Soap Froths and Crystal Structures

Star – triangle equivalence in soap froths

In two dimensional foams at equilibrium, triangular bubbles can be freely exchanged with 3-fold stars —three edges ending at a central vertex. This theorem is deduced here from Moukarzel’s duality. Moreover, to probe the method, a few related properties are established: under slow gas diffusion, T2 processes are continuous for triangles but not for other types of bubbles. In general, the gas fl...

Temperature Tunability of Dielectric/ Liquid Crystal / Dielectric Photonic Crystal Structures

Recently, photonic crystals doped with liquid crystal (LC) material havegained much research interest. In this article new ternary one-dimensional photoniccrystal introduced and studied. The liquid crystal layer of 5CB and 5PCH is sandwichedby two dielectric layers. For the first time, we use four structures SiO2/UCF35/CaF2,SiO2/5CB/CaF2, NFK51/UCF35/NPSK53 and NFK51/5CB/NPSK53. The effect ofte...

Generation of crystal structures using known crystal structures as analogues

This analysis attempts to answer the question of whether similar molecules crystallize in a similar manner. An analysis of structures in the Cambridge Structural Database shows that the answer is yes - sometimes they do, particularly for single-component structures. However, one does need to define what we mean by similar in both cases. Building on this observation we then demonstrate how this ...

The “Soap-Film” Method of Comparing Protein Structures

Chiral and Achiral Crystal Structures

An extensive study and analysis of the concepts, classification, presentation, and nomenclature of chirality and lack of chirality in crystal structures and their constituents is presented. Oriented crystal structures are classified. The chirality rules for existence of molecular crystal structures are examined and the relation to segmentation and latent symmetry highlighted. The nomenclature o...