{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", " **Chapter 2: [Diffraction](CH2_00-Diffraction.ipynb)** \n", "\n", "
\n", "\n", "# HOLZ Lines\n", "\n", "[Download](https://raw.githubusercontent.com/gduscher/MSE672-Introduction-to-TEM//main/Diffraction/CH2_11-HOLZ_Lines.ipynb)\n", " \n", "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](\n", " https://colab.research.google.com/github/gduscher/MSE672-Introduction-to-TEM/blob/main/Diffraction/CH2_11-HOLZ_Lines.ipynb)\n", "\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" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load relevant python packages\n", "### Check Installed Packages" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "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') < '0.2026.1.2':\n", " print('installing pyTEMlib')\n", " !{sys.executable} -m pip install pyTEMlib -q --upgrade\n", "print('done')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Import numerical and plotting python packages\n", "Import the python packages that we will use:\n", "\n", "Beside the basic numerical (numpy) and plotting (pylab of matplotlib) libraries,\n", "\n", "and some libraries from the book\n", "* kinematic scattering library.\n" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "pyTEM version: 0.2026.1.3\n", "notebook version: 2026.01.11\n" ] } ], "source": [ "%matplotlib widget\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import sys\n", "if 'google.colab' in sys.modules:\n", " from google.colab import output\n", " output.enable_custom_widget_manager()\n", "\n", "# Import libraries from pyTEMlib\n", "import pyTEMlib\n", "\n", "__notebook_version__ = '2026.01.11'\n", "print('pyTEM version: ', pyTEMlib.__version__)\n", "print('notebook version: ', __notebook_version__)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "\n", "## Define crystal\n" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Lattice(symbols='Si8', pbc=True, cell=[5.43088, 5.43088, 5.43088])" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "### Please choose another crystal like: Silicon, Aluminium, GaAs , ZnO\n", "atoms = pyTEMlib.crystal_tools.structure_by_name('silicon')\n", "atoms" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Plot the unit cell" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "f3547bca33264fa1873ed59756c2b659", "version_major": 2, "version_minor": 0 }, "image/png": 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", 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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from ase.visualize.plot import plot_atoms\n", "\n", "plot_atoms(atoms, radii=0.3, rotation=('0x,4y,0z'))" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true }, "slideshow": { "slide_type": "slide" } }, "source": [ "\n", "## Parameters for Diffraction Calculation\n" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "tags = {}\n", "\n", "tags['acceleration_voltage_V'] = 99 *1000.0 #V\n", "tags['convergence_angle_mrad'] = 0\n", "tags['zone_hkl'] = np.array([2,2,1]) # incident neares zone axis: defines Laue Zones!!!!\n", "\n", "tags['Sg_max'] = .01 # 1/Ang maximum allowed excitation error ; This parameter is related to the thickness\n", "tags['hkl_max'] = 36 # Highest evaluated Miller indices\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true }, "slideshow": { "slide_type": "slide" } }, "source": [ "## Kinematic Scattering Calculation" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Of the 724 possible reflection 152 are allowed.\n", "Of those, there are 2 in ZOLZ and 150 in HOLZ\n", "Of the 10 forbidden reflection in ZOLZ 0 can be dynamically activated.\n" ] } ], "source": [ "diff_dict = pyTEMlib.diffraction_tools.get_bragg_reflections(atoms, tags, verbose=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot Selected Area Electron Diffraction Pattern" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "6b22de5f146444cdb025e085219b800a", "version_major": 2, "version_minor": 0 }, "image/png": 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"text/html": [ "\n", "
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c='red', s=100)\n", "ax.scatter(0,0, c='white', s=40)\n", "\n", "ax.set_aspect('equal')\n", "FOV = 4\n", "plt.ylim(-FOV,FOV); plt.xlim(-FOV,FOV); plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Origin of HOLZ Line\n", "\n", "In **convergent beam electron-diffraction (CBED)** the zero disk contains deficient lines from HOLZ reflections in exact Bragg condition.\n", "\n", "These HOLZ deficient lines are only visible with a convergent beam.\n", "\n", "To undestand the position from the center of the disk, consider first the beam in the center of the disk, the one in exact zone axis.\n", "\n", "Because of the many different angles in CBED, one is cutting the HOLZ reflection in exact Bragg condition (remove the *#* from the second *animate* code-line).\n", "\n", "The Exald sphere has to be shifted back to the common origin (our electron source).\n", "\n", "The distance from the center of the disk is then clearly visible as $d\\theta$ (remove the *#* from the third *animate* code-line)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "1c36579257d6405891b48e81fb858a14", "version_major": 2, "version_minor": 0 }, "image/png": 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", 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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import pyTEMlib.animation as animate\n", "\n", "plt.figure()\n", "animate.deficient_holz_line(exact_bragg=False, laue_zone=1)\n", "animate.deficient_holz_line(exact_bragg='True', laue_zone=1, color='blue')\n", "animate.deficient_holz_line(exact_bragg='True', laue_zone=1, color='red', shift=True)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## HOLZ Line Construction\n", "\n", "\n", "Position of deficient HOLZ line\n", "\n", "\n", "\n", "### What is $d\\theta$:\n", "Consider the angles that make up the 90$^o$ from ZOLZ to zone axis\n", "\n", "$$ (90-\\theta_B)+ d\\theta +\\varphi = 90$$\n", "$$ d\\theta = \\theta_B -\\varphi$$\n", "$$ \\sin(\\theta_B) =|\\vec{g}/2|/ |\\vec{K}_0| $$\n", "$$ \\tan(\\varphi) = |\\vec{g}_{HOLZ}|/|\\vec{g}-\\vec{g}_{HOLZ}|$$\n", "then:\n", "$$ |\\vec{g}_{deficient}| = 2\\sin( d\\theta/ 2 )* |\\vec{K}_0|$$\n", "\n", " \n", " \n", ">For exact Bragg position in ZOLZ \n", ">\n", ">$d\\theta = \\theta_B$ then $\\vec{g}_{deficient} = -\\vec{g}/2$\n", " \n", " \n", "$d\\theta = \\theta - \\varphi$\n", "\n", "with:\n", "\n", "$\\sin(\\theta) =\\frac{|\\vec{g}|/2}{|\\vec{K}_0| }$\n", "\n", "$\\sin(\\varphi) = \\frac{|\\vec{g}_{\\rm HOLZ}|}{|\\vec{g}|}$\n", "\n", "Because $d\\theta$ is the same as $d \\varphi$ we can now calculate the deficient HOLZ lines\n", "\n", "$$\\vec{K}_{Bg} = ( (\\vec{g}-\\vec{g}_{HOLZ})/ |\\vec{g}-\\vec{g}_{HOLZ}|*|\\vec{g}_{HOLZ}| + \\vec{K}_{0}/|\\vec{K}_{0}|*|\\vec{g}-\\vec{g}_{HOLZ}|)$$\n", "$$\t\t\t\t\\vec{K}_{Bg} =(\\vec{g}_{ZOLZ}/|\\vec{g}_{ZOLZ}|*|\\vec{g}_{HOLZ}|) +\\vec{K}_{0}/|\\vec{K}_{0}|*|\\vec{g}-\\vec{g}_{HOLZ}|)$$\n", "$$\t\t\t\t\\vec{K}_{B} =\t\\vec{K}_{Bg}/|\\vec{K}_{Bg}|*\\sqrt{|\\lambda^2-g^2/4|}$$\n", "$$\t\t\t\t\\vec{K}_d = -(\\vec{g}/2+\\vec{K}_B)$$\n", "$$\t\t\t\t\\vec{g}_{deficient} = \\vec{K}_{0}-\\vec{K}_{d}$$\n", "\n", "\n", ">For exact Bragg position in ZOLZ \n", ">$\\vec{K}_B=\\vec{K}_{0}$ then $\\vec{g}_{deficient} = \\vec{g}/2$\n", ">\n", ">\t\t\t\n", ">\tThis is our Kikuchi line equation" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [], "source": [ "#Calculate angle between K0 and deficient cone vector\n", "#For dynamic calculations K0 is replaced by Kg\n", "K0 = diff_dict['K_0']\n", "g_allowed = diff_dict['allowed']['g']\n", "g_norm_allowed = g_allowed[:, 0]\n", "dtheta = g_allowed[:,0]/2-np.arcsin(g_allowed[:,2]/g_allowed[:,3])\n", "\n", "#calculate length of distance of deficient cone to K0 in ZOLZ plane\n", "\n", "gd_length =2*np.sin((dtheta)/2 )*K0\n", "\n", "#Calculate nearest point of HOLZ and Kikuchi lines\n", "\n", "gd = g_allowed.copy()\n", "gd[:,0] = -gd[:,0]*gd_length/g_norm_allowed\n", "gd[:,1] = -gd[:,1]*gd_length/g_norm_allowed\n", "gd[:,2] = 0.\n", "\n", "###calculate and save line in Hough space coordinates (distance and theta)\n", "\n", "slope = gd[:,0]/(gd[:,1]+1e-20)\n", "\n", "distance = gd_length\n", "\n", "theta = np.arctan(slope)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Now everything together in a single cell\n", "\n", "We change the lattice parameter (Vegard's law of alloys) by a few pm and observe the effect on the pattern.\n" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Of the 156 possible reflection 28 are allowed.\n", "Of those, there are 4 in ZOLZ and 24 in HOLZ\n", "Of the 46 forbidden reflection in ZOLZ 0 can be dynamically activated.\n" ] }, { "data": { "text/plain": [ "(-20.0, 20.0)" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "021b27f20515462eba1cbcd2f25808c7", "version_major": 2, "version_minor": 0 }, "image/png": 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", "text/html": [ "\n", "
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pyTEMlib.diffraction_tools.get_bragg_reflections(atoms, tags, verbose=True) \n", "\n", "diff_dict['output']=pyTEMlib.diffraction_tools.plot_holz_parameter()\n", "diff_dict['output']['plot_reflections']=False\n", "diff_dict['output']['plot_Kikuchi']=False\n", "diff_dict['output']['linewidth_HOLZ'] = 3\n", "diff_dict['output']['plot_HOLZ']=True\n", "\n", "\n", "pyTEMlib.diffraction_tools.plot_diffraction_pattern(diff_dict)\n", "plt.gca().scatter(0, 0, c='red')\n", "\n", "plt.gca().set_xlim(-20,20)\n", "plt.gca().set_ylim(-20,20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Now for graphite and low acceleration voltages.\n", "Change the acceleration voltage and see what happens.\n", "> Tip: 61.29keV and 59.68 keV are especially interesting" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Of the 138 possible reflection 118 are allowed.\n", "Of those, there are 18 in ZOLZ and 100 in HOLZ\n", "Of the 0 forbidden reflection in ZOLZ 0 can be dynamically activated.\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "a67ca4a404104ed8bad1b3a0c3507281", "version_major": 2, "version_minor": 0 }, "image/png": 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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "### Please choose another crystal like: Silicon, Aluminium, GaAs , ZnO\n", "\n", "# ----- Input -----------\n", "crystal_name = 'graphite'\n", "acceleration_voltage = 61.29 * 1000.0\n", "# -----------------------\n", "\n", "atoms = pyTEMlib.crystal_tools.structure_by_name(crystal_name)\n", "\n", "tags = {'crystal_name': crystal_name,\n", " 'acceleration_voltage': acceleration_voltage, #V\n", " 'convergence_angle': 7.,\n", " 'Sg_max': .03, # 1/Ang maximum allowed excitation error ; This parameter is related to the thickness\n", " 'hkl_max': 9, # Highest evaluated Miller indices\n", " 'zone_hkl': np.array([0, 0, 1]), \n", " 'mistilt_alpha': .0, # -45#-35-0.28-1+2.42\n", " 'mistilt_beta': 0.,\n", " 'plot_FOV': .5}\n", "\n", "diff_dict ={}\n", "diff_dict = pyTEMlib.diffraction_tools.get_bragg_reflections(atoms, tags, verbose=True) \n", "\n", "diff_dict['output']=pyTEMlib.diffraction_tools.plot_holz_parameter()\n", "diff_dict['output']['plot_reflections']=True\n", "diff_dict['output']['plot_Kikuchi']=False\n", "diff_dict['output']['linewidth_HOLZ'] = 2\n", "diff_dict['output']['plot_HOLZ']=True\n", "\n", "pyTEMlib.diffraction_tools.plot_diffraction_pattern(diff_dict)\n", "\n", "plt.title(crystal_name + ': ' + str(tags['zone_hkl']))\n", "plt.gca().set_xlim(-1.7, 1.7)\n", "plt.gca().set_ylim(-1.7, 1.7)\n", "plt.gca().set_aspect('equal')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Navigation\n", "\n", "- **Back: [Kikuchi Lines](CH2_10-Kikuchi_Lines.ipynb)** \n", "- **Next: [Lattice Determination with HOLZ](CH2_12-HOLZ_Example.ipynb)** \n", "- **Chapter 2: [Diffraction](CH2_00-Diffraction.ipynb)** \n", "- **List of Content: [Front](../_MSE672_Intro_TEM.ipynb)** \n" ] }, { "cell_type": "code", "execution_count": null, "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": "3.13.5" }, "toc": { "base_numbering": "11", "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "192.8px" }, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 4 }