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 6.0 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 1 - Crystal Geometry: , slides
crystal lattice, direct and reciprocal coordinate system, Miller indices, zonal axes, crystal shapes

Exercise 1: slides , video 1 , video 2


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

Exercise 2: zoom session 13:00-14:00 , exercises
Lecture 3 - EBSD: video , slides
data import, reference frame alignment, color keys, data cleaning

Exercise 3: video , slides


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

Exercise 4: video , exercises , solutions
Lecture 5 - Misorientations and Grain Boundaries: video , slides
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: video , slides


Lecture 6 - Density Functions: video , exercises , data , solutions
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: video , exercises , solutions
Lecture 7 - Tensorial Properties: video , slides
tensor arithmetic, visualization, effect of symmetry, thermal expansion, stress and strain tensors, piezoelectricity, elasticity, wave velocities

Exercise 7: video , slides


Excursion: Freiberg Silver Mine
Lecture 8 - From Single Grain to Bulk Tensors: video , slides
average tensors (Voigt, Reuss, Hill) from EBSD and ODF

Exercise 8: video , slides , m-file


Lecture 9 - Plastic Deformation: video , exercises , data , solutions
deformation tensors, slip systems, Schmid Factor, Taylor factor, simulation, dislocation systems, dislocation density estimation

Excercise 9 - Free Discussion of Personal Data Sets:

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

Time Schedule


  • TU Freiberg, Germany


Registration Fee:

  • first + second week: (PhD) students - 300 Euro, other - 500 Euro
  • second week: (PhD) students - 100 Euro, other - 200 Euro
  • the registration fee includes full catering for the days of the workshop and an excursion
  • 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)