Related Experiment Video
Updated: Dec 5, 2025

Construction and Systematical Symmetric Studies of a Series of Supramolecular Clusters with Binary or Ternary Ammonium Triphenylacetates
Published on: February 15, 2016
Disorder-order and order-order phase transformations in Ta5C4 phases predicted using the evolutionary algorithm and
M G Kostenko1, A I Gusev1, A V Lukoyanov2
1Institute of Solid State Chemistry, Ural Branch of the Russian Academy of Sciences, Ekaterinburg 620990, Russia. gusev@ihim.uran.ru.
Researchers discovered four new stable tantalum carbide (TaC0.8) superstructures using evolutionary algorithms. The triclinic Ta5C4 phase is the most stable, offering enhanced melting temperature and hardness for advanced material applications.
Area of Science:
- Materials Science
- Solid State Physics
- Computational Chemistry
Background:
- Nonstoichiometric tantalum carbide (TaC0.8) exhibits complex phase behavior.
- Understanding ordered phases is crucial for predicting material properties.
Purpose of the Study:
- To identify stable ordered phases in nonstoichiometric tantalum carbide (TaC0.8).
- To analyze the properties and phase transition pathways of predicted tantalum carbide superstructures.
Main Methods:
- Utilized evolutionary algorithms and symmetry analysis to search for stable superstructures.
- Calculated Density of States (DOS) to determine electronic properties.
- Determined carbon atom distribution functions and phase transition sequences.
Main Results:
- Predicted four novel stable Ta5C4 superstructures with tetragonal, monoclinic, orthorhombic, and triclinic symmetries.
- All predicted Ta5C4 superstructures and stoichiometric TaC1.00 exhibit metallic conductivity.
- Established physically permissible disorder-order and order-order phase transition sequences for the Ta5C4 family.
- Identified the triclinic Ta5C4 superstructure as the most thermodynamically favorable.
Conclusions:
- The triclinic Ta5C4 superstructure, corresponding to TaC0.80, demonstrates superior melting temperature and hardness.
- These findings provide new insights into tantalum carbide phase stability and properties.
- The predicted superstructures offer potential for advanced material design.
More Related Videos
Related Concept Videos
Predicting Molecular Geometry
Woodward–Hoffmann Selection Rules and Microscopic Reversibility
Crystal Field Theory - Tetrahedral and Square Planar Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
Crystal Field Theory - Octahedral Complexes
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
[3,3] Sigmatropic Rearrangement of 1,5-Dienes: Cope Rearrangement
Phase Diagrams

