Perfect Crystals and Crystals Containing Controlled Amounts of Imperfection

Rhombellanic Crystals and Quasicrystals

Design of some crystal and quasicrystal networks, based on rhombellane tiling,is presented. [1,1,1]Propellane,is a synthesized organic molecule; its hydrogenated form, the bicyclo[1.1.1]pentane,may be represented by the complete bipartite graph K2,3 which is the smallest rhombellane. Topology of translational and radial structures involving rhombellanes is described in terms of vertex symbol, c...

Perfect Crystals and q-deformed Fock Spaces

A b s t r a c t . In [S], [KMS] the semi-infinite wedge construction of level 1 Uq(A (1)) Fock spaces and their decomposition into the tensor product of an irreducible Uq(A(1))-module and a bosonic Fock space were given. Here a general scheme for the wedge construction of q-deformed Fock spaces using the theory of perfect crystals is presented. Let Uq(fJ) be a quantum affine algebra. Let V be a...

Perfect crystals grown from imperfect interfaces

The fabrication of advanced devices increasingly requires materials with different properties to be combined in the form of monolithic heterostructures. In practice this means growing epitaxial semiconductor layers on substrates often greatly differing in lattice parameters and thermal expansion coefficients. With increasing layer thickness the relaxation of misfit and thermal strains may cause...

Role of calcium-containing crystals in osteoarthritis.

The deposition of calcium-containing crystals in articular tissues is probably an underrecognized event. Clinical observations indicate that exaggerated and uniquely distributed cartilage degeneration is associated with these deposits. Perhaps the most compelling argument favoring a role for crystals in causing osteoarthritis stems from their in vitro effects on articular tissues. In this revie...

Molecular Crystals and Liquid Crystals