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Ab Initio Studies of Defect Structures and
Phase Transformations
Personnel: James Morris (PI),
Cai-Zhuang Wang (PI), Kai-Ming Ho (PI), Bruce Harmon (PI)
Abstract:
We are interested in material-specific mechanical and thermodynamic properties
of materials. In particular, we use ab initio calculations, combined
with empirical methods (such as tight-binding and EAM potentials) to examine
the structure and energy of lattice distortions, including elastic deformations,
phonon modes and defect structures. We relate these calculations to specific
experimental observations, including high-resolution studies of defect structures,
neutron scattering studies of phonon modes and pre-martensitic phenomena,
and mechanical properties such as ductility.

Recent Results:
One of the fundamental questions in materials science is to understand the
nucleation and growth of twin boundaries, and the competition between twinning
and slip deformation modes. These issues can play an important role in the
ductility of materials. We are currently studying these issues in hcp metals,
where the ability to twin makes Zr and Ti very ductile even at low temperatures.
Conversely, materials such as Mg and Be do not twin, and are brittle. Our
large-scale atomistic simulations have shown that dislocation cores may nucleate
twin boundaries. In the figure at right, a dislocation in an hcp metal has
dissociated into a large twin nucleus (upper part of figure), with a small
partial dislocation at the bottom. These two dislocations are connected by
a stacking fault, making the arrangement difficult to move. Instead, tension
along the c-axis has the effect of causing the twinned region to grow. This
arrangement has not been seen in previous simulations, due to the small simulation
sizes used previously. This provides a microscopic explanation for the observed
fact that systems that twin under c-axis compression also twin under tension.
Grain boundaries are important in semiconductors, due to their mechanical
and electrical properties. They may provide preferential sites for point
defects (such as dopants), and also provide low-energy diffusion pathways.
We have been able to identify low energy structures for grain boundaries,
such as the one shown here, using a combination of classical, tight-binding
and ab initio calculations. The resulting structure shown here is
in close agreement with structures seen in high-resolution microscopy. The
electronic structure-based calculations, including both the empirical tight-binding
approach and the non-empirical ab initio calculations, show that the
energy is very sensitive to the structure, while the classical potentials
do not correctly capture this.
We have also explored precursor phenomena in martensitic transformations.
Martensitic systems undergo first-order transitions which are characterized
by a lattice strain. There are a number of experimental anomalies in the
high-temperature parent phase, from direct TEM observations of tweed structure,
low elastic constants, and Brillouin-zone dependence of both X-ray and neutron
scattering. We have performed large-scale simulations of both the high-temperature
bcc phase of Zr, as well as the transformation from bcc to hcp on cooling.
These simulations allow for a full calculation of the dynamic structure factor.
We have also monitored the scattering as the system transforms from the bcc
to the hcp phase, and simultaneously observed the actual atomic arrangements
during the transformation process, in order to learn about the nucleation
and growth processes. In the figure at right, we demonstrate the final microstructure
resulting from the martensitic nucleation and growth dynamics in our simulation.
Significance:
By using a combination of approaches at the atomic scale, we have been
able to demonstrate how the structure and energy of defects affect observable
macroscopic properties, such as the deformation behavior of materials. We
have been able to predict the structure of defects, such as grain boundaries
and dislocations, and their corresponding energies. We have also been able
to reproduce scattering experiments where anomalies have occurred, and relate
this to the underlying, non-linear dynamics associated with the transformations.
The unique predictive calculations resulting from these studies provide valuable
microscopic information about the deformation and transformation behaviors
in materials.
Future Work:
Much work remains to be done. We are currently working on predicting
the structure and energies of the tension twins in HCP metals,
using a combination of classical and ab initio calculations. We are
using our tight-binding model of Mo to calculate the structure and energies
of dislocations in this BCC system. We anticipate performing similar calculations
to examine dislocations in Si, again using our tight-binding model.
Interactions:
- Man Yoo, Oak Ridge National Laboratory (Deformation properties
of HCP metals)
- Sid Yip and Ju Li, Massachusetts Institute of Technology
(Dislocations in HCP and diamond-structured materials)
- Ye Yiying, Wuhan University, China (Ab initio calculations
of material properties)
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