{ "cells": [ { "cell_type": "markdown", "id": "59911fbe", "metadata": {}, "source": [ "## Initial imports" ] }, { "cell_type": "code", "execution_count": 1, "id": "09e3909b", "metadata": {}, "outputs": [], "source": [ "from scm.plams import *\n", "from scm.base import ChemicalSystem, RKFTrajectory\n", "import os\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "id": "e049dbc5", "metadata": {}, "source": [ "## Initial system\n", "\n", "Define a Molecule from xyz coordinates and show the molecule.\n", "\n", "* O(3) is the right-most O atom\n", "* H(6) is the left-most H atom" ] }, { "cell_type": "code", "execution_count": 2, "id": "29fe5198", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mol = ChemicalSystem(\n", " \"\"\"\\\n", "System\n", " Atoms\n", " O -0.1009275285 1.5113007791 -0.4061554537 \n", " C 0.0189044656 0.3835929386 0.1570043855\n", " O 1.2796450751 -0.2325516597 0.3936038789\n", " O -1.0798994361 -0.4640886294 0.4005134306\n", " H 1.7530114719 -0.6822230417 -0.3461237499\n", " H -1.8707340481 -0.5160303870 -0.1988424913\n", " End\n", "End\n", "\"\"\"\n", ")\n", "\n", "view(mol, guess_bonds=True, width=200, height=200)" ] }, { "cell_type": "markdown", "id": "b50a36b1", "metadata": {}, "source": [ "## Calculation settings" ] }, { "cell_type": "code", "execution_count": 3, "id": "7a6663db", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Scanning bond O3-H6 from 3.218 to 0.950 angstrom (this will form a water molecule)\n", "Restraining bond O1-C2 at 1.266 angstrom\n" ] } ], "source": [ "current_O3H6 = mol.get_distance(2, 5)\n", "target_O3H6 = 0.95\n", "\n", "print(\n", " f\"Scanning bond O3-H6 from {current_O3H6:.3f} to {target_O3H6:.3f} angstrom (this will form a water molecule)\"\n", ")\n", "\n", "current_O1C2 = mol.get_distance(0, 1)\n", "\n", "print(f\"Restraining bond O1-C2 at {current_O1C2:.3f} angstrom\")" ] }, { "cell_type": "code", "execution_count": 4, "id": "0c6786e2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "EngineAddons\n", " WallPotential\n", " Enabled Yes\n", " Radius 4.0\n", " End\n", "End\n", "\n", "MolecularDynamics\n", " InitialVelocities\n", " Temperature 200\n", " End\n", " NSteps 10000\n", " Plumed\n", " Input \n", " DISTANCE ATOMS=3,6 LABEL=d36\n", " MOVINGRESTRAINT ARG=d36 STEP0=1 AT0=0.32181114819547796 KAPPA0=500000.0 STEP1=10000 AT1=0.095\n", " PRINT ARG=d36 FILE=colvar-d36.dat STRIDE=20\n", " End\n", " End\n", " Thermostat\n", " Tau 100\n", " Temperature 500\n", " Type Berendsen\n", " End\n", " Trajectory\n", " SamplingFreq 100\n", " End\n", "End\n", "\n", "Restraints\n", " Distance 1 2 1.266188645037905 1.0\n", "End\n", "\n", "Task MolecularDynamics\n", "\n", "System\n", " Atoms\n", " O -0.1009275285 1.5113007791 -0.4061554537\n", " C 0.0189044656 0.38359293859999993 0.1570043855\n", " O 1.2796450751 -0.2325516597 0.3936038789\n", " O -1.0798994361 -0.4640886294 0.4005134306\n", " H 1.7530114719 -0.6822230417 -0.3461237499\n", " H -1.8707340481 -0.516030387 -0.1988424913\n", " End\n", "End\n", "\n", "Engine ReaxFF\n", " ForceField CHO.ff\n", "EndEngine\n", "\n", "\n" ] } ], "source": [ "nsteps = 10000 # number of MD steps\n", "kappa = 500000.0 # strength of Plumed MovingRestraint\n", "\n", "s = Settings()\n", "# run in serial\n", "s.runscript.nproc = 1\n", "s.runscript.preamble_lines = [\"export OMP_NUM_THREADS=1\"]\n", "\n", "# engine settings\n", "s.input.ReaxFF.ForceField = \"CHO.ff\" # If you have ReaxFF license\n", "# s.input.MLPotential.Model = 'M3GNet-UP-2022' # if you have ML potential license and M3Gnet installed\n", "# s.input.dftb # if you have a DFTB license\n", "\n", "# MD settings\n", "s.input.ams.Task = \"MolecularDynamics\"\n", "s.input.ams.MolecularDynamics.NSteps = nsteps\n", "s.input.ams.MolecularDynamics.Trajectory.SamplingFreq = 100\n", "s.input.ams.MolecularDynamics.InitialVelocities.Temperature = 200\n", "s.input.ams.MolecularDynamics.Thermostat.Temperature = 500\n", "s.input.ams.MolecularDynamics.Thermostat.Tau = 100\n", "s.input.ams.MolecularDynamics.Thermostat.Type = \"Berendsen\"\n", "\n", "# use an AMS restraint for one of the C-O bond lengths\n", "s.input.ams.Restraints.Distance = []\n", "s.input.ams.Restraints.Distance.append(f\"1 2 {current_O1C2} 1.0\")\n", "\n", "# use an AMS EngineAddon WallPotential to keep the molecules within a sphere of radius 4 angstrom\n", "s.input.ams.EngineAddons.WallPotential.Enabled = \"Yes\"\n", "s.input.ams.EngineAddons.WallPotential.Radius = 4.0\n", "\n", "# Plumed input, note that distances are given in nanometer so multiply by 0.1\n", "s.input.ams.MolecularDynamics.Plumed.Input = f\"\"\"\n", " DISTANCE ATOMS=3,6 LABEL=d36\n", " MOVINGRESTRAINT ARG=d36 STEP0=1 AT0={current_O3H6 * 0.1} KAPPA0={kappa} STEP1={nsteps} AT1={target_O3H6 * 0.1}\n", " PRINT ARG=d36 FILE=colvar-d36.dat STRIDE=20\n", " End\"\"\"\n", "\n", "job = AMSJob(settings=s, molecule=mol, name=\"dissociating-carbonic-acid\")\n", "print(job.get_input())" ] }, { "cell_type": "markdown", "id": "90551a30", "metadata": {}, "source": [ "## Run the job" ] }, { "cell_type": "code", "execution_count": 5, "id": "83360ff1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[08.04|17:36:24] JOB dissociating-carbonic-acid STARTED\n", "[08.04|17:36:24] JOB dissociating-carbonic-acid RUNNING\n", "[08.04|17:36:25] JOB dissociating-carbonic-acid FINISHED\n", "[08.04|17:36:25] JOB dissociating-carbonic-acid SUCCESSFUL\n" ] } ], "source": [ "job.run();" ] }, { "cell_type": "markdown", "id": "c81ea857", "metadata": {}, "source": [ "## Analyze the trajectory\n", "\n", "Extract the O3H6 distances at each stored frame, and plot some of the molecules" ] }, { "cell_type": "code", "execution_count": 6, "id": "f1403cc6", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "trajectory = RKFTrajectory(job.results.rkfpath())\n", "\n", "every = 20 # picture every 20 frames in the trajectory\n", "O3H6_distances = []\n", "\n", "imgs = {}\n", "for i, it in enumerate(trajectory, 1):\n", " O3H6_distances.append(it.system.get_distance(2, 5))\n", " if i % every == 1:\n", " imgs[f\"frame {it.frame_number}\"] = view(it.system, width=200, height=200, guess_bonds=True)\n", "plot_image_grid(imgs, rows=1);" ] }, { "cell_type": "markdown", "id": "c23fb59f", "metadata": {}, "source": [ "The above pictures show how the H(6) approaches the O(3). At the end, the carbonic acid molecule has dissociated into CO2 and H2O." ] }, { "cell_type": "code", "execution_count": 7, "id": "87f86a1b", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(O3H6_distances)\n", "ax.set_ylabel(\"Distance (angstrom)\")\n", "ax.set_xlabel(\"Frame\")\n", "ax.set_title(\"O3-H6 distance\")\n", "ax;" ] }, { "cell_type": "code", "execution_count": 8, "id": "52413972", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "energies = job.results.get_history_property(\"Energy\")\n", "fig, ax = plt.subplots()\n", "ax.plot(energies)\n", "ax.set_ylabel(\"Energy (hartree)\")\n", "ax;" ] }, { "cell_type": "markdown", "id": "891494bf", "metadata": {}, "source": [ "## A transition state search\n", "\n", "PLAMS makes it easy to extract any frame from an MD trajectory. As an example, let's use highest-energy frame as an initial structure for a transition state search with the ADF DFT engine." ] }, { "cell_type": "code", "execution_count": 9, "id": "783ed229", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using frame 82 as initial approximate transition state:\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "index = np.argmax(energies) + 1\n", "approximate_ts_molecule = job.results.get_history_molecule(index)\n", "\n", "print(f\"Using frame {index} as initial approximate transition state:\")\n", "view(approximate_ts_molecule, width=300, height=300, guess_bonds=True)" ] }, { "cell_type": "code", "execution_count": 10, "id": "68832a5c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[08.04|17:36:32] JOB ts-search STARTED\n", "[08.04|17:36:32] JOB ts-search RUNNING\n", "[08.04|17:36:59] JOB ts-search FINISHED\n", "[08.04|17:36:59] JOB ts-search SUCCESSFUL\n" ] } ], "source": [ "ts_s = Settings()\n", "ts_s.input.ams.task = \"TransitionStateSearch\"\n", "ts_s.input.ams.GeometryOptimization.InitialHessian.Type = \"Calculate\"\n", "ts_s.input.ams.Properties.NormalModes = \"Yes\"\n", "ts_s.input.adf.xc.gga = \"PBE\"\n", "ts_job = AMSJob(settings=ts_s, molecule=approximate_ts_molecule, name=\"ts-search\")\n", "ts_job.run();" ] }, { "cell_type": "code", "execution_count": 11, "id": "a51085b8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimized transition state:\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "print(\"Optimized transition state:\")\n", "view(ts_job.results.get_main_system(), width=300, height=300, guess_bonds=True)" ] }, { "cell_type": "code", "execution_count": 12, "id": "c9c50860", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Frequencies (at a TS there should be 1 imaginary [given as negative])\n", "-1434.162 cm^-1\n", "308.754 cm^-1\n", "365.582 cm^-1\n", "546.310 cm^-1\n", "704.049 cm^-1\n", "742.927 cm^-1\n", "877.041 cm^-1\n", "1079.855 cm^-1\n", "1121.610 cm^-1\n", "1759.164 cm^-1\n", "2062.177 cm^-1\n", "3479.995 cm^-1\n" ] } ], "source": [ "print(\"Frequencies (at a TS there should be 1 imaginary [given as negative])\")\n", "\n", "for f in ts_job.results.get_frequencies():\n", " print(f\"{f:.3f} cm^-1\")" ] }, { "cell_type": "code", "execution_count": null, "id": "13bb6149", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.16" } }, "nbformat": 4, "nbformat_minor": 5 }