{ "cells": [ { "cell_type": "markdown", "id": "overview", "metadata": {}, "source": [ "## Predicting Reactivity via Condensed Fukui Functions\n", "\n", "This example uses the AIMNet2-NSE machine learning potential to compare a series of molecules with the common vinyl fragment $\\mathrm{CH_2{=}CH{-}R}$. The substituent $R$ ranges from electron donating to electron withdrawing. This will demonstrate how the terminal vinyl carbon changes from being predominantly nucleophilic to predominantly electrophilic in nature.\n", "\n", "For an atom $A$, the condensed Fukui functions describe its response to adding or removing an electron. $f_A^+$ measures the response to electron addition and is large at electrophilic sites, which accept electron density from nucleophiles. $f_A^-$ measures the response to electron removal and is large at nucleophilic sites, which donate electron density to electrophiles.\n", "\n", "The dual descriptor is $\\Delta f_A=f_A^+-f_A^-$. Positive values indicate predominantly electrophilic character, while negative values indicate predominantly nucleophilic character.\n", "\n", "AIMNet2 evaluates the electron-added and electron-removed states at the optimized neutral geometry. These same calculations provide the vertical electron affinity and ionization energy." ] }, { "cell_type": "code", "execution_count": 1, "id": "imports", "metadata": { "tags": [] }, "outputs": [], "source": [ "from typing import Dict\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "from matplotlib.axes import Axes\n", "from scm.base import ChemicalSystem, Units\n", "from scm.plams import AMSJob, Settings, plot_image_grid, view, view_atomic_property" ] }, { "cell_type": "markdown", "id": "structures-heading", "metadata": {}, "source": [ "### Build the substituted alkenes\n", "\n", "The SMILES strings are written from the terminal vinyl carbon, making it atom 1 in every molecule. Methoxy is a resonance donor, methyl is a weak donor through hyperconjugation, and cyano and formyl are electron-withdrawing groups. Ethene provides the unsubstituted reference." ] }, { "cell_type": "code", "execution_count": 2, "id": "build-structures", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "substituted_alkenes = {\n", " \"Methyl vinyl ether\": {\"smiles\": \"C=COC\", \"group\": r\"$-\\mathrm{OCH_3}$\"},\n", " \"Propene\": {\"smiles\": \"C=CC\", \"group\": r\"$-\\mathrm{CH_3}$\"},\n", " \"Ethene\": {\"smiles\": \"C=C\", \"group\": r\"$-\\mathrm{H}$\"},\n", " \"Acrylonitrile\": {\"smiles\": \"C=CC#N\", \"group\": r\"$-\\mathrm{CN}$\"},\n", " \"Acrolein\": {\"smiles\": \"C=CC=O\", \"group\": r\"$-\\mathrm{CHO}$\"},\n", "}\n", "\n", "molecules = {\n", " name: ChemicalSystem.from_smiles(details[\"smiles\"])\n", " for name, details in substituted_alkenes.items()\n", "}\n", "\n", "plot_image_grid(\n", " {name: view(molecule, direction=\"along_pca3\") for name, molecule in molecules.items()}, rows=1\n", ");" ] }, { "cell_type": "markdown", "id": "settings-heading", "metadata": {}, "source": [ "### Optimize the neutral structures and calculate the descriptors\n", "\n", "When AMS Properties%Other is requested, the condensed Fukui functions are automatically calculated for an aperiodic ML potential that accepts total charge and returns individual atomic charges. This automatic behavior can be controlled with `Fukui%Enabled`. During a geometry optimization, the charged states are evaluated only after optimizing the neutral system. Their geometry is held fixed, so all reported energy differences are vertical." ] }, { "cell_type": "code", "execution_count": 3, "id": "settings", "metadata": { "tags": [] }, "outputs": [], "source": [ "def reactivity_settings() -> Settings:\n", " settings = Settings()\n", " settings.input.ams.Task = \"GeometryOptimization\"\n", " settings.input.MLPotential.Model = \"AIMNet2-NSE\"\n", " settings.runscript.nproc = 1\n", " return settings" ] }, { "cell_type": "code", "execution_count": 4, "id": "run-jobs", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[24.09|12:00:05] JOB methyl_vinyl_ether STARTED\n", "[24.09|12:00:05] JOB methyl_vinyl_ether RUNNING\n", "[24.09|12:00:15] JOB methyl_vinyl_ether FINISHED\n", "[24.09|12:00:15] JOB methyl_vinyl_ether SUCCESSFUL\n", "[24.09|12:00:15] JOB propene STARTED\n", "[24.09|12:00:15] JOB propene RUNNING\n", "[24.09|12:00:24] JOB propene FINISHED\n", "[24.09|12:00:24] JOB propene SUCCESSFUL\n", "[24.09|12:00:24] JOB ethene STARTED\n", "[24.09|12:00:24] JOB ethene RUNNING\n", "[24.09|12:00:33] JOB ethene FINISHED\n", "[24.09|12:00:33] JOB ethene SUCCESSFUL\n", "[24.09|12:00:33] JOB acrylonitrile STARTED\n", "[24.09|12:00:33] JOB acrylonitrile RUNNING\n", "[24.09|12:00:41] JOB acrylonitrile FINISHED\n", "[24.09|12:00:41] JOB acrylonitrile SUCCESSFUL\n", "[24.09|12:00:41] JOB acrolein STARTED\n", "[24.09|12:00:41] JOB acrolein RUNNING\n", "[24.09|12:00:50] JOB acrolein FINISHED\n", "[24.09|12:00:50] JOB acrolein SUCCESSFUL\n" ] } ], "source": [ "jobs = {}\n", "for name, molecule in molecules.items():\n", " job_name = name.lower().replace(\" \", \"_\")\n", " jobs[name] = AMSJob(name=job_name, molecule=molecule, settings=reactivity_settings())\n", " jobs[name].run();" ] }, { "cell_type": "markdown", "id": "read-results-heading", "metadata": {}, "source": [ "### Read and plot descriptor results\n", "\n", "The Fukui arrays are stored in the MLPotential engine results. The helper below accepts a zero-based Python atom index. Thus, index 0 corresponds to atom 1: the terminal $\\mathrm{CH_2}$ carbon in every structure." ] }, { "cell_type": "code", "execution_count": 5, "id": "read-results", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/html": [ "
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Groupf+f-f0Dual
Molecule
Methyl vinyl ether$-\\mathrm{OCH_3}$0.1529740.2380870.195531-0.085113
Propene$-\\mathrm{CH_3}$0.2134570.3039500.258703-0.090492
Ethene$-\\mathrm{H}$0.2385750.2875030.263039-0.048928
Acrylonitrile$-\\mathrm{CN}$0.2671570.2035610.2353590.063596
Acrolein$-\\mathrm{CHO}$0.2512130.0967160.1739650.154497
\n", "
" ], "text/plain": [ " Group f+ f- f0 Dual\n", "Molecule \n", "Methyl vinyl ether $-\\mathrm{OCH_3}$ 0.152974 0.238087 0.195531 -0.085113\n", "Propene $-\\mathrm{CH_3}$ 0.213457 0.303950 0.258703 -0.090492\n", "Ethene $-\\mathrm{H}$ 0.238575 0.287503 0.263039 -0.048928\n", "Acrylonitrile $-\\mathrm{CN}$ 0.267157 0.203561 0.235359 0.063596\n", "Acrolein $-\\mathrm{CHO}$ 0.251213 0.096716 0.173965 0.154497" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def read_reactivity_descriptors(job: AMSJob, atom_index: int) -> Dict[str, float]:\n", " f_plus = np.atleast_1d(job.results.readrkf(\"Properties\", \"Fukui Fplus\", file=\"engine\")).astype(float)\n", " f_minus = np.atleast_1d(job.results.readrkf(\"Properties\", \"Fukui Fminus\", file=\"engine\")).astype(float)\n", " f_plus_atom = float(f_plus[atom_index])\n", " f_minus_atom = float(f_minus[atom_index])\n", "\n", " return {\n", " \"f+\": f_plus_atom,\n", " \"f-\": f_minus_atom,\n", " \"f0\": 0.5 * (f_plus_atom + f_minus_atom),\n", " \"Dual\": f_plus_atom - f_minus_atom,\n", " }\n", "\n", "\n", "rows = []\n", "imgs = {}\n", "for name, job in jobs.items():\n", " row = {\"Molecule\": name, \"Group\": substituted_alkenes[name][\"group\"]}\n", " row.update(read_reactivity_descriptors(job, atom_index=0))\n", " rows.append(row)\n", " imgs[name] = view_atomic_property(\n", " job, \n", " \"dual\", \n", " direction=\"along_pca3\", \n", " width=400, \n", " padding=1, \n", " label_size=1.8, \n", " colorbar_range=(-0.2, 0.2)\n", " )\n", "\n", "df = pd.DataFrame(rows).set_index(\"Molecule\")\n", "df" ] }, { "cell_type": "markdown", "id": "550044ae-cd1f-4bf6-850f-f5ad26c6e995", "metadata": {}, "source": [ "These can be visualized as part of the wider molecule, for example, the panels below show the dual descriptor in each case:" ] }, { "cell_type": "code", "execution_count": 6, "id": "8a35bbd3-a8d7-46b7-a8e5-ded38bfa64df", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_image_grid(imgs, rows=1);" ] }, { "cell_type": "markdown", "id": "fukui-plot-heading", "metadata": {}, "source": [ "### Compare electron addition and removal at the terminal carbon\n", "\n", "Both $f^+$ and $f^-$ can be appreciable at the same atom. So their difference is therefore especially useful for identifying its dominant character. Negative dual-descriptor values identify a terminal carbon with predominantly nucleophilic character; positive values identify predominantly electrophilic character. In particular, compare the resonance-donating methoxy group with the electron-withdrawing cyano and formyl groups." ] }, { "cell_type": "code", "execution_count": 7, "id": "dual-plot", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_terminal_dual_descriptor(frame: pd.DataFrame) -> Axes:\n", " values = frame[\"Dual\"].to_numpy(dtype=float)\n", " colors = np.where(values < 0.0, \"tab:blue\", \"tab:red\")\n", " fig, ax = plt.subplots(figsize=(8, 4))\n", " ax.bar(frame[\"Group\"], values, color=colors)\n", " ax.axhline(0.0, color=\"black\", linewidth=0.8)\n", " ax.set_ylabel(r\"Dual Descriptor $(f^+-f^-)$\")\n", " ax.set_xlabel(r\"$\\mathrm{R}$ Substituent\")\n", " ax.text(0.05, 0.45, \"nucleophilic character\", color=\"tab:blue\", transform=ax.transAxes, va=\"top\")\n", " ax.text(0.84, 0.35, \"electrophilic character\", color=\"tab:red\", transform=ax.transAxes, ha=\"right\", va=\"top\")\n", " fig.tight_layout()\n", " return ax\n", "\n", "\n", "ax = plot_terminal_dual_descriptor(df)\n", "ax;" ] }, { "cell_type": "markdown", "id": "interpretation", "metadata": {}, "source": [ "### Interpretation and limitations\n", "\n", "For methyl vinyl ether, resonance donation from oxygen gives the terminal carbon nucleophilic character: it donates electron density to an attacking electrophile. The methyl group in propene also gives the terminal carbon nucleophilic character through electron donation by hyperconjugation. Ethene provides the unsubstituted reference and has a weaker negative dual descriptor at its carbon atoms. By contrast, the electron-withdrawing cyano group in acrylonitrile reverses the response and makes the terminal carbon electrophilic, so it accepts electron density from an attacking nucleophile. The formyl group in acrolein produces the strongest electrophilic response of this series at the terminal carbon, consistent with its role as the beta carbon in conjugate nucleophilic addition.\n", "\n", "Condensed Fukui functions are normalized within each molecule and are best used to compare sites or qualitative response patterns. They do not directly predict reaction rates. Their numerical values also depend on the atomic-charge model; here they reflect AIMNet2's learned charges rather than a particular quantum-chemical population analysis." ] } ], "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 }