{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Quasi-Harmonic Approximation\n", "============================\n", "\n", "*The following tutorial builds upon the earlier Lattice Dynamics tutorial. The information will not be repeated here.*\n", "\n", "**Note:** The QHA calculations are time consuming and precision-sensitive the calculations below present only the scheme of the procedure and *may not* be taken as an example of production runs. To obtain any valuable results you need to take special care to the quality of the phonon calculations involved and inspect all intermediary results.\n", "\n", "The calculation requires the same setup as lattice dynamics tutorial but is inherently time-consuming. It is best done using a multi-core machine (perhaps in some computing center). The initialization part is the same as in other tutorials (cell [1-3])" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Import the basic libraries\n", "from __future__ import division\n", "# ASE system\n", "import ase\n", "from ase import Atom, Atoms\n", "from ase import io\n", "from ase.lattice.spacegroup import crystal\n", "\n", "# Spacegroup/symmetry library\n", "from pyspglib import spglib\n", "\n", "# Import the remote execution tools from the qe-util package\n", "from qeutil import RemoteQE\n", "\n", "# Utility function for plotting standard phonon plots\n", "from qeutil.analyzers import plot_phonons, get_thermodynamic_functions, analyze_QHA_run, fit_and_plot_QHA" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculator setup\n", "----------------\n", "\n", "This is the same setup as for the lattice dynamics calculation. Note, again, that the parameters here are selected not for the accuracy but for speed - the consequences of which will be evident in the final results." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Import actual access info for the remote execution from the external file.\n", "import host" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "# Create a Quantum Espresso calculator for our work. \n", "# This object encapsulates all parameters of the calculation, \n", "# not the system we are investigating.\n", "qe=RemoteQE(label='SiC-QHA',\n", " kpts=[4,4,4], # Sampling grid in the reciprocal space for the electronic calculation\n", " qpts=[4,4,4], # Sampling grid in the reciprocal space for the phonon calculation\n", " xc='pz', # Exchange functional type in the name of the pseudopotentials\n", " pp_type='vbc', # Variant of the pseudopotential\n", " pp_format='UPF', # Format of the pseudopotential files\n", " ecutwfc=70,\n", " pseudo_dir='../../pspot',\n", " use_symmetry=True,\n", " procs=8) # Use 8 cores for the calculation\n", "\n", "\n", "# Setup parameters for the second and third step of the procedure as well as for plotting.\n", "# Since we will use multiple copies of the qe calculator we need to set up all parameters in advance\n", "# Several special points in the FCC lattice for conventional dispersion curves plot\n", "G1=[0,0,0]\n", "G2=[1,1,1]\n", "L=[1/2,1/2,1/2]\n", "X1=[1,0,0]\n", "K=[sqrt(1/2),sqrt(1/2),0]\n", "X2=[1,1,0]\n", "\n", "# Set the path along which we would like to plot the phonon dispersion curves\n", "qpath=array([G1,X2,G2,L])\n", "# Name the special points for plotting\n", "qpname=[u'\u0393','X',u'\u0393','L']\n", "\n", "# Put the parameters into the calculator\n", "qe.set(qpath=qpath) # The path in the brillouin zone\n", "qe.set(points=300); # Number of plot points between the special points along the dispersion curves\n", "qe.set(nkdos=[15,15,15]) # Sampling grid in the reciprocal space for the PDOS integration\n", "qe.set(ndos=200); # Number of data points alog dos curve\n", "\n", "# Check where the calculation files will reside on the local machine.\n", "print qe.directory" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "calc/SiC-QHA.6j3CTa\n" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Crystal setup\n", "-------------\n", "\n", "We use again a cubic SiC crystal. The setup of the crystal is the same as usual." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Stup the SiC crystal\n", "# Create a cubic crystal with a spacegroup F-43m (216)\n", "a=4.36\n", "SiC = crystal(['Si', 'C'],\n", " [(0, 0, 0), (0.25, 0.25, 0.25)],\n", " spacegroup=216,\n", " cellpar=[a, a, a, 90, 90, 90])\n", "\n", "# Assign the calculator to our system\n", "SiC.set_calculator(qe)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculation procedure\n", "---------------------\n", "\n", "The essentials of the Quasi-Harmonic Approximations are described in details in many papers (e.g. [P. Piekarz, *et. al*; J. Chem. Phys. **117** (2002) 3340](http://dx.doi.org/10.1063/1.1494802)). Here we just describe the practical routine. This type of calculation (similarly to the elastic constants calculation) is particularly well suited for automatization - since it involves many similar calculations which can be executed in parallel and analysed automatically. \n", "\n", "The steps we need to take are:\n", "\n", "1. Calculate the phonon dispersion for the base structure and verify the quality of the results (this has been done in the lattice dynamics tutorial. Thus, there is no need to repeat it here, since we use the same calculation parameters).\n", "2. Ganerate a series of structures with the appropriate range of volumes. Depending on the thermal expansivity of the material this range may vary but for hard materials the range (99% - 102%) is usually sufficient. *It may not be appropriate for other materials*. Generally the higher the thermal expansivity, the wider should be the interval - with regard to the upper bound.\n", "3. For each structure (volume) the system *must* be fully relaxed (internal degrees of freedom and the cell shape - *with constant cell volume*). This step was covered in the \"Structural optimization\" tutorial, and will not be repeated here. Furthermore, for the high-symmetry case of the Zinc-blende cubic crystal this step is actually unnecessary (there are no degrees of freedom to relax).\n", "4. At each volume point the *full* phonon calculation should be performed. In principle, only the phonon-DOS function is required. Nevertheless, you should calculate *and inspect* phonon dispersion for each volume point to spot any problems with the results (soft modes, anomalies, etc.). The additional computation cost is minimal - the most time consuming step is the d2 calculation (second derivatives of energy).\n", "5. For each temperature in the desired range calculate the phononic contribution to the Gibbs free energy and add it to the rest of the components.\n", "6. Find the minimum of the Gibbs free energy at each temperature. The procedures in the qeutil.analyzers module use the Birch-Murnaghan logarithmic equation of state for the fitting procedure. It is possible to change the type of the fitted function. You can provide your own fitting function as an eos_fun argument to the fit_and_plot_QHA function. The function must be similar to:\n", " def eos_fun(v,p):\n", " return function(v,p[0],p[1]....)\n", " Note however that unless the p[0] and p[1] parameters of your function are minimum energy and volume of the minimum, respectively, the plotting function of the fit_and_plot_QHA procedure *will not work properly*. You will also need to re-process the output array from this procedure to extract any information it contains in the fitted parameters.\n", "7. Process the set of fitted parameters to extract the thermal expansion curve as well as other parameters such as thermal expansivity or thermal dependence of bulk modulus. You can further use the obtained thermal expansion curve to generate a temperature scan (series of volumes corresponding to the grid of temperatures) and calculating other properties (e.g. elastic constants - see the elastic constants tutorial) for these structures - which then may be plotted as a function of temperature.\n", "\n", "Volume scan\n", "-----------\n", "\n", "At this stage we should calculate the phonons for the basic structure. But since we have done that already in the \"Lattice dynamics\" tutorial we skip directly to the generation of the volume scan." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Generate a series of structures with volumes around basic equilibrium structure\n", "calclst=[] # Storage for structures to be calculated\n", "for x in linspace(0.99,1.02,10): # Loop over the range of scalling factors\n", " a=Atoms(SiC) # Copy the basic structure\n", " a.set_cell(SiC.get_cell()*x,scale_atoms=True) # Scale the unit cell by x\n", " a.set_calculator(qe.copy()) # Assign the copy of the calculator\n", " calclst.append(a) # Store the crystal" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The calclst list contains the target series of structures. At this point - if our structures would be lower symmetry (i.e. contained any additional degrees of freedom except volume) we would need to run the structural optimization for each of them. Since the Zinc-blende crystal structure does not have any additional degrees of freedom we pass directly to phonon calculation. We run all of the structures in parallel to speed-up the process. This is a standard lattice dynamics calculation described in the previous tutorial. Nevertheless, you should pay special attention to the quality of the PDOS function. It should be calculated over a dense mesh with large number of points (ndos parameter) forming the DOS function." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Run the first two stages of the task in parallel\n", "qe.ParallelCalculate(calclst,properties=['energy','d2']);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Launching:" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 1" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 2" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 3" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 4" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 5" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 6" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 7" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 8" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 9" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 10" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " Done:" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 1" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 2" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 3" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 4" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 5" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 6" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 7" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 8" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 9" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 10" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "# Phonon dos and dispersion relations\n", "qe.ParallelCalculate(calclst,properties=['phdos','frequencies']);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Launching:" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 1" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 2" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 3" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 4" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 5" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 6" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 7" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 8" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 9" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 10" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " Done:" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 1" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 2" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 3" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 4" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 5" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 6" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 7" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 8" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 9" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 10" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Collection and analysis of the data\n", "-----------------------------------\n", "\n", "The results of each calculation are stored in the calc.results dictionary of each calculated structure. At this point we should review the quality of the obtained phonon data. As an absolute minimum we need to plot the PDOS curves to spot any irregularities or negative frequencies etc. Each suspected case *should be investigated*. The quality of further results critically depends on the quality of the obtained phonon modes." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Plot the calculated PDOS curves \n", "# and report on the calculation directories to enable the manual inspection of the calculation\n", "figsize(9,5)\n", "for c in calclst:\n", " r=c.calc.results\n", " print \"Lattice factor: %.3f\" % ((c.get_volume()/SiC.get_volume())**(1.0/3),), \n", " print \" Directory:\", c.calc.directory\n", " plot(r['phdos'][0], r['phdos'][1], \n", " label='x=%.3f ; %s' % ((c.get_volume()/SiC.get_volume())**(1.0/3),c.calc.directory))\n", "xlabel('Frequency (cm$^{-1}$)')\n", "ylabel('Phonon DOS (a.u.)')\n", "legend(loc='upper left');" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Lattice factor: 0.990 Directory: calc/SiC-QHA.zx_F3f\n", "Lattice factor: 0.993 Directory: calc/SiC-QHA.7JQ8AT\n", "Lattice factor: 0.997 Directory: calc/SiC-QHA.wBsZkg\n", "Lattice factor: 1.000 Directory: calc/SiC-QHA.BcGgQm\n", "Lattice factor: 1.003 Directory: calc/SiC-QHA.mQVLJV\n", "Lattice factor: 1.007 Directory: calc/SiC-QHA.9fXpsL\n", "Lattice factor: 1.010 Directory: calc/SiC-QHA.UOQLsx\n", "Lattice factor: 1.013 Directory: calc/SiC-QHA.BAtQB9\n", "Lattice factor: 1.017 Directory: calc/SiC-QHA.aDUFwu\n", "Lattice factor: 1.020 Directory: calc/SiC-QHA.olcNVY\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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OHCFLS0uSSCREJD85Y2trS3FxcU/Vj1QqpeDgYNLT0yNTU1Nau3atQrlAIKDU1FQikp8Q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\nuHQJqjk5c7u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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we are satisfied with the PDOS data we can proceed to the main QHA analysis. The qeutil.analyzers module provides two functions designed to help with this task. \n", "\n", "* analyze_QHA_run which takes the list of calculations and calculates the Gibbs free energy for the Tsteps temperature steps in the temperature range (Tmin, Tmax). The output is an array of useful parameters calculated at each temperature point for each structure. At present the array contains: $[V$, $T$, $E_{tot}$, $F_{phonon}$, $P*V$, $C_V$, $S]$. The list may be expanded in the future.\n", "\n", "* fit_and_plot_QHA is basically an implementation of the sixth point from the list above - given the array output by the analyze_QHA_run function it fits the equation of state function to the data and outputs the fitted parameters as a function of temperature. Additionally the function provides the plot of nop selected temperature points - to help in judging the quality of the data." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Calculate thermodynamic parameters as a function of temperature.\n", "qha=analyze_QHA_run(calclst)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "# 0: V=20.11 A^3, Etot=-263.130 eV, P= 3.3 GPa\n", "# 1: V=20.31 A^3, Etot=-263.136 eV, P= 0.9 GPa" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "# 2: V=20.51 A^3, Etot=-263.137 eV, P= -1.4 GPa\n", "# 3: V=20.72 A^3, Etot=-263.135 eV, P= -3.5 GPa" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "# 4: V=20.93 A^3, Etot=-263.132 eV, P= -5.6 GPa\n", "# 5: V=21.14 A^3, Etot=-263.125 eV, P= -7.6 GPa" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "# 6: V=21.35 A^3, Etot=-263.116 eV, P= -9.5 GPa\n", "# 7: V=21.56 A^3, Etot=-263.104 eV, P= -11.4 GPa" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "# 8: V=21.77 A^3, Etot=-263.090 eV, P= -13.1 GPa\n", "# 9: V=21.99 A^3, Etot=-263.073 eV, P= -14.8 GPa" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "/home/jochym/nipy/local/lib/python2.7/site-packages/qeutil/analyzers.py:293: RuntimeWarning: overflow encountered in square\n", " Cv=ndf*k_B*simps(e*e*dos/sinh(e)**2,nu)\n", "/home/jochym/nipy/local/lib/python2.7/site-packages/qeutil/analyzers.py:294: RuntimeWarning: overflow encountered in exp\n", " S=k_B*(simps(2*dos*e/(exp(2*e)-1),nu)-simps(dos*(1-exp(-2*e)),nu))\n" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "# Fit EOS to data and plot the results\n", "figsize(10,7)\n", "thexp=fit_and_plot_QHA(qha,nop=20);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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RDpJWQqhaFF2LIWkxrHocmQQWFF67Ruav0m4SaQcJ3UECB3HdwSBO9uEkjpM4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\npaLDNwfRdZ3RxChdwa6sSNs3ts+IZ4R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dRsTlcvHSSy8xY8YMZs6c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amhtraW2tramLAar6uro7a2lrq6OoLBIJmZmTgcNtLSIjidyZhM31BYOBWnM4m8vPMYMeISMjMz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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Quality analysis\n", "----------------\n", "\n", "Even cursory review of the above data reveals some problems with our calculations. While the range of volumes seems adequate (maybe even too wide), the quality of the fits leaves something to be desired. At the typical scale of the plot it is hard to judge what is the reason for the high scatter of the points around the curves. To better assess the problem we will look closely at the low and high temperature data separately. \n", "\n", "The closer examination reveals that both are actually problematic:\n", "\n", "* The basic energy curve (low temperature) is evidently distorted in the low volume range - possibly an effect of too low energy cut-off for the calculation. This issue will mostly affect the low-temperature data.\n", "* The high energy curve which is dominated by phonon contribution shows large scatter of this contribution - again, possibly due to the small reciprocal space sampling and too low quality of the PDOS function. Note that due to the sharp peaks present in the PDOS the integration procedures may be very sensitive to the quality of this function - you need to pay special attention to this issue. This problem will limit the range of temperatures we can investigate with our data and influence the quality of our high-temperature results.\n", "\n", "There may be many other factors - you need to examine all possibilities to obtain meaningful results. But since this is a tutorial we will pass to the next stage to see what other data we may extract from the calculations and how the low quality of data points is reflected further down the line." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Select just the three first temperature points for plotting\n", "fit_and_plot_QHA(qha[:,:3,:],nop=3);\n", "show();\n", "# And the last thee data points\n", "fit_and_plot_QHA(qha[:,-3:,:],nop=3);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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v85HoKDphY2MDW1tb2NraQiaToV69eqrt6OjoGh/n7Nmz6NOnDxo3bgyZrOp6tHHjRvj4\n+MDGxgbu7u44dOgQACAhIQGurq6q/crKyjBo0CB0794dxcXFtfuCT4kjdkREREYk+q8PYKloh5cd\ng0RH0YmSkhLV7y1btsSqVavQu3fvpz6OpaUlhg0bhrfffhsDBw6s9H5sbCxmz56NTZs2ISgoCDk5\nOVU+/uvhw4d49dVX8eDBA8TGxqJu3bpPnaU2WOyIiIiMxK17t+CvjEedlmt0fu6ChALYh9gLP8az\n8vT0hKenJy5fvlzl+/Pnz8f8+fMRFPSoMDdt2rTSPvfv38eAAQNgbm6OXbt2wcrKSquZq8JLsURE\nREZixck5uKZojn6tKo84aVthQqFeHOOfNmzYAHt7+yp/HBwckJmZqfYYcrkcJ0+exM2bN+Hh4QFX\nV1e88847ePDggWqfhw8fom/fvqhXrx62b98upNQBLHZERERG4UHFQ7iX70KjJuNFR9ErI0aMQEFB\nQZU/+fn5cHFxUXuMvLw8lJeXY8uWLTh06BCSk5Nx+vRpLFq0SLVPcXExEhMT8dprr8HCwkKbX+mJ\neCmWiIjIwB2flID9/45BfVhjQtu3dXbegoQC1Sjb9QXXVa/bhdjV+JKqJo6hbf+9T+6dd96Bo6Mj\nAGDatGlYtGiRqtw1atQI33zzDUaNGgUbGxuEh4cLycpiR0REZOBKdl5Fg0G/4r7NMEiSpLPz2ofY\nP1a+Wka2FHKMJ1m/fj3efPPNKt+TJAmpqalqR+3s7e1rNLI3cOBA/Oc//8HgwYOxY8cOhISEPEvk\nWmGxIyIiMnB5gWmoh/t4PXC+6Ch6Z+TIkRg5cmSN9n3w4AHKysoAPLpnDoDqXrmxY8fim2++Qd++\nfWFubo5ly5bhpZdeqnSMYcOGoaysDAMGDMCePXvQtWtXDX2TmmGxIyIiMkDHJyWgdGc6AMDpzYPI\n3Po8Dr++Adb93dBpeYjO89iF2OnFMZ5Veno6WrVqBeDRSF7dunXh5uaGq1evAgDmzZuH27dvw9PT\nE3Xq1MHQoUMxd+5c1ef/PlL62muvoaysDC+++CJiY2PRsWNHnX0PSVnVIixGQpKkKteYISIiMhab\nL25AvUvvoGvoFdjV0U4x4n9PNau6v6cm/s7CZsXm5+cjLCwMnp6eCA8PR2Fh1VOcY2Ji4O3tDQ8P\nDyxdulT1+q+//oo2bdrAzMwMp06d0lVsIiIivXIp4yvkHwzVWqkjwyKs2EVFRSEsLAwXL15EaGgo\noqKiKu0jl8sxadIkxMTEIDU1FdHR0UhLSwMA+Pn5YevWrXjuued0HZ2IiEgvxF/fB19ZGpreHyo6\nCukJYcVux44dGD16NABg9OjR2LZtW6V9kpKS4O7uDjc3N1hYWGDYsGHYvn07AMDb2xuenp46zUxE\nRKRPDl5ejGT0QOhXr4qOQnpC2OSJvLw81Vowjo6OyMvLq7RPVlbWYw/VdXFxQWJios4yEhER6auU\nm8kIkJ1Aq7aHREchPaLVYhcWFobc3NxKry9evPixbUmSqlx3R5dr8RARERmS3859AHNFR7zc2F90\nFNIjWi12sbGx1b7n6OiI3NxcODk5IScnB02aNKm0j7OzMzIyMlTbGRkZNVog8O8iIyNVv4eEhAhZ\nLJCIiEiT0u+mowP+hJ3HVtFRqBYSEhKQkJCg0WMKW+5k5syZaNiwIWbNmoWoqCgUFhZWmkBRUVEB\nLy8vxMXFoVmzZggKCkJ0dDR8fHxU+/Tq1QufffYZAgMDK52D07OJiMgYzT8wHHUrrmJ2qG5uT+J/\nTzXLKJc7mT17NmJjY+Hp6Yn4+HjMnj0bAJCdnY0XX3wRAGBubo7ly5ejT58+8PX1xdChQ1WlbuvW\nrXB1dcWxY8fw4osv4oUXXhD1VYiIiHSm4EEh/BR74e06RWfntLe3V902xZ/a/9jba+8ZuFygmIiI\nyIAsPPQGbB4exdTQv0RHIQ0z6BE7IiIiejr3K+6jVfkO2DeZIDoK6SkWOyIiIgPx1fEPcFdZH2P8\nJomOQnqKxY6IiMgAlMsr4Hj/VyjtRouOQnqMxY6IiMgAfHtqERSQ4U3/2aKjkB5jsSMiItJzcrkc\ndYp/RoH1EJiZmYmOQ3pM2CPFiIiIqGZ+/Otr2KAUYwMXio5Ceo7FjoiISM/dv7MKd+oMhJW5lego\npOdY7IiIiPTYhrQ1aCbLRd+OS0VHIQPAe+yIiIj0WGb2cpw364f6VvVFRyEDwBE7IiIiPbXj8hZ4\nyK6gW+Au0VHIQHDEjoiISE+dvf4pzsjC0MTaSXQUMhAcsSMiItJD+67/AV9ZGjoE/CI6ChkQjtgR\nERHpoaOXFyNFCkHz+i1ERyEDwhE7IiIiPXM46yD8Zafh7X9cdBQyMCx2REREembf+fmA1A0v23uL\njkIGhsWOiIhIj5zOO4UA2XG4tflTdBQyQCx2REREemT7ubmQoRNebhIgOgoZIBY7IiIiPXH+Tho6\nSIfQxHOP6ChkoDgrloiISE9En5mNM4oAdHbuLjoKGSiO2BEREemBq4VX0AH70cDjN9FRyIBxxI6I\niEgPrEt+D+cUbRHS/HnRUciAccSOiIhIsBtFNxCgjEO91htERyEDxxE7IiIiwVadmoE0hTfC3V4U\nHYUMHEfsiIiIBMouyYK/ci+sWq4VHYWMAEfsiIiIBPrh5AxcUrjjxVYDRUchI8AROyIiIkFulubB\nT/EHzJt/JzoKGQmO2BEREQmy4uQMXFW4YYDHUNFRyEhwxI6IiEiA2/fuoK18NySXr0VHISPCETsi\nIiIBvj0xHdcVLnjVa6ToKGREOGJHRESkY/kP8uEr/x2KZl+IjkJGhiN2REREOvZN0jTcULhgqM9o\n0VHIyHDEjoiISIc4WkfaxBE7IiIiHeJoHWkTR+yIiIh0hKN1pG0csSMiItIRjtaRtnHEjoiISAc4\nWke6wBE7IiIiHeBoHekCR+yIiIi0jKN1pCscsSMiItKyb5KmcrSOdIIjdkRERFp0895NtJH/DqUz\nnwlL2scROyIiIi367vhUXFW44V/e/xYdhUwAR+yIiIi0JLskG36K3ZA1/150FDIRHLEjIiLSkpUn\np+KSojUGegwVHYVMBEfsiIiItOBG0Q20V/wBC7fVoqOQCeGIHRERkRasOjUN5xVe6N96kOgoZEI4\nYkdERKRh6YXpCFDGok6r9aKjkInhiB0REZGGrU2egnOKNujbsr/oKGRiOGJHRESkQRcLLiBAGQ9b\n982io5AJ4ogdERGRBq1Pnoa/FO3Ru0W46ChkgjhiR0REpCEpN0+jAw6isfdu0VHIRHHEjoiISEO2\nnZ2JFGUndHXuLjoKmSiO2BEREWnAsewjCJCOoXmbA6KjkAljsSMiItKAvWlzoJB1x8tNOoiOQiaM\nxY6IiKiW4q/vg7/sNLzaJYqOQiaOxY6IiKiWjl7+EOVmvTGgoY/oKGTiWOyIiIhqYeeVbfCVpSIg\nIFp0FCJxs2Lz8/MRFhYGT09PhIeHo7CwsMr9YmJi4O3tDQ8PDyxdulT1+nvvvQcfHx/4+/tj0KBB\nuHv3rq6iExERqZxLX4QUWR+4NWghOgqRuGIXFRWFsLAwXLx4EaGhoYiKiqq0j1wux6RJkxATE4PU\n1FRER0cjLS0NABAeHo5z584hJSUFnp6eWLJkia6/AhERmbjo8+vQWnYNEzt+LToKEQCBxW7Hjh0Y\nPXo0AGD06NHYtm1bpX2SkpLg7u4ONzc3WFhYYNiwYdi+fTsAICwsDDLZo/jBwcHIzMzUXXgiIiIA\neVmfIs18AJpYO4qOQgRAYLHLy8uDo+Oj/yE4OjoiLy+v0j5ZWVlwdXVVbbu4uCArK6vSfqtXr0a/\nfv20F5aIiOgf/pOyDE1ktzE56EvRUYhUtDp5IiwsDLm5uZVeX7x48WPbkiRBkqRK+1X1WlXHsrS0\nxIgRI549KBER0VOQy+WQ3/kWN+oOQ32r+qLjEKlotdjFxsZW+56joyNyc3Ph5OSEnJwcNGnSpNI+\nzs7OyMjIUG1nZGTAxcVFtb127Vrs3r0bcXFx1Z4nMjJS9XtISAhCQkKe7ksQERH9w9enPoIdHmJa\n0Ceio5ABS0hIQEJCgkaPKSmVSqVGj1hDM2fORMOGDTFr1ixERUWhsLCw0gSKiooKeHl5IS4uDs2a\nNUNQUBCio6Ph4+ODmJgYTJ8+HQcOHECjRo2qPIckSRD09YiIyEiVVZRh/Z/uuGs7BlM6fSQ6DhkR\nTfQWYcUuPz8fQ4YMwY0bN+Dm5oZNmzbBzs4O2dnZGD9+PHbt2gUA2LNnD6ZMmQK5XI5x48Zhzpw5\nAAAPDw+UlZXBwcEBANClSxesWLHisXOw2BERkaZFHZ2MBvd3442e52FmZiY6DhkRgy52usBiR0RE\nmlT0sAg7j3jinsNsRPhPER2HjIwmeouwWbFERESG5qukKbipaMRSR3qLjxQjIiKqgeySLPhWbIXC\nZbnoKETV4ogdERFRDfxw4h1cUnjgX14jRUchqhZH7IiIiNQ4d/ssApT7YOu+RXQUoifiiB0REZEa\nm89MRYqiI3q3CBMdheiJOGJHRET0BH9m7Ed7KREt2/4pOgqRWjUqdmlpaUhPT4dMJkOLFi3g7e2t\n7VxERER64dDF91Em64UBTdqLjkKkVrXF7tq1a1i2bBl2794NZ2dnNGvWDEqlEjk5OcjMzET//v0x\ndepUuLm56TAuERGR7vx2cSN8ZGkIDNwoOgpRjVS7QPGQIUMwfvx4hISEwMLC4rH3ysvLsX//fvz4\n44/YtGmTToI+Cy5QTEREtfFFXDsUW/hj/nM/iY5CJkCrT54oKyuDpaVlrQ4uGosdERE9q5Upn6N+\n/lK80OUi7OrYiY5DJkCrT55wcXFBREQE4uLiWI6IiMiklMvLId35FjfqjmKpI4NSbbFLTU1Fx44d\nsXDhQri4uGDy5Mk4duyYLrMREREJsez4bADAtE5RgpMQPZ1qL8X+XXZ2NjZt2oRffvkFN2/exNCh\nQ/Hxxx/rIl+t8FIsERE9rcIHhdhz1AvFDrPwhv800XHIhGj1Hrt/Ki4uxm+//YYvvvgCOTk5uHnz\nZq1OrAssdkRE9LQW/DkKNuVnMD00RXQUMjFavccOAO7fv49NmzZh0KBBcHd3R3x8PJYuXYrs7Oxa\nnZSIiEgfXS28gnbyHXBvMU90FKJnUu2I3YgRIxAbG4uePXti+PDh6NevH+rWravrfLXCETsiInoa\nkfv7wVxRjA9CD4qOQiZIE72l2gWK+/Tpg5UrV8LW1rZWJyAiIjIER7MOIQCH0KxNrOgoRM+s2kux\no0ePhq2tLXJzczFu3Dj07dsXwKPZsqtWrdJZQCIiIl2IPz8Tp/EcOjkFi45C9MyeeI8dAIwZMwbh\n4eGq++o8PDywbNkyrQcjIiLSlc0X1sNbdh6vB64QHYWoVtQWu9u3b2Po0KEwMzMDAFhYWMDcvNor\nuERERAZFLpcjO3Mxzlm8gub1m4uOQ1QrahuajY0N7ty5o9o+duwYGjRooNVQREREuvLt6YVoIBVh\nfOfloqMQ1ZraYvf555/jpZdewtWrV9G1a1fcunULmzdv1kU2IiIirbpXfg92Rf9B6bGhqNvbsFZ+\nIKpKjRYoLi8vx4ULF6BUKuHl5QVLS0tdZKs1LndCRERPsvDg66hfdgztxs1Ar/TXRcchE6fVBYoT\nEhJUv1tYWKBt27bw8/N7rNTt37+/VicnIiIS5frddLSp2AoXl7mQ1N9yTmQQqr0Uu3PnTsycORPP\nP/88OnbsiKZNm0KhUCA3NxcnTpzAvn370KtXL/Tq1UuXeYmIiDRi268T0fieH5qNLQeuuyHBbS0A\nwLq/GzotDxEZjeiZPfFSbHFxMbZv347Dhw/j+vXrAIAWLVqge/fuGDBgAGxsbHQW9FnwUiwREVXl\nSNYh3LrYD07eexHctDMS3NYiJH2M6Fhk4jTRW2p0j52hYrEjIqKqLIkLxgOZIxb02gEALHakF7T6\nSDEiIiJj9PO5H+Auu4xunX5TvWbd301cICIN4t2iRERkMuRyOUryPsEly+FoZuOsep331JGxYLEj\nIiKT8VnSDJhBgfc689GYZJzUFrvAwEB8++23KCgo0EUeIiIirbhVehMtH/wEWaOpsDCzEB2HSCvU\nFruNGzeloBEQAAAgAElEQVQiKysLnTp1wrBhw/DHH39wQgIRERmcb4+/iWsKN4xr947oKERaU+NZ\nsQqFAjt37sRbb70FmUyG119/HZMnT4aDg4O2Mz4zzoolIiIAOJl3HJmpoWjQeitCmoeKjkNUJa0+\neeLvUlJSMG3aNLz33nt49dVX8euvv8LW1ha9e/eu1cmJiIh0IebsFJxGd5Y6MnpqlzsJDAxEgwYN\nEBERgaioKNSpUwcA0LlzZxw+fFjrAYmIiGpj0/l18JaloWPgadFRiLRO7aXYq1evolWrVrrKo1G8\nFEtEZNrkcjl+OOCNfKvnMbfbd6LjED2RThYo3rp162MnkiQJDRo0QGBgINq3b1+rkxMREWnTZ0kz\n4IAKvNf5K9FRiHRC7T12J0+exPfff4/s7GxkZWVh5cqV2LNnD8aPH4+lS5fqIiMREdFTyyvJQcsH\nP8G88XuwNLMUHYdIJ9Reiu3Rowf27NkDGxsbAEBJSQn69euHmJgYBAYGIi0tTSdBnwUvxRIRma7I\n/S/DSpGHOaGJoqMQ1YhOLsXeunULlpb/+386FhYWyMvLQ7169VQTKYiIiPTJwcwEBCABTXz2iI5C\npFNqi93IkSMRHByMgQMHQqlU4vfff8eIESNQWloKX19fXWQkIiJ6KkcvTEep2fNY0Kyb6ChEOvXE\nS7FKpRIZGRnIy8vD4cOHIUkSunXrho4dO+oy4zPjpVgiItPzY8oy2OQvQWjwOTSu11h0HKIa08ml\n2H79+uHs2bPo1KlTrU5ERESkbQ8q7kN2Zxky6o1lqSOT9MRZsZIkITAwEElJSbrKQ0RE9Mw+OfIW\nSpXWmNbpY9FRiIRQOyvWy8sLly9fRosWLWBtbf3oQ5KEM2fO6CRgbfBSLBGR6Ui9fRYX/uoOmesq\nDHB/VXQcoqemid6ittilp6dX+bqbm1utTqwLLHZERKZjYdxzUEhWmN87VnQUomeiid6idoFiNzc3\nZGRkYP/+/XBzc4O1tTXLEhER6ZWNaWvhKzuLUR2+Fx2FSCi1xS4yMhKffPIJlixZAgAoKyvDv//9\nb60HIyIiqolyeTkKcxbhvOVQtLJrLToOkVBqi93WrVuxfft21f11zs7OKC4u1nowIiKimvg0cQok\nKDGz89eioxAJp3a5EysrK8hk/+t/paWlWg1ERERUU+mF6fB6uAEPnT6HhZmF6DhEwqkdsfvXv/6F\nCRMmoLCwED/88ANCQ0MRERGhi2xERERPtO7UeKQp2mKE7+uioxDpBbWzYgFg79692Lt3LwCgT58+\nCAsL03owTeCsWCIi47Xt0i9QZk6Ap98htGnUVnQcolrTyXInhozFjojIOFXIK7AywRf5Vs9hXvcf\nRcch0gidLHeyZcsWeHh4oH79+rC1tYWtrS3q169fq5MSERHVxqeJU2AhVWBm529FRyHSK2pH7Fq3\nbo2dO3fCx8dHV5k0hiN2RETG50rBFSQnd0SZ4xcY7jtWdBwijdFEb1E7K9bJyckgSx0RERmn9aci\nIMEf81jqiCpReym2Y8eOGDp0KKKjo7FlyxZs2bIFv/32W61Omp+fj7CwMHh6eiI8PByFhYVV7hcT\nEwNvb294eHhg6dKlqtfnzZsHf39/tG/fHqGhocjIyKhVHiIiMgy/nv8JbWXJGBqwUnQUIr2k9lLs\nmDFjHu0oSY+9vmbNmmc+6cyZM9GoUSPMnDkTS5cuRUFBAaKioh7bRy6Xw8vLC/v27YOzszM6deqE\n6Oho+Pj4oLi4GLa2tgCAb775BikpKfjxx8o3z/JSLBGR8SiXl2PVAW/ctgrHB92+Ex2HSON0cil2\n7dq1tTpBVXbs2IEDBw4AAEaPHo2QkJBKxS4pKQnu7u5wc3MDAAwbNgzbt2+Hj4+PqtQBQElJCRo1\naqTxjEREpF+WHp2ERpAwi0+YIKqW2kuxFy5cQGhoKNq0aQMAOHPmDBYtWlSrk+bl5cHR0REA4Ojo\niLy8vEr7ZGVlwdXVVbXt4uKCrKws1fbcuXPRvHlzrFu3DrNnz65VHiIi0m+pt8+iTflGNHZZyCdM\nED2B2mI3fvx4fPzxx7C0tAQA+Pn5ITo6Wu2Bw8LC4OfnV+lnx44dj+0nSVKly7z/ff1JFi9ejBs3\nbmDMmDGYOnWq2jxERGS4tqW8gRRlZ7zqOVx0FCK9pvZS7L179xAcHKzaliQJFhbq/99SbGxste85\nOjoiNzcXTk5OyMnJQZMmTSrt4+zs/NikiIyMDLi4uFTab8SIEejXr1+154qMjFT9HhISgpCQELXZ\niYhIf/x45ku4yy6ha8dToqMQaVRCQgISEhI0eky1xa5x48a4fPmyanvz5s1o2rRprU768ssvY926\ndZg1axbWrVuHgQMHVtqnY8eOuHTpEtLT09GsWTP88ssvqpHCS5cuwcPDAwCwfft2BAQEVHuuvxc7\nIiIyLEUPi2Bx+1Nk2LwBF1tX9R8gMiD/HHBasGBBrY+pdlbslStX8MYbb+Do0aOws7NDy5YtsX79\netWkhmeRn5+PIUOG4MaNG3Bzc8OmTZtgZ2eH7OxsjB8/Hrt27QIA7NmzB1OmTIFcLse4ceMwZ84c\nAMDgwYNx4cIFmJmZoXXr1vjuu++qHPXjrFgiIsMWmfAv2MovYUrISZiZmYmOQ6RVOn1WbElJCRQK\nhUE9TozFjojIcB3IiEPh5Vdg574dPV17iY5DpHU6We7kv2xsbGp1IiIiopqSy+U4eXEqisz7IpKl\njqjGalzsiIiIdGXZiTloLOUjonPlxeeJqHpqlzshIiLSpauFV+F270coG7+P+laGc/sPkT5QW+xK\nS0uxcOFCjB8/HsCjGak7d+7UejAiIjJN60+ORZqiHcb4TRQdhcjgqC12Y8eOhaWlJY4cOQIAaNas\nGebOnav1YEREZHrW/fUtfGRnMSJwlegoRAZJbbG7cuUKZs2apXryhLW1tdZDERGR6Sl6WATcWoJr\n9SLQ2q616DhEBknt5AkrKyvcv39ftX3lyhVYWVlpNRQREZmeL46Oga2yIaZ1/Fh0FCKDpbbYRUZG\nom/fvsjMzMSIESNw+PBhrF27VgfRiIjIVMSm70aAch8aeu3kQsREtVCjBYpv376NxMREKJVKdO7c\nGY0aNdJFtlrjAsVERPpPLpdjRUJb3DEPRGTPn0XHIRJGE71F7T12CoUCe/bswcmTJ9G/f3/cu3cP\nSUlJtTopERHRf0UdnQgr6SFmd+OadUS1pbbYTZw4EUePHkV0dDSAR0+gmDiRU9CJiKj2TuUdR5vy\njWjougR1zOuIjkNk8NTeY5eYmIjTp08jICAAAODg4IDy8nKtByMiIuMXd3YCSmTPYYHHUNFRiIyC\n2mJnaWkJuVyu2r516xZkMj6wgoiIaueLpDlwkvLQv0uc6ChERkNtQ3vnnXfwyiuv4ObNm3j//ffR\nrVs3zJkzRxfZiIjISF0puIzmpT+govH7sK9jLzoOkdF44qxYhUKBo0ePwsHBAXFxj/4fVWhoKHx8\nfHQWsDY4K5aISD8tiusBBSzwYWi86ChEekMTvUXtcift27dHcnJyrU4iCosdEZH++SH5M9gVLEXn\nwJNoXr+56DhEekMny508//zz2Lx5MwsSERHVWk5JFmwLPkWu7TssdURaoHbEzsbGBvfu3YOZmRnq\n1Hk0FV2SJBQVFekkYG1wxI6ISL98FB8KM+V9zA09IjoKkd7RRG+pdlbs4cOH0a1bN9y+fVtV6IiI\niJ7V2r++ga+UjHbtWeqItKXaS7HvvvsuAKBr1646C0NERMbpVulNmN/6GDes34Kng5foOERGq9oR\nO3Nzc4wfPx6ZmZl49913HxsalCQJX3/9tU4CEhGR4VuROAqWyuaYE7RIdBQio1Ztsdu5cyfi4uKw\nd+9eBAYGQqlUqq79SpKky4xERGTAfj73A9pKx+Htf1B0FCKjp3byRHJyMtq3b6+rPBrFyRNERGIV\nPMjHjiN+yKs3EjM7fyI6DpFe08k6doaMxY6ISKzI+BdQT3kT00OSYGZmJjoOkV7T6qxYIiKi2vjp\n3Er4SYnw8EtgqSPSEbULFBMRET2tW6U3gbwFuFZvAto1bic6DpHJUFvsvvzyS9y9exdKpRLjxo1D\nQEAA/vjjD11kIyIiA7UicSSylK6YEbxEdBQik6K22K1evRoNGjTA3r17kZ+fj59++gmzZ8/WRTYi\nIjJAq//6Bm2kUxjYfq3oKEQmR22x++9NfLt27cKoUaPQtm1brYciIiLDlFOShTq3FyHD5h14N/QR\nHYfI5KgtdoGBgQgPD8fu3bvRp08fFBUVQSbjrXlERFTZj4n/xjWFO6Z2ihQdhcgkqV3uRC6XIyUl\nBa1atYKdnR3u3LmDzMxM+Pv76yrjM+NyJ0REuvPd6Sg0LPwcgQHH0Nquteg4RAZHJ8udyGQyXLt2\nDT/99BMkSUKPHj0wcODAWp2UiIiMy94pv6DhgM9wx24mSx2RQGpH7N566y1cuXIFw4cPh1KpxKZN\nm9CqVSusWLFCVxmfGUfsiIh0I/rbrrjoUw/ze+8THYXIYOnkyRPe3t5ITU1V3VenUCjg6+uL8+fP\n1+rEusBiR0SkfZ8emw6vnF/QOfwUmlg3ER2HyGBporeonQXh7u6OGzduqLZv3LgBd3f3Wp2UiIgM\n3/FJCdgZ9Cna5q9G/TkfILXNbiS4rcXxSQmioxGZrGrvsXvppZcAAMXFxfDx8UFQUBAkSUJSUhI6\ndeqks4BERKSfOnzVA98kTEKBWU/0elAHIeljREciMnnVFrvp06c/ti1JEoBH69r993ciIjJdHx+J\ngKN0DxFdfsYJbBYdh4jwhGIXEhKi+j0nJwdJSUmQyWTo1KkTnJycdJGNiIj0VMzVHWhXsQUWbj/D\nxsoG1v3dREciItTgHrsff/wRwcHB+O2337B582YEBwdj1apVushGRER6qOhhETLSJyPFYgj6tXoZ\nANBpeYjYUEQEoAazYj09PXH06FE0bNgQAHDnzh106dIFFy9e1EnA2uCsWCIizYuMfwE2yhxMDTkJ\nMzMz0XGIjIZOFihu1KgRbGxsVNs2NjZo1KhRrU5KRESG6ceUL9FWSoRXuz9Z6oj0ULXF7vPPPwfw\naLmT4OBg1dMmtm/fjnbt2ukmHRER6Y0rBZdRP38RcupPx+BGbUXHIaIqVFvsiouLIUkSWrdujVat\nWqlmwg4YMICzYomITIxCocCvp4bjoeSP+YFzRcchomqovcfOkPEeOyIizVhy5B00e7AV/TqfRuN6\njUXHITJKWr3HbvLkyfjqq69UCxX/88Q7duyo1YmJiMgw7EvfA5+H/weF6w8sdUR6rtpi99prrwGo\nvFAxAF6KJSIyEUUPi3Dt6kRkmw/CfI+houMQkRq8FEtERNWKjO8LG2Uepoac4CxYIi3TRG+pdoHi\nbdu2Yfny5artoKAgtGzZEi1btsSvv/5aq5MSEZH+W3FqCXylE3ix/XqWOiIDUW2x++STT/Dyyy+r\ntsvKynDixAkcOHAA3333nU7CERGRGH/dTEaTu5+iwGEufBr6io5DRDVU7T12ZWVlaN68uWq7e/fu\naNiwIRo2bIjS0lKdhCMiIt2rkJdj31+jUCjrhgX+U0XHIaKnUO2IXUFBwWPbf78se+vWLe0lIiIi\noRYfGoU60gO81zVadBQiekrVFrvg4GD88MMPlV7//vvvERwcrNVQREQkxk9nv4efIgZ+XqthY2Wj\n/gNEpFeqnRWbl5eHgQMHwsrKCh06dAAAnDp1Cg8ePMC2bdvg5OSk06DPgrNiiYhq7lLBBZxM7oFc\nm7cwpdMC0XGITI4messTlztRKpWIj4/HuXPnIEkS2rRpg969e9fqhLrEYkdEVDNyuRzLEgJRIjVB\nZO+9ouMQmSStFztDx2JHRFQzH/05Eo4VxzCs22k0sKovOg6RSdLqI8WIiMg0RKeuhp98F+zdt7DU\nERm4aidPEBGR8btScBnIm4Mr1m8hpHmo6DhEVEtCil1+fj7CwsLg6emJ8PBwFBYWVrlfTEwMvL29\n4eHhgaVLl1Z6//PPP4dMJkN+fr62IxMRGZ0KeTm2nXoVF5XtMCNoieg4RKQBQopdVFQUwsLCcPHi\nRYSGhiIqKqrSPnK5HJMmTUJMTAxSU1MRHR2NtLQ01fsZGRmIjY1FixYtdBmdiMhoLD40EtZSKaZ0\n2yI6ChFpiJBit2PHDowePRoAMHr0aGzbtq3SPklJSXB3d4ebmxssLCwwbNgwbN++XfX+tGnT8Mkn\nn+gsMxGRMVl95kv4KWLRznst76sjMiJCil1eXh4cHR0BAI6OjsjLy6u0T1ZWFlxdXVXbLi4uyMrK\nAgBs374dLi4uaNeunW4CExEZkeS8k6h/ZyFyGsxE12bdRcchIg3S2qzYsLAw5ObmVnp98eLFj21L\nkgRJkirtV9VrAHD//n18/PHHiI2NVb3GJU2IiGrmQcV9HDw7ErfNemBBhzmi4xCRhmmt2P29eP2T\no6MjcnNz4eTkhJycHDRp0qTSPs7OzsjIyFBtZ2RkwMXFBVeuXEF6ejr8/f0BAJmZmQgMDERSUlKV\nx4mMjFT9HhISgpCQkGf/UkREBi7q4Kuwhxne7/6L6ChEJi8hIQEJCQkaPaaQBYpnzpyJhg0bYtas\nWYiKikJhYWGlCRQVFRXw8vJCXFwcmjVrhqCgIERHR8PHx+ex/Vq2bImTJ0/CwcGh0nm4QDER0f98\nkfQ+nEv/gzZ++9G2UVvRcYjoHzTRW4TcYzd79mzExsbC09MT8fHxmD17NgAgOzsbL774IgDA3Nwc\ny5cvR58+feDr64uhQ4dWKnVA9ZdsiYjof2Ku7UCr0m9R4biUpY7IiPGRYkRERi6rOAP7jndGhmV/\nfNB9peg4RFQNPitWDRY7IjJ1crkcnycEoUyqh7m9/uRVDiI9xmfFEhHREy06NBJNpQIM7hLLUkdk\nAljsiIiM1A/Jn8FP8QccvX6HQ93KE8yIyPgImTxBRETa9WdGHBoVLMYthw/RzZmLEBOZChY7IiIj\nk1uSjcuXxuIvs5cxwX+q6DhEpEOcPEFEZETkcjk+SwhGBawwO+RPmJmZiY5ERDXEyRNERPSYhQeH\noKlUgH91Oc5SR2SCWOyIiIzE1yci0UaZgBa+ezhZgshE8R47IiIjsOvKVrgWf4l7jZcgyClIdBwi\nEoTFjojIwJ3PT0XhjbeQZjUKo9u+IToOEQnEyRNERAas+GER1h4Kwh2pJSJ77xEdh4hqQRO9hSN2\nREQGSqFQ4MtD/VGGOpjz3DbRcYhIDxh9sVuaEAqFQiE6BhGRxi06NAYuUjqGdPodVuZWouMQkR4w\n+mJnp0jH0sPDRccgItKoFaeWoI18J1p5rINrfVfRcYhITxh9sfP2XINWFfH47uSHoqMQEWnE71e2\noOndpShs9BF6uvYSHYeI9IjRF7ueLs+htPHHaFr0FXZe+kV0HCKiWjlz8zRKbryFC3XGYJzfJNFx\niEjPGH2xA4DX247HX1YRuJ85EX/dPC06DhHRM7lVehNHzw7GeakbZnf5UnQcItJDJrXcyey4V+Au\nJePVridgX6ehwGRERE+nXF6OZf//GbCzQg7xcWFERojLnTylhT03IVvhhDVHwlEhLxcdh4ioxj4+\n8BLqSffwVrc9LHVEVC2TKnYW5haY0OV3mCvv4dODL4uOQ0RUI4sORqA1zuD59ttgX8dOdBwi0mMm\nVewAwNG6EULabYKz4gw+PcJH7xCRfvvqeCR8Kn6DU+s18HbwFh2HiPScyRU7AGjX2A8N3Vai1cPN\n+DE5SnQcIqIqbUhdheYlX+K+46d4vkUf0XGIyACYZLEDgBdb9cdthwVoVLAEOy9zGRQi0i9x12Ng\nlTcD122m4N++40THISIDYbLFDgAm+L+Dv6wi8CBjIk7lJYqOQ0QEAEi9/Rdyr4zFOYvBmNIpUnQc\nIjIgJl3sAGBe189xEmE4e24QrhddEx2HiEzY8UkJyCvJxZ9nBuKS1BEfdv+P6EhEZGBMvtgBwOKe\nG3BR4Ys9J8JR9KBQdBwiMlFFMZewPjEcd5RO+OC5baLjEJEBYrEDIJPJMLfn77itsMd/jvTmGndE\npHMV8nLcnLwOSkiY0mMvzLlWHRE9A5N68oQ6t+7dwfqjPXBf5oRZPfdBJmPvJSLtOj4pASU7ryJ7\nwiY422aibPnbsHxQF9b93dBpeYjoeESkQ5p48gSL3T9cyL+Eg8lhuGUejDnPcbYsEWnfggND0UJ+\nBE2mvod+Ke+KjkNEgvCRYlrg5eABb8+f4SZPwGdH3xYdh4iM3MeHJ8JLsR8+vptR72590XGIyMCx\n2FWhu0t32DT/AW4PNuLbE/NExyEiI/VF0hx4lUXDzm01gp2CYd3fTXQkIjJwLHbVeKn1ANx3/BxN\ni7/B2jNfVrnP8UkJug1FREZjxamP4Vb6HeTNlqNvy/4AwHvqiKjWWOyeYJTvGOTYzUODO5HYcuGn\nSu+X7kzXfSgiMnhr/lqOZneXoqjREgzxGik6DhEZERY7Nd4OmI6L9d6GlP0u4tJ3iY5DRAZu0/l1\nsLs9F9l272OM31ui4xCRkeGs2Bqaf3Ai2lb8AouYxbD7pc6jF6+7AS3SAYBLExCRWruvbsP962Nx\n3XoipgUtFh2HiPQMlztRQ5PFDgA+ODAGbRW74eW7EwGOQUhwW4uQ9DEaOz4RGa/Y9D0ovPZvXLYa\niTldvxYdh4j0EJc70bFFPdfiDHoj9dwApN75S3QcIjIQCTf2oeDaKFyw+BdLHRFpFYvdU1ocEo1z\nCMbxlBdQNqiO6DhEpOcOZx5AzpURuGA+AB90/150HCIycrwU+wwUCgXm7e+HVtJ59O10EM62rho/\nBxEZvsSco7h8/hVcNgvH/Of+T3QcItJzvBQriEwmw4KQnbiuaIVdx0OQXZwpOhIR6ZnTecdxMe1V\nXJL1YqkjIp1hsXtG5mbm+CDkD2QpXfH78RDkFGeLjkREeuJEbhLOnhuAy2bdENkzWnQcIjIhLHa1\nYGlugbk9Y5GtcMb24z2RW8JyR2TqEnOO4nzqAFw264EFPX8VHYeITAyLXS1ZmltgbkgschVNsTWp\nJ3JLc0RHIiJBjmUfxuW0Qbhs1hMLev4iOg4RmSAWOw2wNLfEnJBY3FQ4YWsiyx2RKTqadRBXLryK\nS2a9Edlzo+g4RGSiWOw0xMrcCrND9iFP4YjtiT2QWXRDdCQi0pE/M+KRfnEwLpmFIbLnetFxiMiE\nsdhpkJW5Fd4PiUe20hV7ToTg2t2roiMRkZbFXN2B3MtDcMn8RUQ+95PoOERk4ljsNMzS3ALzQmJx\nQ9ka+0/2wuX8C6IjEZGWbL20ESXXx+CS5TB82GO16DhERCx22mBuZo7IkBhcUbbBoeTnkXrnrOhI\nRKRhG1JXQZn5Fq7Wi8DcbstFxyEiAsBipzVmZmZY2GsnLqEDTqWE42RuouhIRKQhq858jbp503HD\ndipmBn8iOg4RkQofKaZlSqUS8w4Mh58yDo6tNyCkeZjQPERUO18dj0Tzki+RZz8Xb7Z/T3QcIjIi\nmugtLHY6EnlwPNpWbIGl63d42X2o6DhE9AyWHJkEr4frcd/xc4z0fV10HCIyMix2auhTsQOAJUdn\nwPvBj7jnuBQjfSeIjkNETyHywAj4KmJh3WIVXmz1sug4RGSEWOzU0LdiBwBfnViIFsWfIc/ufUwI\nmCU6DhGpIZfLsfDAS2iNFLh7/YIuzt1FRyIiI8Vip4Y+FjsAWJXyDezz5+FK3TF4r/OXouMQUTVK\ny0qx7GAfNJGy0b3d7/Bt1EZ0JCIyYix2auhrsQOAbZc240HmRFw2C8X73ddDJuMEZSJ9kl2ciV+S\nXoASEoYFx6CZTTPRkYjIyLHYqaHPxQ4ADmcexIWLI5EteWH2c7thbmYhOhIRAUjOO4nj515FHppj\navc9sLa0Fh2JiEyAJnqLkGGi/Px8hIWFwdPTE+Hh4SgsLKxyv5iYGHh7e8PDwwNLly5VvR4ZGQkX\nFxcEBAQgICAAMTExuoquUd1ceqBH+31ooMjAFwldUfTwruhIRCYv5uoOpKX2Q5YsEHN67mepIyKD\nIqTYRUVFISwsDBcvXkRoaCiioqIq7SOXyzFp0iTExMQgNTUV0dHRSEtLA/Co0U6bNg2nT5/G6dOn\n0bdvX11/BY3xcPDEsC4HIVcq8fPhIFwuuCg6EpHJWnXma9y7PhrXrAYjMmQLzMzMREciInoqQord\njh07MHr0aADA6NGjsW3btkr7JCUlwd3dHW5ubrCwsMCwYcOwfft21fv6fIn1aTWu1xjTQ44gV9kS\niad7Yn9GrOhIRCZnyeG34XDnQ+TZzcb7Xb8VHYeI6JkIKXZ5eXlwdHQEADg6OiIvL6/SPllZWXB1\ndVVtu7i4ICsrS7X9zTffwN/fH+PGjav2Uq4hsTS3xEehMbhs0Q8Fl4fgp3Pfi45EZBLK5eWYv/9F\nuJVthmWLtXiLyxARkQHTWrELCwuDn59fpZ8dO3Y8tp8kSZAkqdLnq3rtv9566y1cu3YNycnJaNq0\nKaZPn67x/KLM77EKGfWnw+bmbHyWOEN0HCKjdrP0Jr5I6AJH5SW084vDi60Gio5ERFQr5to6cGxs\n9ZcTHR0dkZubCycnJ+Tk5KBJkyaV9nF2dkZGRoZqOyMjAy4uLgDw2P4RERF46aWXqj1XZGSk6veQ\nkBCEhIQ8xbcQY3LgB9h8oTVcsifjo4RLeL/HFpibae2fisgkJeYcQ3LaSCjQBMO7JsK+jr3oSERk\nYhISEpCQkKDRYwpZ7mTmzJlo2LAhZs2ahaioKBQWFlaaQFFRUQEvLy/ExcWhWbNmCAoKQnR0NHx8\nfJCTk4OmTZsCAJYtW4bjx49jw4YNlc6j78udqHM67ySOnB2Oe7DFqM674GTtJDoSkVFYd/Y7WN/6\nAGdloZjXPZqTJIhILxjsOnb5+fkYMmQIbty4ATc3N2zatAl2dnbIzs7G+PHjsWvXLgDAnj17MGXK\nFKGKm8AAABmGSURBVMjlcowbNw5z5swBALz22mtITk6GJElo2bIlVq5cqbpn7+8MvdgBQP79fHx7\n5CU4S5nw9lqPrnycEVGtLD70JnzLNyLDdhre7fih6DhERCoGW+x0xRiKHfBo6ZcFh0bBXxGD0saL\n8FrbiaIjERmckrISfH7wZbSWzqNhy+/xQsuXRUciInoMi50axlLs/uubEwvhXPw5Ui1ewftdV/Ex\nZEQ1lJJ3Cn+eHYEKWGBA4Ha0smslOhIRUSUsdmoYW7EDgH3pMbh+dQJuKZshossONKrXWHQkIr22\n5q/lsLk9H+ek7ni/x6+wNLMUHYmIqEosdmoYY7EDgNySHKxOfAWOUg48PNfiOZdeoiMR6R25XI5F\nh0bDT7ETmfWn493AeaIjERE9kcE+K5Zqx8mmKWaFHMYNs+dw59IrWH5qsehIRHrj+KQEZBVn4tOE\nznCW/7/27jysqTPfA/g3CauAUhdwQcWyL2FxAde6Yq1aK1q109qxanW040y11aHqjK1ttTpqe7W9\n1Y4dt2uHa2VUvG71tkpbtbWoICIuoEQB2VH2Lcl7//AhVwwQ1hwI38/z5HmSk/Oe/E5+feXbJOec\nc+jseoihjojaDQa7NkqhUGDtyP9CXueP4JD/GdaenYSSihKpyyKS3P3EMzgTHQS1zBqhgy9jVO8x\nUpdERGQ0/CrWBMRnX8PpuFdhLStHf6+9CO4xROqSiIxOo9Hg4/PzEVx8GFft5yFsyGdSl0RE1CD8\njZ0B7SXYAUCFugIfn3sVAeIHPOi0HEv6r5a6JCKjOb30APK8tsCqcw7s31kLKDQAAJvJzhj0xShp\niyMiqicGOwPaU7Cr8s+r22CX9yFuigH487BvYW/ZSeqSiFrU7mtfwCrnIyQKJf409CCuekZilOoN\nqcsiImowHjxBeub7/xl+fj/CSmTj0Hk/HL8bKXVJRC2isLwQ75+djE45f0Om7R+wZsz3vN4rEbV7\nDHYmyLOLD94dFY008+dRee/3+OjcfGg0GqnLImo23yUfw7/O+6OT9j5cfM5g6aAPdc/ZTHaWrjAi\nIonxq1gTd+ruUaSo3kah6Igxyt0IcOgvdUlEjabWqPHJhUVQqg/imtl0rBq6EwqFQuqyiIiaBX9j\nZwCD3WMFZfnYcuE1BMjOIanDQiwP2giZTCZ1WUQNcj7tJ0TfXAwbWSl6On+GSc++JHVJRETNisHO\nAAa76r65/jXUme8jQ/TElMB98OrsJXVJRAZpNBqs/2UxlJUHECt/Hn8ZugcdzDtIXRYRUbNjsDOA\nwU5fTmkOvrjwKnzll3Df5i28E/Sx1CUR1epC2s+4ePMt2MqK4dBnE15ynS51SURELYbBzgAGu9rt\nivsc5jmfIF30wDjfr9DfcaDUJRHplKnLsOHCAgRojiJWHoIVQ/bCxsJG6rKIiFoUg50BDHZ1yyvN\nxdZf5yAA55Bg/grChnwBM4WZ1GVRO/fv2/9CTurfUAlzuPbbjAn9JktdEhGRUTDYGcBgVz+HEw8g\nM2UV1PxDShLKKErH9t/mI0B2ATcsfoe/DP6c/6NBRO0Kg50BDHb1V6Yuw8YLC+CvOYpYDMeioH+i\nu013qcuidkCj0eCzS6vhVLILKq0zXlB+BX+HQKnLIiIyOgY7Axjs9EUviarz2plXMqJx6voSuMjv\nItVmIZYO+JDnCaMWc/LuUdxMXoXOskeo6PIuFvgvk7okIiLJMNgZwGCnL8p5T72uo7kzdgss8j5D\nnugMj2c/xsR+U1q+OGo37hWosOvSWwiUncdVxYtYPvgrHhxBRO0erxVLLWZBwLuYNuwGCsx8UaF6\nHWvPjMXNvJtSl0VtXEllCT78+U1cuhwIS/EIfb3P4P3n9jPUERE1E35i1w5EL4lC8THV4wf3nIG+\nj+/bTHau82vZKjdy43Ew9k/wk1/BVcUULAv+Eh0t7VqoWjJFQgh8cXkdbAu+QjFs4Njrr5jhMVvq\nsoiIWhV+FWsAg52++n4VW5Pjdw7hlup9OMqzkWo9G+8M+gTmCvPmLZBMzr8SdiEz/VN0k+Ui124h\nlvRfw99tEhHVgMHOAAY7fU0JdlX+EbsJyNsOBbQo6bQQbwWE8Q816Tl25xCuq9bBRZ6Mm+aheHvQ\nf8COn/QSEdWKwc4ABjt9ho6KrS+NRoNtl/+KLkX7UAA7WHf7E+Yr/9j0AqnNi7r/A84lroGvPB5x\n8hfw1qDP0bVDN6nLIiJq9RjsDGCwa3ll6lJ8evEd9Ks4hBxtF1h2XYgFfm9DJpNJXRoZ2XfJJxB9\ndx2U8muIlY3C7wO3ol+nflKXRUTUZjDYGcBgZzzFFcXYFr0CfcoP4SHsIX9mPv7g9w6/om0Hjt05\nhDjVRnjLb+KqbAxeD9iEZ+1dpS6LiKjNYbAzgMHO+MrUpdgaHYaepREogTUedZiGPw/8ENZm1lKX\nRg1g6Ct7jUaDPde/RG72LrjJkxEnH495/begt11v4xVJRGRiGOwMYLCTTqWmEl9e/gAWhd/CXl6A\n24oXsLD/J+hh20Pq0qgeajvIpkxdhm2X1qBjySHYyYqgMp+EP/TfwN/QERE1AwY7AxjsWof98duR\nnrkTbvI7iBVD8JzrcozpM07qsqgOTwe76znxOBD/EbxEFPJFR5TbzcLi/mtgobCQrkgiIhPDYGcA\ng13rEnX/f/Fj0mYEyH5BkvZZmNvPwKKAv8CiHufCa66jeal2T5/IWvRNRrZPEnJejUKfnlcRp/WD\nS88FmOU1V8oyiYhMFoOdAQx2rVNOSRb+cWUNHCpOoYOsDDdlwzDebSmG9xpR65jmOP8e1c/N3ARE\nr1uHsskXYCsrRqJ8LGYp34dHZ0+pSyMiMmkMdgYw2LVuWq0WEbf24daDPfCTX8EdbV9U2ryAN/3f\nQxfrztXWZbBrWSWVpfj66hYU50dCKb+Bwht+KBgyFXP9lvLrViIiI2GwM4DBru3ILcnBP6+ug1XJ\nd3CWpyBO64cuvw6F+y4PKDRmjbrGLdWtUlOJfde/Qkr2YSjlMcgTnZBlMRq/812F3L+m8j0mIjIy\nBjsDGOzaptjMaPzPrW1wUF9AN1kurmn7w/0fAZi0by068pJUTVKmLsc3CV/jfs5ReMuuoFxYQqUI\nxoh+CzG6z/NSl0dE1K4x2BnAYNf2/ZzyA87c3QFleizMHDMQr/WGwmYkZnn/Ec4d+0pdXpuQWZyJ\nb67/J4oKz8JXHo8CYYt78gD0d5qDyS7TeZUQIqJWgsHOAAY70xG9JAoWa2xx7PYO2JT/Cnf5XdwR\nfZAt94W7w0S87P4arMwspS6zVajUqBGZdBDXMiJhr46Hh/wukkUf5JkNxKh+czGi91ipSyQiohow\n2BnAYGe6ckoycfDm18h+dBbOuIFOskLc1LqhxMwLbg5jEeoyEzYWNlKXaZTTtJSpy3E06d9IyDoN\ni8ob8JAnogwWSBaesLMbgVD3N9GnEz/dJCJq7RjsDGCwaz8uZ/yKM8n/jfKSGPSW3UFXWR4Stc8i\nT94Pdh38MLjXBAztMdTo165t7qN5tVotojOicS71BB4VX4W9Nhlu8ruPv14VLlBYB2BYn2kY4TSm\n2V6TiIiMg8HOAAa79uvOw1s4cScceUUx6Ki5C2f5fQjIoNL2Rr6sF8ws+sHJPgAjnELgav9si9XR\nlGCX/EiFn9O+x71HMagsv4uO4gGc5akwRyVU2j54JO+LTrYBGNdvFny7+jVv4UREZHQMdgYw2FEV\nIQSuZF7EhdSTeFh8A+bqFHSTpaOXLAMl6IAs0QUPRWeUybvBzLwnOlr1hoNNH/Tr5AHvLj7o1ICj\ncZ++gkNNp2kpKC9EQu51JOffRlbxfeSXpUJdmQZLbTbs8RAO8hzYoRhpojuyRXdUmPVGpw6eCO71\nPAY5DjH6J49ERNTyGOwMYLAjQzQaNa5mX8b1nMtIL7yJsvJUmGky0QH56CgrhL2sAB1RiCLYoEh0\nQBksUSqsUA4rVMASAgpoIYcWCrw99zzMK7Qot5Nj3/oAFHW2gMstINWjFFYog5WsDB1QBhtZCexQ\nhALY4ZHoiAJhh2J0glrhAEsLJ3S384BX1/4IdBgEc54cmIio3WCwM4DBjppDpaYCyfmJSC9KQ25p\nFvLLc1BU8RBl6gJotWpohRpaUYF3J+2GVcHj/97ynC2w85sFcNpbhrwFvWBr0RkdLTuji7UDutv0\ngou9G8wVPIqXiIj+H4OdAQx2ZFQWFkBlJSCTAbGxgJ+fUY6KJSIi08BgZwCDHRlVXBwQHAxcvAj4\n8WAGIiJqGAY7AxjsiIiIqK1ojtwib6ZaiIiIiEhiDHZEREREJoLBjoiIiMhEMNgRERERmQgGOyIi\nIiITwWBHREREZCIY7IiIiIhMBIMdERERkYlgsCMiIiIyEQx2RERERCZCkmCXl5eHkJAQuLu7Y/z4\n8Xj06FGN6506dQqenp5wc3PDxo0bqz33+eefw8vLC76+vggLCzNG2UREREStmiTBbsOGDQgJCcHt\n27cxduxYbNiwQW8djUaDJUuW4NSpU0hISEB4eDhu3LgBADh79iyOHj2KuLg4xMfHY/ny5cbeBTKC\nqKgoqUugRmLv2jb2r21j/9o3SYLd0aNHMWfOHADAnDlzcOTIEb11fvvtN7i6usLZ2Rnm5uZ45ZVX\nEBkZCQDYvn07Vq5cCXNzcwBAt27djFc8GQ3/cWq72Lu2jf1r29i/9k2SYJeZmQlHR0cAgKOjIzIz\nM/XWSUtLQ+/evXWPnZyckJaWBgBITEzETz/9hMGDB2PUqFG4dOmScQonIiIiasXMWmrDISEhyMjI\n0Fu+bt26ao9lMhlkMpneejUtq6JWq/Hw4UP8+uuviI6OxsyZM3H37t2mF01ERETUlgkJeHh4iPT0\ndCGEEA8ePBAeHh566/zyyy/i+eef1z1ev3692LBhgxBCiAkTJoioqCjdcy4uLiInJ0dvGy4uLgIA\nb7zxxhtvvPHGW6u/ubi4NDljtdgndnWZMmUK9u7di7CwMOzduxdTp07VW2fgwIFITEyESqVCz549\nceDAAYSHhwMApk6dijNnzmDkyJG4ffs2Kioq0KVLF71tJCUltfi+EBEREbUWMiGEMPaL5uXlYebM\nmbh//z6cnZ3x7bffwt7eHg8ePMCCBQtw/PhxAMDJkyexdOlSaDQazJ8/HytXrgQAVFZWYt68eYiN\njYWFhQW2bNmCUaNGGXs3iIiIiFoVSYIdERERETW/NnnliZSUFIwePRo+Pj7w9fXFtm3bADTPiY+p\nZTW1d87OzvDz80NgYCCCgoKMWTqh9v4dPHgQPj4+UCgUuHLlSq3jOfek1dT+cf5Jp7berVixAl5e\nXvD398e0adOQn59f43jOPWk1tX8NmntN/pWeBNLT00VMTIwQQojCwkLh7u4uEhISxIoVK8TGjRuF\nEEJs2LBBhIWF6Y1Vq9XCxcVFJCcni4qKCuHv7y8SEhKMWn971pTeCSGEs7OzyM3NNVq9VF1t/btx\n44a4deuWGDVqlLh8+XKNYzn3pNeU/gnB+Sel2np3+vRpodFohBBChIWF8e9eK9WU/gnRsLnXJj+x\n6969OwICAgAAtra28PLyQlpaWpNPfEwtrym9qyL46wHJ1NS/Bw8ewNPTE+7u7nWO5dyTXlP6V4Xz\nTxq19S4kJARy+eM/5cHBwUhNTdUby7knvab0r0p9516bDHZPUqlUiImJQXBwcJNPfEzG1dDeAY/P\nbzhu3DgMHDgQO3fuNGa59JQn+1cfnHutS0P7B3D+tRa19W7Xrl2YOHGi3vqce61LQ/sHNGzuSXK6\nk+ZSVFSE6dOnY+vWrbCzs6v2XGNOfEzG05jeAcD58+fRo0cPZGdnIyQkBJ6enhgxYoQxSqYnFBUV\n4eWXX8bWrVtha2tbrzGce61HY/oHcP61BrX1bt26dbCwsMCrr76qN4Zzr/VoTP+Ahs29NvuJXWVl\nJaZPn47XX39ddx48R0dH3dUu0tPT4eDgoDeuV69eSElJ0T1OSUmBk5OTcYomAI3vHQD06NEDwOPr\nA4eGhuK3334zTtGkU9W/2bNn13gOytpw7rUOje0fwPkntdp6t2fPHpw4cQLffPNNjeM491qHxvYP\naNjca5PBTgiB+fPnw9vbG0uXLtUtrzrxMYB6nfi4oqICBw4cwJQpU4xWe3vXlN6VlJSgsLAQAFBc\nXIzTp09DqVQap3ACUHv/nl6nJpx70mtK/zj/pFVb706dOoVNmzYhMjISVlZWNY7l3JNeU/rX4LnX\nhIM8JPPzzz8LmUwm/P39RUBAgAgICBAnT54Uubm5YuzYscLNzU2EhISIhw8fCiGESEtLExMnTtSN\nP3HihHB3dxcuLi5i/fr1Uu1Gu9SU3t25c0f4+/sLf39/4ePjw95JoKb+nThxQhw+fFg4OTkJKysr\n4ejoKCZMmCCE4NxrbZrSP84/adXWO1dXV9GnTx/dssWLFwshOPdam6b0r6FzjycoJiIiIjIRbfKr\nWCIiIiLSx2BHREREZCIY7IiIiIhMBIMdERERkYlgsCMiIiIyEQx2RERERCaCwY6IiIjIRDDYERGR\nTnx8PKKiorBq1SqpSyGiRmCwIyIinaSkJLi5uSErK0vqUoioERjsiIhIZ+rUqSgsLMSgQYOkLoWI\nGoHBjoionUpOTsabb76J06dP65b9/e9/R+/evZGUlITbt29LWB0RNQaDHRE1mEKhQGBgIJRKJWbO\nnInS0tIa1xs2bFiDtlu1fn5+PrZv396kbdUmIyMDr7zyClxdXTFw4EBMmjQJiYmJdY6xtbWt8X5T\nNNd26qu8vBwjR47Ek5cHT0tLQ2hoKDIyMnTLhg0bhitXrsDS0hJ9+/bV28Zzzz0HrVZrtLqJqGFk\n4slZTkRUD3Z2digsLAQAzJ49GwMGDMCyZct0z1f9syKTyRq1fZVKhRdffBHXrl1rerFPEEJg6NCh\nmDt3LhYuXAgAiIuLQ0FBAYYPH17ruCf398n7TdFc26mvXbt2ITc3FytWrKi2fNGiRdixY0e9t7N6\n9WoMGDAA06ZNa+4SiagZ8BM7ImqS4cOHIykpCffu3YOHhwfmzJkDPz8/pKSkwNbWFvfu3YOnpyfm\nzp0LDw8PvPbaazh9+jSGDRsGd3d3REdH67ZV9SnWe++9hzt37iAwMBBhYWF6z3355Ze6MR988AG2\nbNkCANi/fz+Cg4MRGBiIRYsW6X2ydPbsWVhYWOhCHQD4+fnpQp2h8bVZuXJlrTV9+umnUCqVUCqV\n2Lp1q95YlUoFpVKpe7x582asXbu2Qe9bfeoODw/HSy+9VG3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OrOPfv/3baAtcIYQwNJl3Mnnl11f4X/v/SVEn7iM9dgbu+u3rdF7aGe+a3szq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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Temperature-dependent properties\n", "--------------------------------\n", "\n", "The fit_and_plot_QHA function returns the fit parameters as a function of temperature. The most important is the position of the minimum of free energy - which is our estimation of the equilibrium volume at each temperature. Plotted against the temperature it gives the thermal expansion curve. We can further derive the thermal expansion coefficient from this data.\n", "\n", "Judging from the $\\alpha$ curve in the inset we can decide that indeed the low-temperature data quality suffered badly due to the problems mentioned above." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Plot the thermal expansion \n", "figsize(9,6)\n", "plot(thexp[0],thexp[1]);\n", "xlabel('Temperature (K)')\n", "ylabel('Volume ($\\AA^3$)')\n", "title('SiC thermal expansion')\n", "\n", "# Calculate and plot the thermal expansion coefficient (alpha)\n", "a = axes([.2, .5, .3, .3]) # Create an inset plot\n", "dt=thexp[0,2:]-thexp[0,:-2] # calculate the temperature steps\n", "alpha=((thexp[1,2:]-thexp[1,:-2])/dt)/thexp[1,1:-1] # calculate the derivative of volume with central formula\n", "plot(thexp[0,1:-1],1e6*alpha);\n", "title('Thermal expansion coeff.')\n", "xlabel('Temperature (K)')\n", "ylabel('$\\\\alpha_V * 10^6$');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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JiUJ18MmTwjw8Z84AX34JfPih2JExxljlEQlzhkVEALt2AV26iB2RODgBqgEv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\nDFJSrIeaAwKswmf8eKhf3+7IRETkRlIBJF4pP9/aoys0FE6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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us continue with the analysis of obtained data. The Birch-Murnaghan equation of state is parametrized by bulk modulus ($B_0$) and the temperature derivative ($B'_0$). Both quantities are included in the fit data obtained from the fit_and_plot_QHA function. Thus we have also thermal dependence of these two parameters. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Plot the bulk modulus as a function of temperature\n", "plot(thexp[0],thexp[3]/ase.units.GPa);\n", "xlabel('Temperature (K)')\n", "ylabel('$B_0$ (GPa)')\n", "a = axes([.45, .55, .3, .3]) # Create an inset plot\n", "plot(thexp[0],thexp[4]);\n", "xlabel('Temperature (K)')\n", "ylabel(\"$B_0'$\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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KTtaFTkoKfPutnnIuXJMrtwN7IWNyRI5UqgRvvqm/hBC69+brr8HDQw9KvnTJdCIhhDVI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\nYII=\n", "text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is quite clear that the low quality of the data points impacted the bulk modulus data as well. It is also evident from the non-physical shape of the high-temperature $B_0$ curve that the approximation - at least for this dataset - breaks down around T=700-800K. This should be no surprise considering the quality of the high-temperature data points and mentioned high sensitivity of the procedure to the accuracy of the data." ] } ], "metadata": {} } ] }