THE EXACT SOLUTIONS OF THE BURGERS EQUATION AND HIGHER-ORDER BURGERS EQUATION IN (2+1) DIMENSIONS

Some exact solutions of the Burgers equation and higher-order Burgers equation in (2+1) dimensions are obtained by using the extended homogeneous balance method. In these solutions there are solitary wave solutions, close formal solutions for the initial value problems of the Burgers equation and higher-order Burgers equation, and also infinitely many rational function solutions. All of the solutions contain some arbitrary functions that may be related to the symmetry properties of the Burgers equation and the higher-order Burgers equation in (2+1) dimensions.     

NMR Analysis of a Complex Spin System from a Siruo-Chamigrene

The compound 2,10-dibromo-3-chloro-8-hydroxy-β-chamigrene was analysed in detail by NMR Spectroscopy. the complete assignment of the signals in the ¹H and ¹³C NMR spectra and the determination of the relative configurations were achieved by 2D NMR techniques, AM1 data and ¹H spectrum simulation. Comparisons of the results with related spiro chamigrene systems are also presented.     

Quantitative Analysis of Acetazolamide in Solid Dosage Forms with 1H-Nmr Spectroscopy

A rapid and specific proton magnetic resonance spectroscopic method was developed for determining acetazolamide in tablets. Maleic acid was used as the internal standard and DMSO-d₆ served as the NMR solvent. the concentration of drug per unit dose was calculated from the integration values for the resonance signals of acetazolamide at 2.14 ppm and maleic acid at 6.20 ppm. the method using commercial products gave comparable results of those obtained by the method of USP XXIII.     

Vibrational Frequencies of 1,4-Dithiane-1-oxide (DTMSO)

Abstract

The Raman and infrared spectra of 1,4-dithiane-1-oxide are reported in the frequency region from 4000 to 130 cm^?1, for polycrystall ine samples. The observed bands are assigned on the assumption of a Cs chair form with axial conformation. The fundamental frequencies are discussed and compared with those of 1,4-dithiane, pentanethylene sulfoxide and 1,4-oxathiane-4-oxide, The vibrational coupling among skeletal and S=0 deformations is discussed.     

Conformational Analysis of (S)-4,5,6,7-Tetrahydro-5-Methylimidazo [4,5,1-jk][1,4]-Benzodiazepin-2(1H)-one (R78362)

The solution and solid state conformation of (S)-4,5,6,7-tetrahydro-5-methylimidazo [4,5,1-jk][1,4]-benzodiazepin-2(1H)-one (R78362) have been investigated by low temperature NMR and x-ray diffraction studies. The ¹H NMR spectrum of R78362 shows no evidence of the presence of multiple conformers in the temperature range 340K - 177K. Molecular mechanisms and semiempirical molecular orbital calculations suggest that the nitrogen and ring inversion barriers of R78362 are small and thus a time-averaged ¹H NMR spectrum is probably occurring at 298K. The x-ray diffraction data indicated that there were two independent molecules in the asymmetric unit of the crystal. The two molecules had similar conformations with the benzoimidazole ring being planar and the diazepine ring in a “half-chair” conformation.     

Assignment of the 1H and 13C NMR Chemical Shifts of (3,4-Dihydro-2H-pyran-5-yl)-oxo-acetic Acid Methyl Ester Using the Two Dimensional HMBC Technique

The identification of (3, 4-dihydro-2H-pyran-5-yl)-oxo-acetic acid methyl ester has been realized by combination of two dimensional HETCOR and HMBC techniques. ¹³C and ¹H chemical shifts asignements are described.     

NMR Studies of Drugs. Applications of Achiral and Chiral Lanthanide Shift Reagents to the Analgesic,Famprofazone: “Anomalous Shifts”

The 200 MHz ¹H NMR spectra of the analgesic, famprofazone, 1, have been studied in CDCl₃ solution at ambient temperatures with the achiral lanthanide shift reagent (LSR) tris (6, 6, 7, 7, 8, 8, 8-heptaf luoro-2, 2-dimethyl-3, 5-octanedionato) europium (III), Eu(FOD)₃, 2, for spectral simplification, and with the chiral LSR, tris [3-(heptafluoropropylhydroxymethylene) - (+) camphorato] europium (III), Eu (HFC)₃, 3. Lanthanide induced shift (LIS) magnitudes suggested predominant LSR binding at the carbonyl oxygen. Substantial enantiomeric shift differences were observed for several nuclei of 1 with added 3 which could permit direct determinations of enantiomeric excess.     

1H and C-13 Nuclear Magnetic Resonance of Tiaprofenic Acid

¹H-NMR spectrum of tiaprofenic acid in CDCI3 was obtained and proton chemical shifts from tetramethylsilane were assigned to each proton and set of equivalent protons of the molecule. The hydroxy proton of the carboxylic acid group was confirmed by deuterium exchange. The natural abundance C-13 nuclear magnetic resonance spectrum of the compound in CDCI3 was recorded using Fourier transorm technique. The chemical shifts of carbon resonances have been assigned on the basis of the chemical shift additivity theory and the signal multiplicity observed in the single frequency off-resonance decoupled (SFORD) spectrum. Also comparison with carbon chemical shifts of model compounds were useful.     

Pion mass dependence of the nucleon mass in the chiral quark soliton model

The dependence of the nucleon mass on the mass of the pion is studied in the framework of the chiral quark-soliton model. A remarkable agreement is observed with lattice data from recent full dynamical simulations. The possibility and limitations to use the results from the chiral quark soliton model as a guideline for the chiral extrapolation of lattice data are discussed.     

Superconducting property of Zr–Co and Zr–Co–Al alloys fabricated by rapid solidification

The superconducting property of Zr_(1−x)Co_x (x = 10–50 at.%) alloys and a Zr₅₅Co₃₀Al₁₅ bulk metallic glass fabricated using techniques of rapid solidification was investigated. The Zr₅₅Co₃₀Al₁₅ alloy crystallized by heat treatment in a vacuum atmosphere exhibited superconductivity of T_c,on = 2.4 K. This was attributable to the superconducting property of a crystalline Zr–Co alloy precipitated in the Zr₅₅Co₃₀Al₁₅ alloy. The T_c,on of the crystalline Zr_(1−x)Co_x alloy was sensitive to the Co content. The increase of Co content for the Zr_(1−x)Co_x alloy led to the decrease of T_c,on. The Zr_(1−x)Co_x alloy exhibited superconductivity of a maximum T_c,on = 3.9 K for the Zr₈₀Co₂₀ alloy with superconducting nanocrystal particles embedded in the amorphous matrix.