Timezone: All times are local times of Germany, which is UTC+1 in the first week and UTC+2 in the second week.

## 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.

#### Monday: Crystal Lattices and Rotations

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

Lecture 2 - Crystal Lattice: slides video 1 video 2
crystal lattice, direct and reciprocal coordinate system, Miller indices, zonal axes, crystal shapes

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

Exercise 1: video exercises solutions

#### Tuesday: Crystal Symmetries and Orientations

Lecture 4 - Orientations: video slides
symmetrically equivalent orientations, pole figures, inverse pole figures, visualizations, parametrization

Lecture 5 - Density Functions: video slides
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: video slides
X-ray, neutron and synchrotron diffraction, data import, ghost correction, ODF estimation

Exercise 2: video exercises solutions

#### Wednesday: Electron Backscatter Diffraction (EBSD)

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

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

Exercise 3 - EBSD: video exercises data solutions
Exercise 4 - Grains: video exercises data solutions

#### Thursday: Misorientations

Lecture 9 - Misorientations: video, –> slides
definition, visualization, phase transitions, misorientation axis, misorientation angle distribution, KAM, GOS

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

Exercise 5 - Grain Boundaries: video exercises data solutions
Exercise 6 - Denoising EBSD Data and Misorientations: zoom session: 14:45-16:00 video

#### Friday: Tensorial Properties

Lecture 11 - Tensorial Properties: video slides
m-file
wave velocities, visualization, average tensors (Voigt, Reuss, Hill) from EBSD and ODF

Lecture 12 - Plastic Deformations: video slides
stress, strain, deformation tensors, slip systems, Schmid Factor, dislocation systems, GND

Exercise 7 - Tensorial Properties: video exercises data

## 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): Microstructures in Earth mantle minerals: using MTEX to track grains and physical properties of polycrystals in high pressure experiments
• Wolfgang Pantleon (DTU Dänemark): Revealing Cyclic Textures or Tungsten and the Amazing Technicolor Dreamcoat(ing)
• Tijmen 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): Deep earthquakes, super-volcanoes, fossil eggs, and historic buildings: MTEX’s ability to solve many problems

## Time Schedule

#### Monday: Parent Grain Reconstruction and more

Time Speaker Title
9:00−9:30 R. Hielscher Parent Child Orientation Relationships in MTEX, video
9:30−10:30 F. Niessen Parent Grain Reconstruction in MTEX - the new variant graph approach, video
10:30−11:00 T. Nyyssönen Twinning ambiguity at packet boundaries after reconstruction, video
11:00−11:30 M. Witte Applications of Austenite Reconstruction, video
Lunch
13:30−14:30 T. Vermeij Exploiting MTEX for alignment, analysis and identification of microstructure-correlated strain fields in micron-scale testing, video
14:30−15:00 C. Cayron Grain reconstruction by using groupoid composition tables, video
15:00−15:30 L. Germain Reconstructions with Merengue 2 and perspectives of development, video
15:30−16:00 B. Britton Parent grain reconstruction in Zircaloy-4: comparison of methods and post processing, video

#### Tuesday: MTEX in Geology

Time Speaker Title
9:00−10:00 B. Soerensen MTEX a versatile toolbox for the geologist enabling better implementation of crystallography and texture analysis in teaching and research, video
10:00−10:30 Lopez−Sanchez Unravelling dynamic recrystallization by subgrain rotation in olivine using MTEX, video
10:30−11:00 Sheng Fan Weighted Burgers vector method combined with MTEX to quantify the slip system in ice, video
11:00−11:30 K. Marquardt Influence of grain boundaries on the rheology of the Earth’s upper mantle, video
Lunch
13:30−14:30 O. Orlandini Deep earthquakes, super-volcanoes, fossil eggs, and historic buildings: MTEX’s ability to solve many problems, video
14:30−15:00 Z. Michels Linking specimen structures with field-scale structures, video
15:00−15:30 M. Allard Coupled in situ EBSD & EPMA maps unfolding the deformation history in oceanic gabbros, video
15:30−16:30 S. Merkel Microstructures in Earth mantle minerals: using MTEX to track grains and physical properties of polycrystals in high pressure experiments, video

#### Wednesday: MTEX in Material Science

Time Speaker Title
9:00−10:00 W. Pantleon Revealing Cyclic Textures or Tungsten and the Amazing Technicolor Dreamcoat(ing)
10:00−10:30 P. Lehto Misorientation gradients in polycrystalline engineering materials – characterization of grains and grain sub-structures, video
10:30−11:00 D. Depriester Coupled in situ SEM-DIC/CPFEM analyses of pure copper, video
11:00−11:30 K. Frydrych Texture-based optimization of crystal plasticity parameters using MTEX, video
Lunch
13:30−14:30 R. Hielscher Tensorial Orientation Representations, video
14:30−15:00 J. Hisccocks Making a graphical user interface for MTEX: a how-to guide, video
15:00−16:00 Round Table Discussion

## Registration:

• Please use our registration form to subscribe or write an email to Ralf.Hielscher@math.tu-freiberg.de
• Deadline for registration is 28th 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

## Organizers:

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