Brans-Dicke corrections to the gravitational Sagnac effect

The {\it exact} formulation for the effect of the Brans-Dicke scalar field on the gravitational corrections to the Sagnac delay in the Jordan and Einstein frames is presented for the first time. The results completely agree with the known PPN factors in the weak field region. The calculations also reveal how the Brans-Dicke coupling parameter (appears in various correction terms for different types of source/observer orbits. A first order correction of roughly 2.83 x 10^{-1} fringe shift for visible light is introduced by the gravity-scalar field combination for Earth bound equatorial orbits. It is also demonstrated that the final predictions in the two frames do not differ. The effect of the scalar field on the geodetic and Lense-Thirring precession of a spherical gyroscope in circular polar orbit around the Earth is also computed with an eye towards the Stanford Gravity Probe-B experiment currently in progress. The feasibility of optical and matter-wave interferometric measurements is discussed briefly.Comment: 35 pages, 2 figures, pdf (from MSWord), accepted Physical Review D, January 2001. (revised from June 25, 2000 version

Synthesis, DFT and antioxidant studies of 2-(alkylamino)-4-(naphth-2-yl) thiazole

231-2362-(Alkylamino)-4-(naphth-2-yl)thiazoles have been synthesised from 2-bromoacetyl naphthalene and characterized by UV, IR, and 1H NMR. The geometry of the molecules is optimised using the Gaussian 09 software programme and the B3LYP/6-31G density functional theory (DFT) approach. The bond lengths, bond angles, and dihedral angles of 2- (alkyamino)-4-(naphth-2-yl)thiazoles have been studied. Vibrational bands to distinct structural groups and their relevance have been predicted using vibrational spectra analysis and shown to be reliable when compared to experimental data and with literature observations. Atomic charges have been estimated using the Mulliken population analysis. The charge transfer within the molecule is confirmed by the computed energy gap between the highest occupied molecular orbital (HOMO) and the lowest unoccupied molecular orbital (LUMO). The molecular docking study has been carried out