2,533 research outputs found
Bu4N(+) Alkoxide-Initiated/Autocatalytic Addition Reactions with Organotrimethylsilanes.
The use of Me3SiO(-)/Bu4N(+) as a general activator of organotrimethylsilanes for addition reactions has been established. The broad scope of the method offers trimethylsilanes (including acetate, allyl, propargyl, benzyl, dithiane, heteroaryl, and aryl derivatives) as bench-stable organometallics that can be readily utilized as carbanion equivalents for synthesis. Reactions are achieved at rt without the requirement of specialized precautions that are commonplace for other organometallics
A multidimensionally consistent version of Hirota's discrete KdV equation
A multidimensionally consistent generalisation of Hirota's discrete KdV
equation is proposed, it is a quad equation defined by a polynomial that is
quadratic in each variable. Soliton solutions and interpretation of the model
as superposition principle are given. It is discussed how an important property
of the defining polynomial, a factorisation of discriminants, appears also in
the few other known discrete integrable multi-quadratic models.Comment: 11 pages, 2 figure
Third-order nonlinear optical properties of stacked bacteriochlorophylls in bacterial photosynthetic light-harvesting proteins
Enhancement of the nonresonant second order molecular hyperpolarizabilities {gamma} were observed in stacked macrocyclic molecular systems, previously in a {micro}-oxo silicon phthalocyanine (SiPcO) monomer, dimer and trimer series, and now in bacteriochlorophyll a (BChla) arrays of light harvesting (LH) proteins. Compared to monomeric BChla in a tetrahydrofuran (THF) solution, the <{gamma}> for each macrocycle was enhanced in naturally occurring stacked macrocyclic molecular systems in the bacterial photosynthetic LH proteins where BChla`s are arranged in tilted face-to-face arrays. In addition, the {gamma} enhancement is more significant in B875 of LH1 than in B850 in LH2. Theoretical modeling of the nonresonant {gamma} enhancement using simplified molecular orbitals for model SiPcO indicated that the energy level of the two photon state is crucial to the {gamma} enhancement when a two photon process is involved, whereas the charge transfer between the monomers is largely responsible when one photon near resonant process is involved. The calculated results can be extended to {gamma} enhancement in B875 and B850 arrays, suggesting that BChla in B875 are more strongly coupled than in B850. In addition, a 50--160 fold increase in <{gamma}> for the S{sub 1} excited state of relative to S{sub 0} of bacteriochlorophyll in vivo was observed which provides an alternative method for probing excited state dynamics and a potential application for molecular switching
Validation of gyrokinetic modelling of light impurity transport including rotation in ASDEX Upgrade
Upgraded spectroscopic hardware and an improved impurity concentration
calculation allow accurate determination of boron density in the ASDEX Upgrade
tokamak. A database of boron measurements is compared to quasilinear and
nonlinear gyrokinetic simulations including Coriolis and centrifugal rotational
effects over a range of H-mode plasma regimes. The peaking of the measured
boron profiles shows a strong anti-correlation with the plasma rotation
gradient, via a relationship explained and reproduced by the theory. It is
demonstrated that the rotodiffusive impurity flux driven by the rotation
gradient is required for the modelling to reproduce the hollow boron profiles
at higher rotation gradients. The nonlinear simulations validate the
quasilinear approach, and, with the addition of perpendicular flow shear,
demonstrate that each symmetry breaking mechanism that causes momentum
transport also couples to rotodiffusion. At lower rotation gradients, the
parallel compressive convection is required to match the most peaked boron
profiles. The sensitivities of both datasets to possible errors is
investigated, and quantitative agreement is found within the estimated
uncertainties. The approach used can be considered a template for mitigating
uncertainty in quantitative comparisons between simulation and experiment.Comment: 19 pages, 11 figures, accepted in Nuclear Fusio
Hydrodynamic reductions of the heavenly equation
We demonstrate that Pleba\'nski's first heavenly equation decouples in
infinitely many ways into a triple of commuting (1+1)-dimensional systems of
hydrodynamic type which satisfy the Egorov property. Solving these systems by
the generalized hodograph method, one can construct exact solutions of the
heavenly equation parametrized by arbitrary functions of a single variable. We
discuss explicit examples of hydrodynamic reductions associated with the
equations of one-dimensional nonlinear elasticity, linearly degenerate systems
and the equations of associativity.Comment: 14 page
Dried tuna for export as a small scale industry in Andhra Pradesh
Yellowfin tuna (Thunnus albacares) formed an average
33.5% of the total tuna catch of Andhra Pradesh, during
the past decade. Fishing grounds for yellowfin tuna
off northern Andhra Pradesh at depths of 200 m and
more are gainfully exploited by the local fishers since
2002 using motorized crafts (theppas) with hooks and
lines and trolls. Since 2006 a few mechanized trawlers
were also converted to long liners for catching tunas
Akns Hierarchy, Self-Similarity, String Equations and the Grassmannian
In this paper the Galilean, scaling and translational self--similarity
conditions for the AKNS hierarchy are analysed geometrically in terms of the
infinite dimensional Grassmannian. The string equations found recently by
non--scaling limit analysis of the one--matrix model are shown to correspond to
the Galilean self--similarity condition for this hierarchy. We describe, in
terms of the initial data for the zero--curvature 1--form of the AKNS
hierarchy, the moduli space of these self--similar solutions in the Sato
Grassmannian. As a byproduct we characterize the points in the Segal--Wilson
Grassmannian corresponding to the Sachs rational solutions of the AKNS equation
and to the Nakamura--Hirota rational solutions of the NLS equation. An explicit
1--parameter family of Galilean self--similar solutions of the AKNS equation
and the associated solution to the NLS equation is determined.Comment: 25 pages in AMS-LaTe
Marine Fishery Resources of Andhra Pradesh
Andhra Pradesh with a coastline of 974 km encompassing 9 coastal districts has had a long
history of fishing. Starting with traditional fishing in ancient times to the modern, technology-intensive
fishing, the marine fisheries sector of the state has grown tremendously reaching record landings of
3.42 lakh tonnes in 2014. The state has 555 marine fishing villages with 353 marine fish landing centres
(CMFRI Marine Fisheriers Census, 2010). There are two major fishing harbors at Visakhapatnam and
Kakinada where bulk of total trawl catch (nearly 70%) is landed and three minor fishing harbors at
Bhairavapalem, Machilipatnam and Nizamapatnam. The marine fishermen population of the state is
more than 6 lakhs with roughly a quarter of them, being acive in fishery related activities throughout the
year. There are 31,741 fishing crafts in the marine fisheries of Andhra pradesh (CMFRI Marine Fisheriers
Census, 2010). The marine fisheries sector, at present, is an important source of employment and
income generation in the state, but is plagued with several problems. As because, this sector is vulnerable
to external influences viz., overexploitation of marine resources, environmental degradation and climate
change, efficient management is the need of the hour
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