Two Hadamard matrices of order 956 of Goethals-Seidel type

No Hadamard matrices of order 956 appear in the literature. In this note we construct two such matrices. They are both of Goethals-Seidel type. As a consequence of this and of a result of Seberry and Yamada, we conclude that there exist 4-Williamson type matrices of order 1913.This work was supported by NSERC of Canada Grants A-5285 and EQP0107539.     

Strong isochronism of two-dimensional reversible cubic systems

We obtain the maximum order of strong isochronism of reversible cubic systems on the plane.     

Design,synthesis, and characterization of fullerene–peptide–steroid covalent hybrids

The present study reports the synthesis, spectral characterization, self-assembly properties, and preliminary in vitro study of antioxidant capacity of two triple covalent hybrids consisting of fullerene C₆₀, peptide, and steroidal moiety. Previously synthesized fulleropyrrolidinic acid and pregnenolone were connected by peptide linker using a multistep DCC/DMAP and/or EDC/HOBT esterification/amidation procedure. The hybrids were characterized by comparative analysis of spectroscopic data obtained from FTIR, UV–vis, HRMS, and extensive NMR experiments (¹H, ¹³C, COSY, HSQC, and HMBC). The self-assembling properties and morphology of triads samples prepared by drop-drying method were examined by scanning electron microscopy (SEM). Preliminary in vitro antioxidant activity was studied by Ferrous ion Oxidation-Xylenol orange (FOX) method.     

Symmetry-Breaking Charge-Transfer Chromophore Interactions Supported by Carbon Nanodots

Carbon dots (CDs) and their derivatives are useful platforms for studying electron-donor/acceptor interactions and dynamics therein. Herein, we couple amorphous CDs with phthalocyanines (Pcs) that act as electron donors with a large extended π-surface and intense absorption across the visible range of the solar spectrum. Investigations of the intercomponent interactions by means of steady-state and pump-probe transient absorption spectroscopy reveal symmetry-breaking charge transfer/separation and recombination dynamics within pairs of phthalocyanines. The CDs facilitate the electronic interactions between the phthalocyanines. Thus, our findings suggest that CDs could be used to support electronic couplings in multichromophoric systems and further increase their applicability in organic electronics, photonics, and artificial photosynthesis.     

Novel tetradentate diamine dioxime ligands: synthesis,characterization and in vivo behavior of their 99mTc‐complexes

Two novel diamine dioxime ligands, 4,7‐diaza‐3,8‐diethyldecane‐2,9‐dione bis oxime (3) and 4,9‐diaza‐3,10‐diethyldodecane‐2,11‐dione bis oxime (5), were synthesized in order to develop new brain perfusion imaging agents, based on ^99mTc(V)‐complexes. The synthesis involved condensation of 2‐hydroxyimino‐3‐pentanone with appropriate diamine in protic solvent which afforded the bis imine adducts. Subsequent reduction of imine functional groups yielded a diastereoisomeric mixture of 3 and 5. UV–visible, IR, ¹H NMR, ¹³C NMR and elemental analysis were used to characterize the structures of the synthesized compounds. ^99mTc‐complexes of both diamine dioximes were prepared and radiolabeling conditions optimized to give the maximum yield. Physicochemical parameters of the labeled complexes as well as and their biodistribution in rats were investigated. Both compounds (3 and 5) formed ^99mTc‐complexes with a net charge of zero, determined by electrophoresis. The resultant lipophilic ^99mTc‐complexes of 3 and 5 were readily formed at pH ~9.0 within 10 min at room temperature with yields of 90% and 95%, respectively. The ^99mTc‐3 complex was found to be stable within 1 h, while ^99mTc‐5 was stable for a few hours. A significant brain uptake of ^99mTc‐3 (2.1% injected dose) and ^99mTc‐5 (1.8% injected dose) complexes, 2 min after injection, is in accordance with their lipophilicity. The present study suggests that both ligands are promising candidates as new ^99mTc‐based brain‐imaging agents. Copyright © 2012 John Wiley & Sons, Ltd.     

Strong isochronism of polynomial reversible dynamical systems on the plane with homogeneous nonlinearities of degree 4

We find the maximum order and initial polar angle of strongly isochronous two-dimensional polynomial reversible systems with homogeneous nonlinearities of the fourth degree.     

Ultradistributional boundary values of harmonic functions on the sphere

We present a theory of ultradistributional boundary values for harmonic functions defined on the Euclidean unit ball. We also give a characterization of ultradifferentiable functions and ultradistributions on the sphere in terms of their spherical harmonic expansions. To this end, we obtain explicit estimates for partial derivatives of spherical harmonics, which are of independent interest and refine earlier estimates by Calderón and Zygmund. We apply our results to characterize the support of ultradistributions on the sphere via Abel summability of their spherical harmonic expansions.     

Mechanism of sorption of pertechnetate onto ordered mesoporous carbon

Ordered mesoporous carbon (OMC) was used as an adsorbent for the removal of pertechnetate (TcO₄ ^?) anion. The maximum uptake (93 %) of TcO₄ ^? was obtained after 60 min of contact. The adsorption of TcO₄ ^? is almost pH-independent in very wide pH region (from 4.0 to 10.0). Maximum K _d of 6.6 × 10³ cm³ g^?1 was found at pH 2.0. TcO₄ ^? interacts with carboxylic functional groups present at the surface of the OMC by displacing the OH^? ions with TcO₄ ^? via ion exchange mechanism.