A remark on the maximum principle and stochastic completeness

We prove that the stochastic completeness of a Riemannian manifold is equivalent to the validity of a weak form of the Omori-Yau maximum principle. Some geometric applications of this result are also presented.

     

Synthesis and characterization of transition metal complexes of N′-[(1,5-dimethyl-3-oxo-2-phenyl-2,3-dihydro-1H-pyrazol-4-yl)methylene]thiophene-2-carbohydrazide

A hydrazone ligand (HL) containing the thiophene moiety has been prepared via condensation of thiophene-2-carbohydrazide with 1,5-dimethyl-3-oxo-2-phenyl-2,3-dihydro-1H-pyrazole-4-carbaldehyde. The complexes of copper(II), nickel(II), cobalt(II), manganese(II), zinc(II), palladium(II), iron(III), ruthenium(III), uranyl(VI), and titanium(IV) with the ligand were prepared in good yield from the reaction of the ligand with the corresponding metal salts. The ligand and complexes were characterized using infrared, mass spectra, nuclear magnetic resonance, electronic absorption spectra, electron spin resonance, and magnetic moment measurements as well as elemental and thermal analyses. The results showed that the complexes are enolic by nature, whilst the ratio between the metal ion and the ligand depends on the acidity of the metallic ions and their oxidation numbers.     

Synthesis and pharmacological evaluation of 9(10H)-acridone bearing 1,3,4-oxadiazole derivatives as antimicrobial agents

In the present study a new acridone derivatives were synthesized. The newly synthesized compounds were characterized by IR, NMR and C, H, N, S analyses. All newly synthesized compounds were screened for their antibacterial (Staphylococcus aureus, Streptococcus viridans and Escherichia coil) and antifungal (Gibberela, Cercospora arachidicola, Physolospora piricola and Fusarium oxysporum) studies. The results revealed that all synthesized compounds have a significant biological activity against the tested microorganisms.     

Dynamic kinetic resolution of α-chloro β-keto esters and phosphonates: hemisynthesis of Taxotere® through Ru-DIFLUORPHOS asymmetric hydrogenation

The dynamic kinetic resolution (DKR) of racemic α-chloro β-ketoesters and α-chloro β-ketophosphonates through ruthenium-mediated asymmetric hydrogenation is reported. The corresponding α-chloro β-hydroxyesters and α-chloro β-hydroxyphosphonates were obtained in good to high enantio- and diastereomeric excesses using, in particular, the atropisomeric ligand DIFLUORPHOS. This methodology allowed an efficient preparation of the anti phenylisoserine side chain of Taxotere® which has been used for the hemisynthesis of the cancer therapeutic agent itself. In addition, ¹³C NMR in chiral oriented solvents was used to investigate the DKR effect.     

II. “Spectroscopic Investigation of Charge Transfer Complexes of Osazone Intermediates Prepared From certain monosaccharides”

Monosaccharide osazones are utilized in the spectrophotometric determination of their parent compounds through charge transfer complexes (CTC) formation with three-electron acceptor reagents. These acceptors indlude iodine (as -π-acceptor) and chloranil (tetrachloro P-benzoquinone) & TCNE (tetracyano ethylene) as π-acceptors. The presence of two phenylhydrazone moieties in the osazone molecule imparts electron-donating properties toward electron-accepting reagents, yielding spectrophotometrically measurable complexes. However, the reaction of osazone intermediates with TCNE reagent gave tricyanovinyl derivative rather than CTC formation. The above complexes together with their corresponding intermediates were subjected to structure elucidation studies to confirm the results and conclusions obtained. These studies include IR, Raman spectra, H¹, C¹³-NMR, MS, ESR (electron spin resonance spectra) and microanalysis.     

Spectroscopic and conductometric studies on someSchiff bases

Summary The electronic absorption spectra of someSchiff bases derived from 3-amino-1,2,4-triazole have been investigated in organic solvents of different polarities. Assignment of the absorption bands, solvent effects, and spectral structure correlations are considered. The fundamental IR bands and the main signals in the¹H NMR spectra are assigned and discussed with respect to the effect of substituents on the phenyl ring. A change of the electrical conductance of the compounds with increasing temperature is observed for the solid samples.

---

Spektroskopische und konduktometrische Untersuchungen einigerSchiffscher Basen

Zusammenfassung Die UV/Vis-Spektren einiger von 3-Amino-1,2,4-triazol abgeleiteterSchiffscher Basen wurden in Lösungsmitteln unterschiedlicher Polarität bezüglich Zuordnung der Banden, Lösungsmitteleffekten und Spektrum-Struktur — Korrelationen untersucht. Die wesentlichen IR- und¹H-NMR — Signale wurden zugeordnet und werden mit Substituenteneffekten in Beziehung gesetzt. Im Festzustand zeigen die Proben eine Änderung der elektrischen Leitfähigkeit mit steigender Temperatur.

     

Mixed ligand transition metal complexes of tertiary phosphines and 5-phenyl-l,3,4-oxadiazole-2-thione

Transition metal complexes containing two types of ligands: 5-phenyl-1,3,4-oxadiazole-2-thione ion (L) and tertiary phosphines, have been prepared. The complexes, [ML₂A₂] [M = Pd or Pt; A = PPh₃ or Ph₂PCH₂CH₂P(O)Ph₂] and [ML₂B] (M = Co, Ni, Pd or Pt; B = Ph₂PCH₂PPh₂ or Ph₂PCH₂CH₂PPh₂), were characterized by elemental analysis, molar conductance, i.r., u.v.–vis., ³¹P-n.m.r., magnetic susceptibility measurements and mass spectra.     

Study of tau decays to six pions and a neutrino

The tau decays to six-pion final states have been studied with the CLEO detector at the Cornell Electron Storage Ring. The measured branching fractions are B(tau(-)-->2pi(-)pi(+)3pi(0)nu(tau)) = (2.2+/-0.3+/-0.4)x10(-4) and B(tau(-)-->3pi(-)2pi(+)pi(0)nu(tau)) = (1.7+/-0.2+/-0.2)x10(-4). A search for substructure in these decays shows that they are saturated by intermediate states with eta or omega mesons. We present the first observation of the decay tau(-)-->2pi(-)pi(+)omega(nu)tau and the branching fraction is measured to be (1.2+/-0.2+/-0.1)x10(-4). The measured branching fractions are in good agreement with the isospin expectations but somewhat below the conserved-vector-current predictions.     

Norfloxacin dihydrate

The antibiotic norfloxacin recrystallizes from aceto­nitrile as a dihydrate with the norfloxacin mol­ecule in a zwitterionic form, i.e. 1‐ethyl‐6‐fluoro‐1,4‐di­hydro‐4‐oxo‐7‐(1‐piperazin‐4‐io)‐3‐quinoline­carboxyl­ate dihydrate, C₁₆­H₁₈­F­N₃­O₃·­2H₂O.