The detection of cyclodextrin self-association by titration with dyes

A simple procedure is proposed for the detection of association of cyclodextrins (CDs) and their derivatives in aqueous solutions by analyzing the curves of titration of these substances with dyes. Dissociation constants of cyclodextrin-dye complexes and concentrations of sites involved in the complexation are determined by the nonlinear regression analysis. The processes of CD association were characterized using deviations of the function of CD saturation with ligands from a simple scheme CD + ligand ? complex. Two association mechanisms were disclosed: cooperative association (for α-CD and dihydroxypropyl-β-CD) and step association (for β-CD, dimethyl-β-CD, hydroxypropyl-β-CD, and γ-CD). In the case of stepwise-associating compounds, association constants for head groups of cyclodextrins are found to vary from 3 × 10³ to 8 × 10³ M^?1. The titration data on CD association are confirmed by studying solutions of the above compounds using dynamic light scattering.     

Coherent states of theq-Weyl algebra

New coherent states of theq-Weyl algebraAA –qA A = 1,0 <q < 1, are constructed. They are defined as eigenstates of the operatorA which is the lowering operator for nonhighest weight representations describing positive energy states. Depending on whether the positive spectrum is discrete or continuous, these coherent states are related either to the bilateral basic hypergeometric series or to some integrals over them. The free particle realization of theq-Weyl algebra whenA A d²/dx² is used for illustrations.On leave of absence from the Institute for Nuclear Research, Russian Academy of Sciences, Moscow, Russia.     

Laser and thermal processing for Ti:LiNbO3 waveguide fabrication

Ti diffusion into LiNbO₃ single crystal was studied as a result of Ruby laser irradiation of a metallic Ti thin film covering the crystal surface and subsequent thermal processing in a furnace. Different regimes of irradiation and heating were used. SIMS analysis was employed for investigation of the treatment. The combined method used proved to be able to form waveguides of 3–4 m thickness.     

Analytical probability distribution function for a one-dimensional anharmonic oscillator in thermal equilibrium

A simple closed formula is proposed for the probability distribution function of a one-dimensional anharmonic oscillator in thermal equilibrium. It is shown that this formula yields a plausible approximation for the distribution function over wide ranges of the parameter θ = hcωelkT and the degree of anharmonicity. A more general formula with extended limits of applicability is also considered.     

A study of pyridine adsorption on supported vanadium-aluminium catalysts by IR and UV spectroscopy

The acidic properties of supported vanadium-aluminum catalysts have been studied by the IR and UV spectroscopy of adsorbed pyridine. Introduction of vanadium ions does not result in the appearance of acidity of the Brönsted type in the temperature range under study (25–500°C). The adsorption of pyridine on samples containing large amounts of V₂O₅ reversibly increases the transmission in the IR region, which is due to the decrease of current carrier concentration. On pure Al₂O₃, pyridine is oxidized beginning with 400°C; V₂O₅ decreases the temperature of the beginning of oxidation to 200–300°C.

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- . (25°–500°C). , V₂O₅, -, . Al₂O₃ 400°C , V₂O₅ 200–300°C.

     

Application of the effective harmonic oscillator method to computing the thermal averages for a system of coupled anharmonic oscillators

By treating the Hamiltonian for coupled oscillators with polynomial anharmonicity by the Gibbs-Bogoliubov inequality, the effective harmonic oscillator (EHO) method is developed and applied to computing the thermal averages for polyatomic molecules. Practical utility is demonstrated with calculations of electron diffraction quantities, namely the distance r_a and amplitude l, and of the vibrational partition functions for CO₂, CS₂, SO₂ and H₂O from spectroscopic data on the force fields. The results are compared with those in the literature obtained by more accurate techniques. A comparison of r_a and l was also made with the results of electron diffraction measurements.     

Electron diffraction study and CNDO/2 calculations on the complex of aluminium trichloride with ammonia,Cl3Al.NH3

The molecular geometry of the complex of aluminium trichloride with ammonia, Cl₃Al.NH₃, has been studied by electron diffraction. The most important internuclear distances in terms of r_a parameters are as follows: r(Al-Cl) = 2.100±0.005 Å, r(Al-N) = 1.996±0.019 Å, r(Cl·Cl) = 3.569±0.011 Å and r(Cl·N) = 3.165±0.012 Å. The Cl-Al-Cl bond angle in terms of an approximate r_a structure is 116.9°. The assumptions of a staggered model in the structure analysis was justified by CNDO/2 calculations. The experimental data indicate strong linkage between the donor and acceptor parts. The flat pyramidal average configuration of the AlCl₃ part of the complex suggests planar equilibrium structure for free AlCl₃. Variations in the bond configurations of the donor and acceptor parts, as compared with those of the respective free molecules, are discussed.     

Synthesis of 3-nitro-3-azalk-2-yl ethers

PrimaryN-nitramines react with vinyl ethers to give 3-nitro-3-azalk-2-yl ethers. Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 3, pp. 621–623, March, 1999.