{ "cells": [ { "cell_type": "markdown", "id": "5d64f9af", "metadata": {}, "source": [ "# Welcome to CVsim!" ] }, { "cell_type": "code", "execution_count": null, "id": "a24a743a", "metadata": {}, "outputs": [], "source": [ "# Uncomment and run below command if you're running the notebook locally and need to install cvsim.\n", "\n", "#!pip install cvsim" ] }, { "cell_type": "code", "execution_count": 1, "id": "a668166f", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from cvsim.mechanisms import E_rev, E_q, E_qC, EE, SquareScheme\n", "from cvsim.fit_curve import FitE_rev, FitE_q, FitE_qC, FitEE, FitSquareScheme" ] }, { "cell_type": "markdown", "id": "88c6ef53", "metadata": {}, "source": [ "## Example: Reversible, one-electron mechanism" ] }, { "cell_type": "code", "execution_count": 2, "id": "0bb52c4f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Current (mA)')" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "potential, current = E_rev(\n", " start_potential=-0.3, # V vs ref.\n", " switch_potential=0.3, # V vs ref.\n", " reduction_potential=0.0, # V vs ref.\n", " scan_rate=0.1, # V/s\n", " c_bulk=5, # mM\n", " diffusion_reactant=1e-5, # cm2/s\n", " diffusion_product=1e-5, # cm2/s\n", ").simulate()\n", "\n", "fig, ax = plt.subplots()\n", "ax.plot(potential, current*1000)\n", "ax.set_xlabel('Potential (V vs ref.)')\n", "ax.set_ylabel('Current (mA)')" ] }, { "cell_type": "markdown", "id": "20323e6c", "metadata": {}, "source": [ "## Example: Quasi-reversible, one-electron mechanism" ] }, { "cell_type": "code", "execution_count": 3, "id": "1e58fce8", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Current (mA)')" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "potential, current = E_q(\n", " start_potential=0.3, # V vs ref.\n", " switch_potential=-0.3, # V vs ref.\n", " reduction_potential=0.0, # V vs ref.\n", " scan_rate=1, # V/s\n", " c_bulk=1, # mM\n", " diffusion_reactant=1e-5, # cm2/s\n", " diffusion_product=1e-5, # cm2/s\n", " alpha=0.5, # unitless\n", " k0=1e-3, # cm/s\n", ").simulate()\n", "\n", "fig,ax = plt.subplots()\n", "ax.plot(potential, current*1000)\n", "ax.set_xlabel('Potential (V vs ref.)')\n", "ax.set_ylabel('Current (mA)')" ] }, { "cell_type": "markdown", "id": "338835f9", "metadata": {}, "source": [ "## Example: The EC mechanism" ] }, { "cell_type": "code", "execution_count": 4, "id": "c085964a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Current (mA)')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "potential, current = E_qC(\n", " start_potential=0.4, # V vs ref.\n", " switch_potential=-0.6, # V vs ref.\n", " reduction_potential=-0.1, # V vs ref.\n", " scan_rate=0.5, # V/s\n", " c_bulk=1, # mM\n", " diffusion_reactant=1e-5, # cm2/s\n", " diffusion_product=1e-5, # cm2/s\n", " alpha=0.5, # unitless\n", " k0=1e-3, # cm/s\n", " k_forward=0.01, # 1/s\n", " k_backward=0.015, # 1/s\n", ").simulate()\n", "\n", "fig,ax = plt.subplots()\n", "ax.plot(potential, current*1000)\n", "ax.set_xlabel('Potential (V vs ref.)')\n", "ax.set_ylabel('Current (mA)')" ] }, { "cell_type": "markdown", "id": "3abd085b", "metadata": {}, "source": [ "## Example: The EE mechanism" ] }, { "cell_type": "code", "execution_count": 5, "id": "83ca448f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Current (mA)')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "potential, current = EE(\n", " start_potential=-0.4, # V vs ref.\n", " switch_potential=0.4, # V vs ref.\n", " reduction_potential=-0.15, # V vs ref.\n", " reduction_potential2=0.1, # V vs ref.\n", " scan_rate=1.0, # V/s\n", " c_bulk=1, # mM\n", " diffusion_reactant=1e-5, # cm2/s\n", " diffusion_intermediate=1e-5, # cm2/s\n", " diffusion_product=1e-5, # cm2/s\n", " alpha=0.5, # unitless\n", " alpha2=0.5, # unitless\n", " k0=1e-2, # cm/s\n", " k0_2=5e-3, # cm/s\n", ").simulate()\n", "\n", "fig,ax = plt.subplots()\n", "ax.plot(potential, current*1000)\n", "ax.set_xlabel('Potential (V vs ref.)')\n", "ax.set_ylabel('Current (mA)')" ] }, { "cell_type": "markdown", "id": "2ebed6ae", "metadata": {}, "source": [ "## Example: The Square Scheme mechanism" ] }, { "cell_type": "code", "execution_count": 6, "id": "8f93a78d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Current (mA)')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "potential, current = SquareScheme(\n", " start_potential=0.5, # V vs ref.\n", " switch_potential=-0.5, # V vs ref.\n", " reduction_potential=0.2, # V vs ref.\n", " reduction_potential2=-0.2, # V vs ref.\n", " scan_rate=1.0, # V/s\n", " c_bulk=1, # mM\n", " diffusion_reactant=1e-5, # cm2/s\n", " diffusion_product=1e-5, # cm2/s\n", " alpha=0.5, # unitless\n", " alpha2=0.5, # unitless\n", " k0=1e-3, # cm/s\n", " k0_2=5e-3, # cm/s\n", " k_forward=0.3, # 1/s\n", " k_backward=0.1, # 1/s\n", " k_forward2=0.01, # 1/s\n", " k_backward2=0.002, # 1/s\n", ").simulate()\n", "\n", "fig,ax = plt.subplots()\n", "ax.plot(potential, current*1000)\n", "ax.set_xlabel('Potential (V vs ref.)')\n", "ax.set_ylabel('Current (mA)')" ] }, { "cell_type": "markdown", "id": "e287ef9a", "metadata": {}, "source": [ "# Fitting CVs" ] }, { "cell_type": "markdown", "id": "5dfaf3ee", "metadata": {}, "source": [ "## Example: fit the E_rev mechanism" ] }, { "cell_type": "code", "execution_count": 7, "id": "6b6768c0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "final fitting vars: {'reduction_potential': [-0.082, -0.5, 0.3], 'diffusion_reactant': [1e-06, 5e-08, 0.0001], 'diffusion_product': [1e-06, 5e-08, 0.0001]}\n", "Initial guesses: (-0.082, 1e-06, 1e-06)\n", "Lower/Upper bounds: (-0.5, 5e-08, 5e-08)/(0.3, 0.0001, 0.0001)\n", "Fixed params: []\n", "Fitting for: ['reduction_potential', 'diffusion_reactant', 'diffusion_product']\n", "trying values: (-0.082, 1e-06, 1e-06)\n", "trying values: (-0.0820000149011612, 1e-06, 1e-06)\n", "trying values: (-0.082, 1.0149011611938476e-06, 1e-06)\n", "trying values: (-0.082, 1e-06, 1.0149011611938476e-06)\n", "trying values: (-0.082, 1e-06, 1e-06)\n", "Final fit: 'reduction_potential': -8.20E-02 +/- 2E-03\n", "Final fit: 'diffusion_reactant': 1.00E-06 +/- 1E-10\n", "Final fit: 'diffusion_product': 1.00E-06 +/- 2E-07\n" ] }, { "data": { "text/plain": [ "Text(0, 0.5, 'Current (mA)')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# if you don't have real CV data to fit, make \"fake\" data here via CVsim\n", "fake_voltages, fake_currents = E_rev(0.3, -0.5, -0.1, 0.1, 1, 1e-6, 4e-6).simulate()\n", "# add data point at zero current\n", "fake_voltages = np.insert(fake_voltages, 0, 0.3)\n", "fake_currents = np.insert(fake_currents, 0, 0.0)\n", "\n", "# fit the \"experimental\" data\n", "fitted_voltage, fitted_current, final_fit = FitE_rev(\n", " voltage_to_fit=fake_voltages, # list, V vs ref.\n", " current_to_fit=fake_currents, # list, A\n", " scan_rate=0.1, # V/s\n", " c_bulk=1, # mM\n", " step_size=1, # mV\n", " disk_radius=1.5, # mm\n", " temperature=298, # K\n", ").fit()\n", "\n", "fig, ax = plt.subplots()\n", "ax.plot(fake_voltages, fake_currents*1000, 'r', label=\"Experiment\")\n", "ax.plot(fitted_voltage, fitted_current*1000, 'k--', label=\"Fit\")\n", "ax.legend()\n", "ax.set_xlabel('Potential (V vs ref.)')\n", "ax.set_ylabel('Current (mA)')" ] }, { "cell_type": "code", "execution_count": 8, "id": "30fbfd2f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'reduction_potential': -0.082,\n", " 'diffusion_reactant': 1e-06,\n", " 'diffusion_product': 1e-06}" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# access final fit parameters\n", "final_fit" ] }, { "cell_type": "markdown", "id": "7b5565cb", "metadata": {}, "source": [ "#### A word of caution: different diffusion coefficient values still give the same CV under E_rev conditions (the beauty of Nernstian kinetics!)." ] }, { "cell_type": "markdown", "id": "ee807877", "metadata": {}, "source": [ "# " ] }, { "cell_type": "markdown", "id": "a8bfc4f6", "metadata": {}, "source": [ "## Example: fit the EE mechanism, now with some known priors\n", "#### We will assume that diffusion/transfer coefficients were obtained experimentally from an RDE experiment, and an educated guess for the ranges of electrochemical rate constants is known." ] }, { "cell_type": "code", "execution_count": 9, "id": "80f5dcf4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "final fitting vars: {'reduction_potential': [-0.3, -0.6, 0.6], 'reduction_potential2': [0.2, -0.6, 0.6], 'k0': [0.0002, 0.0001, 0.002], 'k0_2': [0.0003, 5e-05, 0.0005]}\n", "Initial guesses: (-0.3, 0.2, 0.0002, 0.0003)\n", "Lower/Upper bounds: (-0.6, -0.6, 0.0001, 5e-05)/(0.6, 0.6, 0.002, 0.0005)\n", "Fixed params: ['diffusion_reactant', 'diffusion_product', 'diffusion_intermediate', 'alpha', 'alpha2']\n", "Fitting for: ['reduction_potential', 'reduction_potential2', 'k0', 'k0_2']\n", "trying values: (-0.3, 0.2, 0.0002, 0.0003)\n", "trying values: (-0.3000000149011612, 0.2, 0.0002, 0.0003)\n", "trying values: (-0.3, 0.2000000149011612, 0.0002, 0.0003)\n", "trying values: (-0.3, 0.2, 0.00020001490116119386, 0.0003)\n", "trying values: (-0.3, 0.2, 0.0002, 0.0003000149011611938)\n", "trying values: (-0.26305206966930683, 0.17758408428413522, 0.00030812615917673596, 0.00016803814477157466)\n", "trying values: (-0.263052084570468, 0.17758408428413522, 0.00030812615917673596, 0.00016803814477157466)\n", "trying values: (-0.26305206966930683, 0.1775840991852964, 0.00030812615917673596, 0.00016803814477157466)\n", "trying values: (-0.26305206966930683, 0.17758408428413522, 0.0003081410603379298, 0.00016803814477157466)\n", "trying values: (-0.26305206966930683, 0.17758408428413522, 0.00030812615917673596, 0.0001680530459327685)\n", "trying values: (-0.26305206966930683, 0.17758408428413522, 0.00030812615917673596, 0.00016803814477157466)\n", "Final fit: 'reduction_potential': -2.63E-01 +/- 8E-04\n", "Final fit: 'reduction_potential2': 1.78E-01 +/- 9E-04\n", "Final fit: 'k0': 3.08E-04 +/- 5E-06\n", "Final fit: 'k0_2': 1.68E-04 +/- 3E-06\n" ] } ], "source": [ "# again we'll make \"fake\" data here via CVsim\n", "fake_voltages, fake_currents = EE(-0.6, 0.6, -0.25, 0.15, 0.1, 1, 3e-6, 3e-6, 3e-6, 0.4, 0.5, 5e-4, 1e-4).simulate()\n", "# add data point at zero current\n", "fake_voltages = np.insert(fake_voltages, 0, -0.6)\n", "fake_currents = np.insert(fake_currents, 0, 0.0)\n", "\n", "# fit the \"experimental\" data\n", "fitted_voltage, fitted_current, final_fit = FitEE(\n", " voltage_to_fit=fake_voltages, # list, V vs ref.\n", " current_to_fit=fake_currents, # list, A\n", " diffusion_reactant=3e-6, # cm2/s, known prior\n", " diffusion_intermediate=3e-6, # cm2/s, known prior\n", " diffusion_product=3e-6, # cm2/s, known prior\n", " alpha=0.4, # unitless, known prior\n", " alpha2=0.5, # unitless, known prior\n", " scan_rate=0.1, # V/s\n", " c_bulk=1, # mM\n", " step_size=1, # mV\n", " disk_radius=1.5, # mm\n", " temperature=298, # K\n", ").fit( \n", " # here is where we input guesses and/or ranges for guesses\n", " reduction_potential=-0.3,\n", " reduction_potential2=0.2,\n", " k0=(2e-4, 1e-4, 2e-3),\n", " k0_2=(3e-4, 5e-5, 5e-4),\n", ")" ] }, { "cell_type": "code", "execution_count": 10, "id": "5c13b7c5", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Current (mA)')" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(fake_voltages, fake_currents*1000, 'r', label=\"Experiment\")\n", "ax.plot(fitted_voltage, fitted_current*1000, 'k--', label=\"Fit\")\n", "ax.legend()\n", "ax.set_xlabel('Potential (V vs ref.)')\n", "ax.set_ylabel('Current (mA)')" ] }, { "cell_type": "code", "execution_count": 11, "id": "78058772", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'reduction_potential': -0.26305206966930683,\n", " 'reduction_potential2': 0.17758408428413522,\n", " 'k0': 0.00030812615917673596,\n", " 'k0_2': 0.00016803814477157466}" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# access final fit parameters\n", "final_fit" ] }, { "cell_type": "markdown", "id": "0fa7456c", "metadata": {}, "source": [ "#### The `fit` method can optionally receive: a `float` for an initial guess of the parameter; `tuple[float, float]` for (lower bound, upper bound) of the parameter; or `tuple[float, float, float]` for (initial guess, lower bound, upper bound)." ] }, { "cell_type": "code", "execution_count": null, "id": "0b01ba91", "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": "3.9.0" } }, "nbformat": 4, "nbformat_minor": 5 }