The olefinic carbon chemical shift tensors of trans-stilbene-R,â-C2 (1) and (trans-stilbene-R,â-C2)[bis(triphenylphosphine)]platinum(0) (2) have been characterized by solid-state 13C NMR spectroscopy. Analyses of the 13C NMR spectra obtained for stationary powder samples of 1 and 2 at 4.7 and 9.4 T yield the principal components of the carbon chemical shift tensors. The presence of a homonuclea...

in this paper, we first show that the tensor product of a finite number of standard g-frames (resp. fusion frames, frames) is a standard g-frame (resp. fusion frame, frame) for the tensor product of hilbert $c^ast-$ modules and vice versa, then we consider tensor products of g-bessel multipliers, bessel multipliers and bessel fusion multipliers in hilbert $c^ast-$modules. moreover, we obtain so...

consider the following consistent sylvester tensor equation[mathscr{x}times_1 a +mathscr{x}times_2 b+mathscr{x}times_3 c=mathscr{d},]where the matrices $a,b, c$ and the tensor $mathscr{d}$ are given and $mathscr{x}$ is the unknown tensor. the current paper concerns with examining a simple and neat framework for accelerating the speed of convergence of the gradient-based iterative algorithm and ...

Periodic-boundary and cluster calculations of the magnetic-shielding tensors of (119)Sn sites in various co-ordination and stereochemical environments are reported. The results indicate a significant difference between the predicted NMR chemical shifts for tin(ii) sites that exhibit stereochemically-active lone pairs and tin(iv) sites that do not have stereochemically-active lone pairs. The pre...

In this paper, we obtain a necessary and sufficient condition for a conformal mapping between two Weyl manifolds to preserve Einstein tensor. Then we prove that some basic curvature tensors of $W_n$ are preserved by such a conformal mapping if and only if the covector field of the mapping is locally a gradient. Also, we obtained the relation between the scalar curvatures of the Weyl manifolds r...

Introduction: Unwanted exposure of ionizing radiation may result in carcinogenesis, cell mutations, and organ failure. High-atomic number elements such as lead, tungsten, bismuth have been traditionally used for radiation protection. Theoretical and practical studies have shown that a variety of shielding materials e.g. polymer composites (PCs) can be used for attenuation of th...

We present a solid-state NMR study of H2 molecules confined inside the cavity of C70 fullerene cages over a wide range of temperatures (300 K to 4 K). The proton NMR spectra are consistent with a model in which the dipole-dipole coupling between the ortho-H2 protons is averaged over the rotational/translational states of the confined quantum rotor, with an additional chemical shift anisotropy δ...

The model of Mason, Polnaszek, and Freed for ESR-slow-tumbling spectra is extended to the case of NMR line shapes for arbitrary tilt of the internal axis of relatively rapid rotation with respect to the principal axes of the chemical shielding tensor for a decoupled I = 1 / 2 nucleus. The theory is applied to an analysis of 31P NMR spectra from partially hydrated dipalmitoylphosphatidylcholine ...

A radiative transfer scheme is presented, based on a moment description of the equation of radiative transfer and the so–called “M1 closure model” for the Eddington tensor. This model features a strictly hyperbolic transport step for radiation : it has been implemented using standard Godunov–like techniques in a new code called ATON. Coupled to simple models of ionization chemistry and photo-he...