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"source": [
"# Chapter 5. Sampling, periodicity and crystals"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Calculate an isosurface of caffeine at a low level, something like 0.5 electrons/$\\overset{\\circ}{\\text{A}}$$^3$. You may already have noticed that a slice is missing from one of the atoms. Look at the other side of the molecule, and you'll find the slice there (hanging in mid-air). Can you think of an explanation?."
]
},
{
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"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%%capture\n",
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"plt.rcParams[\"figure.figsize\"] = (8, 6)\n",
"\n",
"# add path to the Modules\n",
"import sys, os\n",
"sys.path.append(os.path.join(os.getcwd(), '..', 'src'))\n",
"\n",
"from Reconstruction import *\n",
"mlab.init_notebook('x3d')"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"cutoff = 2\n",
"step = 1./8\n",
"H, K, L = xyzgrid(cutoff, step)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"caf = Molecule('caffeine.pdb')\n",
"F = moltrans(caf, H,K,L)\n",
"\n",
"# Compute Gaussian window\n",
"sigma = 1\n",
"G = np.exp(-(H**2 + K**2 + L**2)/(2*sigma**2))\n",
"# Multiply the molecular transform with the window.\n",
"F = F*G\n",
"\n",
"rho = fft.fftshift(abs(fft.ifftn(F, [2**6, 2**6, 2**6])))\n",
"rhoScale = step**3 * np.prod(rho.shape)\n",
"rho = rho * rhoScale"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
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],
"text/plain": [
"<mayavi.modules.iso_surface.IsoSurface at 0x1293a2dd0>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"isosurface(rho, 0.5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Leave the three-dimensional stuff for now, and recreate the two-dimensional projection from the first exercise. Use a cut-off of 8 to get decently sharp atoms, and use **subplot** to display four projections created with the step sizes 1/8, 1/7, 1/6 and 1/5. <span style=\"color:blue\">What happens as you decrease the step size?</span> Look at an atom near an edge and follow it as the step size decreases."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def transform(mol, step, cutoff):\n",
" \"\"\"\n",
" Wrap up some of the commonly used commands.\n",
" \"\"\"\n",
" H, K, L = TwoD_grid(step, cutoff)\n",
" F = moltrans(mol, H,K,L)\n",
" rho = np.fliplr(fft.fftshift(abs(fft.ifftn(F, [2**10, 2**10]))))\n",
" \n",
" # rescale\n",
" rhoScale = step**3 * np.prod(rho.shape)\n",
" rho = rho * rhoScale\n",
" \n",
" return rho"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x12b1f08d0>"
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},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
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QG1Rbrrfzhdmq9dDXBy1fNXyzGhTJjruqXchTUZVkbZWQ+dBqTLEmXjZERRO3\nruy7B1fRuBs4kPO5TnIRWE9gJYHV3qz9nez4CfmLR8fD+a5B/stmrW9VanJuHyJ5K8R2uwH2C6yF\nBxqLTEpl8DobRSZXkpzAibzQEy1ri5wQuHnVxmt10xY3EUDy0aZ/QVnNt6oDpyy+rYikVSVyRdDa\nn9ay7XfIKgebrzXGv0XsJMoU2DLCVkUB9hGxsni2ogLXu4WiBAaByNOi8VhE4oS46d9VZJ2VC7Z8\nRpkCbGNvLUL99Sm1vqwMS+ZCLtIe4KD77gIOZz8Pk0+5qA0H88B8Aku95G5YsusLFS+211VFWfbd\n392RuZG8ebEXlra9Qijj9C6brEAyMAQyWGTwaPIm5G4FWCCfzmXF7iznadbq5sN2lAHR24uIW4jY\nVXUNgd/K5ktVt9mt657zPCzPa8TuocrzHCJtrchQG+Pmq3NYRCa2SuJ2UlnXBWItamq7JXChUJIy\ntLH5/mnS4bMkhaDvu14Xgu6/joUriiP2uVWFuHXjXjIZcRsGHgUGcHNt9+PWW4PCDZz351aH23fD\nYinH1vdH7peNQy+Tx6H7IEr3ziGStwZshbRVSaXfjRiusr/UpyVqDUNbwnRmFLn7VDav4AaNWOQs\nebNz8y2jyoOIu1SImz5vmSukyMIWEuAhwVzVVWpjU3SchmQ9FWWjFlkQoXHKmppZ1uTOCkB9nSHr\nW4x9i2gWrVjaQvs040bVxEyTOS0TtDXO91y3QuLKlLqdgg6L0AQuhKqZtJZk4PktqBp+0opyHFKA\nbVsd8ybPkRC3bjaI2wlgBDgFnMw+R8nJ2yx5Ut149g1wS8gb5N4dTZRFtraiFIfkbsLmkjvbh21/\nOpMk+fvATwBP417XXwV+Lk3TN0y7fwz8NRxv/grwN9I0HVfbO4FfBH4K59X+AvA30zR9b7v77NCs\n1tVKXIcvpgP2T8FJ7TrVbEwNPJmjr87muUq1PE1prAreMBefmOB0vJvsFIJPa7TrNar8n1WIW4jE\nWdLmc6Pa/tjikRp2Lr4iAhdyn4aex2iVu9+wf+Wo75VRFoZQ5Rg+Ygb5mAm5R6uQOLuP7UurFvsQ\ntkoaBT5S4AuXsGVByhS4IoUQiglcEYpiiEPtamzeT2eSduGsZomzso0AHwDOAWfgwNNLHBuepju5\nw1raydzSAEtTj8JrOGMd5IaE1T7y908bm61vFkVhKlXk7s5iJ1SLTwL/HHg5O/7/BPzHJEmeSdN0\nGSBJkp8UxRG8AAAgAElEQVQD/hbwMzhu/E+AL2Rt1rLj/BLwI8CfxU2b+SvAv8mOv41oxtq2U5qY\nFVitWklamWRZI2R5u6PaZFk+UmrITu8CjeFqDZXBJc5NfzRx06nvO41miZsmafa3LRxpCZytP1RX\n7eVaQ+nqeluVpIRofXtAsM/kaBVLW6jifRXYdnacQKOHAKqTuGb6YY9nsXNFVxvPEVL0tVyQ34n5\naPjuXch1a2P0CLS1+4Xc5vZYIZkr26zMbcdll7Y71eQoMIojbp9IOXr2Tc4lVxhlwpWpSjp4t+84\nbz49ypXBD1LnUGMM3MwBckuefvf4CDD4vSUhq+buF03fdjaSpunn9O8kSf4y8B5wAfhytvrvAD+f\npunvZG1+BpeT+GeA30yS5BDwV4E/n6bpH2Vt/grw3SRJPpKm6Uvb09uqA7rKbZI2ZW7TqgH1ep/t\nzg4Cf3CsjsuwPtA7pm17Y8ystbzpbyAnbmKGk3o81k3qu1bfnKZFWlEZqhC3NrOsiZt1m4bInIb8\nj5qIWSHgI3DSh1Dlb8xytL49CNg/crQV0mblarNeCl3vUH5rebUVElcFRQSt2eSkZmBli9w3bbEX\n+WdLXmgZGjIE+LLXfetsn5pB6FmwHgxZF7LkGjLXh7O8jQJPw+MfeJ3zvMpH+AZnuEY/86zRwZuM\n8gZnqA2u843zn3Ilq6bI64yu6vur4/6KCHAVYrb78nU3nPr9uCfrJkCSJE/gOPQXpUGapreTJHkR\neAH4TeBi1jfd5lqSJG9nbbaBvDXrVvNt22pALpQTurJsK9jev1Gnpetjd7NZC1P3oDD5SRM3a3nT\n11QlwDMUaCsm8KJBZu9TUYybJWKauNn1Yt7X263FQGfXyr3wPT9yj0UblP2lj3X1HUpeiHgAscty\n9AB+uVLkGvONJ/27ynNqiZolclaxhO0lca1YD31uvyqwMkXkiCUQOnZKJzat4LdQ+uQ0bLa+hQic\nblsVRc+KJcO+WDdN2PQxu9wt6SO3vo0tc4ZrnOMKH+YbPMtrDN+8xZ3eAwx1vsdBFnmfft4+NcLM\n6JNuhh9Jalg9QC6/5VNmXSxKSqhac3P7saPkLUmSBGe2/3Kaplez1UdxT9yMaT6TbQOXT7KWpunt\ngjZbQNngKrotZfsWaW2hoEZfUK4P1r26ndCWHf3bp82h1mlTt89VKGRFfzfjIi0aEHbwWKJr+2T3\n1efQ67QQ8RE3TeA6st/d6mPvi1y7VFaX2kNFQkPHomj3qb6mKgHIGq3GskTsJfZGjobiNgVVSJte\nX7VIb5nFrT2wHrPN9qdMsSuKVbXHqgIrK2TftsBvUf6SPBxLOwBEOV5NyGVOojYKbLkhvd0XhiGy\nwt67rbxnQv970b201jr5JDmnzQjckeE5hniPx5jkFOMc+5NbMA19vfcYe36chbaDHOddBpM5Zvqf\ndPt12VOWyVDdz1a8OhLDfB8lLBj8KnAW+PgOn6cJtErcQvs14xIoc4cKUdiuuK+qGqDNusHz2zeo\ntSXImsd1LJePwEH1yX0FPpdhiJAU/SdlFgK97LuH1qzfzUYNIpl0WgQwQL0D1iVdXYofh/pnYy/s\ns1Alpi1a4h4w7AM5WkbQqr6kfc++VvR8Fjdb51DkpM/dZ7eh1lv5WzZOQvLTF8NV5VUqFnn921jr\nu4BenBiR4rOQxxfLNIXrEr9lY7SKSImN25J12oLf6vvH97/6npN2z7oiqGNmYrettk4nq3SwRme6\nltcPBboX79Jz+E62fTXsmW0JzRC5nZfBO0bekiT5F8DngE+mafqu2nQDd2XDNGqNw8Crqk1HkiSH\njNY4nG0rwO/hRoDGs7gox1aIW+jlXXaMkBUKtT2kFWpr3F5ZSkKxEmUPr696uM8d6lsngqSs3o79\nXdWiZAVMyEqgVV75rcmaXhbS9ghwwNUeEhO/PIYbM04ksNgL6zK1y21cETy5RnmhhOIvtPBo1XVq\nBdAVXGqWxgoR+wN7J0c/z4YisoGLOG8rNI4la7kuKlwdUlwsmdK/tcUNzzohdlqOlpGQZolbVXJW\nBdr61s7Gfe4n/+jis+AuQwLvZ7PlWwlO9kjpCy0DfXUzbR1JkZvyLrIEuBUUuZ1r5tsu+6Cegyxc\nenmpm4XegyxwkPmknxMD77uu98H8oT7m6WeBgyzTkyfWbas3M6RAvwJ8s2HN1762cyRuR8hbJnB+\nHPh0mqZv621pmr6ZJMkN4DPAt7P2h4BLuEwocHehnrX5fNbmDPAY8LXis/8wcMyzvlniVqZJhNr4\nEBJk2g0WInJVXaoWrQifEGzpijJY65vOKAU/cROUkRYtcKwgkmNbt4nvP/IRN62mFblLtcWtBzgC\nXYlzRJ3EvRqPkqeqy1RhU7hX5tQBWD1EbolMyeMB9XXItcg6X/ZTs65T2/5c9tF4F/i1wHEjdgt7\nK0d/AnjSrAuRNBljZYWri7wUlryF6lFq67u2zpWRkKpKcJmybolIs/FuYn0TOaKI29HscyL71gqg\nLj47hZMnkBE4KYFxV3375KhWcmXZ54aG8vjjKu5Ge267PbTNQFsd52HxxiDTp45znVMcZ5qOx9YY\nGJllOelhnDHGOcUkI0yvHHf3aT7bv2E+bR26sxXoe3oh++R44YUOPv/5v7HFc/ix7eQtSZJfBX4a\n+DFgKUmS4WzTrTRNRaX/JeAfJEkyjktx/3ncI/lbsBF4++vALyZJ8j7OPPHLwFdayzQtejiqBKja\n22S3N5tNZQNtYTORa9UaV5VQNouyWAgtbMtIphbmVVLRrbUpJKzl2M0QdSuM5ZjtbL7WmvoIcXsE\naokjbU9nn1PAGC47CvKika/jCkfWgIkEVh8hdyPrzFstfH2m+v2Z/RSxfdh7ORoKJ7DELURmfFa4\nMtnkU1CtwmctSVomhGLhdH/scYv6E8qctHHNRaEX0l7LE638JY57SRmMMZz8GMXJFInVkjmkJ3Ck\nbkId/pYE4XfhVwAFvvhBkTVW+S26L/r6WrVgVpFPmWxcaW+cR3v8AFdHz9LRtkob68wxQH8yzyqd\nTDDKOKe4wjluv37U3SchcMv6+kR+lsnR3UtAaBY7YXn7b3B36A/N+r8C/CuANE1/IUmSHuBf4h7F\nLwE/omoTAfxd3J391zjv/+8BP9t8d7ZC3IpS4H0V9asE5FoNJ5QxFSJxth9V0GxsRhE0kfJld8Hm\nFPeQ5UjHWEDY1A+5oNEBts1kSBVZTbVQtdO5aCIn/c1qD9EHHMgyoIDzwCfgwHNLnD56jWNMAzDH\nINfmT7P65SPuaRdN8i2JW5FEBrmnRbEVPjLr2xZxn2MfyVFLzIp+yzgpcqXqfezzauOyxCJnyxhZ\nK1woFi6UqNAMadPXofctit8ysWwb0GEX7Y5vDdIoQy7AI8++w0htkh7u0MY68/QzuTLC7ctH8wB8\nbZFal2oAIk99MwaEFGFoJG3NKL9VSFhZ+RC7DI3/d3vuvZgAXoObfSf56rPdzB/uZ5xTHGSRNTqY\nYZhJRvjetQ/AZeA68A5wi+wxEA+Hfs/Y908IrcjW+yhhIU3TSr1N0/QfAf+oYPsq8LezT4soewiL\nBqh9sOyL3q6HcreAJjKwua6XHkxVSFwr8F3HVqDjwKwbBcLuXu0W1C5An8CBxoBlfe5WMqR8/7Os\nE+EVsrrJcpZZKsJ3FLgIRz4zxcXaK3yIV3iCNwGY5jgv91/kS5/9JLdrR/MpXGaBpYM48maDr+U/\n1wS5jWIB0mrcW8R+w/6Ro7XAtw01sFY433YIv8h1LTNN2nyJBfal63Oj+kpoFMnQqnO0hoirrKtS\nxDdhwx8q8bFiub+Y8uRz3+E8lznFdfqZB2COAca7TnH50vO8XXva7TuffRaBOa1oWhJns9U16YXq\npC00T2lV2OdA1llI3yRDv9tNMn+DnLgCKzcG+ObTn+DqyZv09C2zttLB4mw/THW4MN7XcJ4OqfHG\nPXJZaysf6LqjQu4EltBVfQ/vhG1st46+pyi7tCJXqA1Wt/sUCSPfsa0QkXWWqOmXqiUmIRdaGar8\nxc0+BlaAQSPp0WQsxd9v7fb0Wd5spqVvgmB93rKYQJ9ltEgQ+6xudp8Dpv5QytnaVc7zKh/jK5zB\nzWQ0wSgA73UN8Y2nB+C19jyeZUnOIx97DXJ/tDat+wjNV/eOLtWIKgi9rC2RkzHoK1Stl2UcWYIj\nz65WWIW02ZhPTU4sGdEy0lrhYLMMLkKRYm7dpz6rnO94WtFN3JfIj0HgJBw+c4OzXOV5LvMMVxlg\njjbqvMtxDrLActLDzNgQq7NHnBVqCpWfJ/e6PXAPrMvU5wkqQzNuzxD0vQwdR/pYxxGunjzmT7ow\nD8wmrAwOsNKHM6pJQscE+f2ZzQ7DIpvDVELvjPXAcjPYWTn7AJO3qj57CFvcQoG5oXbS1nc+/QCE\nWH1IG/JZl8oscb6/tll3qw8+90cXuStRrW4D6gmsJ2q7aFOp+tZEzH7AL6jtfaiiOfr67xPEoWHR\nvrlNFxvkrW/0+5xinHNc4aPpizz6HZe/PvzMDAttB7nGGd58/Almjz7m9ukj05gFmoxpolYm6CIi\ndgKWrOgXt1ZiLFnTykhonYa2uok80Apv3bSFzbFd0EhGbDhKK8odhOUFBeutN8Luk20T0bkR85Zy\nqmucs1zlIt/gQ+k3GXx/kaQO7wxN0M0d5z7tH+H10SOO8Iklqg1Yt0YFX7kUuVafta2ofEqzcd1V\nUEY/pP/LQLuLfbtBnnl7A0fQtBtZZ+TeyD6L4Eo0yWdNHbvIVbqVSg/b8a4txgNK3sri3EJtfRa3\nkHWmyJUKjQ96URq8NvnjWaeJSatapO6/7mOItBYdQwt0+XQDB1xEjQwkCbTVcRmLSVbvTI4hZmt9\n7lDcm9UaZX2z90Ffi8DnOtWasq+NWp0J4e7eZQ6yQD/vM3BzyRVwWIdDR+7Sf3yegyzQw5383mx0\n28bFRETsNayctNPFybKPuNnvLtVWu1QF4rKSl6oIDXGdJaatdgO2q3U6FlbLC9hMVIpQFvNmFXcr\nIwQ2BMSsl1uzUYD2LoPMMcIko0wwNL4I0+6yTj5xk9knJjnGNEO8x/jgber9hxoL0K5rK76OBbSy\n0yq/tm8aPlLbbCH6KufRCJHsQ7DYrkov0Xj98tiIBW5eDnUHl6uzTGPtEO0qld8hwtZMVurOEzd4\nIMlbWcxB0UMT0jR98RtlafEWYgIGv4ZTlDkVSmqoAtsnK2h82nToOHq5HTdqMuJ2GKcJijbYr7ou\nA0myfm4J4bMp274Ud1sVXKBJHJSXHym7pnbzjWebBzLuVf2heR5h7kgvjw4tQR1uD7UzTz936OGO\nt/aQjbGIiNgvsAqNLIdCJvR3N7mMkNqGPkVFlLVl9UnI5YGVd7Z0kSYkRS5BGWPr5HKlSDYUhcNY\nme9zoVbEhlFynTbWaaPuCswKSUmAVehhmU7WaKNOW63eSHFqZKUw9DVZy6W+P7CZGBe5iovebRZy\nn63FNETsQu8d33uuG+rdrmbmLI2KcN18uIe7gcs4AieJYTrmTReNF8h7SV+D/Q5hd4gbPJDkbavu\nUh9xK0qLD1ngQueXB7hsIPi0pGZcAb6HSPfPR+hkPy2ArdlfuwSytv242kQjwOM4F8AguSlbxyBI\nadBbHeQETpM4C19dIp/maPetElxrBZIl6RWgtMDFiUe5/oGxbGqWWU6du04bdSZ4gquc5TqnmH3r\naB5Au6L777uWojIJERG7hZCCV2Rpk/F9MPsccJt6aZyqqA6sJO6zKlMLLGTHEiLnQxmB84WchOS0\nz1sC5RY4G1aj5UeZ/M2grUWLXa7wLI8wxyBPHJ9xZ6/D2jGYYYh5+lnkIKuLRgksDYXWVjj7HvFd\nr++9FrpPAkt49PuuyCWrIf+lzr7XkBi4TBlYsTI8VW3WcDfJJilocqbPq8/la9MK7qNs0/sHrRA3\n6x7QwszGG2hoYuHTJkLZUz4tUpOcrcZ5lQ1Gu03fl0yz7sIVpX0CeA6X6j4KtdHb9PTdYXWlg9WJ\nI67G2WXct4yfJUlvl0Hli9OQvtpgZWgUFkWuiyKELJNllshscK8kKoU94fLoeeiFBfoYYZIa60xz\nnFd5nlfmLsLljrz20C1oFCg+gaGDa6GY7EVEbCdCssXGhdoZA4S4HQIOQi1xM48cJJ+BxM4+smGd\nPwDrh2gcl0LgfOEUPheqZoatykjwy8eQvLAy1S5bZLJDiNsscCNh+kxefLZtYJ2BgVlq6TrTyXG+\ny1nGGWM6PQ5TXXmm6Wp2qYVKXkhZ17Bk1OdlClngtCy2XiadPazXhaAJnEbds81ei84e1R9hurrO\nm7a+6XNYuarj43x93Rs8ROQtdKllsR2arMn6EKkrMi3LQyOxGVoD0rWMrEVJp7/bGK+iARASRlab\nKtMW8bRLaKgMfgw3A9kLcOgzNzjTdY1TXOcgCyx0HWTi/Civjp5nteuI210E9pLcP7k2TcwEmpiF\nEj0s0Womfqyqdi0waeyLPTl5uwyLXUN8+dnPMnFqlCFmqLHODMO89dYp+HqHm41qHGd9W4HcuqAF\niw7a1igjadEyF7FT0LFu0BgXqsNHxPKWWdxk5pET5DMIiFUe8vgkmTmgC7ghVjhBmjXUiqu2ulkC\nV+Qylb5bhNykZda4IpkqyzoDVGRdHerteezWDWAcvjd6mv7H38+LzzIPCcwywFXO8i2e4503xpwM\neYe8+Ow6hM1wOh7QJr+FiKh9p/mInIYmPFaOJTSSN30fQtAeF7kmkbtiWfO90zV5k3NZkuZbp92n\nmsDp58bK370jbvBQkTcN34u+SmyHdimilvUDbrU1ax2SB8v3MMPmQFNN+OwDX/XvCw1Sn7XKukBC\n7WvuS8pkjALnl3m+61XOc5mzWZr7PP1c4wz0w9ef/QFXr2ci228WWO0in6zdp23Ze2Gtj9JnKI9j\nCSGkYRdBCUmp/C1zEc4eYGrqNFODT7nts8lGcUneBN4C5sDFZGjfhxZ8Ref1xZT4fkdEbBWWsIXc\ngfIRl2mPa5+VwGAs+z5FPvUTNJZ2EEJXx5GZ9Z7sxxqNL3AIl1cSBTfkMtV9boWsSTt7TCsj7X2z\nimn2WwffTwGvdXC1/ywcdrXd+lgAYJ5+F34xcxZez+TJ93H3b0kfs8zq5vsPQ4q8JWyawPviFrX8\n0u5r2a4NFFUIHGwmcb5tFkUEDrNsjyPL8n7xeTyKzr17eEjIW8iVFprmxBIxeZh9sWDygNttGtol\npslY6AHwPeD6t24XQkg4CXwuYh98gcmZtq3T3MfgmRNXucSLfIyvcYGXGVi6yXzvYY4z7apfnxrm\nzRsfcCRGXCerckyZ8UfImb7GkAtZ998ndAlsq5rcELondRzhzM6/2OMELzhBPE52jUm+Tl5QIqRX\nUlxsj05dt6Q0lMa+027Sh0QsRBSgKKTCKnhaLojLtD0nbk/jQiqehgPPLnFyeJL+xBWfnU/7mbk1\nxOprRxqTnFbIyuh0k1fFF9mgx4S2IlkluMhlauVjaAYI3/WHCIyVlT5ot1/qMvBFJkjx2RUpPnuW\ng4cXIYWF232sTBxxxO01nCwRJXARnCKo3zNVrPBlpM2+68pCSbTHwPfusu7HqgQONhMs3/9q3Z96\nnc+jcZfNBM+3L4RLfe0dHnIpba1udlk/wKHg3HbyVPhutU7gS4MXDUTDPhC+B9y6S6vEcti/uCjW\nz8ayhI7Tlq8SAjeYcoxpxhjnDK9z8spNeBe6h26xev4q1zjDcDLDm0fPQn+SW6lIyO+zrW8mfbKl\nU0KWNp/ALYo/FNiXQchSKdsFmesUHIGbwGnCkm1rXUMb6espcDv7iMvUEnx5VrSlNtRnH/aHgIl4\nGKCtTSoWVpO3D8ORC1M8V7vMGd5gIJtZfS4ZZLJ/hMsfP887tac2l3m4JfJVW998YzMkI0IoiuMq\nK7xeZNn3KcgW0tdlqPfklntwlzcPTEjx2QG3XiuAU8C7OOvkLOSZujp+1k66LvfG5/LV74HQe66K\nNyMhr+cpMixRH4FWvrWVDhrlaxGK2mmLqyZi1iJniZ1t7ztXmWdk9/AQkrciTUwvW7dhG7k1Tsd2\nyATlOh3eZ+m5g/vTF7J9RZvUbTQsWQvFcpShyAKnt1kCq0moJXxJvqg+NdbpYI1u7jhTfvbpYZke\n7tDBGtTqUGtv7AaweYDba4fGexISuEUEzqc9WbN4My5XCaTOBObKQRevA56MOtlnjdzitqw2asHr\ng7XUlgm7Vq1zD6FIiChBVSVRKbt9NLhMj1yY4mLtZV7ga5zjCsezeX+nOc44p2hL6ty52MP7N044\nciLFVW9pBVpqv1nLvPTRxgQXxbnZ4Hx9Dahtvn2roOyeyVi/62LfZrPVkrwgYRhWAZRp9WS5Dnn9\nMj1vp5xDI0TcrPdIXN/mfnSa5nJ7tO65ijmWeJpWaIT0rWx2mFbckz6XqCVlPjK33cRtZ2XpQyCp\nyyxJRcHpsk5rD5a4Hco+HW7VYRpf3Cs40/hib/aM1siL92hYwSPrdJ80kbEPUpGZv8j6ZoVYKB5C\n96GeL26kuSfM088MQ7zLcR57apakF9IhmGSEGYaZpx/m2z11znzn0+4Qn8XNCtyQENaWN0vedByi\nrCsS1KEsKJ3VlD0fK5r8ixa6rL6FuGmNWX/rZZ+byNe37UArL6qIhxe+mGCURR4YTRmtvclprvE8\nr3KBVzjx3k0A3hma5CALzPMIk7UR3h894Zk5QMcWW8t8SMmDYlKWsFlO2HW6vUYzipFPfnpQb88J\nqyRwWAVw0XwaauOJzLCEJNQnTdzkHWeLKWf3oZO8mHCX2qynWl5Rn9Xse9P7zHftRaFDPhTVi5Pt\n+jw+0uZb74tt26rFzYY5bS8eAvLWLHwmY7usidsRqB1wAucE7lu7zHQ20Sww10sjAQP/w9ZKCnxZ\nhqlA7xcqNlzhodPBthMwfnGMy23P08kaqwOd9A+8zwIHucIHucI5ri+eymu9SYr7RnyGz/Ll06b1\nNfkyojSJ9T3eepBaV6Umb0VCxUfg6jSSbX3/rCtU6g9ZwqaJm81y8llpQ67RMpfp3gfbRjyoqOVf\nZuaAYd5jhElOvnPTxYUCJ+o3WTg+yTAzDDIH/Xehr71xlpZ1O/Z9Vhu9PpRUgdluFfiQVT+ErbjQ\nbAxX5rlZTJxstLOwiKK8cTqZZF2sbctsJiQhaLOZDltpp4GAt2Xd6sX9j/KR/0ZgieVGNQGg7pPd\n4Dc+lBEojarkzpI2fcyqFrdm5GUoHm/7EckbUHwbLJmo4UzKklGVEbdRXCbVKDmBk/iFKZywkgd+\nrgM3CiQerkgjEQKjAzuL+msFT0iTDAXm+waar29ZnSI1x9zN105w5blzrNPGPP0cZIE79HCNM1zm\nPEvfeTQP2m8oUlvkLvQNhBBpEw3SulA1hKStqzZChoW8WTe17/qlXz4SJ23k+nQWVoiwWcKl6xDZ\nY9dVGx9i3beI3UbghVWDfOYAN3vARl2yBFhnY1vjPvZAMlatXNTL1l0akoPW95d4fks7HzTJ0Odo\npn6ZvhbIyVcWN70SIo86Q12UQJtJafvpuw6dZFIzy+TErQ/nTeo3H9/0h+LKXVSnWURN2yWyUP58\nX11P3e+qBMrec/0/+OLfQjFxvuPt39jhh4y8lbkEi/YzAV4cBHocURvDZVM9775ro7fpH5hnfb2N\n96eG4PV2eBlXoBbcw77UQ2MWFWy2QkG5lcVeT1kGVRmRs22KMi7bcxP/60Bfwmv1DzPx9ChXes9t\nkLfJlRFufesYfB34Do7Mbsw7p9VJG2BrB6XWlLWbV2dE+axwAkuiumiMNdMuGRE0vn6AP/upTHBD\no6VPEzhpowmd71y+5yFa0iL2GmI9UiEVGy92N3PAAgeZY5Cl49fpXXXP79KjB5hjYGP6OFZqufut\nYThpQuaLk9Jkzie/Qgqfb1lbpuR4uo5ZB40EQCtq+ty+cemTFXqdVgx9Lker8Gk5Ytvq374wIWiU\nm0r2d+NImri+pVbfMVxRdj0ZvJ4IfipbltOtk5E5fZ+FyMm1+lyhPqLluzYI32ffPtbaVqXt/sRD\nRt4s7CC3E9PbpAVZnyUodLFRJoMPw4EfWuLC0ZcZZYIhZliv1ZgcHeHy4+d5p+8p98CLlnI9ccfY\nGIwy8HXgvtYoy/zn25k9VfRYyIDLiiTOJ27AShfnExZfG+K7R4fy680KUPI6ru0Uqs6ZCCGxQhZl\nSGkBa13anliNTZCpSmzyx4pnn7v4XxLNukm0YPKZ6bXg1c8CZltVq1tZ//a3QIp4QNBQvyxh8szI\nxswBHV2rjDwzyTptTHOCa5xhnFNMpiMwlbh9dPyU1xIjKHOXhkib/LbERb8HrEywY1lb0bQMtzG6\ndsxpi6GPxC2r7XYfHeKxbtZXtbhrmSlEVSXabbi7s8/juBl0zgBjcGB0iSPDc7RRZ50a83P91CcO\nORnfR2PmrIiwVXDyV+61vm8hee2zkOl7QcG6kPtUH8ta6MpmQgrJVvu+3B3X6UNK3kKXrQdz0bbM\ndSo1zp4GPppy6ejX+Qxf5BmuMsIka3RynVP0J/N84eOdzK48lpOXG8CSFKjVViTr72/WJRAKvG02\nc8q6GTSkPwvAQVeEFvJMqX6ctrZB6HDXK3F/G+ntEiBRpDWG4vEKMqPaVDPNx0WYrApB1vvVTWO5\nTjmnJlU+2H7bwW+Fjxa+vvg7fb5U7ad/+85ThP3rAojYb/CRCh+0bFLxmitJPu4n4K3rZ+g4tUoH\na8zTzzAzAMwwzASjfIvzvP2903lM7Kbis3a+Xw2fkmVjeWtmWcsQG3ZR9FrUFnk9hnXYhVa4Mcsa\nZQShikWojNTo8A7fdWlSi7ttmrwdJZ/68OIaY6PfZYzrHGeabu6wRiczg0NcHxzj6smzpF29uUXO\nJjE0nM9nULBepyLXps9FXSSDq5C50HHLiHHo3u4sHlLy1iyslSobECod/tHTb3Oey3ycr/Bc+i2O\nToypBeAAACAASURBVN2CTjg+NO1ch8kIf/z0EFzuys3RSwfIhYiOBdDn1RY3bS3yZVyFXASyLoSi\nB9NXcFhjGerdrkSGaNpiUtcxETIP30aW1AKbaxOFiIiPuMkJOvLtNfKJr3XAs3TbCpQlcNqgWEAt\nRJjI/bEWNB9C2pnVkG0grSVuep21SLZqdWvWahgRUeXFVFefLPtRpo2bIitYfYA/WXmO5Q/0MMGo\nm/YJN3PANMf53lun4eUDzjr/Dip2Sif7hGLKbAC+wMoNsTDp2GVtxa+i2CbkFiTpj6Rd6rALTeB8\nx60yFsvIXZWEiTIrkEl8E9HaRU7exoDn7/Hc6Cu8wNd4nlcZZWKDvE0ywmXOc/DoAl+/+DGodeUx\ncDqJYaOMSC1wbXJ91vsg16G/MdtpYXvZvr42+weRvLWEWv6VaSn9yfsMM8MIkxybvOWEUCeMHJ7k\neOc0g8xyaHCe231HG0nFJuuYuOsgFwA6wF7He0knbNxGVfLmK51RFZp01HGZUu1uoGplVsv1Dfeo\nZEnpwptlFiSrLZvMKK0tSpCtrpO0EX9DXgS0hgqoFReG1aZ92qFgK9p0KNNJ/9bEsar7IIToLo3Y\nLthnSXsHarjx3e0s8lPk8m42YerGaaZOPsWBfmdWuzff6xQ/Cau4Rh5WsSLnsmPBp7zYcWqJWxMW\neytK9dDbmAReZEO7WharW+g+QdiK00q4QxV5LUSpzI2X5M2t5W0UHj91jYu8zH/GH/CJ9EscHb9F\nchPohblnX90oujx/sp/XFz+UFxPWivwqHuikBX1ftBJrZWYrLs6qVrjQ/mWwSo7c83tNHqc6Innb\nJqxTo04bq3S6ujgdQBest7VRx33W6yHrV6K+fVlU1pRvSZoN4A9NKqzhy8ipUf5Qo9r6gvZrUG+H\nes20v6s+oQwpPaisNVHWBYhbPzAAPJp9ywTYMuWOuHS1C/dGdtgNAteV9UHOIWTTXrv+LtP0bBt7\nrTauw8a06H2KiNv+1RAj7lfYl34otkxbmcT6tgArh/L4J4l9nQIGE+719bn1uq7ZBI0FejeVw6jq\n9q9K3NR1dJFb7dtxMlyTN221X0XFcVnZ7OujHptV5GvR/hplCreOydPHKXjti4jVBO7kPUaZ4BxX\n+Ej6dY79wS2XgDcH9MLA2ytc+txLvMtxrnGG6dHj3D56tDErtcFY4Tt/WdmjVmRgWRxc1TZVsbvu\n00jeWkI9/8pcgvPr/bzXNsw0xxgYnuVxZrlXg4naKO9y3GVZzR7OTcgbz1mZQNJxcNZVqsmZdguE\nSJw+p7hjtVUPGgeJdddqYe6LiZGHVwfc6uPZ+C7fgPTBxqMoaVAjFzKDuODaYzSWbRELmxC2cXVa\n+Wy4UEOp/BpFpFN+F7k3QtY23c4SN18GclVEq1vEVlFmvdHEQFnfFtvdmKuTZyXaqeNEsZKMxXnY\nTNwkrCSkNAnKXKXt5BY3cqKia5l1k88mIJdWp7GGmeQ4bSpGW1WJKnLflbWvCv2fWdldYolTBK69\nf4F+3meIGUZuzsIbwBXgPZyHoxcefWaRY09MM8AcBzsXGj1McmvKJlPwwudClevBsx6aj4cLtdnf\niOStEuzDnv3xG9lUcPP1E1z+wHkGmGOOQUaGJ1mjg3HGeIWLXEvPwHhHXiajocaZ72Wsg1xDyQhF\nAkra2Kh9aLT4aKub/pb+2Xpo+qHX2VK+bcv4B1kV0hbSYrSrgsZK7iPAs8AzcODCEqePXuMY03Rm\nQdKT6QjvvDUKX29vjMcTMr0K+X3Tbukia1roZVKWsAB+65pvHWx2KYSObRGJXsRW4XMJhbBsfh+E\n+R4nK/tw5GxjXmMawxmEFHEPFxOrQyt8lvoQbJkPbbGX+aeTXPHTmZUD5KEXuo863EJiucQyt2TP\nI/BZ7nX/qxAKQSvEQiugTbzqa+q7Bm21ejbF4TIHbuEsbnPAzaxbNyG55aZB7GQ1mwax6mmt90Hu\nmSVtOnnLF0ICzbtPQ20syhQFeyy5aB0Ctf14SMlbkXlTuyx925TVaL49t+R8PeGlvo+x+ngnV3mG\nYd5jnTYmGeHb6Tlm//gxuAy8hQrGLQrCJdBH6yKtkQukqgG4vpIZ2hpWNeg2RFg0qWs21kD298Fj\nddPkbQz4MBy+dINPdH2Ji7zMKa7Twx3mGODbyTmujH6QL3V9krTe21gVfIO8iUSWABgZgJpctRJM\nG7oPIQ2yqoAvEzz3lzYZsV9gS2LIMjTKJd/zJa5T9bve7eSlxJpaqxbgxsUyjVM+NUPcpJ9aNrab\n34a4CWkbxlnsT+BCLoTAQaNlUNy6s+QicR1lgdP3Siu9cn36Hvmup1UXqUXIZSrbCiypmhutwNpK\nJ3cOd7PAQe4egfYhYAgnFg+75XQIFjjIHXpYo6NkCkS7UmcSWyVV19erWjqkins01E5vq0Lqdr4k\nSAgPKXkTFAkma0USInMXV96jBvWBvEBtF1Dv4FvnX+BbJ89zeHCe9XobizcG4fUDjri9Tj7DwDrk\nZp+URlIQghFADUG3ngDcGo3mf4EQlboOupXAMN89smiFMFQVUlUDbMkvW1ymo9B1fo5LXV/nh/k9\nfpD/yFOTU3ALVp6AF3s/wjDvsXy0m288++m8bIuuv7eug4+hkbTKYLfum5BQCblLZb9m1tttvu0W\n0YoWsV0oIgIa8sx1k88acJcNN+qmmFh5Qes42DVyV2mIuOmSHUXQCp+x2IvckBlysjpmjKX0npyl\nu9cR0OWlbpZuDMJ4llgxTu721RElG3NXp+TkSZRBX/hDMwH4vnah65VjaCXaeo5q6lu9U0S0KWvo\nvdle3h0+zgSjXO0f47mPjrvmczjZ+TyMHz/JdU4xzXFmbw3k3iVN4tb19fvedyFFwMrWKkqxb3vZ\nucr2CbW1Y0CPlZiwsE1olSlrK4h8loE7MNuT38V5HDkb7OZWX3e+boo8GHcKuAVOQIl2KYQgNDC1\nm1QLIiFr3ThpklnUOsnnpAvNkafLZWyQOFsyw6cpNltjLCRwfPuG4s3sY2oyo7rYKNkydvg657jC\nJ/ljTv/RFPwRcBu6n4JP/+hLrB9vY5xTXB07y9Lgo5uDatd957MZn/Ya5AXks6YVCeaqtYfsNt92\ni0jcIrYKPRZ9sVNlz5gOtWjHKb0q0agBd9lM1HykzRcyEHqN+axu5NZ6VeqJp4GLcOjCDc52uTqd\nUs5koe8gE2OjXBs9w/v9J/JDaTl6F+U+1WEuNvTBmqO0XA0pehYh2an30/+bPZb8L57/Qb8fJEZx\nImH86TEut51ngFnWz9U489Q1em+lrPTCRN9jvMhHucx5rqenWB0/AjNsJnAb0EqwrWUpy5bcFcUH\nw+ZrDFnOtou02f123wL3kJG3EMrcqDXPMri4DOBGT/6wiyVHT0wvg2DDXboG3KYxnsNm1WgkZlnH\nt2UTGpM4WSEBt/3k5TJ0/IYul7GYHWYj1sSWzPA96EUxWhZVYzh81k7rmikYHBsWuJQB5jjONGMr\n34NXcVNy3QbmIBmB0eNvcpx36e+dZ6n/UU82lEWRcJE+hzJHNZpxHxdZ72xffNgqcYuu1giBtbj5\n4qjKnjchYjWcwhoay6E40iqWfjuAfQqfUfpUKQyehUc/9hYfSV7iIi9zlqsM8R4AcwxwjTMM1WZ4\n8dIlZlaedKfUdcxqqIB8Cbsoqhvnk/lVLXCh4wksYfNZhrTrtJ6vk0WTBXzz8klevnARgPcY5nLX\nebq7XJ23aY5zhXO8zAXeuTrmyr28i7PMLaLKq8i5dd1KbbZM1bJ0JJSoVUTcmvUWbYeiawlcEafY\nHjwE5K3Zm2j/ZDsQtGZzJ28z357HRog1CBqDcevgCJsE44q26SvEqs8v59OxbPJbuQK6cVOuijtg\nmMZyGdA4KGezdXLaTQSuDX/QrU+otmKe9rXZwiOZ7drGOm31e40ugGy5kzU3OXbTsHEZrcZjNGtR\nKyLQERE7Bd9zGoqj0lnl1moeOoa0LRoPVV7KZRYPEznfhvNM2EK0o/cYS8Z5nlf5OF/lQ+nLHJly\nYSS3j7cz0DbHOm3MJ48wM3YcZlWxdVEAN7iarz6kD1rmhyz3FKyzsBbRkIXUhgEpj049ya1lkpA3\nAfTDW31Pwxl4n36GeY8e7rBKJ+8xxDhjrtDyd5N8lowFnDVyw6Us1ylk3pIzn1zT96gsTth3rb42\nZe3vDzwE5C2EMpcAgXXyZ9usqm5Y6YYVnzCRB3Yl22+NxtpFuuJ+GXTshjIZ6aKKwzhtchQXw3GU\nxkmEp3BxGxP57huzu2xkXMq9sUG3Aqsd+yxwrQbZ+tbr/yGlQTgKQZtPWKCPWQaY7DvBU0+9A5M4\nN/Vp95nOyrYsrB5sLNvS4LXWlsciK1hRPEaZWb+MtLVi9vcdNyKiVVjC5pOVZQTO7mvdehpVXsSh\nPtplDfWaE93UFKI9+uSbnOUqF3mZT89/mY4/AP7E7XL4ibt8+tMvsTzUzTTHuX7iFO+cfMopxnom\nF13QtxA26clnua/qtdDXZ61v1kKKaScWuLr6tDcSN9m9BqwkvHXjGd4aPUXf4DwdXWus19u4NdsP\nE915PKAkdYjlbWOaM3kP6uvXFjfdLmRlK1rvk6GteIVahc/61rED53F4CMlbaID7NEoo1iQlILeO\ns8L1kJMre04xD+tln3tSCzeLgNWtRmP8xijZXHQpwx94k8eSSfpYYJ2a05Jmx6i/fKhx9gHpZkPh\nSR9pK4pDaFbrsdfmE/ByXM9/I6RNXNY3YGL9Cb7bdpYXucTAj/17jgyvOvL2BLx2+kle5BLXOM3t\nieHcjS1m/VSuz1e3Ta8ri8fYauxaq1bMSNwidgoh92mIwJUdo8qzWva829CKCq8zbYhTBG4wmeMY\n04wxTscrwJdx5G0dmIakF059zs3pOZTM8M7gGPQljWEXQWOblhtaU/Qp783Evvna2ISF0DG09U32\nU9a3RTbfXqmV+XoHi/1D+etBiJ4UYX6fPOZNXpGbqhrIO9DKVdvGXqPPu1Hlt0azcrLonew7tn7/\nx4SFLSI0sKtY35ohH6E/2Q5QS9pCFhZ9HO0+lW8TgNtPHnz7yXt86NRXeYGvcpar9DPPGp1MMMqr\ng+f50mc/xfucyImPLj7ZUO9M16nRg0tfS7NmbItQjIZ1r9xVy+1e8/7Nyyd58cIlullmIenjzEff\noIc7zDC8EZfxyspFeD1xcyiKgFlB8TXRBuVjLWz6EyobYu9FVWIbiVvEfoLP8+CzxjVjYW/2/D6E\nLIKCumddBitCu1I6WKWHZfrShbyO2QxOBB4BbsFBFujhDp2sQa0OtfYm3qBFMcS+eOeqlnhBKGFB\nb9O/rcJpYt/kvaDFnpA3neQlCrStg7eAsbrVybOItewMeTn0dZehikLsa1eEMq9H0R8fMhBtLx4S\n8mbRjPWtSDBJe/nWwbhynFAQapHJ1ycsBTp7SqW9q4xLnoVnTr3KZ/l9foTf5dLSS3RNuzbfGznK\ncaZZr9X4D+c/RzrV67QlGXw11Bx0vsme7fVXsb4VDRotSEL3WgskrTEmDVY3xoF+mFo5zRc+7iZM\nPs40HawyTz8TPMH1xVMsfmUIvkU+h+JGwoa+JtGOQ8JVty8Tvna/ZlzMVcoDVBFwERHNwMqsUCb4\nXsEXgyfrS15rVg9bSVijkzt0s5gchIFZV8dsLms3DAzkdczu0AP12ma+0TAMbcakz5JvXaeyzVqi\nqsASNd9/VZQY5omL0yElmqBpa6PeLm2WcaRtUY5l49zEA+XLvvW5TH2JHXiWpb0PVZ/ZKvJWnyf0\nrO08gdtx8pYkyX8H/FPgl9I0/Xtq/T8G/hqOx38F+Btpmo6r7Z3ALwI/hQsx/QLwN9M0fW97e1jk\nAtDLsPnlbIWGz+Wn22sUPUwhwaShMqfEbboRfLvMWa7yMb7Kp99+ieR3ge8BvXDqozdY/8E/5G1G\nuHb0NOMnn8s1KRmU+vjAZgEUikkImf5tO+m43sdmP9k22vpmNEQdWFsD5uH7s4/zR6OPceDoEm21\nde4udsNUNsPF69lnyrVliYyw6piMu2wWMvraiwJti4hbM9a2ZgVJxIOKvZGjWv74ZFKRFS5E8rbr\npRay+inLfMP2bJ2PbMzDDMNMMsI4Y5y+8Cbtt3AEDuBxuHcRrnOKSUaYSwdgNsk9FqumCxvj1iY2\nyfXr0lDWGxNKWigb4z55WoVs2+Mab49Y3OSeafKmD6HvqSwD7pqkJJau5afj3KyHwxI6KwOLZpvZ\nClo5VtE7emexo2dNkuTDwF/H2Tn0+p8D/hbwM7hX7j8BvpAkyTNpmq5lzX4J+BHgz+KKPfwK8G+A\nTxaftcxKJigTIs24A0KCrdk+CnyugIBGqUIVJHvq8OA8x5hmlDdJXgW+hLvLva7dU+eneGxokkHm\nGNcZU4XQmqEWPJq4adJWRjyswLXBtraNJnTLbNyLensenyFyW+IvBhPu9fdxr0Zj3SIJqJWJ6pf1\nObRwsWVCfDErAp9FdTeI236wgkTsJPZGjgpCZA2qE7btRlkpDAjKS80NxJI0Bd+/PsIbp87wIpfo\n6b/D+Z+4zKPTzud383gXl5PzvMQlrnKWd94ZyRU/m/QENCq5ctIiK5rcsyrZlCH4FN4q76RaYFmt\nkxi4FRrfN/rUkuy2icRK0JuuriAE1pYGsWj2WQp5IKocZyveixCBu0uFF2vL2DHyliRJH/B/4LTC\nf2g2/x3g59M0/Z2s7c/gIgz+DPCbSZIcAv4q8OfTNP2jrM1fAb6bJMlH0jR9qbVehW5ykeZYJbtK\no6pmWSWWozW01dapse5iM1ZxnyVyl2g9K6dhyUGlU4YK7hbF8BVdq25fJPw1O7tLzrhUfIYcSjRq\nG5shJVuEtAlx26j8bYWLrTfku/ZmhatGkVCJ5UAi9osc9RE4vT5E6vCsh9YIni/jP1QKQ84lskIz\njqRRRkj9zYkDXBs9Q3/bPJ2sMpsMMHyisc7bq5znjfQ0jHe5eNk58lIYos9tKH1aCYTG8Z+abXp7\nGXErCrHR+4S8SRY+BVmjxkYdUU1QLXnz9lPugfZmWNImbcvga2PXbUVmblXeht7Z92fCwq8Av52m\n6X9KkmRD6CRJ8gTOufdFWZem6e0kSV4EXgB+E7iY9U23uZYkydtZmxKh0wyBKhJEPjJRxRpXhXyF\nzNUhi58WRt2NhzFm6zuL3cweHmSGYZ5+4m14Jtv9EPAUfP+YK6exwMFGrbHQ9C/nlm0+4VRk9vfB\nWttCWqIOrpDf7eQErqcxwFbHZuiM2hW1vaH2niZudRpJnA2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Ney01B/oEnHBZm2nTrMct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jeYYB4PXJalJNtYAedqG/+pZbTy6fhUywGvlj7P/OkBRrlTG+etNlDtd7uiQf/fQVVc6mofX1m2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\nhRu8xXe5xt3tFVdUVg+kfiznJMw4wZDp//8CfR/45p9UzcxCXrIm5KkY+Jb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4sfI2LNLc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ClW3Ir0ydAc/WQAWxdIp5HrT2cCx/rAPSBpBlCTNh1fpx5YmW3dpTY1vg4sdXu9zbf5Nu/x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\nUSHkvAkhhBBCVIj/A0t8Bc2Iqa0uAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x128fef450>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(2, 2)\n",
"ax[0,0].imshow(transform(caf, 1./8, 8), interpolation='none')\n",
"ax[0,0].set_title('1/8')\n",
"ax[0,1].imshow(transform(caf, 1./7, 8), interpolation='none')\n",
"ax[0,1].set_title('1/7')\n",
"ax[1,0].imshow(transform(caf, 1./6, 8), interpolation='none')\n",
"ax[1,0].set_title('1/6')\n",
"ax[1,1].imshow(transform(caf, 1./5, 8), interpolation='none')\n",
"ax[1,1].set_title('1/5')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The explanation, again, is given by the convolution theorem. However, first we need to introduce the sampling/replicating function *sha*"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$\n",
"\\text{III}(x) = \\sum_{n=-\\infty}^{\\infty} \\delta(x-n)\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The sha-function is essentially an array of delta functions (impulses) with unit strength and unit spacing. It is also called the *sampling function* because when you multiply a continuous function with sha, you extract a set of uniformly spaced samples from that function (this is a useful way to treat discrete mathematics in a continuous framework). We can represent an array of unit impulses with spacing $a$ as"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$\n",
"\\frac{1}{|a|} \\text{III} \\left( \\frac{x}{a} \\right) = \\frac{1}{|a|} \\sum_{n=-\\infty}^{\\infty} \\delta \\left( \\frac{x}{a} - n \\right) = \\sum_{n=-\\infty}^{\\infty} \\delta(x-an)\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"and extract a set of samples with spacing $a$ from the molecular transform by writing"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$\n",
"F_{\\text{discrete}} = \\frac{1}{|a|} \\text{III} \\left( \\frac{x}{a} \\right) F(k).\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So, how does this multiplication affect the electron density? Enter the convolution theorem. The sha function has the useful property that it is its own Fourier transform. Scaling with a factor $a$ propagates between the spaces according to the similarity theorem (which you probably have learned at some point). Anyway, the end result is:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$\n",
"\\rho_{\\text{periodic}} = \\rho(x) * \\text{III}(ax)\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In words, **sampling the molecular transform with spacing $a$ is equivalent to convoluting the electron density with an array of delta functions with spacing $1/a$**. I have used the suffix *periodic* because the effect of this convolution is to erect a complete copy of the electron density *around each delta function*, creating a periodic function. Thus, **sampling the molecular transform with spacing $a$ is equivalent to periodically repeating the electron density in real space**. The period of the repeat is $1/a$."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"When you execute the FFT (fast Fourier transform), it will calculate a single repeat for you and it is taken for granted that you know that the result is periodic. In the plots you made above, you gradually decreased the sampling distance **a = step** until the resulting period in real space (**1/a = 1/step**) was so small that **adjacent repeats of the electron density started to overlap**. This is called aliasing (vikningsdistortion in swedish). It is the same phenomena as the distortion you hear when music is sampled at a too low bit rate."
]
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"<span style=\"color:blue\">Do you now see why you used the default sampling step of 1/8 for the caffeine molecule?</span> (Recall the very first question of the tutorial.) In fact, a sampling step of 1/8 is just a little too large. That is why you could see a slice of an atom being cut off and inserted on the other side."
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"- <span style=\"color:blue\">By reversing the above argument, can you explain why a crystalline diffraction pattern is discrete rather than continuous (the so-called Bragg peaks)? What property of the unit cell determines the spacing between the Bragg peaks?</span>"
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"- Extra: Do you see why a periodic function can be represented by a Fourier series whereas a non-periodic function must be represented by a Fourier integral? Can you see that the sha function is the link between Fourier series and Fourier integrals?"
]
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