Plane gasdynamic flows with orthogonal magnetic and velocity field distributions

Résumé Nous considérons ici les propriétés d'écoulements magnétohydrodynamiques permanents, à deux dimensions, d'un fluide élastique non-visqueux et non-conducteur de la chaleur ayant une conductivité électrique infinie, lorsque les champs magnétiques et de vitesse sont partout orthogonaux. On montre qu'un tel écoulement peut être effectivement rattaché à une classe à quatre paramètres d'écoulements compressibles à deux dimensions d'un fluide non-conducteur. En admettant une équation d'état approximatif, on montre de plus que ces écoulements magnétohydrodynamiques peuvent être assimilés à des écoulements irrotationaux, de fluides incompressibles et non-conducteurs, à condition que les variations de vitesse restent limitées. A titre d'exemple, la théorie est appliquée à l'écoulement dans un canal.     

Synthesis and characterization of 2,6-Dipp(2)-H(3)C(6)SnSnC(6)H(3)-2,6-Dipp(2) (Dipp = C(6)H(3)-2,6-Pr(i)(2)): a tin analogue of an alkyne

The reaction of Sn(Cl)C(6)H(3)-2,6-Dipp(2) (Dipp = C(6)H(3)-2,6-Pr(i)()(2)) with a stoichiometric amount of potassium in benzene affords 2,6-Pr(i)()(2)-H(3)C(6)SnSnC(6)H(3)-2,6-Pr(i)()(2) (1) as dark blue-green crystals. The compound 1 is a tin analogue of an alkyne. It was characterized by (1)H and (13)C NMR and UV-vis spectroscopy, cyclic voltammetry, combustion analysis and X-ray crystallography. The structural data show that 1 has a trans-bent, planar C(ipso)SnSnC(ipso) skeleton with a Sn-Sn bond distance of 2.6675(4) A and a Sn-Sn-C angle of 125.24(7) degrees. The Sn-Sn distance, which is ca. 0.15 A shorter than a conventional Sn-Sn single bond, and the trans-bent structure indicate the presence Sn-Sn multiple bond character unlike the related singly bonded ArPbPbAr species.     

Effects of the alkali metal counter ions on the germanium-germanium double bond length in a heavier group 14 element ethenide salt

The first, well-characterized 1,2-dilithium salt of a group 14 element ethenide species, [[(dioxane)(0.5)(Et2O)LiGeC6H3-2,6-Mes2]2]infinity, shows that the positions of the cations have a large effect on the length of the Ge-Ge double bond.     

Facile activation of dihydrogen by an unsaturated heavier main group compound

The germanium alkyne analogue Ar'GeGeAr' (1, Ar' = C6H3-2,6(C6H3-2,6-Pri2)2) reacts with 1, 2, or 3 equiv of dihydrogen at room temperature, and at 1 atm pressure, to afford a mixture of the products Ar'HGeGeHAr' (2), Ar'H2GeGeH2Ar' (3), or Ar'GeH3 (4). The relative amounts of each product are governed by the number of equivalents of hydrogen used. A mechanism for the initial step in the reaction is proposed. The appearance of 4 among the reaction products was accounted for in terms of either its dissociation to monomers or isomerization to the bridged Ar'Ge(mu-H)2GeAr'. The reactions were monitored by 1H NMR spectroscopy. The products 2, 3, and 4 were characterized by X-ray crystallography, and 4 was synthesized independently by the reduction of Ar'Ge(OMe)3. These reactions represent the first direct addition of hydrogen to a closed shell unsaturated main group compound under ambient conditions.