Metathesis of allylsilanes with aromatic substituents

Conclusions The feasibility was demonstrated for the efficient metathesis of phecyltolyl- and benzylallylsilanes on an alumorhenium catalyst promoted by tetrabutyltin. The metathesis of aryldimethylallylsilanes or aralkyldimethylallylsilanes is a preparative method for the synthesis of 1,4-bis(aryldimethylsilyl)-2-butenes or 1,4-bis(aralkyldimethylsilyl)-2-butenes.Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 9, pp. 2121–2123, September, 1984.     

Approximate number projection at finite temperature

The approximate particle number projection method based on an idea of the famous Lipkin — Nogami approximation is developed in the framework of the thermo field dynamics.     

Reaction of 1,3,5-triphenylverdazyl with bromodicyanomethane

Chemistry of Heterocyclic Compounds -     

Semi-microscopic calculation of the level density in spherical nuclei

The level density at the neutron binding energy for 90 spherical nuclei in the interval 50 < A < 205 is calculated by a method of direct counting of the number of states taking into account collective vibrational excitations. The results of calculations are in satisfactory agreement with the experimental data. The difference in the level density of doubly even and odd-A nuclei is correctly described. The effect of nuclear vibrations on the level density is studied, and it is shown that the account of them leads to an increase in the density by a factor of 1.5–10 and to a decrease in the density fluctuations. It is also studied how the level density depends on excitation energy. With increasing excitation energy, our results come nearer the corresponding values obtained by the statistical model. It is found that the density fluctuations decrease with increasing excitation energy but remain still strong at the neutron binding energy for nuclei with A = 50–70 and for nuclei around closed shells. The density ρ(I^π) is studied as a function of spin and parity. It is shown that at the neutron binding energy the ratio $\text{ρ(I}{}^{\mathrm{+}}\text{)}\text{ρ(I}{}^{\mathrm{?}}\text{)}$ is different from unity for the majority of nuclei. This difference is especially striking for ⁵⁷Fe and ⁵⁸Fe nuclei.