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.

Week 1: Learning Crystallographic Texture Analysis with MTEX

Date: 21.03.2022 - 25.03.2022

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 1 - General Concepts: free video
Matlab basics and general concepts of MTEX, the class vector3d, spherical coordinates

Lecture 2 - Crystal Lattice:
crystal lattice, direct and reciprocal coordinate system, Miller indices, zonal axes, crystal shapes

Lecture 3 - Rotations and Crystal Symmetries:
rotation representations, Euler angles, Rodrigues vectors, visualizations, fibers, crystal symmetries, point groups, Laue groups, space groups, fundamental sectors

Exercise 1:
Lecture 4 - Orientations:
symmetrically equivalent orientations, pole figures, inverse pole figures, visualizations, parameterization

Lecture 5 - Density Functions:
kernel density estimation, orientation density function, pole density function, inverse pole density function, model ODFs, ODF characteristics, random sampling

Lecture 6 - ODF Reconstruction from Pole Figure Data:
X-ray, neutron and synchrotron diffraction, data import, ghost correction, ODF estimation

Exercise 2:
Lecture 7 - EBSD:
data import, pole figures, inverse pole figures, color keys, reference frame, properties

Lecture 8 - Grains:
grain reconstruction, shape properties, orientation properties

Exercise 3 - EBSD:
Exercise 4 - Grains:
Lecture 9 - Misorientations:
definition, visualization, phase transitions, misorientation axis, misorientation angle distribution, KAM, GOS

Lecture 10 - Grain Boundaries:
geometric properties, visualization, smoothing, tilt vs. twist boundaries, grain boundary misorientations

Exercise 5 - Grain Boundaries:
Exercise 6 - Denoising EBSD Data and Misorientations:
Lecture 11 - Plastic / Elastic Deformation:
stress, strain, deformation tensors, slip systems, Schmid Factor, dislocation systems, GND

Lecture 12 - Tensorial Properties:
wave velocities, visualization, average tensors (Voigt, Reuss, Hill) from EBSD and ODF

Exercise 7 - Tensorial Properties:

Times: Lecture 1: 8:45-10:00, Lecture 2: 10:30 - 11:45, Exercise 1: 13:00-14:30, Exercise 2: 15:00 - 16:00

Week 2: MTEX in Applications

Date: 28.03.2022 - 30.03.2022

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

  • Sébastien Merkel (Université de Lille, France)
  • Wolfgang Pantleon (DTU Dänemark)
  • Tijmem Vermeij (TU/e Eindhoven University of Technology): Exploiting MTEX for alignment, analysis and identification of microstructure-correlated strain fields in micron-scale testing
  • Bjørn Eske Sørensen (Norwegian University of Science and Technology): MTEX a versatile toolbox for the geologist enabling better implementation of crystallography and texture analysis in teaching and research
  • Omero Orlandini (University of Colorado Boulder):


  • Please use our registration form to subscribe or write an email to
  • Deadline for registration is 19th of February 2022
  • Registration fee first week: students - 100 Euro, other - 200 Euro
  • Registration for second week is free
  • Registration for students of the TU Freiberg, the TU Chemnitz and the University of Halle is free of charge


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