{ "cells": [ { "cell_type": "markdown", "id": "b6817d5d-0866-4a1e-b620-58b29dd920f2", "metadata": {}, "source": [ "## Initial imports" ] }, { "cell_type": "code", "execution_count": 1, "id": "95fad699-c9ea-4c40-a762-694878bdb970", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "PLAMS working folder: /path/plams/examples/AMSPlumedMD/plams_workdir\n" ] } ], "source": [ "from scm.plams import *\n", "import os\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# this line is not required in AMS2025+\n", "init()" ] }, { "cell_type": "markdown", "id": "f288b935-ee12-4c5e-90fc-8b640c124186", "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": "b2cfecd6-bef9-442d-866b-0dda8e650dd3", "metadata": {}, "outputs": [], "source": [ "def get_molecule():\n", " job = AMSJob.from_input(\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", " return job.molecule[\"\"]" ] }, { "cell_type": "code", "execution_count": 3, "id": "aeac8553-5720-4dae-bede-7691c67a6fbd", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mol = get_molecule()\n", "\n", "try:\n", " plot_molecule(mol) # plot Molecule in Jupyter Notebook in AMS2023+\n", "except NameError:\n", " pass # ignore errors in AMS2022-" ] }, { "cell_type": "markdown", "id": "6393bf31-4efb-487c-a241-a7b672aa5429", "metadata": {}, "source": [ "## Calculation settings" ] }, { "cell_type": "code", "execution_count": 4, "id": "8de8893f-b5de-475a-83f5-fc17d0757f54", "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[3].distance_to(mol[6])\n", "target_O3H6 = 0.95\n", "\n", "print(f\"Scanning bond O3-H6 from {current_O3H6:.3f} to {target_O3H6:.3f} angstrom (this will form a water molecule)\")\n", "\n", "current_O1C2 = mol[1].distance_to(mol[2])\n", "\n", "print(f\"Restraining bond O1-C2 at {current_O1C2:.3f} angstrom\")" ] }, { "cell_type": "code", "execution_count": 5, "id": "257c5eaf-0888-4fa3-b599-71b97bfa1a40", "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 1.2661886450379047 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 0.3835929386 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", "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": "0652c85f-9321-4466-a313-60268044552e", "metadata": {}, "source": [ "## Run the job" ] }, { "cell_type": "code", "execution_count": 6, "id": "40b229d3-e333-4663-973a-6f67df894f4c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[10.02|14:24:55] JOB dissociating-carbonic-acid STARTED\n", "[10.02|14:24:55] JOB dissociating-carbonic-acid RUNNING\n", "[10.02|14:24:58] JOB dissociating-carbonic-acid FINISHED\n", "[10.02|14:24:58] JOB dissociating-carbonic-acid SUCCESSFUL\n" ] } ], "source": [ "job.run();" ] }, { "cell_type": "markdown", "id": "2e8594d8-3b36-4c80-9f65-3b18366d4fc9", "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": 7, "id": "79e444a3-47f5-4c59-8d50-0f4df26d1c96", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "trajectory = Trajectory(job.results.rkfpath())\n", "\n", "every = 20 # picture every 20 frames in the trajectory\n", "N_images = np.int_(np.ceil(len(trajectory) / every))\n", "fig, axes = plt.subplots(1, N_images, figsize=(10, 3))\n", "\n", "O3H6_distances = []\n", "i_ax = 0\n", "\n", "for i, mol in enumerate(trajectory, 1):\n", " O3H6_distances.append(mol[3].distance_to(mol[6]))\n", " if i % every == 1:\n", " try:\n", " plot_molecule(mol, ax=axes[i_ax]) # mol is a PLAMS Molecule\n", " axes[i_ax].set_title(f\"frame {i}\")\n", " i_ax += 1\n", " except NameError:\n", " pass" ] }, { "cell_type": "markdown", "id": "851f6e91-07df-4794-ac26-abd6edf991a3", "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": 8, "id": "9573517a-4feb-46d3-97c8-1a47595b10e6", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(O3H6_distances)\n", "plt.ylabel(\"Distance (angstrom)\")\n", "plt.xlabel(\"Frame\")\n", "plt.title(\"O3-H6 distance\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "id": "7aab5297-af13-49a7-9eed-5b4fe789a8be", "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", "plt.plot(energies)\n", "plt.ylabel(\"Energy (hartree)\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "fbaa972a-0fd2-4023-a029-4a6d9c20daca", "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": 10, "id": "ef786376-79a8-4b3a-8d2c-42491381c2d9", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "index = np.argmax(energies) + 1\n", "approximate_ts_molecule = job.results.get_history_molecule(index)\n", "\n", "try:\n", " plot_molecule(approximate_ts_molecule)\n", " plt.title(f\"Using frame {index} as initial approximate transition state\")\n", "except NameError:\n", " pass" ] }, { "cell_type": "code", "execution_count": 11, "id": "8a93a813-0cdd-4f76-837f-7f6ec437e276", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[10.02|14:24:59] JOB ts-search STARTED\n", "[10.02|14:24:59] JOB ts-search RUNNING\n", "[10.02|14:26:08] JOB ts-search FINISHED\n", "[10.02|14:26:08] 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": 12, "id": "34211b45-503d-4d8f-9131-f3a69fa2c825", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "try:\n", " plot_molecule(ts_job.results.get_main_molecule())\n", " plt.title(\"Optimized transition state\")\n", "except NameError:\n", " pass" ] }, { "cell_type": "code", "execution_count": 13, "id": "5bf4d954-f972-439d-8543-0f37cf5cd0b6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Frequencies (at a TS there should be 1 imaginary [given as negative])\n", "-1418.139 cm^-1\n", "319.619 cm^-1\n", "368.881 cm^-1\n", "544.479 cm^-1\n", "702.632 cm^-1\n", "743.002 cm^-1\n", "875.907 cm^-1\n", "1080.859 cm^-1\n", "1124.376 cm^-1\n", "1758.036 cm^-1\n", "2063.370 cm^-1\n", "3471.052 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\")" ] } ], "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 }