The workshop extends over two weeks and is part of the master course Introduction into crystallographic texture analysis and counts for 5 ECTS points. While the first week is mainly devoted to beginners in MTEX and/or texture analysis, the second week is a meeting of MTEX users with different experiences to share specific use cases, tips and tricks and discuss recent and upcoming developments in MTEX. A special focus will be the new features of MTEX 5.9 which will include pseudo 3d functionality for EBSD and grains and multiple spatial reference systems.

Week 1: Learning Crystallographic Texture Analysis with MTEX

Date: 06.03.2023 - 10.03.2023

During the first week we provide on a daily basis two morning lectures covering the basic theoretical principles of crystallography, diffraction and texture analysis. During the two afternoon exercises the theoretical concepts will be demonstrated via practical examples within MTEX.

Lecture 0 - General Concepts: video , slides
Matlab basics and general concepts of MTEX, the class vector3d, spherical coordinates

Lecture 1 - Crystal Geometry: slides1 , slides2
crystal lattice, direct and reciprocal coordinate system, Miller indices, zonal axes, crystal shapes

Exercise 1: exercises


Lecture 2 - Crystal Symmetries and Orientations: slides
point groups, Laue groups, symmetrically equivalent orientations, pole figures, inverse pole figures, fundamental sectors

Exercise 2: exercises
Lecture 3 - EBSD: slides , video
data import, reference frame alignment, color keys, data cleaning

Exercise 3: script , solution , data 1 , data 2 , video


Lecture 4 - Grains: slides , video
segmentation, shape properties, orientation properties, grain selection, grain statistics

Exercise 4: script , script , solution , video
Lecture 5 - Misorientations and Grain Boundaries: slides 1 , video , slides 2 , video
grain boundary misorientations, misorientation axis, misorientation angle, KAM, GOS, twin boundaries, tilt vs. twist boundaries, phase transition, orientation gradients, statistics of boundary networks, habit planes

Exercise 5: script 1 , script 1 solution , data 1 , script 2 , script 2 solution , data 2 , video


Excursion: Freiberg Silver Mine
Lecture 6 - Density Functions: slides 1 , video , slides 2 , video , video
kernel density estimation, orientation density function, pole density function, inverse pole density function, model ODFs, ODF characteristics, random sampling, ODF reconstuction from XRD data

Exercise 6: script , user data 1 , user data 2 ,


Lecture 7 - Tensorial Properties: slides , Live Script , EBSD data , video
tensor arithmetic, visualization, effect of symmetry, thermal expansion, stress and strain tensors, piezoelectricity, elasticity, wave velocities

Lecture 8 - From Single Grain to Bulk Tensors: video
average tensors (Voigt, Reuss, Hill) from EBSD and ODF
Exercise 7 - Wave Velocities: script file

Lecture 9 - Plastic Deformation: slides , live script , video
deformation tensors, slip systems, Schmid Factor, Taylor factor, simulation, dislocation systems, dislocation density estimation


Student presentation Aditya Shukla: Scanning 3D xray microscopy to image grains in CdTe solar cells

Excercise 9 - Parent Grain Reconstruction and Free Discussion of Personal Data Sets: video

Times: Lecture 1: 8:00 - 9:30, Exercise 1: 10:00 - 11:30, Lecture 2: 13:00-14:30, Exercise 2: 15:00 - 16:30

Week 2: MTEX in Applications

Date: 13.03.2023 - 15.03.2023

The second week will consist of lectures by invited experts that explain in detail the application of MTEX to specific problems as listed below. Furthermore, current or future users of MTEX are invited to share their experiences with MTEX or ask questions about specific use cases. To encourage discussions we plan with slots of 20 minutes talk given by the participants followed by 10 minute discussions. As we expect a very heterogeneous auditorium we kindly ask the participant to keep their talks as simple as possible.

Keynote Speakers

  • Karol Frydrych (Polish Academy of Science): Crystal Plasticity Simulation with MTEX

  • Rebeca Kühn (Universität Halle): Analyzing X-ray diffraction data of polyphase rocks using MTEX

  • Marco A. Lopez-Sanchez (Universidad de Oviedo): Seismic modelling using EBSD data: why, how, limitations and good practices

  • Manuel Petersmann (Infineon Technologies): Use cases of MTEX for semiconductor metalizations

  • Adam Plowman (University of Manchester):

  • Vivian Tong (National Physical Laboratory UK): Characterising microstructural shapes using EBSD and correlative SEM imaging techniques

Time Schedule

Time Speaker Title
9:00−10:00 K. Frydrych Plasticity Simulation with MTEX slides , video
10:15−10:45 T. Vermeij Automated identification of slip system activity fields from digital image correlation data slides , video
10:45−11:15 F. Niessen Habit plane determination from reconstructed parent phase orientation maps slides , video
11:15−11:30 L. Richter Characterization of habit planes in multiphase materials slides , video
11:30−12:00 T. Kohne Local tetragonality determination of martensite in high carbon steels , video
13:30−14:30 A. Plowman Using MTEX with MatFlow for crystal plasticity and phase field modeling slides , video
14:30−15:00 E. Wünsche Orientation Dependent Functions , video
15:15−15:45 G. Zeng Explore the Solidification Orientation Relationships Using EBSD and MTEX slides , video
15:45−16:15 B. Begley An MTEX-based API for VPSC slides , video
16:15−16:30 C. Chiu Crystal plasticity simulations and MTEX slides , video
16:30−16:45 S. Prüger Modeling of austenitic oligo-crystals using Abaqus and MTEX slides , video
Time Speaker Title
9:00−10:00 R. Kühn Analyzing X-ray diffraction data of polyphase rocks using MTEX slides
10:15−10:45 M. Bestmann Seismic induced anisotropy and kinking in quartz
11:15−11:45 V. Ocelik Analysis of spherulitic and rotational crystal growth of Quartz thin films slides , video
13:30−14:30 Lopez−Sanchez Seismic modelling using EBSD data: why, how, limitations and good practices slides , video
14:30−15:00 T. Qu Collecting crystallographic information of etwin in calcite rocks with MTEX slides , video
15:15−15:30 S. Gupta Characterization of Precambrian felsic magmatism of Kumaun Lesser Himalaya: constraints from zircon morphological and U-Pb-Lu-Hf isotopic studies , video
15:45−16:00 A. Dittes Quantitative model to predict the microstructure-related corrosion rate of cold-rolled SS316L: How to profit from EBSD slides , video
16:15−16:30 J. Kozlík Dictionary indexing of stress induced martensite in Ti-Nb-Zr-O alloy slides , video
16:30−16:45 E. Knipschildt Particle stimulated nucleation in three dimensions slides , video
Time Speaker Title
9:00−10:00 V. Tong Characterising microstructural shapes using EBSD and correlative SEM imaging techniques slides , video
10:15−10:45 B. Schulz Advancing analytical electron microscopy methodologies to characterise microstructural features in superalloys slides , video
10:45−11:15 N. S. Tapaswi 3D-XRD and MTEX slides , video
11:15−11:45 C. Sakr Energy Dispersive Laue Diffraction (EDLD) on tooth enamel slides , video
13:30−14:30 M. Petersmann Use cases of MTEX for semiconductor metalizations slides , video
14:45−15:15 M. Kühlbach Fairmat slides , video
15:15−16:15 Round Table Discussion
16:00−17:00 Consultation


Ralf Hielscher (TU Bergakademie Freiberg), Rüdiger Kilian (Universität Halle), Luiz Morales (ETH Zürich), Frank Niessen (DTU Dänemark)