Andre\overset{\lower0.5em\hbox{ Viktorovich Gaponov-Grekhov (On his 75th birthday)

Chronicle

Andre $\overset{\lower0.5em\hbox{$\overset{\lower0.5em\hbox{ Viktorovich Gaponov-Grekhov (On his 75th birthday)     

On dominatedl 1 metrics

We introduce and study a classl ₁ ^dom (ρ) ofl ₁-embeddable metrics corresponding to a given metric ρ. This class is defined as the set of all convex combinations of ρ-dominated line metrics. Such metrics were implicitly used before in several constuctions of low-distortion embeddings intol _p -spaces, such as Bourgain’s embedding of an arbitrary metric ρ onn points withO(logh) distortion. Our main result is that the gap between the distortions of embedding of a finite metric ρ of sizen intol ₂ versus intol ₁ ^dom (ρ) is at most , and that this bound is essentially tight. A significant part of the paper is devoted to proving lower bounds on distortion of such embeddings. We also discuss some general properties and concrete examples. Research by J. M. supported by Charles University grants No. 158/99 and 159/99. Part of the work by Y. R. was done during his visit at the Charles University in Prague partially supported by these grants, by the grant GAČR 201/99/0242, and by Haifa University grant for Promotion of Research.     

Cobalt tris(mercaptoimidazolyl)borate complexes: synthetic studies and the structure of the first cobaltaboratrane

The paramagnetic complexes (TmtBu)CoX (X = Cl, Br, I) have been readily prepared and structurally characterized and provide a convenient entry into cobalt(II) tris(mercaptoimidazolyl)borate chemistry. A number of derivatives, including mononuclear triphenylphosphine adducts [(TmtBu)Co(PPh3)]X and dinuclear compounds [Co2(TmtBu)2X]Y, have been prepared in order to ascertain whether cobalt is a reliable surrogate for zinc in biological systems, particularly in sulfur-rich coordination environments. The structure of the first cobaltaboratrane is also reported.     

Synthesis and characterization of two new bulky tris(mercaptoimidazolyl)borate ligands and their zinc and cadmium complexes

The sodium salts of the tris(2-mercapto-1-benzylimidazolyl)borate [Tm^Bz]⁻ and tris(2-mercapto-1-p-tolylimidazolyl)borate [Tm^p-Tol]⁻ anions have been readily prepared in very good yield from NaBH₄ and 2-mercapto-1-benzylimidazole or 2-mercapto-1-p-tolylimidazole, respectively. These new monoanionic tripodal sulfur-donor ligands have been used to prepare the Group 12 derivatives (Tm^R)MBr (M=Zn, Cd; R=Bz, p-Tol), all of which have been characterized by a combination of analytical and spectroscopic techniques, including electrospray ionization mass spectrometry (ESI MS) and, in the case of both benzyl-substituted derivatives, single-crystal X-ray diffraction.     

Scaling Up of Non-Thermal Gliding Arc Plasma Systems for Industrial Applications

Plasma Chemistry and Plasma Processing - Scaling up of transitional “warm” plasmas to industrial level gives possibility to develop plasma systems that combine advantages of thermal and...     

Effect of adsorbate vibrations on adsorption isotherms in slit-like pores

A molecular model of adsorbate melting in slit-like pores [1] is used to calculate adsorption isotherms with regard to the contribution from vibrational motions of the adsorbate. The equations are based on discrete distribution functions (the lattice gas model). Molecular distributions are calculated in a quasi-chemical approximation reflecting the effects of direct correlations of interacting particles using the Lennard-Jones potential. The vibrational motion of molecules is taken into account using a modified quasi-dimer Mie model. It is shown that considering vibrations shifts the adsorption isotherms in the chemical potential-density coordinates to higher vapor pressures in the region of high filling. This is due to the need for additional compression of the vapor to transfer it into the adsorbed state with increased kinetic energy.     

Demonstration of a mode-conversion cavity add-drop filter

We experimentally demonstrate a new type of add-drop filter incorporating an asymmetric Y-branch waveguide coupler and a shifted-grating mode-conversion cavity. The device relies on mode separation in the asymmetric Y-branch and wavelength-selective mode conversion upon reflection from the shifted-grating cavity. Add-drop functionality is demonstrated in a three-port integrated silicon-on-insulator device.