{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "81c543e7",
   "metadata": {},
   "source": [
    "# Molecular dynamics"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "388fd578",
   "metadata": {},
   "source": [
    "So far, we have used ramannoodle to calculate Raman spectra from phonons. This approach works well for systems where atomic motion is sufficiently harmonic. In others, thermal motion of atoms is strongly anharmonic, meaning that the \"wiggles\" of the atoms are no longer well-described by phonons. \n",
    "\n",
    "To accurately calculate Raman spectra for these systems, we use molecular dynamics (MD). The tutorial will demonstrate how to calculate MD-based Raman spectra using ramannoodle. This notebook is available on available on [Github](https://github.com/wolearyc/ramannoodle/blob/main/docs/source/notebooks/molecular-dynamics.ipynb).  "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0b8f3299-8cf3-4c00-b2b2-fb514c3aeb0f",
   "metadata": {},
   "source": [
    "First, some setup."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "3956373a-63a1-4128-b0f2-e2711b5a5213",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "import matplotlib_inline\n",
    "\n",
    "matplotlib_inline.backend_inline.set_matplotlib_formats('png')\n",
    "plt.rcParams['figure.dpi'] = 300\n",
    "plt.rcParams['font.family'] = 'sans-serif'\n",
    "plt.rcParams[\"mathtext.default\"] = 'regular'\n",
    "plt.rcParams['axes.linewidth'] = 0.5\n",
    "plt.rcParams['xtick.major.width'] = 0.5\n",
    "plt.rcParams['xtick.minor.width'] = 0.5\n",
    "plt.rcParams['lines.linewidth'] = 1.5\n",
    "\n",
    "import ramannoodle as rn"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d7da690f-f4db-4509-8c89-014e7a49c83b",
   "metadata": {},
   "source": [
    "### Constructing the polarizability model\n",
    "\n",
    "Our final goal is to calculate TiO2's Raman spectrum. We will construct an interpolation model as [we have done previously](basics.html)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "6102769c-0416-497a-b6a9-e451b66ca71d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "InterpolationModel with \u001b[1;32;49m324/324\u001b[0m degrees of freedom specified."
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_dir = \"../../../test/data/TiO2\"\n",
    "ref_structure = rn.io.vasp.poscar.read_ref_structure(f\"{data_dir}/POSCAR\")\n",
    "\n",
    "# We'll need the polarizability of the reference structure. \n",
    "_, ref_polarizability = rn.io.vasp.outcar.read_positions_and_polarizability(\n",
    "   f\"{data_dir}/ref_eps_OUTCAR\"\n",
    ")\n",
    "model = rn.pmodel.InterpolationModel(ref_structure, ref_polarizability)\n",
    "\n",
    "# OUTCARS are polarizability calculation where atom 5 (Ti) \n",
    "# was displaced +0.1 and +0.2 angstrom in the x direction\n",
    "model.add_dof_from_files(\n",
    "    [f\"{data_dir}/Ti5_0.1x_eps_OUTCAR\", f\"{data_dir}/Ti5_0.2x_eps_OUTCAR\"],\n",
    "    file_format = 'outcar', interpolation_order=2)\n",
    "\n",
    "# atom 5 moving +0.1 and +0.2 angstroms in the z direction\n",
    "model.add_dof_from_files([f\"{data_dir}/Ti5_0.1z_eps_OUTCAR\",\n",
    "                          f\"{data_dir}/Ti5_0.2z_eps_OUTCAR\"],\n",
    "                            file_format = 'outcar', interpolation_order=2)\n",
    "\n",
    "# atom 43 moving in the z direction\n",
    "model.add_dof_from_files([f\"{data_dir}/O43_0.2z_eps_OUTCAR\",\n",
    "                          f\"{data_dir}/O43_0.1z_eps_OUTCAR\", \n",
    "                          f\"{data_dir}/O43_m0.1z_eps_OUTCAR\", \n",
    "                          f\"{data_dir}/O43_m0.2z_eps_OUTCAR\"], file_format= 'outcar', interpolation_order=2)\n",
    "\n",
    "model.add_dof_from_files([f\"{data_dir}/O43_0.1x_eps_OUTCAR\",\n",
    "                         f\"{data_dir}/O43_0.2x_eps_OUTCAR\"], \n",
    "                         file_format = 'outcar', interpolation_order=2)\n",
    "\n",
    "model.add_dof_from_files([f\"{data_dir}/O43_0.1y_eps_OUTCAR\",\n",
    "                          f\"{data_dir}/O43_0.2y_eps_OUTCAR\"],\n",
    "                            file_format = 'outcar', interpolation_order=2)\n",
    "\n",
    "# We should now have specified all 324 DOFs\n",
    "model"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2cfa12dd",
   "metadata": {},
   "source": [
    "Our interpolation model is fully specified! Now, we read in an MD trajectory. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9ea2fec2",
   "metadata": {},
   "source": [
    "### Raman spectrum from high quality MD trajectory"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "533bd606",
   "metadata": {},
   "outputs": [],
   "source": [
    "# This trajectory is not publicly available. Sorry! \n",
    "# If you want to follow along in your # own notebook, scroll further.\n",
    "trajectory = rn.io.vasp.vasprun.read_trajectory(\n",
    "    f\"/Volumes/Untitled/md/TiO2/production.xml\"\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "b1f2cb2c-8444-4b6a-ae8e-f1ac6c6a6e98",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Compute spectrum\n",
    "spectrum = trajectory.get_raman_spectrum(model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "7d182420",
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 2400x900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Then plot\n",
    "wavenumbers, total_intensities = spectrum.measure(laser_correction = True, \n",
    "                                           laser_wavelength = 532, \n",
    "                                           bose_einstein_correction = True, \n",
    "                                           temperature = 300)\n",
    "\n",
    "fig = plt.figure(constrained_layout = True, figsize = (8, 3))\n",
    "axis = fig.add_subplot(111)\n",
    "lower_cutoff = 50 \n",
    "axis.plot(\n",
    "    wavenumbers[wavenumbers > lower_cutoff], \n",
    "    total_intensities[wavenumbers > lower_cutoff] / np.max(total_intensities[wavenumbers > lower_cutoff]), \n",
    "    label = \"raw\", color = 'black', linewidth = 0.5\n",
    ")\n",
    "wavenumbers, total_intensities = rn.spectrum.utils.convolve_spectrum(wavenumbers, total_intensities)\n",
    "axis.plot(\n",
    "    wavenumbers[wavenumbers > lower_cutoff], \n",
    "    total_intensities[wavenumbers > lower_cutoff] / np.max(total_intensities[wavenumbers > lower_cutoff]), \n",
    "    label = \"smoothed\", color = \"red\"\n",
    ")\n",
    "\n",
    "axis.set_xlim((0,1000))\n",
    "axis.legend()\n",
    "axis.set_ylabel(\"Intensity (a.u.)\")\n",
    "l = axis.set_xlabel(r\"Raman shift ($\\mathregular{cm^{-1}}$)\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "89928026",
   "metadata": {},
   "source": [
    "A few comments. First, MD-derived Raman spectra are somewhat noisy (black curve). We smooth out this noise using ``convolve_spectrum`` (red curve). Second, we do not plot the spectrum below 50 cm-1. This is because inclusion of the laser wavelength correction terms (``laser_correction = True``) leads to large intensities at low Raman shifts. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e2b4ed41",
   "metadata": {},
   "source": [
    "### Raman spectrum from publicly available MD trajectory\n",
    "\n",
    "Let's repeat the above steps using a TiO2 trajectory available in the [ramannoodle Github](https://github.com/wolearyc/ramannoodle).   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "4136514e",
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 2400x900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "trajectory = rn.io.vasp.xdatcar.read_trajectory(\n",
    "    f\"{data_dir}/MD_trajectory_XDATCAR\", timestep = 5\n",
    ")\n",
    "\n",
    "# Compute spectrum\n",
    "spectrum = trajectory.get_raman_spectrum(model)\n",
    "\n",
    "# Then plot\n",
    "wavenumbers, total_intensities = spectrum.measure(laser_correction = True, \n",
    "                                           laser_wavelength = 532, \n",
    "                                           bose_einstein_correction = True, \n",
    "                                           temperature = 300)\n",
    "\n",
    "fig = plt.figure(constrained_layout = True, figsize = (8, 3))\n",
    "axis = fig.add_subplot(111)\n",
    "axis.plot(\n",
    "    wavenumbers[wavenumbers > 50], \n",
    "    total_intensities[wavenumbers > 50] / np.max(total_intensities[wavenumbers > 50]), \n",
    "    label = \"raw\", color = 'black', linewidth = 0.5\n",
    ")\n",
    "wavenumbers, total_intensities = rn.spectrum.utils.convolve_spectrum(wavenumbers, total_intensities)\n",
    "axis.plot(\n",
    "    wavenumbers[wavenumbers > 50], \n",
    "    total_intensities[wavenumbers > 50] / np.max(total_intensities[wavenumbers > 50]), \n",
    "    label = \"smoothed\", color = \"red\"\n",
    ")\n",
    "axis.set_xlim((0,1000))\n",
    "axis.legend()\n",
    "axis.set_ylabel(\"Intensity (a.u.)\")\n",
    "l = axis.set_xlabel(r\"Raman shift ($\\mathregular{cm^{-1}}$)\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d0686c41",
   "metadata": {},
   "source": [
    "The shorter length and larger timestep of this trajectory yields a lower quality Raman spectrum, though the key features are still present. \n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dd326780",
   "metadata": {},
   "source": []
  }
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