Related Experiment Video
Updated: Jul 15, 2025

Comprehensive Characterization of Extended Defects in Semiconductor Materials by a Scanning Electron Microscope
Published on: May 28, 2016
Electronic and Lattice Distortions Induce Elastic Softening in Refractory Multicomponent Borides
Prince Sharma1, Ganesh Balasubramanian1
1Institute for Functional Materials & Devices, Lehigh University, Bethlehem, Pennsylvania 18015, United States.
Abstract:
Borides are extensively employed in applications demanding exceptionally high hardness, which arises from the unique and strong crystallographic arrangement of boron atoms therein. Addition of multiprincipal elements in borides is expected to enhance their structural properties due to lattice distortion and high configurational entropy. In contrast, we unravel a phenomenon of elastic softening in refractory multicomponent borides from first-principle predictions, which concur with experimentally determined metrics in their single-phase multiprincipal element counterparts. The reductions in the bulk and Young's modulus of these compounds are attributed to the lengthening and distortion of the boron-boron bonds and angles, but more critically to the perturbation in the charge densities arising from the different cations and the consequential increase in statistical weights of the d5 configuration states of the transition metals present in the boride..
Related Concept Videos
Trends in Lattice Energy: Ion Size and Charge
Plastic Behavior
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity
Hybridization of Atomic Orbitals I
Elastic Strain Energy for Shearing Stresses
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...

