Based on a recent result showing that the net Coulomb potential in condensed ionic systems is rather short ranged, an exact and physically transparent method permitting the evaluation of the Coulomb potential by direct summation over the r−1 Coulomb pair potential is presented. The key observation is that the problems encountered in determining the Coulomb energy by pairwise, spherically truncated r−1 summation are a direct consequence of the fact that the system summed over is practically never neutral. A simple method is developed that achieves charge neutralization wherever the r−1 pair potential is truncated. This enables the extraction of the Coulomb energy, forces, and stresses from a spherically truncated, usually charged environment in a manner that is independent of the grouping of the pair terms. The close connection of our approach with the Ewald method is demonstrated and exploited, providing an efficient method for the simulation of even highly disordered ionic systems by direct, pairwise r−1 summation with spherical truncation at rather short range, i.e., a method which fully exploits the short-ranged nature of the interactions in ionic systems. The method is validated by simulations of crystals, liquids, and interfacial systems, such as free surfaces and grain boundaries.
Recent investigations of grain growth in nanocrystalline materials have revealed a new growth mechanism: grain-rotation-induced grain coalescence. Based on a simple model employing a stochastic theory and using computer simulations, here we investigate the coarsening of a polycrystalline microstructure due solely to the grain-rotation coalescence mechanism. Our study demonstrates that this mechanism exhibits power-law growth with a universal scaling exponent. The value of this universal growth exponent is shown to depend on the assumed mechanism by which the grain rotations are accommodated.
This perspective focuses on the synthesis,
characterization, and
modeling of three classes of hierarchical materials with potential
for sequestering radionuclides: nanoparticles, porous frameworks,
and crystalline salt inclusion phases. The scientific impact of hierarchical
structures and the development of the underlying crystal chemistry
is discussed as laying the groundwork for the design, local structure
control, and synthesis of new forms of matter with tailored properties.
This requires development of the necessary scientific understanding
of such complex structures through integrated synthesis, characterization,
and modeling studies that can allow their purposeful creation and
properties. The ultimate practical aim is to provide the means to
create novel structure types that can simultaneously sequester multiple
radionuclides. The result will lead to the creation of safe and efficient,
long lasting waste forms for fission products and transuranic elements
that are the products of nuclear materials processing waste streams.
The generation of the scientific basis for working toward that goal
is presented.
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