Connecting the Simpler Structures to Topologically Close-Packed Phases

New Tetrahedrally Close-Packed Structures

We consider mathematical models of foams and froths, as collections of surfaces which minimize area under volume constraints. Combinatorially, because of Plateau’s rules, a foam is dual to some triangulation of space. We examine the class of foams known as tetrahedrally close-packed (TCP) structures, which includes the one used by Weaire and Phelan in their counterexample to the Kelvin conjectu...

Pairwise Correlations in Layered Close-Packed Structures

Given a description of the stacking statistics of layered close-packed structures in the form of a hidden Markov model, analytical expressions are developed for the pairwise correlation functions between the layers. These may be calculated analytically as explicit functions of model parameters or the expressions may be used as a fast, accurate and efficient way to obtain numerical values. Sever...

Transformation of topologically close-packed β-W to body-centered cubic α-W: Comparison of experiments and computations.

The enthalpy and activation energy for the transformation of the metastable form of tungsten, β-W, which has the topologically close-packed A15 structure (space group Pm3¯n), to equilibrium α-W, which is body-centered cubic (A2, space group Im3¯m), was measured using differential scanning calorimetry. The β-W films were 1 μm-thick and were prepared by sputter deposition in argon with a small am...

The sintering behavior of close-packed spheres

Diffusional Atomic-Ordering Kinetics of Close-Packed Solid Solutions: Models for L12 and D019 Phases

1. Introduction Ordering in solid solutions is a topic of growing technological and scientific interest within the field of material science. This is because of the advantageous high temperature and corrosion properties of alloys which are linked to the effect of long-range ordering [1]. Long-range order kinetics is one of the diffusion processes occurring within the atomic ranges. X-ray diffra...