu3WCJJItRPKCNIq4DJgKjALaA3cZGZ3mdldx/HcUUBdM4sC4oAteAXf7/uPTwAu8X8/wP8Y//HzzFsSMgB41zl3yDm31h/r6f6vVc65Nc65HLzaqQHHEauIyDFJap5AxpYDOKd76YpUJ6EUaT/C4btkJ5THkzrnNpvZ08AGvOLvz4F5wB7nXJ7/tE1AC//3LYCN/mvzzGwv0MjfPjuo6+BrNhZpP6O4WMzsBuAGgNatWx/fCxMRKSKpWTyHsvLI2ptDfEMVaotUF2UmSM65keX9pGaWiDei0w7YA7yHN0VW6ZxzrwKvAqSmpupXPBEpV8FbjihBEqk+QrlR5AulHXfODTuG5z0fWOuc2+F/jn8B/wM0NLMo/yhSS2Cz//zNeCvoNvmn5BoAu4LaCwRfU1K7iEilCd60ttUpSWGORkRCFUoN0rygr/5FHs87xufdAJxpZnH+WqLzgKXAdLx7LgEMxls1B/Ch/zH+4/913oT+h8BA/yq3dkAn4HvgB6CTf1VcDF4h94fHGKuIyDGLqx9DnYRobTkiUs2EMsVWUByNmd0R/PhYOefmmNn7wHwgD1iAN831CfCumT3mb3vdf8nrwFtmtgrIwEt4cM4tMbPJeMlVHnCLcy7fH+utwGd4K+TGOeeWHG/cIiLHIqlZvJb6i1QzoRRpByu3Gh3n3MPAw0Wa1+CtQCt6bjbw+xL6GQWMKqb9P8B/jj9SEZHjk9Q8npVztmpPNpFqJOQbRYqIyLFJahZPTnY+B/YcCncoIhKiUIq093F45CjOzDILDgHOOVe/ooITEakJgleyJSTWCXM0IhKKUGqQ6lVGICIiNVXwprWtuzQKczQiEgpNsYmIVLC6CTHExEWy8vttbF2zN9zhiEgIlCCJiFSwrWv2knswnx0b9jHl2QVKkkSqASVIIiIVbPPK3RRsxZaf72Pzyt3hDUhEyqQESUSkgrXonEhEpLe8PyIyghadE8MckYiURQmSiEgFa9q+Ab+8rBMAZ/ZvT9P2DcIckYiURQmSiEgl6JTaBCAw1SYiVZsSJBGRSlAnPpq4+jFkbNGebCLVgRIkEZFKktQ8noyftSebSHWgBElEpJIkNYsnY2sWzqd5NpGqTgmSiEglSWoeT96hfPZlZIc7FBEpgxIkEZFKktTs8JYjIlK1KUESEakkwZvWikjVpgRJRKSSxMZFE98gRiNIItWAEiQRkUqklWwi1YMSJBGRSpTULIHdWw9oJZtIFacESUSkEiU1jycvx0fmLq1kE6nKlCCJiFSiw4XauqO2SFWmBElEpBIlaqm/SLWgBElEpBLF1o0iITFWhdoi5Sh9ezpjfxxL+vb0cuszqtx6EhGRkCQ1i9cIksixWvctrPsGOvSBVqeTvj2d6z+/npz8HGIiY3it72uknJBy3E+jESQRkUqW2Dye3Vuz8Gklm8jRWfcNTLgYZjwOE/rDxu+Zu20uOfk5+PCR68tl7ra55fJUSpBERCpZUrN48nN9ZO44GO5QRKqP3Gz48HZwPu9xfg6sm0lqk1RiImOItEiiI6JJbZJaLk+nKTYRkUoWWMm25QANm8SFORqRaiAnC969EjJWQUS0lyRFxkDbs0g5IYXX+r7G3G1zSW2SWi7Ta6AESUSk0gU2rf35AO1TGoc5GpEqLucA/ONyb3rtkr9Do46wbia0PQtanQ5Aygkp5ZYYFVCCJCJSyWLqRJGQFKtCbZGyrJ4BHw2DPRvg0legx+Veuz8xqkhKkEREwiCpWYKW+ouUZvV0ePu3/um0aEhqV6lPryJtEZEwSGoez+5tB/Dl+8IdikjVk70XptxyuCDb5/Om1SqREiQRkTBIahaPL8+xVyvZRAo7uBvevAT2bfUKsS0yUJBdmTTFJiISBsEr2RKbxoc5GpEqIisD3roEti+DgRMhrtERBdmVRQmSiEgYJDb1lvdn/HyADqeGORiRqmDlF/DhLV6SNPAf0Lmv117JiVEBTbGJiIRBTJ0o4urHsGr+drau2RvucETCa+Vn8I/fw/5tYAZ1G4Y7IiVIIiLhsHXNXg7uyyFj8wGmPLtASZLUXvu2eQXZ+Lfe8eVXekF2cZQgiYiEweaVu3H+nwf5+T42r9wd3oBEwiFzC4z/NWRnhrUguziqQRIRCYMWnROJiDR8+Y6IiAhadE4Md0gilWvvZpjwG29abdC/ISIqbAXZxVGCJCISBk3bNyDtyhP571vLSb2oLU3bNwh3SCKVZ+lH8OGtkJfjJUetz/Daq0BiVEBTbCIiYdLxtCZg4PO5cIciUnmWfgiTr4bsPeDyvaLsKkgJkohImETHRFK/UR12a082qS0y1sKUWzlckJ1XJQqyi6MESUQkjJKaJ2jTWqkddq32CrKdDyJjq1RBdnFUgyQiEkZJzeLZsGQX+fk+IiP1O6vUUDt/gvEXgy8Xhn4KuQerVEF2cZQgiYiEUVLzeHz5jr3bDga2HxGpURa9Bx/dDpHRcM2n0OQUr72KJkYF9OuKiEgYJTU7vCebSI2zcBL86zrIPQB5ByFnf7gjCpkSJBGRMEpsGocZZPxcfX5wiIRk64/w8R2HH+dX3YLs4miKTUQkjKJiIqmfXFcjSFKz/JwOb10C0XHeUv78vCpdkF0cJUgiImGW1DyejJ+VIEkNsXm+lxzF1ofBH8GBHVW+ILs4YZliM7MTzSw96CvTzO4wsyQz+8LMfvL/meg/38zsBTNbZWaLzKxnUF+D/ef/ZGaDg9p7mdmP/mteMKuid6ISkVovqVk8e7cfJD/PF+5QRI7PvAkwrh9E1YUhn0BSOy8pOuvuapUcQZgSJOfcCudcinMuBegFZAEfAPcBXzrnOgFf+h8D/Aro5P+6Afg7gJklAQ8DZwCnAw8XJFX+c64Puq5fxb8yEZGjl9Q8Hp/PsWdbVrhDETl2c9+Aj4ZB/iHvLtn7t4U7ouNSFYq0zwNWO+fWAwOACf72CcAl/u8HAG86z2ygoZk1Ay4EvnDOZTjndgNfAP38x+o752Y75xzwZlBfIiJVSsHyftUhSbW1/jv49E+HH+fnVquC7OJUhQRpIPCO//smzrkt/u+3Ak3837cANgZds8nfVlr7pmLaRUSqnIZNClayKUGSamjtTHj7fyGhCUTVqfJ3yA5VWIu0zSwG6A/cX/SYc86ZWYXv4GhmN+BN29G6deuKfjoRkSNERUdSv7FWskk1s/F7mP8mLJoESe29guzd66plQXZxwr2K7VfAfOdcwUTlNjNr5pzb4p8m2+5v3wy0Crqupb9tM5BWpH2Gv71lMecfwTn3KvAqQGpqqrbUFpGwSGqmlWxSjWz83ttXLT8HMLjgEUg4wfuq5olRgXBPsV3B4ek1gA+BgpVog4EpQe2D/KvZzgT2+qfiPgP6mlmivzi7L/CZ/1immZ3pX702KKgvEZEqJ6l5PHt3HCQ/VyvZpBqY+4Y/OQIsArYtDm88FSBsI0hmFg9cAPwxqPlJYLKZXQusBy7zt/8HuAhYhbfi7RoA51yGmT0K/OA/7xHnXIb/+5uB8UBd4FP/l4hIlZTUPB7nc+zelkVyy4RwhyNSshWfetNqmJcc1YB6o+KELUFyzh0AGhVp24W3qq3ouQ64pYR+xgHjimmfC3Qtl2BFRCpYUjMvKcrYsl8JklRdyz6C94ZAsx5w7gjYsrBG1BsVJ9w1SCIiAiQ2icMiTHVIUjVt/B7mvAKL/wUtU+EP70OdBtDx/HBHVmGUIImIVAGR0RE0aFxXCZJUPRu/h/EXefc2sgjoM8JLjmq4cBdpi4iIX1LzeC31l6pn1v95yREABj/PC2s4lUUJkohIFZHULJ7MHQfJy80PdygingUTYekH3shRDbkBZKg0xSYiUkUkNY/HOdi9NYvGreqFOxyp7eZNgI9uh/Z94Jd3weYfamxBdnGUIImIVBFJzfx7sv18QAmShM/G7+GbZ2HFf7wi7MsnQnQdaH92uCOrVEqQRESqiIZN4oiIMNUhSfhs/B7euAh8/oLsX97pJUe1kGqQRESqiMioCOIbxrAmfQdb1+wNdzhSG309xkuOADDYOCes4YSTEiQRkSpi65q97N99iD1bs5jy7AIlSVK5vn0Bfvq8VhZkF0dTbCIiVcTmlbsp2DE7P9/H5pW7adq+5t9vRqqAmc/Al49Al9/C6dfDhlm1qiC7OEqQRESqiBadE4mKiiA/30dkZAQtOieGOySp6TZ+D9NHwZoZ0O33cMnLEBkFbX4R7sjCTgmSiEgV0bR9AwbceSqbV+6mRedEjR5Jxdowx7tDti/Pm1JLvdZLjgRQgiQiUqU0bd9AiZFUPOe8KTVf3uG2Dd9Bm97hi6mKUYIkIiJSmzgHX/wZ1n/jjRxBrS/ILo4SJBERkdrCOfjsAZj9f3DaddD197Dh21pfkF0cJUgiIiK1wYY58PkI2PQDnHET9HsCzKDNmeGOrEpSgiQiIlLTrZ/tFWS7fIiIgi6XesmRlEg3ihQREanJfD747D4vOQJvmm39N+GNqRrQCJKIiEhN5cuHD2+Dnxd4I0fOqSA7REqQREREaiJfPvz7Jlg0CdIegA59YN1MFWSHSAmSiIhITbN+Fvznbti2BM59EM4e7rUrMQqZEiQREZGaZP13MP7X4HzetFq7c8IdUbWkIm0REZGaIi8HPr7TS47AqzlaNzO8MVVTSpBERERqgrxDMHkQ7FgOEdHeXbJVkH3MNMUmIiJS3eVmw+Sr4afP4aKnoVkPFWQfJyVIIiIi1dnamfDRMMhYAxc/B6nXeO1KjI6LEiQREZHqas3X8NYAf0F2NDTpEu6IagzVIImIiFRX62YGFWT7VJBdjpQgiYiIVFedLoCouirIrgCaYhMREakm5qzZxdz1uzmzfSN6tUn06owGf6iC7AqgBElERKQa+Nf8Tdw9eSEAsdERTLzuzMNJkhKjcqcpNhERkSrMOceE79Yx/P1FOMABuXk+Zq/ZFe7QajSNIImIiFRRu/YfYvj7i/jv8u30bN2QJT9nkpfvIzoqgjPbNwp3eDWaEiQRkSru55XL2LjkR1p16UbzzicDcGh9JofW7CW2fQNi29QPc4RSEV7/Zg1//Xwlh/J9jPzNKQz+RVvmb9jD7DW7DtcgSYVRgiQiUoX9vHIZ7z06gvy8PCKjovj9Q6NoFNuCHa8tgjyHRUeQfF03JUk1yIFDedw9eSFTl2wFIDYqgm4tG2Jm9GqTqMSokqgGSUSkCtu45Efy8/JwPh/5eXlsXPIjh9bshTwHgMvzeY+lRvhhXQYXvTCTqUu2Yv62vHzVG4WDEiQRkSqsVZduREZFYRERREZF0apLN2LbN4Ao/3/fDiIbxIQ3SDlus1bv5Pcvf8fvX56FzzkeHdCF2OgIIg3VG4WJpthERKqw5p1P5vcPjTqiBqnx9d04uHQXB37YSubn66nTKZHIekqUqqOJs9fz4L8X44DICOPJ33bnfzomc0rzBqo3CiNzzoU7hiojNTXVzZ07N9xhiIiELGfTPna8soiopvE0vr4bETGR4Q5JQrQvO5fRU5fz9uwNgbZIg7v6nsgtfTqGMbKaw8zmOedSj+VajSCJiFRjMS3rkTTwJHa9vZSd4xdTp2MisR0aqmi7Cpu3fjdvz1rHVyt3sudgDhd3a8a0ZdvI1fL9KkUJkohINVe3SyPiezfjwHdbyFmTiUVv1Mq2KurzJVu58e15+BwY8MT/dmPgaa2Zt363ptOqGCVIIiI1QHD9kcv1VrYpQao6cvJ8jPt2Lc98vgKfv7IlwmDX/hwALd+vgpQgiYjUALHtG2LRG3G5PgAsRouUq4J563cz6YcNfLtqJ5v3ZHNa20QWbdqru2FXA0qQRERqgNg29Um+rhvZK3eTNX8bmV+sp07HhkQ3iQ93aLXW1MVbuHni/MB02gMXncQNZ3fQdFo1oQRJRKSGiG1Tn9g29YlPbcL2l9LZOX4JJ9ySQmSClv9Xpn3Zufx9xmpe+XpNoem03HzvgabTqgclSCIiNUxUYh2SB3dhx6uL2PHaj8R1Sya2U6JqkirY92t3MXbmWuas3cXeg3mc3TmZOWsyNJ1WTSlBEhGpgWJa1SOhTyv2fb6ezG0bsK82aWVbBXHO8erXa3jy0+U4wAxG/283LtfqtGpNCZKISA1lZoHvtbKtYsxes4sxn61g3vrdgbYIYKdWp1V7YVvmYGYNzex9M1tuZsvMrLeZJZnZF2b2k//PRP+5ZmYvmNkqM1tkZj2D+hnsP/8nMxsc1N7LzH70X/OCBf9PISJSC8S2b4BFH/5v3uXkhTGamuW9uRtJe3oGA1+dzebdB7nx7PbU0d5pNUo4R5CeB6Y6535nZjFAHPAA8KVz7kkzuw+4D7gX+BXQyf91BvB34AwzSwIeBlIBB8wzsw+dc7v951wPzAH+A/QDPq3MFygiEk4FK9sOrd7DwSW72PfVZmI7JlKnQ8Nwh1ZtLdq0h0c+Wspc/4hRVITx7OU96N0hmQu6NNV0Wg0SlgTJzBoAZwNDAJxzOUCOmQ0A0vynTQBm4CVIA4A3nbdx3Gz/6FMz/7lfOOcy/P1+AfQzsxlAfefcbH/7m8AlKEESkVqmYGVbQu/mbP/7Qna9tYwTbu5B9Alx4Q6t2pi3fjf/mr+JpVsyWbBhD7FRERjeb+XOOeZv2EPvDsmaTqthwjXF1g7YAbxhZgvMbKyZxQNNnHNb/OdsBZr4v28BbAy6fpO/rbT2TcW0i4jUShF1o0ge0gWLNHa89iN7P1vLofWZ4Q6rSnPOMf7btfz+5e+YOGcDCzbs4aozWjN2cCqxmk6r8cI1xRYF9ARuc87NMbPn8abTApxzzsxcRQdiZjcANwC0bt26op9ORCRsopLqUP/CNuz51yr2Td/E/pk/k3y9VrYFm7d+N9+t3km+z/HF0m0s+flwEhlp0LxhXc7q1JiJ152p6bQaLlwJ0iZgk3Nujv/x+3gJ0jYza+ac2+KfQtvuP74ZaBV0fUt/22YOT8kVtM/wt7cs5vwjOOdeBV4FSE1NrfCETEQknHwHDhdquzwfh9bsUYLkN/OnHVzzxg/k+e/u2KJhHW5Oa8+4b9aRW+ReRppOq/nCkiA557aa2UYzO9E5twI4D1jq/xoMPOn/c4r/kg+BW83sXbwi7b3+JOoz4PGC1W5AX+B+51yGmWWa2Zl4RdqDgL9V2gsUEamiCla2FezZlrcrO8wRhU/BPYpaNKzL3PUZTPphYyA5ijC44vTW3HpuJ847WcXXtVE4V7HdBkz0r2BbA1yDVxM12cyuBdYDl/nP/Q9wEbAKyPKfiz8RehT4wX/eIwUF28DNwHigLl5xtgq0RaTWC6xsW7OHQ+szyZq7jdj2DYjv2aTsi2uQ79fu4qqxcwLbf0RFGmd1TObb1bvI948W9e6QDGi0qLYyb2GYgDfFNnfu3HCHISJSKVyej53jFnNofSaNr+1GbPsG4Q6pwhSMFrVpFMfizZm8OWsdWTn5gLeR7C19OnLPhSfqztc1jJnNc86lHsu1upO2iEgtZVERNPrDyWz/+0J2TlhC/OlNqds1ucbVJH27aidD3vg+MFoUYdCzdSILN+3B53NER0XQ56QTAI0WyWFKkEREarGIuGjqX9CGjH8sZ//MzeyftYXG1XhlW8EI0GltEzlwKJ9/p2/mk0VbArVFBtx4Tgf+1O8kjRZJqZQgiYjUcnm7sgnc+TDPx6FV1XNl2/drd/GHsd+Tk+8LtDWoG02fk07gqxU7yPd5tUXnnezVW2m0SEqjBElEpJaLbd8Ai4rA5fnAwaH1mTjnqOpbWM5bv5tvV+2gbkwUq7fvZ0r6z4WSo0tPbcHo/+1OTFSERovkqClBEhGp5Q6vbNtLXkY2WT9sZd+XG6h/fptwhxYQnOC0TKzLm9+t4+9frcY/c0bd6Eh6tUlkztpdgbqiP5zZhpgob8MIjRbJ0VKCJCIigT3bnHOQ7yNz2gaikusSl3JCuENj1uqdDB73A7n+0aGia68jDG48pz23n99ZI0VSbpQgiYhIgJmR+NtO5O0+RMbkFRxas5e4Xk0qtSbp21U7+XDhZnwO1u/MYt763eQH3ZLm7E7JDEhpwYh//0hunldX9MtOjQGNFEn5UYIkIiKFWFQE9dNasvONvRz4fisH5m+vsJVt36/dxac/bqVuTAS7s3L5btUu1mdkBY53aBzPxT2a8emPW8j3T53dfn5nerVJpG1yvEaLpMIoQRIRkSPk/Hzg8Mq2fB+H1uw9qgSp6FRXbr6Pz5ds5b8rthMXHcX+Q3nM37Cb9bsOJ0PxMZE0rl8n8LSRBr/t2ZJb+nRkUO+2RyRDGi2SiqQESUREjhC8ss2iIgJ32S6uxuf7tbuYsWIH7RvH0yghlrlrM3jl6zXk+RwRBo0TYtmx/1CgoBogKS6GBnHRgWQowuDmPh04s30yV42dHZg60+awEi5KkERE5AjBK9ti2zcgtk195q3fzcBXZ5Gb7zCgft1osnLyAneoLo7PQWJ8DO0axzNnTUZgZOjas9pxZvtGRZKhZHq1SWTidWdq6kzCTgmSiIgUq2BlW4HZa3aR50+GHNCmURyxURHMXbc7MAp0xemt+WXHZO6clE6uf9PXUZd2AzhiZKikZEijRVIVKEESEZGQnNm+EbHREYEk5+HfdAEKJz6/7dmSXm0SOaF+nSMSHyVDUp2YcyUPjdY2qampbu7cueEOQ0SkyiquBkn3HpKqyszmOedSj+VajSCJiEjIihvx0SiQ1EQR4Q5AREREpKpRgiQiIiJShBIkERERkSKUIImIiIgUoQRJREREpAglSCIiIiJFKEESERERKUIJkoiIiEgRSpBEREREilCCJCIiIlKEEiQRERGRIrRZbRAz2wesCHccEpAM7Ax3EFKIPpOqRZ9H1aPPpGo50TlX71gu1Ga1ha041l1/pfyZ2Vx9HlWLPpOqRZ9H1aPPpGoxs7nHeq2m2ERERESKUIIkIiIiUoQSpMJeDXcAUog+j6pHn0nVos+j6tFnUrUc8+ehIm0RERGRIjSCJCIiIlJErUyQzKyfma0ws1Vmdl8xx2PNbJL/+BwzaxuGMGuNED6Pu8xsqZktMrMvzaxNOOKsLcr6PILO+18zc2amFTsVLJTPxMwu8/87WWJm/6jsGGuTEP7Pam1m081sgf//rYvCEWdtYWbjzGy7mS0u4biZ2Qv+z2uRmfUMqWPnXK36AiKB1UB7IAZYCJxS5JybgZf93w8EJoU77pr6FeLn0QeI839/kz6P8H4e/vPqAV8Ds4HUcMddk79C/DfSCVgAJPofnxDuuGvqV4ifx6vATf7vTwHWhTvumvwFnA30BBaXcPwi4FPAgDOBOaH0WxtHkE4HVjnn1jjncoB3gQFFzhkATPB//z5wnplZJcZYm5T5eTjnpjvnsvwPZwMtKznG2iSUfx8AjwKjgezKDK6WCuUzuR54yTm3G8A5t72SY6xNQvk8HFDf/30D4OdKjK/Wcc59DWSUcsoA4E3nmQ00NLNmZfVbGxOkFsDGoMeb/G3FnuOcywP2Ao0qJbraJ5TPI9i1eL8JSMUo8/PwD0+3cs59UpmB1WKh/BvpDHQ2s2/NbLaZ9au06GqfUD6PkcAfzGwT8B/gtsoJTUpwtD9nAN1JW6oRM/sDkAqcE+5YaisziwD+CgwJcyhSWBTeNFsa3gjr12bWzTm3J5xB1WJXAOOdc8+YWW/gLTPr6pzzhTswCV1tHEHaDLQKetzS31bsOWYWhTdEuqtSoqt9Qvk8MLPzgRFAf+fcoUqKrTYq6/OoB3QFZpjZOrz5/A9VqF2hQvk3sgn40DmX65xbC6zES5ik/IXyeVwLTAZwzs0C6uDt0SbhEdLPmaJqY4L0A9DJzNqZWQxeEfaHRc75EBjs//53wH+dv9JLyl2Zn4eZnQq8gpccqbaiYpX6eTjn9jrnkp1zbZ1zbfFqwvo75455vyMpUyj/Z/0bb/QIM0vGm3JbU4kx1iahfB4bgPMAzOxkvARpR6VGKcE+BAb5V7OdCex1zm0p66JaN8XmnMszs1uBz/BWI4xzzi0xs0eAuc65D4HX8YZEV+EVfg0MX8Q1W4ifxxggAXjPXyu/wTnXP2xB12Ahfh5SiUL8TD4D+prZUiAfGO6c06h3BQjx87gbeM3M7sQr2B6iX7Irjpm9g/cLQrK/7uthIBrAOfcyXh3YRcAqIAu4JqR+9ZmJiIiIFFYbp9hERERESqUESURERKQIJUgiIiIiRShBEhERESlCCZKIiIhIEUqQRERERIpQgiQi1ZaZtTKztWaW5H+c6H/c1syamdnH/vY0M9trZulmttzMng7qY4iZ7fAfK/g6xcwam9nUcL02EQkvJUgiUm055zYCfwee9Dc9CbzqnFsH3AW8FnT6TOdcCnAqcLGZ/U/QsUnOuZSgr6XOuR3AliLniUgtoQRJRKq7Z4EzzewO4JdAwejQ/wJHjAA55w4C6YSwmzfeFh5XlUeQIlK91LqtRkSkZnHO5ZrZcLxkqK//cTtgd3EbG5tZIt5Grl8HNV9uZr8Metzbn0jNBR6rwPBFpIrSCJKI1AS/ArYAXf2Pm3Hk5qBnmdlCvF28P3PObQ06VnSK7aC/fTvQvCIDF5GqSQmSiFRrZpYCXACcCdxpZs2Ag3g7qAeb6ZzrAXQBrvVfV5Y6/r5EpJZRgiQi1ZaZGV6R9h3OuQ3AGLwapJVA2+Kucc6txSvmvjeEp+gMLC6XYEWkWlGCJCLV2fXABufcF/7H/wecDKQCq82sYwnXvQycbWZt/Y8vL7LM/xf+9j7AJxUUu4hUYeacC3cMIiLlzswuBXo55x48jj6+BgY453aXX2QiUh1oFZuI1EjOuQ/MrNGxXm9mjYG/KjkSqZ00giQiIiJShGqQRERERIpQgiQiIiJShBIkERERkSKUIImIiIgUoQRJREREpIj/B3QSDD5ZeS41AAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from pycalphad import Database, equilibrium, Model, ReferenceState, variables as v\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "dbf = Database(\"nbre_liu.tdb\")\n", "comps = [\"NB\", \"RE\", \"VA\"]\n", "phases = dbf.phases.keys()\n", "\n", "# Create reference states\n", "Nb_ref = ReferenceState(\"NB\", \"BCC_RENB\", {v.T: 298.15, v.P: 101325})\n", "Re_ref = ReferenceState(\"RE\", \"HCP_RENB\", {v.T: 298.15, v.P: 101325})\n", "\n", "# Create the models for each phase and shift them all by the same reference states.\n", "eq_models = {}\n", "for phase_name in phases:\n", " mod = Model(dbf, comps, phase_name)\n", " mod.shift_reference_state([Nb_ref, Re_ref], dbf)\n", " eq_models[phase_name] = mod\n", "\n", "# Calculate HMR at 2800 K from X(RE)=0 to X(RE)=1\n", "conds = {v.P: 101325, v.T: 2800, v.X(\"RE\"): (0, 1, 0.01)}\n", "result = equilibrium(dbf, comps, phases, conds, output=\"HMR\", model=eq_models)\n", "\n", "# Find the groups of unique phases in equilibrium e.g. [CHI_RENB] and [CHI_RENB, HCP_RENB]\n", "unique_phase_sets = np.unique(result.Phase.values.squeeze(), axis=0)\n", "\n", "# Plot\n", "fig = plt.figure(figsize=(9,6))\n", "ax = fig.gca()\n", "for phase_set in unique_phase_sets:\n", " label = '+'.join([ph for ph in phase_set if ph != ''])\n", " # composition indices with the same unique phase\n", " unique_phase_idx = np.nonzero(np.all(result.Phase.values.squeeze() == phase_set, axis=1))[0]\n", " masked_result = result.isel(X_RE=unique_phase_idx)\n", " ax.plot(masked_result.X_RE.squeeze(), masked_result.HMR.squeeze(), marker='.', label=label)\n", "ax.set_xlim((0, 1))\n", "ax.set_xlabel('X(RE)')\n", "ax.set_ylabel('HM_FORM')\n", "ax.set_title('Nb-Re Formation Enthalpy (T=2800 K)')\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Special `_MIX` Reference State\n", "\n", "pycalphad also includes special mixing reference state that is referenced to the endmembers for that phase with the `_MIX` suffix (`GM_MIX`, `HM_MIX`, `SM_MIX`, `CPM_MIX`). This is particularly useful for seeing how the mixing contributions from physical or excess models affect the energy. The `_MIX` properties are set by default and no instantiation of `Model` objects and calling `shift_reference_state` is required.\n", "\n", "Below is an example for calculating this endmember-referenced mixing enthalpy for the $\\chi$ phase in Nb-Re. Notice that the four endmembers have a mixing enthalpy of zero." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2022-02-19T19:18:32.010452Z", "iopub.status.busy": "2022-02-19T19:18:32.001422Z", "iopub.status.idle": "2022-02-19T19:18:32.461953Z", "shell.execute_reply": "2022-02-19T19:18:32.461953Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from pycalphad import Database, calculate\n", "import matplotlib.pyplot as plt\n", "\n", "dbf = Database(\"nbre_liu.tdb\")\n", "comps = [\"NB\", \"RE\", \"VA\"]\n", "\n", "# Calculate HMR for the Chi at 2800 K from X(RE)=0 to X(RE)=1\n", "result = calculate(dbf, comps, \"CHI_RENB\", P=101325, T=2800, output='HM_MIX')\n", "\n", "# Plot\n", "fig = plt.figure(figsize=(9,6))\n", "ax = fig.gca()\n", "ax.scatter(result.X.sel(component='RE'), result.HM_MIX, marker='.', s=5, label='CHI_RENB')\n", "ax.set_xlim((0, 1))\n", "ax.set_xlabel('X(RE)')\n", "ax.set_ylabel('HM_MIX')\n", "ax.set_title('Nb-Re CHI Mixing Enthalpy')\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculations at specific site fractions\n", "\n", "In the previous example, the mixing energy for the CHI phase in Nb-Re is sampled by sampling site fractions linearly between endmembers and then randomly across site fraction space.\n", "\n", "Imagine now that you'd like to calculate the mixing energy along a single internal degree of freedom (i.e. between two endmembers), referenced to those endmembers.\n", "\n", "A custom 2D site fraction array can be passed to the `points` argument of `calculate` and the `HM_MIX` property can be calculated as above.\n", "\n", "The sublattice model for CHI is `RE : NB,RE : NB,RE`.\n", "\n", "If we are interested in the interaction along the second sublattice when NB occupies the third sublattice, we need to construct a site fraction array of \n", "\n", "```python\n", "# RE, NB, RE, NB, RE\n", "[ 1.0, x, 1-x, 1.0, 0.0 ]\n", "```\n", "\n", "where `x` varies from 0 to 1. This fixes the site fraction of RE in the first sublattice to 1 and the site fractions of NB and RE in the third sublattice to 1 and 0, respectively. Note that the site fraction array is sorted first in sublattice order, then in alphabetic order within each sublattice (e.g. NB is always before RE within a sublattice)\n", "\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2022-02-19T19:18:32.481334Z", "iopub.status.busy": "2022-02-19T19:18:32.471893Z", "iopub.status.idle": "2022-02-19T19:18:32.731301Z", "shell.execute_reply": "2022-02-19T19:18:32.731301Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Site fractions:\n", "[[1.00e+00 1.00e-12 1.00e+00 1.00e+00 0.00e+00]\n", " [1.00e+00 1.00e-03 9.99e-01 1.00e+00 0.00e+00]\n", " [1.00e+00 2.00e-03 9.98e-01 1.00e+00 0.00e+00]\n", " ...\n", " [1.00e+00 9.98e-01 2.00e-03 1.00e+00 0.00e+00]\n", " [1.00e+00 9.99e-01 1.00e-03 1.00e+00 0.00e+00]\n", " [1.00e+00 1.00e+00 0.00e+00 1.00e+00 0.00e+00]]\n", "Site fractions shape: (1001, 5) (1001 points, 5 internal degrees of freedom)\n" ] }, { "data": { "image/png": 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pm5upqwxELeASfEmSntStS+1rGYhaxCqRJEm9UR0CA1HLWCWSJKk3qkNgIGopq0SSpDLrleoQGIhayiqRJKnMeqU6BAailrNKJEkqo16qDoGBqOWsEkmSyqiXqkNgIGoLq0SSpDLpteoQGIjawiqRJKlMeq06BAaitrFKJEkqg16sDoGBqG2sEkmSyqAXq0NgIGorq0SSpH7Wq9UhMBC1lVUiSVI/69XqEBiI2s4qkSSpH/VydQgMRG1XWyWC6OhYJElqllXX3MaGbfezeN7MnqsOAUzu9ADKaMXSBRAJWUnUvZaiJUmqd8Ki2Vxz6z2cffLCnvy9ZoWoA6r/oqy69janzSRJPW/r0C4+ctmNXL95iCtvvLPTw5kQA1GnZGW6zOZqSVKvO//qW7h+8xCL5szgtCWHdno4E2Ig6hCbqyVJ/aDXm6mrujoQRcR7IyIj4qDidUTE5yJiY0T8PCKOqdl3eUT8qngs79yoG+MSfElSP+jlpfa1ujYQRcQ84ARgU83mk4AjiseZwPnFvgcAHwJeDBwLfCgi9qfLWSWSJPWyfqkOQRcHIuAzwPuBrNm2DLgoK9YAMyNiDvBK4LuZeW9m7gC+C5zY9hGPk1UiSVIv65fqEHRpIIqIZcDtmfmzurcOBjbXvN5SbBtp+3DHPjMiBiNicPv27U0c9cRYJZIk9aJ+qg5BB69DFBFXAc8e5q0PAn9JZbqs6TLzAuACgIGBgRxj95arVok2bN35RJWo1/+lkiT1v36qDkEHK0SZeXxmHlX/AG4FDgd+FhG/AQ4BrouIZwO3A/NqDnNIsW2k7T3BKpEkqZf0W3UIunDKLDNvyMxnZeZhmXkYlemvYzLzDmA1cHqx2mwJcF9mbgOuAE6IiP2LZuoTim09wV4iSVIv6bfqEHRhIBrD5VQqSBuBC4F3AGTmvcBHgZ8Wj3OKbT3DKpEkqRf0Y3UIeuBeZkWVqPo8gbNG2O8rwFfaNKyms5dIktQL+rE6BL1XIeprVokkSd2sX6tDYCDqKvYSSZK6Wb9Wh8BA1HWsEkmSulE/V4fAQNR1rBJJkrpRP1eHwEDUlawSSZK6Sb9Xh8BA1JWsEkmSukm/V4fAQNS1rBJJkrpBGapDYCDqWlaJJEndoAzVITAQdTWrRJKkTipLdQgMRF3NKpEkqZPKUh0CA1HXs0okSeqEMlWHwEDU9awSSZI6oUzVITAQ9QSrRJKkdipbdQgMRD3BKpEkqZ3KVh0CA1HPsEokSWqHMlaHwEDUM6wSSZLaoYzVITAQ9ZTaKtEZKwcNRZKkplq3aQffWb8VKFd1CAxEPaW2SuTUmSSpmbYO7eLtq9Zy94OPMHv61FJVh8BA1HNWLF3AojkzAKfOJEnNc/7Vt3DX/bs5aN8pfPG0F5WqOgQGop4zd+Y0Llw+YIO1JKlpahupTzr62Syev3+HR9R+BqIeZIO1JKmZytpIXctA1KNchi9JaoayLrOvZyDqUVaJJEnNYHWowkDUw6wSSZL2hNWhJxmIephVIknSnrA69CQDUY+zSiRJmgirQ09lIOpxVokkSRNhdeipDER9wCqRJGk8rA49nYGoD1glkiSNh9WhpzMQ9QmrRJKkRlgdGl7XBqKIeFdE/CIiNkTEJ2q2/0VEbIyImyPilTXbTyy2bYyID3Rm1J1jlUiS1AirQ8PrykAUEUuBZcALMnMR8Kli+0LgFGARcCLwhYiYFBGTgPOAk4CFwKnFvqVilUiSNBqrQyPrykAErAD+JjN3A2TmXcX2ZcDFmbk7M38NbASOLR4bM/PWzHwYuLjYt1SsEkmSRmN1aGTdGoiOBF4aEddGxA8i4j8V2w8GNtfst6XYNtL2p4mIMyNiMCIGt2/f3oKhd1ZtleiMlYOGIkkSAOs27eA767cCVoeG07FAFBFXRcT6YR7LgMnAAcAS4M+ASyIimvG9mXlBZg5k5sCsWbOacciuUlslcupMkgSVqbK3r1rL3Q8+wuzpU60ODWNyp744M48f6b2IWAH8c2Ym8JOIeBw4CLgdmFez6yHFNkbZXjorli7guk072LBt5xNTZ/6fgCSV1/lX38Jd9+/moH2n8MXTXuTvhGF065TZvwBLASLiSGAKcDewGjglIqZGxOHAEcBPgJ8CR0TE4RExhUrj9epODLwbzJ05jQuXD9hgLUl6SiP1SUc/m8Xz9+/wiLpTtwairwDPiYj1VBqkl2fFBuAS4Ebg34CzMvOxzHwUeCdwBXATcEmxb2nZYC1JAhupG9WxKbPRFCvF3jLCe+cC5w6z/XLg8hYPraesWLqA6zbvYMPWSpXoo685utNDkiS1kcvsG9etFSI1gVUiSSo3q0ONMxD1OS/WKEnlZHVofAxEfc4qkSSVk9Wh8TEQlYBVIkkqF6tD42cgKoHaKtG1v76Xv750vZUiSepTW4d2ccbKQatD49SVq8zUfCuWLmD91vtYt3mIX975AES66kyS+lBlqmwnYHVoPKwQlcTcmdM4783HsGjODMB+IknqR7VTZYvmWh0aDwNRiXgFa0nqb7WN1BeePmB1aBz2KBBFhFNuPcZVZ5LUn2yk3jNjBqKIuCwiDh1m+/HA9a0YlFrLVWeS1H9cZr9nGqkQXQxcHREfjIi9I2JuRFxC5fYZy1s7PLWCVSJJ6i9Wh/bcmIEoM78GLAbmU7lx6jXAVcCSzFzb2uGpVWqrRGesHDQUSVKPcpl9czTaQ7QQOBb4CbAbmI1L9ntabZXIqTNJ6l0us2+ORnqIvgycB7wjM99EpVr0TOBnEXFCi8enFlqxdIHL8CWph7nMvnkaqRCtB/5TZl4DkJkPZub7gDcCf93Kwam1XIYvSb3NZfbN00gP0Wcy87Fhtt+QmS9tzbDULjZYS1JvspG6ucbsA4qIy4Ac6f3MfHVTR6S2W7F0Addt3sGGrZUqkbf0kKTu5zL75mqkMfpTLR+FOqpaJdqwdecTVSL/T0OSupfVoeYbMxBl5g/aMRB1Vm2V6IyVg1y43LloSepGLrNvjUZWmf18tEc7BqnWcxm+JPUGl9m3RiNTZo9T6SH6OnAZYNdtn1qxdAHXbdrBhm1OnUlSN3KZfes0ssrshcCpwH5UQtG5wCLg9sy8raWjU1u5DF+SupvL7FunoStVZ+YvMvNDmXkMlSrRRcB7WjoydYTL8CWpO9lI3VoNBaKIODgi3hsRPwLeQiUMnd/Skaljau9zZpVIkrqDy+xbq5Gm6h9QqQrtDfw3Kne4/zYwJSIOaO3w1Am1VaLLb7iDdZt2dHhEklRu6zbt4DvrtwJWh1qlkQrRocD+wNuBK4DB4rG2+Kf60IqlC3jW9Knc8+DD/MmqtU6dSVKHbB3axdtXreXuBx9h9vSpVodapJGm6sMy8/Di8Zyax+GZ+ZzqfhGxqLVDVTvNnTmNvz/tRRy03xTuvH+3U2eS1CHnX30Ld92/m4P2ncIXT3uR1aEWaaiHqEGrmngsdYHF8/fnpEVzABusJakTahupTzr62Syev3+HR9S/mhmIoonHUpewwVqSOsdG6vZpZiAa8Qaw6l02WEtSZ9hI3V7NDERNExEvjIg1EXF9RAxGxLHF9oiIz0XExuLWIcfUfGZ5RPyqeCzv3Oj7jw3WktReNlK3XzMD0cNNPNYngI8UV8k+u3gNcBJwRPE4k+JaSMXy/w8BLwaOBT4UEU60NokN1pLUXjZSt9+Y9zKrrcIMJzOvK/65pFmDojL9NqN4/kxga/F8GXBRZiawJiJmRsQc4OXAdzPz3mLM3wVOBL7RxDGVWrXBetW1t3mfM0lqIRupO6ORm7sOAuuBu4vXtc3TCbyi2YMC/gdwRUR8ikoV6z8X2w8GNtfst6XYNtL2p4mIM6lUl5g/f35TB93vVixdwHWbd7Bh607OWDnIhcu9j44kNdPWoV2csXLQRuoOaGTK7E+BnVTucv//Aydn5tLiMeEwFBFXRcT6YR7LgBXAezJzHpXbhHx5ot9TLzMvyMyBzByYNWtWsw5bCrUN1q46k6Tmq6wq2wnYSN1ujVyY8bOZ+RLgXcA84HsRcUlEvHBPvjgzj8/Mo4Z5fIvK7UH+udj1H6j0BQHcXoyh6pBi20jb1WQrli5g0ZzKbKbXJpKk5qmdKls01+pQuzXcVJ2ZtwLfAq6kElCObNWgqPQMvax4/grgV8Xz1cDpxWqzJcB9mbmNyi1FToiI/Ytm6hOKbWqyuTOnceHyAa9NJElNVnvNoQtPtyWh3Rppqn4OcAqVhubNwMXAxzKzlaWBM4C/jYjJwG8pen6Ay4FXARuBh6jcbJbMvDciPgr8tNjvnGqDtZqvOnW2YetOLr/hDl53zCE2/UnSHvCaQ50XlQVbo+wQ8TjwcyrVoZ3UXYAxMz/dstG12MDAQA4Oen/aidg6tIvXnPdj7rp/N7OnT+XSs37Xv8CSNAH+97R5ImJtZg5M5LONTJmdA1wKPA7sB0yve6iEvDaRJDWH1xzqDmNOmWXmh9swDvUgr00kSXvGaw51j0Z6iD432vuZ+e7mDUe9xmsTSdLEeM2h7tLIlNnamser616vbd3Q1Au8NpEkTYzXHOoujUyZraw+j4j/UftagqJKtGkHG7btdOpMkhrgNYe6z3hv7jr6kjSVktcmkqTx8ZpD3aeZd7tXidVOnV1+wx2s27SjwyOSpO7kNYe605iBKCLuj4idEbETeH71eXV7G8aoHrFi6QKeNX0q9zz4MH+yaq239ZCkOluHdvH2VWu5+8FHmD19qlNlXaSRe5lNz8wZxWNyzfPpmTmjHYNUb/DaRJI0Oq851L2cMlNTVa9NBE6dSVKt2qkyrznUfQxEajqnziTpqZwq634GIjWdU2eS9FROlXU/A5FaonbqrHptIkkqI2/P0RsMRGqZFUsXPHFtojNWDhqKJJWOt+foHQYitYy39ZBUdt6eo3cYiNRSK5YuYNGcytUZnDqTVCbenqO3GIjUUvW39XDqTFIZ1E+VeXuO7mcgUss5dSapbJwq6z0GIrWFU2eSysKpst5kIFJbOHUmqQycKutdBiK1jVNnkvqdU2W9y0CktqqdOvNeZ5L6Se29ypwq6z0GIrVVderMe51J6if19ypzqqz3GIjUdt7rTFK/8V5lvc9ApI6ovdeZU2eSelntVJn3KutdBiJ1zIqlC5w6k9TT6qfK7BvqXQYidYxTZ5J62dahXbzja9dx1/27mT19qlNlPc5ApI5y6kxSL6peb+j6zUMsmjODS8/6XafKepyBSB3n1JmkXuP1hvqPgUgdVz915lWsJXUzrzfUnzoWiCLiDRGxISIej4iBuvf+IiI2RsTNEfHKmu0nFts2RsQHarYfHhHXFtu/GRFT2vmzaM/VTp15FWtJ3crrDfWvTlaI1gOvA35YuzEiFgKnAIuAE4EvRMSkiJgEnAecBCwETi32Bfg48JnMfC6wA/jj9vwIaiavYi2pm1X7hrzeUH/qWCDKzJsy8+Zh3loGXJyZuzPz18BG4NjisTEzb83Mh4GLgWUREcArgH8sPr8SeE3LfwA1nVexltTNavuGvN5Q/+nGHqKDgc01r7cU20bafiAwlJmP1m0fVkScGRGDETG4ffv2pg5ce86l+JK60dahXVy36V7AvqF+1dJAFBFXRcT6YR7LWvm9o8nMCzJzIDMHZs2a1alhaBQuxZfUTapTZRu23c+iOTPsG+pTLQ1EmXl8Zh41zONbo3zsdmBezetDim0jbb8HmBkRk+u2q4e5FF9St3CJfTl045TZauCUiJgaEYcDRwA/AX4KHFGsKJtCpfF6dWYmcDXw+uLzy4HRApd6gEvxJXUDl9iXRyeX3b82IrYAxwHfjogrADJzA3AJcCPwb8BZmflY0SP0TuAK4CbgkmJfgD8H/jQiNlLpKfpye38atYJL8SV1kkvsyyUqBZZyGhgYyMHBwU4PQ6N4cu5+JwfuO4UvLR9wZYeklqv9b89B+07hQv/b0xMiYm1mDoy959N145SZ9ASX4kvqBJfYl4+BSF3PfiJJ7WTfUDkZiNQT7CeS1A72DZWXgUg9w1t7SGolb81RbgYi9Qz7iSS1kn1D5WYgUk+xn0hSK9g3JAOReo79RJKayb4hgYFIPcp+IknNYN+QqgxE6kn2E0lqBvuGVGUgUs+yn0jSnrBvSLUMROpp9f1EhiJJjVi3aQdvvnCNfUN6goFIPa+2n8gma0ljqTZRP/TI4zxj773sGxJgIFIfqPYT2WQtaSz1TdRfO2OJfUMCDETqEzZZS2qETdQaiYFIfcMma0mjsYlaozEQqa/YZC1pODZRaywGIvUdm6wl1bKJWo0wEKnv2GQtqcomajXKQKS+VN9k/eYL1xiKpJKphiGbqNUIA5H6VrXJ+hl778VDjzzuyjOpZGpXlNlErbEYiNTXFs/fn6+dscSVZ1LJ1K8os4laYzEQqe+58kwqF1eUaSIMRCoFV55J5eCKMk2UgUil4Mozqf+5okx7wkCk0nDlmdS/XFGmPWUgUqm48kzqT64o054yEKl0XHkm9RdXlKkZDEQqJVeeSf3BFWVqFgORSqt+5ZmhSOot1TDkijI1g4FIpVW/8sxQJPWO+jDkijLtqY4Fooh4Q0RsiIjHI2KgZvsfRMTaiLih+Ocrat57UbF9Y0R8LiKi2H5ARHw3In5V/NO/FWrIcKHIaxRJ3a3+WkOGITVDJytE64HXAT+s2343cHJmHg0sB1bVvHc+cAZwRPE4sdj+AeB7mXkE8L3itdQQr1Ek9Q6vNaRW6VggysybMvPmYbavy8ytxcsNwLSImBoRc4AZmbkmMxO4CHhNsd8yYGXxfGXNdqkhXqNI6n5ea0it1O09RP8FuC4zdwMHA1tq3ttSbAOYnZnbiud3ALNHOmBEnBkRgxExuH379laMWT2q/hpFhiKpe9SHIa81pGZraSCKiKsiYv0wj2UNfHYR8HHg7eP5zqJ6lKO8f0FmDmTmwKxZs8ZzaJVA9RpFhiKpewwXhlxer2ZraSDKzOMz86hhHt8a7XMRcQhwKXB6Zt5SbL4dOKRmt0OKbQB3FlNqFP+8q7k/icrEUCR1D8OQ2qXrpswiYibwbeADmfnj6vZiSmxnRCwpVpedDlSD1WoqDdgU/xw1cEljqQ9F3uJD6oz6W3IYhtQqnVx2/9qI2AIcB3w7Iq4o3non8Fzg7Ii4vng8q3jvHcCXgI3ALcB3iu1/A/xBRPwKOL54Le0Rb/EhdZa35FA7RaXlppwGBgZycHCw08NQl/vrS9ez6trbAFg0ZwYXLvc/ylKr1V54cfb0qVx61u/6905jioi1mTkw9p5P13VTZlK38RYfUnt5Sw51goFIGoO3+JDax1tyqFMMRFIDDEVS6xmG1EkGIqlBhiKpdQxD6jQDkTQOhiKp+QxD6gYGImmcDEVS8xiG1C0MRNIEGIqkPWcYUjcxEEkTZCiSJs4wpG5jIJL2gKFIGj/DkLqRgUjaQ8OFopP/7kfeEFaqs3VoF+/55jpOveAaw5C6joFIaoL6UHTPgw/z5gvXGIqkQvWu9Zeu28pvH03DkLqOgUhqkmooet3ig9lncvDQI48biiSeDEPVu9YftO8Uw5C6joFIaqK5M6fx6Te+kG+ceRzP2HsvQ5FKrz4MLZo7g9XveolhSF3HQCS1wOL5+/O1M5YYilRqw4WhC08f8Eat6koGIqlFDEUqM8OQeo2BSGqh+lD0pguu4U8vvt5l+epr6zbt4NV/9yPDkHqKgUhqsdpQtOvR5J+vv91rFalvVa8xdPeDDwOGIfUOA5HUBtVQdNC+UwAv4Kj+VHvBxWl778XrFh9sGFLPMBBJbbJ4/v6sftdLvICj+s5wF1z8+hlL+PQbX2gYUs8wEElt5AUc1W+84KL6hYFIarPhLuBos7V6UX3ztBdcVC8zEEkdUH8BR5ut1WuGa572govqZQYiqYOGa7a2r0jdrL5fyOZp9QsDkdRh9c3W9hWpWw3XL2TztPqFgUjqAvYVqdvZL6R+ZyCSuoR9RepW9gupDAxEUpexr0jdwn4hlUlkZqfH0DEDAwM5ODjY6WFIw6q/Oea0ycFJR83lfSc+z19Garl1m3ZwxsrBJ6pCXl9IvSAi1mbmwEQ+a4VI6lL1fUVOoald6qfI7BdSGVghskKkHlD/f+tHzt6PFx92ICuWLrBapKbZOrSLT17xC75zwzZ++2gybe+9OOmoObzvlVYl1Rt6skIUEW+IiA0R8XhEPG3wETE/Ih6IiPfVbDsxIm6OiI0R8YGa7YdHxLXF9m9GxJR2/RxSO9Qvzf/lnQ+w6trb7C1S01RXkbmkXmXVySmz9cDrgB+O8P6nge9UX0TEJOA84CRgIXBqRCws3v448JnMfC6wA/jjVg1a6pTqFNppS+Zz5LP2AyrXLHJ5vvZEbeO0U2Qqs44Fosy8KTNvHu69iHgN8GtgQ83mY4GNmXlrZj4MXAwsi4gAXgH8Y7HfSuA1rRq31ElzZ07jo685mq++7din9RZZLdJ41VeFqqvIXFKvMuq6puqI2A/4c+AjdW8dDGyueb2l2HYgMJSZj9ZtH+n4Z0bEYEQMbt++vXkDl9qo9ppF1eX5VovUqJGqQk6RqcxaGogi4qqIWD/MY9koH/swlemvB1oxpsy8IDMHMnNg1qxZrfgKqW2qvUVWi9Qoq0LS8Ca38uCZefwEPvZi4PUR8QlgJvB4RPwWWAvMq9nvEOB24B5gZkRMLqpE1e1SKVSrRacdd+gTK9Gq1SKvW6Sq+hVkUKkKXbh8wCAk0YVTZpn50sw8LDMPAz4LfCwzPw/8FDiiWFE2BTgFWJ2V6wZcDby+OMRy4FvtH7nUWVaLNBKrQtLYOnYdooh4LfB3wCxgCLg+M19Zt8+HgQcy81PF61dRCUmTgK9k5rnF9udQabI+AFgHvCUzd481Bq9DpH5Vf92iqZOD+Qfsyyde/3x/AZbIuk07eP8//YxNdz/I7scq26wKqZ/tyXWIvDCjgUh9auvQLj51xc1cfsPWJ6ZIvP1HOQw3PeZFFlUGBqIJMhCpDNZt2sGf/9PPue3uB56oEuz/jMksPXK2wajPVIPQ93+xnR27HgEq1cFDD9iXj1sdVAkYiCbIQKQyqZ9GAzhw3yl8yemTvjDc+XV6TGVjIJogA5HKpjqNdvUv7npKBcH+ot41XJ/Q/s/Ym6XPe5bTYyodA9EEGYhUVsP1FxmMestwQcg+IZWdgWiCDEQqu+H6iwxG3W24IGSfkFRhIJogA5FUYTDqfgYhaWwGogkyEElPNVIwmvvMfVg87wBXpbVZddXYus072LZjl0FIGoOBaIIMRNLwhgtG4HL9dhlu+TwYhKSxGIgmyEAkja4ajO4c+i337X70ie0zpk1i9vRpTqc1WXVa7K6h3U/5837mtMnMnr6PQUgag4FoggxEUmOGW64PTqc1w0jTYuDyeWm8DEQTZCCSxqcajNZt3sHWHQ895Zf3jGmTOPAZUwxHDVi3aQd/dekNHDh9Kjdsvu/pIXPmNBbP298gJI2TgWiCDETSxI00nQaGo+FUp8N2Pfwo23fufkqYBKfFpGYwEE2QgUjac7VVo3vvf9hwVGO0EDRt77049vAD2Hbfbzlq7jOtBklNYCCaIAOR1FyNhKMZ+0xm2t5792VDdm0/0KOPPf60EDR1cvCs6VOZtvdkK0FSCxiIJshAJLXOWOFo6uRg1vQpAOy91149WUGqrQAB3P/QY8P+nIYgqT0MRBNkIJLaozYcPfrY49y187dP66GBJytI0H0hqT78AMP2AkGlH6hSCTMESe1kIJogA5HUGdWG7Gq42PnQo0+rrFTVhqRazZ52q5/uqjdS+KlWgAAmT9rL1WFSBxmIJshAJHWH+goSjB6Sqmqn3fbUcNNdw31fNfwAVoCkLrMngejp/9slSW02d+Y0Pv3GFz5l23AhqdZdO3/L7keTLTt2N3Us1emueoYfqb8ZiCR1peFCUq36abc95XSXVG4GIkk9afH8/bnyPS/r9DAk9Ym9Oj0ASZKkTjMQSZKk0jMQSZKk0jMQSZKk0jMQSZKk0jMQSZKk0jMQSZKk0jMQSZKk0jMQSZKk0jMQSZKk0jMQSZKk0jMQSZKk0ovM7PQYOiYi7gdu7vQ49ISDgLs7PQg9heeku3g+uovno/s8LzOnT+SDZb/b/c2ZOdDpQagiIgY9H93Fc9JdPB/dxfPRfSJicKKfdcpMkiSVnoFIkiSVXtkD0QWdHoCewvPRfTwn3cXz0V08H91nwuek1E3VkiRJYIVIkiSp/wNRRJwYETdHxMaI+MAw70+NiG8W718bEYd1YJil0sA5+dOIuDEifh4R34uIQzsxzrIY63zU7PdfIiIjwlU1LdbIOYmI/1r8PdkQEV9v9xjLpIH/Zs2PiKsjYl3x361XdWKcZRERX4mIuyJi/QjvR0R8rjhfP4+IYxo6cGb27QOYBNwCPAeYAvwMWFi3zzuALxbPTwG+2elx9/OjwXOyFHhG8XyF56Sz56PYbzrwQ2ANMNDpcffzo8G/I0cA64D9i9fP6vS4+/XR4Pm4AFhRPF8I/KbT4+7nB/B7wDHA+hHefxXwHSCAJcC1jRy33ytExwIbM/PWzHwYuBhYVrfPMmBl8fwfgd+PiGjjGMtmzHOSmVdn5kPFyzXAIW0eY5k08ncE4KPAx4HftnNwJdXIOTkDOC8zdwBk5l1tHmOZNHI+EphRPH8msLWN4yudzPwhcO8ouywDLsqKNcDMiJgz1nH7PRAdDGyueb2l2DbsPpn5KHAfcGBbRldOjZyTWn9MJemrNcY8H0W5eV5mfrudAyuxRv6OHAkcGRE/jog1EXFi20ZXPo2cjw8Db4mILcDlwLvaMzSNYLy/ZwCvVK0uFhFvAQaAl3V6LGUVEXsBnwbe2uGh6KkmU5k2ezmVCuoPI+LozBzq5KBK7FTgq5n5vyLiOGBVRByVmY93emBqXL9XiG4H5tW8PqTYNuw+ETGZSrnznraMrpwaOSdExPHAB4FXZ+buNo2tjMY6H9OBo4DvR8RvqMzHr7axuqUa+TuyBVidmY9k5q+BX1IJSGq+Rs7HHwOXAGTmNcA+VO5zps5o6PdMvX4PRD8FjoiIwyNiCpWm6dV1+6wGlhfPXw/8exZdWWqJMc9JRCwG/p5KGLI3orVGPR+ZeV9mHpSZh2XmYVR6ul6dmRO+X5DG1Mh/t/6FSnWIiDiIyhTarW0cY5k0cj42Ab8PEBG/QyUQbW/rKFVrNXB6sdpsCXBfZm4b60N9PWWWmY9GxDuBK6isFPhKZm6IiHOAwcxcDXyZSnlzI5UmrVM6N+L+1+A5+SSwH/APRX/7psx8dccG3ccaPB9qowbPyRXACRFxI/AY8GeZaWW7BRo8H+8FLoyI91BpsH6r/2PdOhHxDSr/Q3BQ0bf1IWBvgMz8IpU+rlcBG4GHgP/W0HE9Z5Ikqez6fcpMkiRpTAYiSZJUegYiSZJUegYiSZJUegYiSZJUegYiSZJUegYiSS1XXCDtRxFxUs22N0TEv0XEtIj4QURMKrYfGRGXR8SvIuK6iLgkImZHxMsj4l/rjvvViHh98fz7Y11Bu/jODRHxeKNX246IxyLi+ohYHxGXRcTMYvthEbGreK/6OL1476qI2H9cf0iSOspAJKnliovU/Qnw6YjYJyL2Az4GnAW8DfjnzHwsIvYBvg2cn5lHZOYxwBeAWU0aynrgdcAPx/GZXZn5wsw8isrFW8+qee+W4r3q46Ji+yrgHc0ZsqR26OsrVUvqHpm5PiIuA/4c2Be4KDNviYg3A28qdnsTcE1mXlbzue8DRMTLmzCGm4pjTfQQ1wDPb2C/1cB/AOdO9IsktZeBSFI7fQS4DngYGCjuDfWczPxN8f5RwNpRPv/SiLi+5vV84F9H2Lepiim936dyu5+qBXXjeVdm/kdm7oiIqRFxoLfUkHqDgUhS22TmgxHxTeCBzNwdEXOBoXEc4j8y84+qLyLiq00e4nCmFaHnYOAm4Ls1792SmS8c4XN3AXMBA5HUA+whktRujxcPgF1U7gxetQF4UdtHNLpdReg5FAie2kM0mn2o/HySeoCBSFLHZOYOYFLRTA3wdeA/R8QfVveJiN+LiKPGc9yIuCgijh3H/gdHxPfGGOtDwLuB90bEqNX1qDQpPRv4TaNjkNRZBiJJnXYl8BKAzNwF/BHwrmLZ/Y1UVmttH+cxnw9srd8YEa+NiC3AccC3I+KK4q05wKNjHTQz1wE/B04tNi2oW3b/7mL7i4A1mTnmMSV1h6ishpWkzoiIY4D3ZOZpTTreDODLmfmGcXzmncCmzFzdpDH8LbA6M0etOknqHgYiSR0XEW8DVmbmY50eSzNExBmZeWGnxyGpcQYiSZJUevYQSZKk0jMQSZKk0jMQSZKk0jMQSZKk0jMQSZKk0vu/H9tQwi0wwcAAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from pycalphad import Database, calculate\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "dbf = Database(\"nbre_liu.tdb\")\n", "comps = [\"NB\", \"RE\", \"VA\"]\n", "\n", "# The values for the internal degree of freedom we will vary\n", "n_pts = 1001\n", "x = np.linspace(1e-12, 1, n_pts)\n", "\n", "# Create the site fractions\n", "# The site fraction array is ordered first by sublattice, then alphabetically be species within a sublattice.\n", "# The site fraction array is therefore `[RE#0, NB#1, RE#1, NB#2, RE#2]`, where `#0` is the sublattice at index 0.\n", "# To calculate a RE:NB,RE:NB interaction requires the site fraction array to be [1, x, 1-x, 1, 0]\n", "# Note the 1-x is required for site fractions to sum to 1 in sublattice #1.\n", "site_fractions = np.array([np.ones(n_pts), x, 1-x, np.ones(n_pts), np.zeros(n_pts)]).T\n", "print('Site fractions:')\n", "print(site_fractions)\n", "print('Site fractions shape: {} ({} points, {} internal degrees of freedom)'.format(site_fractions.shape, site_fractions.shape[0], site_fractions.shape[1]))\n", "\n", "# Calculate HMR for the Chi at 2800 K from Y(CHI, 1, RE)=0 to Y(CHI, 1, RE)=1\n", "# Pass the custom site fractions to the `points` argument\n", "result = calculate(dbf, comps, \"CHI_RENB\", P=101325, T=2800, points=site_fractions, output='HM_MIX')\n", "# Extract the site fractions of RE in sublattice 1.\n", "Y_CHI_1_RE = result.Y.squeeze()[:, 2]\n", "\n", "# Plot\n", "fig = plt.figure(figsize=(9,6))\n", "ax = fig.gca()\n", "\n", "ax.scatter(Y_CHI_1_RE, result.HM_MIX, marker='.', s=5)\n", "ax.set_xlim((0, 1))\n", "ax.set_xlabel('Y(CHI, 1, RE)')\n", "ax.set_ylabel('HM_MIX')\n", "ax.set_title('Nb-Re CHI Mixing Enthalpy')\n", "plt.show()" ] } ], "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": "3.8.0" } }, "nbformat": 4, "nbformat_minor": 4 }