Major subgroups of nilpotent-by-finite groups

The major subgroups of a group G and their intersection (G) were introduced in [1] as a variation on maximal subgroups and the Frattini subgroup of G. In particular, we have proved in [1–4] a number of results of the form: if G/(G) has property X then G has property X. The property X may be that of being hypercentral or hypercyclic or of having some finiteness condition. These results, of course, require some restriction on the group G.Published in Ukrainskii Matematicheskii Zhurnal, Vol. 44, Mo. 6, pp. 853–856, June, 1992.     

Incoherent inelastic neutron scattering studies of potassium bicarbonate and caesium hydrogen dinitrate

Inelastic neutron scattering spectra of KHCO₃ and CsH(NO₃)₂ have been obtained in the region 400 → 2400 and 400 → 2800 cm^?1 respectively. The in- and out-of-phase bending vibrations of the hydrogen bonds have been observed and assigned. For CsH(NO₃)₂ the two bending modes are closer in frequency than in KHCO₃ and they are not resolved from the antisymmetric stretch.     

Amide,urea and thiourea‐containing triphenylene derivatives: influence of H‐bonding on mesomorphic properties

The synthesis and thermotropic properties are reported for a series of hexaalkoxytriphenylenes that contain an amide, urea or thiourea group in one of their alkoxy tails. The intermolecular hydrogen bonding abilities of these molecules have a disturbing influence on the formation and stability of the columnar liquid crystalline phases. The stronger the hydrogen bonding the more the liquid crystallinity is suppressed, probably due to disturbance of the π–π stacking of the triphenylene discs. As a direct result, urea‐ and amide‐containing triphenylene derivatives are not liquid crystalline, but several thiourea derivatives show hexagonal columnar mesophases.     

The dynamics of ring rotation in ferrocene,nickelocene and ruthenocene by incoherent quadi-elastic neutron scattering

Incoherent quasi-elastic neutron scattering has been used to study the reorientational motions of the cyclopentadienyl rings in ferrocene, nickelocene and ruthenocene. The results for ferrocene show that the activation energy for ring rotation drops above the 164 K phase transition to 4.4 ± 0.5 kJ mol^?1 (which is approximately half its low temperature value) but the rings still appear to jump between only five orientations on the observable time scale. At room temperature, the rings in nickelocene appear to behave the same as in ferrocene but in ruthenocene they reorientate much less frequently and resemble those in ferrocene below 164 K.     

Hydrogen bonding in potassium hydrogen maleate and some simple derivatives studied by inelastic neutron scattering spectroscopy

Inelastic neutron scattering spectra (300–2500 cm^?1) of KH(CHCO₂)₂, KD(CHCO₂)₂, KH(CDCO₂)₂ and KH(CHCO₂ · CClCO₂) have been obtained and the vibrations of the hydrogen bond, with the exception of ν₂(OHO), assigned. This is the first assignment of these vibrations in a centrosymmetric intramolecularly hydrogen bonded complex. ν_as(OHO) was found to be heavily mixed and to give rise to a strong doublet in the INS spectra.     

Aminocatalytic preparation of bisindolylalkanes

An aminocatalytic method for the formation of bisindolylalkanes is described; the reaction proceeds effectively at ambient temperature in the presence of moisture and air for both aldehyde and ketone substrates and has been applied to the one-step preparation of a series of naturally-occurring bis- and tris-indolylalkanes.     

Analysis of inelastic neutron scattering results on model compounds of the nitrogenous bases of the nucleotides

The role that model compounds can play in understanding the vibrational eigenvectors of molecules is discussed. Assigning the spectra of model compounds is of particular importance and the individual-scaling approach, that has been used with isolated molecule ab-initio calculations, is outlined. Special emphasis is given to recent work on assigning the spectra of three 5–6 heterobicyclic systems; indole, benzimidazole and isatin.      

Vibrational spectra of benzene chromium tricarbonyl and its mesityl analogue: a study by neutron spectroscopy

We have used high resolution neutron vibrational spectroscopy to study the vibrations of the model compound for arene-to-metal bonding, benzene chromium tricarbonyl, and its mesityl analogue. It is shown that all previously published assignment schemes, based on optical spectroscopy alone, are wrong, and new assignments are given in agreement with ab initio calculations.     

Comment on: “FTIR,FT-Raman,scaled quantum chemical studies of the structure and vibrational spectra of 1,5-dinitronaphthalene” by Arivazhaga et al. [Spectrochim. Acta A72 (2009) 941–946]

The title paper [1] reports ab initio calculations of the structure and molecular vibrations of 1,5-dinitronaphthalene. The calculations are unminimised, the molecular structure is wrong and the vibrational spectra are misinterpreted. These errors have been corrected and the vibrational spectra of 1,5-dinitronaphthalene have been reassigned in agreement with the optical and neutron spectroscopic data.     

Abelian-by-FC-hypercentral groups

A splitting theorem for FC-hypercentral group G and zG-module of finite rank is obtained. According to this theorem, under certain conditions, every extension E of the zG-module A by the group G is split and all the complements to A in E are conjugate in E.Published in Ukraninskii Matematicheskii Zhurnal, Vol. 43, Nos. 7 and 8, pp. 1038–1042, July–August, 1991.