Subgroups,of Chevalley groups over a locally finite field,defined by a family of additive subgroups

It is proved that every elementary carpet of nonzero additive subgroups which is associated with a Chevalley group of a Lie rank exceeding one over a locally finite field coincides, up to conjugation by a diagonal element, with a carpetwhose additive subgroups are equal to some chosen subfield of the ground field. A similar result is obtained for a full matrix carpet (a full net).     

Powder diffraction and Raman spectroscopic study of lawsonite at high water pressure

The structural behavior of natural lawsonite CaAl₂Si₂O₇(OH)₂ · H₂O in aqueous and nonaqueous media (pressure up to 9.5 GPa) has been studied by synchrotron powder diffraction and Raman spectroscopy. The volume compressibility of lawsonite is found to be similar in both aqueous and nonaqueous media, while irreversible amorphization is observed only under compression in the aqueous medium to a pressure of about 6 GPa. Along with the observed increase in framework vibration frequencies, this reveals that the lawsonite structure is unstable when hydrostatic conditions of compression differ from those provided by crystallization of ice VII in an aqueous medium.     

Preparation of a macrocrystalline pressure calibrant SrB4O7:Sm 2+ suitable for the HP-HT powder diffraction

A new simplified synthesis of monocrystalline chips of SrB₄O₇: Sm²⁺ pressure calibrant, well-suited for the diamond anvil cell (DAC) powder diffraction experiments, is proposed. It consists of ordinary solid-state synthesis of fine-grained SrB₄O₇: Sm²⁺ and subsequent annealing near melting temperature. The obtained material was characterized and tested in HP-HT DAC experiment.     

Structure of the intermediate high-pressure phases of ternary lead tellurides

In chambers with diamond anvils, the structure of high-pressure phases of ternary lead tellurides Pb_1?x Sn_xTe (x = 0.29) and Pb_1?x Mn_xTe (x = 0.05) and nonstoichiometric crystals Pb_0.55Te_0.45, Pb_0.45Te_0.55 is analyzed by the synchrotron radiation diffraction method at pressures of P up to 14 GPa. The orthorhombic structure of the intermediate high-pressure phase (space group Pnma) is determined for all the samples above 6 GPa. Models of the phase transition in PbTe from the initial rock salt structure to the orthorhombic phase, which constitutes a distorted variant of NaCl, as well as the properties of this phase, are discussed.     

Synthesis of oxo derivatives of <Emphasis Type="Italic">N</Emphasis>-(<Emphasis Type="Italic">p</Emphasis>-tolysulfonyl)hexahydrocycloalka[<Emphasis Type="Italic">b</Emphasis>]indoles

Hydroxymercuration-demercuration of N-p-tolysulfonyl-4,4a,9,9a-tetrahydro-3H-carbazoles and N-p-tolyl(or methyl)sulfonyl-1,3a,4,8b-tetrahydrocyclopenta[b]indoles leads to the formation of the corresponding N-p-tolylsulfonyl-2,3,4,4a,9,9a-hexahydro-1H-carbazol-2-ols and N-p-tolyl(or methyl)sulfonyl-1,2,3,3a,4,8b-hexahydrocyclopenta[b]indol-2-ols. The latter are oxidized to 2-oxo derivatives with potassium dichromate. The oxidation of 2-methoxy-8-methyl-N-p-tolylsulfonyl-2,3,4,4a,9,9a-hexahydro-1H-carbazol-1-ol under analogous conditions gives 2-methoxy-8-methyl-N-p-tolysulfonyl-2,3,4,4a,9,9a-hexahydro-1H-carbazol-1-one.     

Raman Scattering in Hexagonal Diamond

Polycrystalline powder of a diamond–lonsdaleite system from the Popigai impact crater (Siberia) is studied via UV micro-Raman scattering (RS) and X-ray diffraction. A spectrum of pure lonsdaleite is obtained by subtracting two experimental Raman spectra of diamond–lonsdaleite samples with close ratios of diamond and lonsdaleite. The maximum contribution to the difference spectrum is due to the difference between the contribution from lonsdaleite, and not to the change in the bandwidth of the diamond. Deconvolution of the lonsdaleite spectrum allows isolation of all three vibrational modes (E_2g, A_1g, and E_1g) active in the first-order RS, the positions of which agree well with the results from first-principles calculations.     

Raman Scattering in Lonsdaleite

We present the results of our study of a polycrystalline diamond–lonsdaleite powder from the Popigai crater (Siberia) using UV micro-Raman scattering and synchrotron X-ray diffraction. By subtracting two experimental Raman spectra of diamond–lonsdaleite samples with a close ratio of the diamond and lonsdaleite fractions, when the maximum contribution to the difference spectrum is related to the difference of the lonsdaleite contributions and not to the change in the diamond band width, we have managed to obtain the spectrum of “pure” lonsdaleite. Its deconvolution has allowed us to identify all three Raman-active vibrational modes E_2g, A_1g, and E_1g whose positions agree well with the results of ab initio calculations.     

Raman investigation of fibrous zeolites of the natrolite group at high pressures of an aqueous medium

The intermediate phases preceding overhydration are observed by Raman spectroscopy both in scolecite Ca[Al₂Si₃O₁₀] · 3H₂O and in thomsonite NaCa₂[Al₅Si₅O₂₀] · 6H₂O upon compression in an aqueous medium. The first intermediate phase of scolecite is attributed to a phase precursor revealed earlier using XRD at pressure of ～1 GPa. The widening of the Raman bands of O-H vibrations caused by the disordering of H₂O, which appears after additional water molecules are embedded in the zeolite channels, is typical of this intermediate phase. It is assumed on the basis of the Raman spectroscopy data that scolecite contains second overhydrated and second intermediate phases.     

The application of <Emphasis Type="Italic">in situ</Emphasis> X-ray diffraction for the study of mineral reactions: The formation of lawsonite at 400°C and 25 kbar

The method of in situ X-ray diffraction with the influence of temperature and pressure on the sample was successfully applied in Siberian Synchrotron and Terahertz Radiation Centre on the experimental station Diffractometry in hard X-rays. High-pressure water-containing lawsonite silicate CaAl₂[Si₂O₇](OH)₂·H₂O is obtained at 400°C and 25 kbar in a diamond anvil cell during the decomposition of laumontite. In situ diffractometry of the reaction products helps to determine parameters of the unit cell of lawsonite and phase composition of CaO-Al₂O₃-SiO₂-H₂O at 400°C and 25 kbar.     

New type of phase transformation in gas hydrate forming system at high pressures. Some experimental and computational investigations of clathrate hydrates formed in the SF6-H2O system

In this work, we present a new, previously unknown type of structure transformation in the high-pressure gas hydrates, which is related to the existence of two different isostructural phases of the sulfur hexafluoride clathrate hydrates. Each of these phases has its own stability field on the phase diagram. The difference between these hydrates consists of partial filling of small D cages by SF(6) molecules in the high-pressure phase; at 900 MPa, about half of small cages are occupied. Our calculations indicate that the increase of population of small cavities is improbable, therefore, at any pressure value, a part of the cavities remains vacant and the packing density is relatively low. This fact allowed us to suppose the existence of the upper pressure limit of hydrate formation in this system; the experimental results obtained confirm this assumption.