Some aspects of history of Indian mathematics in 18th and early 19th century

This thesis is an attempt to throw light on the works of some Indian Mathematicians who wrote in Arabic or persian In the Introductory Chapter on outline of general history of Mathematics during the eighteenth Bnd nineteenth century has been sketched. During that period there were two streams of Mathematical activity. On one side many eminent scholers, who wrote in Sanskrit, .he l d the field as before without being much influenced by other sources. On the other side there were scholars whose writings were based on Arabic and Persian text but who occasionally drew upon other sources also.

Phenylethynylarene Based Donor-Acceptor Systems: Design, Synthesis and Photophysical Studies

This thesis Entitled phenylethynylarene based Donor-Acceptor systems:Desigh,Synthesis and Photophysical studies. A strategy for the design of donor-acceptor dyads, wherein decay of the charge separated (CS) state to low lying local triplet levels could possibly be prevented, is proposed. In order to examine this strategy, a linked donor-acceptor dyad BPEPPT with bis(phenylethYlly/)pyrene (BPEP) as the light absorber and acceptor and phenothiazine (PT) as donor was designed and photoinduced electron transfer in the dyad investigated. Absorption spectra of the dyad can be obtained by adding contributions due 10 the BPEP and PT moieties indicating that the constituents do not interact in the ground stale. Fluorescence of the BPEP moiety was efficiently quenched by the PT donor and this was attributed to electron lransfer from PT to BPEP. Picosecond transient absorption studies suggested formation of a charge separated state directly from the singlet excited state of BPEP. Nanosecond flash photolysis experiments gave long-ived transient absorptions assignable to PT radical cation and BPEP radical anion. These assignments were confirmed by oxygen quenching studies and secondary electron transfer experiments. Based on the available data, energy level diagram for BPEP-PT was constructed. The long lifetime of the charge separated state was attributed to the inverted region effects. The CS state did not undergo decay to low lying BPEP triplet indicating the success of our strategy

Exploring oligo(p-phenylenevinylene) gelators as sensors and stimuli responsive materials

Gelation provides a unique medium, which often induces organization of molecules resulting in the modulation of their optical, morphological and electronic properties thereby opening a new world of fascinating materials with interesting physical properties at nano- meso- and macroscopic levels. Supramolecular gels based on linear π-systems have attracted much attention due to their inherent optical and electronic properties which find application in organic electronics, light harvesting and sensing. They exhibit reversible properties due to the dynamic nature of noncovalent forces. As a result, studies on such soft materials are currently a topic of great interest. Recently, researchers are actively involved in the development of sensors and stimuli-responsive materials based on self-assembled π-systems, which are also called smart materials. The present thesis is divided into four chapters

Design Of Metal Architectures: Synthesis And Study Of Their Photophysical And Biomolecular Recognition Properties

Design and study of molecular receptors capable of mimicking natural processes has found applications in basic research as well as in the development of potentially useful technologies. Of the various receptors reported, the cyclophanes are known to encapsulate guest molecules in their cavity utilizing various non–covalent interactions resulting in significant changes in their optical properties. This unique property of the cyclophanes has been widely exploited for the development of selective and sensitive probes for a variety of guest molecules including complex biomolecules. Further, the incorporation of metal centres into these systems added new possibilities for designing receptors such as the metallocyclophanes and transition metal complexes, which can target a large variety of Lewis basic functional groups that act as selective synthetic receptors. The ligands that form complexes with the metal ions, and are capable of further binding to Lewis-basic substrates through open coordination sites present in various biomolecules are particularly important as biomolecular receptors. In this context, we synthesized a few anthracene and acridine based metal complexes and novel metallocyclophanes and have investigated their photophysical and biomolecular recognition properties.