Acetylacetone complexes of tetravalent molybdenum

Some new complexes of tetravalent molybdenum containing acetylacetone have been synthesized by the reaction of acetylacetone with hydrated molybdenum(IV) oxide. Two series of complexes having varied coordination linkages for acetylacetone have been isolated under appropriate conditions. All the compounds were characterized through their elemental analyses, spectral data, magnetic moment and conductance measurement.     

On microbending loss calculations in single mode fibers with arbitrary index profiles

We present an analytical method to evaluate the auxiliary function and spot sizes determining microbending loss in single mode fibers with arbitrary refractive index profiles. Comparison with the exact numerical results shows that the present method gives very accurate results for spot sizes. The method is simple and requires relatively less computational effort.     

Finite quantum field theory and neutrinodynamics

In quantum neutrinodynamics (photon-neutrino weak coupling) all the renormalization constants vanish and therefore the field equations cannot be expressed in terms of unrenormalized field quantities. This helps us to formulate quantum neutrinodynamics as a convergent quantum field theory. It is also pointed out that from the viewpoint of the unified model of weak and electromagnetic interaction as developed on the basis of the photon-neutrino weak coupling by Bandyopadhyay, quantum electrodynamics also manifests itself as a convergent field theory.     

Rhenium. Part XVI. Ammine and pyridine compounds of zinc and cadmium containing coordinated perrhenate

Summary [Zn(NH₃)₄](ReO₄)₂ and [Cd(NH₃)₄](ReO₄)₂ have been prepared from M(ReO₄)₂ and aqueous ammonia. The tetrapyridine compounds [Zn(py)₄(ReO₄)₂] and [Cd(py)₄(ReO₄)₂] have been obtained by reacting M(NO₃)₂ with aqueous pyridine followed by the addition of HReO₄. Pyrolysis of these complexes gives [Zn(NH₃)₂(ReO₄)₂], [Cd(NH₃)₂(ReO₄)₂], [Zn(py)₂(ReO₄)₂] and [Cd(py)₂(ReO₄)₂] respectively. The kinetics of the decomposition steps: [ML₄(ReO₄)₂] [ML₂(ReO₄)₂] M(ReO₄)₂ have been studied from the t.g.a. curves. I.r. and Raman spectral and x-ray powder diffraction studies indicate that all the pyridine complexes and the two diammine complexes contain coordinated perrhenate, while the two tetrammine complexes contain ionic perrhenate.     

CO2 fixation by [WIVO(S2C2(CN)2)2]2?: functional model for the tungsten-formate dehydrogenase of Clostridium thermoaceticum

(NEt₄)₂[W^IVO(S₂C₂(CN)₂)₂] (1), isolated by reaction of Na₂ WO₄, Na₂S₂C₂(CN)₂ (Na₂mnt) in acidified (pH5.5) aqueous medium in the presence of excess of sodium dithionite and NEt₄Br, reduces CO₂/HCO ₃ ⁻ (pH 7.5) to yield HCOO⁻ and (NEt₄)₂[W^VIO₂(S₂C₂(CN)₂)₂] (2) mimicking tungsten-formate dehydrogenase (W-FDH) activity. (1) reacts with Na₂MoO₄ in acidic medium to produce [Mo^IvO(S₂C₂(CN)₂)₂]²⁻ implicating the displacement of tungsten by molybdenum from the cofactor complex in W-FDH.     

The cosmology of decaying gravitinos

We consider the cosmological constraints on unstable particles with masses O(m_W). Constraints from the energy density during primordial nucleosynthesis, from subsequent entropy generation, and from perturbations of the microwave background are not as restrictive as bounds from the dissociation of light elements. Most restrictive is the need to avoid over-production of D and ³He through the photo-dissociation of ⁴He. When applied to gravitinos, this bound imposes an upper limit of O(10⁸) GeV on the reheating temperature after inflation, which could create problems for baryosynthesis in supersymmetric theories. These problems can be avoided if the photino is heavier than the gravitino.     

Synchronization of an ensemble of oscillators regulated by their spatial movement

Synchronization for a collection of oscillators residing in a finite two dimensional plane is explored. The coupling between any two oscillators in this array is unidirectional, viz., master-slave configuration. Initially the oscillators are distributed randomly in space and their autonomous time-periods follow a Gaussian distribution. The duty cycles of these oscillators, which work under an on-off scenario, are normally distributed as well. It is realized that random hopping of oscillators is a necessary condition for observing global synchronization in this ensemble of oscillators. Global synchronization in the context of the present work is defined as the state in which all the oscillators are rendered identical. Furthermore, there exists an optimal amplitude of random hopping for which the attainment of this global synchronization is the fastest. The present work is deemed to be of relevance to the synchronization phenomena exhibited by pulse coupled oscillators such as a collection of fireflies.     

Vibrational spectroscopy of Cm-C/Cb-Cb stretching vibrations of copper tetramesityl porphyrin: An algebraic approach

Using Lie algebraic techniques and simpler expressions of the matrix elements of Majorana and Casimir operators given by us, we obtain an effective Hamiltonian operator which conveniently describes stretching vibrations of biomolecules. For a copper tetramesityl porphyrin molecule, the higher excited vibrational levels are calculated by applying the U(2) algebraic approach.