Metallic Solids
Structures of Solids
Lattice Centering and Coordination Number
Ionic Crystal Structures
Crystal Field Theory - Tetrahedral and Square Planar Complexes
X-ray Crystallography
You might also read
Articles linked to this work by shared authors, journal, and citation graph.
Updated: Oct 4, 2025

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
Published on: June 7, 2018
Ruth Birch1, Thomas Benjamin Britton1,2
1Materials, Imperial College London, London SW7 2AZ, United Kingdom.
This study introduces a new computational tool called ParentBOR to analyze how zirconium alloys transform from a body-centred cubic to a hexagonal close-packed structure. The tool uses electron backscatter diffraction data to track how the final microstructure relates to the original structure. The algorithm was adapted from methods used in steel and is now open-source. It helps identify crystal orientation relationships and shared lattice directions within each grain. The study also compares this method with another tool called MTEX. The results show that the algorithm can accurately reconstruct the transformation history and help understand deformation properties. This work provides a new way to study microstructural evolution in zirconium alloys.
07:24Quantitative Atomic-Site Analysis of Functional Dopants/Point Defects in Crystalline Materials by Electron-Channeling-Enhanced Microanalysis
Published on: May 10, 2021
11:48Microfluidic Chips for In Situ Crystal X-ray Diffraction and In Situ Dynamic Light Scattering for Serial Crystallography
Published on: April 24, 2018
Area of Science:
Background:
Materials that undergo allotropic phase transformations often develop microstructures with orientation relationships based on transformation history. These relationships can impact mechanical properties. In zirconium alloys, a solid-state transformation from body-centred cubic (b.c.c.) to hexagonal close-packed (h.c.p.) occurs. This transformation follows the Burgers orientation relationship (BOR), linking the two phases. Prior research has shown that the crystallographic orientation of the h.c.p. α phase relates to the parent b.c.c. β phase. However, no prior work had resolved how to systematically reconstruct and analyze these relationships in zirconium alloys. This gap motivated the adaptation of existing reconstruction tools for use in this system. Existing methods, such as electron backscatter diffraction (EBSD), provide data but lack tools to fully interpret the transformation history. The lack of post-processing algorithms for h.c.p./b.c.c. systems limited the understanding of microstructure evolution. This paper introduces a new approach to address these limitations.
Purpose Of The Study:
This study aimed to adapt and apply a reconstruction algorithm originally developed for steels to zirconium alloys undergoing b.c.c. to h.c.p. transformation. The goal was to enable detailed analysis of crystal orientation relationships using EBSD data. The researchers sought to improve understanding of how the α phase forms from the β phase during transformation. They also aimed to release this algorithm as open-source software for broader use. The study focused on the Burgers orientation relationship (BOR) between the two phases. The researchers wanted to determine how variants of the h.c.p. α phase relate to the parent b.c.c. β grains. They also intended to compare their approach with existing tools like MTEX. The study's purpose was to provide a new computational method for analyzing transformation-related microstructures in zirconium alloys.
Main Methods:
The researchers adapted a reconstruction algorithm originally developed for steels to analyze EBSD data in zirconium alloys. This algorithm uses a Markov chain clustering approach to identify orientation relationships. The adapted code was released as open-source software called ParentBOR. The algorithm processes EBSD maps to reconstruct the parent β microstructure from the h.c.p. α phase. It identifies crystallographic variants of the α phase and their relationships to the β grains. The code also enables post-processing to determine shared crystal planes and lattice directions. The researchers compared their method with recently developed reconstruction tools in MTEX. The comparison focused on differences in how each method describes the microstructure and orientation relationships.
Main Results:
The adapted algorithm successfully reconstructed the parent β microstructure from the h.c.p. α phase in zirconium alloys. The code identified variants of the α phase and their crystallographic orientation relationships with the β grains. The algorithm enabled post-processing to determine shared crystal planes and lattice directions within each β grain. The results showed that the code could accurately track the transformation history of individual grains. The researchers demonstrated that the algorithm can be used to analyze deformation properties related to the transformation. The code was compared with MTEX tools, revealing similarities in microstructure description but differences in implementation. The comparison highlighted how each method captures orientation relationships differently. The open-source nature of ParentBOR allows for further development and application in similar materials.
Conclusions:
The study concludes that the adapted reconstruction algorithm can effectively analyze orientation relationships in zirconium alloys undergoing b.c.c. to h.c.p. transformation. The researchers propose that this method can improve understanding of transformation-related deformation properties. The open-source release of the code enables broader application in materials science. The comparison with MTEX tools revealed differences in how each method describes the microstructure. The study suggests that the algorithm can be used to analyze shared crystal planes and lattice directions. The results support the use of the algorithm for post-processing EBSD data in zirconium alloys. The researchers propose that the method can assist in understanding the microstructural evolution during phase transformations. The study highlights the importance of computational tools in analyzing complex microstructures.
The BOR links the crystal orientations of the h.c.p. α phase to the parent b.c.c. β phase in zirconium alloys. This relationship is used to track transformation history and microstructure evolution.
ParentBOR uses a Markov chain clustering algorithm adapted for zirconium alloys, while MTEX employs different computational approaches. The study compares how each tool describes orientation relationships.
Shared planes and directions help identify transformation patterns and deformation mechanisms in the final microstructure. This analysis is key to understanding mechanical behavior.
EBSD data provides crystallographic information about the α and β phases. The algorithm processes this data to reconstruct the parent β microstructure.
The open-source release allows researchers to apply and improve the algorithm for other materials. It promotes transparency and collaboration in microstructural analysis.
The study may assist in optimizing microstructure design for improved mechanical properties in zirconium alloys. It provides tools to better understand transformation-related deformation.