The Mixed Valence Tungsten(IV,V) Compound Na[W2O2Br6]

The reaction of W₆Br₁₂, NaBr, and WO₂Br₂ in the presence of Br₂ in a sealed silica tube yields Na[W₂O₂Br₆] together with WOBr₄ and WO₂Br₂ in the low temperature zone (temperature gradient 1030/870 K). Na[W₂O₂Br₆] crystallizes orthorhombically in the space group Immm (no. 71) with a = 3.775 Å, b = 10.400 Å, c = 13.005 Å and Z = 2. Pairs of condensed trans-[WO₂Br₄] octahedra with a common Br₂ edge form along [100] double chains [W₂O_4/2Br₆]^1– via the oxygen atoms. The mixed valent tungsten atoms are bonded to W₂ pairs with a 2 c–3 e bond (d(W–W) = 2.946 Å, d(W–O) = 1.888 Å, d(W–Br^b) = 2.537 Å, d(W–Br^t) = 2.535 Å, ∢O–W–O = 177.4°, ∢Br^b–W–Br^b (endocyclic) = 109.0°). The Na⁺ cations connect the anionic double chains to form two-dimensional layers parallel (001), which interact by van der Waals forces. The cations are eightfold coordinated by a cube of the terminal Br^t ligands of the polymeric anions (d(Na–Br) = 3.138 Å). Na[W₂O₂Br₆] may be discussed as an intercalation compound of the oxide bromide WOBr₃.     

[(Cp*Fe)3{(η3-As3)Fe}As6] und [(Cp*Fe)3As6][FeCl3(THF)], zwei neue Eisen–Arsen-Cluster mit As6 und As3-Fragmenten

[(Cp*Fe)₃{(η³-As₃)Fe}As₆] and [(Cp*Fe)₃As₆][FeCl₃(THF)], Two New Ironarsenide Cluster Containing As₆ and As₃ Fragments The compounds [(Cp*Fe)₃{(η³-As₃)Fe}As₆] ( 1 ) and [(Cp*Fe)₃As₆][FeCl₃(THF)], ( 2 ) can be obtained in good yields through the reaction of As₇(SiMe₃)₃ with FeCl₂ and LiCp*. Both compounds have been characterized by mass spectroscopy and crystal structure analysis. The As₇ nortricyclane frame of As₇(SiMe₃)₃ is still recognizable in 1 . According to the Wade rules the cation of 2 has 20 valence electrons inside the clustercore. This leads to a structure very similar to closo-B₉H₉^2–.     

NMR chemical shielding surface of N-Acetyl-N′-Methylalaninamide: A density functional study

The five energetically lowest minima on the potential energy surface of N-acetyl-N′-methylalaninamide were optimized at the Becke3LYP/DZd level of theory to compare these density functional theory results with the literature findings at restricted Hartree-Fock/3-21G. While the relative energies are very similar, the amide moiety is predicted to be much more flexible at Becke3LYP/DZd. As a consequence, the three minima that favor a nonplanar amide group differ by up to 14° in their ϕ and ψ values between the two levels. To compare the change in the density functional NMR chemical shifts with respect to ϕ and ψ with experimental results, Becke3LYP/DZd was employed to optimize a structure for N-acetyl-N′-methylalaninamide at each 30° interval on the (ϕ, ψ) surface in the regions that correspond to the α helix and the β-pleated sheet and at each 60° interval elsewhere. The corresponding NMR chemical shielding surface was computed with the density functional program deMon. The resultant NMR chemical shielding surfaces for N and C^β are in good agreement with the experiment, while the change in the NMR chemical shielding of C′ and C^α cannot be described only in terms of ϕ and ψ. The chemical shifts for those atoms also depend on the nonplanarity of the amide moiety. We evaluated this dependence for N-methylacetamide as a model system. Estimates of the parameters derived from N-methyl-acetamide allowed the NMR-shielding surfaces of C′ and C^α to be corrected for the nonplanar nitrogen influence. Although the effect is less pronounced with lower level theoretical geometries, due to the smaller degree of pyramidalization of the amide nitrogen, the (ϕ, ψ) NMR chemical shielding surfaces will need to be corrected. The agreement with the experiment was much better for the corrected surface of C′ when the nitrogen in the α helix had a nonplanar environment. © 1997 by John Wiley & Sons, Inc.     

Synthese,Kristallstrukturen und quantenchemische Untersuchung von Verbindungen mit leiterartigem Al4P4‐ und hexagonal prismatischem Al6P6‐Grundgerüst

The reaction of AlCl₃ with Li₂PR (R = SiiPr₃, SiMeiPr₂) in a mixture of heptane and ether yields in the polycyclic compounds [(AlCl)₄(μ₃‐PR)₂(μ‐PR)₂(Et₂O)₂]( 1a : R = SiiPr₃; 1b : SiMeiPr₂) with a ladder‐shaped Al₄P₄ core. The coordination sphere of the outer aluminium atoms in these compounds is completed by ether ligands. In contrast, the reaction of AlCl₃ with Li₂PSiiPr₃ in pure heptane yields in the formation of the hexagonal prismatic compound [(AlCl)₆(μ₃‐PSiiPr₃)₆]( 2 ). 1 and 2 were characterized by single crystal X‐ray diffraction analysis as well as by ³¹P{1H} and ²⁷Al NMR spectroscopy. The structure determining effect of the solvent can be rationalized by quantumchemical calculations, which also show that the hexagonal prismatic structure is the most stable of the investigated oligomers in absence of ether.     

The First Orthotelluric Acid Polysilylesters: Synthesis and Crystal Structure of [(Me3SiO)8Te2O2] and [(Me4Si2O2)3Te]

The compounds [(Me₃SiO)₈Te₂O₂] ( 1 ) and [(Me₄Si₂O₂)₃Te] ( 2 ) have been prepared in good yields through Bronsted acid‐base reaction of Te(OH)₆ with Me₃SiNEt₂ and Me₄Si₂(NEt₂)₂, respectively. They have been characterised by multinuclear NMR spectroscopy and single crystal X‐ray diffraction analyses. The formation of dinuclear 1 is the result of fast intermolecular condensation of two partially silylated orthotelluric acid units during the esterification process. Its structure consists of two edge‐fused TeO₆‐octahedra, bearing a four‐membered Te₂O₂ ring as central motif. In contrast, the main structural feature of chiral 2 is a TeO₆ octahedron which is fully silylated by three bidentate 1,1,2,2‐tetramethyldisilanediyl units, resulting in a racemic mixture. The metastability of 2 is remarkable since the Te(+ 6) center usually acts as a strong oxidation reagent toward the Si–Si bond in disilanes. 1 and 2 represent potential starting compounds for molecular Te_xO_y aggregates as hybrid components for new glasses by sol‐gel procedure.     

Dilithium Hexaboride,Li2B6

Li₂B₆ is formed from the elements as transparent red microcrystalline compound (Li : B = 1 : 3; Mo crucible in closed Nb ampoule; 1723 K; 4 h). Single crystals are grown from a lithium silicide melt with large Li excess at 1923 K. Li₂B₆ is a semiconductor with electron as well as Li⁺ ionic conductivity which dominates above 600 K. Microcrystalline samples react with H₂O liberating gases and forming a brownish amorphous product, but larger crystals are not very sensitive. – Li₂B₆ crystallizes tetragonally in a new tP16 structure type which is a variant of the CaB₆ structure (a = 5.975 Å, c = 4.189 Å; Z = 2; space group P4/mbm). The [B₆^2–] net of the polymeric octahedro-anion is slightly distorted to give space for the insertion of a (3²434) net of the Li⁺ cations in the cavities (d(B–B)_endo = 1.766 Å; d(B–B)_exo = 1.720 Å; d(Li–B) = 2.363 Å; d(Li–Li) = 3.094 Å). The incomplete occupancy of the Li position (80%) and the electron density at a further position (20%) indicate the mobility of the Li⁺ cations.     

Inspection games in arms control

An inspection game is a mathematical model of a situation in which an inspector verifies the adherence of an inspectee to some legal obligation, such as an arms control treaty, where the inspectee may have an interest in violating that obligation. The mathematical analysis seeks to determine an optimal inspection scheme, ideally one which will induce legal behavior, under the assumption that the potential illegal action is carried out strategically; thus a non-cooperative game with two players, inspector and inspectee, is defined. Three phases of development in the application of such models to arms control and disarmament may be identified. In the first of these, roughly from 1961 through 1968, studies that focused on inspecting a nuclear test ban treaty emphasized game theory, with less consideration given to statistical aspects associated with data acquisition and measurement uncertainty. The second phase, from 1968 to about 1985, involves work stimulated by the Treaty on the Non-Proliferation of Nuclear Weapons (NPT). Here, the verification principle of material accountancy came to the fore, along with the need to include the formalism of statistical decision theory within the inspection models. The third phase, 1985 to the present, has been dominated by challenges posed by such far-reaching verification agreements as the Intermediate Range Nuclear Forces Agreement (INF), the Treaty on Conventional Forces in Europe (CFE) and the Chemical Weapons Convention (CWC), as well as perceived failures of the NPT system in Iraq and North Korea. In this connection, the interface between the political and technical aspects of verification is being examined from the game-theoretic viewpoint.     

Extreme-field physics in Penning traps

We present two Penning trap experiments concerned with different aspects of the physics of extreme electromagnetic fields, the ARTEMIS experiment designed for bound-electron magnetic moment measurements in the presence of the extremely strong fields close to the nucleus of highly charged ions, and the HILITE experiment, in which well-defined ion targets are to be subjected to high-intensity laser fields.     

Feasibility of non-invasive temperature estimation by the assessment of the average gray-level content of B-mode images

This paper assesses the potential of the average gray-level (AVGL) from ultrasonographic (B-mode) images to estimate temperature changes in time and space in a non-invasive way.