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 5.11 which includes pseudo 3d functionality for EBSD and grains and multiple spatial reference systems.

Week 1: Learning Crystallographic Texture Analysis with MTEX

Date: 04.03.2024 - 8.03.2024

During the first week we provide on a daily basis lectures covering the principles of EBSD, texture and crystallography and their relation to plastic deformation and macroscopic properties. All concepts will be illustrated via practical examples during the exercises within MTEX.

Lecture 1 - EBSD
data import, reference frame alignment, pole figures, inverse pole figures, color keys

Exercise 1


Lecture 2 - Orientations and Symmetries
crystal lattice, direct and reciprocal coordinate system, Miller indices, zonal axes, crystal shapes, point groups, Laue groups, symmetrically equivalent orientations, pole figures, inverse pole figures, fundamental sectors

Exercise 2

Lecture 3 - Grains
segmentation, shape properties, orientation properties, grain selection, grain statistics

Exercise 3


Lecture 4 - Misorientations and Grain Boundaries
grain boundary misorientations, misorientation axis, misorientation angle, KAM, GOS, IGMA, twin boundaries, tilt vs. twist boundaries, orientation, gradients, statistics of boundary networks

Exercise 4

Lecture 5 - Density Functions
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 5


Excursion: Freiberg Silver Mine
Lecture 6 - Tensorial Properties
tensor arithmetic, visualization, effect of symmetry, thermal expansion, stress and strain tensors, piezoelectricity, elasticity, wave velocities

Exercise 6 - From Single Grain to Bulk Tensors
average tensors (Voigt, Reuss, Hill) from EBSD and ODF


Lecture 7 - Plastic Deformation
deformation tensors, slip systems, dislocation systems, Schmid Factor, Taylor factor, combining MTEX with external software like VPSC, Damask

Exercise 7
Lecture 8 - Orientation Relationships
determination of orientation relationships, phase transition, parent grain reconstruction, transformation textures, variant selection

Exercise 8


Lecture 9 - Specific Topics of Interest
Participants can vote for their topic of interest, e.g.: denoising of EBSD maps, dislocation density estimation, weighted Burgers vector, habit planes determination,

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: 11.03.2024 - 13.03.2024

The second week is a get together of new and experienced MTEX users to share their use cases of MTEX, research results and MTEX specific tricks and tips. There will be introductory lectures by invited experts that explain their workflow in specific applications of MTEX. To encourage discussions we plan with slots of 20 minutes talks followed by 10 minute discussions. As we expect a very heterogeneous auditorium we kindly ask the participants to keep their talks as accessible as possible.

Keynote Speakers

Time Schedule


please use the keycode “Professor Hielscher MTEX Workshop” when booking the rooms

Hotel Kreller: 79 Euro per night with breakfast, very close

Hotel am Obermarkt: 79 Euro per night without breakfast, very close

Elly Hostel: 68 Euro per night, with kitchen


Registration Fee:

  • first + second week (presence): (PhD) students - 400 Euro, other - 600 Euro
  • first + second week (online): (PhD) students - 200 Euro, other - 300 Euro
  • second week: (PhD) students - 100 Euro, other - 200 Euro
  • Payment includes Lunch for all days and Excursion fee
  • 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)