{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Mean squared displacement and proton transfer free energy landscape\n", "\n", "Here we show how to calculate mean squared displacement (diffusion coefficients), both for \"normal\" atoms like Na, and for Grotthuss-diffusing hydroxide ions.\n", "\n", "One \"unique selling point\" of lionanalysis is that it can follow multiple hydroxide ions. The positions are mapped from one frame to the next using the Hungarian algorithm.\n", "\n", "**When calculating MSD always set the IntelligentUnwrap input option near the top of the file!**" ] }, { "cell_type": "code", "execution_count": 143, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from common import plot_trajectory\n", "plot_trajectory(\"trajectories/NaOH.xyz\");\n", "# mole fraction NaOH = 0.031, for comparison with Hellstrom et al. papers" ] }, { "cell_type": "code", "execution_count": 144, "metadata": {}, "outputs": [], "source": [ "\n", "%%sh\n", "cat > msdptfel1.config < msdptfel1.out\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Sodium diffusion coefficient" ] }, { "cell_type": "code", "execution_count": 145, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " #t(ps) value sum count\n", "0 0.000 0.000000 0.00000 10002\n", "1 0.005 0.000806 8.05569 10000\n", "2 0.010 0.003202 32.01370 9998\n", "3 0.015 0.007131 71.27790 9996\n", "4 0.020 0.012499 124.91800 9994\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from common import msd2df\n", "df = msd2df(\"msd_na.txt\")\n", "print(df.head())\n", "df.plot(x=\"#t(ps)\", y=\"value\", ylabel=\"MSD (ang^2)\", title=\"Na MSD\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This trajectory *clearly* isn't long enough to get a converged value for the diffusion coefficient. But we would do something like the below.\n", "\n", "Linear fit for diffusion coefficient should happen in linear regime, let's start from 0.50 ps:" ] }, { "cell_type": "code", "execution_count": 146, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Na diffusion coefficient: 1.60e-09 m^2 s^-1\n" ] } ], "source": [ "from scipy.stats import linregress\n", "\n", "def diffusion_coefficient_from_df(df: pd.DataFrame, min_t_ps: float = 0.5) -> float:\n", " \"\"\" Returns the diffusion coefficient doing a linear fit starting from min_t_ps. Returns D in m^2 s^-1\"\"\"\n", " filtered_df = df.loc[df[\"#t(ps)\"] > min_t_ps]\n", " result = linregress(filtered_df[\"#t(ps)\"], filtered_df[\"value\"])\n", " D = result.slope / 6 # ang^2/ps\n", " D = D * 1e-20 / 1e-12 # m^2 / s\n", " return D\n", "\n", "D = diffusion_coefficient_from_df(df, min_t_ps=0.5)\n", "print(f\"Na diffusion coefficient: {D:.2e} m^2 s^-1\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "According to [Hellstrom, Ceriotti, Behler](https://doi.org/10.1021/acs.jpcb.8b06433), the converged value is about 1.3 10^-9 m^2 s^-1. So the agreement is very good!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Hydroxide ion diffusion coefficient" ] }, { "cell_type": "code", "execution_count": 147, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " #t(ps) value sum count\n", "0 0.000 0.000000 0.00 9204\n", "1 0.005 0.134619 1239.03 9204\n", "2 0.010 0.235484 2167.40 9204\n", "3 0.015 0.310378 2856.72 9204\n", "4 0.020 0.343379 3160.46 9204\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df = msd2df(\"msd_hydroxide.txt\")\n", "print(df.head())\n", "df.plot(x=\"#t(ps)\", y=\"value\", ylabel=\"MSD (ang^2)\", title=\"Hydroxide MSD\");" ] }, { "cell_type": "code", "execution_count": 148, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Hydroxide diffusion coefficient: 5.73e-09 m^2 s^-1\n" ] } ], "source": [ "D = diffusion_coefficient_from_df(df, min_t_ps=0.5)\n", "print(f\"Hydroxide diffusion coefficient: {D:.2e} m^2 s^-1\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "According to Hellstrom, Ceriotti, Behler, the converged value is about 6.5e-9 m^2 s^-1, so the agreement is very good!\n", "\n", "\n", "When using TMSDFollow, we can also use ``PrintIdsFilename`` to print the group members in the right order, such that the ids in a single column will correspond to the \"same\" hydroxide ion that diffuses through the system: " ] }, { "cell_type": "code", "execution_count": 149, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "A = np.loadtxt(\"hydroxide_ids.txt\")\n", "basic_time_unit = 0.005\n", "time = basic_time_unit * (np.arange(len(A))+1)\n", "plt.plot(time, A)\n", "plt.xlabel(\"Time (ps)\")\n", "plt.ylabel(\"Hydroxide O atom id\")\n", "plt.title(\"Hydroxide O atom id vs. frame\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, each \"jump\" represents a proton transfer event where the hydroxide is assigned to a new oxygen." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Na-O radial distribution function\n", "Let's also plot the Na-O radial distribution function. The first minimum is at about 3.2 angstrom. This will help us in the next step.\n", "\n", "We also see that there are very few Na-Hydroxide direct-contact ion pairs." ] }, { "cell_type": "code", "execution_count": 150, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from common import rdf2df\n", "_, ax = plt.subplots()\n", "rdf2df(\"rdf_na_o.txt\").plot(x=0, y=1, ax=ax)\n", "rdf2df(\"rdf_na_hydroxideo.txt\").plot(x=0, y=1, ax=ax)\n", "ax.legend([\"Na-O\", \"Na-Hydroxide O\"]);\n", "ax.set_ylabel(\"g(r)\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "## Proton transfer free energy landscape\n", "\n", "### Simple overall PTFEL" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Proton transfer free energy landscapes (PTFEL) can be obtained using the ``DoubleCoordinationShortDelta`` command.\n", "\n", "These kinds of landscapes were heavily analyzed in [Hellstrom, Behler](https://doi.org/10.1021/acs.jpclett.6b01448) and [Hellstrom, Quaranta, Behler](https://doi.org/10.1039/C8SC03033B) as a function of local environment around the proton donor and acceptor.\n", "\n", "The proton transfer coordinate is the difference between the covalent O-H bond length in the donor and the H...O hydrogen bond towards the acceptor (in angstrom).\n", "\n", "Let's calculate:\n", "\n", "* The overall proton transfer free energy landscape (ptfel.txt)\n" ] }, { "cell_type": "code", "execution_count": 151, "metadata": {}, "outputs": [], "source": [ "%%sh\n", "cat > msdptfel2.config < msdptfel2.out" ] }, { "cell_type": "code", "execution_count": 152, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "def plot_ptfel(x: np.array, y: np.array) -> plt.Axes:\n", " fig, ax = plt.subplots()\n", " # translate so bottom of the well is at zero\n", " # makes it easier to read the barrier\n", " y = np.array(y) - np.min(y)\n", " ax.plot(x, y, '-')\n", " ax.plot(x, y, '.')\n", " ax.set_xlabel(\"Proton transfer coordinate (angstrom)\")\n", " ax.set_ylabel(\"Free energy / k_B*T\");\n", " ax.set_ylim((-0.1, np.max(y[y != np.inf])+0.1));\n", "\n", "\n", "A = np.loadtxt(\"ptfel.txt\")\n", "plot_ptfel(A[:, 0], A[:, 1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we see that the most common proton transfer coordinate is about 0.4 angstrom (lowest free energy), and the barrier is about 1.8 k_B * T.\n", "\n", "This simulation was carried out at T = 300 K, so the barrier is in fact ``1.8 * 8.6e-5 eV/K * 300 K`` = 0.046 eV.\n", "\n", "According to [Hellstrom, Behler](https://doi.org/10.1021/acs.jpclett.6b01448) the converged value is about 1.6 k_B * T at this NaOH concentration." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Advanced PTFEL for local environments\n", "\n", "Let's calculate:\n", "\n", "* PTFEL for OH-(A=4) + H2O(A=2) -> H2O(A=3) + OH-(A=3), where ``A`` is the number of accepted hydrogen bonds. In Hellstrom/Behler this curve (for a different NaOH concentration) is shown as (3,2)->(2,3).\n", "\n", "* PTFEL for OH-(X=1) + H2O -> H2O(X=1) + OH-, where ``X`` is the number of coordinated Na atoms by the O." ] }, { "cell_type": "code", "execution_count": 153, "metadata": {}, "outputs": [], "source": [ "\n", "%%sh\n", "cat > msdptfel3.config < msdptfel3.out" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "\n", "### PTFEL for particular hydrogen bonding environment\n", "\n", "The reaction is ``OH-(A=4) + H2O(A=2) -> H2O(A=3) + OH-(A=3)``. This emulates a \"frozen\" hydrogen bond environment where only the proton is transferred.\n", "\n", "We see that the left-hand-side (LHS) is lower in free energy and therefore more commonly occuring than the RHS.\n", "\n", "The RHS is quite high in energy - in fact there is an alternative hydrogen-bonding environment which gives a lower barrier and free energy of the product. See Hellstrom/Behler JPCL 2016 for details. This is an indication that proton transfer events are coupled to fluctuations in the hydrogen bonding environment.\n" ] }, { "cell_type": "code", "execution_count": 154, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "A = np.loadtxt(\"ptfel_hb_env.txt\")\n", "plot_ptfel(A[:, 0], A[:, 1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### PTFEL for hydroxide/water coordinated to Na" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The LHS is OH- coordinated to Na. From the RDF in the previous section we know that there are only very few such species, so we have extremely poor statistics and shouldn't put too much trust in the exact results. We would need *much* longer simulation to say anything at all.\n", "\n", "The RHS is H2O coordinated to Na. It seems like for such molecules, the barrier is ~ 5 k_B T, which is much much larger than the 1.6 k_B T for the overall PTFEL. " ] }, { "cell_type": "code", "execution_count": 155, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "A = np.loadtxt(\"ptfel_coordinated_to_Na.txt\")\n", "plot_ptfel(A[:, 0], A[:, 1])" ] } ], "metadata": { "kernelspec": { "display_name": "openmm", "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": "3.11.0" } }, "nbformat": 4, "nbformat_minor": 2 }