{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Use case: glass in periodic boundary conditions\n", "\n", "Monte-Carlo simulation data of a polydisperse hard sphere glass. Courtesy of John Russo.\n", "\n", "The simulation box is cubic of period 203 and all particle coordinates are in [0,203)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "from scipy.spatial import cKDTree as KDTree\n", "import boo\n", "#from boo import boo\n", "from matplotlib import pyplot as plt\n", "from matplotlib import ticker\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Prepare input\n", "\n", "load coordinates" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((16384, 3), 202.999)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L = 203.\n", "xyzr = np.loadtxt('3d_6_0.54_0.dat')\n", "radius = xyzr[:,-1]\n", "pos = xyzr[:,:-1]\n", "pos.shape, pos.max()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Radius probability distribution function" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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1deVqeci8FB6yIE1NOY+8qCG6J6KlbjGtXYNMTSU9yYPkEIWHLEi/aj3E/r6j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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(np.linspace(2,6,100)[:-1], np.histogram(radius, np.linspace(2,6,100))[0])\n", "plt.xlabel('R')\n", "plt.ylabel('P(R)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display a thin slice \n", "\n", "*This is really a quick but dirtyc way of showing the data in real space. Do not use this for a publication.*" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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+shbCzAYunhBPWk+46EB5C1d+uEdb6/c8pOLGLh5afYTDla3866xhvLg+z+vL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\nDz98wu8g/PDDD5/4X8s6opaoKE0MAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "z0 = 100\n", "sl = (pos[:,-1] > z0 - radius) & (pos[:,-1] < z0 + radius)\n", "markersize = 4*(radius[sl]**2 - (pos[sl,-1]-z0)**2)\n", "plt.scatter(pos[sl,0], pos[sl,1], s=markersize, marker='o')\n", "\n", "plt.xlim(0,L)\n", "plt.ylim(0,L)\n", "plt.axes().set_aspect('equal', 'box')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Construct the neighbour lists. \n", "People doing simulations probably have neighbour lists they can tuncate with various criteria. Here, let us say that this data was lost or not saved. Because of periodic boundary conditions we cannot use directly KDTree or Delaunay triangulations from `scipy.spatial`. It is always possible to compute the whole $N(N-1)$ distances by brute force (don't do this at home)." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from numba import jit\n", "from math import floor\n", "@jit(nopython=True) #numba to speed up our brute force approach\n", "def periodic_neighbours(pos, maxdist, L):\n", " maxdistsq = maxdist**2\n", " rL = 1./L\n", " bonds = []\n", " dists = []\n", " for i in range(len(pos)-1):\n", " for j in range(i+1, len(pos)):\n", " distsq = 0\n", " for d in range(pos.shape[1]):\n", " diff = pos[i,d] - pos[j,d]\n", " diff -= L * floor(diff * rL + 0.5)\n", " distsq += diff*diff\n", " if distsq < maxdistsq:\n", " bonds.append(i)\n", " bonds.append(j)\n", " dists.append(distsq)\n", " return np.array(bonds, np.int64).reshape((len(dists),2)), np.sqrt(np.array(dists, np.float64))\n", " " ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "maxbondlength = 15.\n", "bonds, dists = periodic_neighbours(pos, maxbondlength, L)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We took a rather lax maximum bond length because we have polydisperse particles. Let us look at the distribution of lengths, scaled like a pair distribution function (note that we have twice as many pairs than bidirectional bonds)." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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XvMTqZ/dxoDOGGbxiURWffdPpU6KlNx5BdjetAHa6+y4AM7sHuAoYGhIik0b/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\nAZVk2LAKBmIiAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rij_bins = np.linspace(0,maxbondlength,100)\n", "density = len(pos)/L**3\n", "plt.plot(\n", " rij_bins[:-1], \n", " np.histogram(dists, rij_bins)[0] * 2 / (4*np.pi/3 * np.diff(rij_bins**3)) / density / len(pos)\n", ")\n", "plt.xlabel('$r_{ij}$')\n", "plt.ylabel('$g(r)$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our maximum bond length is well past the first minimum of $g(r)$. We will keep the first 12 neighbours of each particles, since in a dense 3D hard spheres assembly ordered neighbourhoods (FCC, HCP, icosahedron) should have 12 neighbours." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "@jit(nopython=True) #numba to speed up our brute force approach\n", "def bonds2ngbs(bonds, dists, N, Nngb=12):\n", " \"\"\"Convert from bonds to neighbour array (at most Nngb neighbours)\"\"\"\n", " ngbs = np.full((N, Nngb), -1, np.int64)\n", " nngbs = np.zeros(N, np.int64)\n", " #sort bonds by increasing length to be able to use first-in-first-served\n", " sbonds = bonds[np.argsort(dists)]\n", " for i in range(len(sbonds)):\n", " a = sbonds[i,0]\n", " b = sbonds[i,1]\n", " if nngbs[a]< ngbs.shape[1]:\n", " ngbs[a, nngbs[a]] = b\n", " nngbs[a] += 1\n", " if nngbs[b]< ngbs.shape[1]:\n", " ngbs[b, nngbs[b]] = a\n", " nngbs[b] += 1\n", " return ngbs" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "ngbs = bonds2ngbs(bonds, dists, len(pos))" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0, 0)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.sum(ngbs<0), np.sum(ngbs>=len(pos))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatively, an equivalent criteria can be taken by considering the distances between particles surfaces rathen than between centers. But it is really cheating with respect to experiments. Let us do this." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "drij = dists - (radius[bonds[:,0]] + radius[bonds[:,1]])\n", "ngbs = bonds2ngbs(bonds, drij, len(pos))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Tensorial bond orientational order\n", "\n", "We focus on 6-fold and 4-fold orientational order. We obtain them from the lists of 12 neighbours. Note that we input the size of the box as argument to allow periodic boundary conditions" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "q6m = boo.ngbs2qlm(pos, ngbs, l=6, periods=L)\n", "q4m = boo.ngbs2qlm(pos, ngbs, l=4, periods=L)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These can be coarse grained. Here there is no wall so all particles are \"inside\"." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "inside = np.ones(len(pos), bool)\n", "Q6m, inside2 = boo.coarsegrain_qlm_ngbs(q6m, ngbs, inside)\n", "Q4m, inside2 = boo.coarsegrain_qlm_ngbs(q4m, ngbs, inside)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Crystals\n", "\n", "We identify crystal particles as having at least 7 crystalline bonds (default value)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "22" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "xpos = boo.x_ngbs(q6m, ngbs).sum(-1) > 6\n", "xpos.sum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can lower the threshold in the number of crystalline bonds to catch the surface of the crystal" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "748" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "surf = (boo.x_ngbs(q6m, ngbs).sum(-1) > 2) & np.bitwise_not(xpos)\n", "surf.sum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display a thin slice with colors that depend on the local structure around each particle" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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pEdw3NclpBn+dXsZrP+fRZFLLrvXvGcjMAdFszK5CENQiFGP6hPKPqwY5g0Wg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\nwHhqm8wkRgQ6u17ONiw2xWuRtCSES9F9q0cZGaT32gxgtStO5Up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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "z0 = 100\n", "sl = (pos[:,-1] > z0 - radius) & (pos[:,-1] < z0 + radius)\n", "markersize = 4*np.maximum(0, (radius**2 - (pos[:,-1]-z0)**2))\n", "for label, subset in zip(['other', 'surface', 'crystal'], [np.bitwise_not(xpos|surf), surf, xpos]):\n", " plt.scatter(pos[sl&subset,0], pos[sl&subset,1], s=markersize[sl&subset], marker='o', label=label)\n", "\n", "plt.xlim(0,L)\n", "plt.ylim(0,L)\n", "plt.axes().set_aspect('equal', 'box')\n", "\n", "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Rotational invarients\n", "\n", "Rotational invarients give more precise information about the type of structures. However a sigle quantity if often not enough. That is why we often plot 2D maps." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [], "source": [ "q6 = boo.ql(q6m)\n", "q4 = boo.ql(q4m)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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lFLXNYGy1v5IKga7yjX+dOH4Po9/EBt4tY4ypbZ+BISKrgRJgKf4Rqs+p6uqm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\nZ6QafopVp92inekhFbgphru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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for label, subset in zip(['other', 'surface', 'crystal'], [np.bitwise_not(xpos|surf), surf, xpos]):\n", " plt.plot(q4[inside&subset], q6[inside&subset], '.', label=label)\n", "plt.xlabel('$q_4$')\n", "plt.ylabel('$q_6$')\n", "plt.xlim(0,1)\n", "plt.ylim(0,1)\n", "plt.text(0.1909, 0.5745, 'FCC')\n", "plt.text(0.0972, 0.4848, 'HCP')\n", "plt.text(0.0364, 0.5107, 'BCC')\n", "plt.text(0, 0.6633, 'icosahedron')\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/mathieu/anaconda3/lib/python3.5/site-packages/matplotlib/contour.py:1518: UserWarning: Log scale: values of z <= 0 have been masked\n", " warnings.warn('Log scale: values of z <= 0 have been masked')\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(20,6))\n", "for i, label, subset in zip(range(3), ['other', 'surface', 'crystal'], [np.bitwise_not(xpos|surf), surf, xpos]):\n", " plt.subplot(1,3,i+1)\n", " H, xedges, yedges = np.histogram2d(q6[inside&subset], q4[inside&subset], range=[[0,0.7], [0.,0.3]], bins=(50, 50))\n", " plt.contourf(H, locator=ticker.LogLocator(), origin='lower', extent=(0,0.3,0,0.7))\n", " plt.title(label)\n", " plt.xlabel('$q_4$')\n", " plt.ylabel('$q_6$')\n", " plt.xlim(0,0.3)\n", " plt.ylim(0,0.7)\n", " plt.text(0.1909, 0.5745, 'FCC')\n", " plt.text(0.0972, 0.4848, 'HCP')\n", " plt.text(0.0364, 0.5107, 'BCC')\n", " plt.text(0, 0.6633, 'icosahedron')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Without coarse graining, data is too noisy, even if the above maps could be refined by summing many time steps." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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V1aqq+vDDD+t3vvOd5Pm3bdumkUhEVVVfe+215LFvvvmmnnXWWY0qY6a/EVCirXAPtrmz\njDHdSklVCeFYGA+PiBehpKpl0ya98cYbzJw5k/79+wNwwAEHADBz5szkvFlXXHFFcir3hx56iK99\n7WsATJkyhcsvv5xZs2bVO6vFtm3bmDlzJvn5+fzgBz9g6dKlLSpva7MgYozpVooHFZPr5uKKS46T\nQ/GgFk8flVFwyvchQ4YwaNAg3njjDRYuXMi0adMAuP/++7n99ttZu3YtRUVFbN5ctzPqz3/+c048\n8UQqKir4+9//Xmdq+fZmQcQY060UDixk1mmzuOaoa5h12qwW50ROOukk/vrXvyYDwJYtWzLud+WV\nV/KVr3wlpYby0Ucfccwxx/DLX/6SAQMGsHbtWvr06ZOyBPa2bds45BB/co/Zs2e3qKxtwYKIMabb\nKRxYyJXjrmyVpPrYsWO58cYbOf744ykoKOCHP/xhxv3OPvtsduzYkWzKAn/c07hx48jPz+cLX/gC\nBQUFnHjiiSxbtozCwkKefvppfvKTn3D99ddz1FFHNbmnVzZkdSr4ttBZpoI3xrSNzjIVfElJCT/4\nwQ/aZVbuLjEVvDHGdFe//vWvue+++1JWK+wqrDnLGGPa2M9+9jPWrFnDscce295FaXUWRIwxxjSb\nBRFjTKfX2XO7bamt/zYWRIwxnVpeXh6bN2+2QJKBqrJ582by8vLa7D0ssW6M6dQGDx5MZWUlmzZt\nau+idEh5eXkMHjy4zc5vQcQY06nl5OQwfPjw9i5Gt2XNWcYYY5rNgogxxphmsyBijDGm2SyIGGOM\naTYLIsYYY5rNgogxxphmsyBijDGm2SyIGGOMaTYLIsYYY5rNgogxxphmsyBijDGm2SyIGGOMaTYL\nIsYYY5rNgogxxphmy2oQEZEzRORDEVkpIj9rYL+jRSQqIudns3zGGGOaJmtBRERc4F5gGnAkcJGI\nHFnPfr8BXs1W2YwxxjRPNmsiE4GVqrpKVcPAU8A5Gfb7LvAMsDGLZTPGGNMM2QwihwBrA88r49uS\nROQQ4FzgvoZOJCJXi0iJiJTYkpjGGNN+Olpi/W7gp6rqNbSTqj6gqsWqWjxgwIAsFc0YY0y6bK6x\nvg4YEng+OL4tqBh4SkQA+gNnikhUVZ/LThGNMcY0RTaDyCJghIgMxw8eFwIXB3dQ1eGJxyIyG3jR\nAogxxnRcWQsiqhoVkWuAVwAXeEhVl4rIN+Ov35+tshhjjGkd2ayJoKovAS+lbcsYPFT18myUyRhj\nTPN1tMS6McaYTsSCiDHGmGazIGKMMabZLIh0M+Uby3lwyYOUbyxv76IYY7qArCbWTfsq31jOVa9e\nRTgWJtfNZdZpsygcWNjexTLGdGJWE+lGSqpKCMfCeHhEvAglVSXtXSRjTCdnQaQbKR5UTK6biysu\nOU4OxYOK27tIxphOzpqzupHCgYXMOm0WJVUlFA8q7tBNWeUbyztFOY3p7iyIdDOFAws7/E3ZcjfG\ndB7WnGU6HMvdGNN5WBAxHY7lbozpPKw5q5VZW37LdabcjTHdnQWRVmRt+a2nM+RujDHWnNWq2rMt\nv8GR6GsXwrzf+7+NMaYVWU2kFSXa8iNeJKtt+fXWgNYuhMVPwnt/Bi8Gbi5c9gIMmZiVchljuj4L\nIq2ovdryS6pK2BPbg6KEY2FKqkoo3BOGR86GaA2g/o6xMKyeZ0HEGNNqLIi0sua05bc0Gb9f7n5o\nPFB4eOyXu58fLGJhkgEE8Wsiw6a2ynuydqH/HsOm1h+UGrOPMaZTsyDSzlojGb8tvA0HBw8PB4dt\n4W3+jdvN9QOJE4KjLoaCi2HIxJa/59qFfi0nFq6/iSxtn/Iv/Q8lust6WxnTxVgQaWeZkvEpN9lG\nfJvPmIsZWOjf3BPHgv8YKNn6fsPvuTeLn6xtJquviSxRE9IY5SG4quy3hFWt15oxXYwFkbbQhGac\nBpPxjfnGTwO5mCET/Z/4ecpDUFL2f9nvmG+R67hEPCVHHPbL3Y8HlzzYuFrC2oV+oj7RTOaEaoNU\nUKAmVNKzJ2H18NDmBS1jTIdlQaS1NfLGn9BgMj7wbX5vSfEGczGLn6Dc9bhq0ADCIuR++Dg/2VzN\nNlH2U+G3C+8k7MXq9uzKFAhXz/N7egEgfjNZ4vX0Y+I1oeK+B5Fb/oes91ozxrQ9CyKtrQk3/oR6\nA0AwrxFIiqdLJsmlF4XV66FnP9i9uXb/sj9T0qcnYRE8ESLqsU2UK7d9zoP77UvYi+BBbS0h0bMr\nUyBML1PBxf72YPAM5mCm/ohCYNbAI20EujFdkAWR1tbIG3+jBL7N19c0Vpsk30Ou5zFrwyYK99SA\nOODkwIH54EUorhFydV8iQA5CcU0NAMU1NeTiEBGprSV8+K/6A2F9ZUoJnjEomQ3lTyUDUKZAaVPE\nGNP5WRBpbY248Tf5fPEeVSXzfkFxTQ2Fo89Lnrc2Ma9EBErycv0goh7E9sC6MgAK94SZtWEjJb16\nU3zU1RSuvRsQCqPCrKKfpvac2hNueiBMBM/kuJQGku7YFDHGdBUWRNpCIqHdEoH8QnmPXK565Qr/\nhqvKrPcep/CiOTBkop+Yd1winkeOQnFNOO1ECggMGEXhoZMpjHfzZfgpyfMXDplIndt34YX+cQUX\npV5LfTmfRPBMHyFfTwDaa680Y0ynYEGktTS2R1Zj9iuZDS/9CDwPQj0oOf4bft5ChAhQkutQOPdO\nGHMOhRsWM+vTDZT0CFG8J0bh8JNhxavgRUn0oCrvkUNJeD3Fn6+uDRbBQBcsE6TmNhK9sBL7Ln6i\ntrYRrfGfB5u6hkz0A8/iJwCp98/QXlPEGGNal6jq3vfqwIqLi7WkpJ0XLWpsj6xGDtIrf/xsSnrk\n+E1Xe8KUF8zgqh2LicTC5Kgya8NGCvdEqB2NniBw+Imw6i3Kc11K8vLYLxbjt/36+r2yVJm1cSuF\nFz+bGkCCZSq8CEof8XMbiXOG8vyyAsye7jeTJbg94PIXG1dbSWM5EWPaj4iUqmqLv701uSYiIpcC\nlcC3gRjwlqre18hjzwDuAVzgQVX9ddrr5wC3AR4QBa5V1f80tYxZV0+PrNI11SxYtZlJh/Wj6NC+\ndfdb/GSdWkl5yX1cNahf/Ka/rx8wlrzArBn/h5LqDyn++F0K93xK3QCCv61Xf8rzenLVwP0Ji+Dg\nf0garMUE3zdYpuhu2PRh/bkNiNdwArxo3bxHI3uo2XTvxnR+zWnOOhooUNWZACJyT2MOEhEXuBc4\nFT8ILRKRF1R1WWC3fwEvqKqKyHjgL8DoZpQxu4ZNxXNy/Lu1k4MzbCqla6q55MEFhKMeuSGHx6+c\nRFGw55Y4/jd+1P82H/+2XrKzsrYrLlCSl0fhns8pXL2Qwul3w7CFsOas+LxYGez6jJJDjiQcXY8n\nAqq46s+slaPq98oqe8zPWTgOjJ1BSkBa8zYc+gXoeQCs+Gd8P7e2qcvN9Wsi6gFO5rxHa/ZQM8Z0\naM0JIp8Dg0XkKqAa6N3I4yYCK1V1FYCIPAWcAySDiKruCOzfm8xftzucUm8EvwvfQJEupTQ2luu8\nESxYtZlw1MNTyI99QO4//wqH7Atn/Bo2LE5tMortSX7TL163lNyBff2uuImbPhDML3ha+yzxO/GH\n2tBrJMVVr5PbU5Pn+Mnmara5brJ5rPZEHiz5S90LWvOOf/NPf5dgz7Oaz2HD+3DgeD//8fY9fin2\nGeTnRFqzh5oxpsNqVBARkYOBk4Fe+LWF/YGRwC7gu418r0OAtYHnlcAxGd7rXOBOYCBwVj3luRq4\nGmDo0KGNfPu2s2DVZhZGjyCMx2R3KR+/9yYnH7Ive3Je4LNYb34ReoTc9VFYD56Ty9JBXyRfY7Vh\nQZxk01JBzW5mbYiwMC+P4t17KAhHQFzYswMeO5ctkRD7xiKExA8mOwcUsDFnMLKuhDLvCM58/yEO\nlDCzeuRSkpeXFjjiM/l60XhNogGxSPyBpjZZJQLCI2f7we+jN+oe+97jfp5k6o9a/sc1xnRoew0i\nInIa8AgwF9gDfBM/mHxNVd9p7QKp6rPAsyJyHH5+5JQM+zwAPAB+Yr21y9BUkw7rx8TQSh527iCH\nKM77z+IsEUa5ETxXcAIBQ2MR1q1dQ74LKvHv+JOv8W/OVcvwEPJrIoyqgdmx0yjIeRlXY8kaQ9/4\necpzc1nUM48J2z8kv2YpIYkx1N2Iogj+uJCUWgf4zVSn3OLXGj54MfPFiOv/dlxA/ACS3iSVzHnU\nE4hs3RJjuo3G1ERuB6aq6srEBhGZDDwgIl8HdqlqRSPOsw4YEng+OL4tI1X9t4gcJiL9VfWzRpy/\n3RQd2pffT9xObmkUFw/1/G/xguLi+DdmjaFAFDd5XLImsnklvHgtlP0ZRz1iwL+98ezv1OBkuFEv\n7pHLVQcNJCzi99Zav5GjwlESHe0UBxEJ9LCC8h65LNpaQZ9X7+Xszz+gF0LG3l0HF8JB42unM8nU\nJJXMeezJHEgsD2JMt9GYIJIbDCAAqjpfRM4DXsSvnYxrxHkWASNEZDh+8LgQuDi4g4gcAXwUT6xP\nAHoAmxtx7nYX6dEXTwVFiOGS4zo46g+4Wz3x52z/uJT9YtWsX/8pxzi1fQkUkA9fTt7wBXAFTnNL\nQBwkHhmCt/tFPfOSyfcoUNIzj8I9YUT83L57wDA4pDhZeynvkctVBw6M9/gqYfTujRTEayzBcoDC\nuveQqmXJtUfSaxN+j7MDOPn0PzO66h+wo4qUzEwiJ2K1EGO6hcYEkRoRGaCqm4IbVXWFiMTwcyV7\npapREbkGeAW/i+9DqrpURL4Zf/1+4DzgqyISAXYDF2hnGMhSMpsh83+OfwsXHoqdwYCjzuP8fh/z\nQV4BX3ohwrneR9wemsMQV5MRQRViIrjq1RmWJ5D6LT9+jAgcvbuG3P33TSbOj97tJ99jCo4AWz6G\nLatqi5eXl9rjq2ceheEw5YG8yfiaMAq44qGxMJJojgoMRCz1RiR7nM0LreSJ3CdwvIit3W5MN9aY\nIPI74DkRmamqnyY2ikh/YI+qbmzsm6nqS8BLadvuDzz+DfCbxp6vXSVurj37wUs/8vMeAqrK1e4/\nWNvrCzD1R/zrzZWMjf2dX+bMxkl8+49HDE/hM28/BslWNL7NDx7xmBHPmagSP7f/U5CYBysvj+Ld\nNRSG/QAgApKhmaq4pqZ28kVVinfXpNVO9uWB9Rsp3BMmqiAiuD371Rk0uG34D/m6rmQ+YyjS5fFu\nxp7lQIzpxvYaRFT1GRHpAcwXkVJgMZALfBk/X9L9BG+uIuDFkrduEXBQhs3/OYw5mkmHjaDG/QDB\nSwYCAgFjkGxNPobUgJGJiP8+BTVhCuLzZCXet3YHTQkjBTVhZq3fyKKeeRxdU8P4PWFmHXBASu2k\ntGceBXvCCH5HAP75M3/0enIg4h5OWPkbjnM9rnFD3OF9Nd7TK9LmORAb2W5Mx9WoLr6q+oSIPIef\nx8jHHytysaouasvCdVjBEdnq+D2ZPA/wSMYIjcHiJyma/gcWjjqByH/ngIZxSa0nOPGbfzBoJB5L\n4HHid2KMSCLQSFpiQ/ECj2v3LdgTZtyeME5812N27eDBfXuljkcRJ15b8kepb9pew/4SIhQ/j6Mx\nHFGEKF8dtg1n0MX+GyXyJ23AZvs1pmNr9GBDVd0FPNSGZenwStdUM6esksE7D+YbTg6Op/4Yj7Ez\n2LZ5PZWVn3CkrAFJ3MD9O//EqWfwtQ9v4qfMZryzCheIKvHEuX/TDwYFTTRnBYJEes0kuS91pzlM\nNpllqM0ofuAqqEltEivYE6bcO4zC0BpQD09cvrtsNJHY9Zwf+g8XOG/616MQQxj6ybNopYc4ObUn\n31sgacKywQk2268xHZvN4ttIpWuquWiWn1SGfakMfYXbcmbjeP4Yjj4IR4hLBBdXYyjC9o3r6Lt2\nIUWHTuSWs8dyxD9W48TzGi7wXHQybs/VVPXaztE1NRTUhFNqIRColaQPTad2v0xNX8HjVGFxXi4L\n8/Io2h1mwh4/EZ9oEksEo0JnVfL8nhdlur7FHJ2K5yni1DbZfewN4nBngx8AY3vqLECVUROXDU6w\n2X6N6dgsiDTSglWbiURre0vtp9vj3XL9u66D4uLxemwCp7hluHjs/8mreH96jW1DT2UQ4MbzIuDf\n2If1KuE+ancuAAAgAElEQVSKgw7Ek/3I0X15cP1GCsPh5OuJWkPiOdStqaQI7Bts5lqcV5tEd/cX\nHlq/IfV9AjWgxGEuHhe7/+I8dx6LvcNSqjzV7EuEz3CJxGtbDS9ABTRr2WDYyxr0xph2Z0Gkkfr2\nysVxhJjn37m3SZ9kc5VPUHEZJNU4gWCBKvuveRWvdrfkTbukZw888ZLjPRbFk9uBXZP7pjdrxRvB\nkj2+gkFDSQ06iwJdfDX+PokgEuz1lShbgiOQS5QeBEa+C+zc93DmjbuR06JvNmoBKqBFkzLabL/G\ndFwWRBqhdE01v3xxKZ6nuI5w0uiBfLtvX6TUwb+dCzv6jyd3UwUFzkcZb/5OIEGe2HZ0Wtfbo2tq\nUoNBAzkRf+6s2gCSUpsIHKOaOq7EUeHo3TV1zpdo0iJwvpgK6uYyJ3YSR/IJIY0RxeWP1Uez9O0c\nHr/yZooKLqqT53ji3U94uWI90/IP4uJj4nObtfaywcaYDsGCSCMkZuT1m5CUwiH7s32fSYQlB1fD\niLhsDbscQix5A/aoDRxQt9uuam1ye1FeXm1OhPqPSWxLHJ+SUE8LJEEFe2q7+BbtrmHcnkhKs5gT\nSNArfvCI4vLX2PHkHfUVvnTUiTw0r5jen87nuerhlOlIXPVYsGozRSemjmp/4t1PuOHZJQDM+68/\nW01KILHgYUyXYkGkESYd1o/ckEMk6pETcujbK5eznwszQ+PJdY1y8OdlKccIwlqvP4OdTf5NWsGL\nN4CJarKrbXCixMR4j2BtIiVoSN0aTuI1qBtAgs8Lw2EKw2E8BUWIqj89i6DkxKdcUSCCy19iJzAn\nNhXHEe5xl7F947689eFGitRPyDtATshh0mH96vytXq5YX+d5MogYY7ocCyKNUOT8l6fGzOf5rcPp\nMWwSL1esJxxTDnB34BDDDdyskwFAlUOcTcRwUPVQBA8HN9785aG4aQEiGDjqa55Kfy0h+DzT/ilj\nT1AUl19ELiPfWc3F7r9wxB+D8rE3iDkxP1/xWOhX5JVG8BAedfz8yzVuiN8O+i3Tz/qSv1pjmrEH\n7ZusgQBMyz+o5R+AMabDsiCyN2sX4s3+IvnRMKMIccnaGyjTkQBs0X3qTEsS/O0oOMkBiPGpGeM3\n6/Tkd0P5j/rUVxsJvp4+9kQgHvRiTHMXstQ7tPYagJHupzzp3M5fY8eTE+995eDXnPzgGOXKIes4\nJEMAKV1Tzez5q5N5mqunHtaoWkidZYSNMZ2GBZF6JG5sX9rxKgfGwoTEA40yyVlOWWwkE2QFv8h5\nLLl/ek0k+DvRnBW8WafNUlLnPOm1knR1RqtTtzaSPto9UY7EOJWpzhKOdZbgQbJWBBDCX0fdDx/x\n8SHxvInjOBxy0OCMf6+7X1+RzB05QJ+eOXX2A+qd1DG5jLAFEmM6DQsiGQTXR58X6sOjoRzUixAh\nxAJvDACTnOX+AlTxmkVCes0kub2e5qb0fYPNT5matxojPYjt0lx6SAQnrTeXI5mDH8Cc2FQqvGHc\nnvMQDupPiSKC4Pnzag06MpkkT/y99kS8ZKI+J+Rw8j6rYd7zqb2x0gYdfpz/R8LRHngKkWg8WW9B\nxJhOw4JIBsH10RdFj+ChUfew88M3eTs6JtmUtcAbQ4QQaBTFv7mGRDMGBahbm9jbfvXVMpL7Jf9T\nuy249npQTwmnzIKytwC1PHYoZTqSkbIWN3mU51dHEgMLFz/JuvJXeWHb4fxz65DaAAJMOaI/lx5S\nxeEvX4ZqBHF71I5QTxt0ONldRm6oKNlpIVOy3hjTcVkQySC9N9bRU8/gtQMKKfv3qpT9noknoCu8\nYfwi5zFEIzhonZtyQwnxxOvpGspxQGpzWPL1DO8HtTWORK0pUVtKPz6xbYS7jgmxFUxzF9a+b/yB\n+l0JoPTPDPKiXE6I18I3oIzEAXJzHKblH0TFPx7iJIkg6euTpA06PKTwNB4fP8JyIsZ0UhZE6nHc\niAFUfV7D5MP6sWDVZuavql1gcYKs4PFcfz31CCHmxKZySfgGvh96hmOdJcneWpnyEvXlMoL7pG+r\nb7xIQ81emfIsiW7GEu8ZFuy1FQwqrsaY5Cxn+f4nctz2Jcm6yPr8q3mifCuDdBMXum+m5Inei41k\nyoj+XHvKSBas2szb0dF8KydeU3NC5CRGqGcYdFgEFjyM6aQsiKRJnWgRFlduAyDk1O6TyIeExEM0\nwgx3HjdFv8490fOYmPshOYkp3+vpppuQ6QaeeJ6+X3pQSZdpfEnGLr/440QSC0bW6cGl4KJs0X34\n46ZJrHZ2coE7l43al3+vG8njkQOZICs4z50HGk3miXJCDteeMjIZDP6PO5pLIzfwhdAHnDltJqOD\ngwxt0KExXYYFkTTpEy0mRL3aEd0LvDHEcHDVw0GZ6b7FnNhUynQkD0dP4xuhF1OOra/XVMJmrzcH\nODvr5Dga6upb3/mC2+uMERFwAjun15SCuZUDZAcAK3QIo521jONjjtv8PsvF7+J8SfgGzuu3msVu\nPv37HcWTxx+eUps4b8JglMEcP+FyRlstw5guy4JImkmH9SMn5CRrIkGK35Q1yVnOm7FCTnNLcARc\n9ZjhzuNqXuRUt6R2TAUN5z8SN/EDnJ11uvzWN96jviarRGkdUl+LIezUPPaV3SnlSN2HZM0JIIpb\npxdaetPV+zKSiq2jicY8crds4hvHHw6k9mzLDTmcN6Fud2BjTNfRbYNIfQPcig7ty5NXTeL/vfUR\n/1peRSxwow7mQmI4RAjhqkcMhy+7c8nBnz4k0w0+/eaenhBPrzXUN94jUyBJvJWbocazTXsnaxWZ\nzikCon4g8aeTFG6OXJ6xF1qi6UoEJgztS8ma6jpdc4M92yJRjzlllZY0N6YL65ZBJP3bcvoAt6JD\n+/LAV4spXVPNM2WVPPnuJyjpuRDltVgR7+vhHCyfcbH7r4zddFVTA8jexo9kSq7XN04kse9bsXGc\n4C7J2DTVm911zpHe/JVI94iAp5IMOkCy6WqSs5wFXm0X59JPthKKT40f7Jqb6NkWjnggwtOLPsFT\ncET45Tn5No+WMV2Ms/ddup70b8sLAj2vgooO7csd547j6GF+gNmi+wCJG69yolvOAm8Mc2JTiRBK\n1iTqNoTVCt7oMyXQoW4+I/2YxD4AMYWhsillW1COxOq8b2LfRDlrzyUpAyoTynQkf4ydkwwgAJ6n\nzCwewgUTh3LtqK0c+P69sHYhRYf25ebpY5Nrr0Q9P8cS9ZSbn6+gdE11A38dY0xn0y2DSOLbsiv1\nz0Yb9KWjBienORFq10R38bvClulILgrfxCuxYlZ4B+PF/6wZm6SAKA7vxkbXWb/Df13qdN0NSt/m\nChzmbKh3n2RTGbDOOyC+hJV//hguYUJE1SFMiCdjJ3FJ+IaUYFEfBfr0CLGq7A0u++/3GFTye7zZ\nX4S1C6neFcbL0CvA87TegG2M6Zy6ZXNW0aF9efzKSY1qqy9dU83LFeuTTVnB8RWJrrAJx7vvk4s/\n4LC+Oa8cAVGPHlK7smDit6ewLDaUMc6a5LK4mQYDBh8H8yLJLrzBrr7x51Fc5upRXMibhESJqSSn\nfE9vqkqX6EyQvs/ry6s4XZc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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Q6 = boo.ql(Q6m)\n", "Q4 = boo.ql(Q4m)\n", "for label, subset in zip(['other', 'surface', 'crystal'], [np.bitwise_not(xpos|surf), surf, xpos]):\n", " plt.plot(Q4[inside&subset], Q6[inside&subset], '.', label=label)\n", "\n", "plt.xlabel('$Q_4$')\n", "plt.ylabel('$Q_6$')\n", "plt.xlim(0,0.3)\n", "plt.ylim(0,0.6)\n", "plt.text(0.1909, 0.5745, 'FCC')\n", "plt.text(0.0972, 0.4848, 'HCP')\n", "plt.text(0.0364, 0.5107, 'BCC')\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/mathieu/anaconda3/lib/python3.5/site-packages/matplotlib/contour.py:1518: UserWarning: Log scale: values of z <= 0 have been masked\n", " warnings.warn('Log scale: values of z <= 0 have been masked')\n" ] }, { "data": { "image/png": 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N2RmPuHHDZe8/8LAeR7IzSieA8d36wWOmfoPxjRz92M/s6HJApRMAAKspnsbQ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\nVXVDVR2sqpeus7yq6reGyz9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(20,6))\n", "for i, label, subset in zip(range(3), ['other', 'surface', 'crystal'], [np.bitwise_not(xpos|surf), surf, xpos]):\n", " plt.subplot(1,3,i+1)\n", " H, xedges, yedges = np.histogram2d(Q6[inside&subset], Q4[inside&subset], range=[[0, 0.6], [0., 0.3]], bins=(50, 50))\n", " plt.contourf(H, locator=ticker.LogLocator(), origin='lower', extent=(0, 0.3, 0, 0.6))\n", " plt.title(label)\n", " plt.xlabel('$Q_4$')\n", " plt.ylabel('$Q_6$')\n", " plt.xlim(0,0.3)\n", " plt.ylim(0,0.6)\n", " plt.text(0.1909, 0.5745, 'FCC')\n", " plt.text(0.0972, 0.4848, 'HCP')\n", " plt.text(0.0364, 0.5107, 'BCC')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can completely exclude BCC. Our crystals are a mixture of FCC and HCP.\n", "\n", "Coarse graining basically erases the signal from icosahedral structures. $w_6$ makes icosahedron pop out as very negative values." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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YccHgZmGFgBYRjUZTHTWJa8RzTfnSdsMqwGfhQV4m2GLrFCYbAexI9pWhQEmY\n49RBXrbGc7n5IaYSTLHYP/9+/rLlHJaG+vGB6shzqQFSCGOjSMGKDnj7UqdccVEqJqDeoR2ztu90\nXFWxVopbtV5WBoroIPz2nU71emS9a5W4P88zlzHHPgtL4KO1OykuDTZcrKkRoUVEo9FUTUQMJCIG\nG1pkcshfpOhzTU0iwHW5v2H69T9geO+KtN0NLTJZ9XoIU5xMsIwe7TBWRgZBARYGykjhlTWHGASE\nMSNHbdpu+5RnjKVcpX5NngzgquCvGWOuIbNtCWeWvk1ARcc9/AWELrENFnNatohqZ+Kem1lWMQp3\nVvt2cc9Boi0f9xqr7N7esQ+/2skHa4oIGIqp2T0riiKbIFpENBpN1fQcyVff/S9vv/ESn4UHsfK1\nEFk8ywhW85cPB/PIyBLPNYWEGS6rKoLKPUeSa/dnycY9zLgg1ft2Pujbp7GtEAYQFsVn9mA2dz6b\nX+96nFRCCIoNVndOMrZhKiGVEJPNReSFnSC2iaJ7ySdYZgDEctxake26QiJErBGB7JiOvNllZXGz\nuaBCFGKD8NmRIHwsSkFY4CCtGabWMdpYwxL7ZPJkAEFLeH7pt7ySV1i/xZyNCC0iGk1Tpp5asn9w\nsA//L3ghAgyTr3g29UFSCBPiVRYfmE43M5VwOEiIALlqMNMjQeWEVfG7OmGjsEURIoXHwlO4oWQp\naQQjN37hRGM7FgaGWBgIU82PmWs52V3/DTyIKWEsDOZYZ3JAWnJL4M0oYRDAjrQqyQr6OvJGAuqx\nGVyxbrGs8jjnxFg8FYJlslfa8Jz3ewlwVdCxnIQGLuY8ymgR0WiaKvXYkr1jq1TPhTPaWEMKYc/y\nOE4dZO6QJ+hXms/6VllMd2MiJKiKN76Gd+7GQLAweCZ8Ljeab3JueZ5zUyZyMxdhk92N/sZWlIIU\nCTPZXMR2OhMgjKlsENgmnb19+kXA8O1fxBESfxzELwT+2Ij/Nf85UQLlc5kJ8Lo1muPUwajfy8Ud\nv6HgwCAsqwGLORsBWkQ0mqaKLyBuh4O1qqKObcxYXOpYCLbAUjkZUSY2AkaAh9Z0Ylk4jdTAmEou\nm9iq+JLDIf738vNcGi7HwEZQ3BR4C8PX90oAS8DG4CTD6dHqNj/8vrmQGaFrCYsBCDaKoWoD4BT/\nmb47fay1EEus5aFiYiv+891j7tqo6wOTzc+Ya40lRADEccd9J2sgLwxs4GLORoAWEY2mqdJnHLaR\ngh0WLBStMtrnAAAgAElEQVSfLP+CU09YwKARlaYrRBHPBeWKQTBkYyiFYSgM2xnLFLIq9996fum3\nzC/YzuBu7ZgyLB0B2qUFePKTjQxTvfleaoBU5aTqQnQ7ERuD961hnG3mYRBtJZhik2Fscs5BSMHi\nu2aOd657Ldc9RcyxWGGAygJTlbBU9fhi83P+LzyJGwLzMZRNjyW/o6zjQG6dUPXv+1jHqH6JRqM5\nVsjdXMzjH60nd3Mx9BzJ3CFPMMeaAMBU9SEnzb/ScXNVcf6jC9bFbcw444LBGIZipFqNWGGcSIDF\n2ECkUlwpFq7dyXmPfsKvX13Joq938+QnG3l+6be8nFvIvHzHqnAzrPLModhE3/RtDGZ3vJ0v5SRA\nol5zXUcj1VeYhCPvWWE1+OeD+IkVFJdYF5Z7LF7cI/a6cWMjCIONzSgEE0FZId5+4yXnz6IJo0VE\no2kiuBbEI++t5aqnlpC7uZi+p05gp9EFE5uAsglIuGIueZzzr5i5mEVf78aO1Fn4ffnFpUFsERZb\nJxMigI2JMlPJOG0SSiksW1i+qZg1O0qiritAhvUVkw/9j2FqHeAIyZ/LLiakUgmLwsLgXSub7wdn\n8Pvto1hin0yIFO+1VVZvx12F0N/YikmFK8kfFPfHN/yPbV8MI178w9trzOvxLJd4MRVnL4r51khC\nBAiLQYgAn4cHsWRj055mod1ZGk0TIV4Q+9YJ/Wj9vanI/FcRCVfMJY/DK3mFBK2Kr9tDerTnshG9\nvJug69JaER7AdfZveGRkCT2yzuVAbiE3qTdZok722n74GabWxc1aWm4N4Er711EpsS6uteK+Ntlc\nxClsjmsVQPXxj4PSknbqcCVXlf98F7+VEe9nLO76/wtPYo59FuuCPb19rw4M4ldNNKDuokVEo2ki\nJGrtPmjE2XDCmwlTfd0g+u6S8qjjXdu14L7XCwhZQoqpeOHGMb6uv6exA1ic+xEXf3kLBIJRAuFi\nKJjUbgMpZRVZS6ONNeRZlcXGxa212CttABigtjDV/NizOvw3cyuSheXNQJc4g6OAdsZhINpiiRfz\ncKkqLhL7UwSWWoP4s+XM2MuTAeRZA8hMb88MnwjrwLpGo2nUVNnaPcGkQX8QPWAoUkxF2BIMQ1Fc\nGvQsk6AlvJJXyJRh6QCs3VHC/W+u4kfyDpjBhAKRxTraB4uwcDokhgiwxD4ZiG+hADyX+iCphCIp\nwE4ZocKOio8oVeGi8uPqQGz6blRNRwKXVjwxgcTBdD/7aFNpH307t2bGawXYIvU/ObIRoUVEo0kC\nDTLLPA61ae3uBtHLQ87M8rAtnH1yVz78aieWLZUCwrtLyj3BMSIxkMXqZG4zAyDhKIEAn0jYblHg\nBOZa4zxLJbbeZLSxBoAUwphKEIGAEsJiIxiExUnpNRBnOBU4j6vItEoU40hUrR4vjTfemtjzJ5j5\nDLPWeZ9NgHn53gw/ykM2jy5Yx51nD2hyQqJFRKNpYBp0lnkd9rJk4x46tkrl/jdXeQICzjd7ASxb\nODWmfUeKqejcNs2LuYgIQuXYxQo10LvDRouEUxTod3U5wfPKAuTWWpgI4UhF++9C13CcOsgS+2TO\nNnK4KfAW/g5W8dJ5470Wuya2DqS6uhD/cyHSdV5BQCyvLUs8BPj0690s37S3yVkkWkQ0mgYk9tt+\nfbe/qI2F4xczQynsiBC4uJNoT43jZuo0cBwKyDa/ZoSsZrEvEO7GAJSCm07vG6kFWUd3tTvixhIE\n5cU4XPwCtFfaeD9fibQ2KbD7eMIBMFqtYYDa4tRh+NJ/Y+Mg8epB4rU1SRRkh8pCVMnFRUVfLqc6\nvqItS7zkAvecptj+RIuIRtNA+G/agnOTPtL2F37RAGpl4fizt0TEq61w95aaYtClbRr9zcpupifX\nDCALR1xSVZigVA6iI9C2ZQqXdd3Gffse9Nq1O8mvNr9N+Q/rgj0BojOybDcOEsQALCBEqnNDtgdw\nufEBv0+Z7YzAxcDAiutSinfjj7Ua3OPelqtI/Y13HX+Vuv/ahnIKIatKGohNmW4qaBHRaBoI/03b\nUDC2X+cj8onHusUmD0uPWxSYCH/VuQ0gYBqK60/vS9uWKd7N7S95gwnxapSbyRYYHREXE5sUKgfR\nBXh/1Q5O272clIAjQlak17upBCK9r6aYi0jBiZO8ZI0HIIUQZuQGHVCAhJwYiQ2/T5lNICIcYbGw\nMRGxUZHJ60aMeEjkf1FBdfe1BFlWVcVAYo/HipCFiS1SKSYUy5Ae7ZnxvaY3rEqLiEbTQMSm3N55\ntnPDffyj9TUOsPstD78oBcM2q7buJ2AatWrwN2VYOgVb97Ny637PImnbMoVbJ/Tz1mSNOZerFtmV\n6jcSxTD85Bfux1AV66xIPbOI7RwDz8oxxeZK84PIceVZR+5Nvw2HuDfwb8woy8PgA+tUOnCQEeZX\n0RZB5OdeuzWdjEPenuKl68ZzVVVyfxFtcSRiVvg8DtK6Uq1LLBk92jc5AQEtIhpNgxGbcgu1cz/F\nWh4zLhhMasCgPOQIyZeF+0kxFZeP7FXt0CP/tUxDRTKb4rtXFny1k/WROIef2CB6ohtm7Dog6vFU\n82NMcXpmOW4gixxrIKPMr3w3bOGWwJveNf2uo3PM3IqGjXFiH66AxEvNrbh6tHUSr4gxXrpw7HUt\nURykNf+0Lor7u/AzuHv7atcci2gR0WgaEH/K7eMfrfcsifKQzSt5hVXe+F/JK4wKyBeXBplxwWB+\nM2+l9005bAvdO7T0ru8Kwit5hawvKqE8bHPZiF5OzUfkvW0r4gYyFOP6dwGis7Y27jqYcE95ccSl\nJuv8j1+yxnOl+UFFYBrDq7Nwb9hmzI0bIsexvfOqqufwP3eJckkR/3yJec0fuI+XyWVjVOnC8lOw\nbX+N1h1raBHRaJLE6BM7ETAUQcvJino51yneiyckuZuLeTm30MueMg3lubT8N0dDKUoOh7js/xZj\nixAwDcKRrrouKwpXMrJPRwxDYUeKB91U3vdXF/Hxul0gQtgWDKWqdd/UFbcSvcDuQ7mZSoqEEAzu\nDV3rdeZ18d+4/cRzX/nXu8f98ZBEjROJWe9ev9JaQFAopNJ7zwqfV6ULK3bvTREtIhpNkhjeuyNT\ns3vy/NJvnZu4lTgYvmTjHsJWpE06MDW7p7cuLSXSkt1QXDC0GzMXbfREIxi24773sk2JO8n6zxER\nTMMpJKxPLYmtTvfXfQCcwYrI+zvr37Oy2SgnMMZYTbmkkqZCDDE2EPBVqrvzTWwqOsnGi2/4U4Ht\nyK3cnTvib9LoX1spZuJb7147HHFl1QQ3EaIpokVEo0kik4el80peYaX+VrF0bJVa0XkW2FVS7lWQ\nTx6W7vW5euPL7XHbf9QVAfof34aQLazfmditVVNc66O72l1pGuI/rYs8cUkjCFTcnHfTnusC73mi\n80z4XLKMDV7Q3UJ5VesmiSvR3eMWBjnWALqr3fQ0dld83lpkZfmxBEKk1MiV1e/4NvxwbN8m20Mr\nqSKilJoIPIbz5/6UiDwU8/pVwC9x/p6UALeIyIpk7lGjaUiq7G/lI9Z//t7qIhZG3E6hiDvMrfGo\nb2JbudeGYb5Kd8CzPiyMuP2z3Kp2N85hRSrUgSjRGWxsxqYiVmJA1HO/eFgx1oYNLLIGc4a50luT\nKFjufy32uJ8Ndg/uDt9QI1fWN7sPct/rBYTtptlDK2kiopQygceBc4BCYLlS6nURWe1b9g0wXkSK\nlVLnATOBUcnao0aTDGL7W8VWneduLmbV1spB2FDYjhIN93E8MUk1VVRb92QQ67J6xRoX1fZkjjWB\nbdI5YdqwWzcy1xrHALUFMVWk7UmA+dZITjNWY4ib7itR3Xv9omBEKvH9QvsdsyBqXbwiw0Rt5ON1\n/O1tFDFAbak2Uw3AssFGdMV6PTASWC8iGwGUUnOAiwBPRETkc9/6JUDTdCJqGhX+zKTi0mBS52HH\nS+N1e1r5iScUCkgxFWcMPJ4PIk0TXUaf2IlFX+9uEEslEf5eWUpCdGZ/VF1JvJYg8dKGh6l1/Dbl\nPxjY2Bj8LnQN66QnuVZ/RpprIz2+FKavs6+/JbyiIsPKLV4MR+7+sWIQa3V4IoMTc/HjBu9VJC3Z\nqaKXSjGe2M+YYjop1ZYtumL9COkBbPE9L6RqK+NHwPwG3ZGm2eO/ibs3ibSU5LkcYtN4X1z+bVRT\nxD6dWjFx8Aks3riHFYXR1omh4L4LMyguDbJgTVHUa598vZtks8Q+GQsDU2wMhAlmPr8NTYsKoP/Y\nfC3uACp/CrArRk4nXyHD2MTvzGdJJQw4abU51gBGmV955xRJR45XxQTiWA1uE8dF1kDOMFcmrPlw\nxUjcfCyfAocx+MAaxgQzH1NsBIWBHanED0UJir8dzCnd2vL7i4c4v58kdHE+GjTKwLpSagKOiJye\n4PUbgRsBevXqlcSdaZoa/ipwIKkuh9g0XqWgYNuBKOth855Snv58E3YcP4sl8NHanZzUuXWt03IV\nkBpQlIedE4fFdO2tC3kyIKoGxBS7UgA9drphPGIr48GJj7g3fkNs9tGGIAECYhHG5O/hyfw25T+4\n3X/tSA3HzPD5XjX5aGMN36HAazPvx30eqa8HnNhKjj2Q9dLDs6KGWRUDs36b8h9SJBxJ/7UJRFq7\n+NvBpHds5f09amri4ZJMEdkK9PQ9T48ci0IpNRR4CjhPROIOJxaRmTjxErKzs5Pr+NU0Kbx+Um6P\nK6puklcfc0Hca2zbd5iQL712cPf2fBljbQiJ03YBFqwu4v067EEgSkBqeoOvjrnWOKc3VkxrlHiz\nQxIVLcareJ9qfkyqOJaIwpnf8a/wRAYbm5lvjWSOfRaE4DJzIRnGN5GBVgYL7OyKz2JDGBMVuQ44\n1pzrCosNthsirJce/Cb8o6i9uft2x+C6ghKvHUzOpr3kbi5usgICyRWR5UB/pVRfHPG4HLjSv0Ap\n1QuYC1wjIuuSuDdNM8WfLVVdTKQuc0HiBc0r2rFHxznGnNiJNTtKqhSN2NiIcORWRG1u8NWRqDVK\nTfpuxX4O/x6uCP6GewP/YaixATMSk7ghMB+FMNJYCyH4bcp/SCPoi4dU7qqrcDO2HKVwA/TO44q9\nuLGVqebHUS3pE7nh/HPV/Wv2loa49InPOeeUrtw0/qQmKSZJExERCSulbgPexUnxfVpEVimlbo68\n/iQwA+gE/FM5XwfCIpKdrD1qmic1nQbod31V5fKKHfzkD5rPL9juxTyiK8/hQHmYS4ens76ohG/3\nlrLjQHmla8dmENWHFVGTG3xtiNcapbq+W9V9jjwZwO/D1zhrJBQJnluYCpAw55nL4qQKR3+WyeYi\nUiLNHFWMPyt27oh7LCAWf0h52nFzkuKN8I39HFW1gxEiKdprd/LCjWOanJAkNSYiIm8Db8cce9L3\n+Hrg+mTuSXPsUp8jZ2tyrdiuvPFcXrGDn9zK72DY9uZtC477JGA65dKW5TRFfDm3sFIar5/YludQ\nP1ZETRsrHinxbrTxixFD/CTwCo+Fp1Tay8fWUM4283A6bhGVAjzSWFspVbiqz5Kox9bXdg96G0WY\nYmH6Gj0ioahW9rUV7ZAlTS69FxppYF2jqY76HDlb02vVpFAwOlDvtBBxWpxXCIp/tsjaHSXML9hO\nyxST91cXVRIQVzjMSIsT/9xuqD8roqaNFesT/7ApC9ObgmgijDUKGJm61vvmP9lcxFTzYwJY3lRD\nW2ClfSK/D18D4E1ETCQec61xzjUkHFVjgu9xCJO7wzcwQG3hjsCrnKD2RjWKBOos2oZyOhE0NbSI\naI5Jaupaqo6ajq/1Wyr+2Rux+K0V0zQ4Y0AXOrdNo11agKc+/QYr0uTwvIxuAJ67CyrXgQQMxf0X\nZXhxmrl5hZXeL1lWRH0zTK2LGjaFWMyxzqSn2slYo8DLdHK/+UfHOipiFqcYmxmgtjiZUlTUo8Qj\nTwZwRfA3TDYX8X1zIQEsL4OrnToMOCN53ddTsICKtin3hq5lnfRkirmo1qKtcAL4972xioEntG1S\n1ogWEc0xSU1cS1C1m6qm42trY/W41srcvEJeytnCgjVFBEznG3Y4kkds2cKM1wo4c9DxUenFsVx/\nel+uHNXL28OLy7+Nuy6fAdjdRpBfWLnKvbEy2liD4SsWFAzv5j8ydW2l9F5/rMOt0XDTiN14SE0z\nv0bLGgzEa+B4kNb8OXylF5dJJeRZO+BaPH1ZJz3rLNruH3EwbDO3mhEAxxpaRDSNgtrGNxK5lhLN\nIA+YBpcOT49qvV7T8bW1tXqG9+7odOG1xTsnNqMqbAsfrClCJeq1AazafsBLD3WuF//9RGDD7kPx\nX6yC+qgNqStL7JMJkhLVDt7dQ2x6r/vN3411FNh9vBqN2HiI3zqI/Xzu873SJq4LcLSxhlRCXh2J\nvxX8UGMjz6U+6MVAjsT119RqErSIaI46dY1vxOtB5b/OFN8M8mDY5oWl3zI3r9C7frzxtfF6WnVs\nlep9a1WKGrWt8F/bMBShOH2sRGB47w4sT9CmfdHXu/l8w266tWvBwfJw3DXg3JRKyhK/Ho/6rA2p\nC1V9o4+9ScebkhjbZiQ2xTZe63m/yytem5K90gbDNzNkqT2INEIMNTZiKiHlCNKfTQNs22mBMqWJ\ntYTXIqI56tRHfCNebEPAGyfrNuTzTxSsKlDuFySomGERtmHtjpIqGyhCtFtr6cY9rN9V2VIwTMUX\nW/ZV+bksGwr3ldXqd1ET6rM2pK7UdkpiVcKXqHWK+/liXV5uJb2f49RBLBQBJYRF8YmdyRL75Eha\ncd0SFwzggUuGMPCEtrrtiUbTUNQ0vpGIRLGNKcMc99XcvEJeXP4tYaeZbNREQfe/3M3F3PPqSgSY\nMiy9UjsUP/MLtnPlqF7kbi7mlbxCXs4tJGzFt6JeytmSsJvu4G7tKlWoJ4v6rg1JBpMjAXYjUhtS\nlfDFfr5ELq/K56RErTnSxAXXA1nTWqRjES0imqNOTWdsJMJ/w1fAkPT2zPje4Eo9ixJNFHx+6bfc\n+1qB1wX35Zwt3HdhBoZScXtWnZfRzRMuf7PEUNixctzPsWTjnrhuLICAAdv2Ha5X/3ht5osca1ld\nw9Q6ppofe+NxrWpmm8f7fImqyqs6xz1+JFbab+atpGDb/oSjkI91tIhoGgVH8k0tdnZ5vKFKiSYK\n5m4uZoZPQMApCisuDXL/RRlOgaDtZOp0aZvGgK5tmV+wnYVrd3qWDzg3cLdg0LVKZlwwmJQ4cz0U\njlts18FgnT5vPNqmmVi2UBpK3DIllqNRG1JXRhtrvNbvlihessZXK3yxn68mn7chfie2OF9U/PG4\npoQWEU2DEK9nVEP5hGs6u3zKsHTPXeXP0LJifFamgbfPgSe09VxWRQfKo1qRGMr5L2AopmY7vUVf\nWPatF8gvLg1y34UZ/Gbeyii3WENk55SUWw1w1cZDrHsqUS1IY6Ys1PQGUoEWEU0DkGjQUn1Ulyci\nnqWRqIfVlGHpUa+ZhvJqOAAuG9EryhW2ZOMewlbldiS2OAJy34UZXDmqF88v/dYTC1tgRSRoXp8z\n0JsrNem9VVPX3NFMbdYV6xpNDYjNtppfsL1W2Vd1sVpi4ypQUSPithyBiriF26cqJWBw/el9eerT\nb7BtITXFYHIkBdPdR8nhECrB+9q24/rK3VzM/ILtUa+9t7oowVmaupDI1VSbdOV4a6FyQ8WGQAHF\npfXnwmwsaBHR1Dux2VbnZXRj+aa9Ncq+OpKeWP64yuMfra/IrvIFx03TYHdJuZe6GwzblJSHefGm\nMczNqxgQFS9wHg/DUHRslcoVsyrSgavDNJzU3XgEDMdy0dZLzalNunLs2iNpqFgb3ImZTW00LmgR\n0cShLpZA7Dmx2VaJ8uRjz5sbMy62rlaLK2R+EVDApcMrF3q5r7+SV0gwbPO/5Vu8liRV3cuVgvsv\nyvCC7DXlzEFdyd1czN5D0d9K27Yw6dmxFau3V04M0CSmNunKiaYmNlS9TMsUg3svGFzlnJpjHS0i\nzYiaiENdBy+539rNSNNAt+fTko3OcMp42VfxYicv5WzxbtymWXerJbaHlWWLVzsCThpvyBKvgtjv\ngrPFaUkSMI2qW7NHfr5fS7fVB2uK4loaJWWWFpA6UJt05XhTE+vSULGm9OnU2vu30FTRItJMqKk4\n1KV6fMnGPd43/nCkuSBQbTA9XuzEDXC7VkNV7x17/lxfjYa/kHByRCT84vnCjWMqHfP3sRJx3n/V\n1v2sSFAQaAk8vnB9rbOttKuq/qlNam5VbVXq25U1rAlaHrFoEWkm1FQc6lI9PvrETlEZTrZIjYLp\nse81uFs7Fm/YA4iXRVXd+/rbrr+Us4WwLQRMg/EDunB82zQm+yrTY9m27zCv5BWydkcJC9fujCos\nFGB3STld27UAKkQktqBva/Hhan8/QKTKuqKCWdN4qO/aELfjcErASdJoyPT2xoAWkWZCTcWhLtXj\nw3t3rCjME0cAahpMd2s3Mrq35/43V2HZziCnGRcMrva9/Xvduu8wc3w1Gq6L6aXcQl64YbQ3/Om8\njG4MPKFttYFwd6SpWwviWg9VNN0FoEfHlpWEJSu9Pd8f0Yv5BdtZvW0/ew6FqvxcmmOb0/t1ZtSJ\nnSplCTZUevvRRotIM6E24lCX6vErR/WqFDyvqulcrHsN8ALZIlLjVEj3unPzCglEuuX67/GhsM3/\nfbzBS7dd9PVuzj2la40D4bGup+pcUfEsky+37mfltpUJM7I0TYtP1+/mJ5GO0P4swSMZntaY0SLS\njGjoJnCx16/q/WLdawrq1ITRL0YB02BEnw4s87VWN01F0YHoLrh538Zvvd5Q2G4LYU2zwBY8sTjS\n5qLHAlpENLWmPny8sf+4Jg9LjxsAr24fjy5Y54mRZdmU+ywMBQzr2aFSKu2eBD2rVOQ/bTBojhS3\nMn14747MuGCw50ptalYIaBFp1tS1HqQ6H29NrpvIvVbbfbhZYQonJXjVtooguGGoKKsEouMb8VCG\nQtmCYahKPbVOaJdG0YHyqosPFRzXJpXdJU2vMllTcz5au9MbF+BmKS7ftLfJzVcHLSLHHPWV6ZFI\nDKq7fnVZXrHupdiRtH6qcnfF24f/mLsPr5BQwRkDurBgTUXNRvsWAfaWxgSxpQohUXjCESsgADtL\nqhYQFbm+FhDNN5FxxfUxcK2x0+xF5LTTTuPzzz9v0PeYPXs2OTk5/OMf/6jT+QsXLuThhx/md4//\np94yPeL95YbqM0mq8vHGupdiR9K671udAMYTIjd7y1+YGDXvQ6Bz2zSvJTzAvsPRAqKA1BSDiYNP\n4LX8bZUEoaqsK6g+qB4b+shMb89lI3qxcO1O3l9dpMMizYhNuw+Su7lYx0SaAw0tIPVJ7I3/s6+L\n6i0m0bFVaqXxsvG+NSVyQ8VzL7k3VbcQ0G0rEk+g4lkZfiEyDUcwbIFgyClMjG2cOGVYOgp4bum3\nQMVN31BwYWZ3+ndt63X0VcqpOB/QtS1ri0oapADQda198vUuLSDNDNt2/r3eOqHfEQ1cOxYwql/S\ntGnTpo33+E9/+hNDhgwhMzOTu+++G4D8/HxGjx7N0KFDueSSSygudnzsf//73znllFMYOnQol19+\nOQDLli1jzJgxnHrqqZx22mmsXbvWu/a2bduYOHEi/fv356677vKOv/fee4wZM4Zhw4YxdepUDh48\nCMA777zDoEGDGDZsGHPnzgWcG/+Bz55nz5uPsO2/03nr7/dQVlbGddddx5AhQzj11FP56KOPAMf6\nmTx5MqeNP4vj0/vwg5vviPrcrhj87NyBXqv2z9bvjhovG+9bUyJ3l9+9ZABD09uTaipM5VxLIK7l\n417zqqeW8Mh7a7nqqSWUHA5Vmr9h24KhlBf4/vTr3cxevIn7L8rg598d6InS4O7tK+1ZBFqlBbh1\nQj+KS4PePkTgcMhqsArysA0vLv+2Vn21NMcu6R1aeI9tooPrt07o1yQFBLQl4jF//nxee+01li5d\nSqtWrdi7dy8AP/jBD/h//+//MX78eGbMmMHvfvc7Hn30UR566CG++eYb0tLS2LfPmRsxaNAgFi1a\nRCAQYMGCBfz617/mlVdeARwx+uKLL0hLS2PgwIHcfvvttGzZkgceeIAFCxbQunVr/vSnP/HXv/6V\nu+66ixtuuIEPP/yQfv36cdlllwF4LTzeeXsFLyxYwNiB3XnkkUdQSrFy5Uq++uorzj33XNatWwfA\nspw8Wl72MK1Gmrww8yYum3YDk8YM8T6zG5Pw57IbCsb268ydkTx3P/F6XbmN5WItmxnfGwxUuK/A\nqeWIZ9bHWlirth+IqgxXQMBUZPXswPJIoNwVpeLSILdO6Efu5mIe/2g9W/cdrlRVLsCLy7eQ0b29\nt89gyMYGNu8pPaK/N9Wxcut+3eakmdCtQ0u27S/z/h01xbbv8UiqiCilJgKPASbwlIg8FPP6IOAZ\nYBhwj4g8nKy9LViwgOuuu45WrVoBcNxxx7F//3727dvH+PHjAZg2bRpTp04FYOjQoVx11VVcfPHF\nXHzxxQDs37+fadOm8fXXX6OUIhSq8MmfddZZtG/vfEs+5ZRT2Lx5M/v27WP16tWMHTsWgGAwyJgx\nY/jqq6/o27cv/fv3B+Dqq69m5syZAHTv0JIfXTWVsQO7A/Dpp59y++23A3CoZVdSO3Rl3sIcAHoP\nGcX2QEsQSOnciw+Wr4oSEZdYAYgnIEAlN5O/Qv2560dXm22VyKyP1zreP5/cFYXYTCsRWLh2Jyu2\n7GPh2p1ey5MUM5JZ5ZsjYkV6er140xieu340jy5Yx2frd3tz2au7zxvKyfayLGdUbjxhiBew1wLS\nfMjfso9AJKuvqcY/4pE0EVFKmcDjwDlAIbBcKfW6iKz2LdsL3AFcnKx91ZW33nqLTz75hDfeeIM/\n/OEPrFy5knvvvZcJEybw6quvsmnTJs444wxvfVpamvfYNE3C4TAiwjnnnMMLL7wQde38/Pwq37t1\n658jeg8AABWaSURBVNaVjrlWQmFxKXfP/ZJrBwg9OrdjT+TmbBgGA4+vfB7UvJrdf7N3Bz354ydV\nmex+Nxg48z78jRJjB0rZvruvgCcofgQ8y8QlFLYZmt6eru1aUFwajHrdssXb551nD/DaspjVdOsF\nRwwGHd+GvYeCFPlG5LooYGDXtnHnu8diKMju3ZHysE3fzq3jBvk1xx5hS7hyVC+6d2jZZOMf8Uim\nJTISWC8iGwGUUnOAiwBPRERkJ7BTKTUpifsC4JxzzuH+++/nqquu8txZxx13HB07dmTRokWMGzeO\n//znP4wfPx7bttmyZQsTJkzg9NNPZ86cORw8eJD9+/fTo0cPwIlJVMfo0aO59dZbWb9+Pf369ePQ\noUNs3bqVQYMGsWnTJjZs2MBJJ51USWT8jBs3jueee45hV/fi0M4thA/swmjfnQ271nJ82zTv5jxn\nWcWwpnh/wWtSze6/2bsBan9gPtG1Y7OtECFsS1SAPXaglP+maqhIXKQGd1oBvizcj/iaJvpf27rv\nMLmbiysJ1/urdvDkJxurvHZVbdoFWFtUszbuZ53clVk/yPaeF2zdz/pdh2p0rqbxYprKa/jZnEim\niPQAtvieFwKjkvj+VTJx4kTy8/PJzs4mNTWV888/nwcffJBnn32Wm2++mdLSUk488USeeeYZLMvi\n6quvZv/+/YgId9xxBx06dOCuu+5i2rRpPPDAA0yaVL0OdunShdmzZ3PFFVdQXu58u33ggQcYMGAA\nM2fOZNKkSbRq1Ypx48ZRUhL/BvXjH/+YW265hb/dciG79pVz/KSfktoijZPat2H3oQpxmPMA/OGt\n1QTSjSNKD/bf7N3eWLEzzGOvHRvzgEhMI2Tz6IJ1ldxnXtwibGMoFcnC2ljRBDGyLpGmVKU1zy/9\nlpdztvDCjWOiPsvw3h355OtdUUJx8gltWefL3KpOw2JFzu3cGzAVNmBZgmkqurRN84Ts+aXfsqEa\nAVFAy1SD0qAO0Ddmzhx4fLMTEAAl1SXH19cbKXUpMFFEro88vwYYJSK3xVl7H3AwUUxEKXUjcCNA\nr169hm/evLnB9n0sUVWh4OMfreeR99ZiC5gKfnbuQG6d0K/W14nH4x+t5+F313qZWT//bvS1XUvE\ndR0hQtgSbJwbbU1Sft29J8KMdNe1qYhxVBXr6NelNaNO7BT1zfHXr67k+Uh6MDhNJd2BVSWHQ9Va\nKrH7uWHciRwoD7M7UqSowIvduIkJM14r8FroV3UtI9JcsjFRk1hScyI1YPDCDcdOl16lVK6IZFe/\nsmqSaYlsBXr6nqdHjtUaEZkJzATIzs7Wf48jVOWSqmnRU7xKdqi6SLBjq1TvZuJPbXSvt2TjnqhM\nrrU7Spj5yQY27ylNWMkb+1liR936CUSmKRaXBunYKjXq59dFJczL31bpnPW7DrF+1yGvVfzw3h2Z\nMiy90sRDf5fgEX06UlwaYuOug9W61myBpz/7JiqeYwBEgu/uEK54lfGVroVjxTQ2qtqRaSguG9GT\nLzYX1yhO1BQIW02zIr06kikiy4H+Sqm+OOJxOXBlEt+/WVNV8DxhoV/I5v43VrFm+4FKMQw/xaVB\nLzPJn9qYSJBc15druZimERWrSLT3+99YFXfK4PWn9004gjR3czGlQYucTXsrt0Ch8kTE2ImHuZuL\nuXzmYk8IXIsnlljrxxUP/1IbJy3RrZ05L6MbS7/ZW20dSW2cBQEDLhvRi7ZpAd5ZtYNNDZzCHA8F\nXDaiJ1OGpbPMVw/U1DGUajYZWX6SJiIiElZK3Qa8i/Nv6WkRWaWUujny+pNKqROAHKAdYCul7gRO\nEZEDydpnU8b9du/WVMQbmjPjgsFRdRT+m3ZNJhT6BSFRaxV/TcqQHu1Zs/0ALyz9lv8t3xI1nz12\n75eN6EXB1pX4v5QbQNuWKXE/b+7mYq6Y5bjRAqbCoHKH3oCpvImIrtD5XXFz8wqj3EhWxB1oRxRj\nRO+OXHxqumf1LNm4h10Hy0Hwpj36jY2zTu5KZs8OnkgVbNsf5UJzyUxvT8G2AzWyVPxYtiNgd5/v\nzAqvjQuurvTr0pqykMW2fWUIzudulxbgipmLvRY0TRX3S4URsYabmxUCSa4TEZG3gbdjjj3pe7wD\nx82laSBirYPJw9KjbvTFpcFKdRTgfLtM5AZzLYW5eYW8lLOFOf+/vXMNkuK67vjvzC6LBFrECgwL\nrAQISRiQKlULQYoqFcUvlaBsI5s4flXFjhLLSmL7g52KSYgTlVX54KRSqUrKZUVKVFZclpLI+CGr\njK2gyJHsGIVHSTwikBBmEa9dActDLAF25+ZDd8/29HbP9vQ8d/b/q9pi6LnTfc/2zv33ufecc//H\nq5cVCFJ0Ci0sOEBhoAn2Z4+rdBpUQw0GKcMVtiB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VKsAoRI3xo7P+ARgC9jnnvt7gLglR\nNSQiQgghMqM1ESGEEJmRiAghhMiMREQIIURmJCJCCCEyIxERQgiRGYmIEEKIzEhEhBBCZEYiIoQQ\nIjMSESGEEJn5fyTKRyjkDmCUAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "w6 = boo.wl(q6m)\n", "for label, subset in zip(['other', 'surface', 'crystal'], [np.bitwise_not(xpos|surf), surf, xpos]):\n", " plt.plot(w6[inside2&subset], Q6[inside2&subset], '.', label=label)\n", "\n", "plt.xlabel('$w_6$')\n", "plt.ylabel('$Q_6$')\n", "plt.xlim(-0.055, 0.01)\n", "plt.ylim(0,0.6)\n", "plt.text(-0.002626, 0.5745, 'FCC')\n", "plt.text(-0.00149, 0.4848, 'HCP')\n", "plt.text(-0.05213, 0.1, 'icosahedron')\n", "plt.legend(loc='upper left')" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/mathieu/anaconda3/lib/python3.5/site-packages/matplotlib/contour.py:1518: UserWarning: Log scale: values of z <= 0 have been masked\n", " warnings.warn('Log scale: values of z <= 0 have been masked')\n" ] }, { "data": { "image/png": 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JI1prOxdfqKoTk5xfVT+b5IbW2mUjHOfrSQ5b8vzQwWvLaq1dUlU/VlUHtNb+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\nQCcETwAAAAB0QvAEAAAAQCf+L1WlcPm+Gi0RAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(20,6))\n", "for i, label, subset in zip(range(3), ['other', 'surface', 'crystal'], [np.bitwise_not(xpos|surf), surf, xpos]):\n", " plt.subplot(1,3,i+1)\n", " H, xedges, yedges = np.histogram2d(Q6[inside&subset], w6[inside&subset], range=[[0, 0.6], [-0.055, 0.01]], bins=(50, 50))\n", " plt.contourf(H, locator=ticker.LogLocator(), origin='lower', extent=(-0.055, 0.01, 0, 0.6))\n", " plt.title(label)\n", " plt.xlabel('$w_6$')\n", " plt.ylabel('$Q_6$')\n", " plt.xlim(-0.055, 0.01)\n", " plt.ylim(0,0.6)\n", " plt.text(-0.002626, 0.5745, 'FCC')\n", " plt.text(-0.00149, 0.4848, 'HCP')\n", " plt.text(0.0034, 0.6285, 'BCC')\n", " plt.text(-0.05213, 0.35, 'icosahedron')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Icosahedral order seems to be dominant here." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Bgrauri5p/vz5gwsLC/UjRowwfvPNN8dFUWT79u1+S5cujTMajWJISIj9s88+K0tISLCN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\nLV7rZOwgBhAZZOC7AyUeq1xAM6iLduS7NAS1xQ0jE/loqyb1ZdR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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ico = w6 < -0.028\n", "icon = np.zeros(len(pos), bool)\n", "icon[ngbs[ico].ravel()] = True\n", "icon[ico] = False\n", "z0 = 100\n", "sl = (pos[:,-1] > z0 - radius) & (pos[:,-1] < z0 + radius)\n", "markersize = 4*np.maximum(0, (radius**2 - (pos[:,-1]-z0)**2))\n", "for label, subset in zip(\n", " ['other', 'surface', 'crystal', 'icosahedron', \"ico surf\"], \n", " [np.bitwise_not(xpos|surf|ico|icon), surf, xpos, ico, icon]\n", "):\n", " plt.scatter(pos[sl&subset,0], pos[sl&subset,1], s=markersize[sl&subset], marker='o', label=label)\n", "\n", "plt.xlim(0,L)\n", "plt.ylim(0,L)\n", "plt.axes().set_aspect('equal', 'box')\n", "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spatial correlation\n", "\n", "Not implemented in periodic boundary conditions. Using Fourier space should be much faster." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To average the results on different frames, it is better to sum the outputs of `gG_l` and perform the divisions at the end." ] }, { "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": "3.5.3" } }, "nbformat": 4, "nbformat_minor": 2 }