{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Plotting Isobaric Binary Phase Diagrams with `binplot`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These are a few examples of how to use Thermo-Calc TDB files to calculate isobaric binary phase diagrams.\n", "\n", "Note that, at the time of writing, invariant reactions (three-phase 'regions' on binary diagrams) are not yet automatically detected so they\n", "are not drawn on the diagram." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "from pycalphad import Database, binplot\n", "import pycalphad.variables as v" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Al-Zn (S. Mey, 1993)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The miscibility gap in the fcc phase is included in the Al-Zn diagram, shown below.\n", "\n", "The format for specifying a range of a state variable is (*start*, *stop*, *step*)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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w9Q8++IDZs2dzxhn5/XofP3481dXVHHrooZx44omMGTMmSrjNKlhhE6oEehR4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\nQMpfdMphNMpfNMpf7jTzcDI1V9jUAaP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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "db_alzn = Database('alzn_mey.tdb')\n", "my_phases_alzn = ['LIQUID', 'FCC_A1', 'HCP_A3']\n", "fig = plt.figure(figsize=(9,6))\n", "binplot(db_alzn, ['AL', 'ZN', 'VA'] , my_phases_alzn, {v.X('ZN'):(0,1,0.02),\n", " v.T: (300, 1000, 10), v.P:101325}, ax=fig.gca())\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Al-Fe (M.Seiersten et al., 1991)\n", "\n", "Tielines can be removed by passing the `tielines=False` argument." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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tuCH7AFW4f5Nam9rWkhLeFGFBx46tuv4fXtqx/zlomu8/eyZiRUVFjBw5Mtj0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\nC7kE0bALWXKn3OVH+QsvabmrqyEKuebGgAH15yG688784kla/mKjTdQ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "db_alfe = Database('alfe_sei.TDB')\n", "my_phases_alfe = ['LIQUID', 'B2_BCC', 'FCC_A1', 'HCP_A3', 'AL5FE2', 'AL2FE', 'AL13FE4', 'AL5FE4']\n", "fig = plt.figure(figsize=(9,6))\n", "binplot(db_alfe, ['AL', 'FE', 'VA'] , my_phases_alfe, {v.X('AL'):(0,1,0.01), v.T: (300, 2000, 10), v.P:101325}, \n", " tielines=False, ax=fig.gca())\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Al-Ni (N. Dupin et al., 2001)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Failed to converge: OrderedDict([('P', array(101325.0)), ('T', array(1610.0)), ('X_AL', array(0.50001))])\n", "Failed to converge: OrderedDict([('P', array(101325.0)), ('T', array(1570.0)), ('X_AL', array(0.50001))])\n", "Failed to converge: OrderedDict([('P', array(101325.0)), ('T', array(1320.0)), ('X_AL', array(0.50001))])\n", "Failed to converge: OrderedDict([('P', array(101325.0)), ('T', array(1260.0)), ('X_AL', array(0.16001))])\n", "Failed to converge: OrderedDict([('P', array(101325.0)), ('T', array(1270.0)), ('X_AL', array(0.16001))])\n", "Failed to converge: OrderedDict([('P', array(101325.0)), ('T', array(1920.0)), ('X_AL', array(0.52001))])\n" ] }, { "data": { "image/png": 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A6kAFrfUFc5t+wA9KqYFa6+uO/rpE5ry8vChYsCD7vPaxjGUWXXOgwAFKJ5a+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\nH59oVTUQVWoCRJUa/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "db_alni = Database('NI_AL_DUPIN_2001.TDB')\n", "my_phases_alni = ['LIQUID', 'FCC_L12', 'BCC_B2', 'AL3NI5', 'AL3NI2', 'AL3NI1']\n", "fig = plt.figure(figsize=(9,6))\n", "binplot(db_alni, ['AL', 'NI', 'VA'] , my_phases_alni, {v.X('AL'):(1e-5,1,0.02),\n", " v.T: (300, 2000, 10), v.P:101325}, ax=plt.gca())\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Nb-Re (X. L. Liu et al., 2013)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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9yiuvvMIoRlW4XRppHOJQFY64EKvA/kxVwlVeCSOSMIrdjSkRZLTSFDoqG9zS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\n54BqEvwj8hm+C2lG8EmTJvXZc889h++1117Dhgw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p2krwR9KYmfWYJBMVOE4HVZokxzJJ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\nYjWCTpWmwqGkSSQP9egB69Y5z44/A+POqMPJO2EqTYnkTZWmfNOOlcA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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "db_nbre = Database('nbre_liu.tdb')\n", "my_phases_nbre = ['CHI_RENB', 'SIGMARENB', 'FCC_RENB', 'LIQUID_RENB', 'BCC_RENB', 'HCP_RENB']\n", "fig = plt.figure(figsize=(9,6))\n", "ax = binplot(db_nbre, ['NB', 'RE'] , my_phases_nbre, {v.X('RE'): (0,1,0.02), v.T: (300, 3500, 20), v.P:101325},\n", " ax=fig.gca())\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Calculating Energy Surfaces of Binary Systems" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is very common in CALPHAD modeling to directly examine the Gibbs energy surface of all the constituent phases in a system.\n", "\n", "Below we show how the Gibbs energy of all phases may be calculated as a function of composition at a given temperature (2800 K).\n", "\n", "Note that the chi phase has additional, internal degrees of freedom which allow it to take on multiple states for a given\n", "overall composition. Only the low-energy states are relevant to calculating the equilibrium phase diagram." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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TJl3bsGFDa3NrbN682WvIkCE35GMxMTEBkvv+xRdf7CSNN2/evGzixIl/yFuX\nShQVFbkEBweH+Pv7h86ePbvL4sWLC2z4VtgMidIGzPAVK9B1+HDD+fm9e5E+YYIDd0QQNYgGwFGY\nF6xVLWWl5j5EaEFFwtUGa+szzyjP5f0u5BbT/HxKeiLshBaANyovQCWWwfi3ZEdrqCWSk5NRXFws\nTho1MlhJx8BoJVV/uKtreHl5lR89ejQnJSXl97Zt25ZOmTKl6/Lly9tYmj937tz2wcHBIe3atesp\nHx87duzN3bt3t1i3bl3rsWPHKqyku3fvbtq6devSwMDA4ujo6JvHjh1reuXKFYPKfeONNzp16tSp\nx4svvui/aNEihYBMS0s7nZubm5Obm5vz8ccfn5Nfmzdv3uWNGze2uXbtmkInSu77M2fOHMvIyDjx\nwgsv+Cvqx1YTEqUNnMnbtyuy8s/t3UvlogjnxFwpK/ljmeVbK4U1aysDikqA9/XTJYdGmb5Jcmkp\n0Eb2b2vaNIAcHITNaAF0hunvXRSAqzau4QfheZD/fdRypzZ5xj2GDAEgkmDel80ZNapWt1Ql3Nzc\n8NRTT916//33LyQnJ+dv2bKllXQtPDz8/m+//da0TP/Hv3Tp0ou5ubk5t2/fVphO3d3dec+ePe+u\nXr26/eTJk6/Lr3366aetT58+7d6xY8ceXbp06XHnzh3XTz/91PAa77zzzrnff//9yLx5887Hxsba\nXLjP29u7bMyYMdf+/ve/t7M0Z8iQIXeuX7/uVlBQYLewCBKlToC5clFUYJ8gVFhqFmBv0QqhEWYD\nKAewQl/66n6xOC8DcOWqSGouA3CWA28Nt7wW4aTMgvkPPVEQyYK20gim7vgzcGhq+8KFCxUZ91L3\nJk/ZtkytpPfs0SjZrmRnZzc5cuSIoU3owYMHPTp16lQsnYeFhRX17NnzzuzZszuWlorQzLt375pt\n/z537tyLixcvPte+ffsyaaysrAz//e9/Wx88ePDY+fPnj5w/f/7I559/fnLTpk0KF76rqyveeOON\ny+Xl5Wzz5s0tbN3/woULL61fv75tWVmZ2dCIgwcPupeXl8PHx8ducaUkSp0EdbmoPUlJeM/XF+co\nk4IgbMOaaOUAnrF4twHp342kIaA6l0L83PXHnQF8chTgVqyvhkcoKidKiLpJMir+OVuqMFER8jJN\n0qMYteKOtxWtVoskWRagW3o6oBFSdJ1snqmVNCe3pvdWWW7evOkaExPj37Vr19DAwMCQ3Nxcj6VL\nl16Qz/ny3pV5AAAgAElEQVTss8/OXrt2za1Lly49QkNDuz/66KOBf/3rX8+p14qIiLg/a9Ysha37\nyy+/9PTx8Sn29/c3xJgOGzbs1smTJ91///13RZS6i4sL5s6de+Hvf/97e2lMHlPav3//QPVrdujQ\noXTYsGHXi4uLDW9VUkxpcHBwyLPPPhuwevXqs27qLM1qYFaRN2QiIiJ4VlaWo7fhML5buBB75Gm/\njCFu7150iqwDNXIIooEzbhzwezrwFYBWUIpSwKgTGEQis5uZOTWGjT3IiWqyECLEo6ZZgBpLQKpJ\nAgICcObMGQAAa9YM/PZtAEAQAEl1pqYCU6ca72nUCCgpYb9yziPka2VnZ58NDw//wzhSuyWhCPNk\nZ2d7h4eH+5m7RnVKnYzB+sKHBmHKOf45YABe+PFHEqYEUcOkp4vnNgC8vIAbN5TXmzUF7t0DXF2B\nM2eAopeArjuUc2pMpF6FcP3aAwbgE9QpC5zdyAQwGcAtR28EInmvAZWg1ul0xhJQAPi//204Xm+Y\noxSkAPDTT0CUTb+7JCDrOuS+d0IGJyYiWJb+W15cjNSHHyZXPkHUIOr8wrQ0YN48ZRKTu7t4LisD\npk8Hum0H/i9evFFLj1S1+1X+WIC6AUfFXbfq82MUak+QPoOKw0UakCAFgFdeeQUG721AgKEshSeM\nBvxx40zvI3tKw4FEqZMyYdMmjFy71jhQVob/9+ijJEwJooYw1lMU7sakJGDpUlGLVBKm+rbeAIBd\nu8RzM1UTvwqz8RNhPe61LotZZyEetv1cNjlqg7VPZmYmvvjiCwAAYwyuMivpZ/rn1FTThhLyf2NE\n/YdEqRPTOy5OkfzES0qQGhVFmfkEYWfUVtLBg8U/13btgH37gFWrxHh0NNBEn6srlQKfORMYO9Z4\nL+fA6NF23mBVxWxN1YOtDwxH1b9HDczCaQ9iYmIMx6xlS5TpzZ+BAKIhPohNm2Z6X1xDDBFxYkiU\nOjlj1q1TtCQFRLxpbl2vSkwQ9Qi5ldTFBfDXVwscOlS48KXGNTodUFQkjktLxTVAxKLKqrrhwAGg\nzn52tFYPtqE8ttvrG0akpqaisLDQcF4ucxmk6Z+jo8UHMjnL7FimjagbkCglTFqSAsCGUaPwc3Ky\ng3ZEEA2HWbOU52vWAPPnC8H5zjvAu+8aKt5g5UrjvLIy4d5fskScJyYCDz5ovJ6URN2eiIbByy+/\nbDwZNswQS9oLIpY0NRU4dMj0vjm1XNCfqHlIlBIAREvSkargnG8TErBD/R+VIIhKkSKrJ+niItyN\nGo0Qo4Ay2WnmTKMV1RxqB8bUqaYxdgRRn8jMzERJiayVu75QPgOwFeaz7QGKJW2okCglDPSOi8OE\nrVsVY/tTUshiShBVRB1LumaN8nzlSmENlWJKNRpg925REgoQz5ILX6cT89Uuy6eesvu2CaLWmCLL\na2CdOxvcBp9AdG/SG00VSB/uKo03wsHQx24Pb4Rbe0lXV9c+UrH54ODgkLy8vMYA8P333zeNiIgI\n8vPzC/P39w+dMGFCl1u3brkAwMaNG1uEhYV1DwgICPX39w+dPn16J0vrv/rqq77t2rXrGRwcHNK1\na9fQjz/+2NDNaezYsX4dO3bsIb12r169ggFg+fLlbVxcXPpotVoPae4DDzwQKu2tY8eOPQIDA0OC\ng4NDAgMDQz777LOWVfhuVwkSpYSC4OhoIUxdja13yWJKEFVDHkvKmOk/0pkzlTGlgNGVL90jd+0v\nXQp88YUyvvSPP0xDBAiiPjBr1izckIr1uriAb9wIQDSeioP4vTbnts/IqOILXrVzbXYb1mvSpEl5\nbm5ujvQICgoq1ul0bs8991zXJUuWnDt79uzRU6dOHRs6dOjNGzduuOzfv9/9tdde6/zpp5+eOX36\n9LHjx48fCwgIKKroNV566aVLubm5OVu2bDn52muvdSkqKjKUM37nnXfOSa998OBBQ9crHx+f4rff\nfruDpTV37959PDc3N2fTpk2nEhISaq3pLIlSwoTg6Gi8cuYMWCNjl7L9KSmUlU8QlUBdT/GTT0zn\nSG58jeotX8q8Ly0VLvt584AxY0SB8H37gPJyQGZgQkoKQA4Noj6h1WqRIo9tycgwFBx9FyKONMVM\nK9VWrcxbT+sT7733Xrvx48dfHTJkyB1AtAB94YUXrms0mtKkpKT2r732WkGvXr3uA0CjRo0wb968\nK7as26NHjyJ3d/fyP/74w9Xa3MGDBxceP37cIzs7u0lF827cuOHaokWLMlte3x6QKCXM4qXRYHx6\nOtw8DNZ97ElKwlsuLjhA2RUEYRWpexMg6pJWxt0oF6kxMcJCmpYG9OolrKozZoiaplKxfQBISKDE\nJ6L+ME72qc3Nx0dRKH+A1nwcKQBk17OeTPJe8Y8//nhXAMjJyfGIiIi4a25+Xl6eR2RkpNlr1tiz\nZ0/TLl263O/YsWOpNPbGG290kl4/OjraELHu4uKC2bNnX3zrrbfMWksHDhwY+MADD4QOHTo0aPHi\nxeersp+q4HSiNDc3F1rKDLCJ4OhoLLx7F4/IfYWcY9vUqVQyiiAq4E9/Up7LBapOZ9rJSc0HHxiP\nb98W8zkHVq8GWrQwitYNG5T3UeITUR/QarXQyf4ASmW5DJ8BGDnS/H0PPWTqVajryN33O3fuPFUT\nr/HRRx/5+Pn5hQ0aNCh40aJFF+TX5O77zMzMM/JrL7744tUDBw40z83Nbaxec/fu3cdPnDhxLCsr\nK+f111/vXFhYWCt60elE6Z07d/DII48gk0SVzQxOTETX4cMVY1QyiiAs8/33xuPmzY3uRp1OuPXl\nyU3m+OUX4zHnwsUvlZGS1zT95RdKfCLqH88//7zh2GPQIIPbngH4Iha4YsFZLf+7kDin1WJVWBja\nASF232gN0b1793tZWVlNzV0LDAy8r9VqzV6zxEsvvXTp7NmzR1NTU09PmzbN/+7du8z6XSI0ID4+\n/uLbb7/d3tKc0NDQojZt2pQcOHDA3dIce+J0ohQASktLFd0jCOtM3r5daTGFSICitqQEoaR/f+X5\nE08IISllz2u1wg1fWGjZWjpzpvG4vFzMU8efSolP166ZJj6Z6w9OEHWB5ORknDhxAgDQ2MMDpWlp\nhmuDtiuTA+U884z58YyYGFw5dgyugIf5GXWP119//fLGjRvb7Nq1y9BEeNWqVa3z8/Pd5s+ff/Ef\n//hHh8OHDzcBgLKyMrz55ps+tqw7ZcqUGz169LizcuXKNrbuJT4+/uqePXtaXLt2zWzS1vnz593O\nnTvXpFu3bsW2rlkdnE+U6jMICgsLyY1fSQYnJpqUjEqNiqIYU4LQo9MBe/caz5s1E9nyq1cLy6iU\nbR8VZRwzh0YDeHkZz6dPN3X7yzP3ExOViU/p6ablqAjC0Wi1WiQkJBjOm/7nPyjRf8ryuQx8X4GV\nf9Mm07HczExcO35cOuWmM1S0QanVOZWhiutpNJrStLS003PmzOnk5+cXFhAQELpnzx7PVq1alUdG\nRt5bunSpbuLEiQEBAQGhgYGBoQUFBY2sryp48803C1auXNm+rEzkJsljSoODg0Pu37+vsKK6u7vz\n6dOnX1aL0oEDBwYGBweHDBw4MGjRokXnNBqNfb93FmBc3bergcOaNOEoFoI/NDQUR48edfCO6h8H\nUlOxTRWF3jc+HsNXUENnwrlp107pety3TyQoAUJASlZOnU4I0hkzLMfIZWYCo0aJ40aNgFdfFZbR\nefOMhffVjBunjF+Njwfoz5KoKwQEBODMGRHW6OHpiXs3b4oLHKJ1037z9y1bZr57U1Lz5ii5cwcA\nsAq4f4lzhbU0Ozv7bHh4+B/22j9hH7Kzs73Dw8P9zF2zb82uegALCAA/dQooKcGtW7ccvZ16SW99\nGrFcmO5PScGvn3yCcRs3Iri+1+sgiCqQmqoUpJ07A76+ytahEvKOTpaIjhaOHc5FaaiZM8W5vKap\nmk2bgDZthEsfMJbUIWFKOJrU1FSDIAWA8s8+M17cA4uC1NvbvCDNzcw0CFIAuAGcMZ1F1Deczn3P\nmzUT6asA8vPzkUqu5yrROy4Ocfv2oamPMdSlvKiIEqAIp0VdwiY/Hxg/vuIse2tIjizOgQsXzLcm\nVbNjh6L3BVJSACoxTDia+Ph4w3HUsGEokowXZQAmWb7vwAHTsZ+Tk7FBciMAeGTBAhQDVSqjVF+Y\nO3due7kbPjg4OGTu3LkWE5TqK07nvm8cEcFLFi0y+MUaNWqE4uJaid9tsGwYNw65cp8hyJ1POBex\nscoEjeHDhbVy376K3e3W6NzZKD79/YHTp0Xd0k8/Fc/r1xsTqGbONIYCaLUiblWOJRcoQdQ0sbGx\nWK//A2nm5YWSI0dQrNEA5QBeB/C++fuGDwe2bzcdf4sZwyJbBwZiVl4eGGO/cs4j5PPIfV83qch9\n73SW0q6A8Iu5iC+9pKREUS+NqDwTNm0yyczfn5KCDZQCTDgJ6ozhjz4CNm40bSFqjorqlsqTO6Tr\nR44on6UsfHnSVGQkoMpJREICdX0iap/MzEyDIAWAFl9/LQQpAFyBQZA2a2Z6rzlBqq6RPUaWvU/U\nf5xOlDYD4AUAS5YYxv7yl784ajsNhsGJiRi5dq1iLDc9HStDQ1FIop9owKhLQAFCIFpqIarGnKiU\niIw0thzVJ9Pio49ESamwMCFU5Vn4cqKjTWuYUtcnoraZNMnom2cuLijQ1yRFOUSDez2y8FAApr+7\ngKnbfsiyZegkrUc0CJxOlAJAGiD8WC1bAgA2b95MxfTtQO+4OCFMZa6VP3Jy8ElkJAlTokGi1SpL\nQLm722YdlWNJVErI40q1WiFUn3hCuPDV4ldtdZ0zB1B9VsTUqSRMidohOTkZd2Rqs/GaNcaLpwBs\nFyEqTFXqPTDQNNTknFaLb2XlpFyaNMHDFI/S4HBKUWrIDW/XzjA2efJkh+ylodE7Lg6Ly8vRU1Y0\n8U5BAT7o3JkSoIgGx4AByvMffrBuHVULR2sWVfn4xIni2ZyQtdQt6okngEGDlGtOnUqufKLmmT9/\nvuHYPyoKRX/Wm0ZLATwn7EKTJxs/eEnk5ZmutVn65dczwlxZC6Le45SiFBAl0SCLRbl16xYV07cj\nY9atM9sBigrtEw2FWbMAeY7kQw8ZuiVWyLvvCuEoiyCqEHlcaX6+eDYnZKVuUVFRxg5SUpLVDz+I\n/cmhGFOiJlm4cCGkAu5NPD1xZsNG0UeUA5gKYD8weDCQlKS8LyDAdK2M2FjckJWTGrl2raE0YWXw\nBsIZ0MdeD28g3NprNm3atJd67NVXX/VdtGiRDwCUl5cjISGhQ5cuXcL8/PzC+vbtG6TVaj0s3b98\n+fI2MTExndXrjB071q9jx449goKCQvz8/MLGjBnjd+bMmQqL7nfs2LFHYGBgSGBgYEjfvn2Djh8/\n3li65urq2kee6b9gwYL2ANCvX7+gsLCw7tK8H3/8sWm/fv2CAOC///2vp6en54PBwcEhgYGBIf37\n9w88f/58pUqPOq0o3QSgSWQkMHCgYYxaj9qXwYmJJsJ029SplABFNAikGqASsrcSuyIXulJcqTkk\n6+nGjUKsSrGqjInx9983tZgmJFC5qPqJFkAYgFD9cd1Cp9MhSaY2i/67E+is/wR1AsB6ERP9zTem\n9/7wg/L8QGoqDssSpaoqSAHgqp1rs9tjvSVLlrTVarXNjh49mnP27Nmj8+fPLxgzZky3mzdvVlqf\nvfPOO+fy8vJyTp8+ffTBBx+8+9hjjwWpOzip2b179/Hjx4/nPPLII7cWLVrUQRpv0qRJeW5ubo70\nSEpKuihdu3r1qtvGjRtbmFsvIiLidm5ubs7x48dzevXqdefvf/97O3PzLOG0olQDoAsgArMaiw8H\nZ8+epUx8O2NIgHIx/qrlpqdjSatWOEeWaaKeok5u6t3b9jjS+fPFXClGtKKaoxJusn99lpwN6tjS\nmzfF60jW0owM8Q//sceU9yUlkTCtf0QDOAYgB8ArDt6LKeNkhodGnr7Ao/pPVhxoFCd+LwcNAtT9\nawYNUlr/1d0DvUNDqyxI6yrLly/vsGrVKp2np2c5ADz99NM3+/Xrd3vNmjWtq7qmi4sLFi9efNnb\n27skPT3dy/odwMMPP3zb1nam8fHxl5YsWeJb0Zzy8nLcunXLtVWrVpVqT+q0ohTQJzxpNICfHwCg\nuLgYL774oiO31CDpHReHV86eRavAQMNY0Y0bSI2KMinvQRB1ndRUZXKTqyuwZUvl4kh//RVYvRp4\n5RXLmfdyhgwxHtsifleuFOvLC49LltT1600zm0mY1jcuy44/cNguzJGcnKwIhSvZ8oVw2wPABeCn\nv4t/uWpPg7e3IqIOuZmZCkHa2MsLk7/8suY27gCuXbvmcu/ePZfQ0NAi+XifPn3u5OTkeFi6z1Z6\n9ux597fffnO3Ze6OHTu8Ro4ceUM6LyoqcpG77z/55JNW0rVHH330duPGjcu3bdvmqV4nKyureXBw\ncIivr2/Pn376yTM+Pr5SdWKdWpRGAvAHFH8JX375JcWW1gBeGg3+Ly8Pwc88oxjfMGoUxZkS9Qp1\n56ayMuuiUl72SYr97NULeOABITKtCU150nJJifU9zpwpYkv37TPuTW5JNZeVn5QkmgAQdR35+2UT\n6DMk6gSZmZlIkGXIo+8C4DGjlXTtddF6Vz5F4soV4we7Qp0OG1X/K57/+mt4Wauv1kCw1tSIMWZT\n1yNbmiMNHDgwsHXr1uE//fRTi2nTpl2TxtXu+2nTpl2X37dgwYKCpKSkDur1JPf9xYsXD0+aNOlq\nfHx8J1v2KuHUohQAPgfQKDISGDrUMBZNvdtrjAmbNqGvrN0cIOJMlwcGUtkoos4zYoTy/KGHzGfB\ny62iclf6jBlGi2VUlIgeatHCei1TOZxbd/lrNOaL98v3FhdnKkzXrxcZ/ERd5mXZ8VMO24U5YhWf\najTA3kRDctMzBUBcGPD886b3qZPwPhs6FFz26auh1iNt3bp1uYeHR3lOTk5j+fjBgwebRkRE3AGE\nOJTHhV67ds3N29vbJpf4kSNHmoaEhNyraM7u3buP5+fnHw4MDLz32muvVeiSlxMdHX2rqKjIZc+e\nPWbaHgjGjh17Q6vVmlhTK8LpRWkkAFdAYYq4fPkyZs2a5agtNXiGr1iBuH370MTLGOpy/cQJfNC5\nM1lNiTqLViv6ysv55RfzWfByl7zkSpfEp2SxlGJLCwuVAtac4FRXv7HF5W+ufqmU+S/dGxdn2vkp\nPV20NKXPiHUVuancQn9OB5CcnIzr12XGtNWb9P9cgWZ/AP8oAzIzgd27lfe1agVs2GA8z4iNxR85\nOYbzIcuWNeh6pPHx8RdnzpzZ+fbt2wwAtmzZ4nn8+HGP2NjY6wAQGRl566OPPmoNALdv32YZGRmt\nhgwZcquiNcvLy/HOO++0u3LlSqOxY8fetLaH5s2b81WrVuk2b97c5tKlS6627n3u3LkFK1asaG/p\n+vfff9+8S5cuRZaum8PpRSkApADindvDGMKRog54IexKp8hIvHzkiCLOFBBWU6pnStRFHn1UeW6u\n4wxgWkPUUnF8jQbw9BSCVS5gzQnOmTOBYcOUY3Ixaw65wJXE6J07pnuJjhZu/taytIqzZ4Fu3YQQ\nJ+oS6h9I3XBn63Q6pdu+cRDwotFtf2eEiFkeO9b03mvXjB/qfk5OVmTa95wyxa6CtI2okFqr692/\nf9/Fx8enp/R48803feTXFyxYcLlPnz53QkNDQzt27Nhj+vTp/rt27TretGlTDgCrV6/Wbd26tVVw\ncHBInz59uo8ePfr6sGHDbpt7rTfeeKNTUFBQiL+/f1hWVlazXbt25bm7u9vk6u/SpUtJdHT0NSlb\nXh1TOmPGjI7qeyZMmFDYunVrxfdAiikNCgoK+fzzz9t88MEHlfp4y2yJOWhIRERE8KysLJPxAABn\nMjMBWQuzffv2IbIBugzqGt8tXIg9qmJ1fePjMXzFCgftiCCUxMYq+9uHhYne8zqdEJIzZxotkvJz\niYrGV60SIlG6X32+ciUwZozInl+6VLkvKbve3Nrz5on58+YJAbt6tXCd+vqazpUYMcLUGrxsmWl3\nHcJR+AIo0B97ArBqBKsVOnceBJ1OMoE2AtJ/AsaK/51t8oCrwUCbNsDVq8r7pkwB1q0TxztmzcJ+\nmTGo55QpGCNdtAHG2K+c8wj5WHZ29tnw8PBKJdo4ksLCQpdhw4Z17d27992UlJTzjt5PTZGdne0d\nHh7uZ+6aXWt21Wc+BxAVHS18WaNHA5xj4sSJOH36tKO31uAZnJgIAAphuj8lBVkff4zx6ekIphhf\nwoHodEpBCgjhNm+eiBVdvVqUtvH0ND2XxJ+8Zui77xrXkVzsls6l+3bvFtZMc5hbWx3HCgBeXkKc\nmtuHxPbtIqY0Pd04lpAgivbTZ8S6QIHs+DOH7UJO//6pMkEKYNpPwNNGK6nPbOAqTAUpYBSk3y1c\nqBCkLTp3rpQgbSh4eXmV//LLLyccvQ9HQu57PYbY0uhooEkTAMCZM2coE7+WkOqZMllBRl5SQtn5\nhMPp0UN5PmWKaWF6zs2fjx8vBKK1/vaWYkml+z74QDx3kOW6Nm4sxsytLcWxSseAMY61on0AooOU\nKhcRKSmUAOV45GFNjSFrmO0wRowA9u6daRxoNQj4ONKQ3NRpOZDztfl7pc5NB1JTFQYJVw8PjNu4\nscb27Iz07NkzWO6KDw4ODvnf//5X7ZJTNQFZSmV8DNH9DCkphrovAwYMwI8//khu/Fqgd1wcesfF\n4bMRI3BK5kPcNnUq/rdqFSZu2eI0JUGIusG4ccK6KBEYKKw7Op0QoHI3u5eX8vzgQWNJpnffNW+Z\nBIw967Va8xZMzoXLfcYM4Px5kbEPiFJU0p+D+p6ZM8VacsvojBnm3fzmWLFCJGbJo2rS08XYzp22\ntVMl7M1c2XGFTXpqnMxMYMIE4P79WQCkPJbGwI9phq25HwTOvSI+PMnb8Ur8+9+mLnsAmJWXR+/z\ndubw4cO5jt6DrZClVEYcgEBApKS6i3qzxcXFmDRpkiO35XRM3r4dQ1RZJJcOHKDsfKJW0WqVbmwA\nyMsTz+re8+bOzZVkkq8dFSWe1T3r5ajrm0qCFBCiVKczuujlVlZ5hr+0B2mtJUts6yKVmCiimfSO\nIwAiLCEqigrtOwZ5/sdKi7NqmuRkkXpx/34m9GnCAIDhazYBofo/gCLg/igRwmJOkK5dC5T+mGwi\nSIcsW0aC1MkhS6mKNAD9AZTLrKWnT59GZmYm1S+tRR6eMwddBgzA56NG4e6lS4bxbVOn4t61aw26\nRAhRN3jkEeW52qUtYSmJSR0fKmf2bCFEn34a+OILoyUTMLrkNRqjxVO6xpgQlRLTpwNffWW8pi4d\nJd+D2nqqjns1R3S0seuUnKQk4Phx4eonagO5655BmFBqH2XC30TDuKd3O+yYGm2wkmqOA26NgDNm\nChd5ewNPhmmRGiXL1nd1RdzPPzfIWqRE5aiWpZQxlswYy2WMHWaMZTDGWurH2zDGvmeM3WaMpaju\n6cMYO8IYO8kYW84YY/rx1oyxnYyxE/rnVvpxpp93Uv86vWVrTdHPP8EYm1Kdr0UiEkA3QFhL/f0N\n4zExMfZYnqgEnSIjMefiRfScovzRfpuQQMX2iRrlT38CSmWFTsLCLCf6SBbI8eNt72X/4YfCJX/h\nghB9kttfKt20ZIlR7ErXNBpjz3CJb78VnaHUmItRVVtPpbhXc/VO5fdLMauqP0OkpwsrKnUKrg3m\nyY6XWpxVU2i1QMuWckG6EMBdw/X7GzMNgtQTwKY2wLlz5td6ptVCpEZFGQcYI0FKGKiu+34ngDDO\neU8AxwHM14/fB/BXAK+buWc1gOkAHtA/pFZK8wB8xzl/AMB3MP4VDpPNna6/H4yx1gAWQ+jIfgAW\nS0K2uhiajn7+uWGssLAQmfTu6xDGrFuHRxYsUIxdP3ECH3Ttilz6mRB2JjkZ+P575ZhU/slSMpLU\n0lPey97SfEDEZO7bZ9oKVOLWLRFnqhaNK1cCP/xgPC8tFS72efOMr2WuSL4cc659NfKwAWn+unWm\nHaCKi4Url3qN1CQ6AOX6YxcAteslWrhQ/J4aY6sXAjAGG/uNWoCSQcZs+50A5k4y3w732XYL0f6E\nsvzfhC1bSJASRjjndnkAGAPgX6qxWAApsvMOAHJl5xMBfKw/zgPQQTYvT3/8MYCJsnvy9NcN95qb\nZ+nRp08fbgvLpBuGDuUQwTzcxcWF5+fn23Q/YX9u5OfzDwMD+ZuA4vGfZ55x9NaIBoSwIRofCxaI\n8blzxfm8eab37NvHeVQU51u3cj5jBucvvyweluZL5OeL69LbinQu3evrK9ZWz5fvb+tW43VpjzNm\nKNetDPn54vVnzDB/f34+50FBpt8nLy/lXgl7EcmN/8K8avWVhw9X/5zzDf8PAfB2miiOIuPuAg+J\nvxf17wbA+fTQZcr3bsb4b/Jf3moCIIur/t8fOnToLOc8S3q0adOmRL7/6j7atGlTIl/f3MPFxYUH\nBQXdDQwMvNu9e/c733zzzW/Stezs7CMDBgy4odFo7vv7+98bNmzYtfz8/EOc86xdu3bl9OnT51aX\nLl3u+/n53Rs/fvyVmzdvHjD3Gh9++OGZli1blgQFBd318/O79+abb+ZL1/7yl79caNu2bXFQUNBd\n6XHlypWD27ZtywPA//Wvf52Q5g4aNOjGtm3b8jjnWX379r3VpUuX+0FBQXf9/f3vJScnn7X2tdr6\n0P9czGo0eyY6/RnAl1bmdAQgN+qf048BgA/nvAAA9M/tZPfozNxjadwuzIEouiFvP1peXo6//OUv\n9noJopJ4aTT4v7w8kySo3PR0vMUYJUER1SYoSHn+0EMi4QeouKxTRoaweO7da+zSJJWHqqj8kqWE\nqSlTRPmnCxeALVsszweAyZONx9IeJWupulC/LaEF6rao5vacm2saY1tYSElQNYO8LGGaxVn2ZOFC\n8S8lF6UAACAASURBVPurbqTg5aX84Xp/t1H/jxLAfeD4U8qKDRJzO42A7zFjDGmjZs0Qt3dvrdeg\nvnr1ql3zaGxZr0mTJuW5ubk5eXl5OX/729/OL1iwoBMA3L17l40cOfKBF1988Up+fv7R06dPH3v5\n5ZevXLx40U2n07k999xzXZcsWXLu7NmzR0+dOnVs6NChN2/cuGFRs40cOfJ6bm5uzt69e3M/+OCD\nDidPnmwkXXvppZcu5ebm5kgPb2/vMgDw8fEpWbp0aQdLa6alpZ2W1nz77bc73b9/v8bLPlgVpYyx\nbxljR808RsnmLIRot/Uva8uZGbPWUsrSPTavxRibzhjLYoxlXblyxcrLGVkFiHdgWTBVZmYmdBTL\n6FAenjMHE7ZuhYs8LRgiCWoDFVMkqsiIESJ5R8LTU/S2l5AnDanFnVywViQMbSUjAygoMJ+RDygT\njG7JkkkuXBChBxcumN5jqYWpGrX4lsSsOl52xQoROqAvVGIgKUkIWirxbA/U4Uk1L+JGjDAVlowB\njz0Wi8JCY/mHB2PXIqeb/pebA3gGSpOTnokYAY9zRnXrqdFg5m+/OaXLvrCw0NXLy6sUANasWdO6\nd+/etydNmmQIjBg5cuStvn373n/vvffajR8//uqQIUPuAICLiwteeOGF6xqNxmpb0/bt25d17ty5\nSKfTNbI2t3v37nc9PT3LMjIyWlQ07+bNm64eHh7lbm5uNd4C1Koo5ZwP4ZyHmXlsBUSyEYCnADyn\nN6FXxDkAnWTnnQBIb5+XGGMd9Gt2AHBZdo/GzD2Wxs19DWs45xGc84i2bdta+5INxAFoD4hgKr0A\nKikpIWtpHSA4Ohp/vX8fXR57TDGem56Ot9zcyGpKVIrUVFOr0LFj5udK8ZoLFxpFmtyCac6aWVkk\nYbhxo/l1fH2V55JQlLL6X3nF8poVWW4B0/1LYlaKl5UaAgAiyWr2bOCZZ5RrSKWjKNa0usjLEYbW\n6CtZso4GBQGffJKJ7783tjULfDAGh1bHGUxDrpeAZj+YrvkkZiEQsgUbNULczz87VdknqYe8v79/\n6OzZs7ssXry4AACOHj3q0bt377vm7snJyfGIiIgwe80aJ06caFxUVOQSGRl5Txr76KOPfKSi+ZGR\nkYHy+W+88UZBUlKSWWtpTExMQGBgYEiPHj3CXn/99QtubjVfsKm62fdDISr6RnPOrX4D9W75W4yx\nKH3WfQyArfrLmQAkk+QU1XiMPgs/CkChfp2vATzBGGulT3B6Qj9mVwyeM1mtlc2bNyOVRE+dIHbX\nLpMkKJSVYdvUqciIjXXInoj6h776m4EpU6yLyqNHrWev25qNL79HLXLNoS799Pzz4vnDD4UY/OAD\n03WBqolleVcpdWKWJFi7dRNW08aNlfempAihQ2+XVUEL4I7s3Fp0XNXIzAQ8PMy73QcNEqEa//d/\nExXjTTe+A0gWcg5MzgDu3FHeOxKxiEKKwaXZuEULxP30k1MJUsDovj9z5syxjIyMEy+88IJ/eXm5\n9RsrybZt21p169YttHv37j1efvnlS02bNjUYCeXue61We1x+39ChQ28DwFdffdVcvWZaWtrp48eP\n55w+ffpwSkpK++PHjzdWz7E31Y0pTYGoALGTMXaIMfaRdIExdhbAPwDEMsbOMcZC9JdeBrAWwEkA\np2D8S1sC4HHG2AkAj+vPAWAHgNP6+Z8AmAEAnPNrAP4GYL/+8bZ+zK4YHAxxcaKooJ6ZM2eanU/U\nPoMTE7GYc/RVBbkdXr8eS1q2pAx9okKkdocSvXsbe3KbQ8paX71aWB0LC01FpyTWxoyxzWUuv8eW\nuTNnAsOGGc9361uPR0aKuFa5Z9TWdS3FnEoCOTLStCGA3PoaHQ0UFZlaTQEh+smlX1nUrnr7i7lx\n46RC+Mpx6W8iJARITU3F3btGm1PTSWtxSOa2D9wErJdZ332hxavwQW+sNwjSvvHxmF9Y6JQuezlD\nhgy5c/36dbeCggK30NDQ+wcOHGhqbl737t3vZWVlmb1miZEjR14/efLksa+++ip30aJFmvz8fJvN\nmvPnzy9ITEy0GFvq6+tbGhYWdvfHH39sVpk9VYVqiVLOeTfOuYZz/qD+8ZLsmh/nvDXnvDnnvBPn\nPEc/nqV3/3flnMdLLn/O+VXO+WDO+QP652v6cc45n6mf34NzniV7jf+n30M3zvk/q/O1VIQhreaD\nDwymgKKiIioRVccYvmKFiTAtKizEhlGj8HNysoW7CGemf3/gzBnjebNmwK+/VnyPXKRJSU1qwSeV\niaooLlSNre51aQ9qN6u1dUePFmvHxJh2gAKUNVIrQgrSkuqojh4tnqX1unYVz2qrqeTSp7BvW7ks\nO15mcVZVmDVLWLDVHcsAYMEC4OGHRWhG795aTJW7EVx74+6nRrd9h1zgjCzRLgrJmIYotMBlgyDt\nOWUKhlsq8utkHDx40L28vBw+Pj6l06ZNu/rrr782/89//uMlXU9PT2/xv//9z+P111+/vHHjxja7\ndu0yiMBVq1a1tkVoDhky5M7TTz99denSpT627uvpp5++WVhY6Prbb7+ZFcK3bt1yOXbsWNOgoKAi\nc9ftCbUZtYE5AAYC4j+BLMNg3LhxlPRUxxi+YgVeyc9HN7kZCaLgfrKPD86RqYbQM2uWsCrK+e03\n27PUActCUt5m1FJcqBprLntz+2KydE951rs6FGD0aGG1Xb1atCpdvdq2Yv/q15S3KpXqqKprs968\nKcIJ4uKEwFGTni72TfGmFaEuYWCf2qTJyeJ7r+ruCUB4CABg1y7xO3LwIDB79hjFHK81W4yqoQRo\nHm+sRxqFZDyJBEUGct/4eIypyO1Qy7Rp08ZqopC915NiSoODg0OeffbZgNWrV591c3ND8+bN+dat\nW0+uXLmyXZcuXcK6du0aum7dOu8OHTqUaDSa0rS0tNNz5szp5OfnFxYQEBC6Z88ez1atWtnk91+8\nePHFDRs2eF+/ft0FUMaUBgcHh+Tl5Zm44efOnVtw6dIlRXJUTExMQHBwcEh4eHj3Z5999o9HH320\nSnGulYFZz01qWERERPCsrCzrE1XoAARCdAWAu7vwUwHo1asXDhw4YM8tEnbiQGoqtqmDBSHeKOmT\nu3Oj0wGdOyvH4uNFRvm8eUJkSdnztqwltRkFzLcctTRfmmOpVakcc/tKTgYSZN0apbdz9dyoKCFA\nvb0BH7395NgxY4yoJKxXrRICNiND7EUSodI6Op2YU1gohK0Uv7pli7hfmq9ed/hwEYNrDun7TsiR\nSztfAOertVpqqmhJay6UsVUr4MsvRfKc9PNPSwN++GEWcnKM6rX1lAW4tk5fH60MIhNYn/s0CAsx\nEEmGXXMAjy9bVqvtoBljv3LOI+Rj2dnZZ8PDw/+otU0QNpGdne0dHh7uZ+4aWUptRANgg3QiyzI4\nePAgksk1XCfpHReHV/Lz4aPqw7g/JQVvNWpEsaZOzAMPKM8fe8wojMaMEaJq9GjbrKbymE1b4jfl\n1kZpbVvuM2eVtfQ/Xz5XpwMCA4U7dtgwIUYHDjQmL0nzJEttRoZxL+rXlHeDmjFDrOnra7TwypOi\npPtWrhSCdMYM0/hdwJgMRZZTCfUv2xdVXik1FXB1FTG9akHq5ibSJK5fN9bC5Vz8PJ98MlMhSEOe\nWIBr/0w03pwGgyB9ErMUgrQMwJC1W2tVkBINB7KUVpIAAGcA8W586BAAUUOsrKzMLvsjaobczExs\nePppQPVz6jllSp1yLxE1j6+viPWU0GiAn382Wirl1kGpP3xUlGU3vGQ9lISbdFyRpVRubZRbKR96\nSGRBf/ihMlmpIuQu/K1bRcKR/LXGjRNW0l69gLAwEQc7b571/VX0NQC2W5TVX+/YscD27abJNRJk\nOQ0EcEJ/3AR6/1ylUFvQzSH/vZNbuUNDtfjtt/6QMsR9fHzAL140RriWAvAHWpzTYRIGwwcnDIL0\nPppBG/gdduXVfkKTM1hKP/zwwzarV69WxIr27dv39qeffprvqD1VhYospSRKK4kWQBQg3mm7djUE\n1MTHx2OFc7+T1nkKdTp8EhmJO3JFAqCRpydidu50+sxQZ6BPH0AebcOYsCDJBZb8HzUgYi8lV7Tk\nwq7I1W6LK16apxZ/0mfdXr3EPitaS7r2z38Cl/WKwdNTxHRKSF+Xr6+xoL6tX4c1pHqoH3ygFNCW\n1lV/vWPHAl9UYAQcPlyIV+dD7rrfisoUzJ81y3y8qMSgQcJCL4VbyH8+Wq3wEhQUBAEQVYMYc0G/\nv/0C7YJIsS0ONHoJCFmTimhMhav+Xg7gHB7EjqaZyNilsfkDlT1xBlHaUCD3vR2JBDAUEH/NstTF\nlJQUysav43hpNHj9wgWTNqUlt24hNSoKn40Y4aCdEbXBiBFKQQoY3ZZqN7X0WV2esCRds+Zqt8UV\nLwk3tTDo0UM8+/uLa8OGWc6Il15n6FDjmNTdSQo7GDNGPH/xhVhPelRmn5bCF6TWqvI2qBWtq+6I\nlZAgnteuNc3UB0R1Acacrc5prOrcuiDV6YDgYMsJTICwwL/8MvDDD+LnZa4F7ezZQEFBKiRBCgD9\nns+Adn6kUSdfBEauGYfRKkF6qskz0IYddJggJRoONV+evwGyBkBnQPjJ2rUzmCnGjRuHkydPQuNk\nxYHrGw/PmYOH58zBZyNG4JSsrs6pHTvwlosLhixdSvFQDYxZs0xLKC1YYHR1qwXT0qXin7z0z1vu\nnp45U1yzVLpJuj56tFjLnCVSEm7Sa0gkJhrbm1ZkRVTvI03WEj0zU9yvXl8tFqx9HRXts6L7ra1r\nbs24OLHvceOA4mLTe6ZOFY9nnlG2WG14rJcdV1wGauFC8wXv1fTqJapM9OplueTYypWAVpsJwJgY\nOnbsWGx/P9pgumqRr8OIHtMRiK8UCU0HMAWnu63D0f/P3puHx1Wd9+Of0WJhy7JsLOxIsVybxqZf\ny3kiORDJSRujBhJbNIAlkaVBGhpInlgoC2nBsgwBWhzwkH4dgm1IGX/L8gtJSQKMCQkEWuo0gXFZ\nEgohbFk6ChizeiGYxZ7398eZV/e95567jCTPjMbn8zznmZk79577nnPuzP3cd30sXBYLizBYTekY\n0AzxdyG0o2+//TY+8YlPFEMkizHgzDvvxMeTSfdGItx7wQVINDTY9FFlgm3bvBqkri5FAE0Iyhfq\np+GU0AOG2tu9SeNlMJV+bF2dMuFzlDyTCV1rKVNI1dU5fZx5ZrScp/J4vwpUfv0EzUNYaiu/Pu+/\nXxHSoSFzAn7ASSdVnoFResCs98F42zYVoBSL+RNS1jpzfOfSpWpO2W3DtC6rVwOx2JmubdM3bcKb\ns9T7Rant+NKf/RmO2+cQ0ncQw81I4Q5cH2l0FhZRYEnpGHE+gFZA3XEEsUmn09hpycykwbKzz8bF\nRJ5SpQdeeQXbOjpwbVsb9tpctJMWO3d6S4guW+bvq+iXEJ6Rb9WlxkYVVKXXovczffNxAwPARz+q\nXlMpRSSCzr1pk/N+//5wYqhDr2/P5zAR1yjZAsKyFphCGSRZ/f731T6JAGUhR+2XD0EdEu+dpwxJ\nRM85xxOrOYrjjgMyGaV1Hhhwgug2bHBfC6a1ueSSbSDaP/o5PjyMG5qbgRjQkbgSf3v6aaiCWjQC\n8BRW4mr8L57BqWhqOpLcKywON6z5fhzYjpwZ/+yzlUNOrvhvd3c3nntufHnlLAqLj2zYgHe3t+MH\nn/oUDh04MLp9969+hW/On4+TCpxzz2L8GBlR2kiJ+nozEWRcfrm6mf/0pyp5uG62Xr1alfRcvtwx\nzQP+AUMnnaT8WBctchLZA8EmbtZ8bt3qjpIPOuaZZ9yfd+6MHr3PCe/7+xURXLbMcT1YvdqbszQW\nG5uJPuw73U0CUCmvzj9fyXjyycBTT5nPt3mzow2vrwfuvjv6+EsDIwCcnE3f/Ob/h/POCz+qulpd\nr488otaOr9+hITV+UwDavn1qH57/7du34667nCe3+JcS+O6w+q/7+FlnYdkNN7jM9c+iE9/NVQef\nPl09XE0Wj7VEQ8P7DrzyyoTxnqmzZx+84OWXHw3aZ9q0aW1vvPHGL/nzt771rdkPPfRQ7Y033pgB\ngM2bN8++6qqr3kVEICJ85jOfefkf//Efd/f09CxIp9N1dXV1hyoqKuhb3/pW5qSTTvqT6RxyXyJC\nIpEYOe200/YDwAc+8IHjXnzxxeqjjjoqCwALFix486677vrdV7/61aZrrrlm7rPPPvvYu9/97oO6\nrJWVle9ftGjRASJCZWUlXXXVVZmTTz7ZeP6JhNWUjgPNAEaLWt588+j2559/3uYunYT4i1NPxYVv\nvOHRmgKqItSllZV4xKoEJg243CVj2jSVlkjmB/UDmzx10sUaTi7JGZSbdMsWVRmnrk69yu/HYuIO\nOoZJIiOfUp5btiiS8vTTSs4ZM4AbblBjWrPGP2dpUOKWIPeBfMqpMpqbgSefVOdMpxXx9MPeveph\nhLWoCxdGq85VTDz5ZN/o+3feqcB55wUHOA0Pq7l4+22lUX/4YbWG6bQ7mE1CPgz09wN33QV88YtX\n4rTTThvd59hjj8XPvnA+Gh7fiX84+mgPIX0EcXwH/4GFC1Uhhu98Z/IQUgCYSEI6Ef3dcsstM7Zu\n3TrnnnvuefrZZ5/99WOPPfZEfX39qC78sssu++OTTz75xGWXXfbcwMDAnwX1xft+4xvfGPnSl77k\n2vfGG2/83ZNPPvnEk08++cRdd931O94+c+bMg5dddpmxHGlNTU32ySeffOKpp5564p/+6Z+eGx4e\nnjeesUaFJaXjxNVQmeRw6qmumnoXXHCBNeNPUnxkwwZcTOT1N81mccc55yAxZ4416Zc4Zs1yyh8C\nQE2NKp8oc4+aTM/xuCI0vb3BJmaZHN6PZJn2jYogAmoyvzY3A9dd594nKoLkfO97zUTURMT10qYm\n+cPcI6KgvR3Ys0eZqru7lWk7CH/4g6rexSS12ER1/Xq3LLEY8Od//jMAan7XrjWkWoDSzgOOSZ6h\ngpSUD/Ivc/o4aapnksqZGPr7gXvuUX7LmzdLl4EKfOFbN2PuHVficx0dmP7aa5wFCocA3I3EqP/o\n738PvOc97py4FvkjkUg0XnHFFX9csGDBOwAwbdo0+vu//3tPCquVK1fuHxkZqYnS50c+8pHXX3zx\nxerwPYFPf/rTr2zfvv3o3bt3Vwbtt3fv3sr6+voJLdHqB2u+nwBsQS5mccMGlYV7xw4AwGmnnYYX\nXnihmKJZjAPLzj4bc5YuxXdOOQVvvvLK6PYDL71kTfoljFm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kmKLvH3744TlVVVVJAEth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\n/2yOoNbkth+V+/xs7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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pycalphad import calculate\n", "from pycalphad.plot.utils import phase_legend\n", "import numpy as np\n", "\n", "legend_handles, colorlist = phase_legend(my_phases_nbre)\n", "\n", "fig = plt.figure(figsize=(9,6))\n", "ax = fig.gca()\n", "for name in my_phases_nbre:\n", " result = calculate(db_nbre, ['NB', 'RE'], name, P=101325, T=2800, output='GM')\n", " ax.scatter(result.X.sel(component='RE'), result.GM,\n", " marker='.', s=5, color=colorlist[name.upper()])\n", "ax.set_xlim((0, 1))\n", "ax.legend(handles=legend_handles, loc='center left', bbox_to_anchor=(1, 0.6))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 1 }