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 on grain boundary statistics. Participation is possible in presence as well as remotely.

Week 1: Learning Crystallographic Texture Analysis with MTEX

Date: 03.03.2025 - 07.03.2025

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.

Monday: EBSD - First Analysis Steps and Crystallographic Background

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

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

Exercise 1

Lunch

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

Tuesday: Grains - Reconstruction, Analysis and Misorientations

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

Exercise 3

Lunch

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

Wednesday: Orientation Distribution Function and Excursion

Excursion: Freiberg Silver Mine

Lunch

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

Thursday: Data Polishing, Tensorial Properties and Elastic Deformations

Lecture 6 - Polishing of EBSD Data
Correction of spatial coordinates, reference frame alignment, denoising

Exercise 6 - Grain Boundaries and Misorientations


Lunch

Lecture 7 - Tensorial Properties
tensor arithmetic, visualization, effect of symmetry, thermal expansion, stress and strain tensors, piezoelectricity, elasticity, wave velocities


Exercise 7 - From Single Grain to Bulk Tensors
average tensors (Voigt, Reuss, Hill) from EBSD and ODF

Friday: Plastic Deformations, Orientation Relationships and Phase Transition

Lecture 8 - EBSD reference systems
how to set up your EBSD system for MTEX

Lecture 9 - Plasticity
deformation tensors, slip systems, dislocation systems, Schmid Factor, Taylor factor, combining MTEX with external software like VPSC

lunch

Lecture 10 - Parent Grain Reconstruction
determination of orientation relationships, phase transition, parent grain reconstruction, transformation textures, variant selection

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: 10.03.2025 - 13.03.2025

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

Venue:

Location: TU Freiberg, Germany (click for details)

Accommodation: (click for details)

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

Hotel Kreller: 80 Euro per night with breakfast, very close

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

Elly Hostel: 77 Euro per night, with kitchen

Registration:

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 and the University of Halle is free of charge

Organizers:

Ralf Hielscher (TU Bergakademie Freiberg), Rüdiger Kilian (Universität Halle), Luiz Morales (ETH Zürich), Vivian Tong (National Physical Laboratory UK)