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November 25, 2023 21:14
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Elastic model
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "/Users/brandon/.virtualenvs/espei/lib/python3.5/site-packages/xarray/core/formatting.py:16: FutureWarning: The pandas.tslib module is deprecated and will be removed in a future version.\n", | |
| " from pandas.tslib import OutOfBoundsDatetime\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "%matplotlib inline\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "import pycalphad.plot.triangular # get the 'triangular' projection\n", | |
| "import pycalphad.io.tdb_keywords\n", | |
| "pycalphad.io.tdb_keywords.TDB_PARAM_TYPES.extend(['EM', 'BULK', 'SHEAR', 'C11', 'C12', 'C44'])\n", | |
| "from pycalphad import Database, Model, equilibrium, calculate\n", | |
| "import numpy as np\n", | |
| "import pycalphad.variables as v\n", | |
| "import sympy\n", | |
| "from tinydb import where\n", | |
| "\n", | |
| "class ElasticModel(Model):\n", | |
| " def build_phase(self, dbe):\n", | |
| " phase = dbe.phases[self.phase_name]\n", | |
| " param_search = dbe.search\n", | |
| " # EM, BULK, SHEAR, C11, C12, C44\n", | |
| " for prop in ['EM', 'BULK', 'SHEAR', 'C11', 'C12', 'C44']:\n", | |
| " prop_param_query = (\n", | |
| " (where('phase_name') == phase.name) & \\\n", | |
| " (where('parameter_type') == prop) & \\\n", | |
| " (where('constituent_array').test(self._array_validity))\n", | |
| " )\n", | |
| " prop_val = self.redlich_kister_sum(phase, param_search, prop_param_query).subs(dbe.symbols)\n", | |
| " setattr(self, prop, prop_val)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "dbf = Database('ElasticTi.tdb')\n", | |
| "mod = ElasticModel(dbf, ['TI', 'MO', 'NB', 'VA'], 'BCC_A2')\n", | |
| "symbols = dict([(sympy.Symbol(s), val) for s, val in dbf.symbols.items()])\n", | |
| "mod.C11 = mod.C11.xreplace(symbols)\n", | |
| "mod.C12 = mod.C12.xreplace(symbols)\n", | |
| "mod.C44 = mod.C44.xreplace(symbols)\n", | |
| "x1 = np.linspace(0,1, num=100)\n", | |
| "x2 = np.linspace(0,1, num=100)\n", | |
| "mesh = np.meshgrid(x1, x2)\n", | |
| "X = mesh[0]\n", | |
| "Y = mesh[1]\n", | |
| "mesh_arr = np.array(mesh)\n", | |
| "mesh_arr = np.moveaxis(mesh_arr, 0, 2)\n", | |
| "dep_col = 1 - np.sum(mesh_arr, axis=-1, keepdims=True)\n", | |
| "mesh_arr = np.concatenate((mesh_arr, dep_col), axis=-1)\n", | |
| "mesh_arr = np.concatenate((mesh_arr, np.ones(mesh_arr.shape[:-1] + (1,))), axis=-1)\n", | |
| "orig_shape = tuple(mesh_arr.shape[:-1])\n", | |
| "mesh_arr = mesh_arr.reshape(-1, mesh_arr.shape[-1])\n", | |
| "mesh_arr[np.any(mesh_arr < 0, axis=-1), :] = np.nan\n", | |
| "res_c11 = calculate(dbf, ['TI', 'MO', 'NB', 'VA'], 'BCC_A2', T=300, P=101325,\n", | |
| " model=mod, output='C11', points=mesh_arr)\n", | |
| "res_c11 = res_c11.C11.values.reshape(orig_shape)\n", | |
| "res_c12 = calculate(dbf, ['TI', 'MO', 'NB', 'VA'], 'BCC_A2', T=300, P=101325,\n", | |
| " model=mod, output='C12', points=mesh_arr)\n", | |
| "res_c12 = res_c12.C12.values.reshape(orig_shape)\n", | |
| "res_c44 = calculate(dbf, ['TI', 'MO', 'NB', 'VA'], 'BCC_A2', T=300, P=101325,\n", | |
| " model=mod, output='C44', points=mesh_arr)\n", | |
| "res_c44 = res_c44.C44.values.reshape(orig_shape)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 3, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "def compute_moduli(c11, c12, c44):\n", | |
| " \"\"\"Consume elastic stiffness constants and, under symmetry assumptions, compute\n", | |
| " bulk modulus, shear modulus, and Young's modulus.\n", | |
| "\n", | |
| " Parameters\n", | |
| " ----------\n", | |
| " c11: float64 array-like\n", | |
| " c12: float64 array-like\n", | |
| " c44: float64 array-like\n", | |
| " \n", | |
| " Returns\n", | |
| " -------\n", | |
| " B, G, Y : tuple of float64 array-likes\"\"\"\n", | |
| " # Ported from a matlab code\n", | |
| " c11 = np.array(c11)\n", | |
| " c12 = np.array(c12)\n", | |
| " c44 = np.array(c44)\n", | |
| " cij = np.zeros(c11.shape + (6,6))\n", | |
| " cij[..., 0, 0] = cij[..., 1, 1] = cij[..., 2, 2] = c11\n", | |
| " cij[..., 0, 1] = cij[..., 1, 0] = cij[..., 0, 2] = cij[..., 2, 0] = cij[..., 1, 2] = cij[..., 2, 1] = c12\n", | |
| " cij[..., 3, 3] = cij[..., 4, 4] = cij[..., 5, 5] = c44\n", | |
| " sij = np.linalg.inv(cij)\n", | |
| " A_c = (cij[..., 0, 0] + cij[..., 1, 1] + cij[..., 2, 2]) / 3.\n", | |
| " B_c = (cij[..., 0, 1] + cij[..., 0, 2] + cij[..., 1, 2]) / 3.\n", | |
| " C_c = (cij[..., 3, 3] + cij[..., 4, 4] + cij[..., 5, 5]) / 3.\n", | |
| " A_s = (sij[..., 0, 0] + sij[..., 1, 1] + sij[..., 2, 2]) / 3.\n", | |
| " B_s = (sij[..., 0, 1] + sij[..., 0, 2] + sij[..., 1, 2]) / 3.\n", | |
| " C_s = (sij[..., 3, 3] + sij[..., 4, 4] + sij[..., 5, 5]) / 3.\n", | |
| " Bv = (A_c + 2*B_c) / 3.\n", | |
| " Gv = (A_c - B_c + 3*C_c) / 5.\n", | |
| " Br = 1. / (3*A_s + 6*B_s)\n", | |
| " Gr = 5. / (4*A_s - 4*B_s + 3*C_s)\n", | |
| " Bvrh = (Br + Bv) / 2.\n", | |
| " Gvrh = (Gr + Gv) / 2.\n", | |
| " Yvrh = (9*Bvrh*Gvrh) / (Gvrh + 3*Bvrh)\n", | |
| " return Bvrh, Gvrh, Yvrh\n", | |
| "\n", | |
| "bulk_modulus, shear_modulus, young_modulus = compute_moduli(res_c11, res_c12, res_c44)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<matplotlib.text.Text at 0x107b759b0>" | |
| ] | |
| }, | |
| "execution_count": 4, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
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G4rXcO2Q0NwJmu//++7sjkch9ZlaVHQsBoNEQmgGgisLh8Hknn3zy9Llz59b0vOWOnMvV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\nejOLlPDe1WbmRvj15ihrsmQ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ohOkZeaHUsxobKTT7EE4lP+vKnR190en3tITD4TVm1lmf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rsi3vQXOCwJD02Czx4Kn9zX6+P87x3hasxGINMcjozOsUWnVhQfMI3jqsGO6XsaDKq2hYCmGZp3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\nwX3A00ADMA17wXAli1CMMbgV+zPb3CLGVU4KHgNjz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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x102529668>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "fig = plt.figure(figsize=(12,12))\n", | |
| "ax = fig.gca(projection='triangular')\n", | |
| "CS = ax.contour(X, Y, bulk_modulus, linewidths=4, levels=list(range(100, 300, 10)), cmap='cool')\n", | |
| "ax.clabel(CS, inline=1, fontsize=13, fmt='%1.0f')\n", | |
| "#PCM=ax.get_children()[0] #get the mappable, the 1st and the 2nd are the x and y axes\n", | |
| "#plt.colorbar(PCM, ax=ax)\n", | |
| "ax.set_xlabel('x(Mo)', fontsize=18)\n", | |
| "ax.set_ylabel('x(Nb)', fontsize=18, rotation=60, labelpad=-180)\n", | |
| "ax.tick_params(axis='both', which='major', labelsize=18)\n", | |
| "ax.tick_params(axis='both', which='minor', labelsize=18)\n", | |
| "ax.set_title('Bulk modulus')\n", | |
| "#fig.savefig('TiMoNb-Bulk.pdf')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<matplotlib.text.Text at 0x1081b6438>" | |
| ] | |
| }, | |
| "execution_count": 5, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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FhmYiGrZEZHI8Hj9r8eLFWTeTblfA/2qV5qMi2V5ZmAPtwBtaqLU9o9lUaP54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ZMFc/x6QuDgNMtlNnl2Y9frcyrTJ+mjU8Gbhk90Ror8zKmyZnR0di/Y3KCuGZqiJJDXozOUMw1T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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x1081206a0>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "fig = plt.figure(figsize=(12,12))\n", | |
| "ax = fig.gca(projection='triangular')\n", | |
| "CS = ax.contour(X, Y, shear_modulus, linewidths=4, levels=list(range(0, 150, 5)), cmap='cool')\n", | |
| "ax.clabel(CS, inline=1, fontsize=13, fmt='%1.0f')\n", | |
| "#PCM=ax.get_children()[0] #get the mappable, the 1st and the 2nd are the x and y axes\n", | |
| "#plt.colorbar(PCM, ax=ax)\n", | |
| "ax.set_xlabel('x(Mo)', fontsize=18)\n", | |
| "ax.set_ylabel('x(Nb)', fontsize=18, rotation=60, labelpad=-180)\n", | |
| "ax.tick_params(axis='both', which='major', labelsize=18)\n", | |
| "ax.tick_params(axis='both', which='minor', labelsize=18)\n", | |
| "ax.set_title('Shear modulus')\n", | |
| "#fig.savefig('TiMoNb-Shear.pdf')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 6, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<matplotlib.text.Text at 0x1081cb128>" | |
| ] | |
| }, | |
| "execution_count": 6, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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NRES9JBqNXj5nzpyasWPHOv7sBn3cnMNKMwBUVlZiyZIlccuyljn/NBHR4MLQTETUC0Qk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\nI2CWJoWLAAHaZNFsY3uy05xL0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MJwG68LebCJXadZbs7I1WCT0gqYc7wulF9+VBe8pRUw\n/7T+42yGupHmjqdXdpoVxDOyGaFtRNPg4a8NFMuf/oW53HjaGG0T8Yw00Szt1+fzsXLlysi55577\nc2Bh9lv2OJLxRLNHThFCDBs1atTyq666yuRbsnNs74Y3pRP0GXkUzXhp78AoRGUBzM2hC762CVoM\njlBJAKa7WMv3nsujsyFDP/MhOAlQ09LjGXYGm5SF9I8aYGSdnj9ORWQ6uuDYWVBv4+fULDnDtkdo\ny6JZ5WATk3VzDaPh+HNh9xZ9wV39KCgs0hs+Jh0Fk7McO51CSTzDwghtI8m+gYLZFzC/0NJJpxlg\nwYIFzJ07d1JxcfHp3d3dj5g7Oo8jkTzxzjyOVGrHTPz19G/fVf331hxmCyT+Jrmmk8tgVF60Rus8\nJi24OyGmdtiFWV6SjueoWijIYTTD6aq53gRsksTmOAdEc3cf7DYIRYE+2EQVbV3QaXDyCgMQVtS+\novVfxCT6RVMsArXhA5lnK6SJ5jxymtM6mk00kGhJvUGjshrGz4KRE6GgQBfMfj90tUFvz9DbMeKI\naDZpa/TJeWQTLnEKlaJ5sOfeddddVZWVlXcLIUyGYDyORDzR7JEz/IHAfH9sxPxtM0/jyaahv94N\nEho8IomwM3K4wE6mqRdeldzHk3IYzdC0dNHsZmsGuC+aN+2HuMFBqy6BKgcuqrbuB4OBTrRCr4RT\nRaZFgFYXTza3w7pNB3LHQuixjFSufdMOuPN3lg8VgBbVmWaVorlj4OdmnGbhA58//TF//2NP/B5W\nPW/ueJT0NNt0mhPS8wMmRXcyAQNalEV6xOKgz8/CaQZobGxk+fLl1eFw+KvmjtDjSMSLZ3jkBCGE\nLzxi7O/DV/8sALA4T5YAvtkMuw0OSZEPTsijCYBP7hwYRRhZAmMtTB5TxYZW2G04QRf6YI6L0fS9\nnbDd4PL5BEx1+PclRzOccJkBNst5ZsXtHHKe2c4iwJdXwz9ePuCQhor1aYDRMIyqh493wnAbF5+a\nlr4QsCKPnWYzovm5v+iVc2WVECrTpwCWlOv/X9MAXe1QbvJ3n+Y0W8k059hplif6+QvN1SGmTQQ8\niEv97W9/u+QXv/jF14QQD2iatmfwr/Q40vFEs0dOqIjWfbF80Zl1wZETAVjkcKdutvxNci2Pi0Bp\nHv2VyNGMk+qs9+qqQHaZZ9c4O7paRp4COD4MQYdvssqieaxDonmL06JZzjPbEM1tHTBnEiw9Clo7\nYG8L7G2G3U3w4ruwdZe+UNAq3T3QaxBBgYDe1mGVvt6BE/x8Pr332Sp2FgJuXAPFIV3Ytu6HXVv0\n5oqebt1t7e6CKpN3T5yIZ5hdCBi36TSnRTNM/l0n4wM/P5hLHQqF+MlPfhK++uqrbwMuNLcnjyOJ\nPJIDHkcKQoiyqhFjf1x5+Q0CYHwQonkQae6Mw7NS9OH0PIpmbGqHDw3umA9YmuMFinJrxjEu/7ze\nkTyh6S643B+65DQ73ZyRNj7bhmiuKNUX/lWV6fnl8ejucF9cr5z74S/0r7FKpuYMOxeLsstcamKC\nn0wyAV2SSA2aEKmhMhg7XR9sgtDFXiIJ8V4oKIQVN+iLAs0gt2dYqZyT2zPMit64TadZFs0Hc4oz\nkW08I8WnPvUp/0033XSyEGK6pmnvmNubx5GCl2n2cJ3aEaNviVx8bWmgTLeXF+ZJNOPpfdBjyKpG\ni2BmnhwbwBOSqzsrDNUWFteoYmcnbJJE/FwXRbOmwbsu55n3deqDTVIU+GGEA3dJEknYKonaRsVO\n8y6FHc3HTIXp4wYu9BPiQEdzwA/1Ni5o5GhGPg02kfPMxcEDeeRsGDsNior1XLPfDwVF+jZKK3T3\nuaAQgiYuOBJ9EDcIRuHTt2kWq2O0U6gWzaafL4vmIUS3EIKVK1dGotHoL0S+jKX1yDs80ezhKkKI\nMVqo/OKKsy7/52Pz80SYPioJsJNrnJ0qZ4akBk9Irm7OXWZJxE8OuztgZWsbNBtOzMV+GOvwFELZ\nZR5lsxFiMHa26mOoU5QHoULhCPfOHmg1iKKADyI2hGN5iV4nN5hYvPBkGGZDNOdzc4adwSYA0xfp\nrRmDybTTLtEzztnSI8UiioLWXHm7CwFti2bp+WZGaIN5pxlg9uzZLF26dGQoFDrP3N48jhS8eIaH\nq0TrGx6suOrWYtF/di31w7QcLmRLsasH3pJuAZ/isGtphnebYbfhJFbkg0U5ngWT62jGu1I0Y1K1\n81V3smge41A/ttN5ZjmaUVPh7ATHYTb/ltLiGXk0DTCtbs7k+5nPx0Htq+ETzG0vLZph4WIrmUwX\nvWbd6rQR2DadZjN1cwCjlsGI03TxnOzLXnTfcsstlU888cStQoiHNU3rHvoZHkcSntPs4RqFhYUn\n1k+ZPbt8znH/fGxeOQTywM19bPfAeq+JpTAij7qZH5dr3WoglMNL3tZeWCMJu2Ncdr7lRYBORzMA\nPpQy707lmWXR3KiwnxnUjs+WMTrkqpCd5qp8dppzbALYjVVA+iK+gmLzmW9ZdJsVvXZFs88PgSAU\nlkNxBAqy/L1Eo1GuueaaSE1NzfXm9uhxJOA5zR6uIIQIRKPR+8Z98/bQBsPj822e/FTxmORa5pPL\n3JuE5ySBeGKOoxmv7QZD/JsRZRBz8SIjocF7kus7zWHnPZ6AjZKYdas5o1H1IsDmgZ+rEs2JJFx3\nN5QFIVIB1ZXwqaX9bqoN8jqeIXc0mxhsYiQRh9/epjdpBEv1j+M+YX47ckezFdHca7NuDtTHM8wu\nBLTDNddcU3zPPfd8UQhxt6Zp293bs0e+4znNHq5QVVV15Wcu+Vzt5oqRAx4/Jg9E84YO2GC4pekH\nluZRN/Nr+6DdUJ9UUQBzHM7uDsWrOY5mbGyGTkNmsbQQRjicjd/cDH0GF7Uq6Ny4brk5w/FFgIoW\nMza16T3Nze3w0TZ4b6N9wQwujNBWGc+wuK3uTti9FT5+H9a/CevfsLYd2Wm21NEsbcNsnhlyvxDQ\nDoWFhdx+++3hWCx2j3t79TgU8ESzh+MIIcKhUOi6U6/6Tonxzu3wIojlsP0hxeOSyzynEqryoAIv\nxVNSNOPY2tyOze5LwpuSyzvPZWd+tfQ7m1Lt/KJNOc/slMvc0jlwkV6BH2KKLy53SU5zVJHTvE/a\nbrWCC5l4AtoNwlQA5TYjEO2S0C1VOQ3QotPcLbdwWNyOCqfZ7mATyCCazfY0W1jIp4reZpiZPNM3\nsnb8cQF/4Gj39uyR73ii2cNxYrHYLT/84Q/D7yYHnumOzgOXWdPgCUkMnZjjBXZGuuLwknR8J+Q4\nmrF6n35cKSqLYJzLw2nek0Tz1MOon3mL5AI3VKldpBdPwF7Jua1V9PvbJy3YiygQzW1tA9cblJbo\nw02somkZnGYbIjxtGqBFsSt3PRdbvIshLwRUMdjEisubNtzE5YWAdujeCe/fIfh86J6yhvCo3wth\ntcXb43DDeyF4OIoQYnJ1dfWZF198ceBV6UQ9Lw9E85p22G54cy8UcKxDjQhWeHHvwO7omiKYkuOK\nvlelfPW8Wner+RJJWCstyHNFNEv7HOvQ6+RjaT+qmzP2tA4cxV5ZAsWKXLy9kmhW4TTL0Qy747N7\ne6DP4GL6/XovslXSnGaLAjzNabYommWn2YpozrQQ0PQ2HBij7RapaYIjSiYxL3x6faS89vKDP8Pj\nSMETzR6OIYQQ0Wj0wfvvvz+yL+5jo+GN2AccZeOWqCqekBzL+WEoyaPlsU9J2eHjo7ntjta09Dyz\n29GMj5oHOt0VRdDo8GuppRt2GxxFv9A7mp0gLc98CDVnpDnNChzsZskVtr0IUI5mlNqbLii3Z1iO\nZ8hOs9V4hoLKORXxjLTKOZtjtLONZyT6oHs/dO+DnhaId4JmstFFM7y/XBT7ri9YUHKzECIPylE9\nck0eyQOPw43i4uKzFy9ePG7evHk8IrlnU0qgNMevvqQGT0m33JfmUTSjrQ9el35ux+c4mrG5HXYZ\n87Y+mOnyokk5mjGl2p7oyYaPZPe3Cgodev26PQkwqjBa40Q8o0V2mm1eILUrXAQI0OVUptlqPEPF\nQkAFotluxEPONPuzEM1tm2Hrk9C0Vs8la5peOVczGxpPhmCW7+9Jg2guK6jikjlfL7v/7f/8PnB1\n1t+Ax2GJ5zR7OIIQoqiiouKO2267rRLgDelENTcPohnvtcFeg5sR9MF8xa6eHV7cA3HDbfRhIRib\nY6/jNcllnhGBYpcvftIWAbpwobNBEs1ODTXpi8NOSXgOUz3YxKG6OXBINCt2mtMWAdr4m+rtHRj1\n8Pn1kdhWkJ3moEXxndbTrCDTbMlpttl+kRbPGOL5bZvhvXth3zvQcBxMuhwmXQb1S2DXK/DWzdCx\nI7t9G51mgE/O+oKvvLz8IiHEqKy/AY/DEk80ezhCJBL5xpe+9KVIfX09AK9LbtGcPIhmyC7z/LA+\nijlfeEbKDh9X67yjOhRpeWaXq+biSViXgzyz7DQ7JZq3twzMG0dKIaQ4y7lbbs5Q5DR3dkO3QegU\n+KFcQSVfmtOsOp6huDnD6t+oLJqtOMSQIdOswCVWkWk2Owbb7ELAHc9DYQUsuhVGnA7RoyE2H0ad\nDYtvh2AtbHksu33LcY6CggD33ntvdSwWuz/778DjcMQTzR7KEUJES0pKrvzGN74RAtjRA9uNJ1MB\n03PsmCY1eEYSzcfnUTdzax+8IWVbl7gsUGVaemGddGt/rst55g+boNtwQqssggaHX0ua5p7TnBbN\nUHznQ9PSnWZVonlfhql9Ki7y5IWA5arjGTZeP12K8syQLnZVxTOUOM150NM81HCTeNfBhXlBiZ5v\nzoakJJqFH0444QSmTZs2o7Cw8PjstuJxOOKJZg/lxGKxu2699dZIcbFuT7wunaSmlUBxjl95a9tg\nt+FNudgHx+RRNOOFPfrUuxTDQzDSxglZBW9Io8ZHl0ONjdYBK8jRjKk1zrvvu9uh3fhaCUCdQ/Gi\nrdKF0jDFr8nWroFucFFAb89QwX4HohmQIZ5hVzTnYUczZFgIqEo052ohoBzPcHiMdtVE6NwJ256G\n3jb9o69Dd433rdbjG+Wjs9u37DSL/gjaPffcEw6HwyuEEHl0T9LDTbyFgB5KCQQCc2bPnn38Jz7x\niX/KYjnPfFQe5JmflpzDvItmSNnhJdHcRzNek6IZbrvMkFk0O02maIZTDSay06w6z5y2CLBK3etq\nv+QIhxX8nff2QadBBPqEPWcYFE8DlERziY1jS4tnqKqcszJGW4HwdjueUbcI2rfAe/fpC/5Si/66\n9kD7Zhh9Lgxbmt2+NXmwSr9SGj16NBdddFH0gQce+DJwe3Zb8zic8ESzhzIMFXNhYTgTvyWdpGbn\nOM+safCsJISOy6Nu5rY+eEsSN0tyIFCNJJLwpiRY3a6a60vCesmJdWURoLTP0Q6+VtJEs2Knebfk\nBjvZnKFCNMsuc1mZ/bHcKhcCyqLZ6uI9UOM0J5OK8sgKhpu47TQDjPuMLox3vwFduwFNb86omQ0h\nE81DaU6zwVD57ne/W/qb3/zm34UQv9Q0TfqL9Tjc8USzhzJKS0svPO200xqnTZv2z8f29g7MMweE\nXjeXSz7qTB9ocoxDnbtWeHlvhmhGjjPga5uhw9iNXOj+FMANTdBrOJmFi6HOhdeSnGce7dBrpb0b\nWgwOX8AHUafHZyv8HaY5zQriGa3SNu1GMyBdNNuaBuhkPMPCtjIJZisXGX2SS2xWeCcTA2vbEObH\nYCflyrksRXewFkacNvAxLZn5awfdt9SeYRTNZWVl/OAHP6i67rrrfgJ4Q0+OMLxMs4cShBCh0tLS\nH998880DTpXvSCeViaHc55mfk0TQUZUQyqNoxnNSDGJRjl1mgNelY5pd4/6QlfekhZuTXOhnTiZh\nk+QljXLIad4mCdq6SrXjsyG9OaNG4XRJN+rm7C4CjMehy3BhIoQ9oatKNCfiA4Wq8FlrveiVRHOh\nxfq7NPFt0mnOtAjQ7N+qWac5GdcHqiR69Y7nRP/3sO7/wvZnze1brpyTBf9nP/vZgurq6mVCiInm\ntuxxqOM5zR5KqKmp+e61114bqa4eWEHxjuTq5Lo1A9JF8+I8imZ0xeF1KQ6wOA8Grsii+agcHNMa\nSTRPcaHtZHsb9BgHHRRBtYIatUzI0YwGB5x8p+IZSS3daY44EM+w29EsT+8rKbEX9+hUNQ1Qbs4I\nWrsgVJFFBqgZBUUluniO95hv4LDbnAHpTvNQTvW2p6FjKwRCerxC+KEoDLtegs4duoiuma070UNx\nsHgGgM/nY+XKlZFzzjnn58D8obfocbjgiWYP2wghho8ePfrSK6+8Mu2tMU005ziasb0bPjC4Qz5g\nYR6J5lf2Qa/hVmKsGMbmOAO+tws2GcSLD5jlsmhOZOhndkM0b5T2OSrsnLu9TRbNivPMiSTskYSt\nKqe5rQPiBqERLIKQRZfTiGqnWWWeGdRlmp2aBmjVaV50mbXnpVAhmtOc5iFE866X9SEm5aMgEDyQ\ny+7aq9fR7XkDQvXZiea0eEYGpXTMMcewYMGCCcXFxWd2d3f/deitehwOeKLZwzaxWOy+u+66K1JQ\nMPBdrTcJ66ScXq6d5hckETStHKpMZu2c5AVpsd3iPBho8rp0TOMroVzxwI2h2NSiu/ApyougwYWL\nibRFgA5m351eBLivTY+bpCgPQVDR79GJRYCQPthEed2cYtFs2Wl2qDnDqtNsl4QDonmonubR5+qx\nlvAUaDwFAv0XDC99CxpPgmEnZL/vtHjGIErpjjvuqHrxxRfvEkL8Q9O03sxf5XE44WWaDyGEED4h\nxDVCiHVCiG4hxBYhxE+FEEO+VQshJgghfiWEWCuEaBFCdPZv5xYhRJ3VYwoEAosmTJgw99RTT02T\ndu93Qp9hQVusEGpcFlsyL0rCZFEeLQDsTcIrUgRhUR5EM+TWjDk5yFivlS52JkXcuZiQFwE6lWfW\ntHSnWbVo3iPlmWsV5pnTohkOdTSrdppLbN75ksVuyKrYdaij2epUQbvELTRfyJhdCBieBLO/Ca0b\n4fXvwe7X+rfTC5h8rxgqnpGioaGBK664ojoSiVxrbg8ehyqeaD60uBW4BVgDXAn8Dvg34GEhxFC/\ny2FAHfAn4FvA1cBjwBeAN4QQpqWQEMJXXV19/3333ZdReq6WXJipOY5mdMThbckRy6doxqom6DS8\nWVcVwiSFwsYKiSSskoT8nBwI+bXSMUx2IZoRT8JmSWiOcegiq6kDugwiIVgAYcV/L3KeWeUiwCZJ\n3KpymuWR17ZFs/SeZMdpTsShx7h4T+hZZCvImWarYjdtIeCh7DSbzDRrGuCDGVfD6HNgzf3w8d+h\nt9W8aM9WNAN885vfDIVCoausnEM9Dj28eMYhghBiCrpQ/qOmaecaHt+IXrJ+AfDrwZ6vadoTwBMZ\ntvss8D/AvwA/NnNMFRUVXzj//PPrxo8fn/Hf35NOULmumnu1GeIG57sxqH/kCy9Kju78avcbKmTe\nl6rmygtgjMtCXtPS88yTXLjY2dYCfcaR3UGocmoRoCTOGxQOHUkhi2YnneYqBaI5noB2gwMrgDKb\n7yFpCwHtjNDO4A4PaV0MglNOs9VMs12UOM0mM82pv5dkHGrnQmQ6vHO7PiWwwOTrZrCJgJkIBoPc\ncsst4SuvvPIO4NPm9uRxqOE5zYcOn0E/b/xMenwF0AlcbHG7m/v/a+pmsBCiPBQKfff73//+oN5P\nvonmF6V86oI8Gpud1OBFyU1dkA/RDOmYZtaA32Uhv6MDmg3OVbEfRrog3De6mGdOWwToQnNGrZMd\nzQpEs+wyl5aA32Y1ZFqm2U7dnKJoBih0mg+TTLOmpTvNQ4nmFKn8sb8IZl0LJ/8GwlNN7t+E0wxw\n7rnn+hsaGpYKIWaa25PHoYYnmg8d5gJJ4FXjg5qmdQNv9//7kAghioUQ1UKIYUKIk4F7+//pETMH\nE41Gb7rhhhuqKioyq5fmOGwxvHH6gUkOuXTZkNDgZUmYLMijPPP6VtgnCcPZeSDq5TzzbBdiETLr\nJOE+PqK+vzgTaXlmN0WzA797uaM56qDTHFawSLNVcZ4ZoEPh2GvZaQ7aeH/LtdOsaUN/jRmsTPMz\nkowDhmMSgaGFK0BPE7R9rI/OTn1PBSW6kE4mDv7ctP0bGGrfQghWrlwZiUajvxAi10u3PZzEE82H\nDvXAXk3TejL82zagWgiRzVvTcmAPsAV4FKgELtY07blsD0QIMa6qqur85cuXD7q/NdLJaUxQF4K5\nYn07NBuci1I/TFc8bc0OL0nCcF4ECnM8cKW9Dz6QhJbbVXOQeRGgG8hOs6OiWY5nKHaa+xKwX3JZ\nqxWJ5qSWnmlWEc9olfPMCpp3VLZndCkcoS23XqjKNBdkuR0h9OEqezbAzvWw5yNo2QHdbean6YH9\neIbZaAboQnnVz+Clb8Ir34FtT+pCOSWeH78IOndlt3+zTjPAzJkxpml9AAAgAElEQVQzOfnkk0eU\nlJRckN1ePA5FvEzzoUMIyCSYAboNXzNU7c2fgXVAKTALOBsw5R/GYrEH7rvvvoj/IPdK10onlMm5\nzjNLTt7cKn1Mcb4gi+b5OXB0Zd7Zq9/aSDGiDCI5yEiul8TrBBdEczwJWyQh65RoTmqwI0OmWSX7\nWge6iVWlUKjo3b+tExJSR3PQwsIvGdXNGaBWNKscoZ0mmq06zZJoznaqYNseWPVXaNoKnc36UBOf\nH8prYexCmLDEXF5bdpoDJkVzWjQji+ev+zkUlsMxP9AbNNas0GMijafoolf4sh/lnVY5l6WB8dOf\n/rTiH//4x0+EEH/WNK1r6Gd4HGp4ovnQoRMYbHVuseFrDoqmaVuBrf2f/lkI8QfgNSFESNO0/xrs\neUKIL6A3bZRPmTKlYfHixQfdzxrpSHItml+RRPM8BzKjVtnVBRsNJ3MfMC8PRPPbcp45B8fU1gPb\npMEq412IrWxvgT7DFUNlUP9wgn3t0GsQnaVFUKb44iStOUPhXZZmeRGgov5sOZ5RYXO7fX3QaxBz\nPh8Ebfyc05xmO5lmOZ5h8bWWNv46i+0kk/D676C3E6afCZUxXaR2tcLuD3Qx3dcD007N/jjk4SZ2\nneZsxO6+d+DYu3XhXD4aysfAq98BfxCGHa875lmLZhMLAY3U1NTw9a9/PfzjH//4P9BbqjwOM/LI\na/MYgu3oEYxMHk4DenTDdLm6pmnvAG8BXxri6+4D5tfW1hY88sgjQ54e8slpbovDWukEPC8P8sIp\nXpbr1CqgIg8GrryVB6J5neQyj6jQ69icZpN0kTXSwdfLdsllrq9U35yxx8lFgA5EMyCD02wznpFp\nhLbVtgtIXwioNJ6hyGkuzMLx7+uCbe/BKV+HEbOgog5KI/oo7Sknw4lXwZrHzB1HmtNs8s5DQnJ6\ns4lnaBr/zEFrSSgfCXP+HdbcpwtqLTn4kJK0bVmIZ6S46qqriktLS5cLIYZl/yyPQwVPNB86vEa/\nCWl8UAhRDMwEXrex7SAw5M3nqqqqqy+77LKa4cOHH/Tr9vTCHsPttUIBY3JUfQTwRjMY3wNHhaBW\nwe1jVaRFM/KgNWN3J+wwiIKAgKk5WDgpV825Ec0A2CSJdbdFs2qcdJqbXHKa822Etuw022rPyKHT\nnOiDQAF0tmT+d78/PS4xFGlOs8n3WytOc0k97F+r/3/qYqhqIsy4Bt78sT5Ke6ipgv/cfxZjtAej\noKCAO++8MxKLxe4d+qs9DjU80Xzo8Fv06+irpcc/j55l/lXqASHEGCHEROMXCSFimTYqhDgemAq8\nfLCdCyEioVDo2uuvv35IP0WOZowP5TY/LOeZ8yma0RXXh5oYOSYPBq7ILvPEKgjmIMy1XhLNE90S\nzbLT7OAFgyya6xx4fcpO86Ew2CRtIaDiwSZ2pwGmtWfY2F5a5ZyqMdpZiNWCIIyYA8/cC1vehr2b\noWUXdOzXFwS+8UdonGHuOHKRaR7zKUh0pz8enQeTL4dAKPtssuw0Z/s8gJ1/gZoHTxeji6ef6PcH\nFmT/TI9DAS/TfIigadq7Qoi7gK8IIf6IXhE3CX0i4DMMHGzyBDCCgcND/0//uOwn0buZi4E56ENR\n2oCvHWz/sVjsZzfddFO4JIszzXrp5JTLqjmA1yVRkk/RjLeaBo4arwvC8BznvwFWSWJ1Rg6iGX1J\n+FASr26I5qQGm3MZz3Cgg3qv5Aaras6ADINNFDjNmpYumivsxjMUTgOE9IWAVjPN8b6BItHngwIL\nw0Ag3WnOpqe5oAimnwGv/De8/Gso7BeXPR3Q1QLDpsN8k1MAcpFpjh6kdLXheP0jW8ZdAaMu6m/f\nSEDIRNAi3gY9O+DL4dsLt7Wd+TshRKOmWekg8chHPNF8aHE1sAl9Qd4ZwF7gDuA/svij/G/gs8Al\nQA26a70Zvaf5Zk3TPh7siUKIaTNmzDjtwgsvzOp6e73kdkzMoQjc3g07DG/gBSK/quZelcTpvIj6\nPKtZNE1vzjCSizzzpuaBi/HCxVDjwgXYnnboNtyeDRVAtUOvYU2DnZILrNppTiTSc8dKFwI6kGnu\n7oG44XdQUABFNiNVsmi203YB6e6wVdHcIzdeBK29ByT6BmaBhS97h7ckDCd8GVp3QfN2feFfYRAi\nIyBk4fVot6dZzjRnm0VWRTAGZLw3OzQpl3p4aAILqs6qa+v75ec5MA/B4xDHE82HEJr2/9l79zA5\nyjL9//N298z0dM/5PJmcQwIhxBCzAYxyUBAEFEQUQUBFVkRAQSSLHEQFImcIh7BACILsui7rYV1d\nf7tf1/NX1q+yygqonENCyDmTzGSOPd31+6Omk+6nama6qt46zKTv65ormZ6pt96prnrrrrvv536M\nLHDX6Nd4vzfb5rWnMNtlO4JSSrW3tz++bt265lIz218RH1seFGKraqkyL64LNy+6EIYBv7chzWHj\njV7YXXDTq07AgoBbZ0M4UXMAG8Q5M8uHltZ57B6AgQKVsSqhv1V3d5+pnudRVw1VGospLRnNfjQ2\nqfH+Hlgam+i2Z2iyVLjOaBbqbmWy9GOWl1zq2s2vop8Zzo+9zGl2as/ICXtGqakXeex5Dd78ibmd\nSphFgdOOcTaGWxTKV+e33KB+tee7X1dKfcswjN6xtypjsqDsaS5jXKRSqQ8de+yxc5ctW1bS7+/N\nwluFsU7A3BBJ8/8IArQsQn7mDf2wtUBlqojBkghYR6Q147CmYDrwSUg/88EBFSJKa8YsH98Tmc/c\n6UNyhrRmNGtUmQeHYKCArCXiUKOB9PcKgqujsYm0U6Q9zDObFSRVQdJlsbMu0myxZjiYj4pZk0Ty\nud67N8GGPzqbi+eOgC48zYXoexPW/xBe+x68+hRsedrZ9l5QSJprEw1cevI19W1tbWPGuZYxuVAm\nzWWMCaVUVW1t7ep77723ZKr5qrgBzEpCMqSzLGfAH8RH38tCUEzHglSZlzREQwWPQj4zwEshKc2S\nNM/08UHLUgQYgJ/ZzyLAhlqIaSD9Ummu1UCadSrN0pqRTLqPr9OmNItxKkptoZ0bo8X0KGl+44/w\nl586m4ubQr5xt3eoNHtJv/AMYZQ8+9hPxxsaGj6qlJoX4CzK8Alle0YZY6K1tfXaz3/+880dHaWb\nu6JkzXi9v7h1djoOB2uKw9KBKFozsjl4XpDVJSHMa+cA7CggARUxmBPQA4+FNPupNIuHOj/i5mRy\nRovGa8CS0axpbKk06yDNMlfZi6dZlzUD/GuhXUoRIMDWl+GlX5uJHfFKk2xXJE1LRboZdrwOSYef\nTmSFVcSxPcNFIWDR9iF6omXyRiIR55FHHmk5++yzHwOODW4mZfiBMmkuwxZKqc6ZM2de8sUvftHR\nEi6V5nkhkuY/CrKwpM7MG44ChrLwJ6EyLo8AaX6lx4zBy6O+0myfHTReFsR9bgNUBKDC7x2CnQWE\nKK5guo9k3WLPCCI5w88iQF0ZzTJuzg+lOQK5ymATE+fS5mHJaC6xcHLjn+DV/4Zph5pdATODpic5\nmzFV6KE+M13DCaSn2avS7JQ0W9pgB0maZUl+DI499liWLl26uLKy8oTh4eH/Cm42ZehGmTSXYYuO\njo6/v++++5qqHJasvyYW7jBJ87OCNC+NkDXjeZEM0ZaE6SFH8wE8L9TvxSGlebws1N75AfmZZRHg\ntHp/ybpUmv3IaPYzbm6PILcNupRmMW6tx6I9I2dVmr3YM3QqzdJWobMQsBTE47DgGHjnJ+x//qu1\nVo/yRPBqz7B4mgOyZ+Qy+7dVMXM7JxnN5iBi36O2nQcffLDxqKOOekQptcAwJK0vY7KgTJrLsCCR\nSCxfvnz50aeddppjl95r4gYQVhGgYdiQ5ggVAT4jlNRlTeFHzQE8J0lzCF0Awao0zw+oQHJDgH7m\ngWHYU3C9xBW0alb1DcNfpVl6mr1mKechG5F4tWcMDkKugMxUVppd8NxCqz3DJnLODTKCNJeqNLfO\ngx3roXc71LaOksaY+aART5iqcaXDBwxLIWDA9gqL0lwC8e19GTb/BPa8AJkeUBWQbIOO90DbMRAv\n1SNuiBdG76KzZ8/m4x//eOujjz76OeCe0kYrI2ook+YyipCPmFu7dm1TqRFzeXRnoLtgsapS0BVS\nu+r1/bCnYC7pOBwUgaYhefzBhjSHjWwOXhCk8bAQLCNZA14Vim9YSrOfyRkyn7mtTn/nzP4hk5zn\nURGHeo2faEiluVETaZb2DK9Kc1Tj5sDG0xywPWPaodA6BxKj+91HUEfPxXde4FxttSjNDu8DFnuG\nU6Va+IonUpq7n4W/3APVndB5IlQ0QG4I+jfByw9Dz4swb7Sr4MQ7F/suuI1+5StfqfnWt771JaXU\nE4ZhiLtAGZMBZdJcRhFqa2s//v73v3/6YYcd5nhbqTLPSprqWRh4Vqhri+vCm4tE9xC8WkAKFLA0\nAqT5NeFnrquEmZpIkBNs6iluLlJXCW0BWVcCjZsTpLkjID+zzk80pKe53i97huZugF5Js67GJqAx\nck4qzaXaMyrGV4KdtvQ2chrsFR63d+ppfv0fYfoHYOaHrT+b8UH445eg9yVoPLyEfUvSXPDAkU6n\nueWWW5pWrlx5DzCGIaaMKKMcOVfGPiil0ul0+tbbb7/d1Qe4rwqlI8x8ZmnNODxCfuY/Sr9uLdRr\nbDbhFs8J3WNxSJYROz9zEPPI5mCTOG/8tGdIpTkI0qwzo9kwYLf0NGt4yBoaguEC0hSPQ7VL9TUP\nv5XmpEbSXGrqhYRbpRnMLoDrn4HNfzXbehdCFvVNBLu4OKfXr6W5iUN5z6m9I9MDSZuQKMOAykaT\nhMs5jQlpzxA477zzEm1tbacqpQ4tccQyIoQyaS5jH9ra2m665pprGpua3Mmer0fIz/ycIAuHR6h1\ntiTNb4+AygzwZ0GaDwtpXq+K4zMvIC/6lt7i4sz6JNR5JGvj7k+cox0+nKM7hRKs0888MASZAnJS\nmYBqDXYsS9xc2vtDk864ObCxZ3hY62RUXNCFgLs3we++Db9/Cp5+Av7334qLE79/vUmmS4XXxiZg\nQ3p9LgRsXAJbfwZ9b5jkODtsfikFW39p7r+yxPVwPKUZQCnFunXrmtvb2x9XTj2QZYSOsj2jDACU\nUrPnzZt3/iWXXOL6trdeKs0+Eo7xsHUIthcs3JUxWBCCzWAs/K8ghUsj0AUwZ1hJ86KwSLPwFR8U\n0PF5Uyi/M3wm69sEaW73QWneKZVmjYWGFmuGhlbXEFBGs0e7j6W5ic5CwIA9zX/4V7MA8KjzoG8n\n/OYJ0xN8+Gn7LR5O1G8dpNniafa5EHDeBfDcjfDM5VAz1yTIxgj0b4SBt+CQL0Jtqa1JZOSczTWx\nfPlyjj766Pk/+tGPTgN+UOLIZUQAZaW5DAA6OjrWPvTQQy2JhPvnKOlpnhOS0vy8uJkvrDGbY0QB\nWwfhrYLjlFCwKAKpHpv2Qk/BjSqVgFkhqPOZHKwX5HVuQKR5oyDrM3y09BgGbA1BadZpz7BYMzQR\ncktyhoYC3j6/SbMXpVmXPcOlp3nbK7D4VKhrg86FcMo1ZtvsfBfA3Mj+IsFS4LWbH+i3Z0ykNMer\n4fBbYMnN0LTMtGRUd8L0M2DFP0LnCaXv26I0j3Hvue+++xrq6+vvV0qFVC5fhhtEhEqUESYSicQx\nhx566LITTnCwMgjsHoFdhR/VKpgW0lIgrRmHRcia8axQcxfWR6N1tkzNWNgYTuHkxj0wUnDTaa6G\nxoA+sZCkebqPDzO7B2Co4HqproBaH/5OC2n2WWnWAak012ggzdJO4aWxCeglzbrSMywdAUscJxbf\nr8zmcpCqhxOugD//BDY8a5JgJw1XtNgzvDY3EekZpZLuhsNgzrlw8KUw/zMw/f1Q5fATN7vmJnbo\n7Ozk0ksvbW5ubr7a2R7KCBNl0nyAQykVb2lpWffwww970vPWi4V/ZjK87nuSNC+OEGmWfuYoWDMA\nXhBk/tCQ5vVKSH5msFGafdy3nTVDt7vRMKxtrrWSZhk3F2Gl2W97hltPcy5n40V2KTa4tWc0TINN\nfzbPl1jM/Le+HY77LPz3N2Gov3TVGrw3NoHgPc0jA8X5yiN7YeczsO1XMLjD2b7Ham5ih5UrV6bS\n6fRlSql2h3spIySUSfMBjvr6+ovPOeec9oMOOsjTOK+LBXt2SH7mgSy8Jm66i0JoA20Hw7D6mQ+P\nCGn+i5jXoRHxM88L6PgMj8A2QQK7fLRnyOSMdh8e7HoGIFOguFVXQkrjpz8yo7leUw66jJvToTTr\nJM25nEYfsrRUVLroQDfWWCW+10ecA03T9z+05f/tOBjecT6kGpwRX6+NTcBKeuNOPc1SaZ7gmP7l\nDhjcbP5/eDf88Rp47qtmdvNvL4Cd/+Ng3yUqzQDJZJJ77rmnuaOjY03peygjTJRJ8wEMpVRDKpW6\n4cYbb/RMK98UC/bMkEjzy3uhcL2cnoSGCMS5geln3l5wnCpjcEgEovC6h2BLAamIK1gQks/akpwR\nEGl+q7c4Kao1DUkfy6Sln7nNhwc7qTI3ad6HVJp1ZTRLpdkP0uyp7bVY66qq3BNdi6XCg83Drae5\noRPaxtBMZi6Fj97l7FOQrCS8OjzNPivNu1+A7Oh78epjZifAd30bjv0+zD4H3vg2DHePP8Y+iMi5\niY7dGWecEZsxY8a7E4nEshL3UEaIKJPmAxjt7e133HTTTY21td7vdpvEgj09JD/zn8WNfGFEVGaA\nPwkVdWGdSZzDhlSZ59ZBVQg+60wWNgoyGZQ9Q+Yz+6kyg5U0+6E0W0iz5gSZHkFutbXQFgS3RkNj\nG4vS7IGcSmuG24g4sCHNHtZNt0qzbliSLzQozY7TMxwqzYr9bbJ3Pw+zzoZEjTnO7I/B4BbIDow7\nxP59O1CaYV8EXVNLS0s5gm4SIAK37DLCgFLq4KampjMuuOACLTqsVJrDIs1/EUTh0CiRZkFO3xYR\na8ZfI2LN2NADIwUqTUs11AV0HgVNmi2e5iBIs+ZrwS97hky68Ko0ZzLmVx5KubdTgObkDJfZynYY\nsbF6OMVrv4V/vhK+8yX41xvg2X9zPoalm5+LT2y8epolaZZZyZb9ZWF4dA3IDkBCnHMjA9hGx9nv\nXOy7hO0WL17MKaecMqOmpubcEvdSRkgok+YDFB0dHd949NFHm2Mx76eAYUSXNC+MUD7zc0JpXhyB\nqDmw5jMvDInMSz/z3ACPjyTN030kzTkDtonz1BfSLEitTqV5OGM2N8kjFtOjCBuGjT3D47gyOSOV\n8lZ0qTU5Q5PSnB0xvdZ5xGLO1Vkwi/76d0PvNuh+0/y/U8gOglrSM5xGzjkkzRU18KevwH9/EoZ3\nwdDO/dtlB00VumTiLjsClniLveOOO+prampuU0ppuJLK8Atl0nwAIplMnnrEEUccsmLFCi3j7clC\nX8EiVaWgJQQfcXcGNhfcyOMKDooIad45BJsKbrZxZcbNhY3hLLwiVM+wSPPrIRUBgrWxiZ9K8+6+\n4gK9dCXUBBE3p5GY7xHEti4NMQ0fLA8PF3cZTMRNz7AX+N7YJALdAKU1I1Hl7sFAqtUJF8feojTr\nsGf4HDl38OfgkMvhoItg0bVQ1bg/TaPnJWg7GuIlfuJhyWku8X1obm5m5cqVza2trV8tbYsywkCZ\nNB9gUEpV1NfXP/jAAw9ooyTSzzzN5YLtFS8JZW1eCqoicoa/IAjh/FqojkA+86s9xbnIrdXQHFIR\npyTNcwJSmoezsFUmZ/gYU7hVkNk2n/bVLSPhND5A9vhkzbD4mXW00BYkVzdp9mL1kKTZrQ/ZYs1w\nO45QiRMuCK9Mz9DiaXa4VloKASfYvmkZtL4TWldA+7GQKkgTaXybmdmcKPWBRirNDs7fz33uc1W1\ntbUXKKVmlr5VGUEiIpSijKDQ1NR01ac//enmGTNmaBvzLbFgd4VkzXhR3MgPiZCf+QWhZEbFmvGS\nIKqHhDSvrAFvCMV7bkBK/Jae4ozWljQkffykZHtApNlPT3OPILd1ukhzAI1NvJJmaanQqjRriq5L\nuLBEgKYW2DrSM3QrzSWQ7pEBM25upN/6M0MS4fH27bAQsGgOb1Zw5xfWNHe1T3+s9K3KCBJl0nwA\nQSnVmkqlvnDttddqusWZiCppXqD1r/QGSZoPjYA1A+BFQZoPDok0b95rKr551FVBQ0CK9yZB1qf5\n3AxHFgG2+mAhGhiCgQIClIhBrca29jI5Qxtp1ty5D6xKsxeSCzb2DC9Ks6ZCQF3JGTL5wg351tJG\n2wXpLYSlEHACe8bwbnj+Znj64/A/V8DO3xX//Jenmw1P3MDJJyVvPQIznnifmht/27HxWOJd7vZY\nhp8ok+YDCB0dHffeeeedTSmvUouAxZ7hUuXwCkmaD46In3koCy8L1W9RVEizSM4IizSvl9YMHzrk\njYW3pJ/ZZ9IsleZWH/ZnZ83Q4TnOQ5LmWk1LiiU5Q8O4FqXZI2m2NDaJQORcRijEru0ZOgivD57m\niUjvhNtPQLpffthUs5feCh0nwHM3wdZf7leYlZp4jDy8KM15a8cVTasTMxrnPKXUeP0EywgD5Tfk\nAIFSaklnZ+eJZ511lnYn7VtiwQ5Dad6dga0F5D2hYG5ElOaXekz7QR6d1dAUkhpfiD1DsFUUJwZl\niZBYL4jrrADnIZVm3+PmpD3Dj8YmPvqZwceMZj/sGZpaXuehVWmWpDlspVmHPcOHNtp+dwTc9Qws\n/CLUHwqzzoIlq+DFe/crzoYBlHrndFkIaO7I/Gdmcj7H1p3e0VTXfLGDrcsIAGXSfABAKaXa29uf\nWLduXbMf2el2hYBB42VBEuakotE4BKzWjKiozNLPPCekpiZgJc1zgiTNYt/TfN73Dqk0B0Ca/c5o\nro2wPcNCmjV7mj0VAkbdnuGmENBjXBxY1WqnSrPjnOaR4n00vg0WXQcv3Ap7/jw6Rqn3Ew+FgIW4\noOHLqjqZulEp5fNnX2U4QURoRRl+orq6+iPHH3/87KVLl2ofO2vAFqFOdIZBmoVCtSAi1gyAv8pI\nt4iQ5pcFWVwQ4rzeCElpzhnWNAs/Pc39Q9AnvMYNPqSyyhbXupXmXp8KAaU9I63Bh61badZpz9BF\ndi1RcS4tcn5kLDu1ZxiG88g4yxgOPc3VHdD7UvFrzcvMGLr//bKZ1ezWnuHWYFGTqGfleV+ub29v\nv83dCGX4gTJpnuJQSiVr6+tXr7rz7nonFcClYkemuItbfRxqQlArXxGk+aCIWDPAhjRHRDeQpPmg\nkPzMe4dhVwERiSuYFlDyyc4+yBTc5GqqoNbHh74d4jxt1uw1zmO3tE9ovh78KgSURXu+KM0eC0wt\npNnD+WJRmjVFxYUZOWcp4nNKeG38yE4/ILU0N5mA6XS9H3pftb7efhwc9Lem3zmMGNWPnfSpRGNj\n40eUUvOD33sZdiiT5imO1jnzv1593lWdp+1o55e9E/++U2wWi34YKjPAq+ImPi8ipHnHIOwoOEYV\nMZgTERX8VUmaQ1KaN0hPca15nILAZnFNdPpM1qU1o8Wnc0GS5kaN18PICPQXEEcF1GhK5rAozRpI\n86AgudqVZg8kXJvSrMFWATZ+ZBfzsdgzHM7FEjfnwt5hUXsnEHK6ToWZH7L/2bST4d3/7mTn4nsP\nZDsej7N27drmjo6OcgRdRFAmzVMYSqmukUTFZ2vO+RwAaR/ebVkE2BlCcsZwDt4QalJUlGapMh9U\nExwhHA87B2FXwQ27MgYzQyLzGwR5nxmgEr9FvD+dPu97h7BNBEWaGzReD73iWqtJQVzTOW1Rmn2w\nZ3iNnNOpNEvS7Do9w6ecZldKs8ciPq9KNdjYOwJcc+Unul7zL971rnexbNmyRZWVlSd5G6kMHXBx\nOpYxWdA2d8GT6c/floxVmCto2gfbxFaxyHaEQJo39BenU7RVQW1Ezuyo+plfkYV3daa/NgzIpiZB\nkmapNHcErTT7tD/paW7QSM57fYqbMwzo09y9D/QqzUYOhsSa56kQUNoqNHmR3bS/thtHR3qGU9Lr\ntRsg2MS+ORgjsxe2/NQkuyoGiVpoP8bJzh38bol48MEHG5cvX/6QUmqBYRiZibcowy9EQPMqww8k\nEomjKjtnvDN9zKn7XvNDad4mFtn2EEjza+Ij3bk+FFa5xYuCEB4cET9zVKwZYLVnBBk3tyVoe0YA\nSvNgxvzKIxGDGo2NYvzqBpjJmNaPPBJxqPTYmVGOGYtBhYcxh4YpIkUVle5IXR4Z2UbbbXqGBoUY\n9KRneC4EzEI8OWrriDlPzsiPUQgnSvNwN7x0vxk599d74DWnxggP9oyx6o5mzpzJhRde2NrY2HiF\nw9mUoRkR0ePK0AmlVKy9vf2xjqvvrxwqqF6o8YE07xALZGsIpHl9REmzYcArgpRFhTS/JojqvJBI\ns2FYSXOQSrNMzvBdaZak2Yf9yTi4+rTeIiYZC6ejAQlYVebqau/zlpnKXsfU1fYazHNfKs2Vbm0V\nYh12HTnnRwtshyyjuhlO/8f931tU4xJg8TQ7mYOX5iTYEF8P51vhuXr99denn3zyyauUUo8ZhrHT\n/ahleEFZaZ6CqKur++Tpp5/eZcxZWPS6H/YMSZpbPCpDbiBJ8+yIkObNg9BbcANJxWGaxlbGXiBJ\n89yQyPyuQegvOIeSCWgJ6P0bycF2YTVo89nXvVPsr8UH7323j35msJJmXfYMX/zMuosAhXfYi595\nRKjW8Qr3qrXFVqGrENBNTrMkzR7vCW48wZbIOQdjePYkayTNhUilUtx2223NHR0dq/WMWIYblEnz\nFINSqiaVSq268eu31g0XXLwJoMqHyByL0hwCaZZFgFEhza/IIsBaf+LFnKJ3GLaJToBhFQFuFMdo\nRoDHaMdeM6c5j4YkJH08f/uHYKCA3FTEoc6HhyhLEaDujGZxvfnVQltLcobG7n2gubGJJpUZbCLn\nNCnWWtpohxBB6rS5SRG8dPSzgc5Pec4555x4e3v7yUqpxdSb6EgAACAASURBVPpGLcMJyqR5iqGt\nrW3Vdddd11hZ31j0etpF1uVEMIzwlebhHGwSN8ZZEVFzXxIf/c8PKHt4IkiVeUYNVIbUCdBCmoNM\nzhDvT3vA1ozmGn+yX/1MzgAbe4auuDlZBOiD0uyVNFvaXmtMznBrqQAbT7ML0mzk9MS9WcYIQUjx\nQpo92yukvUPjNa6UYt26dc3t7e2PKz/a+5YxIcqkeQpBKTWnrq7u3IsvvriqT1y4fhQB7hkpbmyS\njkN1wOTrzQEoXB/bqiAVEaf+y4KULYiIn/nViPiZwepnDpM0B+5n9ituTiZn6CbNNpFzOuBHYxM7\nT7MXWOwZGjOavRBwHekZWUE04wl3D3U6fNFeYBgeu/J5JL06Pc12WLZsGccdd9zcVCo1RrJ0GX6i\nTJqnEDo6OtY9/PDDzYlEgl6xAPrRpW97BPzM0poRFZUZ4FVByg6KiNL8ekT8zACbxDGaEeAx2irI\npd+kWfqZm33KEt8jlOB6zXYl2UJbl9IsSXNKQ+KHjJvzQnJBXwc/0JetDHo6+XltSpKHjsg4L7AU\nDipn5F9XG+yC3WvH6tWrG2pra1crpUJqJ3bgokyapwgqKyvfs3jx4sPf8573ALBXkmYf3mlJmsPw\nM28QN/CokOZdQ7C74PhUxmB6RLzW6wVRnRMSmTcMK2nuCpDAbxOk2W97hizQa/KLNPvcQtuvQkDZ\nhESHPWNQEFPPnmadpFmTDxlsOgJqyFd2G1unw+LhBU67AVq2j1Ah4FgRdB0dHVx++eXNra2t17of\nvQw3KJPmKQClVKKpqWntQw89tM/IvFcsHH4ozWH7mQE2iBvtzIgQ01cFIZudNgvuwsZIDjaKuc0K\nSWnuGYa9hQ8WcWgJ8KFHkma/kzN2BUSae8Q1oVNpzhk29gxdSrPmpAvQ270PbJRmD0Q3oykmDvR0\n8tNRBAjeOvrlMpAZgJEByA5ZCXhpgxR/69hiotuT7GB7y1zHaZRy5ZVXVqdSqUuUUp2u5lWGK0TE\n/VmGFzQ0NFx67rnnts2dO3ffa4EozWKhDkNp3ihu4DMiojS/JgjZvIhYMzb1mcQ5j6YqqA8hWxvg\nLdlYpCa45IycAdtDJs2NPpBmw4AesZ86jaS5f7BY/UpWQkLTXSQIe0bSI2mW6rBWH7KH9dOiNIdJ\nml3aM3a/Bm/8Ana9CMO9JtmuboUZ74Kud0CixPPBq71Cu9LsBA7Wv6qqKu69996miy+++O+BD3rY\naxkOUFaaJzmUUo2pVOrar371q0W3/EGxcFQH0NikJWDyZRg2SnNESfPckCLdJKQ1Y3aE/MxdAR6j\n7gHIFFwjNZWQ9vn8DcKe0T9U/FBUlTCJrS74Zc0A/ZnKoLdwDzR7mn20Z4TR/joPqTSX0lhk+/Pw\nu7uh902Y+W5YdB4s+BA0zYfnvgnPP2kq0KXAsyc5SoWAExDw0047LTZnzpyjE4nEcg97KcMBykrz\nJEdHR8ddq1ataqytLZYyB8XFVhVEN8CAleZdGegrWKCrY+F0JLRDZEmzKAKcHaICvkkco2kBziVo\na0YuB7sF4fRDaZZFgLpaXOfhVzdAsFGafSDNXpXmKJJmw7DxI7u4s+tQmo2cTQvrEpTmF78Lc06E\n+adZfzbvZPi/N0H3K9BWQjqxpRDQqdIcZiGgQ4KtlGLt2rVNxx9//ONKqcMMYywXdBm6UFaaS4RS\nKqaU+oJS6q9KqUGl1Eal1F1KqQlvS0qpBUqpG5VSv1VKbVdK9SqlnlVKXVfK9uOMu7C5ufm0j3/8\n45blbUhc+Ekf3umdYpFtDpg0y3zm6Rra7urASA42ClVxTkRIs8XPHCJp3izmEqTSLOPfWn3ed88g\nZAvjGStNFVg3ZLKF7uYpe4UanNZgocjDojRryAWw2DN0FwLqTLxw25DEpvDODdGTtgpXjU1sCHMp\na/JQL6Rara8bBlTVm0RcNk0ZC5L0Ok3v8DsyTjcWLVrEBz7wga7a2tqPhz2XAwFl0lw67gHuBv4M\nfA74F+DzwA+VmnCJ+hTwBeBV4EZgJfAicDPwtFLK8a1NKaXa29u/8eijjzbHYtbdD0ml2YcLf49Y\nZBsC/tziLXFDnKbxBu4FmwaK86ubK6EuBL+3HSRpDqsTIMAW8WDRGeBcZPtsP9pZF0KqzA0+FazK\nbn06/cxgbUCio9U1mERFJl1Ua7ieddszdHqadSnNulIvLEqzjsYmJY7Rugg2/hp6NprkODtsfikF\nm/7bTMBINpQ2llel2a822K5Qom5822231afT6Vu9iHBllIayPaMEKKUWYRLl7xmGcWbB668D9wFn\nA98aZ4jvALcYhrGn4LWHlFIvA9cBFwIPOJlTdXX1+1esWLHgqKOOsv259DT7Yc/YI1SF+pBJc1dE\nSPMbgpDNjMgylsnCZjG36SGR5pxhk5McpNIcMGmWfmY/rBlgTc6o1aw0y4QLXUrz0HCxwldZoaf9\nsu5CwCjaMyx+5hCj4twmZxx6julp/uW1UD8bko3mfHo3Qd9WePvF0DB3wmFMSE+1R9Ls+dPLAEh3\nU1MT11xzTeOqVatuAq70f48HLspKc2k4B/PUXy1eXwv0A+eNt7FhGM8IwpzHP4/+e5iTySilKmtr\na9fcf//9jWP9jsWeofnCzRnQKxbZ+oBD7KOqNL9hEzcXBWzqL65xaa2G6pAem3cMmC3Q86itNL8C\n23/ApHmXUJr9ipuT9gzdpFnGzelSmmVGsw6VGaJdCKjNnqFLaXbhRZZwm5yRSMKKa2HFddB2uGnJ\nSLfDQafC+/4eZh5X+hw8e5K9Ks0BpWdIXHLJJVW1tbXnK6Vme5hBGROgrDSXhuWYfON3hS8ahjGo\nlHp29OduMH30361ONmpubl752c9+trmrq2vM37HYMzQ/HvVmiwlYOgaJgB/BNosbWGdESPN6Qchm\nRcXPLLvvhTivzWIu0wKei4U0+5zvbVGafdqfVJoniz3D4mfWcC1ns8VZyEp58yADDEt7hpecZr+U\nZrepFxoUay8ZzQDNh5hfXuA5ck5871hp9kC6O86FppP2b5ZaWPq2u/8pwddPeLhlZe/fPgkcXfqW\nZThBmTSXhmnADsMwhmx+tglYoZSqNAxj2ObntlBKxYEvAyOMb+2Q27XNmDHjiquvvnrc26G0Z+hW\nmnukyhzCmSSV5qiQZmnPmBURpVn6mUMlzWIuQfqZDQN2CkXWd3tGAMkZAD0+RsKBf/YMS2MTP/zM\nVd4/atfa3MQvT7PbcXxQmp104+vfDnvfMu0ZVfWw/TnofhUa50PLIaWP5bmQL8TmJulF4HZp6P4B\nLHzpeA6KLz4qHksck82N/MrlUGWMgzJpLg0pwI4wAwwW/E7JpBnT6vEO4FrDMF4sdaOOjo4H7r77\n7qbqCUJMB3xOz9gdMmnO5GBnwdFWQLuGanuvyBrWVI+okOZN0s8c4rxkEWBHgHPpGSzOMq6ugJTP\n1pDQCgF99jTraEACVu+xDtKsk+DmobOLn46GJHbj6FKa3XiaLXFzJY7R/Qr87h7Tv9y0AGYcDW/9\nFoZ64Pl/gMMvgjknlKga67ZnTBaM/p1frL0n8ergn59SSnUZhnxHyvCKsqe5NPQDYy2PyYLfKQlK\nqZuAy4BHDMO4pcRtLlJKvbBnz54P7dy5c8L3TZLmlOZ3WiZnBE2atw0Vr21NlVAZgbN522Bx04z6\niugkZ7wliGpXiKR5q5hLe4BzCdrPDLBHkNkGn5rwSM+x34WAurzHMjnDa8EemMWFhfDaQjubLbYf\nqJi3YkVtXmQNUXFgVZpdpWdI0lzimvz8P8AhH4b3rjYTNIZ74eivwQn3wLLLYMPPYbC7tLG8dvSz\nCNURuK84wYyqeZxQe2ZbY33TZ8Oey1TEJDsdQsNbQItSym7Z7cK0bpSkMiulvgpcD3wDuNjBHNa2\nt7dnn3766fhnPvOZCX9ZkmbdHQHDJs1bxU22IwIqM8Cb4tFpus9e2VJhGPCmJM0h2jO2iuMUaHKG\ntGYE8B7JpiP1PuzTMKxKs9+kuUYTaR6QpFmH0qzRfww2KnOFN7uHLqVZR1Qc6EnPkLpmqZaKvZtN\nhbl2tMpn2pGjc8rCrONgcDdkx/qsV85BdyGfV3tGQMp1Ibn/25rrVSqZ+opSqsSgvjJKRZk0l4bf\nYx6rIwpfVEolgcOBZ0oZZJQwfwV4AvhbJ9170un02SeeeOLMww8/vKTflx0Bpxpp3iIW0ChYMyC6\npLl7CAYK3rPqODSFdMwMm7i59gCP007x8NDss9KcGYG+AgIXU1Drg/9+aMSMFcwjEYcqjZ9y5Ayz\nTXchtNkzfFCaddszdLa9Bv9Is9txLM1N3CjNGrrpJRsgMfqwl+er2SEHY4WdnhFWrnPB35mO13L9\nJV9raG9vvyOk2UxZlElzafhnzEvpCvH6pzG9zP+Yf0EpNU8pZan/VUrdgEmYnwQ+ZRiWCPYxoZSq\nrqmpufOuu+6qL3WbYXHhV2q+kC0ZzQHHzUmlOSqkWXYCjApptlOZw+qe2DMEgwXnTzIOdQG+f0Hb\nM6Q1o67aJM66YWfN0PkeDwwVq3jJSj1ZymDjaY6gPUNGxFV4fCDRRpo1kF27cbTkNJd4ftR0wsjo\nOXDcrfu7A6q4adVIVEOsxIcUr42kLfaOgNfJZ46ALf9o/7M3H4QNd46xoZjneR/4ZKK5ufkMpdTB\nWid4gKNcCFgCDMN4Tim1BrhMKfU94MfAQsyOgL+kOP3ip8AsCk5hpdSlwNeADcB/AR9TxVfiVsMw\nfjLW/ltbW79y1VVXNbW22vQZHQMj4sKP6ybNYoGtC9meERXSbGntHRHSHCk/s1Dj29LB3phkckaT\nz++RJM31PvmZpTVDl3UiD7+KAMEnpVmzPWNY2jO8Ks26vMgayC74Y88olTQf8hGoHLVoVYq1acef\noesdUFHqdRq20jzReBMgVglbvgHxamj9UPHPWk6BV64yib1cM+XfqYixdu3a5jPPPPMbwArH8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zFtZfahLjpo/sJ8iV02CkG4wRK2lWo9fH31XfHX+x5rlvKaW6DMNw05B4yqNMmgNGIpH4m7e/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\n8IvmkYj211z0F3V4hk1PdhSe5mxmdhxtLgfFkOcHM41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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x10853e748>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "fig = plt.figure(figsize=(12,12))\n", | |
| "ax = fig.gca(projection='triangular')\n", | |
| "CS = ax.contour(X, Y, young_modulus, linewidths=4, levels=list(range(0, 350, 10)), cmap='cool')\n", | |
| "ax.clabel(CS, inline=1, fontsize=13, fmt='%1.0f')\n", | |
| "#PCM=ax.get_children()[0] #get the mappable, the 1st and the 2nd are the x and y axes\n", | |
| "#plt.colorbar(PCM, ax=ax)\n", | |
| "ax.set_xlabel('x(Mo)', fontsize=18)\n", | |
| "ax.set_ylabel('x(Nb)', fontsize=18, rotation=60, labelpad=-180)\n", | |
| "ax.tick_params(axis='both', which='major', labelsize=18)\n", | |
| "ax.tick_params(axis='both', which='minor', labelsize=18)\n", | |
| "ax.set_title('Young\\'s modulus')\n", | |
| "#fig.savefig('TiMoNb-Young.pdf')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 7, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "ti_db = Database('Ti-working database_v2_3_23_2017.tdb')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 8, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "/Users/brandon/.virtualenvs/espei/lib/python3.5/site-packages/dask/async.py:13: UserWarning: `dask.async.get_sync` has been moved to `dask.local.get_sync`, please update your imports\n", | |
| " warnings.warn(_msg.format('get_sync'))\n", | |
| "/Users/brandon/Projects/pycalphad-dev/pycalphad/core/utils.py:146: RuntimeWarning: divide by zero encountered in log\n", | |
| " pts = -np.log(pts)\n", | |
| "/Users/brandon/Projects/pycalphad-dev/pycalphad/core/utils.py:150: RuntimeWarning: invalid value encountered in true_divide\n", | |
| " pts[:, cur_idx:end_idx] /= pts[:, cur_idx:end_idx].sum(axis=1)[:, None]\n" | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Failed to converge: OrderedDict([('P', array(101325.0)), ('T', array(300.0)), ('X_MO', array(0.36363636363636365)), ('X_NB', array(0.6262626262626263))])\n", | |
| "Failed to converge: OrderedDict([('P', array(101325.0)), ('T', array(300.0)), ('X_MO', array(0.23232323232323235)), ('X_NB', array(0.010101010101010102))])\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "import xarray as xr\n", | |
| "comps = ['TI', 'MO', 'NB', 'VA']\n", | |
| "phases = dbf.phases.keys()\n", | |
| "x1 = np.linspace(0,1, num=100)\n", | |
| "x2 = np.linspace(0,1, num=100)\n", | |
| "eq_result = equilibrium(dbf, comps, phases, {'T':300, 'P':101325, v.X('MO'):x1, v.X('NB'):x2})\n", | |
| "calc_res_c11 = calculate(dbf, comps, 'BCC_A2', T=300, P=101325, model=mod, output='C11', points=mesh_arr)\n", | |
| "calc_res_c12 = calculate(dbf, comps, 'BCC_A2', T=300, P=101325, model=mod, output='C12', points=mesh_arr)\n", | |
| "calc_res_c44 = calculate(dbf, comps, 'BCC_A2', T=300, P=101325, model=mod, output='C44', points=mesh_arr)\n", | |
| "# merge the calculate results into one nice array and calculate the modulii\n", | |
| "calc_res = xr.merge([calc_res_c11, calc_res_c12, calc_res_c44])\n", | |
| "c_shape = calc_res.C11.shape\n", | |
| "# note that I don't recalculate the modulii, so if you change them you have to reshape calc_res_c11.C11.values to (x1,x2)\n", | |
| "calc_res['young_modulus'] = (['P', 'T', 'points'], young_modulus.reshape(c_shape))\n", | |
| "calc_res['bulk_modulus'] = (['P', 'T', 'points'], bulk_modulus.reshape(c_shape))\n", | |
| "calc_res['shear_modulus'] = (['P', 'T', 'points'], shear_modulus.reshape(c_shape))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 9, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "/Users/brandon/.virtualenvs/espei/lib/python3.5/site-packages/xarray/core/variable.py:1143: RuntimeWarning: invalid value encountered in greater\n", | |
| " if not reflexive\n", | |
| "/Users/brandon/.virtualenvs/espei/lib/python3.5/site-packages/xarray/core/variable.py:1143: RuntimeWarning: invalid value encountered in less\n", | |
| " if not reflexive\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "def replace_values(array, orig_value, new_value):\n", | |
| " \"\"\"Exchange the orig_value in the input array to the new_value. \n", | |
| " \n", | |
| " For example: useful for changing 0.0 to 1e-9\n", | |
| " \"\"\"\n", | |
| " idx = np.nonzero(array == orig_value)\n", | |
| " array[idx] = new_value\n", | |
| "\n", | |
| "# range of modulii of interest\n", | |
| "min_modulus = 10\n", | |
| "max_modulus = 50\n", | |
| "\n", | |
| "# initialize plotting arrays\n", | |
| "youngs_modulii = []\n", | |
| "x_nb = []\n", | |
| "x_mo = [] \n", | |
| "# get the DataArray for the modulii in the right range\n", | |
| "calc_res_target_modulii = calc_res.where(calc_res.young_modulus > min_modulus).where(calc_res.young_modulus < max_modulus).isel(T=0, P=0)\n", | |
| "# get the indices where the modulus is in the desired range\n", | |
| "non_zero_idx = np.nonzero(calc_res_target_modulii.young_modulus.notnull().values)[0]\n", | |
| "# get the values of the compositions at these points\n", | |
| "comp_mo = calc_res_target_modulii.X.sel(component='MO').isel(points=non_zero_idx).values\n", | |
| "comp_ti = calc_res_target_modulii.X.sel(component='TI').isel(points=non_zero_idx).values\n", | |
| "comp_nb = calc_res_target_modulii.X.sel(component='NB').isel(points=non_zero_idx).values\n", | |
| "modulii = calc_res_target_modulii.young_modulus.isel(points=non_zero_idx).values\n", | |
| "# replace the 0.0 with 1e-9, as in the equilibrium array\n", | |
| "for comp_set in [comp_mo, comp_ti, comp_nb]:\n", | |
| " replace_values(comp_set, 0.0, 1e-9)\n", | |
| "# select the phases that match the composition sets given\n", | |
| "for idx in range(len(non_zero_idx)):\n", | |
| " mo = comp_mo[idx]\n", | |
| " nb = comp_nb[idx]\n", | |
| " # filter out the not BCC phase by adding the compositions and values to lists when a match is found\n", | |
| " phases = eq_result.Phase.sel(X_MO=mo, X_NB=nb, P=101325, T=300).values\n", | |
| " if np.sum(np.all([phases != '', phases == 'BCC_A2'], axis=0)) == 1:\n", | |
| " youngs_modulii.append(calc_res_target_modulii.young_modulus)\n", | |
| " x_nb.append(nb)\n", | |
| " x_mo.append(mo)\n", | |
| " youngs_modulii.append(modulii[idx])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 22, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "/Users/brandon/.virtualenvs/espei/lib/python3.5/site-packages/matplotlib/collections.py:877: RuntimeWarning: invalid value encountered in sqrt\n", | |
| " scale = np.sqrt(self._sizes) * dpi / 72.0 * self._factor\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<matplotlib.text.Text at 0x10aa3f5f8>" | |
| ] | |
| }, | |
| "execution_count": 22, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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gwKpVq1b1d859EnQeAOmNSTOAtuoqad32hTluuaRofKlFi5xzGyUdLWmDpF9L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\nHqxxQCAAAAAASUVORK5CYII=\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x10aa266d8>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "fig = plt.figure(figsize=(12,12))\n", | |
| "ax = fig.gca(projection='triangular')\n", | |
| "CS = ax.scatter(x_mo, x_nb, young_modulus)\n", | |
| "ax.set_xlabel('x(Mo)', fontsize=18)\n", | |
| "ax.set_ylabel('x(Nb)', fontsize=18, rotation=60, labelpad=-180)\n", | |
| "ax.tick_params(axis='both', which='major', labelsize=18)\n", | |
| "ax.tick_params(axis='both', which='minor', labelsize=18)\n", | |
| "ax.set_title('Young\\'s modulus')\n", | |
| "#fig.savefig('TiMoNb-Young.pdf')\n" | |
| ] | |
| }, | |
| { | |
| "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 | |
| } |
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| $ Database file written 2016- 2-10 | |
| $ From database: PURE5 | |
| ELEMENT /- ELECTRON_GAS 0.0000E+00 0.0000E+00 0.0000E+00! | |
| ELEMENT VA VACUUM 0.0000E+00 0.0000E+00 0.0000E+00! | |
| ELEMENT TI BCC_A2 ! | |
| ELEMENT MO BCT_A5 ! | |
| ELEMENT NB BCC_A2 ! | |
| ELEMENT SN BCT_A5 ! | |
| ELEMENT TA BCC_A2 ! | |
| ELEMENT ZR BCT_A5 ! | |
| FUNCTION C11BCCTI 298.15 +93; 6000 N ! | |
| FUNCTION C12BCCTI 298.15 +115; 6000 N ! | |
| FUNCTION C44BCCTI 298.15 +41; 6000 N ! | |
| FUNCTION C11BCCMO 298.15 +475; 6000 N ! | |
| FUNCTION C12BCCMO 298.15 +164; 6000 N ! | |
| FUNCTION C44BCCMO 298.15 +108; 6000 N ! | |
| FUNCTION C11BCCNB 298.15 +245; 6000 N ! | |
| FUNCTION C12BCCNB 298.15 +144; 6000 N ! | |
| FUNCTION C44BCCNB 298.15 +27; 6000 N ! | |
| FUNCTION C11BCCSN 298.15 +50; 6000 N ! | |
| FUNCTION C12BCCSN 298.15 +52; 6000 N ! | |
| FUNCTION C44BCCSN 298.15 +29; 6000 N ! | |
| FUNCTION C11BCCTA 298.15 +278; 6000 N ! | |
| FUNCTION C12BCCTA 298.15 +164; 6000 N ! | |
| FUNCTION C44BCCTA 298.15 +81; 6000 N ! | |
| FUNCTION C11BCCZR 298.15 +86; 6000 N ! | |
| FUNCTION C12BCCZR 298.15 +91; 6000 N ! | |
| FUNCTION C44BCCZR 298.15 +32; 6000 N ! | |
| FUNCTION UN_ASS 298.15 +0; 300 N ! | |
| TYPE_DEFINITION % SEQ *! | |
| DEFINE_SYSTEM_DEFAULT ELEMENT 6 ! | |
| DEFAULT_COMMAND DEF_SYS_ELEMENT VA /- ! | |
| TYPE_DEFINITION & GES A_P_D BCC_A2 MAGNETIC -1.0 4.00000E-01 ! | |
| PHASE BCC_A2 %& 2 1 3 ! | |
| CONSTITUENT BCC_A2 :TI,MO,NB,SN,TA,ZR : VA : ! | |
| PARAMETER C11(BCC_A2,TI:VA;0) 298.15 +C11BCCTI#; 6000 N ! | |
| PARAMETER C11(BCC_A2,MO:VA;0) 298.15 +C11BCCMO#; 6000 N ! | |
| PARAMETER C11(BCC_A2,NB:VA;0) 298.15 +C11BCCNB#; 6000 N ! | |
| PARAMETER C11(BCC_A2,SN:VA;0) 298.15 +C11BCCSN#; 6000 N ! | |
| PARAMETER C11(BCC_A2,TA:VA;0) 298.15 +C11BCCTA#; 6000 N ! | |
| PARAMETER C11(BCC_A2,ZR:VA;0) 298.15 +C11BCCZR#; 6000 N ! | |
| PARAMETER C11(BCC_A2,TI,MO:VA;0) 298.15 -22.16; 6000 N ! | |
| PARAMETER C11(BCC_A2,TI,NB:VA;0) 298.15 +40.46; 6000 N ! | |
| PARAMETER C11(BCC_A2,TI,SN:VA;0) 298.15 +119.46; 6000 N ! | |
| PARAMETER C11(BCC_A2,TI,TA:VA;0) 298.15 +83.65; 6000 N ! | |
| PARAMETER C11(BCC_A2,TI,TA:VA;1) 298.15 -67.76; 6000 N ! | |
| PARAMETER C11(BCC_A2,TI,ZR:VA;0) 298.15 +246.97; 6000 N ! | |
| PARAMETER C11(BCC_A2,TI,ZR:VA;1) 298.15 -135.95; 6000 N ! | |
| PARAMETER C11(BCC_A2,TI,MO,NB:VA;0) 298.15 -29.97; 6000 N ! | |
| PARAMETER C11(BCC_A2,TI,MO,SN:VA;0) 298.15 -83.85; 6000 N ! | |
| PARAMETER C11(BCC_A2,TI,MO,TA:VA;0) 298.15 -106.53; 6000 N ! | |
| PARAMETER C11(BCC_A2,TI,MO,ZR:VA;0) 298.15 -245.27; 6000 N ! | |
| PARAMETER C11(BCC_A2,TI,NB,SN:VA;0) 298.15 -41.52; 6000 N ! | |
| PARAMETER C11(BCC_A2,TI,NB,TA:VA;0) 298.15 -93.77; 6000 N ! | |
| PARAMETER C11(BCC_A2,TI,NB,ZR:VA;0) 298.15 -220.35; 6000 N ! | |
| PARAMETER C11(BCC_A2,TI,SN,TA:VA;0) 298.15 -95.39; 6000 N ! | |
| PARAMETER C11(BCC_A2,TI,SN,ZR:VA;0) 298.15 -155.34; 6000 N ! | |
| PARAMETER C11(BCC_A2,TI,TA,ZR:VA;0) 298.15 -149.67; 6000 N ! | |
| PARAMETER C12(BCC_A2,TI:VA;0) 298.15 +C12BCCTI#; 6000 N ! | |
| PARAMETER C12(BCC_A2,MO:VA;0) 298.15 +C12BCCMO#; 6000 N ! | |
| PARAMETER C12(BCC_A2,NB:VA;0) 298.15 +C12BCCNB#; 6000 N ! | |
| PARAMETER C12(BCC_A2,SN:VA;0) 298.15 +C12BCCSN#; 6000 N ! | |
| PARAMETER C12(BCC_A2,TA:VA;0) 298.15 +C12BCCTA#; 6000 N ! | |
| PARAMETER C12(BCC_A2,ZR:VA;0) 298.15 +C12BCCZR#; 6000 N ! | |
| PARAMETER C12(BCC_A2,TI,MO:VA;0) 298.15 -36.40; 6000 N ! | |
| PARAMETER C12(BCC_A2,TI,NB:VA;0) 298.15 -32.39; 6000 N ! | |
| PARAMETER C12(BCC_A2,TI,SN:VA;0) 298.15 +15.90; 6000 N ! | |
| PARAMETER C12(BCC_A2,TI,SN:VA;1) 298.15 -146.80; 6000 N ! | |
| PARAMETER C12(BCC_A2,TI,TA:VA;0) 298.15 +38.05; 6000 N ! | |
| PARAMETER C12(BCC_A2,TI,ZR:VA;0) 298.15 -110.53; 6000 N ! | |
| PARAMETER C12(BCC_A2,TI,ZR:VA;1) 298.15 +78.00; 6000 N ! | |
| PARAMETER C12(BCC_A2,TI,MO,NB:VA;0) 298.15 +13.97; 6000 N ! | |
| PARAMETER C12(BCC_A2,TI,MO,SN:VA;0) 298.15 +31.80; 6000 N ! | |
| PARAMETER C12(BCC_A2,TI,MO,TA:VA;0) 298.15 -12.35; 6000 N ! | |
| PARAMETER C12(BCC_A2,TI,MO,ZR:VA;0) 298.15 +50.43; 6000 N ! | |
| PARAMETER C12(BCC_A2,TI,NB,SN:VA;0) 298.15 +25.52; 6000 N ! | |
| PARAMETER C12(BCC_A2,TI,NB,TA:VA;0) 298.15 -15.80; 6000 N ! | |
| PARAMETER C12(BCC_A2,TI,NB,ZR:VA;0) 298.15 +72.10; 6000 N ! | |
| PARAMETER C12(BCC_A2,TI,SN,TA:VA;0) 298.15 -10.94; 6000 N ! | |
| PARAMETER C12(BCC_A2,TI,SN,ZR:VA;0) 298.15 +68.86; 6000 N ! | |
| PARAMETER C12(BCC_A2,TI,TA,ZR:VA;0) 298.15 -8.91; 6000 N ! | |
| PARAMETER C44(BCC_A2,TI:VA;0) 298.15 +C44BCCTI#; 6000 N ! | |
| PARAMETER C44(BCC_A2,MO:VA;0) 298.15 +C44BCCMO#; 6000 N ! | |
| PARAMETER C44(BCC_A2,NB:VA;0) 298.15 +C44BCCNB#; 6000 N ! | |
| PARAMETER C44(BCC_A2,SN:VA;0) 298.15 +C44BCCSN#; 6000 N ! | |
| PARAMETER C44(BCC_A2,TA:VA;0) 298.15 +C44BCCTA#; 6000 N ! | |
| PARAMETER C44(BCC_A2,ZR:VA;0) 298.15 +C44BCCZR#; 6000 N ! | |
| PARAMETER C44(BCC_A2,TI,MO:VA;0) 298.15 -142.90; 6000 N ! | |
| PARAMETER C44(BCC_A2,TI,NB:VA;0) 298.15 -41.54; 6000 N ! | |
| PARAMETER C44(BCC_A2,TI,NB:VA;1) 298.15 -41.95; 6000 N ! | |
| PARAMETER C44(BCC_A2,TI,SN:VA;0) 298.15 +59.75; 6000 N ! | |
| PARAMETER C44(BCC_A2,TI,SN:VA;1) 298.15 -94.38; 6000 N ! | |
| PARAMETER C44(BCC_A2,TI,TA:VA;0) 298.15 -51.96; 6000 N ! | |
| PARAMETER C44(BCC_A2,TI,ZR:VA;0) 298.15 +70.06; 6000 N ! | |
| PARAMETER C44(BCC_A2,TI,MO,NB:VA;0) 298.15 +9.72; 6000 N ! | |
| PARAMETER C44(BCC_A2,TI,MO,SN:VA;0) 298.15 +74.73; 6000 N ! | |
| PARAMETER C44(BCC_A2,TI,MO,TA:VA;0) 298.15 +5.27; 6000 N ! | |
| PARAMETER C44(BCC_A2,TI,MO,ZR:VA;0) 298.15 -44.96; 6000 N ! | |
| PARAMETER C44(BCC_A2,TI,NB,SN:VA;0) 298.15 +67.85; 6000 N ! | |
| PARAMETER C44(BCC_A2,TI,NB,TA:VA;0) 298.15 +4.25; 6000 N ! | |
| PARAMETER C44(BCC_A2,TI,NB,ZR:VA;0) 298.15 -55.29; 6000 N ! | |
| PARAMETER C44(BCC_A2,TI,SN,TA:VA;0) 298.15 +67.85; 6000 N ! | |
| PARAMETER C44(BCC_A2,TI,SN,ZR:VA;0) 298.15 +3.85; 6000 N ! | |
| PARAMETER C44(BCC_A2,TI,TA,ZR:VA;0) 298.15 -23.70; 6000 N ! | |
| LIST_OF_REFERENCES | |
| NUMBER SOURCE | |
| ! | |
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| $************************************************************* | |
| $ The definition of the pure elements, vacancy and species | |
| $------------------------------------------------------------- | |
| $ TEMPERATURE_LIMIT 0 6000.00 ! | |
| ELEMENT /- ELECTRON_GAS 0.0000E+00 0.0000E+00 0.0000E+00! | |
| ELEMENT MO BCC_A2 95.94 4589.0 28.56 ! | |
| ELEMENT NB BCC_A2 92.9064 5220.0 36.27 ! | |
| ELEMENT TA BCC_A2 180.9479 5681.872 41.4718 ! | |
| ELEMENT TI HCP_A3 4.7880E+01 4.8100E+03 3.0648E+01! | |
| ELEMENT SN BCT_A5 1.1871E+02 6.3220E+03 5.1195E+01! | |
| ELEMENT ZR HCP_A3 9.1224E+01 5.5663E+03 3.9181E+01! | |
| ELEMENT VA VACUUM 0.0 0.0 0.0 ! | |
| $************************************************************* | |
| $ The Gibbs energies of the elements | |
| $ in the stable and metastable forms from SGTE | |
| $--------------------------------------------------------------- | |
| $--------------------------------------------------------------- | |
| $ * TI * | |
| $--------------------------------------------------------------- | |
| $--------------------------------------------------------------- | |
| FUNCTION GBCCTI 2.98150E+02 -1272.064+134.71418*T-25.5768*T*LN(T) | |
| -6.63845E-04*T**2-2.78803E-07*T**3+7208*T**(-1); 1.15500E+03 Y | |
| +6667.385+105.366379*T-22.3771*T*LN(T)+.00121707*T**2-8.4534E-07*T**3 | |
| -2002750*T**(-1); 1.94100E+03 Y | |
| +26483.26-182.426471*T+19.0900905*T*LN(T)-.02200832*T**2 | |
| +1.228863E-06*T**3+1400501*T**(-1); 4.00000E+03 N REF:20 ! | |
| FUNCTION GHSERTI 2.98150E+02 -8059.921+133.615208*T-23.9933*T*LN(T) | |
| -.004777975*T**2+1.06716E-07*T**3+72636*T**(-1); 9.00000E+02 Y | |
| -7811.815+132.988068*T-23.9887*T*LN(T)-.0042033*T**2-9.0876E-08*T**3 | |
| +42680*T**(-1); 1.15500E+03 Y | |
| +908.837+66.976538*T-14.9466*T*LN(T)-.0081465*T**2+2.02715E-07*T**3 | |
| -1477660*T**(-1); 1.94100E+03 Y | |
| -124526.786+638.806871*T-87.2182461*T*LN(T)+.008204849*T**2 | |
| -3.04747E-07*T**3+36699805*T**(-1); 4.00000E+03 N REF:20 ! | |
| FUNCTION GFCCTI 2.98150E+02 +6000-.1*T+GHSERTI#; | |
| 6.00000E+03 N REF:20 ! | |
| FUNCTION GLIQTI 2.98150E+02 +12194.415-6.980938*T+GHSERTI#; | |
| 1.30000E+03 Y | |
| +368610.36-2620.99904*T+357.005867*T*LN(T)-.155262855*T**2 | |
| +1.2254402E-05*T**3-65556856*T**(-1)+GHSERTI#; 1.94100E+03 Y | |
| +104639.72-340.070171*T+40.9282461*T*LN(T)-.008204849*T**2 | |
| +3.04747E-07*T**3-36699805*T**(-1)+GHSERTI#; 6.00000E+03 N REF:20 ! | |
| $--------------------------------------------------------------- | |
| $--------------------------------------------------------------- | |
| $ * MO * | |
| $--------------------------------------------------------------- | |
| FUNCTION GHSERMO 298.15 -7746.302+131.9197*T-23.56414*T*LN(T) | |
| -.003443396*T**2+5.662834E-07*T**3+65812.39*T**(-1) | |
| -1.309265E-10*T**4; 2896.00 Y | |
| -30556.41+283.559746*T-42.63829*T*LN(T) | |
| -4.849315E+33*T**(-9); 4000.00 N REF:20 ! | |
| FUNCTION GLIQMO 298.15 41831.347-14.694912*T+4.24519E-22*T**7 | |
| +GHSERMO; 2896.00 Y | |
| 34095.373-11.890046*T+4.849315E33*T**(-9)+GHSERMO; | |
| 4000.00 N REF:20 ! | |
| FUNCTION GFCCMO 298.15 15200+0.63*T+GHSERMO; 4000.00 N REF:20 ! | |
| FUNCTION GHCPMO 298.15 11550+GHSERMO; 4000.00 N REF:20 ! | |
| $--------------------------------------------------------------- | |
| $--------------------------------------------------------------- | |
| $ * NB * | |
| $--------------------------------------------------------------- | |
| $--------------------------------------------------------------- | |
| FUNCTION GHSERNB 2.98140E+02 -8519.353+142.045475*T | |
| -26.4711*T*LN(T)+2.03475E-04*T**2-3.5012E-07*T**3 | |
| +93399*T**(-1); 2.75000E+03 Y | |
| -37669.3+271.720843*T-41.77*T*LN(T)+1.528238E+32*T**(-9); | |
| 6.00000E+03 N REF:20 ! | |
| FUNCTION GHEXTNB 2.98150E+02 -8519.35+142.048*T | |
| -26.4711*T*LN(T)+2.03475E-04*T**2-3.50119E-07*T**3 | |
| +93398.8*T**(-1); 6.00000E+03 N REF:23 ! | |
| FUNCTION GLIQNB 298.15 29781.555-10.816417*T | |
| -3.06098E-23*T**7+GHSERNB; 2750.00 Y | |
| +30169.901-10.964695*T-1.52824E32*T**(-9)+GHSERNB; | |
| 6000.00 N REF:20 ! | |
| FUNCTION GFCCNB 298.15 +13500+1.7*T+GHSERNB; | |
| 6000.00 N REF:20 ! | |
| FUNCTION GHCPNB 298.15 +10000+2.4*T+GHSERNB; | |
| 6000.00 N REF:20 ! | |
| $--------------------------------------------------------------- | |
| $--------------------------------------------------------------- | |
| $ * SN * | |
| $--------------------------------------------------------------- | |
| FUNCTION GHSERSN 100 -7958.517+122.765451*T-25.858*T*LN(T) | |
| +5.1185E-04*T**2-3.192767E-06*T**3+18440*T**(-1); 250 Y | |
| -5855.135+65.443315*T-15.961*T*LN(T)-.0188702*T**2 | |
| +3.121167E-06*T**3-61960*T**(-1); 505.08 Y | |
| +2524.724+4.005269*T-8.2590486*T*LN(T)-.016814429*T**2 | |
| +2.623131E-06*T**3-1081244*T**(-1)-1.2307E+25*T**(-9); 800 Y | |
| -8256.959+138.99688*T-28.4512*T*LN(T)-1.2307E+25*T**(-9); | |
| 3000 N REF20 ! | |
| FUNCTION GBCCSN 100 -3558.517+116.765451*T-25.858*T*LN(T) | |
| +5.1185E-04*T**2-3.192767E-06*T**3+18440*T**(-1); 250 Y | |
| -1455.135+59.443315*T-15.961*T*LN(T)-.0188702*T**2 | |
| +3.121167E-06*T**-61960*T**(-1); 505.08 Y | |
| +6924.724-1.994731*T-8.2590486*T*LN(T)-.016814429*T**2 | |
| +2.623131E-06*T**3-1081244*T**(-1)-1.2307E+25*T**(-9); 800 Y | |
| -3856.959+132.99688*T-28.4512*T*LN(T)-1.2307E+25*T**(-9); | |
| 3000 N REF20 ! | |
| FUNCTION GA12SN 100 -5958.517+122.765451*T-25.858*T*LN(T) | |
| +5.1185E-04*T**2-3.192767E-06*T**3+18440*T**(-1); 250 Y | |
| -3855.135+65.443315*T-15.961*T*LN(T)-.0188702*T**2 | |
| +3.121167E-06*T**3-61960*T**(-1); 505.08 Y | |
| +4524.724+4.005269*T-8.2590486*T*LN(T)-.016814429*T**2 | |
| +2.623131E-06*T**3-1081244*T**(-1)-1.2307E+25*T**(-9); 800 Y | |
| -6256.959+138.99688*T-28.4512*T*LN(T)-1.2307E+25*T**(-9); | |
| 3000 N REF20 ! | |
| FUNCTION GA13SN 100 -5958.517+122.765451*T-25.858*T*LN(T) | |
| +5.1185E-04*T**2-3.192767E-06*T**3+18440*T**(-1); 250 Y | |
| -3855.135+65.443315*T-15.961*T*LN(T)-.0188702*T**2 | |
| +3.121167E-06*T**3-61960*T**(-1); 505.08 Y | |
| +4524.724+4.005269*T-8.2590486*T*LN(T)-.016814429*T**2 | |
| +2.623131E-06*T**3-1081244*T**(-1)-1.2307E+25*T**(-9); 800 Y | |
| -6256.959+138.99688*T-28.4512*T*LN(T)-1.2307E+25*T**(-9); | |
| 3000 N REF20 ! | |
| FUNCTION GDIASN 100 -9579.608+114.007785*T-22.972*T*LN(T) | |
| -.00813975*T**2+2.7288E-06*T**3+25615*T**(-1); 298.15 Y | |
| -9063.001+104.84654*T-21.5750771*T*LN(T)-.008575282*T**2 | |
| +1.784447E-06*T**3-2544*T**(-1); 800 Y | |
| -10909.351+147.396535*T-28.4512*T*LN(T); 3000 N REF20 ! | |
| FUNCTION GFCCSN 298.15 -345.135+56.983315*T-15.961*T*LN(T) | |
| -.0188702*T**2+3.121167E-06*T**3-61960*T**(-1); 505.08 Y | |
| +8034.724-4.454731*T-8.2590486*T*LN(T)-.016814429*T**2 | |
| +2.623131E-06*T**3-1081244*T**(-1)-1.2307E+25*T**(-9); 800 Y | |
| -2746.959+130.53688*T-28.4512*T*LN(T)-1.2307E+25*T**(-9); | |
| 3000 N REF20 ! | |
| FUNCTION GHCPSN 298.15 -1955.135+57.797315*T-15.961*T*LN(T) | |
| -.0188702*T**2+3.121167E-06*T**3-61960*T**(-1); 505.08 Y | |
| +6424.724-3.640731*T-8.2590486*T*LN(T)-.016814429*T**2 | |
| +2.623131E-06*T**3-1081244*T**(-1)-1.2307E+25*T**(-9); 800 Y | |
| -4356.959+131.35088*T-28.4512*T*LN(T)-1.2307E+25*T**(-9); | |
| 3000 N REF20 ! | |
| FUNCTION GHCPZN_S 298.15 -1950.135+57.797315*T-15.961*T*LN(T) | |
| -.0188702*T**2+3.121167E-06*T**3-61960*T**(-1); 505.08 Y | |
| +6429.724-3.640731*T-8.2590486*T*LN(T)-.016814429*T**2 | |
| +2.623131E-06*T**3-1081244*T**(-1)-1.2307E+25*T**(-9); 800 Y | |
| -4351.959+131.35088*T-28.4512*T*LN(T)-1.2307E+25*T**(-9); | |
| 3000 N REF20 ! | |
| FUNCTION GLIQSN 100 -855.425+108.677684*T-25.858*T*LN(T) | |
| +5.1185E-04*T**2-3.192767E-06*T**3+18440*T**(-1) | |
| +1.47031E-18*T**7; 250 Y | |
| +1247.957+51.355548*T-15.961*T*LN(T)-.0188702*T**2 | |
| +3.121167E-06*T**3-61960*T**(-1)+1.47031E-18*T**7; 505.08 Y | |
| +9496.31-9.809114*T-8.2590486*T*LN(T)-.016814429*T**2 | |
| +2.623131E-06*T**3-1081244*T**(-1); 800 Y | |
| -1285.372+125.182498*T-28.4512*T*LN(T); 3000 N REF20 ! | |
| FUNCTION GA7SN 100 -5923.517+122.765451*T-25.858*T*LN(T) | |
| +5.1185E-04*T**2-3.192767E-06*T**3+18440*T**(-1); 250 Y | |
| -3820.135+65.443315*T-15.961*T*LN(T)-.0188702*T**2 | |
| +3.121167E-06*T**3-61960*T**(-1); 505.08 Y | |
| +4559.724+4.005269*T-8.2590486*T*LN(T)-.016814429*T**2 | |
| +2.623131E-06*T**3-1081244*T**(-1)-1.2307E+25*T**(-9); 800 Y | |
| -6221.959+138.99688*T-28.4512*T*LN(T)-1.2307E+25*T**(-9); | |
| 3000 N REF20 ! | |
| FUNCTION GA6SN 298.15 -468.135+57.181195*T-15.961*T*LN(T) | |
| -.0188702*T**2+3.121167E-06*T**3-61960*T**(-1); 505.08 Y | |
| +7911.724-4.256851*T-8.2590486*T*LN(T)-.016814429*T**2 | |
| +2.623131E-06*T**3-1081244*T**(-1)-1.2307E+25*T**(-9); 800 Y | |
| -2869.959+130.73476*T-28.4512*T*LN(T)-1.2307E+25*T**(-9); | |
| 3000 N REF20 ! | |
| $--------------------------------------------------------------- | |
| $--------------------------------------------------------------- | |
| $ * TA * | |
| $--------------------------------------------------------------- | |
| FUNCTION GHSERTA 2.98150E+02 -7285.889+119.139858*T | |
| -23.7592624*T*LN(T)-.002623033*T**2+1.70109E-07*T**3 | |
| -3293*T**(-1); 1.30000E+03 Y | |
| -22389.955+243.88676*T-41.137088*T*LN(T)+.006167572*T**2 | |
| -6.55136E-07*T**3+2429586*T**(-1); 2.50000E+03 Y | |
| +229382.886-722.59722*T+78.5244752*T*LN(T)-.017983376*T**2 | |
| +1.95033E-07*T**3-93813648*T**(-1); 3.25800E+03 Y | |
| -963392.734+2773.7774*T-337.227976*T*LN(T)+.039791303*T**2 | |
| -9.74251E-07*T**3+5.09949511E+08*T**(-1); | |
| 6.00000E+03 N REF:20 ! | |
| FUNCTION GFCCTA 2.98150E+02 +16000+1.7*T+GHSERTA#; | |
| 6.00000E+03 N REF:20 ! | |
| FUNCTION GHCPTA 2.98150E+02 +12000+2.4*T+GHSERTA#; | |
| 6.00000E+03 N REF:20 ! | |
| FUNCTION GLIQTA 2.98150E+02 +29160.975-7.578729*T+GHSERTA#; | |
| 1.00000E+03 Y | |
| +51170.228-181.121652*T+23.7872147*T*LN(T)-.009707033*T**2 | |
| +4.4449E-07*T**3-3520045*T**(-1)+GHSERTA#; 1.30000E+03 Y | |
| +66274.294-305.868555*T+41.1650403*T*LN(T)-.018497638*T**2 | |
| +1.269735E-06*T**3-5952924*T**(-1)+GHSERTA#; 2.50000E+03 Y | |
| -185498.547+660.615425*T-78.4965229*T*LN(T)+.00565331*T**2 | |
| +4.19566E-07*T**3+90290310*T**(-1)+GHSERTA#; 3.29000E+03 Y | |
| +1036069.47-2727.38037*T+320.319132*T*LN(T)-.043117795*T**2 | |
| +1.055148E-06*T**3-5.54714342E+08*T**(-1)+GHSERTA#; | |
| 6.00000E+03 N REF:20 ! | |
| FUNCTION TATIB2 2.98150E+02 2500; 6.00000E+03 N REF:25 ! | |
| $--------------------------------------------------------------- | |
| $--------------------------------------------------------------- | |
| $ * ZR * | |
| $--------------------------------------------------------------- | |
| $--------------------------------------------------------------- | |
| FUNCTION GLIQZR 2.98140E+02 +18147.69-9.080812*T | |
| +1.6275E-22*T**7+GHSERZR#; 2.12800E+03 Y | |
| +17804.661-8.911574*T+1.342895E+31*T**(-9)+GHSERZR#; | |
| 6.00000E+03 N REF:20 ! | |
| FUNCTION GBCCZR 2.98140E+02 -525.539+124.9457*T | |
| -25.607406*T*LN(T)-3.40084E-04*T**2-9.729E-09*T**3 | |
| +25233*T**(-1)-7.6143E-11*T**4; 2.12800E+03 Y | |
| -30705.955+264.284163*T-42.144*T*LN(T)+1.276058E+32*T**(-9); | |
| 6.00000E+03 N REF:20 ! | |
| FUNCTION GHSERZR 1.30000E+02 -7827.595+125.64905*T | |
| -24.1618*T*LN(T)-.00437791*T**2+34971*T**(-1); | |
| 2.12800E+03 Y | |
| -26085.921+262.724183*T-42.144*T*LN(T)-1.342895E+31*T**(-9); | |
| 6.00000E+03 N REF:20 ! | |
| $--------------------------------------------------------------- | |
| FUNCTION UN_ASS 298.15 0; 300 N ! | |
| $--------------------------------------------------------------- | |
| $************************************************************* | |
| TYPE_DEFINITION % SEQ * ! | |
| TYPE_DEFINITION G SEQ * ! | |
| DEFINE_SYSTEM_DEFAULT SPECIE 6 ! | |
| DEFAULT_COMMAND DEF_SYS_ELEMENT VA ! | |
| $--------------------------------------------------------------- | |
| $************************************************************* | |
| $************************************************************* | |
| $--------------------------------------------------------------- | |
| PHASE LIQUID % 1 1.0 ! | |
| CONSTITUENT LIQUID :MO,TA,NB,SN,TI,ZR: ! | |
| PARAMETER G(LIQUID,TI;0) 298.15 GLIQTI#; 6000.00 N REF:20 ! | |
| PARAMETER G(LIQUID,MO;0) 298.15 GLIQMO; 6000.00 N REF:20 ! | |
| PARAMETER G(LIQUID,NB;0) 298.15 GLIQNB; 6000.00 N REF:20 ! | |
| PARAMETER G(LIQUID,SN;0) 298.15 GLIQSN; 6000.00 N REF:20 ! | |
| PARAMETER G(LIQUID,TA;0) 298.15 GLIQTA#; 6000.00 N REF:20 ! | |
| PARAMETER G(LIQUID,ZR;0) 298.15 +GLIQZR#; 6000.00 N REF:20 ! | |
| PARAMETER G(LIQUID,MO,TI;0) 298.15 -9000.0+2*T; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(LIQUID,NB,TI;0) 298.15 +7406.1; 6000.00 N REF:23 ! | |
| PARAMETER G(LIQUID,SN,TI;0) 298.15 -91598.90-0.9416*T; | |
| 6000.00 N REF:29 ! | |
| PARAMETER G(LIQUID,SN,TI;1) 298.15 45682.64-12.1045*T; | |
| 6000.00 N REF:29 ! | |
| PARAMETER G(LIQUID,TA,TI;0) 298.15 +1000; 6000.00 N REF:25 ! | |
| PARAMETER G(LIQUID,TA,TI;1) 298.15 -7000; 6000.00 N REF:25 ! | |
| PARAMETER G(LIQUID,TI,ZR;0) 298.15 -967.66; 6000.00 N REF:22 ! | |
| PARAMETER G(LIQUID,MO,NB;0) 298.15 15253.7; 6000.00 N REF:21 ! | |
| PARAMETER G(LIQUID,MO,NB;1) 298.15 10594.2; 6000.00 N REF:21 ! | |
| PARAMETER G(LIQUID,MO,TA;0) 298.15 13978.9; 6000.00 N REF:21 ! | |
| PARAMETER G(LIQUID,MO,TA;1) 298.15 577.5; 6000.00 N REF:21 ! | |
| PARAMETER G(LIQUID,MO,ZR;0) 298.15 -24055.120+8.146158*T; | |
| 6000.00 N REF:26 ! | |
| PARAMETER G(LIQUID,MO,ZR;1) 298.15 -5132.1665+4.8041224*T; | |
| 6000.00 N REF:26 ! | |
| PARAMETER G(LIQUID,NB,TA;0) 298.15 0; 6000.00 N REF:21 ! | |
| PARAMETER G(LIQUID,NB,ZR;0) 298.15 10311; 6000.00 N REF:28 ! | |
| PARAMETER G(LIQUID,NB,ZR;1) 298.15 6709; 6000.00 N REF:28 ! | |
| PARAMETER G(LIQUID,SN,TA;0) 298.15 -17118; 6000 N ! | |
| PARAMETER G(LIQUID,TA,ZR;0) 298.15 13832.1; 6000.00 N REF:27 ! | |
| PARAMETER G(LIQUID,TA,ZR;1) 298.15 -7150; 6000.00 N REF:27 ! | |
| $--------------------------------------------------------------- | |
| PHASE BCC_A2 % 2 1 3 ! | |
| CONSTITUENT BCC_A2 :MO,TA,NB,SN,TI,ZR:VA: ! | |
| PARAMETER G(BCC_A2,TI:VA;0) 298.15 +GBCCTI; 6000.0 N REF:20 ! | |
| PARAMETER G(BCC_A2,MO:VA;0) 298.15 +GHSERMO; 6000.00 N REF:20 ! | |
| PARAMETER G(BCC_A2,NB:VA;0) 298.15 +GHSERNB; 6000.00 N REF:20 ! | |
| PARAMETER G(BCC_A2,SN:VA;0) 100 +GBCCSN#; 3000.00 N REF:20 ! | |
| PARAMETER G(BCC_A2,TA:VA;0) 298.15 +GHSERTA; 6000.00 N REF:20 ! | |
| PARAMETER G(BCC_A2,ZR:VA;0) 298.15 +GBCCZR; 6000.00 N REF:20 ! | |
| PARAMETER G(BCC_A2,MO,TI:VA;0) 298.15 2000.0; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(BCC_A2,MO,TI:VA;1) 298.15 -2000.0; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(BCC_A2,NB,TI:VA;0) 298.15 +13045.3; | |
| 6000.00 N REF:23 ! | |
| PARAMETER G(BCC_A2,SN,TI:VA;0) 298.15 -142089.52+28.14226*T; | |
| 6000.00 N REF:29 ! | |
| PARAMETER G(BCC_A2,SN,TI:VA;1) 298.15 41211.467; | |
| 6000.00 N REF:29 ! | |
| PARAMETER G(BCC_A2,TA,TI:VA;0) 298.15 12000; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(BCC_A2,TA,TI:VA;1) 298.15 -2500; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(BCC_A2,TI,ZR:VA;0) 298.15 -4346.16+5.48903*T; | |
| 6000.00 N REF:22 ! | |
| PARAMETER G(BCC_A2,MO,NB:VA;0) 298.15 -68202.6+29.85596*T; | |
| 6000.00 N REF:21 ! | |
| PARAMETER G(BCC_A2,MO,NB:VA;1) 298.15 8201.3; | |
| 6000.00 N REF:21 ! | |
| PARAMETER G(BCC_A2,MO,TA:VA;0) 298.15 -75129.2+30*T; | |
| 6000.00 N REF:21 ! | |
| PARAMETER G(BCC_A2,MO,TA:VA;1) 298.15 6039.24; | |
| 6000.00 N REF:21 ! | |
| PARAMETER G(BCC_A2,MO,ZR:VA;0) 298.15 +17935.985+3.102*T; | |
| 6000.00 N REF:26 ! | |
| PARAMETER G(BCC_A2,MO,ZR:VA;1) 298.15 -990.9911+4.299*T; | |
| 6000.00 N REF:26 ! | |
| PARAMETER G(BCC_A2,NB,TA:VA;0) 298.15 1298.02870; | |
| 6000.00 N REF:21 ! | |
| PARAMETER G(BCC_A2,NB,ZR:VA;0) 298.15 +15911+3.35*T; | |
| 6000.00 N REF:28 ! | |
| PARAMETER G(BCC_A2,NB,ZR:VA;1) 298.15 +3919-1.091*T; | |
| 6000.00 N REF:28 ! | |
| PARAMETER G(BCC_A2,SN,TA:VA;0) 298.15 +70451; 6000 N ! | |
| PARAMETER G(BCC_A2,SN,TA:VA;1) 298.15 +112237; 6000 N ! | |
| PARAMETER G(BCC_A2,ZR,TA:VA;0) 298.15 29499.6+2.6723*T; | |
| 6000.00 N REF:27 ! | |
| PARAMETER G(BCC_A2,ZR,TA:VA;1) 298.15 -4396.2+4.4302*T; | |
| 6000.00 N REF:27 ! | |
| PARAMETER G(BCC_A2,ZR,TA:VA;2) 298.15 -6353.3+4.9066*T; | |
| 6000.00 N REF:27 ! | |
| PARAMETER G(BCC_A2,MO,TA,TI:VA;0) 298.15 0; 6000.00 N ! | |
| PARAMETER G(BCC_A2,MO,TA,TI:VA;1) 298.15 0; 6000.00 N ! | |
| PARAMETER G(BCC_A2,MO,TA,TI:VA;2) 298.15 -1.5473118E+05; | |
| 6000.00 N ! | |
| PARAMETER G(BCC_A2,NB,TA,TI:VA;0) 2.98150E+02 -1.3660332E+05; | |
| 6.00000E+03 N ! | |
| PARAMETER G(BCC_A2,NB,TA,TI:VA;1) 2.98150E+02 -1.3660269E+05; | |
| 6.00000E+03 N ! | |
| PARAMETER G(BCC_A2,NB,TA,TI:VA;2) 2.98150E+02 0; | |
| 6.00000E+03 N ! | |
| $--------------------------------------------------------------- | |
| PHASE HCP_A3 % 2 1 .5 ! | |
| CONSTITUENT HCP_A3 :NB,TI%,SN,ZR,TA,MO : VA% : ! | |
| PARAMETER G(HCP_A3,TI:VA;0) 298.15 +GHSERTI#; 4000.00 N REF:20 ! | |
| PARAMETER G(HCP_A3,MO:VA;0) 298.15 +GHCPMO; 5000.00 N REF:20 ! | |
| PARAMETER G(HCP_A3,NB:VA;0) 298.15 +GHCPNB#; | |
| 6000.00 N REF:20 ! | |
| PARAMETER G(HCP_A3,SN:VA;0) 298.15 +GHCPSN#; 3000 N REF:20 ! | |
| PARAMETER G(HCP_A3,TA:VA;0) 298.15 +GHCPTA#; 6000.00 N REF:20 ! | |
| PARAMETER G(HCP_A3,ZR:VA;0) 298.15 +GHSERZR#; 6000.00 N REF:20 ! | |
| PARAMETER G(HCP_A3,MO,TI:VA;0) 298.15 22760-6*T; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(HCP_A3,NB,TI:VA;0) 298.15 +11742.4; | |
| 6000.00 N REF:23 ! | |
| PARAMETER G(HCP_A3,SN,TI:VA;0) 298.15 -127549.582+23.2048828*T; | |
| 6000.00 N REF:29 ! | |
| PARAMETER G(HCP_A3,SN,TI:VA;1) 298.15 +64500.46+7.7566*T; | |
| 6000.00 N REF:29 ! | |
| PARAMETER G(HCP_A3,SN,TI:VA;2) 298.15 +31287.55; | |
| 6000.00 N REF:29 ! | |
| PARAMETER G(HCP_A3,TA,TI:VA;0) 298.15 8500; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(HCP_A3,TI,ZR:VA;0) 298.15 +5133.02; | |
| 6000.00 N REF:22 ! | |
| PARAMETER G(HCP_A3,MO,ZR:VA;0) 298.15 +26753.79+4.556*T; | |
| 6000.00 N REF:26 ! | |
| PARAMETER G(HCP_A3,NB,ZR:VA;0) 298.15 24411; | |
| 6000.00 N REF:28 ! | |
| PARAMETER G(HCP_A3,ZR,TA:VA;0) 298.15 +30051.7; | |
| 6000.00 N REF:27 ! | |
| $--------------------------------------------------------------- | |
| TYPE_DEFINITION * GES A_P_D FCC_A1 MAGNETIC -3.0 2.80000E-01 ! | |
| PHASE FCC_A1 %* 2 1 1 ! | |
| CONSTITUENT FCC_A1 :MO,TI,SN,TA,ZR,NB : VA% : ! | |
| PARAMETER G(FCC_A1,TI:VA;0) 298.15 +GFCCTI; 4000.00 N REF:20 ! | |
| PARAMETER G(FCC_A1,MO:VA;0) 298.15 +GFCCMO; 5000.00 N REF:20 ! | |
| PARAMETER G(FCC_A1,NB:VA;0) 298.15 +GFCCNB; 6000.00 N REF:20 ! | |
| PARAMETER G(FCC_A1,TA:VA;0) 298.15 +GFCCTA; 6000.00 N REF:20 ! | |
| PARAMETER G(FCC_A1,SN:VA;0) 298.15 +GFCCSN#; 3000 N REF:20 ! | |
| PARAMETER G(FCC_A1,MO,TI:VA;0) 298.15 16500.0; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(FCC_A1,TA,TI:VA;0) 298.15 8500; | |
| 6000.00 N REF:25 ! | |
| $--------------------------------------------------------------- | |
| PHASE AL3M_D022 % 2 3 1 ! | |
| CONSTITUENT AL3M_D022 :TI,MO : TA,TI,MO : ! | |
| PARAMETER G(AL3M_D022,TI:TI;0) 298.15 +4*GFCCTI#; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(AL3M_D022,MO:MO;0) 298.15 +4*GFCCMO#; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(AL3M_D022,TI:MO;0) 298.15 GFCCMO+3.0*GFCCTI; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(AL3M_D022,MO:TI;0) 298.15 3*GFCCMO+GFCCTI; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(AL3M_D022,TI:TA;0) 298.15 +3*GFCCTI#+GFCCTA#; | |
| 6000.00 N REF:25 ! | |
| $--------------------------------------------------------------- | |
| TYPE_DEFINITION & GES A_P_D ALM_D019 MAGNETIC -3.0 2.80000E-01 ! | |
| PHASE ALM_D019 %& 2 3 1 ! | |
| CONSTITUENT ALM_D019 :MO,TA,TI% : MO,TA,TI : ! | |
| PARAMETER G(ALM_D019,TI:TI;0) 298.15 +4.0+4.0*GHSERTI#; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(ALM_D019,TA:MO;0) 298.15 0; 6000 N! | |
| PARAMETER G(ALM_D019,MO:TA;0) 298.15 0; 6000 N! | |
| PARAMETER G(ALM_D019,MO:MO;0) 298.15 +4.0*GHCPMO#; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(ALM_D019,TA:TA;0) 298.15 +4.0*GHCPTA#; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(ALM_D019,TI:MO;0) 298.15 +17072.0-4.5*T | |
| +GHCPMO+3.0*GHSERTI; 6000.00 N REF:25 ! | |
| PARAMETER G(ALM_D019,MO:TI;0) 298.15 +17072.0-4.5*T | |
| +3.0*GHCPMO+GHSERTI; 6000.00 N REF:25 ! | |
| PARAMETER G(ALM_D019,TI:TA;0) 298.15 +6376+3.0*GHSERTI# | |
| +GHCPTA#; 6000.00 N REF:25 ! | |
| PARAMETER G(ALM_D019,TA:TI;0) 298.15 +6376+3.0*GHCPTA# | |
| +GHSERTI#; 6000.00 N REF:25 ! | |
| PARAMETER G(ALM_D019,MO,TI:MO;0) 298.15 +51212-13.5*T; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(ALM_D019,MO,TI:TI;0) 298.15 +51212-13.5*T; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(ALM_D019,MO:MO,TI;0) 298.15 +5692-1.5*T; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(ALM_D019,TI:MO,TI;0) 298.15 +5692-1.5*T; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(ALM_D019,TA,TI:TA;0) 298.15 +19128; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(ALM_D019,TA,TI:TI;0) 298.15 +19128; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(ALM_D019,TA:TA,TI;0) 298.15 2128; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(ALM_D019,TI:TA,TI;0) 298.15 +2128; | |
| 6000.00 N REF:25 ! | |
| $--------------------------------------------------------------- | |
| TYPE_DEFINITION ' GES A_P_D ALTI MAGNETIC -1.0 4.00000E-01 ! | |
| PHASE ALTI %' 2 1 1 ! | |
| CONSTITUENT ALTI :MO,TA,TI : MO,TA,TI% : ! | |
| PARAMETER G(ALTI,TI:TI;0) 298.15 +2*GFCCTI#; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(ALTI,MO:MO;0) 298.15 +2*GFCCMO#; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(ALTI,TA:TA;0) 298.15 +2*GFCCTA#; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(ALTI,TI:MO;0) 298.15 8250+GFCCMO+GFCCTI; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(ALTI,MO:TI;0) 298.15 8250+GFCCMO+GFCCTI; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(ALTI,TI:TA;0) 298.15 +4250+GFCCTI#+GFCCTA#; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(ALTI,TA:TI;0) 298.15 +4250+GFCCTA#+GFCCTI#; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(ALTI,MO,TI:MO;0) 298.15 8250; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(ALTI,MO,TI:TI;0) 298.15 8250; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(ALTI,MO:MO,TI;0) 298.15 8250; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(ALTI,TI:MO,TI;0) 298.15 8250; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(ALTI,TA,TI:TA;0) 298.15 4250; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(ALTI,TA,TI:TI;0) 298.15 4250; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(ALTI,TA:TA,TI;0) 298.15 4250; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(ALTI,TI:TA,TI;0) 298.15 4250; | |
| 6000.00 N REF:25 ! | |
| $-------------------------------------------------------------- | |
| TYPE_DEFINITION ) GES AMEND_PHASE_DESCRIPTION BCC_B2 DIS_PART BCC_A2,,,! | |
| PHASE BCC_B2 %) 3 .5 .5 3 ! | |
| CONSTITUENT BCC_B2 :MO,NB,TA,SN,TI,ZR : MO,NB,TA,SN,TI,ZR : VA : ! | |
| PARAMETER G(BCC_B2,MO:MO:VA;0) 298.15 0; 6000 N REF:25! | |
| PARAMETER G(BCC_B2,TA:TA:VA;0) 298.15 0; 6000 N REF:25 ! | |
| PARAMETER G(BCC_B2,TI:TI:VA;0) 298.15 0; 6000 N REF:25 ! | |
| PARAMETER G(BCC_B2,TI:MO:VA;0) 298.15 10000.0; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(BCC_B2,MO:TI:VA;0) 298.15 10000.0; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(BCC_B2,TI:TA:VA;0) 298.15 +5000.0; | |
| 6000.00 N REF:25 ! | |
| PARAMETER G(BCC_B2,TA:TI:VA;0) 298.15 +5000.0; | |
| 6000.00 N REF:25 ! | |
| $--------------------------------------------------------------- | |
| PHASE BCT_A5 % 1 1.0 ! | |
| CONSTITUENT BCT_A5 :TI,SN : ! | |
| PARAMETER G(BCT_A5,TI;0) 298.15 +4602.2+GHSERTI#; | |
| 3000.00 N REF:20 ! | |
| PARAMETER G(BCT_A5,SN;0) 100 +GHSERSN#; 3000 N REF:20 ! | |
| PARAMETER G(BCT_A5,SN,TI:VA;0) 298.15 50000; | |
| 6000.00 N REF:29 ! | |
| $--------------------------------------------------------------- | |
| PHASE CBCC_A12 % 2 1 1 ! | |
| CONSTITUENT CBCC_A12 :TI,SN : VA : ! | |
| PARAMETER G(CBCC_A12,TI:VA;0) 298.15 +4602.2+GHSERTI#; | |
| 6000.00 N REF:20 ! | |
| PARAMETER G(CBCC_A12,SN:VA;0) 100 +GA12SN#; 3000 N REF:20 ! | |
| $--------------------------------------------------------------- | |
| PHASE CUB_A13 % 2 1 1 ! | |
| CONSTITUENT CUB_A13 :TI,SN : VA : ! | |
| PARAMETER G(CUB_A13,TI:VA;0) 298.15 +7531.2+GHSERTI#; | |
| 6000.00 N REF:20 ! | |
| PARAMETER G(CUB_A13,SN:VA;0) 100 +GA13SN#; 3000 N REF:20 ! | |
| $--------------------------------------------------------------- | |
| PHASE DIAMOND_A4 % 1 1.0 ! | |
| CONSTITUENT DIAMOND_A4 :TI,SN : ! | |
| PARAMETER G(DIAMOND_A4,TI;0) 298.15 +25000+GHSERTI#; | |
| 6000.00 N REF:20 ! | |
| PARAMETER G(DIAMOND_A4,SN;0) 100 +GDIASN; 3000 N REF:20 ! | |
| $--------------------------------------------------------------- | |
| PHASE LAVES_C14 % 2 2 1 ! | |
| CONSTITUENT LAVES_C14 :TI : TI% : ! | |
| PARAMETER G(LAVES_C14,TI:TI;0) 298.15 +15000+3*GHSERTI#; | |
| 6000.00 N REF:20 ! | |
| $--------------------------------------------------------------- | |
| PHASE LAVES_C15 % 2 2 1 ! | |
| CONSTITUENT LAVES_C15 :TI,MO,ZR : TI,MO,ZR : ! | |
| PARAMETER G(LAVES_C15,TI:TI;0) 298.15 +15000+3*GHSERTI#; | |
| 6.00000E+03 N REF:24! | |
| PARAMETER G(LAVES_C15,MO:MO;0) 298.15 +3*GHSERMO#+15000; | |
| 6000 N REF:26 ! | |
| PARAMETER G(LAVES_C15,ZR:ZR;0) 298.15 +3*GHSERZR#+15000; | |
| 6000 N REF:26 ! | |
| PARAMETER G(LAVES_C15,TI:MO;0) 298.15 +GHSERMO#+2*GHSERTI# | |
| +15000; 6000 N REF:24 ! | |
| PARAMETER G(LAVES_C15,MO:TI;0) 298.15 +2*GHSERMO#+GHSERTI# | |
| +15000; 6000 N REF:24 ! | |
| PARAMETER G(LAVES_C15,TI:ZR;0) 298.15 +2*GHSERTI#+GHSERZR# | |
| +9000; 6000 N REF:24 ! | |
| PARAMETER G(LAVES_C15,ZR:TI;0) 298.15 +GHSERTI#+2*GHSERZR# | |
| +15000; 6000 N REF:24 ! | |
| PARAMETER G(LAVES_C15,MO:ZR;0) 298.15 +2*GHSERMO#+GHSERZR# | |
| -21734.78+0.1441789*T; 6000 N REF:26 ! | |
| PARAMETER G(LAVES_C15,ZR:MO;0) 298.15 +GHSERMO#+2*GHSERZR# | |
| +21734.78-0.1441789*T; 6000 N REF:26 ! | |
| PARAMETER G(LAVES_C15,MO:MO,ZR;0) 298.15 +60000; 6000 N REF:26 ! | |
| PARAMETER G(LAVES_C15,ZR:MO,ZR;0) 298.15 +60000; 6000 N REF:26 ! | |
| PARAMETER G(LAVES_C15,MO,ZR:MO;0) 298.15 +100000; 6000 N REF:26 ! | |
| PARAMETER G(LAVES_C15,MO,ZR:ZR;0) 298.15 +100000; 6000 N REF:26 ! | |
| PARAMETER G(LAVES_C15,TI:MO,ZR;0) 298.15 +60000; 6000 N REF:27 ! | |
| PARAMETER G(LAVES_C15,MO,ZR:TI;0) 298.15 +100000; 6000 N REF:27 ! | |
| $--------------------------------------------------------------- | |
| PHASE OMEGA % 2 1 .5 ! | |
| CONSTITUENT OMEGA :NB,TI% : VA% : ! | |
| PARAMETER G(OMEGA,ZR;0) 298.15 -8878.082+144.432234*T | |
| -26.8556*T*LN(T)-.002799446*T**2+38376*T**(-1); 2128 Y | |
| -29500.524+265.290858*T-42.144*T*LN(T) | |
| +7.17445E+31*T**(-9); 6000 N REF20 ! | |
| PARAMETER G(OMEGA,TI:VA;0) 298.15 1886.7-0.15161*T+GHSERTI#; | |
| 4.00000E+03 N REF:23 ! | |
| PARAMETER G(OMEGA,NB:VA;0) 2.98150E+02 15000+2.4*T++GHSERNB#; | |
| 6.00000E+03 N REF:23 ! | |
| PARAMETER G(OMEGA,NB,TI:VA;0) 298.15 -3775.9; | |
| 6000.00 N REF:23 ! | |
| $--------------------------------------------------------------- | |
| PHASE SI3TI5 % 3 2 3 3 ! | |
| CONSTITUENT SI3TI5 :TI : TI : TI : ! | |
| PARAMETER G(SI3TI5,TI:TI:TI;0) 298.15 +40000+20*T+8*GHSERTI#; | |
| 6000.00 N REF:20 ! | |
| $--------------------------------------------------------------- | |
| PHASE ORTHORHOMBIC_A20 % 1 1.0 ! | |
| CONSTITUENT ORTHORHOMBIC_A20 :ZR : ! | |
| PARAMETER G(ORTHORHOMBIC_A20,ZR;0) 298.15 +4474.461+124.9457*T | |
| -25.607406*T*LN(T)-3.40084E-04*T**2-9.729E-09*T**3 | |
| +25233*T**(-1)-7.6143E-11*T**4; 2128 Y | |
| -25705.955+264.284163*T-42.144*T*LN(T) | |
| +1.276058E+32*T**(-9); 6000 N REF:20 ! | |
| $--------------------------------------------------------------- | |
| PHASE TETRAGONAL_U % 1 1.0 ! | |
| CONSTITUENT TETRAGONAL_U :ZR : ! | |
| PARAMETER G(TETRAGONAL_U,ZR;0) 298.15 +4474.461+124.9457*T | |
| -25.607406*T*LN(T)-3.40084E-04*T**2-9.729E-09*T**3 | |
| +25233*T**(-1)-7.6143E-11*T**4; 2128 Y | |
| -25705.955+264.284163*T-42.144*T*LN(T) | |
| +1.276058E+32*T**(-9); 6000 N REF:20 ! | |
| $--------------------------------------------------------------- | |
| PHASE HCP_ZN % 2 1 .5 ! | |
| CONSTITUENT HCP_ZN :SN : VA : ! | |
| PARAMETER G(HCP_ZN,SN:VA;0) 298.15 +GHCPZN_S#; 3000 N REF:20 ! | |
| $--------------------------------------------------------------- | |
| PHASE TA3SN % 2 3 1 ! | |
| CONSTITUENT TA3SN :TA : SN : ! | |
| PARAMETER G(TA3SN,TA:SN;0) 298.15 | |
| -6.8843951E+04-6.0000000E+00*T+3*GHSERTA#+GHSERSN#; 3000 N ! | |
| $--------------------------------------------------------------- | |
| PHASE TASN2 % 2 1 2 ! | |
| CONSTITUENT TASN2 :TA : SN : ! | |
| PARAMETER G(TASN2,TA:SN;0) 298.15 | |
| -2.9678180E+04-4.2015586E+00*T+GHSERTA#+2*GHSERSN#; 3000 N ! | |
| $--------------------------------------------------------------- | |
| PHASE TI6SN5 % 2 5 6 ! | |
| CONSTITUENT TI6SN5 :SN : TI : ! | |
| PARAMETER G(TI6SN5,SN:TI;0) 298.15 | |
| -468938.25+5.3729*T+6*GHSERTI#+5*GHSERSN#; 3000 N REF:29 ! | |
| $--------------------------------------------------------------- | |
| PHASE TI2SN3 % 2 3 2 ! | |
| CONSTITUENT TI2SN3 :SN : TI : ! | |
| PARAMETER G(TI2SN3,SN:TI;0) 298.15 | |
| -173931.75+7.82593*T+2*GHSERTI#+3*GHSERSN#; 3000 N REF:29 ! | |
| $--------------------------------------------------------------- | |
| PHASE TI2SN % 2 1 2 ! | |
| CONSTITUENT TI2SN :SN,VA : TI,VA : ! | |
| PARAMETER G(TI2SN,SN:TI;0) 298.15 | |
| -122344.77+6.0034*T+2*GHSERTI+GHSERSN; 3000 N REF:29 ! | |
| PARAMETER G(TI2SN,VA:TI;0) 298.15 | |
| +10000+2*GHSERTI; 3000 N REF:29 ! | |
| PARAMETER G(TI2SN,SN:VA;0) 298.15 | |
| +5000+GHSERSN; 3000 N REF:29 ! | |
| PARAMETER G(TI2SN,VA:VA;0) 298.15 +300000; 3000 N REF:29 ! | |
| PARAMETER G(TI2SN,SN,VA:TI;0) 298.15 -34085.17; 3000 N REF:29 ! | |
| PARAMETER G(TI2SN,SN:TI,VA;0) 298.15 | |
| -49803.91+24.4710*T; 3000 N REF:29 ! | |
| $--------------------------------------------------------------- | |
| PHASE SNTI3 % 2 1 3 ! | |
| CONSTITUENT SNTI3 :SN,VA : TI : ! | |
| PARAMETER G(SNTI3,SN:TI;0) 298.15 | |
| -141133.07+1.1272*T+3*GHSERTI#+GHSERSN#; 3000 N REF:29 ! | |
| PARAMETER G(SNTI3,VA:TI;0) 298.15 | |
| 15000+3*GHSERTI; 3000 N REF:29 ! | |
| $--------------------------------------------------------------- | |
| PHASE TI5SN3 % 3 3 5 1 ! | |
| CONSTITUENT TI5SN3 :SN : TI : VA : ! | |
| PARAMETER G(TI5SN3,SN:TI:VA;0) 298.15 | |
| -330186.45+5.3066*T+5*GHSERTI#+3*GHSERSN#; 3000 N REF:29 ! | |
| $--------------------------------------------------------------- | |
| PHASE TETRAGONAL_A6 % 1 1.0 ! | |
| CONSTITUENT TETRAGONAL_A6 :SN : ! | |
| PARAMETER G(TETRAGONAL_A6,SN;0) 298.15 +GA6SN#; 3000 N REF:20 ! | |
| $--------------------------------------------------------------- | |
| PHASE RHOMBOHEDRAL_A7 % 1 1.0 ! | |
| CONSTITUENT RHOMBOHEDRAL_A7 :SN : ! | |
| PARAMETER G(RHOMBOHEDRAL_A7,SN;0) 100 +GA7SN#; 3000 N REF:20 ! | |
| $************************************************************* | |
| $ DATABASE_INFO FOR THE Mo_Nb_Ta_TI_ZR SYSTEM ! | |
| LIST_OF_REFERENCES | |
| NUMBER SOURCE | |
| 20 'A.T. Dinsdale, SGTE Data for Pure Elements, CALPHAD. | |
| 15 (1991) 317–425. ' | |
| 21 'W. Xiong, Y. Du, Y. Liu, B.Y. Huang, H.H. Xu, H.L. Chen, | |
| et al., Thermodynamic assessment of the Mo-Nb-Ta system, | |
| Calphad-Computer Coupling Phase Diagrams Thermochem. 28 | |
| (2004) 133–140.' | |
| 22 'K.C.H. Kumar, P. Wollants, L. Delaey, Thermodynamic | |
| assessment of the Ti-Zr system and calculation of the | |
| Nb-Ti-Zr phase-diagram, J. Alloys Compd. 206 (1994) 121–127.' | |
| 23 'Y.L. Zhang, H.S. Liu, Z.P. Jin, Thermodynamic assessment | |
| of the Nb-Ti system, Calphad-Computer Coupling Phase | |
| Diagrams Thermochem. 25 (2001) 305–317.' | |
| 24 'S. Kar, D.M. Lipkin, A CALPHAD-based phase equilibrium model | |
| of Mo-Ti-Zr-C, in: TMS 2008 Annu. Meet. Suppl. Proceedings, | |
| Vol 2 Mater. Charact. Comput. Model., Minerals, Metals & | |
| Materials Soc, Warrendale, 2008: pp. 237–243.' | |
| 25 'I. Ansara, A.T. Dinsdale, M.H. Rand, COST 507: | |
| thermochemical database for light metal alloys, | |
| European Communities, Brussels and Luxembourg, 1998.' | |
| 26 'R.J. Perez, B. Sundman, Thermodynamic assessment of the Mo-Zr | |
| binary phase diagram, Calphad-Computer Coupling Phase Diagrams | |
| Thermochem. 27 (2003) 253–262.' | |
| 27 'A.F. Guillermet, Phase-diagram and thermochemical properties | |
| of the Zr-Ta system - an assessment based on Gibbs energy | |
| modeling, J. Alloys Compd. 226 (1995) 174–184.' | |
| 28 'A.F. Guillermet, Thermodynamic analysis of the stable phases | |
| in the Zr-Nb system and calculation of the phase-diagram, | |
| Zeitschrift Fur Met. 82 (1991) 478–487.' | |
| 29 'F. Yin, J.-C. Tedenac, and F. Gascoin, Thermodynamic modelling | |
| of the Ti–Sn system and calculation of the Co–Ti–Sn system, | |
| Calphad, vol. 31, no. 3, pp. 370–379, Sep. 2007.' | |
| 30 'N. Subasic, Thermodynamic evaluation of Sn-Zr phase diagram, | |
| Calphad, vol. 22, no. 2, pp. 157–165, Jun. 1998.' | |
| ! |
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