diff --git a/docs/_toc.yml b/docs/_toc.yml index 7e9bb1d3..367894d4 100644 --- a/docs/_toc.yml +++ b/docs/_toc.yml @@ -44,6 +44,7 @@ parts: #- file: user_guide/tutorials/visualizations - file: user_guide/tutorials/core_loss - file: user_guide/tutorials/phonon_loss + - file: user_guide/tutorials/time_resolved #- file: user_guide/tutorials/custom_simulation_objects #- file: user_guide/tutorials/plasmons - file: user_guide/examples/examples diff --git a/docs/references.bib b/docs/references.bib index 658e36cf..e98e1336 100644 --- a/docs/references.bib +++ b/docs/references.bib @@ -317,3 +317,18 @@ @article{brown_linear-scaling urldate = {2025-10-10}, langid = {english}, } + +@article{olajide_temporal_resolution, + title = {Temporal Resolution of {{In Situ TEM}} Limits the Characterization of Catalyst Site Dynamics}, + author = {Olajide, Gbolagade and Maxson, Tristan and Szilv{\'a}si, Tibor}, + year = {2025}, + month = nov, + journal = {ACS Catalysis}, + volume = {15}, + number = {22}, + pages = {18908--18916}, + issn = {2155-5435}, + doi = {10.1021/acscatal.5c05363}, + urldate = {2026-09-17}, + langid = {english}, +} diff --git a/docs/user_guide/tutorials/time_resolved.ipynb b/docs/user_guide/tutorials/time_resolved.ipynb new file mode 100644 index 00000000..244400cd --- /dev/null +++ b/docs/user_guide/tutorials/time_resolved.ipynb @@ -0,0 +1,693 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "2a70404c", + "metadata": { + "execution": { + "iopub.execute_input": "2026-09-18T07:32:37.311444Z", + "iopub.status.busy": "2026-09-18T07:32:37.311233Z", + "iopub.status.idle": "2026-09-18T07:32:40.521318Z", + "shell.execute_reply": "2026-09-18T07:32:40.520416Z" + } + }, + "outputs": [], + "source": [ + "import abtem\n", + "import ase\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "from ase import units\n", + "from ase.build import fcc111\n", + "from ase.calculators.emt import EMT\n", + "from ase.constraints import FixAtoms\n", + "from ase.md.langevin import Langevin\n", + "from ase.md.velocitydistribution import Stationary, thermalize_momenta\n", + "\n", + "abtem.config.set({\"device\": \"cpu\"});\n", + "abtem.config.set({\"diagnostics.progress_bar\": False});" + ] + }, + { + "cell_type": "markdown", + "id": "6082d8f4", + "metadata": {}, + "source": [ + "(tutorials:time_resolved)=\n", + "# Time-resolved TEM from molecular dynamics\n", + "\n", + "An experimental TEM image is not a snapshot: it is an average over the exposure time. Anything that moves during the\n", + "exposure — a diffusing adatom, a fluxional catalyst site, an adsorbate hopping between binding sites — is smeared out,\n", + "and the recorded contrast is the time average of the moving structure rather than any of its instantaneous\n", + "configurations. Whether a dynamic process is resolved or averaged away therefore depends on how its time scale compares\n", + "to the exposure time.\n", + "\n", + "This tutorial shows how to model that averaging in *ab*TEM by combining a molecular dynamics (MD) trajectory with the\n", + "multislice algorithm: each MD snapshot is imaged separately, and the resulting intensities are averaged. We use a Cu\n", + "adatom diffusing on a Cu(111) surface as the example and compare two limits — a short exposure, in which the adatom is\n", + "effectively frozen, and an exposure covering the full trajectory.\n", + "\n", + "This tutorial was contributed by [Gbolagade Olajide](https://github.com/giolajide) and\n", + "[Tristan Maxson](https://github.com/tgmaxson), and follows the approach of Olajide et al.\n", + "{cite}`olajide_temporal_resolution`." + ] + }, + { + "cell_type": "markdown", + "id": "df3e401a", + "metadata": {}, + "source": [ + "## Creating the atomic model\n", + "\n", + "We use [ASE](https://ase-lib.org/) to build a Cu(111) slab, fixing the bottom two layers so that they stay in place\n", + "during the molecular dynamics, and place a single Cu adatom on the surface.\n", + "\n", + "```{note}\n", + "All 2D visualizations in *ab*TEM, `show_atoms` included, show the projection seen from $-z$ looking along the\n", + "propagation direction, so the left panel below is the view the beam has on entering the cell, not a view from above:\n", + "the adatom is drawn behind the substrate atom it sits on rather than in front of it. See our\n", + "[conventions](appendix:conventions) for the full set of these choices.\n", + "```" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "554617cb", + "metadata": { + "execution": { + "iopub.execute_input": "2026-09-18T07:32:40.524169Z", + "iopub.status.busy": "2026-09-18T07:32:40.523713Z", + "iopub.status.idle": "2026-09-18T07:32:40.529672Z", + "shell.execute_reply": "2026-09-18T07:32:40.528841Z" + } + }, + "outputs": [], + "source": [ + "surface = fcc111(\"Cu\", size=(4, 4, 4), orthogonal=True, vacuum=7)\n", + "surface.set_constraint(FixAtoms(mask=[tag in (3, 4) for tag in surface.get_tags()]))\n", + "\n", + "atoms = surface.copy()\n", + "adsorption_height = 2.2 # Å above the top layer\n", + "atoms += ase.Atoms(\"Cu\", positions=[(5, 5, atoms.positions[:, 2].max() + adsorption_height)])" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "e6934dac", + "metadata": { + "execution": { + "iopub.execute_input": "2026-09-18T07:32:40.531848Z", + "iopub.status.busy": "2026-09-18T07:32:40.531645Z", + "iopub.status.idle": "2026-09-18T07:32:40.810670Z", + "shell.execute_reply": "2026-09-18T07:32:40.809742Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(9, 4))\n", + "abtem.show_atoms(atoms, plane=\"xy\", ax=ax1, title=\"Beam view\", tight_limits=True, scale=0.5)\n", + "abtem.show_atoms(atoms, plane=\"yz\", ax=ax2, title=\"Side view\", tight_limits=True, scale=0.5);" + ] + }, + { + "cell_type": "markdown", + "id": "46feb7d3", + "metadata": {}, + "source": [ + "### Setting up the imaging geometry\n", + "\n", + "In *ab*TEM the beam always propagates along the $z$-axis, so the model above would be imaged in plan view, looking through\n", + "the surface. In an *in situ* experiment the interesting sites are usually imaged in profile instead, at the edge of\n", + "a particle, so we rotate the [`Atoms`](https://ase-lib.org/ase/atoms.html) object to bring the surface normal into the\n", + "image plane. See the [walkthrough on atomic models](walkthrough:atomic_models) for more on orienting a structure." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "d1f200ea", + "metadata": { + "execution": { + "iopub.execute_input": "2026-09-18T07:32:40.813057Z", + "iopub.status.busy": "2026-09-18T07:32:40.812794Z", + "iopub.status.idle": "2026-09-18T07:32:40.924374Z", + "shell.execute_reply": "2026-09-18T07:32:40.923300Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "atoms.rotate(-90, \"x\", rotate_cell=True)\n", + "atoms.rotate(-90, \"y\", rotate_cell=True)\n", + "\n", + "abtem.show_atoms(atoms, plane=\"xy\", title=\"Beam view after rotation\", tight_limits=True, scale=0.5);" + ] + }, + { + "cell_type": "markdown", + "id": "15fa8e0c", + "metadata": {}, + "source": [ + "## Running the molecular dynamics\n", + "\n", + "Running MD in ASE requires a [calculator](https://ase-lib.org/ase/calculators/calculators.html) to provide the forces.\n", + "The effective medium theory (EMT) potential is parametrized for Cu and is fast enough to run inside this notebook; for a\n", + "system EMT does not cover, a machine-learned interatomic potential such as\n", + "[MACE-MP-0](https://github.com/ACEsuit/mace-foundations) is a good general-purpose substitute, at a higher cost.\n", + "\n", + "We run Langevin dynamics with a 3 fs timestep at 700 K, a temperature at which the adatom diffuses over the surface\n", + "within the 10 ps of simulated time. The trajectory is sampled every 30 steps, giving one snapshot every\n", + "90 fs." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "c4821071", + "metadata": { + "execution": { + "iopub.execute_input": "2026-09-18T07:32:40.926550Z", + "iopub.status.busy": "2026-09-18T07:32:40.926309Z", + "iopub.status.idle": "2026-09-18T07:32:40.929792Z", + "shell.execute_reply": "2026-09-18T07:32:40.928924Z" + } + }, + "outputs": [], + "source": [ + "temperature = 700 # K, high enough to drive surface diffusion\n", + "timestep = 3 # fs\n", + "total_time = 10_000 # fs, i.e. 10 ps\n", + "sampling_interval = 30 # save every 30th step\n", + "\n", + "steps = int(np.ceil(total_time / timestep))" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "c9a25b17", + "metadata": { + "execution": { + "iopub.execute_input": "2026-09-18T07:32:40.931801Z", + "iopub.status.busy": "2026-09-18T07:32:40.931577Z", + "iopub.status.idle": "2026-09-18T07:33:11.106093Z", + "shell.execute_reply": "2026-09-18T07:33:11.104997Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "112" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "atoms.calc = EMT()\n", + "\n", + "rng = np.random.default_rng(seed=13)\n", + "thermalize_momenta(atoms, temperature, rng=rng)\n", + "Stationary(atoms)\n", + "\n", + "trajectory = []\n", + "\n", + "dyn = Langevin(\n", + " atoms,\n", + " timestep=timestep * units.fs,\n", + " temperature_K=temperature,\n", + " friction=0.002,\n", + " fixcm=False,\n", + " rng=rng,\n", + ")\n", + "dyn.attach(lambda: trajectory.append(atoms.copy()), interval=sampling_interval)\n", + "dyn.run(steps)\n", + "\n", + "len(trajectory)" + ] + }, + { + "cell_type": "markdown", + "id": "bc15bd94", + "metadata": {}, + "source": [ + "```{note}\n", + "We keep the trajectory in memory here to avoid writing files, but a realistic workflow runs the dynamics separately and\n", + "reads the result back with `ase.io.read(\"md.traj\", \":\")`, which gives the same list of `Atoms` objects. The MD is by far\n", + "the more expensive part of a time-resolved simulation, so it is worth doing once and reusing.\n", + "```\n", + "\n", + "The adatom is the last atom in each snapshot, so we can check directly how far it travelled. It covers several\n", + "Ångström over the 10 ps, while the substrate atoms only vibrate around their lattice sites." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "2eb9cb41", + "metadata": { + "execution": { + "iopub.execute_input": "2026-09-18T07:33:11.108686Z", + "iopub.status.busy": "2026-09-18T07:33:11.108453Z", + "iopub.status.idle": "2026-09-18T07:33:11.350108Z", + "shell.execute_reply": "2026-09-18T07:33:11.349041Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "adatom_positions = np.array([image.positions[-1] for image in trajectory])\n", + "time = np.arange(len(trajectory)) * sampling_interval * timestep / 1000\n", + "\n", + "fig, ax = plt.subplots(figsize=(6, 3))\n", + "ax.plot(time, adatom_positions[:, 0])\n", + "ax.set_xlabel(\"Time [ps]\")\n", + "ax.set_ylabel(\"Adatom $x$-position [Å]\");" + ] + }, + { + "cell_type": "markdown", + "id": "a986f8d7", + "metadata": {}, + "source": [ + "The adatom leaves the cell along the way, so we wrap every snapshot back into the cell before building the potentials." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "6529eb95", + "metadata": { + "execution": { + "iopub.execute_input": "2026-09-18T07:33:11.352406Z", + "iopub.status.busy": "2026-09-18T07:33:11.352175Z", + "iopub.status.idle": "2026-09-18T07:33:11.364029Z", + "shell.execute_reply": "2026-09-18T07:33:11.362959Z" + } + }, + "outputs": [], + "source": [ + "for image in trajectory:\n", + " image.wrap()" + ] + }, + { + "cell_type": "markdown", + "id": "1e89c000", + "metadata": {}, + "source": [ + "## HRTEM simulation\n", + "\n", + "We now simulate HRTEM images in two limiting cases:\n", + "\n", + "1. *Short exposure*: the image is formed from a single MD snapshot. The exposure is long compared to the period of a\n", + " lattice vibration, but too short for the adatom to move appreciably.\n", + "2. *Time-averaged*: the image is the average over all snapshots, corresponding to an exposure of 10 ps. This is the\n", + " limit that experimental imaging of a diffusing species approaches." + ] + }, + { + "cell_type": "markdown", + "id": "39aac5bf", + "metadata": {}, + "source": [ + "### Short-exposure image\n", + "\n", + "We take the final snapshot of the trajectory and average over a [frozen phonon](walkthrough:frozen_phonons) ensemble to\n", + "include the thermal vibrations that are averaged out even in a short exposure. The two bottom layers are held fixed in\n", + "the molecular dynamics, so we give them a vanishing vibration amplitude here as well, keeping the two simulations\n", + "comparable." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "102dec85", + "metadata": { + "execution": { + "iopub.execute_input": "2026-09-18T07:33:11.365922Z", + "iopub.status.busy": "2026-09-18T07:33:11.365721Z", + "iopub.status.idle": "2026-09-18T07:33:11.371325Z", + "shell.execute_reply": "2026-09-18T07:33:11.370263Z" + } + }, + "outputs": [], + "source": [ + "sigmas = np.where(np.isin(trajectory[-1].get_tags(), (3, 4)), 0, 0.1) # the fixed layers do not vibrate\n", + "\n", + "static_potential = abtem.Potential(\n", + " abtem.FrozenPhonons(trajectory[-1], num_configs=12, sigmas=sigmas, seed=13),\n", + " sampling=0.05,\n", + " slice_thickness=1,\n", + " projection=\"infinite\",\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "24f609d3", + "metadata": {}, + "source": [ + "The incident beam is represented by a [plane wave](walkthrough:wave_functions) at 200 kV, which we propagate through the\n", + "potential with the [multislice algorithm](walkthrough:multislice)." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "4f4f4ce0", + "metadata": { + "execution": { + "iopub.execute_input": "2026-09-18T07:33:11.373606Z", + "iopub.status.busy": "2026-09-18T07:33:11.373354Z", + "iopub.status.idle": "2026-09-18T07:33:11.392228Z", + "shell.execute_reply": "2026-09-18T07:33:11.391087Z" + } + }, + "outputs": [], + "source": [ + "plane_wave = abtem.PlaneWave(energy=200e3)\n", + "\n", + "static_exit_wave = plane_wave.multislice(static_potential)" + ] + }, + { + "cell_type": "markdown", + "id": "09e10526", + "metadata": {}, + "source": [ + "The exit wave is imaged through an objective lens described by a\n", + "[contrast transfer function](walkthrough:contrast_transfer_function). We use an aberration-corrected instrument with a\n", + "small negative spherical aberration at Scherzer defocus, and include the focal spread resulting from the chromatic\n", + "aberration of the lens and the energy spread of the source, as described in the tutorial on\n", + "[partial coherence](tutorials:partial_coherence)." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "48342dea", + "metadata": { + "execution": { + "iopub.execute_input": "2026-09-18T07:33:11.394357Z", + "iopub.status.busy": "2026-09-18T07:33:11.394147Z", + "iopub.status.idle": "2026-09-18T07:33:11.397609Z", + "shell.execute_reply": "2026-09-18T07:33:11.396749Z" + } + }, + "outputs": [], + "source": [ + "Cs = -8e-6 * 1e10 # spherical aberration of -8 µm, in Å\n", + "Cc = 1.0e-3 * 1e10 # chromatic aberration of 1 mm, in Å\n", + "energy_spread = 0.3 # standard deviation of the beam energy [eV]\n", + "\n", + "ctf = abtem.CTF(Cs=Cs, energy=plane_wave.energy, defocus=\"scherzer\")\n", + "ctf.focal_spread = Cc * energy_spread / plane_wave.energy" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "9e5d3ab9", + "metadata": { + "execution": { + "iopub.execute_input": "2026-09-18T07:33:11.399643Z", + "iopub.status.busy": "2026-09-18T07:33:11.399379Z", + "iopub.status.idle": "2026-09-18T07:33:13.597456Z", + "shell.execute_reply": "2026-09-18T07:33:13.596446Z" + } + }, + "outputs": [], + "source": [ + "static_image = static_exit_wave.apply_ctf(ctf).intensity().mean(0).compute()" + ] + }, + { + "cell_type": "markdown", + "id": "685d2a70", + "metadata": {}, + "source": [ + "```{tip}\n", + "The multislice simulation is the expensive step, so it pays to write the result to disk with\n", + "`static_image.to_zarr(\"static_image.zarr\")` and read it back later with `abtem.from_zarr(\"static_image.zarr\")`, rather\n", + "than recomputing it every time you change the display or the noise level.\n", + "```" + ] + }, + { + "cell_type": "markdown", + "id": "28b024c3", + "metadata": {}, + "source": [ + "### Time-averaged image\n", + "\n", + "The time-averaged image is obtained the same way, except that the potential is built from the full list of snapshots\n", + "instead of a single one. *ab*TEM turns any sequence of `Atoms` objects into an ensemble of potentials, exactly as it\n", + "does for a frozen phonon ensemble, and the exit waves are averaged after the intensity is taken. No frozen phonons are\n", + "needed here — the MD trajectory already contains the thermal vibrations." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "551f874c", + "metadata": { + "execution": { + "iopub.execute_input": "2026-09-18T07:33:13.599556Z", + "iopub.status.busy": "2026-09-18T07:33:13.599339Z", + "iopub.status.idle": "2026-09-18T07:33:18.740411Z", + "shell.execute_reply": "2026-09-18T07:33:18.739190Z" + } + }, + "outputs": [], + "source": [ + "potential = abtem.Potential(\n", + " trajectory,\n", + " sampling=0.05,\n", + " slice_thickness=1,\n", + " projection=\"infinite\",\n", + ")\n", + "\n", + "exit_wave = plane_wave.multislice(potential)\n", + "\n", + "time_averaged_image = exit_wave.apply_ctf(ctf).intensity().mean(0).compute()" + ] + }, + { + "cell_type": "markdown", + "id": "28b12adc", + "metadata": {}, + "source": [ + "```{note}\n", + "The cost of a time-resolved simulation is the cost of a single image multiplied by the number of snapshots, so it grows\n", + "quickly with the exposure time. The snapshots are independent, which makes the calculation trivially parallel — see the\n", + "[parallelization walkthrough](walkthrough:parallelization) for running the ensemble across multiple workers, or set\n", + "`abtem.config.set({\"device\": \"gpu\"})` to run on a GPU.\n", + "```" + ] + }, + { + "cell_type": "markdown", + "id": "bccb4eb9", + "metadata": {}, + "source": [ + "## The effect of time averaging\n", + "\n", + "We compare the two images on a common intensity scale, cropping the field of view to the surface region. The substrate\n", + "lattice is imaged identically in both, but the adatom, visible just above the surface in the short-exposure image,\n", + "almost disappears when the image is averaged over 10 ps: its intensity is spread over the region it explored during the\n", + "exposure instead of being concentrated at a single site." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "c134e8ee", + "metadata": { + "execution": { + "iopub.execute_input": "2026-09-18T07:33:18.742958Z", + "iopub.status.busy": "2026-09-18T07:33:18.742736Z", + "iopub.status.idle": "2026-09-18T07:33:19.072771Z", + "shell.execute_reply": "2026-09-18T07:33:19.071597Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "comparison = abtem.stack(\n", + " (static_image, time_averaged_image), (\"Short exposure\", \"Time-averaged (10 ps)\")\n", + ")\n", + "cropped = comparison.crop(extent=(comparison.extent[0], 12), offset=(0, 5.5))\n", + "\n", + "cropped.show(\n", + " explode=True, common_color_scale=True, cmap=\"gray\", figsize=(9, 5), cbar=True\n", + ");" + ] + }, + { + "cell_type": "markdown", + "id": "6595a042", + "metadata": {}, + "source": [ + "The effect is easier to quantify in a line profile taken across the image at the height of the adatom, averaged over a\n", + "1 Å wide band. The peak marking the adatom in the short-exposure image is reduced to a broad, low ripple by the time\n", + "averaging." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "7c32eaba", + "metadata": { + "execution": { + "iopub.execute_input": "2026-09-18T07:33:19.075210Z", + "iopub.status.busy": "2026-09-18T07:33:19.074949Z", + "iopub.status.idle": "2026-09-18T07:33:19.236725Z", + "shell.execute_reply": "2026-09-18T07:33:19.235727Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "adatom_height = adatom_positions[:, 1].mean()\n", + "\n", + "profiles = comparison.interpolate_line(\n", + " start=(0, adatom_height), end=(comparison.extent[0], adatom_height), width=1, gpts=200\n", + ")\n", + "\n", + "profiles.show(figsize=(7, 3), legend=True);" + ] + }, + { + "cell_type": "markdown", + "id": "342da63a", + "metadata": {}, + "source": [ + "A real image is also limited by the finite number of electrons collected during the exposure, which we include by\n", + "applying shot noise for a given dose." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "e29f27ea", + "metadata": { + "execution": { + "iopub.execute_input": "2026-09-18T07:33:19.238799Z", + "iopub.status.busy": "2026-09-18T07:33:19.238594Z", + "iopub.status.idle": "2026-09-18T07:33:19.587241Z", + "shell.execute_reply": "2026-09-18T07:33:19.586162Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "noisy_comparison = cropped.poisson_noise(dose_per_area=2e4, seed=0)\n", + "\n", + "noisy_comparison.show(\n", + " explode=True, common_color_scale=True, cmap=\"gray\", figsize=(9, 5), cbar=True\n", + ");" + ] + }, + { + "cell_type": "markdown", + "id": "5538d057", + "metadata": {}, + "source": [ + "With noise included, the weak time-averaged adatom contrast is no longer distinguishable from the background, while the\n", + "same adatom is still visible in the short-exposure image. Averaging over longer times only makes this worse: the adatom\n", + "explores a larger region, and its contrast at any single position falls further. This is the basic limitation that\n", + "temporal resolution places on the characterization of site dynamics — see Olajide et al.\n", + "{cite}`olajide_temporal_resolution` for a detailed analysis of the consequences for *in situ* catalysis studies." + ] + } + ], + "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": "3.13.11" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/docs/user_guide/walkthrough/frozen_phonons.ipynb b/docs/user_guide/walkthrough/frozen_phonons.ipynb index 4ae5fab5..c4eaa60a 100644 --- a/docs/user_guide/walkthrough/frozen_phonons.ipynb +++ b/docs/user_guide/walkthrough/frozen_phonons.ipynb @@ -51,6 +51,10 @@ "\n", "```{note}\n", "Even though phonon scattering in reality is inelastic, the multislice simulation used with the frozen phonon model is fully elastic same as for the static case. This is an excellent approximation since the energy loss involved with phonon scattering is negligible compared to the primary beam energy.\n", + "```\n", + "\n", + "```{seealso}\n", + "The frozen phonon model describes fast vibrations around fixed equilibrium sites. Atoms that actually move between sites during the exposure, such as a diffusing adatom, are averaged over in the same way by using the snapshots of a molecular dynamics trajectory in place of the random displacements; see our [tutorial on time-resolved TEM](tutorials:time_resolved).\n", "```" ] },