Partial stacking faults (PSFs) have been frequently observed inside {101-1} and {101-2} twins in hexagonal close-packed (HCP) metals. Formation of PSFs, first described by Song Gray, only displaces atoms on every other basal plane, stark contrast to conventional SFs created Shockley partial dislocations which a global displacement vector can be defined. To experimentally verify this process is ...

We study the phase behaviour of a binary mixture of colloidal hard spheres and freely jointed chains of beads using Monte Carlo simulations. Recently Panagiotopoulos and co-workers predicted [Nat. Commun. 5, 4472 (2014)] that the hexagonal close packed (HCP) structure of hard spheres can be stabilized in such a mixture due to the interplay between polymer and the void structure in the crystal p...

In an Euclidean d-space, the container problem asks to pack n equally sized spheres into a minimal dilate of a fixed container. If the container is a smooth convex body and d ≥ 2 we show that solutions to the container problem can not have a “simple structure” for large n. By this we in particular find that there exist arbitrary small r > 0, such that packings in a smooth, 3-dimensional convex ...

In Euclidean d-spaces, the container problem asks to pack n equally sized spheres into a minimal dilate of a fixed container. If the container is a smooth convex body and d ≥ 2 we show that sequences of solutions to the container problem can not have a “simple structure”. By this we in particular find that there exist arbitrary small r > 0 such that packings with spheres of radius r into a smoo...

In an Euclidean d-space, the container problem asks to pack n equally sized spheres into a minimal dilate of a fixed container. If the container is a smooth convex body and d ≥ 2 we show that solutions to the container problem can not have a “simple structure” for large n. By this we in particular find that there exist arbitrary small r > 0, such that packings in a smooth, 3-dimensional convex ...

In this paper, we report the electrochemical fabrication of highly ordered Au nanowire arrays within hexagonal close-packed nanochannel alumina (NCA) templates with pore diameters ranging from 35 nm to 100 nm. The observations of TEM, SAED, and HRTEM show that single crystal Au nanowires have been obtained within the templates with 45 nm diameters. The growth mechanism of the single crystal Au ...

This article is an introduction to anodization of aluminum, which is a subject of electrochemistry. Anodization of aluminum under a controlled electrochemical condition yields ordered porous alumina with a close-packed hexagonal array of cylindrical nanochannels. The diameter, density, and aspect ratio of pores can be tightly controlled by varying the anodization condition, which makes the poro...