\n",
"\n",
"\n",
"\n",
"# Z-Contrast Imaging\n",
"\n",
"\n",
"[Download](https://raw.githubusercontent.com/gduscher/MSE672-Introduction-to-TEM/main/Imaging/CH3_09-Z_Contrast.ipynb)\n",
"\n",
"\n",
"[](\n",
" https://colab.research.google.com/github/gduscher/MSE672-Introduction-to-TEM/blob/main/Imaging/CH3_09-Z_Contrast.ipynb)\n",
"\n",
"part of \n",
"\n",
" **[MSE672: Introduction to Transmission Electron Microscopy](../_MSE672_Intro_TEM.ipynb)**\n",
"\n",
"\n",
"**Spring 2026** \n",
"by Gerd Duscher\n",
"\n",
"Microscopy Facilities \n",
"Institute of Advanced Materials & Manufacturing \n",
"Materials Science & Engineering \n",
"The University of Tennessee, Knoxville\n",
"\n",
"Background and methods to analysis and quantification of data acquired with transmission electron microscopes.\n",
"\n",
"\n",
"Note: This notebook needs [abTEM](https://abtem.readthedocs.io/en/latest/intro.html) installled"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"source": [
"## Load important packages\n",
"\n",
"In Colab the next code cell must be run first\n",
"\n",
"### Check Installed Packages"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"done\n"
]
}
],
"source": [
"import sys\n",
"import importlib.metadata\n",
"def test_package(package_name):\n",
" \"\"\"Test if package exists and returns version or -1\"\"\"\n",
" try:\n",
" version = importlib.metadata.version(package_name)\n",
" except importlib.metadata.PackageNotFoundError:\n",
" version = '-1'\n",
" return version\n",
"\n",
"if test_package('pyTEMlib') < '0.2026.1.0':\n",
" print('installing pyTEMlib')\n",
" !{sys.executable} -m pip install --upgrade pyTEMlib -q\n",
"if test_package('abtem') < '1.0.8':\n",
" print('installing abtem')\n",
" !{sys.executable} -m pip install --upgrade pyTEMlib -q\n",
"\n",
"# ------------------------------\n",
"print('done')"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Load Packages\n",
"We will use \n",
"- numpy and matplotlib\n",
"- physical constants from scipy\n",
"- The pyTEMlib kinematic scattering librarty is only used to determine the wavelength.\n",
"\n",
"abTEM\n",
"\n",
"please cite abTEM methods article:\n",
"\n",
"[J. Madsen & T. Susi, \"The abTEM code: transmission electron microscopy from first principles\", Open Research Europe 1: 24 (2021)](https://doi.org/10.12688/openreseurope.13015.1)\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"scrolled": true
},
"outputs": [],
"source": [
"# import matplotlib and numpy\n",
"# use \"inline\" instead of \"notebook\" for non-interactive plots\n",
"import sys\n",
"%matplotlib ipympl\n",
"if 'google.colab' in sys.modules: \n",
" from google.colab import output\n",
" output.enable_custom_widget_manager()\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"# import atomic simulation environment\n",
"import ase\n",
"import ase.spacegroup\n",
"import ase.visualize\n",
"\n",
"# import abintio-tem library\n",
"import abtem\n",
"\n",
"__notebook__ = 'CH3_09-Z_Contrast'\n",
"__notebook_version__ = '2021_03_29'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Z-contrast imaging\n",
"A Z-contrast image is acquired by scanning a ``convergent`` beam accross the sample and collecting signals with an ``annular`` (ring-like) detector. The detector sits in the convergent beam electron diffraction pattern plane and so it integrates over a ring-like part of the convergent beam diffraction (CBED) pattern.\n",
"\n",
"More generally a scanning transmisison electron microscopy (STEM) image is still scanning the same probe but integrates over different portions of the CBED pattern. A ``bright field detector`` for instance integrates over the inner part of the CBED pattern and is ``disk-like``."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Make Structure and Potential with Frozen Phonons\n",
"\n",
"As in the Dynamic Diffraction with Frozen Phonons part in the [Thermal Diffuse Scattering notebook](CH3_08-Thermal_Diffuse_Scattering.ipynb), we first define the potential of the slices.\n",
"\n",
"Again we use the ``abtem`` and ``ase`` packages to do this\n",
"\n",
"### Defining the structure\n",
"Here we make a SrTiO$_3$ crystal again"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Simulation cell: Cell([39.05, 39.05, 234.29999999999998])\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "0e75e784ee5c4a1e981154ce8d97e612",
"version_major": 2,
"version_minor": 0
},
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",
"text/html": [
"\n",
"
\n",
" "
],
"text/plain": [
"Canvas(header_visible=False, toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Bac…"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"detector = abtem.PixelatedDetector(max_angle='limit')\n",
"probe.grid.match(tds_potential)\n",
"tds_cbed = probe.multislice(tds_potential)\n",
"tds_cbed.mean(0).show(power=0.25)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We see that the HAADF detector is dominated by the features of thermal diffuse scattering.\n",
"\n",
"While that part is not terribly important in the bright field image.\n",
"\n",
"Please note:\n",
"\n",
" The detectors have to be well aligned on the optical axis or the simulation here is not valid.\n",
"\n",
"### Definition of a detector\n",
"The software only retains the radial integrated intensity of the detector\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"detector = abtem.FlexibleAnnularDetector()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Scanning the Probe\n",
"\n",
"### Define scanning area\n",
"\n",
"The scanning area can be small, but the structure in real space (width and height) is important because it determines the pixel size in reciprocal space.\n",
"\n",
"We calculate a diffraction pattern for each point of the scanned area."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "8a97e78c01aa4934bbe70317a772320a",
"version_major": 2,
"version_minor": 0
},
"image/png": 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",
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