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MMM_2019
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Exercise 8

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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"from ase import Atoms\n",
"from ase.io import read,write\n",
"from ase.visualize import view\n",
"import nglview"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Tasks\n",
"\n",
"### Task 1\n",
"\n",
"Let's begin with some theory. The energy of system of atoms is:\n",
"\n",
"$H = \\sum_i p_i/2m_i + VR_i$.\n",
"\n",
"Expanding $V$ around equilibrium ($\\sum_i\\partial{V}/\\partial{R_i}=0$):\n",
"\n",
"$H = V_0 + \\frac{1}{2}\\sum_{ij} \\frac{\\partial{V}}{\\partial{R_i}\\partial{R_j}}\\Delta R_i\\Delta R_j$\n",
"\n",
"which, in matrix form reads:\n",
"\n",
"$H = V_0 + \\frac{1}{2}\\{P_{3N}\\}\\begin{bmatrix}{M_i}^{-1} &&\\\\ && \\\\ &&\\\\ \\end{bmatrix}\\{P_{3N}\\}^T + \n",
"\\frac{1}{2}\\{\\Delta R_{3N}\\}\\begin{bmatrix}{k_{ij}} &&\\\\ && \\\\ &&\\\\ \\end{bmatrix}\\{\\Delta R_{3N}\\}^T$\n",
"\n",
"\n",
"$H = V_0 + \\frac{1}{2}\\{P_i(\\sqrt{M_i})^{-1}\\}\\{P_i(\\sqrt{M_i})^{-1}\\}^T + \n",
"\\frac{1}{2}\\{\\Delta R_i(\\sqrt{M_i})^{-1}\\}\\underbrace{\\begin{bmatrix}{k_{ij}(\\sqrt{M_iM_j})^{-1}} &&\\\\ && \\\\ &&\\\\ \\end{bmatrix}}_{\\text{Hessian matrix}}\\{\\Delta R_i(\\sqrt{M_i})^{-1}\\}^T$\n",
"\n",
"In the basis basis states of the Hessian matrix, the above equation can be written:\n",
"\n",
"\n",
"$H = V_0 + \\frac{1}{2}\\{\\pi_i\\}\\{\\pi_i\\}^T + \n",
"\\frac{1}{2}\\{\\delta\\rho_i\\}\\begin{bmatrix}{\\omega_i} &&\\\\ &\\ddots& \\\\ &&\\\\ \\end{bmatrix}\\{\\delta\\rho_i\\}^T$\n",
"\n",
"\n",
"where ${\\delta\\rho_i},{\\pi_i}$ are the mass normalized position and momentum vectors. The above equation corresponds to a set of **uncoupled harmonic oscillators**:\n",
"\n",
"$\\boxed{H = V_0 + \\frac{1}{2}\\sum_{\\alpha} \\Big( \\frac{\\pi_{\\alpha}^2}{2} + \\frac{\\omega_{\\alpha}2}{2}\\rho_{\\alpha}^2 \\Big)}$\n",
"\n",
"The **molden** file contains the eigenvalues and eigenvectors of the Hessian matrix. The eigenvectros corresponds to the atomic displacements and the eigenvalues are the vibrational frequencies. Your task is to devise a method to display the vibrational modes, making use of the *vibr_displacements* and *atoms*(ase.Atoms object) returned by the function *read_molden*. \n",
"\n",
"For the purpose, complete the skeleton function *get_trajectory*, which is initialized in a cell below, and make use of the ase.Atoms class, which is initialized with a list of atomic elements and their respective coordinates. \n",
"\n",
"**Hint**: Write the equation of motion (Lagrangian) for the equation above and find the time evolution of the atoms for a given normal mode."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Task 2\n",
"- Compare the vibrational frequencies of methanol with experiments (see paper) and the one of benzene with literature on the internet.\n",
"- Which kind of modes will correspond to stretching of CH and CC bonds?\n",
"- Try to animate some frequencies, and report the kind of mode corresponding to all peaks.\n",
"- In the methanol case, you can compare the result you obtained with the one with better basis set and convergence. \n",
"- Examine the differences between the file vib.c6h6.inp and the vib.c6h6.ref, and the difference in spectra. Discuss."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Funcitons:\n",
"\n",
"**read_molden(file):**\n",
"\n",
" input: \n",
" file - molden filename\n",
" return:\n",
" atoms - ase.Atom object\n",
" frequency - vibrational frequencies\n",
" vibr_displacements - vibrational atomic displacements in Angstrom \n",
" \n",
"**get_trajectory(mode):**\n",
"\n",
" input:\n",
" mode - mode number\n",
" return:\n",
" trajectory - trajectory of atomic displacements for specified mode "
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"def read_molden(file):\n",
" \n",
" with open(file) as f:\n",
" data = f.readlines()\n",
"\n",
" freq = []\n",
" info_atoms = [] # element, x, y, z\n",
" vibr_displacements = [] # [vibration_nr][coord]\n",
"\n",
" inten = []\n",
"\n",
"\n",
" section = ''\n",
" b2A=0.52917721067\n",
" # Parse the datafile\n",
" for line in data:\n",
" line = line.strip()\n",
"\n",
" # Are we entering into a new section?\n",
" if line[0] == '[':\n",
" section = line.strip('[]').lower()\n",
" continue\n",
"\n",
" if section == 'freq':\n",
" freq.append(float(line))\n",
"\n",
" if section == 'fr-coord':\n",
" el, x, y, z = line.split()\n",
" info_atoms.append([el, float(x)*b2A, float(y)*b2A, float(z)*b2A])\n",
"\n",
" if section == 'fr-norm-coord':\n",
" if line.startswith('vibration'):\n",
" vibr_displacements.append([])\n",
" continue\n",
" coords = [float(x) for x in line.split()]\n",
" vibr_displacements[-1].append(coords)\n",
"\n",
" if section == 'int':\n",
" inten.append(float(line))\n",
"\n",
" vibr_displacements = np.asanyarray(vibr_displacements)\n",
" info_atoms = np.asanyarray(info_atoms)\n",
" atoms = Atoms(info_atoms[:,0], info_atoms[:,1:4])\n",
"\n",
" return atoms, freq, vibr_displacements"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def get_trajectory(mode):\n",
" '''\n",
" TODO: Solve the equation of motion and complete the missing ___ \n",
" '''\n",
" trajectory = []\n",
" for time in time_arr:\n",
" vibr_atoms = Atoms(a.get_chemical_symbols(), a.positions+'''___''')\n",
" trajectory.append(vibr_atoms)\n",
" return trajectory"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Read molden file "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"file = \"./C6H6-VIBRATIONS-1.ref.mol\"\n",
"a, freq, vibr_displacements = read_molden(file)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## View atoms at equilibrium"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "e2d2a73120ff458f8f0a89ad84291be5",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"NGLWidget()"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nglview.show_ase(a)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plot spectrum"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 0, 'Energy [cm$^{-1}$]')"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10,5))\n",
"plt.vlines(freq,np.zeros(len(freq)),np.ones(len(freq)))\n",
"plt.hlines(0,*plt.xlim())\n",
"plt.xlabel('Energy [cm$^{-1}$]',fontsize=12)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Visualize vibrational mode"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "53ec27b096d64227a5bd6629d2c0f71f",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"NGLWidget(count=20)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "d5b6f72fb8174a48b82cd0a04028708c",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"Tab(children=(Box(children=(Box(children=(Box(children=(Label(value='step'), IntSlider(value=1, min=-100)), la…"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mode = 3\n",
"trajectory = get_trajectory(mode)\n",
"nglv = nglview.show_asetraj(trajectory, gui=True)\n",
"nglv"
]
}
],
"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": "3.7.1"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Exercises/Exercise-8/.ipynb_checkpoints/Solutions-8-checkpoint.ipynb 0 → 100644
View file @ aaec79ae
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"from ase import Atoms\n",
"from ase.io import read,write\n",
"from ase.visualize import view\n",
"import nglview"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Tasks\n",
"\n",
"### Task 1\n",
"\n",
"Let's begin with some theory. The energy of system of atoms is:\n",
"\n",
"$H = \\sum_i p_i/2m_i + VR_i$.\n",
"\n",
"Expanding $V$ around equilibrium ($\\sum_i\\partial{V}/\\partial{R_i}=0$):\n",
"\n",
"$H = V_0 + \\frac{1}{2}\\sum_{ij} \\frac{\\partial{V}}{\\partial{R_i}\\partial{R_j}}\\Delta R_i\\Delta R_j$\n",
"\n",
"which, in matrix form reads:\n",
"\n",
"$H = V_0 + \\frac{1}{2}\\{P_{3N}\\}\\begin{bmatrix}{M_i}^{-1} &&\\\\ && \\\\ &&\\\\ \\end{bmatrix}\\{P_{3N}\\}^T + \n",
"\\frac{1}{2}\\{\\Delta R_{3N}\\}\\begin{bmatrix}{k_{ij}} &&\\\\ && \\\\ &&\\\\ \\end{bmatrix}\\{\\Delta R_{3N}\\}^T$\n",
"\n",
"\n",
"$H = V_0 + \\frac{1}{2}\\{P_i(\\sqrt{M_i})^{-1}\\}\\{P_i(\\sqrt{M_i})^{-1}\\}^T + \n",
"\\frac{1}{2}\\{\\Delta R_i(\\sqrt{M_i})^{-1}\\}\\underbrace{\\begin{bmatrix}{k_{ij}(\\sqrt{M_iM_j})^{-1}} &&\\\\ && \\\\ &&\\\\ \\end{bmatrix}}_{\\text{Hessian matrix}}\\{\\Delta R_i(\\sqrt{M_i})^{-1}\\}^T$\n",
"\n",
"In the basis basis states of the Hessian matrix, the above equation can be written:\n",
"\n",
"\n",
"$H = V_0 + \\frac{1}{2}\\{\\pi_i\\}\\{\\pi_i\\}^T + \n",
"\\frac{1}{2}\\{\\delta\\rho_i\\}\\begin{bmatrix}{\\omega_i} &&\\\\ &\\ddots& \\\\ &&\\\\ \\end{bmatrix}\\{\\delta\\rho_i\\}^T$\n",
"\n",
"\n",
"where ${\\delta\\rho_i},{\\pi_i}$ are the mass normalized position and momentum vectors. The above equation corresponds to a set of **coupled harmonic hoscillators**:\n",
"\n",
"$\\boxed{H = V_0 + \\frac{1}{2}\\sum_{\\alpha} \\Big( \\frac{\\pi_{\\alpha}^2}{2} + \\frac{\\omega_{\\alpha}2}{2}\\rho_{\\alpha}^2 \\Big)}$\n",
"\n",
"The **molden** file contains the eigenvalues and eigenvectors of the Hessian matrix. The eigenvectros corresponds to the atomic displacements and the eigenvalues are the vibrational frequencies. Your task is to devise a method to display the vibrational modes, making use of the *vibr_displacements* and *atoms*(ase.Atoms object) return by the function *read_molden*. \n",
"\n",
"For the purpose, complete the skeleton function *get_trajectory*, which is initialized in a cell below, and make use of the ase.Atoms class, which is initialized with a list of atomic elements and their respective coordinates. \n",
"\n",
"**Hint**: Write the equation of motion (Lagrangian) for the equation above and find the time evolution of the atoms for a given normal mode."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Task 2\n",
"- Compare the vibrational frequencies of methanol with experiments (see paper) and the one of benzene with literature on the internet.\n",
"- Which kind of modes will correspond to stretching of CH and CC bonds?\n",
"- Try to animate some frequencies, and report the kind of mode corresponding to all peaks.\n",
"- In the methanol case, you can compare the result you obtained with the one with better basis set and convergence. \n",
"- Examine the differences between the file vib.c6h6.inp and the vib.c6h6.ref, and the difference in spectra. Discuss."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Funcitons:\n",
"\n",
"**read_molden(file):**\n",
"\n",
" input: \n",
" file - molden filename\n",
" return:\n",
" atoms - ase.Atom object\n",
" frequency - vibrational frequencies\n",
" vibr_displacements - vibrational atomic displacements in Angstrom \n",
" \n",
"**get_trajectory(mode):**\n",
"\n",
" input:\n",
" mode - mode number\n",
" return:\n",
" trajectory - trajectory of atomic displacements for specified mode "
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"def read_molden(file):\n",
" \n",
" with open(file) as f:\n",
" data = f.readlines()\n",
"\n",
" freq = []\n",
" info_atoms = [] # element, x, y, z\n",
" vibr_displacements = [] # [vibration_nr][coord]\n",
"\n",
" inten = []\n",
"\n",
"\n",
" section = ''\n",
" b2A=0.52917721067\n",
" # Parse the datafile\n",
" for line in data:\n",
" line = line.strip()\n",
"\n",
" # Are we entering into a new section?\n",
" if line[0] == '[':\n",
" section = line.strip('[]').lower()\n",
" continue\n",
"\n",
" if section == 'freq':\n",
" freq.append(float(line))\n",
"\n",
" if section == 'fr-coord':\n",
" el, x, y, z = line.split()\n",
" info_atoms.append([el, float(x)*b2A, float(y)*b2A, float(z)*b2A])\n",
"\n",
" if section == 'fr-norm-coord':\n",
" if line.startswith('vibration'):\n",
" vibr_displacements.append([])\n",
" continue\n",
" coords = [float(x) for x in line.split()]\n",
" vibr_displacements[-1].append(coords)\n",
"\n",
" if section == 'int':\n",
" inten.append(float(line))\n",
"\n",
" vibr_displacements = np.asanyarray(vibr_displacements)\n",
" embed()\n",
" info_atoms = np.asanyarray(info_atoms)\n",
" atoms = Atoms(info_atoms[:,0], info_atoms[:,1:4])\n",
"\n",
" return atoms, freq, vibr_displacements"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def get_trajectory(mode):\n",
" enhance_disp = 2.0\n",
" time_arr = np.linspace(0.0, 2*np.pi, 20)\n",
"\n",
" trajectory = []\n",
" for time in time_arr:\n",
" #eq_atoms = ase.Atoms(len(chem_symbols)*['O'], eq_coords)\n",
" vibr_atoms = Atoms(a.get_chemical_symbols(), a.positions+enhance_disp*np.sin(time)*vibr_displacements[mode])\n",
" trajectory.append(vibr_atoms)\n",
" return trajectory"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Read molden file "
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Python 3.7.1 (default, Dec 14 2018, 19:28:38) \n",
"Type 'copyright', 'credits' or 'license' for more information\n",
"IPython 7.2.0 -- An enhanced Interactive Python. Type '?' for help.\n",
"\n",
"In [1]: info_atoms\n",
"Out[1]: \n",
"[['C', 2.222544284814e-05, 1.396857970284175, 0.0],\n",
" ['H', -1.2171075845410001e-05, 2.487163053250008, -0.0],\n",
" ['C', -1.210924148834321, 0.6987107720067693, -0.0],\n",
" ['H', -2.1548170103291895, 1.2443078223466488, 0.0],\n",
" ['C', -1.2109310281380596, -0.6986636752350197, 0.0],\n",
" ['H', -2.154787376405392, -1.2443226393085474, -0.0],\n",
" ['C', -2.169626563747e-05, -1.396875433132127, -0.0],\n",
" ['H', 1.2171075845410001e-05, -2.4871815744523817, 0.0],\n",
" ['C', 1.210909861049633, -0.6987023051713985, 0.0],\n",
" ['H', 2.1548021933672907, -1.244299355511278, 0.0],\n",
" ['C', 1.2109463742771691, 0.6986721420703903, -0.0],\n",
" ['H', 2.1548048392533437, 1.2443311061439182, 0.0]]\n",
"\n",
"In [2]: exit\n",
"\n"
]
}
],
"source": [
"file = \"./C6H6-VIBRATIONS-1.ref.mol\"\n",
"a, vibr_displacements = read_molden(file)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## View atoms at equilibrium"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "ca29573b21c14d659125d2bce529a966",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"NGLWidget()"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nglview.show_ase(a)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plot spectrum"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"ename": "NameError",
"evalue": "name 'freq' is not defined",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m<ipython-input-6-8c677f15f735>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfigure\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfigsize\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m10\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m5\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mvlines\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfreq\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mzeros\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfreq\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mones\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfreq\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mhlines\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mxlim\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mxlabel\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'Energy [cm$^{-1}$]'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mfontsize\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m12\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mNameError\u001b[0m: name 'freq' is not defined"
]
},
{
"data": {
"text/plain": [
"<Figure size 720x360 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10,5))\n",
"plt.vlines(freq,np.zeros(len(freq)),np.ones(len(freq)))\n",
"plt.hlines(0,*plt.xlim())\n",
"plt.xlabel('Energy [cm$^{-1}$]',fontsize=12)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Visualize vibrational mode"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"mode = 3\n",
"trajectory = get_trajectory(mode)\n",
"nglv = nglview.show_asetraj(trajectory, gui=True)\n",
"nglv"
]