An algorithm for the single-input partial pole assignment problem

An algorithm for translating unstable eigenvalues of single-input partial pole assignment problems based on rank-one transformations is suggested. Special attention is paid to the practical case where translations are constructed using inexact spectral information provided by the Arnoldi procedure. Estimates of the resulting perturbations of stable and translated poles are derived. These estimates depend on the accuracy of spectral information about the unstable poles. The algorithm proposed is illustrated with numerical examples. Bibliography: 11 titles. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 229, 1995, pp. 5–28. Translated by A. Yu. Yeremin.     

Oxidation of 4-H-selenopyrans

Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 7, p. 996, July, 1991.     

Role of the 3d orbitals of sulfur in the thiapyrylium cation

The electronic structure of the thiapyrylium cation with allowance for and neglect of the 3d orbitals of sulfur was investigated by the self-consistent field MO LCAO method within the CNDO/2 (complete neglect of differential overlap) approximation. Inclusion of the 3d AO of sulfur in the basis leads to slight redistribution of the electron density to favor equalization of the charges on the carbon atoms. A qualitative correlation of the calculated populations of the atoms with the chemical shifts of the PMR spectrum of the thiapyrylium cation was obtained.Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 12, pp. 1627–1629, December, 1976.     

Thiapyrylium salts (review)

The literature data touching upon the synthesis of thiapyrylium salts and the stability of the thiapyrylium cation as compared with its isoelectronic analogs, as well as the nucleophilic, oxidation, anion-exchange, and other reactions of the salts with substituted and unsubstituted thiapyrylium cations are examined in this review.     

New method for the synthesis of sym- octahydroxanthenes and sym- octahydrothioxanthenes

-Ketols formed as a result of intramolecular cyclization of 1,5-diketones by alkaline condensation of aldehydes with ketones are converted to 9-R-sym-octahydroxanthenes by the action of acids. Treatment of the -ketols with acids in the presence of hydrogen sulfide leads to the corresponding 9-R-sym-octahydrothioxanthenes. The spectral characteristics of the compounds obtained are given, and some of their properties are described.Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 12, pp. 1615–1619, December, 1978.     

Investigation of the lability of furan and its derivatives in nucleophilic substitution reactions by the mindo/3 method

The a complexes of furan, thiophene, pyrrole, pyridine, and benzene with the hydride ion were calculated by the MINDO/3 method. The affinities of the indicated aromatic rings and a number of substituted furans for the H^– ion were estimated. It is shown that the relative magnitude of the affinity correlates qualitatively with the experimental data on the relative rates of the reaction of the examined compounds with nucleophilic reagents. The following order of increasing reactivities of unsubstituted aromatic rings was obtained: pyrrole相似文献   

Reaction of α-α'-dichloro-substituted 1,5-diketones with ammonia and ammonium acetate

Under the influence of ammonia or ammonium acetate, -'-dichloro-substituted 1,5-diketones undergo heterocyclization to give -chloropyridines or 2-benzoylpyrrole derivatives. The structure of the final product depends on the reagent and the character of the substituent in the 3 position of the starting dichloro diketones.Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 3, pp. 352–354, March, 1985.     

Crystal and molecular structure of dihydroxynaphthalene isomers. Effect of structure on ice-forming properties

Kiev State University and L. Ya. Karpov Physical Chemistry Research Institute. Translated from Zhurnal Strukturnoi Khimii, Vol. 31, No. 5, pp. 116–121, September–October, 1990.     

Study of the mechanism of recyclization of furans into thiophenes and selenophenes in conditions of acid catalysis. 5. Direction of protonation of furans

2,5-Dimethyl-3-D-furan was prepared for the first time. Its recyclization into the corresponding thiophene and selenophene was investigated. The possibility of -C-protonation of the furan ring was confirmed by experimental and quantum chemical data.See [1] for Communication 4.Scientific-Research Institute of Chemistry, N. G. Chernyshevskii Saratov State University, Saratov 410026. Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 8, pp. 1030–1034, August, 1997.