{ "cells": [ { "cell_type": "markdown", "id": "0a5eaf21-f149-4277-8ddc-972b12c489c3", "metadata": {}, "source": [ "## Initial imports and helper function\n", "The ``show()`` function can be used inside Jupyter notebooks to show the chemical system. If you do not use Jupyter, the function can be ignored." ] }, { "cell_type": "code", "execution_count": 1, "id": "7527d1e0-61b4-42e0-927b-f88e63eb75d5", "metadata": {}, "outputs": [], "source": [ "from scm.plams import *\n", "import os\n", "import numpy as np\n", "from ase.visualize.plot import plot_atoms\n", "import matplotlib.pyplot as plt\n", "\n", "\n", "def show(mol, figsize=None, rotation=None, **kwargs):\n", " \"\"\"Show a molecule in a Jupyter notebook\"\"\"\n", " plt.figure(figsize=figsize or (2, 2))\n", " plt.axis(\"off\")\n", " rotation = rotation or (\"80x,10y,0z\")\n", " plot_atoms(toASE(mol), rotation=rotation, **kwargs)" ] }, { "cell_type": "markdown", "id": "16f41870-4f7f-4e9a-8882-7b5c90c896b6", "metadata": {}, "source": [ "Before running AMS jobs, you need to call the PLAMS ``init()`` function:" ] }, { "cell_type": "code", "execution_count": 2, "id": "e41e97b9-c4da-4184-862e-d8e9cf3ff5d7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "PLAMS working folder: /home/hellstrom/adfhome/userdoc/Tutorials/MolecularDynamicsAndMonteCarlo/MDintroPython/plams_workdir\n" ] } ], "source": [ "init()" ] }, { "cell_type": "markdown", "id": "21722ac5-0852-4b85-92d6-21a8e03c7af3", "metadata": {}, "source": [ "## Create a box of methane\n", "\n", "\n", "First, create a gasphase methane molecule:" ] }, { "cell_type": "code", "execution_count": 3, "id": "7d6905b7-9d40-476f-bd01-85eaf379303e", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "single_molecule = from_smiles(\"C\", forcefield=\"uff\") # or use Molecule('your-own-file.xyz')\n", "show(single_molecule)" ] }, { "cell_type": "markdown", "id": "44f80996-0301-40b8-9268-92ebe224dd33", "metadata": {}, "source": [ "You can easily create a box with a liquid or gas of a given density. For more advanced options, see the Packmol example." ] }, { "cell_type": "code", "execution_count": 4, "id": "611b609c-ad2b-4771-902e-256df32534a9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Lattice vectors of the box:\n", "[[8.106820570931148, 0.0, 0.0], [0.0, 8.106820570931148, 0.0], [0.0, 0.0, 8.106820570931148]]\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "box = packmol(\n", " single_molecule,\n", " n_molecules=8,\n", " region_names=\"methane\",\n", " density=0.4, # g/cm^3\n", ")\n", "print(\"Lattice vectors of the box:\\n{}\".format(box.lattice))\n", "show(box)" ] }, { "cell_type": "markdown", "id": "dedcebc4-4e25-4939-8413-a404ee7265be", "metadata": {}, "source": [ "Before running an MD simulation, it is usually a good idea to do a quick geometry optimization (preoptimization)." ] }, { "cell_type": "code", "execution_count": 5, "id": "489dbeca-2e36-4a89-8d3d-b6add8966121", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "box = preoptimize(box, model=\"UFF\", maxiterations=50)\n", "show(box)" ] }, { "cell_type": "markdown", "id": "09123cff-b2db-4e53-888b-29ec299ea3f5", "metadata": {}, "source": [ "### Run an NVE simulation with UFF\n", "\n", "In an NVE simulation, the total energy (kinetic + potential) is constant. \n", "\n", "The initial velocities can either be \n", "\n", "* read from a file (a previous simulation), or \n", "\n", "* be generated to follow the Maxwell-Boltzmann distribution at a certain temperature.\n", "\n", "Here, we will initialize the velocities corresponding to a temperature of 300 K." ] }, { "cell_type": "code", "execution_count": 6, "id": "2541e4e5-cd8e-43ad-8a78-686b381efc56", "metadata": {}, "outputs": [], "source": [ "s = Settings()\n", "s.input.ForceField.Type = \"UFF\"\n", "s.runscript.nproc = 1 # run in serial\n", "\n", "nve_job = AMSNVEJob(\n", " molecule=box,\n", " settings=s,\n", " name=\"NVE-sim-1\",\n", " temperature=300, # initial velocities from Maxwell-Boltzmann distribution, 300 K\n", " nsteps=1000,\n", " samplingfreq=50,\n", " timestep=1.0, # femtoseconds\n", ")" ] }, { "cell_type": "markdown", "id": "9993fc0a-153b-431c-8ce9-e44828fa9eac", "metadata": {}, "source": [ "When calling ``nve_job.run()``, you can set ``watch=True`` to interactively see the progress of the MD simulation." ] }, { "cell_type": "code", "execution_count": 7, "id": "2cdb6972-dee4-4022-bebe-02f0b372885f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[16.12|13:57:34] JOB NVE-sim-1 STARTED\n", "[16.12|13:57:34] JOB NVE-sim-1 RUNNING\n", "[16.12|13:57:34] NVE-sim-1: AMS 2022.204 RunTime: Dec16-2022 13:57:34 ShM Nodes: 1 Procs: 1\n", "[16.12|13:57:34] NVE-sim-1: Starting MD calculation:\n", "[16.12|13:57:34] NVE-sim-1: --------------------\n", "[16.12|13:57:34] NVE-sim-1: Molecular Dynamics\n", "[16.12|13:57:34] NVE-sim-1: --------------------\n", "[16.12|13:57:34] NVE-sim-1: Step Time Temp. E Pot Pressure Volume\n", "[16.12|13:57:34] NVE-sim-1: (fs) (K) (au) (MPa) (A^3)\n", "[16.12|13:57:34] NVE-sim-1: GuessUFFBonds\n", "[16.12|13:57:34] NVE-sim-1: 0 0.00 300. -0.03207 239.478 532.8\n", "[16.12|13:57:34] NVE-sim-1: 50 50.00 177. -0.00859 -131.982 532.8\n", "[16.12|13:57:34] NVE-sim-1: 100 100.00 271. -0.02647 80.591 532.8\n", "[16.12|13:57:34] NVE-sim-1: 150 150.00 199. -0.01271 -347.718 532.8\n", "[16.12|13:57:34] NVE-sim-1: 200 200.00 207. -0.01446 -164.293 532.8\n", "[16.12|13:57:35] NVE-sim-1: 250 250.00 219. -0.01660 538.325 532.8\n", "[16.12|13:57:35] NVE-sim-1: 300 300.00 179. -0.00903 -98.505 532.8\n", "[16.12|13:57:35] NVE-sim-1: 350 350.00 223. -0.01722 -138.693 532.8\n", "[16.12|13:57:35] NVE-sim-1: 400 400.00 204. -0.01381 -232.811 532.8\n", "[16.12|13:57:35] NVE-sim-1: 450 450.00 193. -0.01162 141.163 532.8\n", "[16.12|13:57:35] NVE-sim-1: 500 500.00 193. -0.01152 555.958 532.8\n", "[16.12|13:57:35] NVE-sim-1: 550 550.00 181. -0.00924 -316.808 532.8\n", "[16.12|13:57:35] NVE-sim-1: 600 600.00 196. -0.01199 -269.346 532.8\n", "[16.12|13:57:35] NVE-sim-1: 650 650.00 168. -0.00672 334.380 532.8\n", "[16.12|13:57:35] NVE-sim-1: 700 700.00 186. -0.01006 261.506 532.8\n", "[16.12|13:57:35] NVE-sim-1: 750 750.00 179. -0.00859 -768.880 532.8\n", "[16.12|13:57:35] NVE-sim-1: 800 800.00 188. -0.01042 -145.587 532.8\n", "[16.12|13:57:36] NVE-sim-1: 850 850.00 185. -0.00977 425.375 532.8\n", "[16.12|13:57:36] NVE-sim-1: 900 900.00 166. -0.00634 -96.714 532.8\n", "[16.12|13:57:36] NVE-sim-1: 950 950.00 189. -0.01046 -395.794 532.8\n", "[16.12|13:57:36] NVE-sim-1: 1000 1000.00 195. -0.01168 -26.901 532.8\n", "[16.12|13:57:36] NVE-sim-1: MD calculation finished.\n", "[16.12|13:57:36] NVE-sim-1: NORMAL TERMINATION\n", "[16.12|13:57:36] JOB NVE-sim-1 FINISHED\n", "[16.12|13:57:36] JOB NVE-sim-1 SUCCESSFUL\n" ] } ], "source": [ "nve_job.run(watch=True);" ] }, { "cell_type": "markdown", "id": "a6d8a3d0-5240-4fd0-be76-c1c99254f80d", "metadata": {}, "source": [ "The main output file from an MD simulation is called **ams.rkf**. It contains the trajectory and other properties (energies, velocities, ...). You can open the file \n", "\n", "* in the AMSmovie graphical user interface to play (visualize) the trajectory. \n", "\n", "* in the KFbrowser module (expert mode) to find out where on the file various properties are stored.\n", "\n", "Call the ``job.results.rkfpath()`` method to find out where the file is:" ] }, { "cell_type": "code", "execution_count": 8, "id": "d73c58bc-edbf-4c92-b277-4d141ae1d052", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "/home/hellstrom/adfhome/userdoc/Tutorials/MolecularDynamicsAndMonteCarlo/MDintroPython/plams_workdir/NVE-sim-1/ams.rkf\n" ] } ], "source": [ "print(nve_job.results.rkfpath())" ] }, { "cell_type": "markdown", "id": "97cbbfae-9c90-4b23-bcda-8335c4c7f5b3", "metadata": {}, "source": [ "Use ``job.results.readrkf()`` to directly read from the ams.rkf file:" ] }, { "cell_type": "code", "execution_count": 9, "id": "24b6e21c-35c6-43ea-ba55-7bd9353009cd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "There are 21 frames in the trajectory\n" ] } ], "source": [ "n_frames = nve_job.results.readrkf(\"MDHistory\", \"nEntries\")\n", "print(\"There are {} frames in the trajectory\".format(n_frames))" ] }, { "cell_type": "markdown", "id": "45847854-37b2-4b12-961d-d24fddce5ddc", "metadata": {}, "source": [ "Let's plot the potential, kinetic, and total energies:" ] }, { "cell_type": "code", "execution_count": 10, "id": "f2718fb6-d5ab-46e7-9730-2ef7cdea3766", "metadata": {}, "outputs": [], "source": [ "def plot_energies(\n", " job, title=None, kinetic_energy=True, potential_energy=True, total_energy=True, conserved_energy=False\n", "):\n", " time = job.results.get_history_property(\"Time\", \"MDHistory\")\n", " plt.figure(figsize=(5, 3))\n", " if kinetic_energy:\n", " kin_e = job.results.get_history_property(\"KineticEnergy\", \"MDHistory\")\n", " plt.plot(time, kin_e, label=\"Kinetic Energy\")\n", " if potential_energy:\n", " pot_e = job.results.get_history_property(\"PotentialEnergy\", \"MDHistory\")\n", " plt.plot(time, pot_e, label=\"Potential Energy\")\n", " if total_energy:\n", " tot_e = job.results.get_history_property(\"TotalEnergy\", \"MDHistory\")\n", " plt.plot(time, tot_e, label=\"Total Energy\")\n", " if conserved_energy:\n", " conserved_e = job.results.get_history_property(\"ConservedEnergy\", \"MDHistory\")\n", " plt.plot(time, conserved_e, label=\"Conserved Energy\")\n", " plt.legend()\n", " plt.xlabel(\"Time (fs)\")\n", " plt.ylabel(\"Energy (Ha)\")\n", " plt.title(title or job.name + \" Energies\")\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "id": "fcfb5618-5285-46e2-b7f4-2388bfafbbde", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_energies(nve_job)" ] }, { "cell_type": "markdown", "id": "6a348928-7e15-40b7-a736-c1fe77522452", "metadata": {}, "source": [ "During the NVE simulation, kinetic energy is converted into potential energy and vice versa, but the total energy remains constant.\n", "\n", "Let's also show an image of the final frame. The atoms of some molecules are split across the periodic boundary." ] }, { "cell_type": "code", "execution_count": 12, "id": "6f598d76-3890-4499-b6a9-14b91f925b97", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show(nve_job.results.get_main_molecule())" ] }, { "cell_type": "markdown", "id": "c4ed1b90-977c-4648-bebd-7619ae078ae7", "metadata": {}, "source": [ "## NVT simulation\n", "\n", "In an NVT simulation, a thermostat keeps the temperature (kinetic energy) in check. The time constant tau (in femtoseconds) indicates how \"strong\" the thermostat is. For now, let's set a Berendsen thermostat with a time constant of 100 fs." ] }, { "cell_type": "code", "execution_count": 13, "id": "5f88d2b3-e814-40d5-af1b-4243ab7d33b0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[16.12|13:57:37] JOB NVT-sim-1 STARTED\n", "[16.12|13:57:37] JOB NVT-sim-1 RUNNING\n", "[16.12|13:57:38] JOB NVT-sim-1 FINISHED\n", "[16.12|13:57:38] JOB NVT-sim-1 SUCCESSFUL\n" ] } ], "source": [ "nvt_job = AMSNVTJob(\n", " molecule=box,\n", " settings=s,\n", " name=\"NVT-sim-1\",\n", " nsteps=1000,\n", " samplingfreq=50,\n", " timestep=1.0, # femtoseconds\n", " temperature=300,\n", " thermostat=\"Berendsen\",\n", " tau=100, # femtoseconds\n", ")\n", "nvt_job.run();" ] }, { "cell_type": "code", "execution_count": 14, "id": "13b6fd92-f16e-41fc-8006-e3504e79dddf", "metadata": {}, "outputs": [], "source": [ "def plot_temperature(job, title=None):\n", " time = job.results.get_history_property(\"Time\", \"MDHistory\")\n", " temperature = job.results.get_history_property(\"Temperature\", \"MDHistory\")\n", " plt.figure(figsize=(5, 3))\n", " plt.plot(time, temperature)\n", " plt.xlabel(\"Time (fs)\")\n", " plt.ylabel(\"Temperature (K)\")\n", " plt.title(title or job.name + \" Temperature\")\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 15, "id": "dd8035a4-625c-4a89-afad-5513c145d620", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_temperature(nvt_job)\n", "plot_energies(nvt_job)" ] }, { "cell_type": "markdown", "id": "ff44ee24-f491-4f29-a6d1-e5b36b49eef2", "metadata": {}, "source": [ "In an NVT simulation, the total energy is not conserved. Instead, the quantity known as \"Conserved Energy\" is conserved:" ] }, { "cell_type": "code", "execution_count": 16, "id": "d2ebe8e8-7206-4109-bc7c-9b49e4f2ebfd", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_energies(nvt_job, conserved_energy=True)" ] }, { "cell_type": "markdown", "id": "589c6918-643d-4289-b4c6-4ad92522a745", "metadata": {}, "source": [ "## NPT simulation\n", "\n", "In an NPT simulation, a barostat is used to keep the pressure constant (fluctuating around a given value). The instantaneous pressure can fluctuate quite wildly, even with a small time constant for the barostat.\n", "\n", "Let's run an NPT simulation with the same thermostat as before and with a barostat set at 1 bar. \n", "\n", "**Note**: It is usually good to pre-equilibrate a simulation in NVT before switching on the barostat. Below we demonstrate the ``restart_from`` function, which will restart from ``nvt_job`` (final frame and velocities). You can also use ``restart_from`` together with AMSNVEJob or AMSNVTJob." ] }, { "cell_type": "code", "execution_count": 17, "id": "78822b28-5a92-4b74-a29e-682e6546b4d7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[16.12|13:57:39] JOB npt STARTED\n", "[16.12|13:57:39] JOB npt RUNNING\n", "[16.12|13:57:41] JOB npt FINISHED\n", "[16.12|13:57:41] JOB npt SUCCESSFUL\n" ] } ], "source": [ "npt_job = AMSNPTJob.restart_from(\n", " nvt_job,\n", " name=\"npt\",\n", " barostat=\"Berendsen\",\n", " pressure=1e5, # Pa\n", " barostat_tau=1000, # fs\n", " equal=\"XYZ\", # scale all lattice vectors equally\n", ")\n", "\n", "npt_job.run();" ] }, { "cell_type": "code", "execution_count": 18, "id": "6e14b401-aab8-457a-9aa5-17558497afa9", "metadata": {}, "outputs": [], "source": [ "def moving_average(x, y, window: int):\n", " if not window:\n", " return x, y\n", " window = min(len(x) - 1, window)\n", " if window <= 1:\n", " return x, y\n", " ret_x = np.convolve(x, np.ones(window) / window, mode=\"valid\")\n", " ret_y = np.convolve(y, np.ones(window) / window, mode=\"valid\")\n", " return ret_x, ret_y\n", "\n", "\n", "def plot_pressure(job, title=None, window: int = None):\n", " time = job.results.get_history_property(\"Time\", \"MDHistory\")\n", " pressure = job.results.get_history_property(\"Pressure\", \"MDHistory\")\n", " pressure = Units.convert(pressure, \"au\", \"bar\") # convert from atomic units to bar\n", " time, pressure = moving_average(time, pressure, window)\n", " plt.figure(figsize=(5, 3))\n", " plt.plot(time, pressure)\n", " plt.xlabel(\"Time (fs)\")\n", " plt.ylabel(\"Pressure (bar)\")\n", " plt.title(title or job.name + \" Pressure\")\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 19, "id": "5535b604-f54c-40c4-b064-fa7e7e9aaf8f", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_pressure(npt_job)" ] }, { "cell_type": "markdown", "id": "6428f12f-dea3-46de-b4ce-f34a1c393f14", "metadata": {}, "source": [ "Those are quite some fluctuations! Especially for the pressure it can be useful to **plot a moving average**. Here the ``window`` parameter gives the number of frames in the trajectory to average over." ] }, { "cell_type": "code", "execution_count": 20, "id": "b3d14a98-a216-4c1d-b45a-d6b1b483f34a", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_pressure(npt_job, window=10, title=\"npt Pressure moving average\")" ] }, { "cell_type": "markdown", "id": "11f9bcfd-3b0a-4bbf-9455-b3e061398805", "metadata": {}, "source": [ "From this moving average it is easier to see that the pressure is too high compared to the target pressure of 1 bar, so the simulation is not yet in equilibrium.\n", "\n", "Let's also plot the density as a function of time:" ] }, { "cell_type": "code", "execution_count": 21, "id": "b84b63a7-4d06-4874-93f8-5bc6809e297e", "metadata": {}, "outputs": [], "source": [ "def plot_density(job, title=None, window: int = None):\n", " time = job.results.get_history_property(\"Time\", \"MDHistory\")\n", " density = job.results.get_history_property(\"Density\", \"MDHistory\")\n", " density = np.array(density) * Units.convert(1.0, \"au\", \"kg\") / Units.convert(1.0, \"bohr\", \"m\") ** 3\n", " time, density = moving_average(time, density, window)\n", " plt.figure(figsize=(5, 3))\n", " plt.plot(time, density)\n", " plt.xlabel(\"Time (fs)\")\n", " plt.ylabel(\"Density (kg/m^3)\")\n", " plt.title(title or job.name + \" Density\")\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 22, "id": "77ce1ba2-ec1e-4034-8122-ffa37a88b484", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_density(npt_job)" ] }, { "cell_type": "markdown", "id": "a45d5e71-d2f5-4406-bd2d-4b1a79301490", "metadata": {}, "source": [ "Since the pressure was too high, the barostat increases the size of the simulation box (which decreases the density). Note that the initial density was 400 kg/m^3 which matches the density given to the ``packmol`` function at the top (0.4 g/cm^3)!" ] }, { "cell_type": "markdown", "id": "8c976a2a-4659-4d6b-8f36-ee9db66b3143", "metadata": {}, "source": [ "## Equilibration and Mean squared displacement (diffusion coefficient)\n", "\n", "The mean squared displacement is in practice often calculated from NVT simulations. This is illustrated here. However, best practice is to instead \n", "\n", "* average over several NVE simulations that have been initialized with velocities from NVT simulations, and to\n", "* extrapolate the diffusion coefficient to infinite box size\n", "\n", "Those points will be covered later. Here, we just illustrate the simplest possible way (that is also the most common in practice).\n", "\n", "The mean squared displacement is only meaningful for fully **equilibrated** simulations. Let's first run a reasonably long equilibration simulation, and then a production simulation. These simulations may take a few minutes to complete." ] }, { "cell_type": "code", "execution_count": 23, "id": "fdb5b3ab-f145-4c07-a10a-3952e50ef47e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[16.12|13:57:41] JOB NVT-equilibration-1 STARTED\n", "[16.12|13:57:41] JOB NVT-equilibration-1 RUNNING\n", "[16.12|13:58:50] JOB NVT-equilibration-1 FINISHED\n", "[16.12|13:58:50] JOB NVT-equilibration-1 SUCCESSFUL\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nvt_eq_job = AMSNVTJob(\n", " molecule=box,\n", " settings=s,\n", " name=\"NVT-equilibration-1\",\n", " temperature=300,\n", " thermostat=\"Berendsen\",\n", " tau=200,\n", " timestep=1.0,\n", " nsteps=40000,\n", " samplingfreq=500,\n", ")\n", "nvt_eq_job.run()\n", "plot_energies(nvt_eq_job)" ] }, { "cell_type": "markdown", "id": "671e0a2c-2f6b-4f54-b002-48a3e1765a52", "metadata": {}, "source": [ "The energies seem equilibrated, so let's run a production simulation and switch to the NHC (Nose-Hoover) thermostat" ] }, { "cell_type": "code", "execution_count": 24, "id": "02a5145f-88d4-46d7-8234-14f38341cc85", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[16.12|13:58:50] JOB NVT-production-1 STARTED\n", "[16.12|13:58:50] JOB NVT-production-1 RUNNING\n", "[16.12|14:00:17] JOB NVT-production-1 FINISHED\n", "[16.12|14:00:17] JOB NVT-production-1 SUCCESSFUL\n" ] } ], "source": [ "nvt_prod_job = AMSNVTJob.restart_from(\n", " nvt_eq_job, name=\"NVT-production-1\", nsteps=50000, thermostat=\"NHC\", samplingfreq=100\n", ")\n", "\n", "nvt_prod_job.run();" ] }, { "cell_type": "code", "execution_count": 25, "id": "18bdc7ef-dc93-4d94-8e4c-5c75d4f472c2", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_energies(nvt_prod_job)\n", "plot_temperature(nvt_prod_job)" ] }, { "cell_type": "markdown", "id": "99240249-4409-421c-9e7d-fe42a4b5fc55", "metadata": {}, "source": [ "The simulation seems to be sampling an equilibrium distribution, so it's safe to calculate the mean squared displacement. Let's use the ``AMSMSDJob`` for this. We'll also specify to only calculate the MSD for the carbon atoms of the methane molecules." ] }, { "cell_type": "code", "execution_count": 26, "id": "bdbc25fe-eca5-4b5b-b6bd-4e87eaa4c43e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Calculating MSD for carbon atoms with indices [1, 6, 11, 16, 21, 26, 31, 36]\n", "[16.12|14:00:17] JOB msd-NVT-production-1 STARTED\n", "[16.12|14:00:17] JOB msd-NVT-production-1 RUNNING\n", "[16.12|14:00:17] JOB msd-NVT-production-1 FINISHED\n", "[16.12|14:00:18] JOB msd-NVT-production-1 SUCCESSFUL\n" ] } ], "source": [ "atom_indices = [i for i, at in enumerate(nvt_prod_job.results.get_main_molecule(), 1) if at.symbol == \"C\"]\n", "print(\"Calculating MSD for carbon atoms with indices {}\".format(atom_indices))\n", "msd_job = AMSMSDJob(\n", " nvt_prod_job,\n", " name=\"msd-\" + nvt_prod_job.name,\n", " atom_indices=atom_indices, # indices start with 1 for the first atom\n", " max_correlation_time_fs=8000, # max correlation time must be set before running the job\n", " start_time_fit_fs=3000, # start_time_fit can also be changed later in the postanalysis\n", ")\n", "msd_job.run();" ] }, { "cell_type": "code", "execution_count": 27, "id": "57ead6ac-b2c6-4e7d-9185-9368fb6db4de", "metadata": {}, "outputs": [], "source": [ "def plot_msd(job, start_time_fit_fs=None):\n", " \"\"\"job: an AMSMSDJob\"\"\"\n", " time, msd = job.results.get_msd()\n", " fit_result, fit_x, fit_y = job.results.get_linear_fit(start_time_fit_fs=start_time_fit_fs)\n", " # the diffusion coefficient can also be calculated as fit_result.slope/6 (ang^2/fs)\n", " diffusion_coefficient = job.results.get_diffusion_coefficient(start_time_fit_fs=start_time_fit_fs) # m^2/s\n", " plt.figure(figsize=(5, 3))\n", " plt.plot(time, msd, label=\"MSD\")\n", " plt.plot(fit_x, fit_y, label=\"Linear fit slope={:.5f} ang^2/fs\".format(fit_result.slope))\n", " plt.legend()\n", " plt.xlabel(\"Correlation time (fs)\")\n", " plt.ylabel(\"Mean square displacement (ang^2)\")\n", " plt.title(\"MSD: Diffusion coefficient = {:.2e} m^2/s\".format(diffusion_coefficient))\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 28, "id": "e2a7e241-ccc1-47a6-80c3-ecd7499bdd3e", "metadata": {}, "outputs": [ { "data": { "image/png": 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+l1X2798PJycnqc/gtGnToKamhl27dmHDhg2Ql5dHixYt8Pvvv8PZ2blE4wM4Uebh4+OD2bNnY8OGDVi4cKHM27do0QLu7u44dOgQ4uPj871o/aXjx49DJBLluU+zpBw5cgQASrT+3I4CGRkZUsvzSwb29vYIDAwEEeHevXvYtm0b5s2bBxUVFUydOjXf+nV1dREbG5tnee71ET09vW89BACAvr6+VKeib4lFT08Purq6+XZ4AAANDY1vjPZ/ihL3l6pUqQJ5eXn069cPI0aMyLeMpaVlSYRXqEGDBmH79u1fLefq6lqiZ+EFSUxMROvWrREVFYVz585Jzpo/l/sjNiwsDI0aNZIsj4uLw7t372BnZwfgf++FadOmSZ0Bfa527doAgJs3b0otz33ti7ovALh79y569eol1ZoC5FwfFIvFiIyM/GqiLE9z586Fr68vfH19MX369DzrxWIxgoKCMHr0aKnlCgoKGD9+PMaPH48PHz7g7NmzmD59Ojw8PPDixYs8PzC+FSfKL1StWhWTJk3CgwcPMGDAgALLvXnzBvr6+nmaZ0QiER4/fgxVVVVoa2t/dX8xMTGYOHEitLS08Ouvv35r+Hn8999/WLRoESwsLNC9e/cSqzf31929e/ckH3zgf0k5PwKBAHXr1sXKlSuxbds2hIaGFli2VatW8PPzQ2hoqFSHlh07dkAgEMDNze3bDwJAu3btsHPnTjx8+FDqOIoTS/v27REYGAiRSCT1BVcaihL3l1RVVeHm5oY7d+7AwcGhwDNfWSkpKcl0hunr65vvmcOXSvKHRUFyk+SzZ88QHBwMR0fHfMu1bdsWysrK2LZtm9TfNre3cu7AELVr10bNmjUln7vCFHTmU9R9ATmtGrdu3YJIJJJKlrkdqmRtdShL8+fPh6+vL2bOnIk5c+bkW+batWuIi4tDly5dCqxHW1sbXbt2xatXrzB27FhER0fDxsamRGPlRJmPxYsXf7XMzp078eeff6J3795o0KABtLS08PLlS2zevBnh4eGYPXt2ni+i+/fvS65HxMfH459//kFAQADk5eURFBQEfX19Sdnnz5+jRo0aGDBgQJGvU96+fRtaWlrIysrC69evce7cOezcuRMGBgY4evRoiX0xAjm/WGvXro2JEyciOzsbVapUQVBQEK5cuSJV7tixY1i3bh06deqE6tWrg4hw8OBBfPjwAW3atCmw/nHjxmHHjh3w8vLCvHnzYG5ujuPHj2PdunX47bffUKtWrRI5jnnz5uHkyZNo0aIFpk+fDnt7e3z48AGnTp3C+PHjYW1tXeRYevbsid27d8PT0xNjxoxBw4YNoaioiJcvX+LChQvo2LGjpHt7WcSdn1WrVqFZs2Zo3rw5fvvtN1hYWODjx4948uSJ5BqXrOzt7XHw4EGsX78eTk5OkJOTK7T5y8LCIt+m7OJITU3FiRMnAEByfTX3mpaamhratWsnKWtlZQUg5zoikNN87OHhgTt37sDf3x/Z2dlS12j19fVRo0YNADnNkzNnzsSsWbOgo6MDd3d33Lx5E76+vvjll1+kvpj//PNPtGvXDh4eHvDx8UHVqlWRkJCAyMhIhIaGYt++fYUekyz7GjduHEaPHg1vb2/8+uuvUFVVxblz57B8+XK0bt0adevW/ZaXt9QsX74cs2fPRtu2beHl5ZXn2njjxo0B5DS72tnZ5fm8e3t7w87ODs7OztDX18fz58/h7+8Pc3Nz1KxZs+QDLrNuQxVUUXqkEuXt9RoREUETJkwgZ2dn0tfXJwUFBapSpQq5urpK3aj8+T5yH0KhkAwMDMjV1ZUWLVqU78gpuT0WP+8JWpDcXq+5DyUlJTI2NiZ3d3datWoVJScn59nmW3u9EhE9evRIcmOzvr4+jRo1io4fPy7V8/DBgwfUq1cvqlGjBqmoqJCWlhY1bNiQtm3blmcfXx7r8+fPqXfv3qSrq0uKiopUu3ZtWrp0qVSvwdzXaenSpXniwxc9RQvy4sULGjRoEBkZGZGioiKZmJhQ9+7dpW6KLkosRERZWVm0bNkyqlu3LikrK5O6ujpZW1vTr7/+So8fP5aU+9Zer0WJO79er7nLBw0aRFWrViVFRUXS19enJk2a0IIFCyRlcnu97tu3L8+2X9aZkJBAXbt2JW1tbRIIBFSWXyu58eT3+PL9bW5uLrWssG0L+uytWrWKatWqRUKhkMzMzGjOnDmUmZmZp9x///1H3bt3JwMDA1JUVCQjIyP66aefaMOGDUU+tqLu68CBA9SsWTPS09MjNTU1srW1pfnz5+cZhCA/sn7mAdCIESOKfAyF7bew1z6Xqalpvp/h5cuXU5MmTUhPT0/y+gwePLhURg0jIhIQlWOXSMYYYywfN27cQKNGjXDv3r1S6+hYVMVKlC9evEB0dDRSU1Ohr68PW1tbSW84xhhjrDIp8jXK58+fY8OGDdi7dy9evHghdc+PUChE8+bNMXToUHTp0uWbhpVijDHGKpIiZbQxY8bA3t4ejx8/xrx58xAeHo6kpCRkZmYiLi4OJ06cQLNmzTBr1iw4ODjk6fbMGGOMfa+K1PQ6adIkTJ48WapXZkFOnDiB1NRUdO3atUQCZIwxxsoTd+ZhjDHGClHuFxNfvXqFvn37QldXF6qqqqhXr57ULNdEBF9fX5iYmEBFRQUtW7ZEeHh4OUbMGGPsRyLTgAPHjx9HUFAQdHR0MGjQIKmbmhMTE9GlSxeZblhOTExE06ZN4ebmhpMnT8LAwABPnz6VGtFmyZIlWLFiBbZt24ZatWphwYIFaNOmDR4+fFikkTvEYjFev34NDQ2NMh07kjHGWMVBRPj48SNMTExk73Ba1Bsud+/eTfLy8uTl5UXNmjUjZWVl2rVrl2R9XFwcycnJyXQT55QpU6hZs2YFrheLxWRkZESLFy+WLEtPTyctLa0Cb9xNT0+npKQkySMiIqJIU/rwgx/84Ac/Kv/jxYsXMuUpIqIin1EuW7YMK1euxKhRowDkDC00cOBApKenY/DgwUWtRsqRI0fg4eGBbt264dKlS6hatSqGDx+OIUOGAACioqIQFxcHd3d3yTZKSkpwdXXFtWvX8h0b1c/PL98JaF+8eAFNTc1ixckYY+z7lpycDFNT02KNIVzkRPno0SO0b99e8rxr167Q09NDhw4dkJWVVawxLJ89e4b169dj/PjxmD59Om7cuIHRo0dDSUkJ/fv3R1xcHICcqaw+Z2hoWOCcaNOmTcP48eMlz3NfHE1NTU6UjDH2gyvOJbgiJ0pNTU28efNGahqeli1b4ujRo2jfvr3MU/4AOdcPnZ2dJaPsOzo6Ijw8HOvXr0f//v0l5b48MCIq8GCVlJR4lCDGGGMlpshXNBs2bIiTJ0/mWe7q6oqjR4/C399f5p0bGxvnmQ6lTp06iImJAQAYGRkBgOTMMld8fHyes0zGGGOsNBQ5UY4bN04yWe+XWrZsiWPHjkmdBRZF06ZN8fDhQ6lljx49grm5OYCciUyNjIwQHBwsWZ+ZmYlLly6hSZMmMu2LMcYYK45yHXDg5s2baNKkCebOnYvu3bvjxo0bGDJkCDZu3Ig+ffoAAH7//Xf4+fkhICAANWvWxKJFi3Dx4sUi3x6SnJwMLS0tJCUlFXiNkoiQnZ0NkUhUosfHGGOFUVRUlJpwmZWeouSCgpTrxM0NGjRAUFAQpk2bhnnz5sHS0hL+/v6SJAkAkydPRlpaGoYPH47ExEQ0atQIZ86cKbHZzzMzMxEbG4vU1NQSqY8xxopKIBCgWrVqUFdXL+9QWCFkPqNctmwZJk6cWFrxlLjCfkWIxWI8fvwY8vLy0NfXh1Ao5EEJGGNlgojw9u1bpKamombNmnxmWYhskRhZIoKKsPivUZmdUU6dOhVBQUHfVaIsTGZmJsRiMUxNTaGqqlre4TDGfjD6+vqIjo5GVlYWJ8oC3IlJxPSg+2hkUQW+He3KJYYiJUoiwtChQ3H27Flcvny5tGMqczx/JmOsPHALVsGS0rKw9PQDBP/7H6Yq7EHMB0ske/hDU1mxzGMpUqLs2rUrrl+/jkuXLsHU1LS0Y2KMMfaDIiIcvRcLv6P/wTvtMM4Jg6AuSIdY8T/IwQ9ABU2UQUFB2LhxI6ysrEo7HsYYYz+oFwmpmHHoPvDkLHYp7EANxdicFdUaQK7dEkC5fEZXK1KiHDt2LCZMmIC6deuiQYMGpR0TY4yxH0i2SIwtV6Lw99krmILtcBfmTLVIagYQtJkLOPQEyvESWZH2vGLFCkyePBnt2rVDWFhYacfEisDHxwcCgQDDhg3Ls2748OEQCATw8fEBkDOS0a+//gozMzMoKSnByMgIHh4eCAkJkWxjYWEBgUAAgUAAFRUVWFhYoHv37jJNm8YYY7L678UHdPvjHNKD5+OE3AS4y98GCeSBxiMgGHULqNe7XJMkIEOv1xkzZkBfXx9t27bFq1evSjMmVkSmpqYIDAzEypUroaKiAgBIT0/H3r17YWZmJinXpUsXZGVlYfv27ahevTrevHmDc+fOISEhQaq+efPmYciQIcjMzER0dDR27dqF1q1bY/78+ZgxY0aZHhtjrHJLycjGslMPEH9jH/5Q2IVqCu8AAGTpCkG7JYCB9VdqKDsy3R4ydOhQ6OrqllYs5Y6IkJZVPqPzqCjKy9wDrn79+nj27BkOHjwoGaTh4MGDMDU1RfXq1QEAHz58wJUrV3Dx4kW4uroCAMzNzdGwYcM89WloaEjG1zUzM0OLFi1gbGyM2bNno2vXrqhdu/a3HCJjjAEATofHIeDQKYxM34hmiuEAAJFGVci3XQSBTUeggvUGlnlkni5dupRGHBVCWpYINrNPl8u+I+Z5QFUo+0BJAwcOREBAgCRRbt26FYMGDcLFixcBAOrq6lBXV8ehQ4fQuHFjmWdWGTNmDObPn4/Dhw9j8uTJMsfHGGO5YpPS4Bd0A/ZPNmCn/GkoyosglhNCrtkYyDcbDwgr5v3sfAPhd65fv364cuUKoqOj8fz5c1y9ehV9+/aVrFdQUMC2bduwfft2aGtro2nTppg+fTru3btXpPp1dHRgYGCA6OjoUjoCxlhlJxITtl15ij9WzMesqH4YonACigIRRDXbQW7kDeCnmRU2SQLFOKNcvXp1vssFAgGUlZVhZWWFFi1afJejTKgoyiNinke57bs49PT04OXlhe3bt4OI4OXlBT09PakyXbp0gZeXF/755x+EhITg1KlTWLJkCTZv3izp8FOYwub/ZIyxwkS8Tsamv4PQN+EP+Mg9BgBkallC2H4Z5Gu2LufoikbmRLly5UrJ+IRVqlQBEeHDhw9QVVWFuro64uPjUb16dVy4cOG7G5xAIBAUq/mzvA0aNAgjR44EAKxduzbfMsrKymjTpg3atGmD2bNn45dffsGcOXO+mijfv3+Pt2/fSk3YzRhjX5OWKcKfJ2/A8NZSLJc7Dzk5Qpa8CuRbToHQZTigINtloPIkc9ProkWL0KBBAzx+/Bjv379HQkICHj16hEaNGmHVqlWIiYmBkZERxo0bVxrxsny0bdsWmZmZyMzMhIdH0c6IbWxs8OnTp6+WW7VqFeTk5NCpU6dvjJIx9qO49igOG5ZNhU9oF/SSPwc5ASHd+mcojgmFXPNx31WSBIpxRjlz5kwcOHAANWrUkCyzsrLCsmXL0KVLFzx79gxLliyp1J1+Khp5eXlERkZK/v+59+/fo1u3bhg0aBAcHBygoaGBW7duYcmSJejYsaNU2Y8fPyIuLg5ZWVmIiorCrl27sHnzZvj5+fGoTIyxr0pKzcLufYFo+XQpxsk9BwTAR63a0Oi8EsoWTcs7vGKTOVHGxsYiOzs7z/Ls7GzExcUBAExMTPDx48dvj44VWUHTxqirq6NRo0ZYuXIlnj59iqysLJiammLIkCGYPn26VNnZs2dj9uzZEAqFMDIyQuPGjXHu3Dm4ubmVxSEwxr5TRITzN/9DxslZGE6XATkgTV4Dgp9mQqPxL4D893dJ63Myz0fp5eWFuLg4bN68GY6OjgCAO3fuYMiQITAyMsKxY8dw9OhRTJ8+vUKM4lPYHGTp6emIioqCpaUllJWVyylCxtiPqjJ8B8UmJOHqzvlom7AzZ/ByCPC+Vk/od1wIqFWc++6/ZT5Kma9RbtmyBTo6OnBycoKSkhKUlJTg7OwMHR0dbNmyBUDOWczy5ctlrZoxxth3QiwmnDu6G+mrGqFr4iaoC9LxWsMe2YPOQr/3hgqVJL+VzOfDRkZGCA4OxoMHD/Do0SMQEaytraVGbeGmOsYYq7yiH99H/P6JaJURAgiAREEVpLecDZPmPuU+LmtpKHbDsbW1NaytK85YfIwxxkpXRtpH3Nk9B44vdsBCkIUsksdD896o03MBqqhql3d4pUbmRCkSibBt2zacO3cO8fHxEIvFUut5tgnGGKtkiPDo4h5oXZ6DxvQWEADhyvWh120l7GrUK+/oSp3MiXLMmDHYtm0bvLy8YGdnxyO2MMZYJZYcE4Y3f41BrU85c0TGQg+xjWfB0b0/BJWwmTU/MifKwMBA/P333/D09CyNeBhjjFUAlJ6Ep/tmweLpLtSECBmkiCuGfeDcdx7qa2qVd3hlSuZEKRQK+eZzxhirrMRivLu2HQrn58JKnAgAuKrQCBodl6CVfb3yja2cyHzePGHCBKxatQoy3n7JGGOsgst6EYq4lS2gd3YstMWJiCJjHLX/Aw2mnoLDD5okgWKcUV65cgUXLlzAyZMnYWtrC0VFRan1Bw8eLLHgGGOMlYFP7xF/aDr0Hv8FIxBSSBlHtfvCpfdMeBtWKe/oyp3MZ5Ta2tro3LkzXF1doaenBy0tLamHLHx9fSEQCKQeRkZGkvVEBF9fX5iYmEBFRQUtW7ZEeHi4rCH/cAQCAQ4dOlTeYRTowYMHaNy4MZSVlVGvXj1ER0dDIBDg7t27JbaPixcvQiAQ4MOHDyVWJ/t+paWloVmzZhAIBFi5cmWJ1n316lXY29tDUVHx+5s8QJSNT/+sR+pyBxg8DoQcCCcEzXG17Sn0HLsMFpwkc1A5mjNnDtna2lJsbKzkER8fL1m/ePFi0tDQoAMHDlBYWBj16NGDjI2NKTk5ucj7SEpKIgCUlJSUZ11aWhpFRERQWlpaiRxPWRkwYAB17NixwPWxsbGUnp5edgHJqHv37vTTTz9RdHQ0vXv3jrKzsyk2NpaysrKIiOjChQsEgBITE4u9j5Koo6ysXbuWLCwsSElJierXr0+XL1/+6jb79++nOnXqkFAopDp16tDBgwel1ovFYpozZw4ZGxuTsrIyubq60v379yXrc1+f/B43btyQlOnQoQMZGRmRqqoq1a1bl3bt2iW1nwMHDpCTkxNpaWlJyuzYsaMEXpWSk5WVRZ6enlS7dm1avXo1CYVC2r59e55yGzdupGbNmpG2tjZpa2tTq1at6N9//823TldXV1q/fj0RETVs2JD69u1LL168kPn9Vp7fQaJnVyhxmTPRHE2iOZoUMcuO/tyxkz58yizzWMpCYbnga8o9UdatWzffdWKxmIyMjGjx4sWSZenp6aSlpUUbNmwo8j5+xERZEYjFYkni+5KTkxPNnj27wG1/pEQZGBhIioqKtGnTJoqIiKAxY8aQmpoaPX/+vMBtrl27RvLy8rRo0SKKjIykRYsWkYKCAl2/fl1S5ms/MjMyMqR+oMbGxtIvv/xCFhYWJBaLiYho4cKFNHPmTLp69So9efKEVq1aRXJycnTkyBHJfi5cuEAHDx6kiIgIevLkCfn7+5O8vDydOnWqlF4x2YjFYurTpw/VrVuX3rx5Q0REhw8fJjU1NanjICLq3bs3rV27lu7cuUORkZE0cOBA0tLSopcvX0qVe//+PSkqKkqW6+rq0tatW4sVX7l8ByW9pg87+0sSZOJsY1qzeDLdevam7GIoB2WeKPft20fdunWjRo0akaOjo9RDFnPmzCFVVVUyNjYmCwsL6tGjBz19+pSIiJ4+fUoAKDQ0VGqbDh06UP/+/QusMz09nZKSkiSPFy9eFD1RisVEGSnl8/j/L6ei+FqiBEBBQUFERBQVFUUA6MCBA9SyZUtSUVEhBwcHunbtmtQ2V69epebNm5OysjJVq1aNRo0aRSkpKZL1O3fuJCcnJ1JXVydDQ0Pq1auX5IuH6H+J6dSpU+Tk5ESKiop0/vz5fGP7/DFnzhxJjHfu3JH8//PHgAED8j3O6Ohoat++PWlra5OqqirZ2NjQ8ePHpeL5PFHu37+fbGxsSCgUkrm5OS1btkyqPnNzc5o3bx716tWL1NTUyNjYmFavXi1V5sOHDzRkyBDS19cnDQ0NcnNzo7t37xb4t/iahg0b0rBhw6SWWVtb09SpUwvcpnv37tS2bVupZR4eHtSzZ08iKt6PzMzMTDIwMKB58+YVGq+npycNHDiw0DKOjo40c+bMAtc/efKEOnToQAYGBqSmpkbOzs4UHBwsVcbc3JwWLlxIAwcOJHV1dTI1NaU///xTqszVq1epbt26pKSkRE5OThQUFCR5H+UaNWoUNWzYkBISEqS2PXPmDOnq6tKlS5cKjDM7O5s0NDTynH3u2LGDnJ2d832vBgQEUEJCAvXu3Zv09PRIWVmZrKysCkykZZoos9Ip/cIyyphrSDRHk0Szteiv2Z1px9lblJUtKv39l7NvSZQyd+ZZvXo1ZsyYgQEDBuDw4cMYOHAgnj59ips3b2LEiBEy1dWoUSPs2LEDtWrVwps3b7BgwQI0adIE4eHhkim7DA0NpbYxNDTE8+fPC6zTz88Pc+fOlfWwcmSlAotMirftt5r+GhCqlVr1M2bMwLJly1CzZk3MmDEDvXr1wpMnT6CgoICwsDB4eHhg/vz52LJlC96+fYuRI0di5MiRCAgIAABkZmZi/vz5qF27NuLj4zFu3Dj4+PjgxIkTUvuZPHkyli1bhurVq0NbWztPHLGxsWjdujXatm2LiRMnQl1dHe/evZOsNzU1xYEDB9ClSxc8fPgQmpqaUFFRyfeYRowYgczMTFy+fBlqamqIiIiAurp6vmVv376N7t27w9fXFz169MC1a9cwfPhw6OrqwsfHR1Ju6dKlmD59Onx9fXH69GmMGzcO1tbWaNOmDYgIXl5e0NHRwYkTJ6ClpYU///wTrVq1wqNHj6Cjo4N//vkH7dq1K/RvMX36dEyfPh2ZmZm4ffs2pk6dKrXe3d0d165dK3D7kJCQPBOje3h4wN/fHwAQFRWFuLg4uLu7S9YrKSnB1dUV165dw6+//pqnziNHjuDdu3dSr0V+kpKSUKdOnXzXERHOnz+Phw8f4vfffy+wjpSUFHh6emLBggVQVlbG9u3b4e3tjYcPH8LMzExSbvny5Zg/fz6mT5+O/fv347fffkOLFi1gbW2Njx8/wtvbG56entizZw+eP3+OsWPH5tnX6tWr842hTZs2Uu+7/KSmpiIrKws6OjpSy48cOYKOHTvC1NQUsbGxqF27NubNm4cePXpAS0sLkyZNQkREBE6ePAk9PT08efIEaWlphe6rtNHjYHw6NAHqn3K+O0PFVjhtNhE+3TrBWCv/zxf7H5kT5bp167Bx40b06tUL27dvx+TJk1G9enXMnj0bCQkJMtX1+ReKvb09XFxcUKNGDWzfvh2NGzcGgDwj/xBRoaMBTZs2DePHj5c8T05OhqmpqUxxVUYTJ06El5cXAGDu3LmwtbXFkydPYG1tjaVLl6J3796SL5qaNWti9erVcHV1xfr166GsrIxBgwZJ6qpevTpWr16Nhg0bIiUlRSo5zZs3D23atCkwDiMjIygoKEBdXV3ScevzLyx5eXnJF5OBgUG+yTZXTEwMunTpAnt7e0lcBVmxYgVatWqFWbNmAQBq1aqFiIgILF26VCo5NG3aVJK4atWqhatXr2LlypVo06YNLly4gLCwMMTHx0NJKWeG9mXLluHQoUPYv38/hg4dCmdn5692Sso9vnfv3kEkEuX7YzD3h2J+4uLiCt2mOD8yt2zZAg8Pj0I/K/v378fNmzfx559/Si1PSkpC1apVkZGRAXl5eaxbt67Q90DdunVRt25dyfMFCxYgKCgIR44cwciRIyXLPT09MXz4cADAlClTsHLlSly8eBHW1tbYvXs3BAIBNm3aBGVlZdjY2ODVq1cYMmRIgfuV1dSpU1G1alW0bt1asiwjIwOnT5/G7NmzIS8vDyMjIwgEAmhpaUnezzExMXB0dISzszMAwMLCosRikllCFFKOTIZ69BmoA3hLWtik5AOXn4djmrXRVzdnOWROlDExMWjSpAkAQEVFRTJBc79+/dC4cWOsWbOm2MGoqanB3t4ejx8/lvQei4uLg7GxsaRMfHx8ni+Az+VO/VUsiqo5Z3blQVG1VKt3cHCQ/D/39YyPj4e1tTVu376NJ0+eYPfu3ZIyRASxWIyoqCjUqVMHd+7cga+vL+7evYuEhATJGL8xMTGwsbGRbJf75VAWRo8ejd9++w1nzpxB69at0aVLF6nj/FxkZCQ6duwotaxp06bw9/eHSCSCvLw8AMDFxUWqjIuLi+RM7fbt20hJSYGurvT0QWlpaXj69CmAnM+ErANyyPpjsKjbFLXely9f4vTp0/j7778L3N/Fixfh4+ODTZs2wdbWVmqdhoYG7t69i5SUFJw7dw7jx49H9erV0bJly3zr+vTpE+bOnYtjx47h9evXyM7ORlpaGmJiYqTKff63zO0RHx8fDwB4+PAhHBwcpOZwbNiwYYHxy2rJkiXYu3cvLl68KLWP8+fPQ1dXV/LjLD+//fYbunTpgtDQULi7u6NTp06S78wyk5mKzEvLIXdtNdQpE1kkj53UFllNJ2H8Tw5QVpQv23i+c8WaZuv9+/cwNzeHubk5rl+/jrp16yIqKuqbByHIyMhAZGQkmjdvDktLS8mUXrkTRGdmZuLSpUuFNut8E4GgVJs/y9Pn97vmflnmJjuxWIxff/0Vo0ePzrOdmZkZPn36BHd3d7i7u2PXrl3Q19dHTEwMPDw8kJmZKVVeTa3sXr9ffvkFHh4eOH78OM6cOQM/Pz8sX74co0aNylM2vyRR1Pfr56+XsbExLl68mKdM7pmvLE2venp6kJeXz3P2+LUfg0ZGRoVuk3tmU9QfmQEBAdDV1UWHDh3y3d+lS5fg7e2NFStWoH///nnWy8nJSX4c1KtXD5GRkfDz8yswUU6aNAmnT5/GsmXLYGVlBRUVFXTt2jXPe+nLe7QFAoHkPfstf8+vWbZsGRYtWoSzZ8/m+eGV2+xamHbt2uH58+c4fvw4zp49i1atWmHEiBFYtmxZicRXKCJQxGGkHZsK1bRYAMAVkS1Om43H0C6eMNUp3R/klZXMifKnn37C0aNHUb9+fQwePBjjxo3D/v37cevWLfz8888y1TVx4kR4e3vDzMwM8fHxWLBgAZKTkzFgwAAIBAKMHTsWixYtQs2aNVGzZk0sWrQIqqqq6N27t6xhs0LUr18f4eHhBZ4JhYWF4d27d1i8eLGkae7WrVulFo9QKASQM1PN15iammLYsGEYNmwYpk2bhk2bNuWbKG1sbHDlyhWpZdeuXUOtWrUkZ5MAcP36daky169fl0wnV79+fcTFxUFBQaHA5jRZml6FQiGcnJwQHByMzp07S9YHBwcX+mXs4uKC4OBgqeuUZ86ckZy1yPIjk4gQEBCA/v3750lMQM6ZZPv27fH7779j6NChhR7X53VmZGQUuP6ff/6Bj4+P5JhTUlIQHR1dpLpz5Ta/ZmRkSFqQSuI9uXTpUixYsACnT5/O0zpCRDh69Ch27Njx1Xr09fXh4+MDHx8fNG/eHJMmTSr9RBn/AJ8OT4DaqytQBfCS9PCn8iD81OkXzK9T8A8v9nUyJ8qNGzdKftUNGzYMOjo6uHLlCry9vTFs2DCZ6nr58iV69eqFd+/eQV9fH40bN8b169dhbm4OIKdjSFpaGoYPH47ExEQ0atQIZ86cgYaGhqxhVzpJSUl5vpB1dHSkOkMU1ZQpU9C4cWOMGDECQ4YMgZqaGiIjIxEcHIw//vgDZmZmEAqF+OOPPzBs2DDcv38f8+fPL6Ejycvc3BwCgQDHjh2Dp6cnVFRU8u2kM3bsWLRr1w61atVCYmIizp8/X2BHkwkTJqBBgwaYP38+evTogZCQEKxZswbr1q2TKnf16lUsWbIEnTp1QnBwMPbt24fjx48DAFq3bg0XFxd06tQJv//+O2rXro3Xr1/jxIkT6NSpE5ydnWVueh0/fjz69esHZ2dnuLi4YOPGjYiJiZH6LPXv3x9Vq1aFn58fgJwZfFq0aIHff/8dHTt2xOHDh3H27FnJDwFZfmSeP38eUVFRGDx4cJ7YLl68CC8vL4wZMwZdunSRnMUKhUJJsvfz84OzszNq1KiBzMxMnDhxAjt27MD69esLPGYrKyscPHgQ3t7eEAgEmDVrVp7p+r6md+/emDFjBoYOHYqpU6ciJiZGkoiKO6PRkiVLMGvWLOzZswcWFhaS41VXV4e6ujpu376NT58+oUWLFoXWM3v2bDg5OcHW1hYZGRk4duxYge/LEpGehIxzi6BwcxPU/n/w8s3UAQotxmGGqw03s5aEkuh2W5FV1vsokc+N4rm3USCf20M+7zKfmJhIAOjChQuSZTdu3KA2bdqQuro6qampkYODAy1cuFCyfs+ePZKb4l1cXOjIkSNS9cpy32LdunVpzpw5kuf5xThv3jwyMjIigUBQ4O0hI0eOpBo1apCSkhLp6+tTv3796N27dwXGk3t7iKKiIpmZmdHSpUul6jM3N6e5c+dS9+7dSVVVlQwNDcnf31+qTHJyMo0aNYpMTExIUVGRTE1NqU+fPhQTE/PV4y7I2rVrydzcnIRCIdWvXz/PLQuurq55XoN9+/ZR7dq1SVFRkaytrenAgQNS63MHHDAyMiIlJSVq0aIFhYWF5dl3r169qEmTJvnGVdD7zNXVVVJmxowZZGVlRcrKylSlShVycXGhwMDAQo83KiqK3NzcSEVFhUxNTWnNmjXk6upKY8aMkZQxNzenlStXSm335fvm6tWr5ODgQEKhkJycnGjPnj0EgB48eFDo/gtibm6e7/Hm7nPmzJnUp0+fPNtpaWlRQECA5Pn8+fOpTp06pKKiQjo6OtSxY0d69uxZvvv8pu8gkYjEoTspbZGl5J7IUzN/ohlbj9LLxFTZ66vkvuX2EAHR1xv2Y2JiZDpTefXqFapWrVrk8qUpOTkZWlpaSEpKgqamptS69PR0REVFwdLSUuqCPfsxWVhYYOzYsfneZsAqvt27d2PgwIFISkoq8Jaib+Hg4ICZM2eie/fuJVZnsb+DXoUi9fAEqMaHAgCeio3xp9pQeP/cD81r6pdYfJVJYbnga4o01muDBg0wZMgQ3Lhxo8AySUlJ2LRpE+zs7HhgdMZYqduxYweuXLmCqKgoHDp0CFOmTEH37t1LJUlmZmaiS5cuX+2oVeo+vUdm0EjQpp+gGh+KFFLGMnFvnHM7hAUTxnKSLCVFukYZGRmJRYsWoW3btlBUVISzszNMTEygrKyMxMREREREIDw8HM7Ozli6dGn5v5kYY5VeXFwcZs+eLend261bNyxcuLBU9iUUCjFnzpxSqbtIRNmgW1uRdXY+hFnJAIAgUVPcrDkWozo250EDSlmRml5zpaen48SJE/jnn38QHR2NtLQ06OnpwdHRER4eHrCzsyvNWIuFm14ZYxVVkb6Doq8i/egEKL+PBABEiM2xQW0Yuv3cjc8gZfAtTa8y9XpVVlbGzz//LPNtIIwxxmSU/BpZp2ZAMeIglAF8IDWsoh7QbzkMS1tYQUmBe7OWFZlvD6mMZDipZoyxEpPvd092BihkHUQXf4eiKA1iEmCv6CeEWo3EuI6NUa0KDxpQ1n7oRJl7g3VqamqpdABgjLHC5I5GJBn04nEwMo5NglJSFBQA3BbXxJ9qv6FP5w7oU4ubWcvLD50o5eXloa2tLRk/UlVVtdg3KzPGmCzEYjHevn0LVVVVKCS/QNaJqVB8ehpKyBm8fDn1gWnLgfijRQ1uZi1nP3SiBP43LmZusmSMsbIiB8A05iDEV5ZCUZwzePk2kQce1B6OCd7OMNHmlq6KQOZEefnyZTRp0gQKCtKbZmdn49q1a18d3qmiEQgEMDY2hoGBAbKysso7HMbYj4AIeHIWOD0NSikvAOQMXh6gORyDO7fFECu9cg6QfU7mROnm5obY2FgYGBhILU9KSoKbm1uRBrKuiOTl5aUGx2aMsVIRH4nMY5MgjPkHQM7g5cswAHZt+mBDU0soyhdpHBhWhmROlFTAnHbv378v0ymWGGPsu5KeBNEFPwhubISQcgYv3yDyxmu7XzHdqx4MNPhe7oqqyIky995JgUAAHx8fqcmRRSIR7t27V/aTkzLGWEUnFgP/7UXm6VkQpr8HAJwWOeMvnWEY8XMrOJnrlHOA7GuKnCi1tLQA5JxRamhoSN1OIRQK0bhxYwwZMqTkI2SMse/Vq1BkHJkApTehECJn8PLl8oPQrH1PbGpgCnk57mX/PShyogwICACQM8PCxIkTuZmVMcYK8ukdsoN9IX93F5RASCFlrBV1RqbzMPi520JLNe8k2azikmms1+/Rt4zvxxhjMhFlg25tQfbZBVD8/8HLD4qa4azJcIzu3BzWRvwdVF7KbKxXAHjz5g0mTpyIc+fOIT4+Ps8QTN9rr1fGGPsmnw1ergggXGyONcpD4e3dBWvtjHgwk++YzInSx8cHMTExmDVrFoyNjfmPzxj7sSW/RubJGRBG5gxenkjqWCXuDu3mQ7GiZS2oCPm2s++dzInyypUr+Oeff1CvXr1SCIcxxr4T2RkQX1sL0aUlEP7/4OV7RD/hbs2RGOPdGKY6PHh5ZSFzojQ1NeXZNhhjP7bHwUg7MhEqH6MhB+CWuBa2av6Gvp06oC+PqlPpyJwo/f39MXXqVPz555+wsLAohZAYY6yCSohC2rEpUHl2GioA4kkb/oK+qOU+GKtdLKDAo+pUSjInyh49eiA1NRU1atSAqqqqZKqqXAkJCSUWHGOMVQiZqci+tAy49gdUKGfw8gBRW8TVG42J7epDR01Y3hGyUlSsM0rGGPshEIHCDyH9+DSopMUCAP4R2eGg4Wj88nNb2JpolXOArCzInCgHDBhQGnEwxljFEh+JlEPjof76GlSQM3j5GsVBaNLJByvqmnCP/x9IseajfPr0KQICAvD06VOsWrUKBgYGOHXqFExNTWFra1vSMTLGWNlJ+4DU4AVQCt0KdYiQTorYTB0gaDoOc9xs+HaPH5DMV54vXboEe3t7/Pvvvzh48CBSUlIAAPfu3cOcOXNKPEDGGCsTYjGybu1A6gpHqIZugjxEOC1yxu81duDn8WsxwsOek+QPSuZEOXXqVCxYsADBwcEQCv93AdvNzQ0hISHFDsTPzw8CgQBjx46VLMvIyMCoUaOgp6cHNTU1dOjQAS9fviz2PhhjLD/08jY+rGkJxWOjoJqVgKdiY8zRWgC9X/ZjTn9PmGirfL0SVmnJnCjDwsLQuXPnPMv19fXx/v37YgVx8+ZNbNy4EQ4ODlLLx44di6CgIAQGBuLKlStISUlB+/bteZg8xljJ+PQOiYG/gja3gnbCf0ghZayW7497HU5gzpiRcDKvUt4RsgpA5muU2traiI2NhaWlpdTyO3fuoGrVqjIHkJKSgj59+mDTpk1YsGCBZHlSUhK2bNmCnTt3onXr1gCAXbt2wdTUFGfPnoWHh0e+9WVkZCAjI0PyPDk5WeaYGGOVnCgbH6/8CYXLi1BFlHP56LC4GWIbTsPgNo2hplSs7huskpL5jLJ3796YMmUK4uLiIBAIIBaLcfXqVUycOBH9+/eXOYARI0bAy8tLkgxz3b59G1lZWXB3d5csMzExgZ2dHa5du1ZgfX5+ftDS0pI8TE1NZY6JMVZ5ZTy5jHcrGkHjwnSoiFIQLjbHCtPVcBq3D8PaN+MkyfKQ+R2xcOFC+Pj4oGrVqiAi2NjYQCQSoXfv3pg5c6ZMdQUGBiI0NBQ3b97Msy4uLg5CoRBVqkg3fRgaGiIuLq7AOqdNm4bx48dLnicnJ3OyZIxB/OElXu+bhGqvTkAJOYOXB6r3R4Mu4zG+un55h8cqMJkTpaKiInbv3o158+bhzp07EIvFcHR0RM2aNWWq58WLFxgzZgzOnDkDZWXlIm9HRIXev6SkpAQlJSWZYmGMVWLZGXh5Yil0Q/9ANaRDTAIckneH0H02fm1oCzk5vh+SFa7YbQw1atRAjRo1ir3j27dvIz4+Hk5OTpJlIpEIly9fxpo1a3D69GlkZmYiMTFR6qwyPj4eTZo0KfZ+GWM/jtc3D0H+9HRUy34FALhDtfCo/mx0aOfJt3qwIpM5URIR9u/fjwsXLiA+Ph5isVhq/cGDB4tUT6tWrRAWFia1bODAgbC2tsaUKVNgamoKRUVFBAcHo3v37gCA2NhY3L9/H0uWLJE1bMbYD+RdzAO83TcOdT7m9GeIJ21cNBuJlt1GwlGTb/VgspE5UY4ZMwYbN26Em5sbDA0Niz2Mk4aGBuzs7KSWqampQVdXV7J88ODBmDBhAnR1daGjo4OJEyfC3t4+T8cfxhgDgI/JHxD+ty8cX+yCniALWSSP89pdYNVtHrpXMy7v8Nh3SuZEuWvXLhw8eBCenp6lEY+UlStXQkFBAd27d0daWhpatWqFbdu2QV6em0wYY/+TkZWNa0c2wzpsKRrjHSAA7io6QsFrCTzqNSzv8Nh3TkAyzsJsaWmJkydPwtraurRiKlHJycnQ0tJCUlISNDU1yzscxlgJIiJcvHIZmhemw0l8HwAQJzDA68az4dimDwRyPD8ky/EtuUDmM0pfX1/MnTsXW7duhYoKt/UzxsrHvcfRiDk4G21Tj0JBIEY6hHhc8xfU6TITRspq5R0eq0RkTpTdunXD3r17YWBgAAsLizwTN4eGhpZYcIwx9qXXiZ9w8a9VaBO7Hg6CZEAAPNF1Q9UeK2BvUL28w2OVkMyJ0sfHB7dv30bfvn2/qTMPY4zJIj1LhEPHjsL67nz0FjwBBMAboRmE3stgZZ//kJaMlQSZE+Xx48dx+vRpNGvWrDTiYYwxKUSE86GRSD0xC92zz0FOQEgVqCKp4XgYtxkDKAi/Xglj30DmRGlqasqdYhhjZeJRbCJC/lqCTonboCVIBQTAS7MOqNp1CVQ1+XYPVjZk7hK2fPlyTJ48GdHR0aUQDmOMAYmfMrF1106I1zfHgA/roCVIRbxaLaT3O4Fqg3ZCwEmSlSGZzyj79u2L1NRU1KhRA6qqqnk68yQkJJRYcIyxH0uWSIwDF25A68pcDMI1QA5IkdNAZosZMGgxFJDje6hZ2ZM5Ufr7+5dCGIyxHxkR4fz9l3h29Hf0yfgbqoIMiCCHt7V6wajTAkBVp7xDZD8wmRPlgAEDSiMOxtgP6v6rJJw4sA3d3q1FK7k3gACIr+II3a7+MKpar7zDY6x4s4c8ffoUAQEBePr0KVatWgUDAwOcOnUKpqamsLW1LekYGWOVUGxSGrYePY/GD5disvydnGZWRV3Ie8yHgVNvgG89YxWEzJ15Ll26BHt7e/z77784ePAgUlJSAAD37t3DnDlzSjxAxljl8ikjG6tP/YdDy3/DxMf90Ur+DkSQx8f6v0F9wl2oOPfhJMkqFJnPKKdOnYoFCxZg/Pjx0NDQkCx3c3PDqlWrSjQ4xljlIRITDtx+gbunAjAyextM5HI6/iVXbQHNTsuhoV+rnCNkLH8yJ8qwsDDs2bMnz3J9fX28f/++RIJijFUuN6ISEBB0HP0T16G7fAQgAFJVq0LF+3doWrfnM0hWocmcKLW1tREbGwtLS0up5Xfu3EHVqlVLLDDG2Pfv1Yc0+B+9CZuHa/CHfDAU5MXIllMCmo2FavNxgCJPrMAqPpkTZe/evTFlyhTs27cPAoEAYrEYV69excSJE9G/f//SiJEx9p1JzxJhw8XHiP9nK6YI9kJPIRkAkFHTE0qei4Eq5uUcIWNFJ/N8lFlZWfDx8UFgYCCICAoKChCJROjdu3eFnFSZ56NkrOwQEU6Hx2H/kcMYmb4R9eSeAgAytK2g5L0UqPFTOUfIflTfkgtkTpS5nj17htDQUIjFYjg6OqJmzZrFqabUcaJkrGw8fvMRKw5dheuL9eipcBEAkKWgBgW3qRA0GsaDl7NyVaYTN+eqXr06qlfnud8Y+9Elp2dh1ZlI0I3N+F1+HzQVUgEA2XY9oOgxD9AwKucIGfs2MifKrl27wtnZGVOnTpVavnTpUty4cQP79u0rseAYYxWXWEw4EPoSZ0/sx7jsLbBWeAEAyNS3g9B7BRTMGpVzhIyVjGINOODl5ZVnedu2bXH58uUSCYoxVrHde/kBQ9cegfLhX/Cn2BfWci+QJdQG2q+E8LfLACdJVonIfEaZkpICoTDvtQZFRUUkJyeXSFCMsYop8VMmlp8Mg+bdP7Fa/hBU5TMghhzIaSAUW83kwctZpSRzorSzs8Nff/2F2bNnSy0PDAyEjY1NiQXGGKs4RGLC3hsx+Pf0HowXBcBS4Q0AINOkIYTeywFjh3KOkLHSI3OinDVrFrp06YKnT5/ip59yunqfO3cOe/fu5euTjFVCd2ISsf5gMHq8X4c//n/w8kwVAwjbLoDQoTuPqsMqPZkTZYcOHXDo0CEsWrQI+/fvh4qKChwcHHD27Fm4urqWRoyMsXLwITUTK07cheHdNfhD/jiU5LMhEihA0Pg3CFtOAZQ0vl4JY5VAse+j/F7wfZSMyUYsJuy//QKhJ7ZitHg7TAQ5g5dnWrhB2H4poFcx75lmrDDfkgtk7vVaktavXw8HBwdoampCU1MTLi4uOHnypGR9RkYGRo0aBT09PaipqaFDhw54+fJlOUbMWOX2IC4Zk9bugemRHlhMK2EiSEC6ejWgx24IBwRxkmQ/JJmbXkUiEVauXIm///4bMTExyMzMlFqfkJBQ5LqqVauGxYsXw8rKCgCwfft2dOzYEXfu3IGtrS3Gjh2Lo0ePIjAwELq6upgwYQLat2+P27dvV7ih8hj7nqVkZGP9ydswuL0cv8v9b/ByQfPxUG42hgcvZz80mZteZ8+ejc2bN2P8+PGYNWsWZsyYgejoaBw6dAizZ8/G6NGjvykgHR0dLF26FF27doW+vj527tyJHj16AABev34NU1NTnDhxAh4eHkWqj5teGSsYEeFk2GuEHl6LYdk7oSfIucUrrYYnVNrz4OWs8ijTIex2796NTZs2wcvLC3PnzkWvXr1Qo0YNODg44Pr168VOlCKRCPv27cOnT5/g4uKC27dvIysrC+7u7pIyJiYmsLOzw7Vr1wpMlBkZGcjIyJA853s7Gcvfs7cp2L7vADrHrYKn3FNAAHzSrA61jsuhwoOXMyYhc6KMi4uDvb09AEBdXR1JSUkAgPbt22PWrFkyBxAWFgYXFxekp6dDXV0dQUFBsLGxwd27dyEUClGlShWp8oaGhoiLiyuwPj8/P8ydO1fmOBj7UaRmZmPL6Rswuvk75spdBOSADHk1yLlNhZrLb4C8YnmHyFiFInOirFatGmJjY2FmZgYrKyucOXMG9evXx82bN6GkpCRzALVr18bdu3fx4cMHHDhwAAMGDMClS5cKLE9EEBRy39a0adMwfvx4yfPk5GSYmprKHBdjlQ0R4dS9l3h4ZAUGZQdCUy5n8PIU625Q91oIaBiWc4SMVUwyJ8rOnTvj3LlzaNSoEcaMGYNevXphy5YtiImJwbhx42QOQCgUSjrzODs74+bNm1i1ahV69OiBzMxMJCYmSp1VxsfHo0mTJgXWp6SkVKyEzVhl9uxtCvb+vQdd3qxGO7kXgABI1raBxs8roW7WuLzDY6xCkzlRLl68WPL/rl27olq1arh27RqsrKzQoUOHbw6IiJCRkQEnJycoKioiODgY3bt3BwDExsbi/v37WLJkyTfvh7EfQVqmCDtOXYXprYWYIXcdkAPSFDSh0MYXmg18ADnuPc7Y1xR7PspcjRs3RuPGxftFOn36dLRr1w6mpqb4+PEjAgMDcfHiRZw6dQpaWloYPHgwJkyYAF1dXejo6GDixImwt7dH69atvzVsxio1IsLZsBd4dmQx+mXth6pczuDlKXb9oOnpy4OXMyaDIiXKI0eOFLlCWc4q37x5g379+iE2NhZaWlpwcHDAqVOn0KZNGwDAypUroaCggO7duyMtLQ2tWrXCtm3b+B5KxgoR8z4VB//agk5xf6CN3BtAACToOqFK15XQNK5b3uEx9t0p0n2UcnJFG8BHIBBAJBJ9c1Alie+jZD+K9CwRAk9dgvnNeXCTuwMASFHUg2K7BVBy7MmDl7MfWqnfRykWi4sVGGOsbFyJeI7ooLnolXkYSnLZyIYCPjoORZW203nwcsa+0Tdfo2SMlZ/YD6k4EbgO7WLXopkgARAAbwybw6DrClTRr1Xe4TFWKRQrUZ47dw4rV65EZGQkBAIBrK2tMXbsWO5kw1gZyRKJceRMMEyv+2KwIAIQAIlCEyi3XwxD+w7czMpYCZJ59pA1a9agbdu20NDQwJgxYzB69GhoamrC09MTa9asKY0YGWOfufc4Gsd/74+O13uioSACGRAi3nkCqkwKhYpDR06SjJUwmQdFr1q1KqZNm4aRI0dKLV+7di0WLlyI169fl2iA34o787DKIjktA+f3rkCz5+skg5e/MGqNqt1XQE6HBy9nrDBlOh9lcnIy2rZtm2e5u7s7D0DOWCkgIly7dBovljRBp5jF0BMkI05ojuRu+2A67AAnScZKmcyJskOHDggKCsqz/PDhw/D29i6RoBhjOd7ExuDK8p5ocqE7bOkJPkEFUfWnw2jKbWjaun+9AsbYN5O5M0+dOnWwcOFCXLx4ES4uLgCA69ev4+rVq5gwYQJWr14tKfutc1My9qMSZWXi9v6lsH6wBs0FOYOX39f3glXvZbCsYlLO0TH2Y5H5GqWlpWXRKhYI8OzZs2IFVZL4GiX73sTcPgWcmAwz0XMAwFMFKyi0Xw7zei3LNzDGvmNlOnFzVFSUrJswxoog/d1zRO0ZjzoJZwEAiaSBB7Zj0ejnsZBT4FueGSsv3/zpE4lECAsLg7m5eZ5JlhljRZCVjqijv8Po3lrUQQZEJMA/Wt6w7vM7XAy5mZWx8iZzZ56xY8diy5YtAHKSZIsWLVC/fn2Ympri4sWLJR0fY5Xah7tH8HaJIyzvrYAKMnBXUAc33IPQcvxOGHGSZKxCkPmMcv/+/ejbty8A4OjRo4iOjsaDBw+wY8cOzJgxA1evXi3xIBmrbERvnyD2r7Go9u4fAMAb0sa16mPRpsdIqCsrlnN0jLHPyXxG+e7dOxgZGQEATpw4gW7duqFWrVoYPHgwwsLCSjxAxiqVjBS8PTQN4rWNUO3dP8gkeRxQ6YL3PtfQecA4TpKMVUAyn1EaGhoiIiICxsbGOHXqFNatWwcASE1N5XkiGSsIEdLv7kPmienQz3oLALhCdfG22Tx0auUKeTkedo6xikrmRDlw4EB0794dxsbGEAgEkkmW//33X1hbW5d4gIx99+LuI/HAOFR5ewPKAF6I9XGi6mh06jkEzbRUyjs6xthXyJwofX19YWdnhxcvXqBbt25QUlICAMjLy2Pq1KklHiBj3620RHw6PR/KdwNQBWKkkyJ2KXZBzU4z8KudWXlHxxgrIpkHHPje8IADrMyJxRCH7kTm6TlQzkoEAJwUN8Sz+tMw0LMFVIV8TyRjZa3UBxxYvXo1hg4dCmVlZakh6vLDw9axH9rLW0g9NA6q7+5BGcBjcVXs0hmOnj36o50x/1Bj7HtUpDNKS0tL3Lp1C7q6uoUOYVdRhq37HJ9RsjKREo+s03OgGLYHAJBMKtgg6Iaq7mPQq3ENyHFnHcbKVamfUX4+bB0PYcfYZ0RZoBsbkX1uERSzUwAA+0UtcKfWGIzp1AwGGsrlHCBj7FvxxRLGiuvZJWQcmwSlhIdQBHBPbIkNqr+i589dsbCWfnlHxxgrIUVKlOPHjy9yhStWrCh2MIx9L1LTUpEVOBRamXFIIHWsEPeCoesvWOFaE8qKfD8xY5VJkRLlnTt3pJ7fvn0bIpEItWvXBgA8evQI8vLycHJyKvkIGatAiAgn78dhwbEI2Kf0RBO5cNyy/A2TOrnATFe1vMNjjJWCIiXKCxcuSP6/YsUKaGhoYPv27ZLZQhITEzFw4EA0b968dKJkrAJ4+jYFvkfC8c/jdwAAuSqu6Oo9HKvrGEAg4M46jFVWMo/1unz5cvj5+UlNqVWlShUsWLAAy5cvl6kuPz8/NGjQABoaGjAwMECnTp3w8OFDqTIZGRkYNWoU9PT0oKamhg4dOuDly5eyhs1YsaVmZmPJqQdo638Z/zx+B6GCHEa3qomz413RxsaQkyRjlZzMiTI5ORlv3rzJszw+Ph4fP36Uqa5Lly5hxIgRuH79OoKDg5GdnQ13d3d8+vRJUmbs2LEICgpCYGAgrly5gpSUFLRv3x4ikUjW0BmTCRHhZFgsWi+/hHUXnyJLRHCrrY/gcS0wvk0tvhbJ2A9C5pF5+vfvj0uXLmH58uVo3LgxAOD69euYNGkSWrRoge3btxc7mLdv38LAwACXLl1CixYtkJSUBH19fezcuRM9evQAALx+/RqmpqY4ceIEPDw8vlon30fJiuPZ2xTM+ayZtVoVFczxtkVrbmZl7LtU6vdRfm7Dhg2YOHEi+vbti6ysrJxKFBQwePBgLF26VNbqpCQlJQEAdHR0AOR0GsrKyoK7u7ukjImJCezs7HDt2rV8E2VGRgYyMjIkz5OTk78pJvZjSc8SYe2FJ/jz0jNkisQQKshhmGsNDG9Zg88gGftByZwoVVVVsW7dOixduhRPnz4FEcHKygpqamrfFAgRYfz48WjWrBns7OwAAHFxcRAKhVLXQ4Gcqb7i4uLyrcfPzw9z5879pljYj+nCg3jMPnIfLxLSAACutfQxt4MtLPS+7b3NGPu+FXvAATU1NTg4OJRYICNHjsS9e/dw5cqVr5YlogKbv6ZNmyZ132dycjJMTU1LLE5W+bz+kIZ5RyNwKjznx5eRpjLmeNugrZ0RN7MyxirGyDyjRo3CkSNHcPnyZVSrVk2y3MjICJmZmUhMTJQ6q4yPj0eTJk3yrUtJSUky9RdjhckSibH1ShRWnXuM1EwR5OUEGNzMEqNb1YS6UoX4aDDGKgCZe72WJCLCyJEjcfDgQZw/fz7PgOtOTk5QVFREcHCwZFlsbCzu379fYKJkrCiuP3sPz1X/wO/kA6RmitDAogqOj26G6Z51OEkyxqSU6zfCiBEjsGfPHhw+fBgaGhqS645aWlpQUVGBlpYWBg8ejAkTJkBXVxc6OjqYOHEi7O3t0bp16/IMnX2n4j+mw+/EAwTdeQUA0FETYrpnHXSpX5WbWRlj+SrXiZsL+mIKCAiAj48PACA9PR2TJk3Cnj17kJaWhlatWmHdunVFvu7It4cwAMgWibEj5DlWBj/Cx4xsCARA74ZmmORRG9qqwvIOjzFWyr4lFxQrUe7cuRMbNmxAVFQUQkJCYG5uDn9/f1haWqJjx46yVleqOFGyW9EJmHnoPh7E5QyI4VBNC/M72qGuqXb5BsYYKzPfkgtkvka5fv16jB8/Hp6envjw4YNkhBxtbW34+/vLWh1jpeZ9SgYm7fsPXTeE4EHcR2irKmJRZ3sEDW/KSZIxVmQyJ8o//vgDmzZtwowZMyAv/78bsJ2dnREWFlaiwTFWHGIxYc+/Mfhp+SXsu50zLnDPBqY4P6Elejcyg7wcX4tkjBWdzJ15oqKi4OjomGe5kpKS1BitjJWH+6+SMOPQffz34gMAwMZYEws626G+WZXCN2SMsQLInCgtLS1x9+5dmJubSy0/efIkbGxsSiwwxmSRlJaF5WceYuf15yAC1JUUMMG9Fvo1NoeCfLneBcUY+87JnCgnTZqEESNGID09HUSEGzduYO/evfDz88PmzZtLI0bGCkREOBj6Cn4nI/EuJRMA0KGuCWZ41YGhpnI5R8cYqwxkTpQDBw5EdnY2Jk+ejNTUVPTu3RtVq1bFqlWr0LNnz9KIkbF8PYhLxuxD4bgRnQAAqKGvhvkd7dDESq+cI2OMVSYyJcrs7Gzs3r0b3t7eGDJkCN69ewexWAwDA4PSio+xPD6mZ8H/7GNsuxYNkZigoiiP0a1qYnAzSwgVuJmVMVayZEqUCgoK+O233xAZGQkA0NPjX+6s7BARjt6LxYJjEYj/mDOVWjs7I8xsb4Oq2irlHB1jrLKSuem1UaNGuHPnTp7OPIyVpifxHzH7cDiuPX0PALDQVYVvB1u0rM2tGYyx0iVzohw+fDgmTJiAly9fwsnJKc88lCU59RZjqZnZ+OP8E2z+5xmyRAQlBTmMcLPC0BbVeSJlxliZkHkIOzm5vNeABAKBZI7I3JF6Kgoewu77REQ4Hf4G849F4NWHnImUW1kbwLeDLUx1VMs5OsbY9+ZbckGxBhxgrDQ9f/8Jc46E4+LDtwCAqtoq8O1gizY2huUcGWPsRyRzouRrk6y0pGeJsP7iU6y/9BSZ2WIoygswtEV1jHSrCRUhN7MyxspHseejjIiIQExMDDIzM6WWd+jQ4ZuDYj+eCw/j4XskHM/fpwIAmtfUw9wOtqiur17OkTHGfnQyJ8pnz56hc+fOCAsLk1ybBP43t2RFu0bJKrbXH9Iw/1gETt7PmbTbUFMJs9vbwtPeiCdSZoxVCDLfnT1mzBhYWlrizZs3UFVVRXh4OC5fvgxnZ2dcvHixFEJklVGWSIyNl5+i9YpLOHk/DvJyAgxpbolzE1rCy8GYkyRjrMKQ+YwyJCQE58+fh76+PuTk5CAnJ4dmzZrBz88Po0ePxp07d0ojTlaJ3IpOwIyg+3j4JmciZWfzKljQ2Q7WRtwrmTFW8cicKEUiEdTVc64b6enp4fXr16hduzbMzc3x8OHDEg+QVR4fUjPx+6kH2HvjBQCgiqoipnnWQdf61SDHc0QyxioomROlnZ0d7t27h+rVq6NRo0ZYsmQJhEIhNm7ciOrVq5dGjOw7R0Q4dPcVFhyLxPtPOZ2/ujtXw7R2dVBFTVjO0THGWOFkTpQzZ86UTNC8YMECtG/fHs2bN4euri7++uuvEg+Qfd+evk3BrEP3JUPP1TRQx8LO9mhoqVPOkTHGWNHIPDJPfhISElClSpUK2QGDR+YpH+lZIqy7+BQbLj5FpkgMZUU5jPqpJoY0r84zfDDGylyZjsyTHx0dPjtg//PP47eYdeg+ov//nsiWtfUxv6MdDz3HGPsuyZwo3dzcCj1zPH/+/DcFxL5fb5LTMf9YBI7diwWQc0/kHG9btLPjeyIZY98vmRNlvXr1pJ5nZWXh7t27uH//PgYMGFBScbHvSLZIjB0hz7Ei+BFSMrIhJwD6u1hggnstaCgrlnd4jDH2TWROlCtXrsx3ua+vL1JSUr45IPZ9uf08EbMP30f462QAQD1TbSzoZAe7qlrlHBljjJWMEunMAwBPnjxBw4YNkZCQUBLVlRjuzFM63qdk4PdTD/D3rZcAAE1lBUxpZ41eDcz4nkjGWIXzLbmgxLofhoSEQFlZWaZtLl++DG9vb5iYmEAgEODQoUNS64kIvr6+MDExgYqKClq2bInw8PCSCpkVg0hM2Hn9OdyWXZQkye7O1XB+Ykv0aWTOSZIxVunI3PT6888/Sz0nIsTGxuLWrVuYNWuWTHV9+vQJdevWxcCBA9GlS5c865csWYIVK1Zg27ZtqFWrFhYsWIA2bdrg4cOH0NDQkDV09o1uP0/A7MPhkmZWG2NNzO9kByfzKuUcGWOMlR6ZE6WWlvS1Jzk5OdSuXRvz5s2Du7u7THW1a9cO7dq1y3cdEcHf3x8zZsyQJOft27fD0NAQe/bswa+//ipr6KyY4pPTsfjkAxy88woAoKGsgEketdGnkTnk+QySMVbJyZwoAwICSiOOPKKiohAXFyeVfJWUlODq6opr164VmCgzMjKQkZEheZ6cnFzqsVZWWSIxtl+Lhv/Zx0jJyIZAAPRwNsUkj9rQVVcq7/AYY6xMlMiAA6UhLu7/5yc0NJRabmhoiOfPnxe4nZ+fH+bOnVuqsf0IQp6+x+zD9/E4Pqcnc11TbczrYIu6ptrlGxhjjJUxmROlLEPVlUQP2C/3RUSF7n/atGkYP3685HlycjJMTU2/OY4fRVxSOhaeiMTR/14DAHTUhJjStja6OZlyRx3G2A9J5kQ5a9YsLFiwAB4eHnBxcQGQ0+P19OnTmDVrVokNZ2dkZAQg58zS2NhYsjw+Pj7PWebnlJSUoKTEzYKyyhKJse1qNPzPPsKnTBHkBEDfxuaY0KY2tFR50ADG2I9L5kR59epVzJs3DyNHjpQsGz16NNasWYOzZ8/mucWjuCwtLWFkZITg4GA4OjoCADIzM3Hp0iX8/vvvJbIPluPfZ+8x6/B9PHqT08xa30wb8zryoAGMMQYUI1GePn0630Tl4eGBqVOnylRXSkoKnjx5InkeFRWFu3fvQkdHB2ZmZhg7diwWLVqEmjVrombNmli0aBFUVVXRu3dvWcNm+Xj7MQN+JyNxMDSnN2sVVUVMa1cHXZ14ImXGGMslc6LU1dVFUFAQJk2aJLX80KFD0NXVlamuW7duwc3NTfI899rigAEDsG3bNkyePBlpaWkYPnw4EhMT0ahRI5w5c4bvofxGIjFh97/PsfT0Q3xMz+nN2rOBGSZ71OaJlBlj7AsyD2G3bds2DB48GG3btpVco7x+/TpOnTqFzZs3w8fHpzTiLDYewk5aaEwiZh3639istiaaWNDJDo5mPGgAY6zyKtP5KH18fFCnTh2sXr0aBw8eBBHBxsYGV69eRaNGjWStjpWRhE+ZWHLqAQJvvgCQMzbrJI/a6M2DBjDGWKFKbFD0iupHP6MUiQl7b8Rg6emHSErLAgB0daqGqe2soceDBjDGfhBlekYZGhoKRUVF2NvbAwAOHz6MgIAA2NjYwNfXF0IhX+OqKO7EJGL24XCEvUoCAFgbaWB+Jzs0sCiZW3gYY+xHIPPsIb/++isePXoEAHj27Bl69OgBVVVV7Nu3D5MnTy7xAJns3qdkYMr+e+i87hrCXiVBQ1kBvt42ODaqGSdJxhiTkcxnlI8ePUK9evUAAPv27YOrqyv27NmDq1evomfPnvD39y/hEFlRicSEPf8+x7IzjyTNrF3q5zSz6mtwMytjjBWHzImSiCAWiwEAZ8+eRfv27QEApqamePfuXclGx4rs9vNEzD78v96sdYw1Ma+jLZ9BMsbYN5I5UTo7O2PBggVo3bo1Ll26hPXr1wPIGSygsKHlWOmI/5iO308+xIHQnEmUNZQVMNG9Nvo0MoOCfInNy80YYz8smROlv78/+vTpg0OHDmHGjBmwsrICAOzfvx9NmjQp8QBZ/r6cAgsAujlVwxTuzcoYYyWqxG4PSU9Ph7y8PBQVK9YA2pXx9pArj9/B92g4nuROgVVNC74dbHnQAMYYK0CZ3h5SEGVl5ZKqihXgRUIqFhyPwOnwNwAAXTUhJvMUWIwxVqoq7MTN7H/SMkVYf/EJNlx+hsxsMeTlBOjX2Bzj2tSClkrFOoNnjLHKhhNlBUZEOBEWh4XHI/A6KR0A0NRKF3O8bVHLkAeGZ4yxssCJsoJ6/OYj5hwJx7Wn7wEA1aqoYKZXHXjYGkEg4GZWxhgrK5woK5iP6VlYdfYxtl2LRraYoKQgh99a1sAw1xpQVpQv7/AYY+yHI3OiFIlE2LZtG86dO4f4+HjJ4AO5zp8/X2LB/UiICIfuvsKiEw/w9mMGAMDdxhCz2tvAVEe1nKNjjLEfl8yJcsyYMdi2bRu8vLxgZ2fHzYAl4EFcMmYfCseN6AQAgKWeGuZ426BlbYNyjowxxpjMiTIwMBB///03PD09SyOeH0pyehb8gx9je0g0RGKCsqIcRv1UE780t4SSAjezMsZYRSBzohQKhZLReFjxiMSEfbdeYOnph3j/KRMA0NbWCLO8bVBVW6Wco2OMMfY5mRPlhAkTsGrVKqxZs4abXYvhZnQC5h4Nx/1XOYOX19BXw2xvW7jW0i/nyBhjjOVH5kR55coVXLhwASdPnoStrW2eIesOHjxYYsFVJi8SUvH7qQc4di8WQM7g5WNb10J/F3Mo8uDljDFWYcmcKLW1tdG5c+fSiKVSSkrLwtoLT7DtajQyRWIIBEDPBqaY4F6bBy9njLHvgMyJMiAgoDTiqHSyRGLsvv4cq849RmJqziTKzaz0MN2zDmxMKsfg7Iwx9iPgAQdKwaVHbzH/WIRkdo+aBuqY7lkHLWvr83Vdxhj7zhQrUe7fvx9///03YmJikJmZKbUuNDS0RAL7Hj17m4KFxyNx7kE8AEBHTYjxbWqhZwNTnkSZMca+UzJ/e69evRoDBw6EgYEB7ty5g4YNG0JXVxfPnj1Du3btSiPGCi8lIxt+JyPh4X8Z5x7EQ0FOgMHNLHFhYkv0bWzOSZIxxr5jMn+Dr1u3Dhs3bsSaNWsgFAoxefJkBAcHY/To0UhKSiqNGLFu3TpYWlpCWVkZTk5O+Oeff0plP7IiIhy++wqtll/En5eeIUtEcKutj9PjWmBWexueAosxxioBmRNlTEwMmjRpAgBQUVHBx48fAQD9+vXD3r17SzY6AH/99RfGjh2LGTNm4M6dO2jevDnatWuHmJiYEt9XURER7r9KQs+N1zEm8C7eJGfAXFcVWwY4I2BgQ9TQVy+32BhjjJUsma9RGhkZ4f379zA3N4e5uTmuX7+OunXrIioqCkRU4gGuWLECgwcPxi+//AIA8Pf3x+nTp7F+/Xr4+fmV+P4KQkQIf52Mk/djcfJ+HJ69/QQAUFaUw4iWVhjSojrP7sEYY5WQzInyp59+wtGjR1G/fn0MHjwY48aNw/79+3Hr1i38/PPPJRpcZmYmbt++jalTp0otd3d3x7Vr1/LdJiMjAxkZGZLnycnJ3xxHwNUobL0ahRcJaZJlQnk5eNgZYUrb2qhWhWf3YIyxykrmRLlx40bJ1FrDhg2Djo4Orly5Am9vbwwbNqxEg3v37h1EIhEMDQ2llhsaGiIuLi7fbfz8/DB37twSjSM5LRsvEtKgrCgHt9oGaGtnhJ+sDaChzNcgGWOsspM5UcrJyUFO7n+XNrt3747u3buXaFBf+vLeQyIq8H7EadOmYfz48ZLnycnJMDU1/ab9/1y/KmoZqsO1tj5UhXzrKWOM/UiKdd/CP//8g759+8LFxQWvXr0CAOzcuRNXrlwp0eD09PQgLy+f5+wxPj4+z1lmLiUlJWhqako9vpWpjira2RtzkmSMsR+QzInywIED8PDwgIqKCu7cuSO5Hvjx40csWrSoRIMTCoVwcnJCcHCw1PLg4GBJz1vGGGOsNMmcKBcsWIANGzZg06ZNUjOHNGnSpFRG5Rk/fjw2b96MrVu3IjIyEuPGjUNMTEyJXw9ljDHG8iNzW+LDhw/RokWLPMs1NTXx4cOHkohJSo8ePfD+/XvMmzcPsbGxsLOzw4kTJ2Bubl7i+2KMMca+JHOiNDY2xpMnT2BhYSG1/MqVK6hevXpJxSVl+PDhGD58eKnUzRhjjBVG5qbXX3/9FWPGjMG///4LgUCA169fY/fu3Zg4cSInM8YYY5WOzGeUkydPRlJSEtzc3JCeno4WLVpASUkJEydOxMiRI0sjRsYYY6zcCKiY486lpqYiIiICYrEYNjY2UFevmOObJicnQ0tLC0lJSSVyqwhjjLHvz7fkgmLfGKiqqgpnZ+fibl5mcn8HlMRQdowxxr5PuTmgOOeGRU6UgwYNKlK5rVu3yhxEacqd3eRbR+dhjDH2/fv48SO0tLRk2qbITa9ycnIwNzeHo6NjoRk5KChIpgBKm1gsxuvXr6GhoVHgsHdFkTsU3osXL76LJtzvLV7g+4v5e4sX+P5i/t7iBTjmslCceIkIHz9+hImJidQwrEVR5DPKYcOGITAwEM+ePcOgQYPQt29f6OjoyLSz8iAnJ4dq1aqVWH0lNSxeWfne4gW+v5i/t3iB7y/m7y1egGMuC7LGK+uZZK4ip9V169YhNjYWU6ZMwdGjR2Fqaoru3bvj9OnTpTIPJWOMMVYRyHT+qaSkhF69eiE4OBgRERGwtbXF8OHDYW5ujpSUlNKKkTHGGCs3xZo9BMiZ+kogEICIJPNTVmZKSkqYM2cOlJSUyjuUIvne4gW+v5i/t3iB7y/m7y1egGMuC2Udr0z3UWZkZODgwYPYunUrrly5gvbt22PgwIFo27atzBdHGWOMse9BkTvzDB8+HIGBgTAzM8PAgQMRGBgIXV3d0oyNMcYYK3cy3R5iZmYGR0fHQm+zOHjwYIkFxxhjjJW3Ip9R9u/f/5vuQ2SMMca+R8Ue65Uxxhj7EXAPnCJYt24dLC0toaysDCcnJ/zzzz9lst/Lly/D29sbJiYmEAgEOHTokNR6IoKvry9MTEygoqKCli1bIjw8XKpMYmIi+vXrBy0tLWhpaaFfv355JtgOCwuDq6srVFRUULVqVcybN69Y98b6+fmhQYMG0NDQgIGBATp16oSHDx9KlcnIyMCoUaOgp6cHNTU1dOjQAS9fvpQqExMTA29vb6ipqUFPTw+jR49GZmamVJlLly7ByckJysrKqF69OjZs2CBzvACwfv16ODg4SG5cdnFxwcmTJytsvF/y8/ODQCDA2LFjK2zMvr6+kl7yuQ8jIyPJ+or2Ps716tUr9O3bF7q6ulBVVUW9evVw+/btChm3hYVFntdYIBBgxIgRACreewIAsrOzMXPmTFhaWkJFRQXVq1fHvHnzpO6iqDCvMbFCBQYGkqKiIm3atIkiIiJozJgxpKamRs+fPy/1fZ84cYJmzJhBBw4cIAAUFBQktX7x4sWkoaFBBw4coLCwMOrRowcZGxtTcnKypEzbtm3Jzs6Orl27RteuXSM7Oztq3769ZH1SUhIZGhpSz549KSwsjA4cOEAaGhq0bNkymeP18PCggIAAun//Pt29e5e8vLzIzMyMUlJSJGWGDRtGVatWpeDgYAoNDSU3NzeqW7cuZWdnExFRdnY22dnZkZubG4WGhlJwcDCZmJjQyJEjJXU8e/aMVFVVacyYMRQREUGbNm0iRUVF2r9/v8wxHzlyhI4fP04PHz6khw8f0vTp00lRUZHu379fIeP93I0bN8jCwoIcHBxozJgxkuUVLeY5c+aQra0txcbGSh7x8fGS9RXtfUxElJCQQObm5uTj40P//vsvRUVF0dmzZ+nJkycVMu74+Hip1zc4OJgA0IULF4io4r0niIgWLFhAurq6dOzYMYqKiqJ9+/aRuro6+fv7S8pUlNeYE+VXNGzYkIYNGya1zNramqZOnVqmcXyZKMViMRkZGdHixYsly9LT00lLS4s2bNhAREQREREEgK5fvy4pExISQgDowYMHRES0bt060tLSovT0dEkZPz8/MjExIbFY/E0xx8fHEwC6dOkSERF9+PCBFBUVKTAwUFLm1atXJCcnR6dOnSKinB8HcnJy9OrVK0mZvXv3kpKSEiUlJRER0eTJk8na2lpqX7/++is1btz4m+LNVaVKFdq8eXOFjvfjx49Us2ZNCg4OJldXV0mirIgxz5kzh+rWrZvvuor6Pp4yZQo1a9aswPUVNe5cY8aMoRo1apBYLK6Q7wkiIi8vLxo0aJDUsp9//pn69u1LRBXrNeam10JkZmbi9u3bcHd3l1ru7u6Oa9eulVNUOaKiohAXFycVm5KSElxdXSWxhYSEQEtLC40aNZKUady4MbS0tKTKuLq6St246+HhgdevXyM6OvqbYkxKSgIAyZjAt2/fRlZWllTMJiYmsLOzk4rHzs4OJiYmUvFkZGRImr1CQkLy/E08PDxw69YtZGVlFTtekUiEwMBAfPr0CS4uLhU63hEjRsDLywutW7eWWl5RY378+DFMTExgaWmJnj174tmzZwAq7vv4yJEjcHZ2Rrdu3WBgYABHR0ds2rRJsr6ixg3kfG/t2rULgwYNgkAgqLDviWbNmuHcuXN49OgRAOC///7DlStX4OnpCaBivcacKAvx7t07iEQiGBoaSi03NDREXFxcOUWVI3f/hcUWFxcHAwODPNsaGBhIlcmvjs/3URxEhPHjx6NZs2aws7OT1CcUClGlSpVCY/4ynipVqkAoFH415uzsbLx7907mWMPCwqCurg4lJSUMGzYMQUFBsLGxqbDxBgYGIjQ0FH5+fnnWVcSYGzVqhB07duD06dPYtGkT4uLi0KRJE7x//77Cvo+fPXuG9evXo2bNmjh9+jSGDRuG0aNHY8eOHVJ1VrS4AeDQoUP48OEDfHx8JPVUtPcEAEyZMgW9evWCtbU1FBUV4ejoiLFjx6JXr16S/eXuo7C4y+I1LvbEzT+SL2+LIaIKc6vM12LLL86vlaH/v8j9Lcc4cuRI3Lt3D1euXPlq2fKOuXbt2rh79y4+fPiAAwcOYMCAAbh06VKFjPfFixcYM2YMzpw5A2Vl5SJvV54xt2vXTvJ/e3t7uLi4oEaNGti+fTsaN25c4L7K8z0hFovh7OyMRYsWAQAcHR0RHh6O9evXo3///oXus7w/f1u2bEG7du2kzg7zU96x/vXXX9i1axf27NkDW1tb3L17F2PHjoWJiQkGDBhQ6D7LOm4+oyyEnp4e5OXl8/zqiI+Pz/MLpazl9hosLDYjIyO8efMmz7Zv376VKpNfHUDeX3JFNWrUKBw5cgQXLlyQmuLMyMgImZmZSExMLDTmL+NJTExEVlbWV2NWUFAo1mhRQqEQVlZWcHZ2hp+fH+rWrYtVq1ZVyHhv376N+Ph4ODk5QUFBAQoKCrh06RJWr14NBQUFGBoaVriYv6SmpgZ7e3s8fvy4wr6PjY2NYWNjI7WsTp06iImJkeyvIsb9/PlznD17Fr/88otkWUV8HwPApEmTMHXqVPTs2RP29vbo168fxo0bJ2kpqUivMSfKQgiFQjg5OSE4OFhqeXBwMJo0aVJOUeWwtLSEkZGRVGyZmZm4dOmSJDYXFxckJSXhxo0bkjL//vsvkpKSpMpcvnxZqhv4mTNnYGJiAgsLC5liIiKMHDkSBw8exPnz52FpaSm13snJCYqKilIxx8bG4v79+1Lx3L9/H7GxsVLxKCkpwcnJSVLmy7/JmTNn4OzsDEVFRZliLug4MjIyKmS8rVq1QlhYGO7evSt5ODs7o0+fPpL/V7SYv5SRkYHIyEgYGxtXyPcxADRt2jTPrU2PHj2Cubk5gIr5+QOAgIAAGBgYwMvLS7KsIr6PASA1NTXPGOHy8vKS20Mq1GtcpC4/P7Dc20O2bNlCERERNHbsWFJTU6Po6OhS3/fHjx/pzp07dOfOHQJAK1asoDt37khuTVm8eDFpaWnRwYMHKSwsjHr16pVv12kHBwcKCQmhkJAQsre3l+o6/eHDBzI0NKRevXpRWFgYHTx4kDQ1NYvVrf63334jLS0tunjxolRX9dTUVEmZYcOGUbVq1ejs2bMUGhpKP/30U77d1Fu1akWhoaF09uxZqlatWr7d1MeNG0cRERG0ZcuWYndTnzZtGl2+fJmioqLo3r17NH36dJKTk6MzZ85UyHjz83mv14oY84QJE+jixYv07Nkzun79OrVv3540NDQkn6GK9j4myrn1RkFBgRYuXEiPHz+m3bt3k6qqKu3atUtSpqLFLRKJyMzMjKZMmZJnXUV7TxARDRgwgKpWrSq5PeTgwYOkp6dHkydPlpSpKK8xJ8oiWLt2LZmbm5NQKKT69etLbncobRcuXCAAeR4DBgwgopzu03PmzCEjIyNSUlKiFi1aUFhYmFQd79+/pz59+pCGhgZpaGhQnz59KDExUarMvXv3qHnz5qSkpERGRkbk6+tbrK7p+cUKgAICAiRl0tLSaOTIkaSjo0MqKirUvn17iomJkarn+fPn5OXlRSoqKqSjo0MjR46U6tpNRHTx4kVydHQkoVBIFhYWtH79epnjJSIaNGiQ5G+rr69PrVq1kiTJihhvfr5MlBUt5tx73xQVFcnExIR+/vlnCg8Pl6yvaO/jXEePHiU7OztSUlIia2tr2rhxo9T6ihb36dOnCQA9fPgwz7qK9p4gIkpOTqYxY8aQmZkZKSsrU/Xq1WnGjBmUkZEhKVNRXmMewo4xxhgrBF+jZIwxxgrBiZIxxhgrBCdKxhhjrBCcKBljjLFCcKJkjDHGCsGJkjHGGCsEJ0rGGGOsEJwoGWOMsUJwomSsDAkEAhw6dKjC1PO97fv9+/cwMDCQmkfw6tWrsLe3h6KiIjp16lTo9vHx8dDX18erV69KN1BWqXCiZJVWXFwcRo0aherVq0NJSQmmpqbw9vbGuXPnyju0IvP19UW9evXyLI+NjZWavqqy7bsgfn5+8Pb2lhrMevz48ahXrx6ioqKwbdu2Qrc3MDBAv379MGfOnNINlFUqnChZpRQdHQ0nJyecP38eS5YsQVhYGE6dOgU3NzeMGDGi2PUWNJN7cWZ4/xZGRkZSM7b/CPtOS0vDli1bpKaQAoCnT5/ip59+QrVq1aCtrf3VegYOHIjdu3fnmXaKsQIVe0Rbxiqwdu3aUdWqVSklJSXPus8HTH7+/Dl16NCB1NTUSENDg7p160ZxcXGS9XPmzKG6devSli1byNLSkgQCAYnFYgJA69evpw4dOpCqqirNnj2biIiOHDlC9evXJyUlJbK0tCRfX1/KysqS1AeAgoKCJM8nT55MNWvWJBUVFbK0tKSZM2dSZmYmEREFBAQUOMD8l/Xcu3eP3NzcSFlZmXR0dGjIkCH08eNHyfoBAwZQx44daenSpWRkZEQ6Ojo0fPhwyb6+VNR9R0VFEQD666+/qFmzZqSsrEzOzs708OFDunHjBjk5OZGamhp5eHhQfHy81D62bt1K1tbWpKSkRLVr16a1a9fm/8f8fwcOHCA9PT3J89x9fxljQkIC9e7dm/T09EhZWZmsrKxo69atUnVZWFjQli1bCt0fY7k4UbJK5/379yQQCGjRokWFlhOLxeTo6EjNmjWjW7du0fXr16l+/frk6uoqKTNnzhzJF31oaCj9999/kkRpYGBAW7ZsoadPn1J0dDSdOnWKNDU1adu2bfT06VM6c+YMWVhYkK+vr6S+LxPc/Pnz6erVqxQVFUVHjhwhQ0ND+v3334mIKDU1lSZMmEC2trZ5piz7vJ5Pnz5JZuUICwujc+fOkaWlpWSWGaKcRKmpqUnDhg2jyMhIOnr0KKmqquaZESNXUfedm6ysra3p1KlTFBERQY0bN6b69etTy5Yt6cqVKxQaGkpWVlY0bNgwSf0bN24kY2NjOnDgAD179owOHDhAOjo6tG3btgL/XmPGjKG2bdtKnmdnZ1NsbCxpamqSv7+/JMYRI0ZQvXr16ObNmxQVFUXBwcF05MgRqbq6d+9OPj4+Be6Lsc9xomSVzr///ksA6ODBg4WWO3PmDMnLy0tNNxQeHk4A6MaNG0SUkygVFRXznA0BoLFjx0ota968eZ7kvHPnTjI2Npba7vNE+aUlS5aQk5OT5HnuGe2XPq9n48aNVKVKFamz5+PHj5OcnJzk7HjAgAFkbm4umX+QiKhbt27Uo0ePAmMpyr5zE+XmzZsl6/fu3UsA6Ny5c5Jlfn5+VLt2bclzU1NT2rNnj1S98+fPJxcXlwLj6dixIw0aNCjPci0tLamp3Ly9vWngwIEF1kNENG7cOGrZsmWhZRjLpVAWzbuMlSX6/5njBAJBoeUiIyNhamoKU1NTyTIbGxtoa2sjMjISDRo0AACYm5tDX18/z/bOzs5Sz2/fvo2bN29i4cKFkmUikQjp6elITU2Fqqpqnjr2798Pf39/PHnyBCkpKcjOzoampmbRD/b/j6Nu3bpQU1OTLGvatCnEYjEePnwIQ0NDAICtrS3k5eUlZYyNjREWFibTvgri4OAg+X/u/uzt7aWWxcfHAwDevn2LFy9eYPDgwRgyZIikTHZ2NrS0tArcR1paGpSVlb8ay2+//YYuXbogNDQU7u7u6NSpk2S2+1wqKipITU0t2sGxHx4nSlbp1KxZEwKBAJGRkYXeLkBE+SbTL5d/noA+9+VysViMuXPn4ueff85TNr8v+OvXr6Nnz56YO3cuPDw8oKWlhcDAQCxfvrzAmGU5DkD6x4KiomKedWKxWKZ9FeTzunP3+eWy3H3l/rtp0yY0atRIqp7PE/mX9PT0itQBp127dnj+/DmOHz+Os2fPolWrVhgxYgSWLVsmKZOQkJDvjx/G8sO9Xlmlo6OjAw8PD6xduxafPn3Ks/7Dhw8Acs4eY2Ji8OLFC8m6iIgIJCUloU6dOjLvt379+nj48CGsrKzyPOTk8n7Url69CnNzc8yYMQPOzs6oWbMmnj9/LlVGKBRCJBIVul8bGxvcvXtX6livXr0KOTk51KpVS+bjkGXfxWFoaIiqVavi2bNneV4nS0vLArdzdHREREREkfahr68PHx8f7Nq1C/7+/ti4caPU+vv378PR0fGbjoP9ODhRskpp3bp1EIlEaNiwIQ4cOIDHjx8jMjISq1evhouLCwCgdevWcHBwQJ8+fRAaGoobN26gf//+cHV1zdOsWhSzZ8/Gjh074Ovri/DwcERGRuKvv/7CzJkz8y1vZWWFmJgYBAYG4unTp1i9ejWCgoKkylhYWCAqKgp3797Fu3fvkJGRkaeePn36QFlZGQMGDMD9+/dx4cIFjBo1Cv369ZM0gxZHUfZdXL6+vvDz88OqVavw6NEjhIWFISAgACtWrChwGw8PD4SHh3/1rHL27Nk4fPgwnjx5gvDwcBw7dkzqh09qaipu374Nd3f3EjseVrlxomSVkqWlJUJDQ+Hm5oYJEybAzs4Obdq0wblz57B+/XoA/xthpkqVKmjRogVat26N6tWr46+//irWPj08PHDs2DEEBwejQYMGaNy4MVasWAFzc/N8y3fs2BHjxo3DyJEjUa9ePVy7dg2zZs2SKtOlSxe0bdsWbm5u0NfXx969e/PUo6qqitOnTyMhIQENGjRA165d0apVK6xZs6ZYxyHLvovrl19+webNm7Ft2zbY29vD1dUV27ZtK/SM0t7eHs7Ozvj7778LrVsoFGLatGlwcHBAixYtIC8vj8DAQMn6w4cPw8zMDM2bNy+x42GVm4Byez4wxlgFd+LECUycOBH379/Ptzm7KBo2bIixY8eid+/eJRwdq6y4Mw9j7Lvh6emJx48f49WrV1K9lYsqPj4eXbt2Ra9evUohOlZZ8RklY4wxVgi+RskYY4wVghMlY4wxVghOlIwxxlghOFEyxhhjheBEyRhjjBWCEyVjjDFWCE6UjDHGWCE4UTLGGGOF4ETJGGOMFeL/AEwxS6Ys96sFAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_msd(msd_job)" ] }, { "cell_type": "markdown", "id": "6bd22383-cbbc-4192-be2f-b534abbf3657", "metadata": {}, "source": [ "In the above graph, the MSD is a straight line. That is a good sign. If the line isn't straight at large correlation times, you would need to run a longer simulation. The diffusion coefficient = slope/6.\n", "\n", "The plot ends at 8000 fs (``max_correlation_time_fs``), and the linear fit is started from 3000 fs (``start_time_fit_fs``). You can also change the start of the linear fit in the postprocessing:" ] }, { "cell_type": "code", "execution_count": 29, "id": "e39380b5-d77f-44de-b64e-851063689d79", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_msd(msd_job, start_time_fit_fs=7000)" ] }, { "cell_type": "markdown", "id": "4f5a5aa5-5980-4a2e-a844-5db98cb01e7a", "metadata": {}, "source": [ "## Radial distribution function\n", "\n", "Similarly to the MSD, a radial distribution function (RDF) should only be calculated for an **equilibrated** simulation.\n", "\n", "Let's calculate and plot the C-H RDF. Note that the RDF should only be calculated for distances up to half the shortest lattice vector length (for orthorhombic cells)." ] }, { "cell_type": "code", "execution_count": 30, "id": "0ee3121d-ffd9-4330-a968-575dcc4e6c8a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[16.12|14:00:18] JOB rdf-C-H-NVT-production-1 STARTED\n", "[16.12|14:00:18] JOB rdf-C-H-NVT-production-1 RUNNING\n", "[16.12|14:00:18] JOB rdf-C-H-NVT-production-1 FINISHED\n", "[16.12|14:00:18] JOB rdf-C-H-NVT-production-1 SUCCESSFUL\n" ] } ], "source": [ "mol = nvt_prod_job.results.get_main_molecule()\n", "atom_indices = [i for i, at in enumerate(mol, 1) if at.symbol == \"C\"]\n", "atom_indices_to = [i for i, at in enumerate(mol, 1) if at.symbol == \"H\"]\n", "\n", "# rmax = half the shortest box length for orthorhombic cells\n", "rmax = min([mol.lattice[0][0], mol.lattice[1][1], mol.lattice[2][2]]) / 2\n", "\n", "rdf_job = AMSRDFJob(\n", " nvt_prod_job,\n", " name=\"rdf-C-H-\" + nvt_prod_job.name,\n", " atom_indices=atom_indices, # from C\n", " atom_indices_to=atom_indices_to, # to H\n", " rmin=0.5,\n", " rmax=rmax,\n", " rstep=0.1,\n", ")\n", "rdf_job.run();" ] }, { "cell_type": "code", "execution_count": 31, "id": "85039822-412e-4db2-92f6-08f6375f7cf8", "metadata": {}, "outputs": [], "source": [ "def plot_rdf(job, title=\"\"):\n", " plt.figure(figsize=(5, 3))\n", " r, rdf = job.results.get_rdf()\n", " plt.plot(r, rdf)\n", " plt.xlabel(\"r (angstrom)\")\n", " plt.ylabel(\"g(r)\")\n", " plt.title(title or job.name + \" RDF\")\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 32, "id": "736bd39e-0b5f-4234-90ca-e150354e2236", "metadata": {}, "outputs": [ { "data": { "image/png": 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Rtzl9+jRatWqFxYsX45lnnvF0doh8CvsYiYiI7DAwEhER2WFTKhERkR3WGImIiOwwMBIREdlhYCQiIrKj+gn+NpsN58+fR0BAQK3XsSQiIvUQJYsnREVFVbnnpuoD4/nz5522ViMRETV8KSkpVa47q/rAKC8YnZKSUq/lzIiIqGGzWCxo3rx5tTuQqD4wys2ngYGBDIxERFRttxoH3xAREdlhYCQiIrLDwEhERGSHgZGIiMgOAyMREZEdBkYiIiI7DIw+6HDKNTy4aj9OpGV5OitERF6HgdEHbdh/FjuOX8KCr//wdFaIiLwOA6MPyswtBABs/+MiUq5kezg3RETehYHRB1nziwOjTQBrfzrr4dwQEXkXjwbG+fPno3fv3ggICEBYWBjuvPNOHD9+3CFNXl4ennjiCYSEhMDf3x933HEHzp0756Ecq4M1r1D5eeOBs8gtKPJgboiIvItHA+OuXbswefJk7Nu3DwkJCSgsLERsbCysVquSZurUqYiPj8eGDRvwww8/ICsrC7fffjuKivhlXlfWvNL/u6vZBfjyyAUP5oaIyLtIQgjh6UzILl26hLCwMOzatQs333wzMjIyEBoaig8//BD33nsvgNJtpLZs2YIRI0ZUe02LxYKgoCBkZGRwEfESgxbvwJnL2RjWKQzf/p6Gbs2C8PmUAZ7OFhGRS9U0HnhVH2NGRgYAIDg4GADw888/o6CgALGxsUqaqKgodOnSBXv27KnwGnl5ebBYLA4PciQ3pT7UvxUMOg2OnMvA4ZRrns0UEZGX8JrAKITA9OnTMWDAAHTp0gUAkJqaCoPBgMaNGzukDQ8PR2pqaoXXmT9/PoKCgpQHNykuT25KbR7sh9HdogAAa/ac9mCOiIi8h9cExilTpuDIkSNYv359tWmFEJXupzVr1ixkZGQoj5SUFGdntUErsgnklAy28TNo8fe+0QCAL49cQHpWniezRkTkFbwiMD7xxBP4/PPPsWPHDjRr1kw5HhERgfz8fFy9etUhfVpaGsLDwyu8ltFoVDYl5ubE5clTNQDA36hD9+bXoXvz65BfZMPGA/wjgojIo4FRCIEpU6Zg8+bN2L59O1q1auXweq9evaDX65GQkKAcu3DhAo4dO4Z+/fq5O7uqkF3SjKrTSDDqiov/732Ka41r951BYZHNY3kjIvIGHg2MkydPxkcffYR169YhICAAqampSE1NRU5ODgAgKCgIkyZNwtNPP43vvvsOiYmJuP/++9G1a1cMGzbMk1lvsLJKBt74GbRKc/Rt3SIR7G/A+YxcfPdHmiezR0TkcR4NjCtWrEBGRgYGDx6MyMhI5bFx40Ylzeuvv44777wT99xzD/r37w8/Pz988cUX0Gq1Hsx5wyWPSDUbdcoxk16L8b2LBymt2XvaE9kiIvIauuqTuE5NplCaTCYsW7YMy5Ytc0OO1E/uY/QzOhb9hD7ReGfXSfx44jJOpGWibViAJ7JHRORxXjH4htxHnqrhXyYwNr2uEYZ1Kh7Q9OHeM27PFxGRt2Bg9DHZ+XJTavmm6L/3bQkA2HToL6UvkojI1zAw+pjSwTflW9H7t22C1qH+yMorRPwhLtRORL6JgdHHVDT4RiZJEuJKao0f7D1Toz5gIiK1YWD0MaV9jBWP6h17Q1P4G7Q4kZaFvScvuzNrRERegYHRx8g1Rv8KmlIBIMCkx9gbilcfWsNBOETkgxgYfYw8XaPsqFR7E0vWT932WyrOX8txS76IiLwFA6OPqWy6hr324QHo27oJbAJY99NZd2WNiMgrMDD6mNKm1KpXDorrV1xrXL//LPIKi1yeLyIib8HA6GPk6RpV1RgBYFincEQGmXDZmo+vj1a89yURkRoxMPqY7PyqR6XKdFoNJtzUAkBxrZGIyFcwMPqY6kal2hvYLhQAkHIl26V5IiLyJgyMPqYmo1JlAabiNJm5XB6OiHwHA6OPqcmoVFmASQ8AyMovhM3GVXCIyDcwMPoQIYRdjbH6/SzlGqMQQHYBR6YSkW9gYPQhOQVFkJc/rWit1LKMOg10GgkAkJlb4MqsERF5DQZGHyJP1ZAkoJG++hqjJElKrTGL/YxE5CMYGH2I0r9o0EGSpBqdY5YH4HB/RiLyEQyMPkSZqlGD/kWZ2Vg8AIcjU4nIVzAw+pDazGGUBRjZlEpEvoWB0YeUrnpTi8Ao9zHmcfANEfkGBkYfIg++8atmAXF7Zk7yJyIfw8DoQ+Sm1JpM1ZDJaRkYichXMDD6EGudmlJLVr/hqFQi8hEMjD6kLqNSS9dLZR8jEfkGBkYfUpdRqXJTKmuMROQrGBh9SG121pBxhw0i8jUMjD6kdGeN2kzwZ42RiHwLA6MPycqrfY2R0zWIyNcwMPqQ7PzaT9cIlEelMjASkY9gYPQhWSVNqX4cfENEVCkGRh+SXZdFxE2lgbHIJlySLyIib8LA6EPqtIi4qTStPKqViEjNGBh9SF0G3xh1Whi0xR8T9jMSkS9gYPQRQghld43aDL4BODKViHwLA6OPyCu0obCkj9CvFn2MALeeIiLfwsDoI6x2o0pr08cIcIcNIvItDIw+Qm5GbaTXQquRanUuAyMR+RIGRh+RVYepGrIAE+cyEpHvYGD0Edl1WEBcFsDVb4jIh3g0MO7evRujR49GVFQUJEnCp59+6vD6Aw88AEmSHB59+vTxTGYbOHnVm9r2LwL2TakcfENE6ufRwGi1WtG9e3e89dZblaa59dZbceHCBeWxZcsWN+ZQPeqySbFMma7BplQi8gG1rz440ciRIzFy5Mgq0xiNRkRERLgpR+plrcPkfpnSx8imVCLyAV7fx7hz506EhYWhffv2eOSRR5CWllZl+ry8PFgsFocH1W05OFkAFxInIh/i1YFx5MiRWLt2LbZv345///vfOHDgAIYMGYK8vLxKz5k/fz6CgoKUR/Pmzd2YY+9lza/9JsUyrnxDRL7Eo02p1bn33nuVn7t06YKYmBhER0fjq6++wtixYys8Z9asWZg+fbry3GKxMDiink2pxuJRqexjJCJf4NWBsazIyEhER0cjKSmp0jRGoxFGo9GNuWoY6tOUqmw9xVGpROQDvLoptazLly8jJSUFkZGRns5Kg6NM16hDjZEr3xCRL/FojTErKwsnTpxQnicnJ+Pw4cMIDg5GcHAw5s6di7vvvhuRkZE4ffo0Zs+ejZCQENx1110ezHXDJE/wN9ehjzFQnuDPplQi8gEeDYwHDx7ELbfcojyX+wbj4uKwYsUKHD16FGvWrMG1a9cQGRmJW265BRs3bkRAQICnstxgyUHNrx5Nqdn5RSiyiVqvtUpE1JB4NDAOHjwYQohKX9+6dasbc6Nu2fn1b0oFiucyBvnpnZYvIiJv06D6GKnu6rPyjUGngVFX/FHJ5J6MRKRyDIw+Iqse0zUA7rBBRL6DgdFHyE2p5joGRo5MJSJfwcDoI0oH39S+KRXg1lNE5DsYGH1AQZEN+YU2AE6oMbIplYhUjoHRB2SXTO4H6jZdA7BfL5WDb4hI3RgYfUBWyeR+g1YDg65uRc6tp4jIVzAw+oD6TNWQcespIvIVDIw+oD47a8i49RQR+QoGRh9glRcQr2P/IgCY5a2nGBiJSOUYGH2ANd8JTanKBH8OviEidWNg9AHOaErlyjdE5CsYGH1AfTYplnHlGyLyFQyMPsBaj501ZFz5hoh8BQOjD3DGdA2ufENEvoKB0QfUd2cNoLSPkSvfEJHaMTD6AHlJuLqukwqUBsbcAhsKimxOyRcRkTdiYPQB8pJwdd1ZA3CsbVrZnEpEKsbA6AOyndCUqtdqYNIXf1w4MpWI1IyB0QdYndCUCpSOTGVgJCI1Y2D0AfXdpFjGhcSJyBcwMPqA7JI+xvrWGLknIxH5AgZGH5BV0pRa102KZVwWjoh8AQOjD5BHkda7xshl4YjIBzAwqlyRTSCnQF4Srn59jNx6ioh8AQOjysn9i0D9pmsA3HqKiHwDA6PKyVM1tBoJRl39ilsJjKwxEpGKMTCqnLJJsUELSZLqdS0uJE5EvoCBUeWcsUmxrHS6BgMjEakXA6PKyU2pzgiM3JORiHwBA6PKObPGyJVviMgX1PnbMiUlBadPn0Z2djZCQ0PRuXNnGI1GZ+aNnMC+j7G+uPINEfmCWgXGM2fO4J133sH69euRkpICIYTymsFgwMCBA/Hoo4/i7rvvhkbDyqg3cG5TKmuMRKR+NY5eTz31FLp27YqkpCS89NJL+PXXX5GRkYH8/HykpqZiy5YtGDBgAF544QV069YNBw4ccGW+qYaUplRn1Bi58g0R+YAaVyMMBgNOnjyJ0NDQcq+FhYVhyJAhGDJkCObMmYMtW7bgzJkz6N27t1MzS7WX5dQ+xuLBN3mFNuQX2mCo57xIIiJvVONvy8WLFys/nzlzBmFhYWjUqFGFaUeNGlX/nJFTOGtnDaC0jxEoDrjBOkO9r0lE5G1q/Se/zWZDu3btcO7cOVfkh5zMWTtrAMWr58h7OnLKBhGpVa0Do0ajQbt27XD58mVX5IecrHS6Rv37GIHSmqeFI1OJSKXq1Em0aNEiPPvsszh27Jiz80NO5symVIAjU4lI/er0bXn//fcjOzsb3bt3h8FgKNfXeOXKFadkjupPDmB+TgqMZq5+Q0QqV6dvy6VLlzrlzXfv3o3Fixfj559/xoULFxAfH48777xTeV0IgXnz5mHlypW4evUqbrrpJrz99tvo3LmzU97fF2TnF/cxmp3UlBqgLCTOplQiUqc6Bca4uDinvLnVakX37t3x4IMP4u677y73+qJFi7BkyRKsXr0a7du3x8svv4zhw4fj+PHjCAgIcEoe1E6pMTph8A3AraeISP1q/G1ptVrh7+9f4wvXJP3IkSMxcuTICl8TQmDp0qV4/vnnMXbsWADABx98gPDwcKxbtw6PPfZYjfPiy+TBN87qY+TWU0SkdjUefNO2bVu8+uqrOH/+fKVphBBISEjAyJEj8eabb9YrY8nJyUhNTUVsbKxyzGg0YtCgQdizZ0+l5+Xl5cFisTg8fFm2E5eEA7j1FBGpX42/LXfu3Il//vOfmDdvHnr06IGYmBhERUXBZDLh6tWr+O2337B3717o9XrMmjULjz76aL0ylpqaCgAIDw93OB4eHo4zZ85Uet78+fMxb968er23WgghnLqIOMCtp4hI/WocGDt06ICPP/4Y586dw//+9z98//332LNnD3JychASEoKePXvi3XffxahRo5y6gHjZXeeFEFXuRD9r1ixMnz5deW6xWNC8eXOn5achySkogq1knXdn1Ri59RQRqV2tvy2bNWuG6dOnOwQfV4iIiABQXHOMjIxUjqelpZWrRdozGo3c/qqEvLOGJAGN9E6a4M+mVCJSuTpVIyoLipIkwWQyoW3bthgzZgyCg4PrnLFWrVohIiICCQkJ6NmzJwAgPz8fu3btwsKFC+t8XV8iD7zx02uh0VRey66NAO7JSEQqV6fAmJiYiEOHDqGoqAgdOnSAEAJJSUnQarXo2LEjli9fjqeffho//PADrr/++kqvk5WVhRMnTijPk5OTcfjwYQQHB6NFixaYOnUqXn31VbRr1w7t2rXDq6++Cj8/P/ztb3+rS7Z9jtK/6KRmVKB0VCqbUolIrer0jSnXBletWoXAwEAAxX15kyZNwoABA/DII4/gb3/7G6ZNm4atW7dWep2DBw/illtuUZ7LNdG4uDisXr0azz33HHJycvD//t//Uyb4b9u2jXMYa0huSnXWVA2AS8IRkfpJQghR25OaNm2KhISEcrXBX3/9FbGxsfjrr79w6NAhxMbGIj093WmZrQuLxYKgoCBkZGQoQdxX7PgjDQ+uPoAuTQPx5RMDnXLN46mZGLF0N4L9DTj0wnCnXJOIyB1qGg/qNHw0IyMDaWlp5Y5funRJmTd43XXXIT8/vy6XJycpnarhghojB98QkUrVKTCOGTMGDz30EOLj43Hu3Dn89ddfiI+Px6RJk5S1Tvfv34/27ds7M69US6VbTjmxj7EkMOYX2ZBXWOS06xIReYs6fWP+5z//wbRp0zB+/HgUFhZ/+ep0OsTFxeH1118HAHTs2BHvvfee83JKtZbl5FVvAMfaZ2ZuIYxm50wDISLyFnX6xjSbzXj33Xfx+uuv49SpUxBCoE2bNjCbzUqaHj16OCuPVEfZyjqpzgteWo0Es1GHrLxCZOUWIsTMOaNEpC71qkqYzWZ069bNWXkhJ8vKd+7OGjIlMHJkKhGpkPPWbiOv44o+RqC0n9HCSf5EpEIMjCqWnefcTYplHJlKRGrGwKhizt6kWMbVb4hIzRgYVSw73/kr3wD266UyMBKR+jAwqliWi/oYA4x6h+sTEakJA6OKKYNvnLRJsYxbTxGRmjEwqpjclOr0UalKHyNHpRKR+jAwqlhpU6prRqWyxkhEasTAqFJCCJfNY+R0DSJSMwZGlcovsqHQVryjmPObUosH32Ry8A0RqRADo0rJmxQDgJ+eTalERDXFwKhScjOqSa+BTuvcYpZHpXLwDRGpEQOjSsmbFDt7cj8ABBjZx0hE6sXAqFJWFy0HBzjOYxRCOP36RESexMCoUlYXbFIsCzAVD74ptAnkFdqcfn0iIk9iYFQpqws2KZb56bWQpOKfOQCHiNSGgVGlXLWzBgBoNBLMBrk5lQNwiEhdGBhVylU7a8iUSf6cy0hEKsPAqFKlNUbnN6UCdlM22JRKRCrDwKhSrloOTibXRC0MjESkMgyMKuX6plTuyUhE6sTAqFJKU6oLRqUC9k2pHHxDROrCwKhS2S5c+QYoXf2G0zWISG0YGFUqS57g74LpGgBHpRKRejEwqpTVRZsUy7j1FBGpFQOjSrl8VCqnaxCRSjEwqpS8u4YrVr4B7Pdk5OAbIlIXBkaVkhcRd/XgG/YxEpHaMDCqlMv7GE0clUpE6sTAqEKFRTZlOyjXjUotGXzDwEhEKsPAqEJyMyrg+iXh2JRKRGrDwKhC8sAbg1YDg841RWw/j1EI4ZL3ICLyBAZGFbK6eDk4oDQwFtkEcgqKqklNRNRwMDCqkDXftaveAEAjvRYaqfhnzmUkIjVhYFQhucboqqkaACBJknJ9rn5DRGri1YFx7ty5kCTJ4REREeHpbHk9V++sIePIVCJSI9dVKZykc+fO+Pbbb5XnWq1rv+zVwNU7a8gCuCwcEamQ1wdGnU5Xq1piXl4e8vLylOcWi8UV2fJq8s4afgbX/hFROmWDy8IRkXp4dVMqACQlJSEqKgqtWrXC+PHjcerUqSrTz58/H0FBQcqjefPmbsqp93D1AuIyefUbC2uMRKQiXh0Yb7rpJqxZswZbt27Fu+++i9TUVPTr1w+XL1+u9JxZs2YhIyNDeaSkpLgxx94h2w2Db4DSPkY2pRKRmnh1U+rIkSOVn7t27Yq+ffuiTZs2+OCDDzB9+vQKzzEajTAaje7KolcqbUp1cY2Rq98QkQp5dY2xLH9/f3Tt2hVJSUmezopXKx184+pRqQyMRKQ+DSow5uXl4ffff0dkZKSns+LVstzUxyhvPcU9GYlITbw6MD7zzDPYtWsXkpOT8dNPP2HcuHGwWCyIi4vzdNa8mjL4xtVNqdx6iohUyKv7GM+dO4f77rsP6enpCA0NRZ8+fbBv3z5ER0d7OmteTVkSztWjUtnHSEQq5NWBccOGDZ7OQoPk6k2KZVz5hojUyKubUqlu3DWPkSvfEJEaMTCqkDt21wDYlEpE6sTAqELua0qVV77hqFQiUg8GRpWx2QSy3TX4xm4eoxDCpe9FROQuDIwqk11QpPzs8iXhjMWDb4SAEoyJiBo6BkaVkZtRNRJg1Lm2eE16DXQaCQBHphKRejAwqoz9iFRJklz6XpIk2TWnsp+RiNSBgVFlrCULiLu6GVVmNnL1GyJSFwZGlZGnTrh6k2IZAyMRqQ0Do8qU7qzhnhpjoLwnI+cyEpFKMDCqjLt21pCZufoNEakMA6PKWN20SbFMrplykj8RqQUDo8q4a5NiGTcrJiK1YWBUGWXwDZtSiYjqhIFRZeQVaNw1+CaAC4kTkcowMKqMMvjGTX2M3JORiNSGgVFl3LWzhkyZx8gaIxGpBAOjysijUt0/XYOjUolIHRgYVcbq5nmM8qhUNqUSkVowMKqMNV/uY3TTdA0jV74hInVhYFQZd9cYOV2DiNSGgVFllD5Gt41KLQmM+YWw2YRb3pOIyJUYGFXGU6NShShtxiUiasgYGFVECKEEJ3dN8DfqNNBrizdEZj8jEakBA6OK5BbYILdmumtJOEmSOMmfiFSFgVFF7Jsy/fTuaUoFuFkxEakLA6OKKP2LBi00Gslt72vmeqlEpCIMjCri7p01ZKWT/Ln6DRE1fAyMKuLunTVkAZzLSEQq4t5vUHKpLDdP1ZCxKZWoYSkewV6Eq9Z8ZOQUwKjTwKTXljyKf9ZrfbfexMCoInIfo5+bJvfLzFwvlcgjCopsyMwtRGZuATJzC2Ep+TcztxAZOQW4lp2PK9Z8XC3591p2gfK8oKjqBTl0GskhWDYqCZZajeT4kCTotKU/azUSNJIEqYJhDhUdEwKwCQGbKA7YtpLnosy/Bp0Gqx+80Un/c1VjYFSR7DxPNaVyugaRs2TnFyI1IxepllxctOQiNSOv5N9cXMzMRUZOgRIMcwts9Xovo06DwEZ6FBbZkFNQ5HC9QptAVl6h17QENXLjSHsGRhVRBt+4aQFxWWlTKgffEFWnsMiGv67l4NQlK06lW3HqUhbOXsnGhYziQFiXPzD9DFoEmHQIMOmVfwNNOgT7G9DYz4BgfwOu89Mrzxv7GxDsZ0CjMt8VQgjkFdqQWxIki4NlkfJvYZFAkU2g0Fb8b/HPNtiEUF4rEqLC5SErqp8KAWik4vnQGkmCRgI0kgSU/Cs/lyRAp3Ff0y4Do4rITakeG3zjJX9ZEnmDK9Z8nLyUhVOXskoCoBXJ6VacuWytthnT36BFeJAJEYHFj7BAEyICjYgIMuE6PwMCTDoElgRBs1EHnZP6AyWptPnUlzEwqog1372bFMu4JyP5svSsPCRdzEJSWiaSLmbhz4uZOJGWhcvW/ErPMeo0aBXij1Yh/mgd6o/oJv6ICmqEiCAjwgNNSvcEeQYDo4rYT/B3J7ORfYykfulZefjzYqYSBP+8mIUTaVm4UkUAbHpdI7QO9UfrEH+0DjUrgTAqqJFbF+Gg2mFgVBFlk2I31xg5XYPU5Ko1H39ezMSfaVlIupiJ46mZSKoiAEoS0LyxH9qHm9E2LADtwsxoHx6ANmH+bh8hTs7BUlMRd29SLOPKN9TQCCGQnpWPE2lZOHEpCycuFge/Py9mIT0rr8Jz7ANgu/CA4n/DAtAm1FxuEAs1bAyMKqJsUuzmCf5c+Ya8lc0m8Ne1HJy4lIWTacVNn0kl/2bkVP6HXLPGjdA+PADtws1oHxaA9uEBaBvGAOgrGkRgXL58ORYvXowLFy6gc+fOWLp0KQYOHOjpbHkdpSnV3RP8S2qo1vwiFNkEtOw7ITcrKLLhzGVrceC7WFILTMvCqUtW5BQUVXiOJAEtgv3QNtSMtmFmtClpAm0XZnZ7qwt5F68v/Y0bN2Lq1KlYvnw5+vfvj//85z8YOXIkfvvtN7Ro0cLT2fMqnpquIa98AxT3MwY14og6cq4im8DV7HykZ+UhPTMfFy25OJVeHPxOpGXhzOVsFFYwdw4A9FoJrUNKg1/bMDPahprROtTf56clUMW8PjAuWbIEkyZNwsMPPwwAWLp0KbZu3YoVK1Zg/vz5Hs6dd5GbUt29u4ZRp4VBp0F+oY2Bkcqx2YonjWfnFyoTxbPzi5CTX+T4vKAImbmFSM/MKw6AWSWBMCsPV6z5qCTuKfwN2tLAVxL82oaZ0SLYz2nz/Mg3eHVgzM/Px88//4yZM2c6HI+NjcWePXsqPCcvLw95eaWd5xaLpd752HL0At78Lqne16krUfKFIFC8bqBQjovin0sOXMjIAQCY3dzHCAABRh0uF+ZjzFs/wqCViley0MirVxSvXKGRJEhApesokuuIaoKKQ9qSD5T9OfafOftjRTZhtxqKrXhFlKLilVHk57V57+o09tMjxGxEaIARLUP8leDXNsyMyCATJH6wyAm8OjCmp6ejqKgI4eHhDsfDw8ORmppa4Tnz58/HvHnznJqPa9kF+CM106nXdBWzUYeIoEZuf9/OTYOw+89LlY7oIwIAg04DP4MWjfTFD5NeW/zcUPyz2ahDiNmAELOx+BFgVJ4H+xt8escHch+vDoyysn8FCiEq/ctw1qxZmD59uvLcYrGgefPm9Xr/WzqG4qNJN9XrGvVVsnxgyRNAgqQck6TSn6Ob+Lu9jxEA3o+LwZ8XMx1Wyi9eGb/kZ5vj6vnkfhXudlBpYvmf0hSS5PASAECn1UBXssuCTiuV/Fx8zH7HBXmZMQ7MoobAqwNjSEgItFptudphWlpauVqkzGg0wmg0OjUfkUGNEOmBWlhDotdq0DkqyNPZICKqN69ulzAYDOjVqxcSEhIcjickJKBfv34eyhUREamZV9cYAWD69OmYOHEiYmJi0LdvX6xcuRJnz57FP/7xD09njYiIVMjrA+O9996Ly5cv46WXXsKFCxfQpUsXbNmyBdHR0Z7OGhERqZAkhDMHU3sfi8WCoKAgZGRkIDAw0NPZISIiD6lpPPDqPkYiIiJ3Y2AkIiKyw8BIRERkx+sH39SX3IXqjKXhiIio4ZLjQHVDa1QfGDMzi5dyq+/qN0REpA6ZmZkICqp8QRLVj0q12Ww4f/48AgIC6rXAsLy0XEpKSoMf3cp78U68F+/Ee/FOdbkXIQQyMzMRFRUFjabynkTV1xg1Gg2aNWvmtOsFBgY2+A+UjPfinXgv3on34p1qey9V1RRlHHxDRERkh4GRiIjIDgNjDRmNRsyZM8fpO3d4Au/FO/FevBPvxTu58l5UP/iGiIioNlhjJCIissPASEREZIeBkYiIyA4DIxERkR0GRjvLly9Hq1atYDKZ0KtXL3z//feVpl29ejUkSSr3yM3NdWOOy9u9ezdGjx6NqKgoSJKETz/9tNpzdu3ahV69esFkMqF169Z45513XJ/RGqjtvezcubPCMvnjjz/ck+EqzJ8/H71790ZAQADCwsJw55134vjx49Wet2nTJlx//fUwGo24/vrrER8f74bcVq0u9+Ktvy8rVqxAt27dlEniffv2xddff13lOd5YJkDt78Vby6Qi8+fPhyRJmDp1apXpnFU2DIwlNm7ciKlTp+L5559HYmIiBg4ciJEjR+Ls2bOVnhMYGIgLFy44PEwmkxtzXZ7VakX37t3x1ltv1Sh9cnIyRo0ahYEDByIxMRGzZ8/Gk08+iU2bNrk4p9Wr7b3Ijh8/7lAm7dq1c1EOa27Xrl2YPHky9u3bh4SEBBQWFiI2NhZWq7XSc/bu3Yt7770XEydOxC+//IKJEyfinnvuwU8//eTGnJdXl3sBvPP3pVmzZliwYAEOHjyIgwcPYsiQIRgzZgx+/fXXCtN7a5kAtb8XwDvLpKwDBw5g5cqV6NatW5XpnFo2goQQQtx4443iH//4h8Oxjh07ipkzZ1aYftWqVSIoKMgNOas7ACI+Pr7KNM8995zo2LGjw7HHHntM9OnTx4U5q72a3MuOHTsEAHH16lW35Kk+0tLSBACxa9euStPcc8894tZbb3U4NmLECDF+/HhXZ69WanIvDeH3Rda4cWPx3nvvVfhaQykTWVX30hDKJDMzU7Rr104kJCSIQYMGiaeeeqrStM4sG9YYAeTn5+Pnn39GbGysw/HY2Fjs2bOn0vOysrIQHR2NZs2a4fbbb0diYqKrs+p0e/fuLXffI0aMwMGDB1FQUOChXNVPz549ERkZiaFDh2LHjh2ezk6FMjIyAADBwcGVpqmsbKr6THpCTe4F8P7fl6KiImzYsAFWqxV9+/atME1DKZOa3Avg/WUyefJk3HbbbRg2bFi1aZ1ZNgyMANLT01FUVITw8HCH4+Hh4UhNTa3wnI4dO2L16tX4/PPPsX79ephMJvTv3x9JSUnuyLLTpKamVnjfhYWFSE9P91Cu6iYyMhIrV67Epk2bsHnzZnTo0AFDhw7F7t27PZ01B0IITJ8+HQMGDECXLl0qTVdZ2VT2mfSEmt6LN/++HD16FGazGUajEf/4xz8QHx+P66+/vsK03l4mtbkXby4TANiwYQMOHTqE+fPn1yi9M8tG9btr1EbZbamEEJVuVdWnTx/06dNHed6/f3/ccMMNWLZsGd58802X5tPZKrrvio57uw4dOqBDhw7K8759+yIlJQWvvfYabr75Zg/mzNGUKVNw5MgR/PDDD9Wmrc1n0hNqei/e/PvSoUMHHD58GNeuXcOmTZsQFxeHXbt2VRpQvLlManMv3lwmKSkpeOqpp7Bt27Za9Xk6q2xYYwQQEhICrVZb7i+LtLS0cn+BVEaj0aB3795e89dWTUVERFR43zqdDk2aNPFQrpynT58+XlUmTzzxBD7//HPs2LGj2u3QKiubmn4mXa0291KWN/2+GAwGtG3bFjExMZg/fz66d++ON954o8K03l4mtbmXsrypTH7++WekpaWhV69e0Ol00Ol02LVrF958803odDoUFRWVO8eZZcPAiOIPU69evZCQkOBwPCEhAf369avRNYQQOHz4MCIjI12RRZfp27dvufvetm0bYmJioNfrPZQr50lMTPSKMhFCYMqUKdi8eTO2b9+OVq1aVXtOZWVT08+kq9TlXiq6hrf+vgghkJeXV+Fr3lomlanqXipK6y1lMnToUBw9ehSHDx9WHjExMZgwYQIOHz4MrVZb7hynlk2th+uo1IYNG4Rerxfvv/+++O2338TUqVOFv7+/OH36tBBCiIkTJzqMUJ07d6745ptvxMmTJ0ViYqJ48MEHhU6nEz/99JOnbkEIUTyKKzExUSQmJgoAYsmSJSIxMVGcOXNGCCHEzJkzxcSJE5X0p06dEn5+fmLatGnit99+E++//77Q6/Xik08+8dQtKGp7L6+//rqIj48Xf/75pzh27JiYOXOmACA2bdrkqVtQPP744yIoKEjs3LlTXLhwQXlkZ2cracp+xn788Ueh1WrFggULxO+//y4WLFggdDqd2LdvnyduQVGXe/HW35dZs2aJ3bt3i+TkZHHkyBExe/ZsodFoxLZt24QQDadMhKj9vXhrmVSm7KhUV5YNA6Odt99+W0RHRwuDwSBuuOEGh+HngwYNEnFxccrzqVOnihYtWgiDwSBCQ0NFbGys2LNnjwdy7UieslD2Iec9Li5ODBo0yOGcnTt3ip49ewqDwSBatmwpVqxY4f6MV6C297Jw4ULRpk0bYTKZROPGjcWAAQPEV1995ZnMl1HRfQAQq1atUtKU/YwJIcTHH38sOnToIPR6vejYsaNXBPm63Iu3/r489NBDyu98aGioGDp0qBJIhGg4ZSJE7e/FW8ukMmUDoyvLhttOERER2WEfIxERkR0GRiIiIjsMjERERHYYGImIiOwwMBIREdlhYCQiIrLDwEhERGSHgZGIiMgOAyORm+Tn56Nt27b48ccfPZ0VrzNu3DgsWbLE09kgAsDASOQ2K1euRHR0NPr37+/prDgYPHgwpk6d6tE8vPjii3jllVdgsVg8mg8igIGRyKny8/MrfW3ZsmV4+OGH3Zgb5xFCoLCw0GXX79atG1q2bIm1a9e67D2IaoqBkageBg8ejClTpmD69OkICQnB8OHDK0x36NAhnDhxArfddpvD8RkzZqB9+/bw8/ND69at8cILL6CgoEB5fe7cuejRowc+/PBDtGzZEkFBQRg/fjwyMzOVNJmZmZgwYQL8/f0RGRmJ119/vVwtcPny5WjXrh1MJhPCw8Mxbtw4AMADDzyAXbt24Y033oAkSZAkCadPn8bOnTshSRK2bt2KmJgYGI1GfP/998jLy8OTTz6JsLAwmEwmDBgwAAcOHFDex/68nj17olGjRhgyZAjS0tLw9ddfo1OnTggMDMR9992H7Oxsh/+LO+64A+vXr69zWRA5TV1XOiei4hX+zWazePbZZ8Uff/whfv/99wrTvf7666Jjx47ljv/rX/8SP/74o0hOThaff/65CA8PFwsXLlRenzNnjjCbzWLs2LHi6NGjYvfu3SIiIkLMnj1bSfPwww+L6Oho8e2334qjR4+Ku+66SwQEBCg7ERw4cEBotVqxbt06cfr0aXHo0CHxxhtvCCGEuHbtmujbt6945JFHlO2jCgsLlZ1NunXrJrZt2yZOnDgh0tPTxZNPPimioqLEli1bxK+//iri4uJE48aNxeXLl4UQpTui9OnTR/zwww/i0KFDom3btmLQoEEiNjZWHDp0SOzevVs0adJELFiwwOH/YsuWLcJoNIrc3Nx6lQlRfTEwEtXDoEGDRI8ePapN99RTT4khQ4ZUm27RokWiV69eyvM5c+YIPz8/YbFYlGPPPvusuOmmm4QQQlgsFqHX68XHH3+svH7t2jXh5+enBMZNmzaJwMBAh2uUvQf77XyEKA1wn376qXIsKytL6PV6sXbtWuVYfn6+iIqKEosWLXI479tvv1XSzJ8/XwAQJ0+eVI499thjYsSIEQ7v+csvvwgAyh6oRJ7CplSieoqJiak2TU5ODkwmU7njn3zyCQYMGICIiAiYzWa88MILOHv2rEOali1bIiAgQHkeGRmJtLQ0AMCpU6dQUFCAG2+8UXk9KCgIHTp0UJ4PHz4c0dHRaN26NSZOnIi1a9eWa8asyb2dPHkSBQUFDoOH9Ho9brzxRvz+++8O53Xr1k35OTw8XGkqtj8m34OsUaNGAFDjvBG5CgMjUT35+/tXmyYkJARXr151OLZv3z6MHz8eI0eOxJdffonExEQ8//zz5Qbw6PV6h+eSJMFmswEoHhQjH7Mn7LZZDQgIwKFDh7B+/XpERkbixRdfRPfu3XHt2rVa3VtV71X2mH2eJUmq8h5kV65cAQCEhoZWmy8iV2JgJHKDnj174o8//nAIWD/++COio6Px/PPPIyYmBu3atcOZM2dqdd02bdpAr9dj//79yjGLxYKkpCSHdDqdDsOGDcOiRYtw5MgRnD59Gtu3bwcAGAwGFBUVVftebdu2hcFgwA8//KAcKygowMGDB9GpU6da5bsix44dQ7NmzRASElLvaxHVh87TGSDyBbfccgusVit+/fVXdOnSBUBxoDl79iw2bNiA3r1746uvvkJ8fHytrhsQEIC4uDg8++yzCA4ORlhYGObMmQONRqPU4r788kucOnUKN998Mxo3bowtW7bAZrMpza0tW7bETz/9hNOnT8NsNiM4OLjC9/L398fjjz+uvFeLFi2waNEiZGdnY9KkSfX43yn2/fffIzY2tt7XIaov1hiJ3KBJkyYYO3aswzy9MWPGYNq0aZgyZQp69OiBPXv24IUXXqj1tZcsWYK+ffvi9ttvx7Bhw9C/f3906tRJ6dO87rrrsHnzZgwZMgSdOnXCO++8g/Xr16Nz584AgGeeeQZarRbXX389QkNDy/Vx2luwYAHuvvtuTJw4ETfccANOnDiBrVu3onHjxrXOt73c3FzEx8fjkUceqdd1iJxBEvZtO0TkMkePHsWwYcNw4sQJh8E0zma1WtG0aVP8+9//dkpNzh3efvttfPbZZ9i2bZuns0LEGiORu3Tt2hWLFi3C6dOnnXrdxMRErF+/HidPnsShQ4cwYcIEAMU10oZCr9dj2bJlns4GEQDWGIkavMTERDz88MM4fvw4DAYDevXqhSVLlqBr166ezhpRg8TASEREZIdNqURERHYYGImIiOwwMBIREdlhYCQiIrLDwEhERGSHgZGIiMgOAyMREZEdBkYiIiI7/x9f7QL8RfufcQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_rdf(rdf_job)" ] }, { "cell_type": "markdown", "id": "b0d425f3-278a-4412-8824-4e748254aa0d", "metadata": {}, "source": [ "The covalent C-H bonds give rise to the peak slightly above 1.0 angstrom. The RDF then slowly approaches a value of 1, which is the expected value for an ideal gas." ] }, { "cell_type": "markdown", "id": "d0bbb272-7832-4d25-99ee-f8ea0860f61e", "metadata": { "tags": [] }, "source": [ "## Relation to AMSJob and AMSAnalysisJob\n", "\n", "The ``AMSNVEJob``, ``AMSNVTJob``, and ``AMSNPTJob`` classes are just like normal ``AMSJob``. The arguments populate the job's ``settings``.\n", "\n", "Similarly, ``AMSMSDJob``, ``AMSRDFJob``, and ``AMSVACFJob`` are normal ``AMSAnalysisJob``.\n", "\n", "Let's print the AMS input for the ``nvt_prod_job``. Note that the initial velocities (and the structure) come from the equilibration job." ] }, { "cell_type": "code", "execution_count": 33, "id": "511070a8-52f6-4d2a-b0dc-aafc0a6fcf08", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MolecularDynamics\n", " CalcPressure False\n", " Checkpoint\n", " Frequency 1000000\n", " End\n", " InitialVelocities\n", " File /home/hellstrom/adfhome/userdoc/Tutorials/MolecularDynamicsAndMonteCarlo/MDintroPython/plams_workdir/NVT-equilibration-1/ams.rkf\n", " Type FromFile\n", " End\n", " NSteps 50000\n", " Thermostat\n", " Tau 200\n", " Temperature 300\n", " Type NHC\n", " End\n", " TimeStep 1.0\n", " Trajectory\n", " SamplingFreq 100\n", " WriteBonds True\n", " WriteCharges True\n", " WriteEngineGradients False\n", " WriteMolecules True\n", " WriteVelocities True\n", " End\n", "End\n", "\n", "Task MolecularDynamics\n", "\n", "system\n", " Atoms\n", " C 4.8991753975 7.9740278473 6.3775697371 region=methane\n", " H 4.8683467538 8.2137820200 7.4458000633 region=methane\n", " H 4.1673367662 7.2744382792 6.0825790746 region=methane\n", " H 5.9205406013 7.4765392797 6.3581212674 region=methane\n", " H 4.9558376608 0.7783342389 5.7618450121 region=methane\n", " C 7.6587724748 5.3828517532 3.9641388590 region=methane\n", " H 6.8698649734 4.8317313866 3.3778179915 region=methane\n", " H 0.2738065365 4.6703579393 4.3831550679 region=methane\n", " H 7.0717146417 6.0707959225 4.7219843397 region=methane\n", " H 0.0991413414 6.1111419996 3.3039991412 region=methane\n", " C 5.6671425842 2.7639143055 1.2013928468 region=methane\n", " H 5.8462523091 3.5840808162 0.4921047085 region=methane\n", " H 5.1214645109 3.2889365378 2.0376920558 region=methane\n", " H 6.5837613388 2.3766913449 1.6907559322 region=methane\n", " H 5.1133883924 1.8857607878 0.8250731793 region=methane\n", " C 4.1960346321 4.3580201278 6.3056249959 region=methane\n", " H 3.6542670429 3.4145322927 6.6809545281 region=methane\n", " H 3.7448499430 4.8589270599 5.3933015692 region=methane\n", " H 5.2713201496 4.0618477332 6.0444114424 region=methane\n", " H 4.2868382062 5.1676723523 7.1000894876 region=methane\n", " C 1.8049036041 2.3129478126 2.6986805196 region=methane\n", " H 2.7114518958 2.0238584997 3.2447092247 region=methane\n", " H 1.7764044745 3.4054848982 2.5234918974 region=methane\n", " H 0.8561739944 2.0576675174 3.2586312190 region=methane\n", " H 1.7883477865 1.8672415543 1.6600099661 region=methane\n", " C 0.7559457199 1.2173566947 6.6873947861 region=methane\n", " H 1.4541146736 0.4854421168 7.1911505341 region=methane\n", " H 0.9283749739 1.2662409976 5.6516831256 region=methane\n", " H 0.8270781445 2.1744703897 7.2157820394 region=methane\n", " H 7.8562679782 0.7411978461 6.7808346203 region=methane\n", " C 4.5345529082 7.1287265435 3.0988390256 region=methane\n", " H 3.4574064146 7.1967953478 3.4064816179 region=methane\n", " H 5.2224156425 7.9563551507 3.3910200754 region=methane\n", " H 4.7521346240 7.0597973228 2.0034384492 region=methane\n", " H 4.8918318898 6.2164545574 3.6282340398 region=methane\n", " C 0.9960251868 5.0584341712 7.6466008887 region=methane\n", " H 0.3715092607 4.7246524039 6.7830667429 region=methane\n", " H 0.5455196747 6.0377495075 -0.0708332056 region=methane\n", " H 2.0482928915 5.3668835200 7.3275293746 region=methane\n", " H 1.1410307748 4.3577703569 0.3364731756 region=methane\n", " End\n", " BondOrders\n", " 1 2 1.0\n", " 1 3 1.0\n", " 1 4 1.0\n", " 1 5 1.0 0 1 0\n", " 6 7 1.0\n", " 6 8 1.0 1 0 0\n", " 6 9 1.0\n", " 6 10 1.0 1 0 0\n", " 11 12 1.0\n", " 11 13 1.0\n", " 11 14 1.0\n", " 11 15 1.0\n", " 16 17 1.0\n", " 16 18 1.0\n", " 16 19 1.0\n", " 16 20 1.0\n", " 21 22 1.0\n", " 21 23 1.0\n", " 21 24 1.0\n", " 21 25 1.0\n", " 26 27 1.0\n", " 26 28 1.0\n", " 26 29 1.0\n", " 26 30 1.0 -1 0 0\n", " 31 32 1.0\n", " 31 33 1.0\n", " 31 34 1.0\n", " 31 35 1.0\n", " 36 37 1.0\n", " 36 38 1.0 0 0 1\n", " 36 39 1.0\n", " 36 40 1.0 0 0 1\n", " End\n", " Lattice\n", " 8.1068205709 0.0000000000 0.0000000000\n", " 0.0000000000 8.1068205709 0.0000000000\n", " 0.0000000000 0.0000000000 8.1068205709\n", " End\n", "End\n", "\n", "Engine ForceField\n", " Type UFF\n", "EndEngine\n", "\n", "\n" ] } ], "source": [ "print(nvt_prod_job.get_input())" ] }, { "cell_type": "markdown", "id": "8606b6c1-81f6-43cd-8e41-bd492d15954e", "metadata": {}, "source": [ "And similarly the input to the AMS MD postanalysis program for the ``msd_job``:" ] }, { "cell_type": "code", "execution_count": 34, "id": "c1bafb31-16ce-4833-b011-f17616629b5f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MeanSquareDisplacement\n", " Atoms\n", " Atom 1\n", " Atom 6\n", " Atom 11\n", " Atom 16\n", " Atom 21\n", " Atom 26\n", " Atom 31\n", " Atom 36\n", " end\n", " MaxStep 80\n", " Property DiffusionCoefficient\n", " StartTimeSlope 3000\n", "end\n", "\n", "Task MeanSquareDisplacement\n", "\n", "TrajectoryInfo\n", " Trajectory\n", " KFFileName /home/hellstrom/adfhome/userdoc/Tutorials/MolecularDynamicsAndMonteCarlo/MDintroPython/plams_workdir/NVT-production-1/ams.rkf\n", " end\n", "end\n", "\n", "\n" ] } ], "source": [ "print(msd_job.get_input())" ] }, { "cell_type": "markdown", "id": "22a9acff-b3a1-4459-8719-34304b02e718", "metadata": {}, "source": [ "## Velocity autocorrelation function, power spectrum, AMSNVESpawner\n", "\n", "The Fourier transform of the velocity autocorrelation function gives the power spectrum, containing characteristic frequencies of all the vibrations, rotations, and translations of the molecules.\n", "\n", "To calculate the velocity autocorrelation function, you need to\n", "\n", "* run several short NVE simulations with equilibrated initial velocities\n", "* write the velocities to disk every step\n", "* calculate the autocorrelation function\n", "\n", "For the first two steps, we'll use the ``AMSNVESpawnerJob`` class, initializing NVE simulations from evenly spaced frames in the ``nvt_prod_job`` job. For the last step, we'll use the ``AMSVACFJob``." ] }, { "cell_type": "code", "execution_count": 35, "id": "c8da2530-0999-4016-b8dc-288a61c36e79", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[16.12|14:00:18] JOB nvespawner-NVT-production-1 STARTED\n", "[16.12|14:00:18] JOB nvespawner-NVT-production-1 RUNNING\n", "[16.12|14:00:18] JOB nvespawner-NVT-production-1/nve1 STARTED\n", "[16.12|14:00:18] JOB nvespawner-NVT-production-1/nve1 RUNNING\n", "[16.12|14:00:28] JOB nvespawner-NVT-production-1/nve1 FINISHED\n", "[16.12|14:00:28] JOB nvespawner-NVT-production-1/nve1 SUCCESSFUL\n", "[16.12|14:00:28] JOB nvespawner-NVT-production-1/nve2 STARTED\n", "[16.12|14:00:28] JOB nvespawner-NVT-production-1/nve2 RUNNING\n", "[16.12|14:00:38] JOB nvespawner-NVT-production-1/nve2 FINISHED\n", "[16.12|14:00:38] JOB nvespawner-NVT-production-1/nve2 SUCCESSFUL\n", "[16.12|14:00:38] JOB nvespawner-NVT-production-1/nve3 STARTED\n", "[16.12|14:00:38] JOB nvespawner-NVT-production-1/nve3 RUNNING\n", "[16.12|14:00:48] JOB nvespawner-NVT-production-1/nve3 FINISHED\n", "[16.12|14:00:48] JOB nvespawner-NVT-production-1/nve3 SUCCESSFUL\n", "[16.12|14:00:48] JOB nvespawner-NVT-production-1 FINISHED\n", "[16.12|14:00:50] JOB nvespawner-NVT-production-1 SUCCESSFUL\n" ] } ], "source": [ "nvespawner_job = AMSNVESpawnerJob(\n", " nvt_prod_job,\n", " name=\"nvespawner-\" + nvt_prod_job.name,\n", " n_nve=3, # the number of NVE simulations to run\n", " samplingfreq=1, # write to disk every frame for velocity autocorrelation\n", " writevelocities=True,\n", " timestep=1.0, # ideally use smaller timestep\n", " nsteps=3000, # 3000 steps (here = 3000 fs) is very short, for demonstration purposes only\n", ")\n", "nvespawner_job.run();" ] }, { "cell_type": "markdown", "id": "5d6397a3-a825-4994-aee1-38db148c884a", "metadata": {}, "source": [ "Let's then create the AMSVACFJobs. The previous NVE jobs are accessed by ``nvespawner_job.children.values()``:" ] }, { "cell_type": "code", "execution_count": 36, "id": "53122da5-f73b-4098-afed-e27332323491", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[16.12|14:00:50] JOB vacf-nve1-nvespawner-NVT-production-1 STARTED\n", "[16.12|14:00:50] JOB vacf-nve1-nvespawner-NVT-production-1 RUNNING\n", "[16.12|14:00:51] JOB vacf-nve1-nvespawner-NVT-production-1 FINISHED\n", "[16.12|14:00:51] JOB vacf-nve1-nvespawner-NVT-production-1 SUCCESSFUL\n", "[16.12|14:00:51] JOB vacf-nve2-nvespawner-NVT-production-1 STARTED\n", "[16.12|14:00:51] JOB vacf-nve2-nvespawner-NVT-production-1 RUNNING\n", "[16.12|14:00:52] JOB vacf-nve2-nvespawner-NVT-production-1 FINISHED\n", "[16.12|14:00:52] JOB vacf-nve2-nvespawner-NVT-production-1 SUCCESSFUL\n", "[16.12|14:00:52] JOB vacf-nve3-nvespawner-NVT-production-1 STARTED\n", "[16.12|14:00:52] JOB vacf-nve3-nvespawner-NVT-production-1 RUNNING\n", "[16.12|14:00:53] JOB vacf-nve3-nvespawner-NVT-production-1 FINISHED\n", "[16.12|14:00:54] JOB vacf-nve3-nvespawner-NVT-production-1 SUCCESSFUL\n" ] } ], "source": [ "vacf_jobs = []\n", "for job in nvespawner_job.children.values():\n", " vacf_job = AMSVACFJob(\n", " job,\n", " name=\"vacf-\" + job.name + \"-\" + nvespawner_job.name,\n", " max_correlation_time_fs=1000, # 1000 fs is very short, for demo purposes only\n", " )\n", " vacf_jobs.append(vacf_job)\n", " vacf_jobs[-1].run();" ] }, { "cell_type": "markdown", "id": "99b59e92-a9d7-4a3a-bd07-74ef456fb3da", "metadata": {}, "source": [ "Let's get and plot the average velocity autocorrelation function and power spectrum" ] }, { "cell_type": "code", "execution_count": 37, "id": "0e67d3bd-5fbd-4a33-a3cb-ffebba2f0321", "metadata": {}, "outputs": [], "source": [ "def plot_vacf(vacf_jobs):\n", " \"\"\"vacf_jobs is a list of AMSVACFJob, plot the average velocity autocorrelation function\"\"\"\n", " x, y = zip(*[job.results.get_vacf() for job in vacf_jobs])\n", " x = np.mean(x, axis=0)\n", " y = np.mean(y, axis=0)\n", " plt.figure(figsize=(5, 3))\n", " plt.plot(x, y)\n", " plt.xlabel(\"Correlation time (fs)\")\n", " plt.ylabel(\"Normalized velocity autocorrelation function\")\n", " plt.title(\"Average velocity autocorrelation function\")\n", "\n", "\n", "def plot_power_spectrum(vacf_jobs, newfigure=True):\n", " x, y = zip(*[job.results.get_power_spectrum() for job in vacf_jobs])\n", " x = np.mean(x, axis=0)\n", " y = np.mean(y, axis=0)\n", " if newfigure:\n", " plt.figure(figsize=(5, 3))\n", " plt.plot(x, y)\n", " plt.xlabel(\"Frequency (cm^-1)\")\n", " plt.ylabel(\"Intensity (arb. units)\")\n", " plt.title(\"Average power spectrum\")" ] }, { "cell_type": "code", "execution_count": 38, "id": "147c672b-a66f-47f0-9bf0-fd045c94d36f", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_vacf(vacf_jobs)\n", "plot_power_spectrum(vacf_jobs)" ] }, { "cell_type": "markdown", "id": "6fd1f9de-60f3-4824-91bb-0662878ac94e", "metadata": {}, "source": [ "Let's compare the power spectrum to the calculated frequencies from a gasphase geometry optimization + frequencies calculation (harmonic approximation). First, let's define and run the job. Remember: ``s`` is the UFF settings from before, and ``single_molecule`` is the single methane molecule defined before." ] }, { "cell_type": "code", "execution_count": 39, "id": "4543fbe8-fe24-4bbe-99ee-33e6783ab128", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[16.12|14:00:54] JOB methane-optfreq STARTED\n", "[16.12|14:00:54] JOB methane-optfreq RUNNING\n", "[16.12|14:00:54] JOB methane-optfreq FINISHED\n", "[16.12|14:00:54] JOB methane-optfreq SUCCESSFUL\n", "Normal modes stored in /home/hellstrom/adfhome/userdoc/Tutorials/MolecularDynamicsAndMonteCarlo/MDintroPython/plams_workdir/methane-optfreq/forcefield.rkf\n" ] } ], "source": [ "sfreq = Settings()\n", "sfreq.input.ams.Task = \"GeometryOptimization\"\n", "sfreq.input.ams.Properties.NormalModes = \"Yes\"\n", "sfreq += s # UFF engine settings used before\n", "freq_job = AMSJob(\n", " settings=sfreq, name=\"methane-optfreq\", molecule=single_molecule\n", ") # single_molecule defined at the beginning\n", "freq_job.run()\n", "print(\"Normal modes stored in {}\".format(freq_job.results.rkfpath(file=\"engine\")))" ] }, { "cell_type": "markdown", "id": "87ee7b91-d2b2-4128-8ff1-4041f1f85640", "metadata": {}, "source": [ "You can open the ``forcefield.rkf`` file in AMSspectra to visualize the vibrational normal modes. You can also access the frequencies in Python:" ] }, { "cell_type": "code", "execution_count": 40, "id": "1c77463c-b7e4-414a-9811-38ef2a34c5c6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "There are 9 frequencies for gasphase methane\n", "1310.1 cm^-1\n", "1310.1 cm^-1\n", "1310.1 cm^-1\n", "1467.4 cm^-1\n", "1467.4 cm^-1\n", "2783.4 cm^-1\n", "2942.0 cm^-1\n", "2942.0 cm^-1\n", "2942.0 cm^-1\n" ] } ], "source": [ "freqs = freq_job.results.get_frequencies()\n", "print(\"There are {} frequencies for gasphase methane\".format(len(freqs)))\n", "for f in freqs:\n", " print(\"{:.1f} cm^-1\".format(f))" ] }, { "cell_type": "markdown", "id": "50835d88-8aa5-43ba-a9ea-95ed767a7241", "metadata": {}, "source": [ "Let's make something similar to a power spectrum by placing a Gaussian at each normal mode frequency and compare to the power spectrum from the molecular dynamics.\n", "\n", "First, define the ``gaussian`` and ``sumgaussians`` function to sum up Gaussian functions along an axis:" ] }, { "cell_type": "code", "execution_count": 41, "id": "b9a30cdf-be17-4a62-a11a-3a47563d195d", "metadata": {}, "outputs": [], "source": [ "def gaussian(x, a, b, c):\n", " return a * np.exp(-((x - b) ** 2) / (2 * c**2))\n", "\n", "\n", "def sumgaussians(x, a, b, c):\n", " # calculate the sum of gaussians centered at b for the different x values\n", " # use numpy array broadcasting by placing x in a row and b in a column\n", " x = np.reshape(x, (1, -1)) # row\n", " b = np.reshape(b, (-1, 1)) # column\n", " return np.sum(gaussian(x, a, b, c), axis=0)" ] }, { "cell_type": "markdown", "id": "97001573-0b50-4c8d-86ed-316b28553c45", "metadata": {}, "source": [ "Then, define the x-axis ``x``, and calculate the spectrum from the frequencies by placing gaussians centered at ``freqs`` with height controlled by ``a`` and width controlled by ``c``:" ] }, { "cell_type": "code", "execution_count": 42, "id": "9e50f399-b3ab-4c0f-8857-6798645f37d1", "metadata": {}, "outputs": [], "source": [ "x = np.arange(5000) # x axis\n", "y = sumgaussians(x, a=2, b=freqs, c=30) # intensities, use suitable numbers for a and c" ] }, { "cell_type": "markdown", "id": "f62326ef-3037-4bf1-b407-4a826f5fcb40", "metadata": {}, "source": [ "Then compare to the power spectrum from MD:" ] }, { "cell_type": "code", "execution_count": 43, "id": "866401e3-c995-4a61-bebe-e825366fc179", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_power_spectrum(vacf_jobs)\n", "plt.plot(x, y)\n", "plt.legend([\"power spectrum from MD\", \"gasphase optimization\"])\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "0fa1d7c6-c237-4ed3-b86a-886307e10c09", "metadata": {}, "source": [ "The most striking difference is the intensity below 500 cm^-1 for the MD simulation. This arises from translational and rotational motion. There are also differences in the other peaks, arising from \n", "\n", "* intermolecular interactions, and\n", "* anharmonicity, and\n", "* sampling during the MD simulation\n", "\n", "Note that the intensity is arbitrarily scaled for both the MD simulation and the gasphase optimization. The above do **not** correspond to IR or Raman spectra. They are power spectra." ] }, { "cell_type": "markdown", "id": "5ce20bf1-8b7b-4724-9f6a-de0ca9ea2afa", "metadata": {}, "source": [ "## Density equilibration\n", "\n", "Typically for liquids (but also for solids), you'd like to know what density your force field predicts at a given temperature.\n", "\n", "For example, you might use the following workflow:\n", "\n", "* ``packmol``: The initial system should have a much lower density than you expect\n", "* ``AMSNVTJob``: Some initial MD is performed at this low density, which gives an implicit conformer search\n", "* ``AMSMDScanDensityJob``: The box is then progressively scaled to a density higher than what you expect. Or you could just start directly with an ``AMSNPTJob`` (two steps down)\n", "* ``AMSNVTJob``: The box size for which the energy was the lowest is used to run a short NVT simulation\n", "* ``AMSNPTJob``: From the NVT simulation an NPT simulation is run\n", "* The average density from the last third of the NPT simulation is used as the \"equilibrated density\". \n", "* ``AMSNPTJob.results.get_equilibrated_molecule()`` returns a molecule from the last third with a density as close as possible to the equilibrated density. \n", "\n", "UFF does not give very good densities. Let's instead try ReaxFF for liquid water. Note: parallelization in ReaxFF uses both MPI and OpenMP. To run in serial, you also need to set the ``OMP_NUM_THREADS`` variable to ``1``." ] }, { "cell_type": "code", "execution_count": 44, "id": "de473a65-ca96-4f23-97d4-f88c515a72f1", "metadata": {}, "outputs": [], "source": [ "reaxff_s = Settings()\n", "reaxff_s.input.ReaxFF.ForceField = \"Water2017.ff\"\n", "reaxff_s.runscript.nproc = 1\n", "reaxff_s.runscript.preamble_lines = [\"export OMP_NUM_THREADS=1\"]" ] }, { "cell_type": "markdown", "id": "038d36f8-acc2-4e6d-ada4-80ec8e718d77", "metadata": {}, "source": [ "Step 1: build the low density system with packmol:" ] }, { "cell_type": "code", "execution_count": 45, "id": "69ac2f2d-4afe-4cfb-9cc0-edddc0f3ecf6", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "low_density_box = packmol(from_smiles(\"O\"), n_molecules=32, region_names=\"water\", density=0.4)\n", "low_density_box = preoptimize(low_density_box, maxiterations=50)\n", "show(low_density_box)" ] }, { "cell_type": "code", "execution_count": 46, "id": "e8e3e69a-3f87-4ffd-80be-c8d5809e407e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[16.12|14:00:55] JOB nvt_low_density_job STARTED\n", "[16.12|14:00:55] JOB nvt_low_density_job RUNNING\n", "[16.12|14:01:04] JOB nvt_low_density_job FINISHED\n", "[16.12|14:01:04] JOB nvt_low_density_job SUCCESSFUL\n" ] } ], "source": [ "# step 2 : initial NVT at low density\n", "\n", "nvt_low_density_job = AMSNVTJob(\n", " molecule=low_density_box,\n", " name=\"nvt_low_density_job\",\n", " settings=reaxff_s,\n", " nsteps=3000, # should be much larger for production purposes,\n", " temperature=300,\n", " tau=100,\n", " samplingfreq=500,\n", " timestep=0.5,\n", ")\n", "nvt_low_density_job.run();" ] }, { "cell_type": "code", "execution_count": 47, "id": "dd92cf60-de5f-4a59-ac13-1870a963c7ed", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[16.12|14:01:04] JOB scan_density_job STARTED\n", "[16.12|14:01:04] JOB scan_density_job RUNNING\n", "[16.12|14:01:32] JOB scan_density_job FINISHED\n", "[16.12|14:01:32] JOB scan_density_job SUCCESSFUL\n" ] } ], "source": [ "# step 3 : scan to higher density\n", "\n", "scan_density_job = AMSMDScanDensityJob.restart_from(\n", " nvt_low_density_job, name=\"scan_density_job\", scan_density_upper=1.4, nsteps=6000, samplingfreq=100\n", ")\n", "scan_density_job.run();" ] }, { "cell_type": "code", "execution_count": 48, "id": "d639c929-4445-4449-9462-722830f7a9b5", "metadata": {}, "outputs": [ { "data": { "image/png": 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w1sh1Q0IIUYAePXqAw+EgMjKyWe/38vKCo6Mj/v77bzlH1r7MmjULBw4cQF5eHjQ1NZUdDlEAuoROCFE4kUiE2NhYHD9+HDdv3pRY6EVaDx48wKVLlxATE4NJkyYpIErV9fXXX8PKygoODg4oLi7G8ePHsWvXLnz11VeUvNsxSuCEtLKamhqJZUsboq7evv40o6KiMHDgQJiYmGD58uUYNWpUvTLV1dWNDiQEgDVr1uDYsWOYMmUK5s6dq8BoVY+GhgbWrVuHx48fo6qqCs7OztiwYQNtXNLO0SV0QlrZihUrxGtYNyYpKemV2/bRzs6uyYVufH196y1sQsirjBI4Ia0sIyPjpRubdO3a9ZW79BkTE9Po5iNA7ZxoaaZVEfKqoAROCCGEqCBayIUQQghRQe1rpIwKq6mpQUZGBvT19ZvcVIMQQkj7xhhDUVERrKysmlyIhxJ4G5GRkQEbGxtlh0EIIaSNSEtLa3J5X0rgbUTdpgVpaWkwMDBQcjSEEEKURSQSwcbGpt5mNi+iBN5G1F02NzAwoAROCCHkpbdTaRAbIYQQooJUJoGvXr0affv2hY6OToM7QOXl5SEgIABWVlbg8XiwsbFBUFAQRCJRk/UWFBRg8uTJ4PP54PP5mDx5MgoLC8Wvr1ixAhwOp95DV1dXXCYkJKTBMs9vA0kIIYTIk8ok8IqKCowdO7bRbRG5XC4CAwNx9OhRPHjwACEhITh79ixmz57dZL3vvvsuoqOjcerUKZw6dQrR0dGYPHmy+PXPPvsMmZmZEo/OnTtj7NixEvUYGBjUK6elpdXyhhNCCCENUJl74HVLT4aEhDT4upGRkURyt7W1xdy5c7Fu3bpG67x37x5OnTqFq1evonfv3gCAnTt3wsfHB/Hx8XBxcYGenh709PTE77l9+zbi4uKwfft2ibo4HA4EAoHU7SkvL5dYdeplVwoIIaqJMYaqqipUV1crOxTSRqipqUFdXb3FU4ZVJoHLKiMjA6GhofD19W20TEREBPh8vjh5A0CfPn3A5/Nx5cqVBpdt3LVrFzp16oT+/ftLHC8uLoatrS2qq6vh6emJb775Bl5eXo2ee82aNS9dD5sQotoqKiqQmZmJ0tJSZYdC2hgdHR1YWlq2aMnkdpfAJ0yYgP/97394+vQpRo4ciV27djVaNisrC+bm5vWOm5ubIysrq97x8vJy7Nu3D1988YXEcVdXV4SEhMDDwwMikQibN29Gv379cPv2bTg7Ozd47sWLF2PBggXi53XTBggh7UNNTQ2SkpKgpqYGKysraGpq0iJNBIwxVFRUIDc3F0lJSXB2dm5ysZamKDWBS7MrU2RkJHr06CF1nRs3bsTy5csRHx+PJUuWYMGCBdi6dWuj5Rv6g2KMNXg8NDQURUVFmDJlisTxPn36oE+fPuLn/fr1Q/fu3fHjjz9iy5YtDZ6Xx+OBx+NJ2yyVUFVdg6QnJbiXVYT7mSLcyxSBy+Fgwzue4OtoKDs8QlpVRUUFampqYGNjAx0dHWWHQ9oQbW1taGhoICUlBRUVFc0eL6XUBB4UFITx48c3WUbWLRUFAgEEAgFcXV1hYmKC/v37Y+nSpbC0tGywbHZ2dr3jubm5sLCwqHd8165dGDFixEvvdXO5XPTs2RMPHz6UKXZVdelhLr4/FY/47CJUVNXf5/rPG2mYOcBBCZERonzN7V2R9k0evxdKTeCmpqYwNTVVWP11G601tkWhj48PhEIhrl+/jl69egEArl27BqFQiL59+0qUTUpKQlhYGI4ePSrVeaOjo+Hh4dHCFrR9jDGsOn4P8dlFAAAdTTW4CvThammAsopqhN5Kx+Fb6ZTACSFEzlTmHnhqairy8/ORmpqK6upqREdHAwCcnJygp6eHkydPIjs7Gz179oSenh7i4uKwcOFC9OvXT9yLv379OqZMmYJz587B2toabm5uCAgIwMyZM7Fjxw4AwKxZszBixIh6A9j27NkDS0tLDB06tF5sK1euRJ8+feDs7AyRSIQtW7YgOjoaP//8s0I/k7bgboYI8dlF0FTn4sRHr8HRTA9cbu3th4KSChy9nYG4TBEeZBehk0XTywISQgiRnspc21m2bBm8vLywfPlyFBcXw8vLC15eXrhx4waA2nsKO3fuxGuvvQY3NzfMnz8fI0aMwPHjx8V1lJaWIj4+HpWVleJj+/btg4eHB4YMGYIhQ4aga9eu+O233yTOXVNTg5CQEEybNg1qamr1YissLMSsWbPg5uaGIUOGID09HRcvXhT36tuzv28+BgD4uwvgbKEvTt4AYKSrCT8XMwDAkVvpSomPEKIa7OzssGnTJmWHoVI4rO46M1EqkUgEPp8PoVCoMmuhl1dVo/e351BYWomQ6T3h51J/RP+x2xn46MAtWBtq49LCgRIJnpD2rKysDElJSbC3t1epRZ1eNlJ+6tSpja7HUff+w4cPY9SoUTKd187ODvPnz8f8+fMbfL2xQc8uLi64f/++TOdqC5r6/ZA2H6jMJXTS9oTdz0FhaSUsDHjo72zWYJnBbhbQ46kjvfApbqYWoKedcStHSQiRRWZmpvj///jjDyxbtgzx8fHiY9ra2soICwDg7u6Os2fPShxTV1dsGquoqGjRXG1FUplL6KTt+ftm7WXxt7w6QK2RnrW2phr83WtH7R+my+jkFccYQ2lFlVIe0l5srZvJIxAIwOfzxatM1j32798PR0dHaGpqwsXFReKWY914o7feegscDkf8PDExEYGBgbCwsICenh569uxZLxFLQ11dXSIWgUAgMRDazs4O3377Ld577z3o6+ujY8eO+OWXXyTqSE9Px7hx42BkZAQTExMEBgYiOTlZ/Pq0adMwatQorFmzBlZWVujUqRMA4MqVK/D09ISWlhZ69OiBI0eOgMPhIDo6GowxODk5Yf369RLnio2NBZfLRWJiosxtlerzUEitpN3LLSpHWHwOAGCMt3WTZd/yssahqMc4cScTK0a6Q1OdvjeSV9PTymp0XnZaKeeO+9ofOpot+yf/8OHDmDdvHjZt2oTBgwfj+PHjmD59Ojp06ICBAwciMjIS5ubmCA4ORkBAgHjMUHFxMYYNG4ZVq1ZBS0sLe/fuxciRIxEfH4+OHTvKo3liP/zwA7755hssWbIEf//9N+bMmYMBAwbA1dUVpaWlGDhwIPr374+LFy9CXV0dq1atQkBAAO7cuSPuaZ87dw4GBgb4999/wRhDUVERRo4ciWHDhmH//v1ISUmRuNTP4XDw3nvvITg4GJ999pn4+J49e9C/f384OjrKtY116F9S0iz/i05HdQ1DNxtDOJk3Pbrcx9EE5vo8CJ9WIvxZ0ieEqJ7169dj2rRpmDt3Ljp16oQFCxZg9OjR4p6nmVntrTRDQ0MIBALx827duuGDDz6Ah4cHnJ2dsWrVKjg4OEg1Lfd5MTEx4v0p6h4zZsyQKDNs2DDMnTsXTk5OWLRoEUxNTREeHg4AOHjwILhcLnbt2gUPDw+4ubkhODgYqamp4jIAoKuri127dsHd3R1dunTBvn37wOFwsHPnTnTu3BlDhw7F559/LnHe6dOnIz4+HtevXwcAVFZW4vfff8d7770nUxtlQT1wIjPGmHj0+RjvDi8tr8bl4M1uVth1OQn/i87AEHfpN30hpD3R1lBD3Nf+Sjt3S927dw+zZs2SONavXz9s3ry5yfeVlJRg5cqVOH78ODIyMlBVVYWnT58iNTVVpvO7uLjUS/r6+pIdiK5du4r/v+7yf05Obcfh5s2bSEhIqPeesrIyicvcHh4eEve94+Pj0bVrV4nBZi/OMrK0tMTw4cOxZ88e9OrVC8ePH0dZWVm9nSvliRI4kdndDBHuZxVBU42LN7taSfWeUV7W2HU5Cf/ey4aorBIGWrS0Knn1cDicFl/GVrYXR6k3tvT08z7//HOcPn0a69evh5OTE7S1tTFmzBhUVFTIdG5NTU04OTk1WUZDQ/LfFg6Hg5qa2hUia2pq4O3tjX379tV7X93VAqC2B/68htrY0JiCGTNmYPLkydi4cSOCg4Mxbtw4hS6jS5fQicwORdX2vt9wt5B6jXN3KwM4meuhoqoGp2LrbxRDCGn73NzccPnyZYljV65cgZubm/i5hoZGva1TL126hGnTpuGtt96Ch4cHBAKBxMCx1tK9e3c8fPgQ5ubmcHJyknjw+fxG3+fq6oo7d+5IrOpZtwbJ84YNGwZdXV1s27YN//zzj0IvnwOUwImMKqpq8L/oDADSXT6vw+FwMMqztrf+v2gajU6IKvr8888REhKC7du34+HDh9iwYQNCQ0MlBm7Z2dnh3LlzyMrKQkFBAYDaFTNDQ0MRHR2N27dv49133xX3imVRVVWFrKwsiUdD+1k0ZuLEiTA1NUVgYCAuXbqEpKQkXLhwAfPmzcPjx48bfV9dvLNmzcK9e/fEVxMAySsSampqmDZtGhYvXgwnJyf4+PjI3EZZUAInMgmLz0F+SQXM9Hno7yTbOvaBnrWj1a8k5iFLWKaI8AghCjRq1Chs3rwZ69atg7u7O3bs2IHg4GD4+fmJy/zwww/4999/YWNjAy8vLwC1u0QaGRmhb9++GDlyJPz9/dG9e3eZz3/37l1YWlpKPGxtbaV+v46ODi5evIiOHTti9OjRcHNzw3vvvYenT582uWCKgYEBjh07hujoaHh6euLLL7/EsmXLAKDeIizvv/8+KioqFN77BmgltjZDVVZim/nrDfwbl40PBjhg8TC3l7/hBWO2XcGNlAJ8OcyNNjgh7ZqqrsRGpLNv3z5Mnz4dQqFQYnGb//77D35+fnj8+HGDu1rWkcdKbNQDJ1LLKy5H2P3a0Zxvy3D5/HmBXrW9cFrUhRCiSn799VdcvnwZSUlJOHLkCBYtWoR33nlHnLzLy8uRkJCApUuX4p133mkyecsLJXAitaO3M1BVw9CtA7/ZO4uN8LCEhhoHcZkiJOQUyTlCQghRjKysLEyaNAlubm745JNPMHbsWIlV3g4cOAAXFxcIhUJ8//33rRITJXAitbP3ageLjOwm3dSxhhjpauK1Z/fOT8bQaHRCiGpYuHAhkpOTxZe+N27cKDFFbNq0aaiursbNmzdhbd306pTyQgmcSKWkvAqRSbUjSge61t91TBZDPSwBACdjMl9SkhBCSGMogROpXEnMQ0V1DWyMteFgqvvyNzRhSGcLqHM5uJ9VhEe5xXKKkJC2icYJk4bI4/eCEjiRyoUHtYPX/DqZv3TVpZcx1NFE32eX0f+hRV1IO1W3IlhpaamSIyFtUd3vxYsrx8lCtdf0I62CMYbw+FwAgJ9Lw/t+y2pYFwEuPsjFyZhMfDiw6aURCVFFampqMDQ0FK/DraOj0+Ivv0T1McZQWlqKnJwcGBoaindsaw5K4OSlEnNL8LjgKTTVuPBxNJFLnUPcBfjySCzuZoiQklcCW5OWXZYnpC0SCGo37qlL4oTUqduxrSUogZOXqtsCtLeDsdw2YjDW1YSPgwkuJzzByZgszPFTzH65hCgTh8OBpaUlzM3NUVlZqexwSBuhoaHRop53HUrg5KUuPKi9fO7bST6Xz+sM9RDgcsIT/BObSQmctGtqampy+QebkOepzCC21atXo2/fvtDR0YGhoWG91/Py8hAQEAArKyvweDzY2NggKCgIIpGoRfUCQGpqKkaOHAldXV2Ympri448/rrcN3oULF+Dt7Q0tLS04ODhg+/btzW1qm1JaUYVrj/IByO/+dx1/dwG4HODOYyHS8mmgDyGEyEJlEnhFRQXGjh2LOXPmNPg6l8tFYGAgjh49igcPHiAkJARnz57F7NmzW1RvdXU1hg8fjpKSEly+fBkHDx7EoUOH8Omnn4rLJCUlYdiwYejfvz9u3bqFJUuW4OOPP8ahQ4ea3+A24uqj2ulj1obacDTTk2vdpno89LavvadOW4wSQoiMmIoJDg5mfD5fqrKbN29mHTp0aFG9J0+eZFwul6Wnp4uPHThwgPF4PCYUChljjC1cuJC5urpKvO+DDz5gffr0kercjDEmFAoZAHGdbcXSIzHMdtFxtiT0jkLq//VKErNddJwF/nRZIfUTQoiqkTYfqEwPXFYZGRkIDQ2Fr69vi+qJiIhAly5dYGX1/8uH+vv7o7y8HDdv3hSXGTJkiMT7/P39cePGjUYHrpSXl0MkEkk82homMX2sZauvNcbfXQAOB4hOK0R64VOFnIMQQtqjdpfAJ0yYAB0dHVhbW8PAwAC7du1qUX1ZWVn1dpUxMjKCpqYmsrKyGi1jYWGBqqoqPHnypMF616xZAz6fL37Y2Ni0KE5FSHpSgtT8UmiocdBXTtPHXmRuoIWetsYA6DI6IYTIQqkJfMWKFeBwOE0+bty4IVOdGzduRFRUFI4cOYLExEQsWLCgxXE2tPgCY0zi+Itl2LNl8hpbuGHx4sUQCoXiR1paWovjlLe63ndPO2Po8hQ3YWGYR+1cyH9obXRCCJGaUqeRBQUFYfz48U2WsbOzk6lOgUAAgUAAV1dXmJiYoH///li6dCksLS2bFaNAIMC1a9ckjhUUFKCyslLc6xYIBOLeeJ2cnByoq6vDxKThniuPxwOPx2tWTK0l/IF8V19rTEAXS6w4FocbKQXIEpZBwNd6+ZsIIeQVp9QEbmpqClNTU4XVX9cLLi8vb3YdPj4+WL16NTIzM8VfAs6cOQMejwdvb29xmWPHjkm878yZM+jRo0eL1rlVprLKalx7lAdAcfe/6wj4WvC2NcLNlAKcis3EtH72Cj0fIYS0BypzDzw1NRXR0dFITU1FdXU1oqOjER0djeLi2t2sTp48ieDgYMTGxiI5ORknT57EnDlz0K9fP3Ev/vr163B1dUV6errU9Q4ZMgSdO3fG5MmTcevWLZw7dw6fffYZZs6cCQMDAwDA7NmzkZKSggULFuDevXvYs2cPdu/ejc8++6x1PyQ5iniUh/KqGljxteBsLt/pYw0ZVrfFKN0HJ4QQ6bTCiHi5mDp1KgNQ7xEWFsYYY+z8+fPMx8eH8fl8pqWlxZydndmiRYtYQUGBuI6wsDAGgCUlJUldL2OMpaSksOHDhzNtbW1mbGzMgoKCWFlZmUR84eHhzMvLi2lqajI7Ozu2bds2mdrX1qaRLf9fLLNddJx9cUgx08delF5QymwXHWd2Xxxn8VmiVjknIYS0RdLmAw5jtFltWyASicDn8yEUCsU9e2XyWxeG5LxS7JjsDX/3li24L625+27iZEwWhntY4ueJ3VvlnIQQ0tZImw9U5hI6aT3JT0qQnFcKdS4H/ZwUN0bhRfMGdQKHA5yIycS9zLY3L54QQtoSSuCknqO3MwAAPeyMoKfA6WMvchHoY0TX2gVzNp190GrnJYQQVUQJnEgQlVVi9+UkAMCEXh1b/fzzBjmBwwFO381GbLqw1c9PCCGqghI4kbD3v2QIn1bC0UxX3BtuTU7m+gjsRr1wQgh5GUrgRExUVoldz3rfHw9yhhq34VXkFO3jQc7gcoCz93JwO61QKTEQQkhbRwmciIU86307mesppfddx8FMD295dQBAvXBCCGkMJXAC4Fnv+9IjAMrtfdf5eJAT1LgchMXnIiq1QKmxEEJIW0QJnAAAgi8nQ1RWBSdzPQz3aN668fJka6KLt7tbAwA2/ku9cEIIeRElcALh00rsvlzb+57XBnrfdT563RnqXA4uPXyCyOR8ZYdDCCFtCiVwgpD/anvfzuZ64jXJ2wIbYx2M7VG7T/oPZ+JBiwYSQsj/owT+ihM+rcSuut734LbT+64T9LoTNNW5uPooH2HxOcoOhxBC2gxK4K+44P+SUFTX++7SdnrfdawNtTG9nx0A4NuT91FVXaPcgAghpI2gBP4KS80rFa+6Nm+wM7htrPddZ66fE4x0NJCQU4wDkWnKDocQQtoESuCvIMYY/ryRhqGbL6KorAquAv022fuuw9fWwPzBnQAAm/59gKKySiVHRAghykcJ/BWTV1yOD367iYV/30FJRTV62hlh19Qebbb3Xefd3h3hYKqLvJIKbAtPVHY4hBCidJTAXyHn7mXDf9NFnInLhoYaB4sCXHFwlg86GOkoO7SX0lDj4ouhrgCA3ZeTkF74VMkREUKIcrXeXpGk1ZRVViNTWIbMwqfIePbfuEwR/onNAgB0stDDxnGecLfiKzlS2bzR2QK97Y1xLSkf607dx6bxXsoOiRBClIYSeDuSX1KBNzZcQF5JRaNlZrxmj8/8XaClodaKkckHh8PBV8M7Y+RPl3EkOgPT+9mjm42hssMihBCloATejhhqa0D0bICXtoYarAy1YGWoDUu+Fiz52hjQyQzetkZKjrJlPDrwMdrLGqG30rH6xD388UEfcDht+/49IYQoAiXwdoTL5eDkx/1hps8DX1uj3Sa2z/xdcCImE9eT83H6bjYCugiUHRIhhLQ6GsTWzjhb6MNQR7PdJm8AsDLUxoz+9gCAtafuo5IWdyGEvIJUJoGvXr0affv2hY6ODgwNDeu9npeXh4CAAFhZWYHH48HGxgZBQUEQiUQtqvf27duYMGECbGxsoK2tDTc3N2zevFmiTHh4ODgcTr3H/fv3W9Jk0oTZvo4w1tVE0pMS/HXjsbLDIYSQVqcyCbyiogJjx47FnDlzGnydy+UiMDAQR48exYMHDxASEoKzZ89i9uzZLar35s2bMDMzw++//467d+/iyy+/xOLFi/HTTz/VKxsfH4/MzEzxw9nZWfaGEqnoa2ngw4FOAIBNZx/gaUW1kiMihJDWxWEqtsVTSEgI5s+fj8LCwpeW3bJlC9atW4e0tJcvvylLvR9++CHu3buH8+fPA6jtgQ8cOBAFBQUN9uKlIRKJwOfzIRQKYWBg0Kw6XjXlVdV4ff0FpBc+xcIAF8z1c1J2SIQQ0mLS5gOV6YHLKiMjA6GhofD19ZV73UKhEMbGxvWOe3l5wdLSEoMGDUJYWFiTdZSXl0MkEkk8iGx46mpY8EbtEqvbwhNRWNr49DlCCGlv2l0CnzBhAnR0dGBtbQ0DAwPs2rVLrvVHRETgzz//xAcffCA+ZmlpiV9++QWHDh1CaGgoXFxcMGjQIFy8eLHRetasWQM+ny9+2NjYyDXOV8UoL2u4WOijqKyKllglhLxSlJrAV6xY0eDgr+cfN27ckKnOjRs3IioqCkeOHEFiYiIWLFggt3jv3r2LwMBALFu2DG+88Yb4uIuLC2bOnInu3bvDx8cHW7duxfDhw7F+/fpG61q8eDGEQqH4Ic1lflKfGpeDhQEuAICQK8nIFNISq4SQV4NS54EHBQVh/PjxTZaxs7OTqU6BQACBQABXV1eYmJigf//+WLp0KSwtW7bbVlxcHF5//XXMnDkTX3311UvL9+nTB7///nujr/N4PPB4vBbFRGq97mqOnnZGiEwuwKZ/H2LtmK7KDokQQhROqQnc1NQUpqamCqu/bnxeeXl5i+q5e/cuXn/9dUydOhWrV6+W6j23bt1q8ZcGIh0Oh4Mvhrri7W0R+OtmGmYOsIeTub6ywyKEEIVSmZXYUlNTkZ+fj9TUVFRXVyM6OhoA4OTkBD09PZw8eRLZ2dno2bMn9PT0EBcXh4ULF6Jfv37iXvz169cxZcoUnDt3DtbW1lLVe/fuXQwcOBBDhgzBggULkJVVuyGImpoazMzMAACbNm2CnZ0d3N3dUVFRgd9//x2HDh3CoUOHWvUzepV52xpjsJsFzt7LxrrT8dgxuYeyQyKEEIWSKYEzxnDhwgVcunQJycnJKC0thZmZGby8vDB48GCFDsRatmwZ9u7dK37u5VW7E1VYWBj8/Pygra2NnTt34pNPPkF5eTlsbGwwevRofPHFF+L3lJaWIj4+HpWVlVLX+9dffyE3Nxf79u3Dvn37xOVsbW2RnJwMoHYu+WeffYb09HRoa2vD3d0dJ06cwLBhwxTyWZCGLQxwwfn72Th9NxtRqQXo3lG1130nhJCmSDUP/OnTp9i4cSO2bt2KvLw8dOvWDdbW1tDW1kZ+fj5iY2ORkZGBIUOGYNmyZejTp09rxN6u0Dxw+fj8r9v46+ZjdLLQw5EP+0FHU2UuMhFCCADp84FU/7p16tQJvXv3xvbt2+Hv7w8NDY16ZVJSUrB//36MGzcOX331FWbOnNn86AlppoUBrrjwIBcPsouxODQGm8Z5tut14Qkhry6peuCxsbHo0qWLVBVWVFQgJSWFlhGVEfXA5ScyOR/jf7mK6hqGbwLdMdnHTtkhEUKI1OS6Epu0yRsANDU1KXkTpeppZ4zFQ10BAF8fj8Ot1AIlR0QIIfLX7BuEpaWlSE1NRUWF5PKVXbvSHFyifO+/Zo+o1AKcjMnC3H1ROP7RazDRo3n3hJD2Q+YEnpubi+nTp+Off/5p8PXqatoViigfh8PB2re74n5mER49KcG8g9HY+14vqHHpfjghpH2QeSnV+fPno6CgAFevXoW2tjZOnTqFvXv3wtnZGUePHlVEjIQ0i76WBrZN8oa2hhouJzzBprMPlB0SIYTIjcwJ/Pz589i4cSN69uwJLpcLW1tbTJo0Cd9//z3WrFmjiBgJaTYXgT7WjPYAAPx4PgHn72crOSJCCJEPmRN4SUkJzM3NAQDGxsbIzc0FAHh4eCAqKkq+0REiB6O8rDHFxxYAsODP20gvpA1PCCGqT+YE7uLigvj4eACAp6cnduzYgfT0dGzfvp3W/iZt1pfD3dC1Ax+FpZX4aH8UKqtrlB0SIYS0SLPugWdmZgIAli9fjlOnTqFjx47YsmULvv32W7kHSIg88NTV8NOE7tDXUkdUaiHWnY5XdkiEENIiUi3k0pTS0lLcv38fHTt2VOjOYu0dLeTSOk7FZmH27zcBALum9MDgzhZKjogQQiTJdSGXpujo6KB79+6UvIlKCOgiwPR+dgCAT/+6jccFpcoNiBBCmknqeeALFiyQqtyGDRuaHQwhrWHxUDdEpRTg9mMhgvbfwp8f+EBTvcXfZQkhpFVJncBv3bol8fzy5cvw9vaGtra2+BhtGkFUgaY6Fz+92x3Dt1xCdFohvj91H1+N6KzssAghRCbNvgeur6+P27dvw8HBQd4xvZLoHnjrO3M3C7N+q70fvn9Gb/R1ottAhBDla7V74ISoqiHuAkzs3REAsOX8QyVHQwghsqEETl5pHw50gjqXg6uP8hGdVqjscAghRGqUwMkrzcpQG4Ge1gCA7eGJSo6GEEKkJ/Ugtjt37kg8Z4zh/v37KC4uljhO24kSVTPb1wGHoh7jdFwWEnOL4Wimp+yQCCHkpaRO4J6enuBwOHh+zNuIESMAQHycw+HQdqJE5Thb6GOwmznO3svBzouP8N3b9CWUENL2SZ3Ak5KSFBkHIUo1x88RZ+/lIDQqHZ+80QkWBlrKDokQQpok9T1wW1tbqR6Ksnr1avTt2xc6OjowNDSs93peXh4CAgJgZWUFHo8HGxsbBAUFQSQStaheoPYKw4uP7du3S5SJiYmBr68vtLW1YW1tja+//hotXKWWtCJvW2P0tDNCRXUN9lymL6uEkLZPqgSempoqU6Xp6enNCqYpFRUVGDt2LObMmdPg61wuF4GBgTh69CgePHiAkJAQnD17FrNnz25RvXWCg4ORmZkpfkydOlX8mkgkwhtvvAErKytERkbixx9/xPr162lVOhUz29cRALDvWiqETyuVHA0hhLwEk4K5uTmbMWMGu3btWqNlCgsL2S+//MLc3d3Zli1bpKm2WYKDgxmfz5eq7ObNm1mHDh1aXC8Advjw4Ubfu3XrVsbn81lZWZn42Jo1a5iVlRWrqalp8D1lZWVMKBSKH2lpaQwAEwqFUsVL5K+6uoa9sSGc2S46zn4Oe6jscAghryihUChVPpCqB37v3j3w+XwEBATAwsICw4cPx8yZM/HRRx9h0qRJ6N69O8zNzRESEoJ169bho48+UuiXDmlkZGQgNDQUvr6+cqkvKCgIpqam6NmzJ7Zv346amv/fTzoiIgK+vr7g8XjiY/7+/sjIyEBycnKD9a1ZswZ8Pl/8sLGxkUucpPm4XA4+GFDbC99zORlllTQgkxDSdkmVwI2NjbF+/XpkZGRg27Zt6NSpE548eYKHD2tXr5o4cSJu3ryJ//77D0OHDlVowC8zYcIE6OjowNraGgYGBti1a1eL6/zmm2/w119/4ezZsxg/fjw+/fRTib3Ps7KyYGEhuS1l3fOsrKwG61y8eDGEQqH4kZaW1uI4Scu96WkFK74WnhSXIzRK/reCCCFEXqQehQ4AWlpaGD16NEaPHi2Xk69YsQIrV65sskxkZCR69OghdZ0bN27E8uXLER8fjyVLlmDBggXYunVri+L86quvxP/v6ekJAPj6668ljr+4kQt7NoCtsQ1eeDyeRI+dtA0aaly8398B3xyPwy8XEzGupw3UuLRJDyGk7ZEpgctbUFAQxo8f32QZOzs7meoUCAQQCARwdXWFiYkJ+vfvj6VLl8LS0rIFkUrq06cPRCIRsrOzYWFhAYFAUK+nnZOTAwD1euak7Rvf0wY/nn+I5LxSnL6bhWEe8vvdIYQQeVFqAjc1NYWpqeJ2gKrrBZeXl8u13lu3bkFLS0s87czHxwdLlixBRUUFNDU1AQBnzpyBlZWVzF9AiPLp8tQxuY8tfjyfgF8uPsLQLgLaKpcQ0uaozFroqampiI6ORmpqKqqrqxEdHY3o6GjxUq4nT55EcHAwYmNjkZycjJMnT2LOnDno16+fOIlev34drq6uEtPcXlbvsWPHsHPnTsTGxiIxMRG7du3Cl19+iVmzZokvgb/77rvg8XiYNm0aYmNjcfjwYXz77bdYsGAB/cOvoqb42EFTjYvotELcTClQdjiEEFJfq4yJl4OpU6cyAPUeYWFhjDHGzp8/z3x8fBifz2daWlrM2dmZLVq0iBUUFIjrCAsLYwBYUlKS1PX+888/zNPTk+np6TEdHR3WpUsXtmnTJlZZWSkR3507d1j//v0Zj8djAoGArVixotEpZA2RdtoAaT2L/r7NbBcdZ7N+jVR2KISQV4i0+YDDmGzLhZWUlEBXV1eOXyEIIP0G7qT1JOQUYfCGi+BwgPOf+sHelH7vCSGKJ20+kPkSuoWFBd577z1cvny5RQES0tY5metjkKs5GAN2X36k7HAIIUSCzAn8wIEDEAqFGDRoEDp16oTvvvsOGRkZioiNEKWb0d8BAPDXjcfIK5bvYEhCCGkJmRP4yJEjcejQIWRkZGDOnDk4cOAAbG1tMWLECISGhqKqqkoRcRKiFH0cjOFhzUd5VQ1+vyrbngCEEKJIzR6FbmJigk8++QS3b9/Ghg0bcPbsWYwZMwZWVlZYtmwZSktL5RknIUrB4XAwc0BtL/zXCFpelRDSdjQ7gWdlZeH777+Hm5sbvvjiC4wZMwbnzp3Dxo0bcfjwYYwaNUqOYRKiPMO6CGBtqI28kgocvkXLqxJC2gaZF3IJDQ1FcHAwTp8+jc6dO+PDDz/EpEmTJPbS9vT0hJeXlzzjJERp1NW4eO81e3xzPA47Lz3CuB424NLyqoQQJZO5Bz59+nRYWVnhv//+Q3R0NIKCgiSSNwA4ODjgyy+/lFeMhCjduJ420NdSx6PcEpy/n6PscAghBDLPAy8tLYWOjo6i4nll0Tzwtm/NP/ew48Ij9LI3xp8f+Cg7HEJIO6WweeBVVVUQiUT1HkVFRaioqGhR0IS0ZdP72kNDjYPrSfm4lylSdjiEkFeczAnc0NAQRkZG9R6GhobQ1taGra0tli9fjpqaGkXES4jSCPhaGOxWu7vcoZuPlRwNICqrxNVHecgSlkHGC2mEkHZA5kFsISEh+PLLLzFt2jT06tULjDFERkZi7969+Oqrr5Cbm4v169eDx+NhyZIlioiZEKUZ490B/8Rm4Uh0OhYNdYWGmnL2Awq7n4PP/76DJ88WlzHV00RnKz7crQzQxYoPz46GsDbUVkpshJDWIXMC37t3L3744Qe888474mNvvvkmPDw8sGPHDpw7dw4dO3bE6tWrKYGTdmdAJzOY6mniSXEFLsTnYnDn1t3vvaS8CqtP3sP+a7WLyhjqaED0tBJPiitw8UEuLj7IFZf1tjXCW17WGNHVEoY6mq0aJyFE8WQexKajo4Pbt2/D2dlZ4vjDhw/RrVs3lJaWIikpCe7u7rSYiwxoEJvqWHU8DrsuJ2FoFwG2TfJutfPeTCnAgj+jkZJX+3f1Xj97LAxwAWPA/SwR7mbUPYSITRei5tlftqYaFwNdzfCWVwcMdDUDT12t1WImhMhO2nwgcw+8Q4cO2L17N7777juJ47t374aNjQ0AIC8vD0ZGRrJWTYhKeNu7A3ZdTsLZe9koKKmAka5ie7eV1TXYfPYhtoYnoIYBVnwtrB/bDX2dTMVlvDoawavj///NZYvK8L/odIRGpeN+VhFO383G6bvZ6Gisg4Oz+sCKLq8TovJkTuDr16/H2LFj8c8//6Bnz57gcDiIjIzE/fv38ffffwMAIiMjMW7cOLkHS0hb4GZpgC7WBohNF+Ho7QxM7Wun0PMtP3pXfMn8LS9rrHjTHXxtjSbfY2GghVkDHDFrgCPuZYpw+FY6QqMeIzW/FNOCr+Ov2X1fWgchpG2T+RI6AKSkpGD79u2Ij48HYwyurq744IMPYGdnp4AQXw10CV21BP+XhJXH4uBhzcexj15T2Hkik/MxdnsEAGDzeE8Eelo3u670wqcYvfU/ZIvK0dveGL++34supxPSBkmbD2RK4JWVlRgyZAh27NiBTp06ySVQUosSuGrJL6lA72/PorKa4fT8AXAR6Mv9HBVVNRjx4yU8yC7G+J42+O7tri2uMy5DhHd2RKC4vAojulpiy3gvWhaWkDZGIQu5aGhoIDY2FhwO/cGTV5uxriZedzUHAByKUsyc8J2XHuFBdjFMdDXxxVBXudTZ2coAOyZ7Q0ONg+N3MrHmn3tyqZcQ0vpknsQ6ZcoU7N69WxGxEKJSxnjXDtoMjUpHVbV8Fy5KzSvFlnMPAQBfjXCT6zSwfk6mWDemGwBg56Uk7LmcJLe6CSGtR+ZBbBUVFdi1axf+/fdf9OjRA7q6uhKvb9iwQW7BEdKW+bmYwURXE0+Ky3HxYS5ed5XPnHDGGL76XyzKq2rQz8kEo1pw37sxo7yskSksw9pT9/HNiThYGGhheFdLuZ+HEKI4MvfAY2Nj0b17dxgYGODBgwe4deuW+BEdHa2AEGutXr0affv2hY6OTr3dz4DaqWsBAQGwsrICj8eDjY0NgoKCIBI1vWb1y+oNCQkBh8Np8JGTU7srVXh4eIOv379/Xx5NJ22UhhpXPKjsbzkurXr8TiYuPsiFphoX3wR2Udgtq9m+DpjiYwvGgE//ikbSkxKFnIcQohgy98DDwsIUEcdLVVRUYOzYsfDx8WnwEj6Xy0VgYCBWrVoFMzMzJCQk4MMPP0R+fj7279/f7HrHjRuHgIAAiWPTpk1DWVkZzM3NJY7Hx8dLDDgwMzOTtZlExYzx7oA9/yXhbFwOCksrWnypW/i0El8fjwMAfDjQCQ5mevIIs0EcDgfLR7ojIacYVxLz8Omf0fhrdl+o0aA2Qpolr7gcYfG5GOPdoVXOJ3MCr5OQkIDExEQMGDAA2traYIwpdHDbypUrAdT2iBtiZGSEOXPmiJ/b2tpi7ty5WLduXYvq1dbWhrb2/y96kZubi/PnzzeY7M3NzRvsxZP2q7OVATpbGiAuU4RjtzMw2ceuRfWtO30fuUXlcDDTxWw/B/kE2QQ1LgfrxnaD/8aLiEotxM5LjzDb11Hh5yWkvRGVVWJq8HXEposgelqJ916zV/g5Zb6EnpeXh0GDBqFTp04YNmwYMjMzAQAzZszAp59+KvcAmysjIwOhoaHw9fWVa72//vordHR0MGbMmHqveXl5wdLSEoMGDXrplYry8vJ6W7IS1VT3bfuPG2moqWn+rmBRqQXY92zBltWjPFptjra1oTaWjewMANhw5gHis4pa5byEtBdlldWYsfcGYtNFMNHVhK9L61x9lTmBf/LJJ9DQ0EBqaip0dHTEx8eNG4dTp07JNbjmmDBhAnR0dGBtbQ0DAwPs2rVLrvXv2bMH7777rkSv3NLSEr/88gsOHTqE0NBQuLi4YNCgQbh48WKj9axZswZ8Pl/8qFuGlqieQE8r8NS5iE0XYduFxGbVUVZZjc//ug3GgLe7d4CPo4mco2zaWO8OGOxmjorqGiz4MxqVch5VT0h7VVldg7n7onA9KR/6PHXsfa8XHBV46+t5MifwM2fOYO3atejQQfIav7OzM1JSUmSqa8WKFY0OEKt73LhxQ6Y6N27ciKioKBw5cgSJiYlYsGCBTO9vSkREBOLi4vD+++9LHHdxccHMmTPRvXt3+Pj4YOvWrRg+fDjWr1/faF2LFy+GUCgUP9LS0uQWJ2ldJno8fB3oDgD44Uw8Lj98InMdG/99gMTcEpjp87B0hJu8Q3wpDoeDb0d7wFBHA3czRPjpfEKrx0CIqqmpYfjsr9s4fz8HPHUudk/riS7W/FY7v8z3wEtKSiR63nWePHkCHo8nU11BQUEYP358k2VkXZ5VIBBAIBDA1dUVJiYm6N+/P5YuXQpLy5ZPkdm1axc8PT3h7f3yHaj69OmD33//vdHXeTyezJ8XabvG9eyIqJRC/HEjDR8fvIXjH70m9YYhN1MKsPPSIwDAmrc8lLb1p7m+FlaN6oKg/bfwU1gCBrmZo2sHQ6XEQkhbxxjDsqOx+F90BtS5HGyf5I1e9satGoPMPfABAwbg119/FT/ncDioqanBunXrMHDgQJnqMjU1haura5MPLS0tWUMUq1sltry8vNl11CkuLsaff/5Zr/fdmFu3bsnlSwNRHSsD3eFuZYD8kgrM2ReF8qrql76n7tJ5DQNGd7du9f3FXzSiqxVGdLVEdQ3Dgj9vo6zy5W0g5FX0w5kH+P1qKjgcYMM4Twx0NX/5m+RM5h74unXr4Ofnhxs3bqCiogILFy7E3bt3kZ+fj//++08RMQIAUlNTkZ+fj9TUVFRXV4vnnDs5OUFPTw8nT55EdnY2evbsCT09PcTFxWHhwoXo16+fuBd//fp1TJkyBefOnYO1tbVU9db5448/UFVVhYkTJ9aLbdOmTbCzs4O7uzsqKirw+++/49ChQzh06JDCPg/S9mhpqGH7JG+M+PEybqcV4pvjcVg1yqPJ9/xwJh6PnpTAwoCH5SPcWynSpn0T2AXXkvKRkFOMDf8+wJJhrX9Jn5C27I/IVPwUVnub6ZvALnizm5VyAmHNkJmZyZYtW8aGDx/Ohg4dyr788kuWkZHRnKqkNnXqVAag3iMsLIwxxtj58+eZj48P4/P5TEtLizk7O7NFixaxgoICcR1hYWEMAEtKSpK63jo+Pj7s3XffbTC2tWvXMkdHR6alpcWMjIzYa6+9xk6cOCFT+4RCIQPAhEKhTO8jbc/5e9nM7ovjzHbRcXboZlqj5SKT8sTlzt3LasUIX+5sXBazXXScOS4+wZJyi5UdTrvztKKKHbudzmIeFyo7FCKj8spq1nv1WWa76Djb+G+8Qs4hbT5o1naiRP5oN7L2ZcO/D7Dl3ENoaXCxb0ZvdO9oJLFOwtOKagzbcglJT0owxrsD1o/tpsRoGzYt+DrC43Mxoqslfnq3u7LDaRfySyrwW0QKfruajCfFFeCpc/H7jN7oade6905J84VGPcaCP2/DTJ+Hy4sGKmS6p7T5oFkLuRQWFuL69evIyclBTY3kdJMpU6Y0p0pC2pV5g5wRnVaIiw9y8fa2CBjqaMDDmo+uHfjwsDbE5YRcJD0pgcBAC0tHdFZ2uA1a6O+KCw9ycfxOJmYNKKQBbS3wKLcYuy8n4VDUY5RV1v6bqanORXlVDd4LicSfH/jAzZK+uLd1jDH8crF2wOm0vnattlZDY2TugR87dgwTJ05ESUkJ9PX1JXoVHA4H+fn5cg/yVUA98PanoKQCn/wZjSsJeahoZF518PSeGOjS+oNfpLXgj2iE3kpHX0cT7JvRm7YSllF+SQWW/S8WJ2IyUfcvrYc1HzP62+N1V3NMD47EjZQCmOvzcGhOX9gY15/hQ9qOiw9yMWXPdehoqiHii0Hg62go5DzS5gOZE3jdCmzffvttg9PJSPNQAm+/KqpqEJ9VhNuPCxHzWIjbjwuRkFOMSX1sseLNtjFwrTGPC0rx+voLqKiuwd73esG3E63vL63LD59gwZ/RyCmqnQUzyNUcMwc4oLe9sfiLkLC0EuN+icD9rCLYmujg79l9YaZP00vbqsm7r+HSwyeY3s8Oy0cq7m9XYQlcV1cXMTExcHBQ/DrNrxJK4K8WpuC9A+Rp1fE47LqcBDdLA5z46DVwabOTJlVU1eCHM/HY8exSq5O5HjaN82x0gY9sURne3nYFjwueorOlAQ5+0AcGWorp2ZHmu5shxPAtl6HG5SD8Mz+FXi2RNh/IPA/c399f5tXRCCGSVCV5A7W7ounz1HEvU4SjtzOUHU6b9ii3GKO3/SdO3hN7d8SxoNeaXJ3LwkALv73fG6Z6mojLFGHm3hs0/74N2nUpCQAwzMOyzdzqkHkQ2/Dhw/H5558jLi4OHh4e0NCQ/Kb45ptvyi04QojyGelqYrafI9adjsf6M/EY6iFQ+uCdtqa6huHA9VSsPnEPTyurYaijgbVvd4W/u0Cq99ub6iJkei+M/+UqriXl4+vjcfj2rabXECCtJ6PwKY49+/I6s7/idxmTlsyX0LncxjvtHA4H1dX0zbE56BI6acueVlTDb30YskXlWDqiM95vha0SVcWN5HysOHYXsem1Owr6OJhg4zhPCPiyryJ5Ni4bM369AQMtddxaNoT2Zm8jvj15D79cfIQ+DsY4OMtH4edT2CX0mpqaRh+UvAlpn7Q11fDJ4E4AgJ/OP4SorFLJESlflrAM8w/ewpjtEYhNF0Gfp46lIzrj9xm9m5W8AcDPxQz6WuoQlVUhNl0o54hJc4jKKrH/2Ta/HwxwVHI0kmRO4ISQV9MY7w5wNNNFQWklfrnwSNnhKE15VTV+DkvA6z+E40h0BjgcYFwPG4R97of3X7NvUa9ZXY0LH4farWQvJ8i+qx2Rv4PXU1FcXgVnc702NwtD6gQ+bNgwCIX//41w9erVKCwsFD/Py8tD585tc0EKQkjLqatx8bm/KwBg75XkV64XXlZZjV8jkuG3LhzrTsejtKIa3Tsa4uiHr2HtmK4w1ZPP9K9+TqYAgCuJlMCVraKqBnsuJwMAZvZ3aHMzMKRO4KdPn5bY1Wvt2rUSi7ZUVVUhPj5evtERQtqUIZ0t4Gyuh6LyKuy7mqrscFpFWWU1Qv5Lgt+6cCz7311kCssgMNDCxnHdcGhOX3h0kO/+z3UJPDK5gEajK9nJmExkicpgps9DoJeSNixpgtSj0F8c60ZLqBPy6uFyOZjt64hP/7qN3ZeTML2fHbQ02ueI9Nyichy7nYHtFxLFi7FY8rUw188RY3vYKKzdjma6sDDgIVtUjpspBeKETlrf4VvpAGqnA7bFmRfNWgudEPLqetPTCj+ciUeGsAyHoh5jYm9bZYfUYmWV1YhNFyI6rRC30goRnVqI9MKn4tetDbUxx88RY3t0UPg/5BwOB/2cTBEalY7LCU8ogStJYWkF/ns2DmGksrYLfQmpEziHw6m3+IQqLUZBCJEPDTUuZg5wwMpjcdhx4RHG9bCBuppqjocVPq3EprMPsO9qar316jkcwMVCH1N87DDGuwM01Vuvjf0caxP4FRrIpjRn7majqobBVaAPRzM9ZYfTIJkuoU+bNg08Xu1AjbKyMsyePRu6uroAIHF/nBDSvo3raYMt5x4iNb8U/8RmtdkeSmNqahj+upmG70/FI6+kAgBgqseDp40hvDoawtPGEF078KGvpCVN63rdd9KFEJZWKmzTDNK4EzGZAIARXS2VHEnjpE7gU6dOlXg+adKkemVoK1FCXg06muqY1tceG88+wPYLiRjR1VJlrshFpxVi+f9icftx7awaRzNdLB/pjv7Opm2mDQK+FhzNdJGYW4KIR3kI6CLdim5EPp6/fD7Mox0k8ODgYEXGQQhRMVN8bLHjYiLuZohw6eETDGhjc2Rf9LSiGsuPxuLPG48BAHo8dcwb5Iypfe1a9fK4tF5zMkVibgn+S3hCCbyV1V0+d7M0gEMbvXwO0EIuhJBmMtLVxIReHQEA28ITlRzNy60+GSdO3m9374Dzn/li5gCHNpm8AaDvs8vo/9F88FZ3/Nnl8+EebfuLU9v8zSWEqIQZ/e2hocZBxKM83EotUHY4jbqZUoB9z5bD3DOtB354pxvM9Zu33Glr6eNgAi4HeJRbgkzh05e/gchFQUmFePBgW758DlACJ4S0gCVfG6M8rQEA2y+0zV54ZXUNloTGgDFgrHcHvO5qoeyQpMLX1oBHB0MAwH8JecoN5hVyJi5LJS6fA5TACSEt9IGvAzgc4PTdbCTkFCk7nHp+ufgI8dlFMNbVxJJhbsoORyavOdWui07TyVrPiZgsAG179HkdlUngq1evRt++faGjowNDQ8N6r+fl5SEgIABWVlbg8XiwsbFBUFAQRCJRo3UmJyfj/fffh729PbS1teHo6Ijly5ejoqJColxMTAx8fX2hra0Na2trfP311/VWojt06BA6d+4MHo+Hzp074/Dhw3JpNyFtnZO5PoZ0ru3V7rqUpORoJKXklWDLuYcAgKUj3GCkq6nkiGTTz7H2PvjlhCe0+mUrKChRjdHndVQmgVdUVGDs2LGYM2dOg69zuVwEBgbi6NGjePDgAUJCQnD27FnMnj270Trv37+Pmpoa7NixA3fv3sXGjRuxfft2LFmyRFxGJBLhjTfegJWVFSIjI/Hjjz9i/fr12LBhg7hMREQExo0bh8mTJ+P27duYPHky3nnnHVy7dk1+HwAhbdj7rzkAAP4XnQHh07axyQljDF8ejkV5VQ36O5uKL/Wrku62RuCpc5FTVI7E3GJlh9PunYnLQnUNQ2dLA9ib6io7nJdjKiY4OJjx+Xypym7evJl16NBBpvq///57Zm9vL36+detWxufzWVlZmfjYmjVrmJWVFaupqWGMMfbOO++wgIAAiXr8/f3Z+PHjpT6vUChkAJhQKJQpXkLagpqaGjZkwwVmu+g423P5kbLDYYwxduhmGrNddJx1+vIkS35SrOxwmm3izqvMdtFxFtxGPtf2bNKu2s/6p/MPlRqHtPlAZXrgssrIyEBoaCh8fX1lep9QKISxsbH4eUREBHx9fcUr0AGAv78/MjIykJycLC4zZMgQiXr8/f1x5cqVRs9TXl4OkUgk8SBEVXE4HEzqUzul7PerKUq/3JtfUoFVJ+4BAD4e5AxbExXoTTWin3g6GQ1kU6SCkgpcefYZD1eBy+eACl1Cl9aECROgo6MDa2trGBgYYNeuXVK/NzExET/++KPEZfesrCxYWEiOWq17npWV1WSZutcbsmbNGvD5fPHDxsZG6jgJaYtGeVlDV1NNvHqYMn178h7ySyrgYqGPWQMclBpLS/V7NpDtamIeql5Yr53Iz+m7tZfP3a0MYKcKl8+h5AS+YsUK8SYpjT1u3LghU50bN25EVFQUjhw5gsTERCxYsECq92VkZCAgIABjx47FjBkzJF57cXnFut7F88cbKtPUsoyLFy+GUCgUP9LS0qSKk5C2Sl9LA6O8au8zK3Ov8Ntphfj75mNwOMC3oz2goaIbrdRxt+KDr62BovIqxKQLlR1Ou1W39rkqDF6ro9TtRIOCgjB+/Pgmy9jZ2clUp0AggEAggKurK0xMTNC/f38sXboUlpaN/1AyMjIwcOBA+Pj44JdffqlX34s96ZycHAD/3xNvrMyLvfLn8Xg8icvyhLQHk/rYYt+1VJy+m4UcURnMDVp/sZTfrqYAAEZ5WsPb1qjVzy9valwOfBxMcOpuFv5LeAKvjqrfprYmXwUvnwNK7oGbmprC1dW1yYeWVvP/AajrKTe1U1p6ejr8/PzQvXt3BAcHg8uV/Eh8fHxw8eJFiallZ86cgZWVlfjLhY+PD/7991+J9505cwZ9+/ZtduyEqCI3SwP0sDVCVQ3DwcjWv6okfFqJ43cyAEB8T749eM259j74hQe5So6kffonNlPlLp8DKnQPPDU1FdHR0UhNTUV1dTWio6MRHR2N4uLaqRUnT55EcHAwYmNjkZycjJMnT2LOnDno16+fONFev34drq6uSE9PB1Db8/bz84ONjQ3Wr1+P3NxcZGVlSfSm3333XfB4PEybNg2xsbE4fPgwvv32WyxYsEB8iXzevHk4c+YM1q5di/v372Pt2rU4e/Ys5s+f36qfESFtwWQfWwDA/muprX7P9n/R6SirrEEnCz10b0c91YGu5gBql4QtKKl4SWkiq0M3a9fIV7mphq0wIl4upk6dygDUe4SFhTHGGDt//jzz8fFhfD6faWlpMWdnZ7Zo0SJWUFAgriMsLIwBYElJSYyx2ilpDdX54sdy584d1r9/f8bj8ZhAIGArVqwQTyGr89dffzEXFxemoaHBXF1d2aFDh2RqH00jI+1FWWUV6/71GWa76Dj7Jyaz1c5bU1PD/De2rals8hSw6SKzXXScHbqZpuxQ2pWEnCJmu+g4c1h8gmWLnio7HMaY9PmAwxgt79MWiEQi8Pl8CIVCGBgYKDscQlpk7an72BaeiP7Opvjt/d6tcs5bqQV4a+sV8NS5uLZkEAx1VGvVtZf54Uw8fjyfgOEelvh5Yndlh1MPYwyZwjKY6fNUauDg96fuY2t4Iga5mmP3tJ7KDgeA9PlAdT5lQojKeLdXR3A4wKWHT5D0pKRVznnweu099+Eelu0ueQPAILfaQbEXHuSioqptTCerrmG49igP3xyPw4B1Yej73Xl88ke0ssOSWnUNQ2hU7S3VMd4dlByN7CiBE0LkzsZYBwNdau/b7ns2KlyRisoqcfR27eC1Cb3bz+C153W15sNUj4fi8ipcT8pXaiyXHuZi4d+30XP1WYz75Sp2X05CWn7tlqfH72QiVkWmu11JfIIsURn42hp43c1c2eHIjBI4IUQhJvepHcz2183HKKusVui5/hedgaeV1XAy10OPdjB1rCFcLgevu5oBAM7ey1ZKDMXlVVjwZzQm776OP288Rn5JBfjaGhjd3RrbJ3lj+LMdvOo2kGnr/n42eC3Q0wo8dTUlRyM7pc4DJ4S0XwM6maGDkTYeFzzF0dsZeKeHYlYbZIxh/7XahWMm9OrY5AJKqm6QmwX+vPEY5+5nY/nIzq3a1pjHQnx88BaSnpSAywHG9+qIER6W6GlvLL7n7WSui5MxmTgTl424DBE6W7Xd8Tyiskqciq2dcaSKl88B6oETQhREjcvBxN61vfDfIhS3PnpMuhBxmSJoqnMx2kvFpgHJqL+zKTTVuUjLf4qHOa2zO1lNDcOuS48wett/SHpSAiu+Fv74wAffvuWBvk6mEgPWnMz1xQuh/Hi+bffCT9zJRHlV7ZRDD2u+ssNpFkrghBCFGdfTBprqXMSkCxGdVqiQcxy4Xtv7HtZFoHL7fctKR1MdfR1r10ZvjcvoT4rL8d7eSKw6cQ+V1Qz+7hY4Oa8/etoZN/qejwc5AwD+ic1CfFaRwmNsrrrL529376CyV20ogRNCFMZYVxMju1oBAH6NkP9gtuLyKvwv+tngtV7tc/Dai+pGo5+7l6PQ86TmlWLElssIj88FT52LVaO6YPsk75eO8O9koY9hHgIAwJY22gtPelKCmykF4HKAt1T4qg0lcEKIQk15tjLbiTuZeFLc+LLGzXE0OgOlFdVwMNNFL/vGe4XtyaBnq7JFpRYgX0GrsmWLyjBx91VkicrgYKaLo0GvYVIfW6l7qh+9XtsLPxmTiYfZba8XXrfymm8nM6Ws1y8vlMAJIQrVzcYQ3WwMUVFdgz/kvD563eXzd9v54LXnWRlqw83SAIwBYffl3wsvLK3A5N3XkJb/FB2NdXBwZh+4CPRlqsPN0gD+7hZgDPjxfILcY2yJ6hqGQ1HPLp+r6OC1OpTACSEKN+XZlLJ9V1Pktj76zZQCxKQLoanGxejuqv0PsawGP5uzfO6+fO+Dl5RXYVpwJB5kF8Ncn4d9M3o3u4dady/82J0MJLTSgDtpRCTmIVNYBgMtdQx2a3zHSFVACZwQonDDu1rCWFcTGcIynJNTr3FbeG3PbpSXFYzb+eC1F9XdB7/44IncVmUrr6rGB7/dRHRaIQx1NPD7jN6wMdZpdn3uVnwMdqvthW8Nazu98Lre95ueVtDSUL2538+jBE4IUTgtDTWM61k7D/zXiOQW13c/S4Sz93LA4QCzfR1bXJ+q6WrNh5l+7aps15LyWlxfVXUN5h2IxuWEJ9DRVEPwtJ7oZCHbZfOGzHvWCz8Snd5qS+o2paisEv/EZgIAxngrZl2C1kQJnBDSKib27gguB/gvIQ8JOS0b2LQtPBEAMKyLJRzM9OQRnkrhcjl4/dlStS0djV5VXYNFh2Jw6m4WNNW42DmlB7zktBWrRwc+Xnc1Rw0DQv5LkkudLXHsdibKKmvgaKaLbh1Uc+738yiBE0JaRQcjHbzuWnvp97cWTClLySvBsWfrns/xe/V633UGPbsPfvZedrMXyXlaUY3Zv0fhUNRjcDnAlgle6OdkKs8wMf7ZlZfLCU/kWm9z/BFZO+hxfM/2MeiREjghpNVM7Vs7mO1QVDqKy6uaVceOi49Qw2qnAHVR0RW05OG1Z6uyPS54igfZsg8SKyipwMRdV3H2XjY01bnYOtEbAV0Eco+zt70JOBwgMbcEOUVlcq9fWnEZItx+LISGGgdvdVfdud/PowROCGk1/RxN4WCqi+LyKhx+NphIFtmiMvx9o/Z9Hw50knd4KuX5Vdk+/SsaUakFUr/3cUEpxmy/gqjUQhhoqWPfjN4KSd4AwNfRQGfL2jXRrz5S3i5qf96oncL4RmcLmOrxlBaHPFECJ4S0Gi6Xg8nPFnb5tRnro+++nISK6hr0sDV6ZRZuacpcPyfo8dQRmy7C6K1X8Mkf0cgSNt3LvZcpwtvbriAxtwSWfC38Padvk0ujykMfh9ovGlcftXzAXXOUVVYj9NkXxnE928+KfZTACSGt6m3vDtDRVMPDnGLsf7YQizQKSyvw+7O9xV/13nedXvbGOP+ZL8Y+W5Dk8K10vP5DOH4OS0BZZTUYY8grLkfMYyFOxWbhl4uJeGd7BLJF5ehkoYfQuX3lMtr8ZZSdwE/fzYKorArWhtp4Tc73+JWJthMlhLQqAy0NzOjvgC3nHuLLw7HgcjhSrWO+90oKSiuq4WZpAD8Xs1aIVDWY62th3dhumNTHFiuP3UVUaiHWnY7HjguJKK+qQXkD88R72Rlj55Qe4OtotEqMveyMweEAj3JLkCMqa/XlS+tW7Hunhw3UuKo/eK0O9cAJIa3uk8HOmNbXDgCwODRGvJ93Y0rKqxB8pXYa0lw/x3YxgljeutkY4tCcvtg83hMCAy2IyqrEydtcnwdPG0MM8xDgsyGd8Ov7vVoteQMv3AdPat374ElPSnD1UT44HGBsj/a1Yh/1wAkhrY7D4WD5yM7gcIDg/5Kx5HAMahjDpGdLrr7owPVUFJZWws5EB8Oe7TdN6uNwOAj0tMaQzgLczxLBRJcHCz4PPHXlrzjm42CCuxkiRCTm4c1uVq123rrBa76dzGBlqN1q520NKtMDX716Nfr27QsdHR0YGhrWez0vLw8BAQGwsrICj8eDjY0NgoKCIBKJGq0zOTkZ77//Puzt7aGtrQ1HR0csX74cFRX/v8NPeHg4AgMDYWlpCV1dXXh6emLfvn0S9YSEhIDD4dR7lJUpb8oEIW0dh8PBshGd8f5r9gCAr47E4rfnVmnLLSrHnzfS8MFvN7DudDyA2lXX2tMlUEXR1lSDV0cjdDTRaRPJG/j/++DXWvE+eGV1jXjf77r56O2JyvTAKyoqMHbsWPj4+GD37t31XudyuQgMDMSqVatgZmaGhIQEfPjhh8jPz8f+/fsbrPP+/fuoqanBjh074OTkhNjYWMycORMlJSVYv349AODKlSvo2rUrFi1aBAsLC5w4cQJTpkyBgYEBRo4cKa7LwMAA8fHxEvVraanuNnWEtAYOh4OvhruBywF2XkrC0v/dRUy6EA+yi3H7cSGeH6TubWvUbubvvop62j+7D/6kBNmiMli0wn3wsPs5yC0qh6mepngRofaEw5q7hI+ShISEYP78+SgsLHxp2S1btmDdunVIS5N+C8N169Zh27ZtePToUaNlhg8fDgsLC+zZs0fmmOqUl5ejvPz/90YWiUSwsbGBUCiEgYGB1PUQ0h4wxvDdP/ex46Lk313XZ0txDnazgLuVAd37VnEjfryE2HQRNo/3RKCn4r+MvR8SiXP3c/DBAAcsHuam8PPJi0gkAp/Pf2k+UJkeuKwyMjIQGhoKX19fmd4nFAphbNz0nEihUAg3N8lfhuLiYtja2qK6uhqenp745ptv4OXl1Wgda9aswcqVK2WKjZD2isPh4IuhrjDW1cSdx0L0dzbFQFfzVumlkdbTx94EsekiXH2Up/AEnil8irD42nXix7XDy+eACt0Dl9aECROgo6MDa2trGBgYYNeuXVK/NzExET/++CNmz57daJm///4bkZGRmD59uviYq6srQkJCcPToURw4cABaWlro168fHj582Gg9ixcvhlAoFD9kuUpASHvE4XDwga8jfp7YHeN7daTk3Q75ONbNB1f8SPS/bzxGDaudK99eN7xRagJfsWJFg4O/nn/cuHFDpjo3btyIqKgoHDlyBImJiViwYIFU78vIyEBAQADGjh2LGTNmNFgmPDwc06ZNw86dO+Hu7i4+3qdPH0yaNAndunVD//798eeff6JTp0748ccfGz0fj8eDgYGBxIMQQtqzHnbG4HJqp3a9bMW4lqipYfjj2ejz9jh4rY5SL6EHBQVh/PjxTZaxs7OTqU6BQACBQABXV1eYmJigf//+WLp0KSwtG596kpGRgYEDB8LHxwe//PJLg2UuXLiAkSNHYsOGDZgyZUqTMXC5XPTs2bPJHjghhLxq+NoacLfiIyZdiGtJiruMfjwmE48LnsJASx1Du7TfaYdKTeCmpqYwNVXcsnZ14/OeHyz2ovT0dAwcOBDe3t4IDg4Gl1v/okR4eDhGjBiBtWvXYtasWVKdNzo6Gh4eHs0PnhBC2qE+DsaISRcq7D54VXUNNp19AACY0d8B2pptYxqdIqjMILbU1FTk5+cjNTUV1dXViI6OBgA4OTlBT08PJ0+eRHZ2Nnr27Ak9PT3ExcVh4cKF6Nevn7gXf/36dUyZMgXnzp2DtbU1MjIy4Ofnh44dO2L9+vXIzc0Vn08gqN2ZJzw8HMOHD8e8efPw9ttvIysrCwCgqakpHuy2cuVK9OnTB87OzhCJRNiyZQuio6Px888/t94HRAghKqCPgwl2XkpCRKJi5oMfic7Ao9wSGOpoYHo/O4Wco61QmQS+bNky7N27V/y8boR3WFgY/Pz8oK2tjZ07d+KTTz5BeXk5bGxsMHr0aHzxxRfi95SWliI+Ph6VlZUAgDNnziAhIQEJCQno0EFyib263ntISAhKS0uxZs0arFmzRvy6r68vwsPDAQCFhYWYNWsWsrKywOfz4eXlhYsXL6JXr14K+SwIIURV9bSvvQ+enFeKTOFTWPLltzpaZXUNNp+r7X3P9nWEvlbrLRerDCo3D7y9knbeHyGEqLo3f7qMO4+F2DTOE6O85HcZff+1VCw5HANTPU1cXDgQOpoq00eVIG0+aHfTyAghhLRtithetLyqGj+drx04PNfPSWWTtywogRNCCGlVfRxqxw9FyDGBH7yehgxhGQQGWni398u3p20PKIETQghpVXXzwVPySpFR+LTF9T2tqMZPYQkAgKDXnaCl0X5Hnj+PEjghhJBWZaClgS7WfADAFTmMRv/9agpyi8rRwUgb7/Rovwu3vIgSOCGEkFbn18kMALDnchJqapo/lrq4vArbLiQCAD4e5AxN9Vcnrb06LSWEENJmTO9nD32eOuIyRTgek9nsevZeSUZ+SQXsTXUxWo4j2lUBJXBCCCGtzkhXEzMHOAAAfjgTj8rqGpnreJBdhG3htb3v+YOdoa72aqW0V6u1hBBC2oz3X7OHia4mUvJK8ecN2XZkzC0qx/TgSBSXV6G3vTFGdLVSUJRtFyVwQgghSqHLU8dHrzsBADaffYinFdVSva+sshqzfruB9MKnsDfVxfZJ3lDjchQZaptECZwQQojSTOjdEdaG2sgpKkfIleSXlq+pYfjsr9u4lVoIvrYGdk/tASNdTcUH2gZRAieEEKI0PHU1LHijEwBgW3gChKWVTZbfdPYBjt/JhDqXg+2TvOFgptcaYbZJlMAJIYQo1Sgva3Sy0IOorAo7LiY2Wi406jG2nK9dsOXb0R7wcTRprRDbJErghBBClEqNy8Hn/q4AgD3/JSFHVCbxenlVNf6JycQXh2IA1O409iot2NKY9r/aOyGEkDZvsJs5unc0RFRqITafe4hJfWzxX8ITXHr4BNeT8vG0snaAW4C7AAv9XZQcbdtA24m2EbSdKCHkVXf1UR7G/3K1wddM9Xjwd7fAV8M7Q1uzfa91Lm0+oB44IYSQNqGPgwkGu1ng7L1saGuooZe9Mfo7m+I1Z1O4WOiDw3n1poo1hRI4IYSQNuOnd72QkFMMZws98NTbd0+7pSiBE0IIaTO0NNTEO5WRptEodEIIIUQFUQInhBBCVJDKJPDVq1ejb9++0NHRgaGhYb3X8/LyEBAQACsrK/B4PNjY2CAoKAgikajROpOTk/H+++/D3t4e2tracHR0xPLly1FRUSFRhsPh1HucOnVKoq4LFy7A29sbWlpacHBwwPbt2+XWdkIIIeRFKnMPvKKiAmPHjoWPjw92795d73Uul4vAwECsWrUKZmZmSEhIwIcffoj8/Hzs37+/wTrv37+Pmpoa7NixA05OToiNjcXMmTNRUlKC9evXS5Q9e/Ys3N3dxc+NjY3F/5+UlIRhw4Zh5syZ+P333/Hff/9h7ty5MDMzw9tvvy2nT4AQQgj5fyo3DzwkJATz589HYWHhS8tu2bIF69atQ1qa9NvUrVu3Dtu2bcOjR48A1PbA7e3tcevWLXh6ejb4nkWLFuHo0aO4d++e+Njs2bNx+/ZtRERESHVemgdOCCEEkD4fqMwldFllZGQgNDQUvr6+Mr1PKBRK9K7rvPnmmzA3N0e/fv3w999/S7wWERGBIUOGSBzz9/fHjRs3UFnZ8ML85eXlEIlEEg9CCCFEWu0ugU+YMAE6OjqwtraGgYEBdu3aJfV7ExMT8eOPP2L27NniY3p6etiwYQP+/vtvnDx5EoMGDcK4cePw+++/i8tkZWXBwsJCoi4LCwtUVVXhyZMnDZ5rzZo14PP54oeNDa3rSwghRHpKvQe+YsUKrFy5sskykZGR6NGjh9R1bty4EcuXL0d8fDyWLFmCBQsWYOvWrS99X0ZGBgICAjB27FjMmDFDfNzU1BSffPKJ+HmPHj1QUFCA77//HpMmTRIff3GFoLo7E42tHLR48WIsWLBA/FwoFKJjx47UEyeEkFdcXR542R1upSbwoKAgjB8/vskydnZ2MtUpEAggEAjg6uoKExMT9O/fH0uXLoWlpWWj78nIyMDAgQPh4+ODX3755aXn6NOnj0TPXiAQICsrS6JMTk4O1NXVYWLS8HZ3PB4PPB5P/LzuB0Y9cUIIIQBQVFQEPr/xRW2UmsBNTU1hamqqsPrrvr2Ul5c3WiY9PR0DBw6Et7c3goODweW+/K7CrVu3JL4Q+Pj44NixYxJlzpw5gx49ekBDQ0OqWK2srJCWlgZ9/Zat9ysSiWBjY4O0tLR2PxjuVWnrq9JOgNraXr0qbZVXOxljKCoqgpWVVZPlVGYaWWpqKvLz85Gamorq6mpER0cDAJycnKCnp4eTJ08iOzsbPXv2hJ6eHuLi4rBw4UL069dP3Iu/fv06pkyZgnPnzsHa2hoZGRnw8/NDx44dsX79euTm5orPJxAIAAB79+6FhoYGvLy8wOVycezYMWzZsgVr164Vl509ezZ++uknLFiwADNnzkRERAR2796NAwcOSN0+LpeLDh06tPyDesbAwKBd/6E871Vp66vSToDa2l69Km2VRzub6nnXUZkEvmzZMuzdu1f83MvLCwAQFhYGPz8/aGtrY+fOnfjkk09QXl4OGxsbjB49Gl988YX4PaWlpYiPjxePDD9z5gwSEhKQkJBQL3k+f+9h1apVSElJgZqaGjp16oQ9e/ZI3P+2t7fHyZMn8cknn+Dnn3+GlZUVtmzZQnPACSGEKIzKzQMnTXuV5pO/Km19VdoJUFvbq1elra3dznY3jexVx+PxsHz5cokBcu3Vq9LWV6WdALW1vXpV2tra7aQeOCGEEKKCqAdOCCGEqCBK4IQQQogKogROCCGEqCBK4IQQQogKogTezmzduhX29vbQ0tKCt7c3Ll26pOyQZLJixQpwOByJR92iOkDt/PwVK1bAysoK2tra8PPzw927dyXqKCgowOTJk8UbxUyePFmq7WcV6eLFixg5ciSsrKzA4XBw5MgRidfl1a6YmBj4+vpCW1sb1tbW+Prrr1+6nrK8vayt06ZNq/cz7tOnj0SZ8vJyfPTRRzA1NYWuri7efPNNPH78WKJMamoqRo4cCV1dXZiamuLjjz9GRUWFopsntmbNGvTs2RP6+vowNzfHqFGjEB8fr5B2XLhwAd7e3tDS0oKDgwO2b9+u8PY9T5q2+vn51fu5vrhUtir8Dm/btg1du3YVL8bi4+ODf/75R/x6m/qZMtJuHDx4kGloaLCdO3eyuLg4Nm/ePKarq8tSUlKUHZrUli9fztzd3VlmZqb4kZOTI379u+++Y/r6+uzQoUMsJiaGjRs3jllaWjKRSCQuExAQwLp06cKuXLnCrly5wrp06cJGjBihjOaInTx5kn355Zfs0KFDDAA7fPiwxOvyaJdQKGQWFhZs/PjxLCYmhh06dIjp6+uz9evXt1YzGWMvb+vUqVNZQECAxM84Ly9Poszs2bOZtbU1+/fff1lUVBQbOHAg69atG6uqqmKMMVZVVcW6dOnCBg4cyKKioti///7LrKysWFBQUGs1k/n7+7Pg4GAWGxvLoqOj2fDhw1nHjh1ZcXGxXNvx6NEjpqOjw+bNm8fi4uLYzp07mYaGBvv777/bVFt9fX3ZzJkzJX6uhYWFEvWowu/w0aNH2YkTJ1h8fDyLj49nS5YsYRoaGiw2NpYx1rZ+ppTA25FevXqx2bNnSxxzdXVlX3zxhZIikt3y5ctZt27dGnytpqaGCQQC9t1334mPlZWVMT6fz7Zv384YYywuLo4BYFevXhWXiYiIYADY/fv3FRq7tF5MavJq19atWxmfz2dlZWXiMmvWrGFWVlaspqZGwa1qWGMJPDAwsNH3FBYWMg0NDXbw4EHxsfT0dMblctmpU6cYY7VfErhcLktPTxeXOXDgAOPxeEwoFMq1DdLKyclhANiFCxcYY/Jrx8KFC5mrq6vEuT744APWp08fRTepUS+2lbHaBD5v3rxG36Oqv8OMMWZkZMR27drV5n6mdAm9naioqMDNmzcxZMgQieNDhgzBlStXlBRV8zx8+BBWVlawt7fH+PHj8ejRIwBAUlISsrKyJNrI4/Hg6+srbmNERAT4fD569+4tLtOnTx/w+fw2+znIq10RERHw9fWVWETC398fGRkZSE5Obp3GSCk8PBzm5ubo1KkTZs6ciZycHPFrN2/eRGVlpcTnYWVlhS5duki0tUuXLhKbPfj7+6O8vBw3b95svYY8RygUAgCMjY0ByK8dERER9f6u/f39cePGDfGy0K3txbbW2bdvH0xNTeHu7o7PPvsMRUVF4tdU8Xe4uroaBw8eRElJCXx8fNrcz5QSeDvx5MkTVFdXw8LCQuK4hYVFva1O27LevXvj119/xenTp7Fz505kZWWhb9++yMvLE7ejqTZmZWXB3Ny8Xr3m5uZt9nOQV7uysrIarOP5c7QFQ4cOxb59+3D+/Hn88MMPiIyMxOuvvy7eNTArKwuampowMjKSeN+Ln8eLbTUyMoKmpqZS2soYw4IFC/Daa6+hS5cu4hjl0Y7Gfq5VVVV48uSJoprUqIbaCgATJ07EgQMHEB4ejqVLl+LQoUMYPXq0+HVV+h2OiYmBnp4eeDweZs+ejcOHD6Nz585t7meqMpuZEOm8uBUpY6xF25O2tqFDh4r/38PDAz4+PnB0dMTevXvFA51e1saG2qsKn4M82tVQHY29V1nGjRsn/v8uXbqgR48esLW1xYkTJyT+wX9RW/45BwUF4c6dO7h8+fJLy6r6z7Wxts6cOVP8/126dIGzszN69OiBqKgodO/eHYDqtNXFxQXR0dEoLCzEoUOHMHXqVFy4cKHR8sr6mVIPvJ0wNTWFmppavW+pOTk59b7pqRJdXV14eHjg4cOH4tHoTbVRIBAgOzu7Xj25ublt9nOQV7sEAkGDdQD1e/dtiaWlJWxtbfHw4UMAte2oqKhAQUGBRLkXP48X21pQUIDKyspWb+tHH32Eo0ePIiwsTGJXQ3m1o7Gfq7q6OkxMTBTRpEY11taGdO/eHRoaGhI/V1X5HdbU1ISTkxN69OiBNWvWoFu3bti8eXOb+5lSAm8nNDU14e3tjX///Vfi+L///ou+ffsqKaqWKy8vx71792BpaQl7e3sIBAKJNlZUVODChQviNvr4+EAoFOL69eviMteuXYNQKGyzn4O82uXj44OLFy9KTFc5c+YMrKysYGdn1zqNaYa8vDykpaXB0tISAODt7Q0NDQ2JzyMzMxOxsbESbY2NjUVmZqa4zJkzZ8Dj8eDt7d0qcTPGEBQUhNDQUJw/fx729vYSr8urHT4+PvX+rs+cOYMePXpAQ0NDUc2T8LK2NuTu3buorKwU/1xV+XeYMYby8vK29zOVacgbadPqppHt3r2bxcXFsfnz5zNdXV2WnJys7NCk9umnn7Lw8HD26NEjdvXqVTZixAimr68vbsN3333H+Hw+Cw0NZTExMWzChAkNTrfq2rUri4iIYBEREczDw0Pp08iKiorYrVu32K1btxgAtmHDBnbr1i3xFD95tKuwsJBZWFiwCRMmsJiYGBYaGsoMDAxafRpZU20tKipin376Kbty5QpLSkpiYWFhzMfHh1lbW0u0dfbs2axDhw7s7NmzLCoqir3++usNTtUZNGgQi4qKYmfPnmUdOnRo1Wlkc+bMYXw+n4WHh0tMnSotLZVrO+qmHH3yyScsLi6O7d69u9Wnkb2srQkJCWzlypUsMjKSJSUlsRMnTjBXV1fm5eUlbitjqvE7vHjxYnbx4kWWlJTE7ty5w5YsWcK4XC47c+YMY6xt/UwpgbczP//8M7O1tWWampqse/fuEtM8VEHd/GcNDQ1mZWXFRo8eze7evSt+vaamhi1fvpwJBALG4/HYgAEDWExMjEQdeXl5bOLEiUxfX5/p6+uziRMnsoKCglZuiaSwsDAGoN5j6tSpjDH5tevOnTusf//+jMfjMYFAwFasWNHq02+aamtpaSkbMmQIMzMzYxoaGqxjx45s6tSpLDU1VaKOp0+fsqCgIGZsbMy0tbXZiBEj6pVJSUlhw4cPZ9ra2szY2JgFBQVJTD9StIbaCIAFBwfLvR3h4eHMy8uLaWpqMjs7O7Zt27bWaKLYy9qamprKBgwYwIyNjZmmpiZzdHRkH3/8cb35/arwO/zee++J/w01MzNjgwYNEidvxtrWz5S2EyWEEEJUEN0DJ4QQQlQQJXBCCCFEBVECJ4QQQlQQJXBCCCFEBVECJ4QQQlQQJXBCCCFEBVECJ4QQQlQQJXBCCCFEBVECJ4Q0y4oVK+Dp6am08y9duhSzZs0SP2eMYdasWTA2NgaHw0F0dHST7//ss8/w8ccfKzhKQhSHVmIjhNTzsi0Np06dip9++gnl5eWtviMWAGRnZ8PZ2Rl37twRb3Lxzz//IDAwEOHh4XBwcICpqSnU1RvfMTknJweOjo64c+eOVJtzENLW0H7ghJB6nt9J6Y8//sCyZcsQHx8vPqatrQ09PT3o6ekpIzzs3r0bPj4+EjtUJSYmwtLSUupd58zNzTFkyBBs374da9euVVCkhCgOXUInhNQjEAjEDz6fDw6HU+/Yi5fQp02bhlGjRuHbb7+FhYUFDA0NsXLlSlRVVeHzzz+HsbExOnTogD179kicKz09HePGjYORkRFMTEwQGBiI5OTkJuM7ePAg3nzzTYlzf/TRR0hNTQWHwxEn9r///hseHh7Q1taGiYkJBg8ejJKSEvH73nzzTRw4cKDFnxchykAJnBAiN+fPn0dGRgYuXryIDRs2YMWKFRgxYgSMjIxw7do1zJ49G7Nnz0ZaWhoAoLS0FAMHDoSenh4uXryIy5cvQ09PDwEBARJ7Qj+voKAAsbGx6NGjh/jY5s2b8fXXX6NDhw7IzMxEZGQkMjMzMWHCBLz33nu4d+8ewsPDMXr0aDx/17BXr15IS0tDSkqKYj8YQhSAEjghRG6MjY2xZcsWuLi44L333oOLiwtKS0uxZMkSODs7Y/HixdDU1MR///0HoLYnzeVysWvXLnh4eMDNzQ3BwcFITU1FeHh4g+dISUkBYwxWVlbiY3w+H/r6+lBTU4NAIICZmRkyMzNRVVWF0aNHw87ODh4eHpg7d67EZX9ra2sAeGmPn5C2iO6BE0Lkxt3dHVzu//cLLCws0KVLF/FzNTU1mJiYICcnBwBw8+ZNJCQkQF9fX6KesrIyJCYmNniOp0+fAgC0tLSajKVbt24YNGgQPDw84O/vjyFDhmDMmDEwMjISl9HW1gZQeyWAEFVDCZwQIjcaGhoSzzkcToPHampqAAA1NTXw9vbGvn376tVlZmbW4DlMTU0B1F5Kb6wMUPtl4d9//8WVK1dw5swZ/Pjjj/jyyy9x7do18ajz/Pz8Js9FSFtGl9AJIUrTvXt3PHz4EObm5nBycpJ48Pn8Bt/j6OgIAwMDxMXFvbR+DoeDfv36YeXKlbh16xY0NTVx+PBh8euxsbHQ0NCAu7u73NpESGuhBE4IUZqJEyfC1NQUgYGBuHTpEpKSknDhwgXMmzcPjx8/bvA9XC4XgwcPxuXLl5us+9q1a/j2229x48YNpKamIjQ0FLm5uXBzcxOXuXTpEvr37y++lE6IKqEETghRGh0dHVy8eBEdO3bE6NGj4ebmhvfeew9Pnz6FgYFBo++bNWsWDh48KL4U3xADAwNcvHgRw4YNQ6dOnfDVV1/hhx9+wNChQ8VlDhw4gJkzZ8q1TYS0FlqJjRCichhj6NOnD+bPn48JEyY0q44TJ07g888/x507d5pcsY2Qtop64IQQlcPhcPDLL7+gqqqq2XWUlJQgODiYkjdRWdQDJ4QQQlQQ9cAJIYQQFUQJnBBCCFFBlMAJIYQQFUQJnBBCCFFBlMAJIYQQFUQJnBBCCFFBlMAJIYQQFUQJnBBCCFFBlMAJIYQQFfR/zbSmulWri4UAAAAASUVORK5CYII=\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_energies(scan_density_job, kinetic_energy=False, potential_energy=False)\n", "plot_density(scan_density_job)" ] }, { "cell_type": "markdown", "id": "9eb789ee-3125-4339-b8fb-c4a17913399e", "metadata": {}, "source": [ "Let's get the molecule where the energy is the lowest:" ] }, { "cell_type": "code", "execution_count": 49, "id": "983143ac-fb88-4598-8714-a77239a3159f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Extracting frame 53\n", "At MD-time: 2600.0 fs\n", "Density: 1145.9 kg/m^3\n" ] } ], "source": [ "history_index = scan_density_job.results.get_lowest_energy_index(\"TotalEnergy\", \"MDHistory\")\n", "lowest_energy_molecule = scan_density_job.results.get_history_molecule(history_index)\n", "lowest_energy_time = scan_density_job.results.get_property_at_step(history_index, \"Time\", \"MDHistory\")\n", "print(f\"Extracting frame {history_index}\")\n", "print(f\"At MD-time: {lowest_energy_time:.1f} fs\")\n", "print(f\"Density: {lowest_energy_molecule.get_density():.1f} kg/m^3\")" ] }, { "cell_type": "code", "execution_count": 50, "id": "6cae2e2c-4cb1-4e0a-8f21-69e250f59710", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[16.12|14:01:32] JOB nvt_equilibration STARTED\n", "[16.12|14:01:32] JOB nvt_equilibration RUNNING\n", "[16.12|14:01:52] JOB nvt_equilibration FINISHED\n", "[16.12|14:01:52] JOB nvt_equilibration SUCCESSFUL\n" ] } ], "source": [ "# step 4 : short NVT equilibration at new density\n", "\n", "nvt_equilibration_job = AMSNVTJob(\n", " molecule=lowest_energy_molecule,\n", " name=\"nvt_equilibration\",\n", " settings=reaxff_s,\n", " nsteps=3000,\n", " timestep=0.5,\n", " temperature=300,\n", ")\n", "nvt_equilibration_job.run();" ] }, { "cell_type": "code", "execution_count": 51, "id": "705472ac-0bfb-4e47-a0e2-172ec211cd2c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[16.12|14:01:52] JOB npt_equilibration STARTED\n", "[16.12|14:01:52] JOB npt_equilibration RUNNING\n", "[16.12|14:02:49] JOB npt_equilibration FINISHED\n", "[16.12|14:02:49] JOB npt_equilibration SUCCESSFUL\n" ] } ], "source": [ "# step 5 : long NPT equilibration\n", "\n", "npt_equilibration = AMSNPTJob.restart_from(\n", " nvt_equilibration_job,\n", " name=\"npt_equilibration\",\n", " nsteps=10000, # should be much longer!\n", " temperature=300,\n", " thermostat=\"NHC\",\n", " tau=100,\n", " barostat=\"MTK\",\n", " equal=\"XYZ\",\n", " pressure=1e5,\n", " barostat_tau=1000,\n", ")\n", "\n", "npt_equilibration.run();" ] }, { "cell_type": "code", "execution_count": 52, "id": "5ee390b3-4d36-4451-9097-c0418ddcb37a", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_density(npt_equilibration)" ] }, { "cell_type": "markdown", "id": "8f8ec40d-2b19-44d5-8c4c-15598fda2cf2", "metadata": {}, "source": [ "Let's get the equilibrated molecule (**note**: the above simulation was not long enough, there was no proper equilibration! The simulation should have run for longer)." ] }, { "cell_type": "code", "execution_count": 53, "id": "954162d3-ba73-4466-a9d6-4dbc1e3f9758", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Density: 995.76 kg/m^3\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "equilibrated_box = npt_equilibration.results.get_equilibrated_molecule()\n", "print(\"Density: {:.2f} kg/m^3\".format(equilibrated_box.get_density()))\n", "equilibrated_box.write(\"water_equilibrated_box.xyz\")\n", "show(equilibrated_box)" ] }, { "cell_type": "markdown", "id": "2903af4e-5844-4090-ae82-f43ed17d3cbf", "metadata": {}, "source": [ "## Diffusion coefficient supercell dependence\n", "\n", "Because of finite-size effects, \n", "the calculated diffusion coefficient depends on the supercell size.\n", "\n", "The below lines set up Lennard-Jones Argon simulations at a density of 1.0 g/mL and a temperature of 400 K for varying supercell sizes. The calculated diffusion coefficients (D) are plotted vs the inverse cubic box length (1/L), a linear fit is performed, and the extrapolated diffusion coefficient for \"infinite\" box size is read from the plot where 1/L = 0." ] }, { "cell_type": "code", "execution_count": 54, "id": "9e330643-bc01-4917-83ad-00e73cb1b0de", "metadata": {}, "outputs": [], "source": [ "def get_lennard_jones_settings():\n", " s = Settings()\n", " s.input.lennardjones.eps = 3.785e-4\n", " s.input.lennardjones.rmin = 3.81637\n", " s.input.lennardjones.cutoff = 8.0\n", " s.runscript.nproc = 1 # to run in serial\n", " return s" ] }, { "cell_type": "markdown", "id": "a08ebd97-1e7a-4116-b3a2-dbe6b7b0f555", "metadata": {}, "source": [ "Set up 3 systems with 50, 150, and 450 atoms. They all have the same density." ] }, { "cell_type": "code", "execution_count": 55, "id": "ff4b861b-8e63-4f3d-81db-e5e02ec1dd31", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "50 Ar atoms, density = 1.0 g/cm^3\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "150 Ar atoms, density = 1.0 g/cm^3\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "450 Ar atoms, density = 1.0 g/cm^3\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sizes = [50, 150, 450] # number of atoms\n", "inverted_L_list = [] # inverted cubic box length in angstrom\n", "density = 1.0 # system density in g/cm^3\n", "\n", "Ar = Molecule()\n", "Ar.add_atom(Atom(symbol=\"Ar\", coords=(0, 0, 0))) # a single Ar atom\n", "\n", "boxes = []\n", "\n", "for size in sizes:\n", " mol = packmol(Ar, n_molecules=size, density=density)\n", " mol = preoptimize(mol, settings=get_lennard_jones_settings(), maxiterations=50)\n", " boxes.append(mol)\n", " L = mol.lattice[0][0]\n", " inverted_L_list.append(1.0 / L)\n", " print(f\"{size} Ar atoms, density = {density} g/cm^3\")\n", " show(mol, figsize=(L / 20, L / 20))\n", " plt.show()" ] }, { "cell_type": "markdown", "id": "eb4f6ec6-c378-4a51-9df2-91cb606ce8de", "metadata": {}, "source": [ "For each system, run\n", "\n", "* equilibration job (``eq_job``)\n", "* production job (``prod_job``)\n", "* MSD analysis on the production job (``msd_job``)\n", "\n", "Store the calculated diffusion coefficients in ``D_list``" ] }, { "cell_type": "code", "execution_count": 56, "id": "27c6ac65-b5b9-4643-b29e-b4da458dba24", "metadata": {}, "outputs": [], "source": [ "D_list = [] # diffusion coefficients\n", "temperature = 400\n", "max_correlation_time_fs = 6000\n", "start_time_fit_fs = 3000" ] }, { "cell_type": "code", "execution_count": 57, "id": "897f740f-a1ad-4823-8e47-2f7e3c0e8bd9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[16.12|14:02:53] JOB eq_50 STARTED\n", "[16.12|14:02:53] JOB eq_50 RUNNING\n", "[16.12|14:02:55] JOB eq_50 FINISHED\n", "[16.12|14:02:55] JOB eq_50 SUCCESSFUL\n", "[16.12|14:02:55] JOB prod_50 STARTED\n", "[16.12|14:02:55] JOB prod_50 RUNNING\n", "[16.12|14:03:07] JOB prod_50 FINISHED\n", "[16.12|14:03:07] JOB prod_50 SUCCESSFUL\n", "[16.12|14:03:07] JOB msd_50 STARTED\n", "[16.12|14:03:07] JOB msd_50 RUNNING\n", "[16.12|14:03:07] JOB msd_50 FINISHED\n", "[16.12|14:03:07] JOB msd_50 SUCCESSFUL\n", "[16.12|14:03:07] 50 atoms: D = 2.20e-08 m^2 s^-1\n", "[16.12|14:03:07] JOB eq_150 STARTED\n", "[16.12|14:03:07] JOB eq_150 RUNNING\n", "[16.12|14:03:11] JOB eq_150 FINISHED\n", "[16.12|14:03:11] JOB eq_150 SUCCESSFUL\n", "[16.12|14:03:11] JOB prod_150 STARTED\n", "[16.12|14:03:11] JOB prod_150 RUNNING\n", "[16.12|14:03:38] JOB prod_150 FINISHED\n", "[16.12|14:03:38] JOB prod_150 SUCCESSFUL\n", "[16.12|14:03:38] JOB msd_150 STARTED\n", "[16.12|14:03:38] JOB msd_150 RUNNING\n", "[16.12|14:03:38] JOB msd_150 FINISHED\n", "[16.12|14:03:39] JOB msd_150 SUCCESSFUL\n", "[16.12|14:03:39] 150 atoms: D = 2.38e-08 m^2 s^-1\n", "[16.12|14:03:39] JOB eq_450 STARTED\n", "[16.12|14:03:39] JOB eq_450 RUNNING\n", "[16.12|14:03:50] JOB eq_450 FINISHED\n", "[16.12|14:03:50] JOB eq_450 SUCCESSFUL\n", "[16.12|14:03:50] JOB prod_450 STARTED\n", "[16.12|14:03:50] JOB prod_450 RUNNING\n", "[16.12|14:05:12] JOB prod_450 FINISHED\n", "[16.12|14:05:12] JOB prod_450 SUCCESSFUL\n", "[16.12|14:05:12] JOB msd_450 STARTED\n", "[16.12|14:05:12] JOB msd_450 RUNNING\n", "[16.12|14:05:13] JOB msd_450 FINISHED\n", "[16.12|14:05:14] JOB msd_450 SUCCESSFUL\n", "[16.12|14:05:14] 450 atoms: D = 2.49e-08 m^2 s^-1\n" ] } ], "source": [ "for size, mol in zip(sizes, boxes):\n", " eq_job = AMSNVTJob(\n", " name=f\"eq_{size}\",\n", " settings=get_lennard_jones_settings(),\n", " molecule=mol,\n", " temperature=temperature,\n", " nsteps=10000,\n", " samplingfreq=500,\n", " thermostat=\"Berendsen\",\n", " tau=100,\n", " timestep=1.0,\n", " writebonds=False,\n", " writecharges=False,\n", " writemolecules=False,\n", " writevelocities=False,\n", " )\n", " eq_job.run()\n", "\n", " prod_job = AMSNVTJob.restart_from(\n", " eq_job, name=f\"prod_{size}\", nsteps=60000, samplingfreq=25, temperature=temperature, thermostat=\"NHC\"\n", " )\n", " prod_job.run()\n", "\n", " msd_job = AMSMSDJob(prod_job, name=f\"msd_{size}\", max_correlation_time_fs=max_correlation_time_fs)\n", " msd_job.run()\n", "\n", " D = msd_job.results.get_diffusion_coefficient(start_time_fit_fs=start_time_fit_fs)\n", " D_list.append(D)\n", " log(f\"{size} atoms: D = {D:.2e} m^2 s^-1\")" ] }, { "cell_type": "code", "execution_count": 58, "id": "bd0842cb-f6b8-4551-bd28-3fec251947a4", "metadata": {}, "outputs": [], "source": [ "from scipy.stats import linregress\n", "\n", "\n", "def linear_fit_extrapolate_to_0(x, y):\n", " \"\"\"\n", " linear regression on x and y.\n", " Returns 3-tuple fit_x, fit_y, slope.\n", "\n", " Note: fit_x contains an extra x-value at 0 (the final value). This ensures that the point at 0 is included when plotting.\n", " \"\"\"\n", " result = linregress(x, y)\n", " fit_x = list(x) + [0] # append a 0\n", " fit_x = np.array(fit_x)\n", " fit_y = result.slope * fit_x + result.intercept\n", "\n", " return fit_x, fit_y, result.slope, result.intercept" ] }, { "cell_type": "code", "execution_count": 59, "id": "a6fe62d3-85d1-4d03-bf2b-8e2a16eb0f15", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[16.12|14:05:14] Extrapolated (dilute) D: 2.76e-08 m² s⁻¹\n" ] }, { "data": { "text/plain": [ "Text(0, 0.5, 'Diffusion coefficient D (m² s⁻¹)')" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit_x, fit_y, slope, intercept = linear_fit_extrapolate_to_0(inverted_L_list, D_list)\n", "\n", "plt.figure(figsize=(6, 3))\n", "plt.plot(inverted_L_list, D_list, \".\", label=\"Simulation results\")\n", "plt.plot(fit_x, fit_y, label=\"Linear fit\")\n", "dilute_D = intercept # at 0 inverted box length, what is the diffusion coefficient?\n", "s = f\"Extrapolated (dilute) D: {dilute_D:.2e} m² s⁻¹\"\n", "log(s)\n", "plt.title(s)\n", "plt.legend()\n", "plt.xlabel(\"1/L (Å⁻¹)\")\n", "plt.ylabel(\"Diffusion coefficient D (m² s⁻¹)\");" ] }, { "cell_type": "markdown", "id": "31103012-9a2d-45f7-97af-46cb45f7a345", "metadata": {}, "source": [ "## Diffusion coefficient temperature dependence and running simulations in parallel\n", "\n", "The diffusion coefficient follows an Arrhenius behavior with respect to the temperature. The below lines show how to calculate the prefactor $D_0$ and barrier $\\Delta E$\n", "\n", "$D(T) = D_0 \\exp{\\frac{-\\Delta E}{kT}}$ \n", "\n", "$\\ln D(T) = \\ln D_0 - \\frac{\\Delta E}{k} \\frac{1}{T}$\n", "\n", "where $k = 8.617 \\times 10^{-5}$ eV/K (the Boltzmann constant).\n", "\n", "In this case, let's use an Ar box with 50 atoms, and run at temperatures of 50, 100, 200, and 300 K." ] }, { "cell_type": "code", "execution_count": 60, "id": "1a79d61d-a835-42fc-a4b5-85ba74e7411b", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T_list = [50, 100, 200, 300]\n", "mol = packmol(Ar, n_molecules=50, density=density)\n", "mol = preoptimize(mol, settings=get_lennard_jones_settings(), maxiterations=50)\n", "show(mol)" ] }, { "cell_type": "markdown", "id": "66a4a639-15fe-41ac-ba87-6f8b8ddbd0dd", "metadata": {}, "source": [ "We want to run 4 identical simulations except for the temperature. If you have a machine with multiple cores, you can run them in parallel with a parallel PLAMS ``JobRunner``:" ] }, { "cell_type": "code", "execution_count": 61, "id": "454b5970-2be1-4034-aa59-949e9715ac02", "metadata": {}, "outputs": [], "source": [ "maxjobs = 4\n", "config.default_jobrunner = JobRunner(parallel=True, maxjobs=maxjobs)" ] }, { "cell_type": "markdown", "id": "a3ae2d4c-c3d3-47b3-b6e7-72f9f105b4bd", "metadata": {}, "source": [ "When using a parallel JobRunner in PLAMS, you should avoid accessing the results of previous jobs until absolutely necessary. This is needed to prevent PLAMS from waiting until a job has finished before continuing with the next one.\n", "\n", "In the below loop,\n", "\n", "* ``AMSNVTJob.restart_from`` has the argument ``use_prerun=True`` - this means that the initial molecule and velocities are read inside that job's ``prerun()`` method. Thus, PLAMS can continue in the loop without waiting for ``eq_job`` to finish.\n", "\n", "* The ``msd_jobs`` list is created store the MSD jobs and their results without accessing them. Thus, PLAMS can continue with creating the next equilibration job for the next temperature at the top of the loop, without waiting for the ``msd_job`` to finish\n", "\n", "Only after all the jobs have been run do we access the results of the MSD jobs in the final loop with ``msd_job.results.get_diffusion_coefficient()``" ] }, { "cell_type": "code", "execution_count": 62, "id": "0758b508-f6aa-45ea-b18e-0ab0f6872b09", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[16.12|14:05:15] JOB eq_T_50 STARTED\n", "[16.12|14:05:15] JOB prod_T_50 STARTED\n", "[16.12|14:05:15] JOB eq_T_50 RUNNING\n", "[16.12|14:05:15] Waiting for job eq_T_50 to finish\n", "[16.12|14:05:15] JOB msd_T_50 STARTED\n", "[16.12|14:05:15] JOB eq_T_100 STARTED\n", "[16.12|14:05:15] JOB prod_T_100 STARTED\n", "[16.12|14:05:15] Waiting for job prod_T_50 to finish\n", "[16.12|14:05:15] JOB msd_T_100 STARTED\n", "[16.12|14:05:15] JOB eq_T_100 RUNNING\n", "[16.12|14:05:15] Waiting for job eq_T_100 to finish\n", "[16.12|14:05:15] JOB eq_T_200 STARTED\n", "[16.12|14:05:15] JOB prod_T_200 STARTED\n", "[16.12|14:05:15] Waiting for job prod_T_100 to finish\n", "[16.12|14:05:15] JOB msd_T_200 STARTED\n", "[16.12|14:05:15] JOB eq_T_200 RUNNING\n", "[16.12|14:05:15] JOB eq_T_300 STARTED\n", "[16.12|14:05:15] Waiting for job eq_T_200 to finish\n", "[16.12|14:05:15] Waiting for job prod_T_200 to finish\n", "[16.12|14:05:15] JOB prod_T_300 STARTED\n", "[16.12|14:05:15] JOB msd_T_300 STARTED\n", "[16.12|14:05:15] Waiting for job eq_T_300 to finish\n", "[16.12|14:05:15] Waiting for job msd_T_50 to finish\n", "[16.12|14:05:15] JOB eq_T_300 RUNNING\n", "[16.12|14:05:15] Waiting for job prod_T_300 to finish\n", "[16.12|14:05:16] JOB eq_T_50 FINISHED\n", "[16.12|14:05:16] JOB eq_T_50 SUCCESSFUL\n", "[16.12|14:05:16] JOB prod_T_50 RUNNING\n", "[16.12|14:05:16] JOB eq_T_100 FINISHED\n", "[16.12|14:05:16] JOB eq_T_100 SUCCESSFUL\n", "[16.12|14:05:16] JOB eq_T_200 FINISHED\n", "[16.12|14:05:16] JOB prod_T_100 RUNNING\n", "[16.12|14:05:16] JOB eq_T_200 SUCCESSFUL\n", "[16.12|14:05:16] JOB prod_T_200 RUNNING\n", "[16.12|14:05:16] JOB eq_T_300 FINISHED\n", "[16.12|14:05:16] JOB eq_T_300 SUCCESSFUL\n", "[16.12|14:05:16] JOB prod_T_300 RUNNING\n", "[16.12|14:05:26] JOB prod_T_50 FINISHED\n", "[16.12|14:05:26] JOB prod_T_50 SUCCESSFUL\n", "[16.12|14:05:26] JOB msd_T_50 RUNNING\n", "[16.12|14:05:26] JOB prod_T_100 FINISHED\n", "[16.12|14:05:26] JOB prod_T_100 SUCCESSFUL\n", "[16.12|14:05:26] JOB msd_T_100 RUNNING\n", "[16.12|14:05:26] JOB msd_T_50 FINISHED\n", "[16.12|14:05:26] JOB prod_T_200 FINISHED\n", "[16.12|14:05:27] JOB prod_T_200 SUCCESSFUL\n", "[16.12|14:05:27] JOB msd_T_100 FINISHED\n", "[16.12|14:05:27] JOB msd_T_200 RUNNING\n", "[16.12|14:05:27] JOB prod_T_300 FINISHED\n", "[16.12|14:05:27] JOB prod_T_300 SUCCESSFUL\n", "[16.12|14:05:27] JOB msd_T_300 RUNNING\n", "[16.12|14:05:27] JOB msd_T_200 FINISHED\n", "[16.12|14:05:27] JOB msd_T_50 SUCCESSFUL\n", "[16.12|14:05:27] JOB msd_T_300 FINISHED\n", "[16.12|14:05:27] JOB msd_T_100 SUCCESSFUL\n", "[16.12|14:05:27] Temperature 50 K: D = 1.32e-09 m^2 s^-1\n", "[16.12|14:05:27] Temperature 100 K: D = 6.69e-09 m^2 s^-1\n", "[16.12|14:05:27] Waiting for job msd_T_200 to finish\n", "[16.12|14:05:27] JOB msd_T_200 SUCCESSFUL\n", "[16.12|14:05:27] Temperature 200 K: D = 1.14e-08 m^2 s^-1\n", "[16.12|14:05:27] Waiting for job msd_T_300 to finish\n", "[16.12|14:05:27] JOB msd_T_300 SUCCESSFUL\n", "[16.12|14:05:27] Temperature 300 K: D = 1.77e-08 m^2 s^-1\n" ] } ], "source": [ "msd_jobs = []\n", "DT_list = []\n", "for T in T_list:\n", " eq_job = AMSNVTJob(\n", " name=f\"eq_T_{T}\",\n", " settings=get_lennard_jones_settings(),\n", " molecule=mol,\n", " temperature=T,\n", " nsteps=10000,\n", " samplingfreq=500,\n", " thermostat=\"Berendsen\",\n", " tau=100,\n", " timestep=1.0,\n", " writebonds=False,\n", " writecharges=False,\n", " writemolecules=False,\n", " writevelocities=False,\n", " )\n", " eq_job.run()\n", "\n", " prod_job = AMSNVTJob.restart_from(\n", " eq_job,\n", " name=f\"prod_T_{T}\",\n", " nsteps=50000,\n", " samplingfreq=25,\n", " temperature=T,\n", " thermostat=\"NHC\",\n", " use_prerun=True, # only access the equilibration job results when the production job is about to start\n", " )\n", " prod_job.run()\n", "\n", " msd_job = AMSMSDJob(prod_job, name=f\"msd_T_{T}\", max_correlation_time_fs=max_correlation_time_fs)\n", " msd_job.run()\n", " msd_jobs.append(msd_job) # do not access the msd results yet, wait until all jobs have been started\n", "\n", "# now we can access the results\n", "for T, msd_job in zip(T_list, msd_jobs):\n", " D = msd_job.results.get_diffusion_coefficient(start_time_fit_fs=start_time_fit_fs)\n", " DT_list.append(D)\n", " log(f\"Temperature {T} K: D = {D:.2e} m^2 s^-1\")" ] }, { "cell_type": "code", "execution_count": 63, "id": "e60b1feb-7740-4efc-8240-b2cc397ba514", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[16.12|14:05:27] D0: 2.75e-08 m² s⁻¹. Barrier: 0.013 eV\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# fit a straight line when plotting ln(d) vs. 1/T\n", "inverted_T_list = 1.0 / np.array(T_list)\n", "ln_D_list = np.log(DT_list)\n", "fit_x, fit_y, slope, intercept = linear_fit_extrapolate_to_0(inverted_T_list, ln_D_list)\n", "\n", "D0 = np.exp(intercept)\n", "boltzmann_eV_per_K = 8.617e-5 # eV/K\n", "barrier = -boltzmann_eV_per_K * slope\n", "title = f\"D0: {D0:.2e} m² s⁻¹. Barrier: {barrier:.3f} eV\"\n", "log(title)\n", "\n", "# multiply x-axis by 1000 for friendlier numbers\n", "plt.figure(figsize=(6, 3))\n", "plt.plot(inverted_T_list * 1000, ln_D_list, \".\", label=\"Simulation results\")\n", "plt.plot(fit_x * 1000, fit_y, label=\"Linear fit\")\n", "plt.title(title)\n", "plt.legend()\n", "plt.xlabel(\"1000/T (K⁻¹)\")\n", "plt.ylabel(\"ln D\");" ] } ], "metadata": { "kernelspec": { "display_name": "amspython", "language": "python", "name": "amspython" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 5 }