Double quantization of CP type orbits by generalized Verma modules

It is known that symmetric orbits in g^* for any simple Lie algebra g are equipped with a Poisson pencil generated by the Kirillov-Kostant-Souriau bracket and the reduced Sklyanin bracket associated to the “canonical” R-matrix. We realize quantization of the Poisson pencil CPⁿ type orbits (i.e. orbits in sl(n + 1)^* whose real compact form is CPⁿ) by means of q-deformed Verma modules.     

Electron spin-spin exchange coupling mediated by the porphyrin pi system

The syntheses and electron paramagnetic resonance (EPR) spectral characterizations of porphyrins (1-3) substituted with two radical groups bound to trans-meso positions are described. One of these compounds, 3, has been studied by variable-temperature magnetic susceptibility and has been structurally characterized. Biradical porphyrin 3 is monoclinic, space group P2(1)/n, with a = 12.239(2) A, b = 17.819(3) A, c = 34.445(7) A, alpha = 90 degrees , beta = 97.466(3) degrees , gamma = 90 degrees , and Z = 2. The bis(nitroxide) porphyrins 1 and 2 exhibit fluid solution EPR spectra consistent with |J| > |a|. No evidence was observed for conformational modulation of J by rotation about single bonds as shown by the lack of change of the EPR spectra as a function of temperature. The bis(semiquinone) porphyrin 3 exhibits frozen-solution EPR spectra with zero-field splitting and a Deltam(s) = 2 transition characteristic of a triplet state. The intensity of the Deltam(s) = 2 transition of 3 was measured as a function of temperature, and the data fit according to a singlet-triplet model to yield J(3,solution) = -75 cm(-1) (H = - 2J?1.?2). Polycrystalline samples of porphryin 3 were examined by variable-temperature magnetometry. The paramagnetic susceptibility data were fit using a modified Bleaney-Bowers equation to give J(3,solid) = -29 cm(-1) (H = - 2J?(1).?(2)). The antiferromagnetic J values are consistent with the pi topology of the porphyrin ring.     

Excess Molar Volumes and Excess Viscosities of the Ternary System Diethylamine(1) + Ethyl Acetate(2) + n-Heptane(3) at 25°C

Densities and viscosities were experimentally determined in the whole range ofcomposition at 25°C for the ternary system diethylamine(1) + ethyl acetate(2)+ n-heptane(3) and for the three corresponding binary systems. Excess molarvolumes and excess viscosities were calculated for the binaries and the ternarysystems. Results were fitted and predicted with expressions from the literatureand are analyzed to gain insight about liquid mixture interactions.     

Excess Molar Volumes and Excess Viscosities of the Propan-2-ol + Tetrahydrofuran + 1-Chlorobutane Ternary System at 25°C

Excess molar volumes and excess viscosities of the propan-2-ol + tetrahydrofuran+ 1-chlorobutane system have been determined at 25°C from measurements ofdensities and viscosities. Various expressions are proposed in the literature tocalculate these excess properties from binary data. The empirical correlation ofCibulka is shown to be the best in this system for excess volume, viscosity, andenergy of activation for viscous flow. An application to excess molar volumeshas been made by using Flory's theory. For viscosities, we applied the equations ofGrunberg and Nissan, Katti and Chaudhri, Bloomfield and Dewan, and Wu—andfinally the GC-UNIMOD model.     

Viscosities for Binary Mixtures of 1-Decanol, Hexane, and Diethylamine at 10, 25, and 40°C

Experimental viscosities provide information on the structure of liquids and are required in the design of processes, which involve fluid flow, mass transfer, or heat transfer calculations. This work reports experimental viscosity data of the binary mixtures: 1-decanol + hexane, 1-decanol + diethylamine, and hexane + diethylamine at 10, 25, and 40°C and atmospheric pressure for the whole range of compositions. The viscosities of the pure liquids and their mixtures were determined using Cannon Fenske viscometers thermostated at ±0.01°C. The estimated error in the measured viscosities was less than ±0.005 mPa-s. The dynamic viscosity and the excess energy of activation for viscous flow were also calculated. The equation of Redlich–Kister was used for fitting the excess properties of the binary mixtures. The excess viscosity shows positive deviations from ideal behavior for the mixtures 1- decanol + hexane and 1-decanol + diethylamine and a small negative deviation for the binary system hexane + diethylamine. The experimental results have been also used to test some empirical and semiempirical equations adopted previously to correlate viscosity composition data.