Porous Materials with Ultralow Optical Constants for Integrated Optical Device Applications

Abstract

We apply canonical Poisson-Lie T-duality transformations to bosonic open string worldsheet boundary conditions, showing that the form of these conditions is invariant at the classical level, and therefore they are compatible with Poisson-Lie T-duality. In particular the conditions for conformal invariance are automatically preserved, rendering also the dual model conformal. The boundary conditions are defined in terms of a gluing matrix which encodes the properties of D-branes, and we derive the duality map for this matrix. We demonstrate explicitly the implications of this map for D-branes in two non-Abelian Drinfel'd doubles.

Surface Properties of Al-Functionalized Mesoporous MCM-41 and the Melting Behavior of Water in Al-MCM-41 Nanopores

“…In 1998, Zhao et al reported the synthesis of a new type of SBA-15 material characterized by two-dimensional hexagonal structure with a thicker pore wall relative to that in mesoporous MCM-41. Intensive studies of these materials are related to their unique properties such as a perfect channel system, large surface area, uniform pore size, thermal and chemical stability, − and also the possibility of their extensive applications as sorbents for separation problems, drugs delivery problems, or in sensor design and as optical devices. − Mesoporous matrices have found a broad range of applications as catalysts in molecular reactions because of their relatively high surface area (∼1000 m 2 /g) and wide pores . A majority of these materials are obtained in hydrothermal processes with organic templates. − The purely siliceous mesopores contain only silanol groups with low acidity and are rather catalytically nonactive.…”