{ "cells": [ { "cell_type": "markdown", "id": "36375559-84b2-436d-bd05-a1b5752cb411", "metadata": {}, "source": [ "## Initial imports" ] }, { "cell_type": "code", "execution_count": 15, "id": "64d94b5d-7acc-4f34-aa55-863dd7f56d8b", "metadata": {}, "outputs": [], "source": [ "import os\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "from scm.conformers import ConformersJob\n", "from scm.plams import *\n", "\n", "init()" ] }, { "cell_type": "markdown", "id": "1fe3295a-2212-4b14-8766-1fc047f8a251", "metadata": {}, "source": [ "## Initial structure" ] }, { "cell_type": "code", "execution_count": 2, "id": "40c5eb18-987d-47c9-9143-299ec2159632", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "molecule = from_smiles(\"OC(CC1c2ccccc2Sc2ccccc21)CN1CCCC1\")\n", "plot_molecule(molecule)" ] }, { "cell_type": "markdown", "id": "a83a5c3b-e6aa-4e05-a8da-7175e82df437", "metadata": {}, "source": [ "## Generate conformers with RDKit and UFF\n", "The fastest way to generate conformers is to use RDKit with the UFF force field.\n", "\n", "Below we specify to generate 16 initial conformers. The final number of conformers may be smaller, as the geometry optimization may cause several structures to enter the same minimum." ] }, { "cell_type": "markdown", "id": "c61d5f32-e402-43f9-8f90-ef091684b73b", "metadata": {}, "source": [ "### Conformer generation settings" ] }, { "cell_type": "code", "execution_count": 3, "id": "91ae88a7-9523-48a2-91bf-4c1e485e9afa", "metadata": {}, "outputs": [], "source": [ "s = Settings()\n", "s.input.ams.Task = \"Generate\" # default\n", "s.input.ams.Generator.Method = \"RDKit\" # default\n", "s.input.ams.Generator.RDKit.InitialNConformers = 16 # optional, non-default\n", "s.input.ForceField.Type = \"UFF\" # default" ] }, { "cell_type": "markdown", "id": "141d4442-e17d-4c68-8100-850d9d9aab4c", "metadata": {}, "source": [ "### Conformer generation input file" ] }, { "cell_type": "code", "execution_count": 4, "id": "ec50a322-6da3-4de5-95b6-ed1a633fed11", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Generator\n", " Method RDKit\n", " RDKit\n", " InitialNConformers 16\n", " End\n", "End\n", "\n", "Task Generate\n", "\n", "Engine ForceField\n", " Type UFF\n", "EndEngine\n", "\n", "\n" ] } ], "source": [ "print(ConformersJob(settings=s).get_input())" ] }, { "cell_type": "markdown", "id": "4704fd91-1a0c-427b-8058-be389eed4f36", "metadata": {}, "source": [ "### Run conformer generation" ] }, { "cell_type": "code", "execution_count": 5, "id": "ed8cffce-c8a3-41c0-b5ca-16467611b80e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[05.03|08:59:21] JOB generate STARTED\n", "[05.03|08:59:21] JOB generate RUNNING\n", "[05.03|08:59:28] JOB generate FINISHED\n", "[05.03|08:59:28] JOB generate SUCCESSFUL\n" ] } ], "source": [ "generate_job = ConformersJob(name=\"generate\", molecule=molecule, settings=s)\n", "generate_job.run()" ] }, { "cell_type": "markdown", "id": "6ac4a97a-a53c-4942-af7e-296a6ba4ca7e", "metadata": {}, "source": [ "## Conformer generation results" ] }, { "cell_type": "markdown", "id": "461081ff-4b14-4b75-9cb7-ff30f27b2fc3", "metadata": {}, "source": [ "### Some helper functions" ] }, { "cell_type": "code", "execution_count": 6, "id": "bb614874-e15e-490d-bfed-77ae0999243f", "metadata": {}, "outputs": [], "source": [ "def print_results(job: ConformersJob, temperature=298, unit=\"kcal/mol\"):\n", " energies = job.results.get_relative_energies(unit)\n", " populations = job.results.get_boltzmann_distribution(temperature)\n", "\n", " print(f\"Total # conformers in set: {len(energies)}\")\n", " dE_header = f\"ΔE [{unit}]\"\n", " pop_header = f\"Pop. (T = {temperature} K)\"\n", " print(f'{\"#\":>4s} {dE_header:>14s} {pop_header:>18s}')\n", "\n", " for i, (E, pop) in enumerate(zip(energies, populations)):\n", " print(f\"{i+1:4d} {E:14.2f} {pop:18.3f}\")\n", "\n", "\n", "def plot_conformers(job: ConformersJob, indices=None, temperature=298, unit=\"kcal/mol\", lowest=True):\n", " molecules = job.results.get_conformers()\n", " energies = job.results.get_relative_energies(unit)\n", " populations = job.results.get_boltzmann_distribution(temperature)\n", "\n", " if isinstance(indices, int):\n", " N_plot = min(indices, len(energies))\n", " if lowest:\n", " indices = list(range(N_plot))\n", " else:\n", " indices = np.linspace(0, len(energies) - 1, N_plot, dtype=np.int32)\n", " if indices is None:\n", " indices = list(range(min(3, len(energies))))\n", "\n", " fig, axes = plt.subplots(1, len(indices), figsize=(12, 3))\n", " if len(indices) == 1:\n", " axes = [axes]\n", "\n", " for ax, i in zip(axes, indices):\n", " mol = molecules[i]\n", " E = energies[i]\n", " population = populations[i]\n", "\n", " plot_molecule(mol, ax=ax)\n", " ax.set_title(f\"#{i+1}\\nΔE = {E:.2f} kcal/mol\\nPop.: {population:.3f} (T = {temperature} K)\")" ] }, { "cell_type": "markdown", "id": "ff0ff880-d3e3-4c82-af52-4d7976a5163e", "metadata": {}, "source": [ "### Actual results\n", "\n", "Below we see that the **conformer generation gave 14 distinct conformers**, where the highest-energy conformer is 18 kcal/mol higher in energy than the lowest energy conformer.\n", "\n", "You can also see the **relative populations** of these conformers at the specified temperature. The populations are calculated from the **Boltzmann distribution** and the relative energies." ] }, { "cell_type": "code", "execution_count": 7, "id": "7e40564e-e5fb-459b-ae43-e5b6bed2d0e9", "metadata": {}, "outputs": [], "source": [ "unit = \"kcal/mol\"\n", "temperature = 298" ] }, { "cell_type": "code", "execution_count": 8, "id": "7226a6e6-f5a8-43ec-8a3b-a36e9d223e15", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total # conformers in set: 14\n", " # ΔE [kcal/mol] Pop. (T = 298 K)\n", " 1 0.00 0.415\n", " 2 0.30 0.249\n", " 3 0.57 0.160\n", " 4 0.82 0.104\n", " 5 1.50 0.033\n", " 6 1.79 0.020\n", " 7 2.25 0.009\n", " 8 2.30 0.009\n", " 9 3.72 0.001\n", " 10 3.76 0.001\n", " 11 13.99 0.000\n", " 12 15.25 0.000\n", " 13 17.96 0.000\n", " 14 18.20 0.000\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "print_results(generate_job, temperature=temperature, unit=unit)\n", "plot_conformers(generate_job, 4, temperature=temperature, unit=unit, lowest=True) # plot 4 lowest conformers\n", "# plot_conformers(generate_job, 4, temperature=temperature, unit=unit, lowest=False) # plot 4 conformers from lowest to highest\n", "# plot_conformers(generate_job, [0, 2], temperature=temperature, unit=unit) # plot first and third conformers" ] }, { "cell_type": "markdown", "id": "12ea494c-7456-43d6-92f3-91f1a3c76677", "metadata": {}, "source": [ "## Re-optimize conformers with GFNFF\n", "\n", "The UFF force field is not very accurate for geometries and energies. From an initial conformer set you can reoptimize it with a better level of theory.\n", "\n", "The **Optimize** task performs **GeometryOptimization** jobs on each conformer in a set.\n", "\n", "Below, the 10 most stable conformers (within 8 kcal/mol of the most stable conformer) at the UFF level of theory are re-optimized with GFNFF, which gives more accurate geometries." ] }, { "cell_type": "code", "execution_count": 14, "id": "058265d2-c16b-4eb9-b3c0-e0e8a05a2771", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "InputConformersSet /home/hellstrom/temp/conformers/plams/plams_workdir/generate/conformers.rkf\n", "\n", "InputMaxEnergy 8.0\n", "\n", "Task Optimize\n", "\n", "Engine GFNFF\n", "EndEngine\n", "\n", "\n" ] } ], "source": [ "s = Settings()\n", "s.input.ams.Task = \"Optimize\"\n", "s.input.ams.InputConformersSet = os.path.abspath(generate_job.results.rkfpath()) # must be absolute path\n", "s.input.ams.InputMaxEnergy = 8.0 # only conformers within 8 kcal/mol at the PREVIOUS level of theory\n", "s.input.GFNFF # or choose a different engine if you don't have a GFNFF license\n", "\n", "reoptimize_job = ConformersJob(settings=s, name=\"reoptimize\")\n", "print(reoptimize_job.get_input())" ] }, { "cell_type": "code", "execution_count": 10, "id": "f5575f70-4ec4-426f-bcb4-c034bbe4ea82", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[05.03|08:59:28] JOB reoptimize STARTED\n", "[05.03|08:59:28] JOB reoptimize RUNNING\n", "[05.03|08:59:32] JOB reoptimize FINISHED\n", "[05.03|08:59:32] JOB reoptimize SUCCESSFUL\n" ] } ], "source": [ "reoptimize_job.run()" ] }, { "cell_type": "code", "execution_count": 11, "id": "2827ecc5-5d38-4ea3-aebd-e6213cac349f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total # conformers in set: 10\n", " # ΔE [kcal/mol] Pop. (T = 298 K)\n", " 1 0.00 0.339\n", " 2 0.22 0.234\n", " 3 0.26 0.217\n", " 4 1.03 0.059\n", " 5 1.07 0.055\n", " 6 1.24 0.042\n", " 7 1.38 0.033\n", " 8 1.78 0.017\n", " 9 2.72 0.003\n", " 10 4.75 0.000\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "print_results(reoptimize_job, temperature=temperature, unit=unit)\n", "plot_conformers(reoptimize_job, 4, temperature=temperature, unit=unit, lowest=True)" ] }, { "cell_type": "markdown", "id": "85cf1413-638c-47fe-b710-696c7f5db347", "metadata": {}, "source": [ "## Score conformers with DFTB\n", "\n", "If you have many conformers or a very large molecule, it can be computationally expensive to do the conformer generation or reoptimization and a high level of theory.\n", "\n", "The **Score** task runs **SinglePoint** jobs on the conformers in a set. This lets you use a more computationally expensive method. Here, we choose DFTB, although normally you may choose some DFT method." ] }, { "cell_type": "code", "execution_count": 12, "id": "e8335c0f-4c0e-4160-b3fd-c4878cc90744", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[05.03|08:59:32] JOB score STARTED\n", "[05.03|08:59:32] JOB score RUNNING\n", "[05.03|08:59:34] JOB score FINISHED\n", "[05.03|08:59:34] JOB score SUCCESSFUL\n" ] } ], "source": [ "s = Settings()\n", "s.input.ams.Task = \"Score\"\n", "s.input.ams.InputConformersSet = os.path.abspath(reoptimize_job.results.rkfpath()) # must be absolute path\n", "s.input.ams.InputMaxEnergy = 4.0 # only conformers within 4 kcal/mol at the PREVIOUS level of theory\n", "s.input.DFTB.Model = \"GFN1-xTB\" # or choose a different engine if you don't have a DFTB license\n", "# s.input.adf.XC.GGA = 'PBE' # to use ADF PBE\n", "# s.input.adf.XC.DISPERSION = 'GRIMME3 BJDAMP' # to use ADF PBE with Grimme D3(BJ) dispersion\n", "\n", "score_job = ConformersJob(settings=s, name=\"score\")\n", "score_job.run()" ] }, { "cell_type": "code", "execution_count": 13, "id": "dc272e99-d9f8-47d1-bb95-fd8f44d662d2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total # conformers in set: 9\n", " # ΔE [kcal/mol] Pop. (T = 298 K)\n", " 1 0.00 0.230\n", " 2 0.05 0.210\n", " 3 0.07 0.205\n", " 4 0.24 0.153\n", " 5 0.66 0.075\n", " 6 1.00 0.043\n", " 7 1.04 0.040\n", " 8 1.08 0.037\n", " 9 2.01 0.008\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "print_results(score_job, temperature=temperature, unit=unit)\n", "plot_conformers(score_job, 4, temperature=temperature, unit=unit, lowest=True)" ] }, { "cell_type": "markdown", "id": "c4defadf-b1d6-4614-ba97-9259c69ecdd7", "metadata": {}, "source": [ "Here, you see that from the conformers in the set, **DFTB predicts a different lowest-energy conformer than GFNFF** (compare to previous figure)." ] }, { "cell_type": "markdown", "id": "22a3113f-2a6b-43e4-b909-1e0c6d2a03b7", "metadata": {}, "source": [ "## Filter a conformer set\n", "\n", "In practice, you may have generated thousands of conformers for a particular structure. Many of those conformers may be so high in energy that their Boltzmann weights are very small.\n", "\n", "The **Filter** task only filters the conformers, it does not perform any additional calculations. It can be used to reduce a conformer set so that it is more convenient to work with.\n", "\n", "Below, we filter the conformers set to only the conformers within 1 kcal/mol of the minimum." ] }, { "cell_type": "code", "execution_count": 16, "id": "7c103353-1f22-49f4-9219-808338c4808b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[05.03|09:20:16] JOB filter STARTED\n", "[05.03|09:20:16] JOB filter RUNNING\n", "[05.03|09:20:17] JOB filter FINISHED\n", "[05.03|09:20:17] JOB filter SUCCESSFUL\n", "Total # conformers in set: 6\n", " # ΔE [kcal/mol] Pop. (T = 298 K)\n", " 1 0.00 0.251\n", " 2 0.05 0.229\n", " 3 0.07 0.223\n", " 4 0.24 0.167\n", " 5 0.66 0.082\n", " 6 1.00 0.047\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "s = Settings()\n", "s.input.ams.Task = \"Filter\"\n", "s.input.ams.InputConformersSet = os.path.abspath(score_job.results.rkfpath())\n", "s.input.ams.InputMaxEnergy = 1.0\n", "\n", "filter_job = ConformersJob(settings=s, name=\"filter\")\n", "filter_job.run()\n", "print_results(filter_job, temperature=temperature, unit=unit)\n", "plot_conformers(filter_job, 4, temperature=temperature, unit=unit, lowest=True)" ] }, { "cell_type": "markdown", "id": "47074890-f81c-4b13-bb9e-98415bfc0ed7", "metadata": {}, "source": [ "The structures and energies are identical to before. However, the relative populations changed slightly as there are now fewer conformers in the set." ] }, { "cell_type": "markdown", "id": "245ea0b4-654e-4648-bd14-e3fc97fd64da", "metadata": {}, "source": [ "## Finish PLAMS" ] }, { "cell_type": "code", "execution_count": 17, "id": "6f25db35-0f02-4198-b429-c18eb6f23b78", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[05.03|09:34:38] PLAMS run finished. Goodbye\n" ] } ], "source": [ "finish()" ] }, { "cell_type": "markdown", "id": "aa67fb33-abf3-49de-bded-d7c36948c15a", "metadata": {}, "source": [ "## More about conformers\n", "\n", "* Try **CREST** instead of RDKit to generate the initial conformer set\n", "\n", "* The **Expand** task can be used to expand a set of conformers." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.8.12" } }, "nbformat": 4, "nbformat_minor": 5 }