We develop a method for interpolating the optical properties of silicon nitride formed with different deposition parameters. Published refractive index measurements for eight silicon nitride films formed by in-line microwave plasma-enhanced chemical-vapour deposition with a range of ammonia to silane gas-flow ratios are modelled and interpolated. The measurements are fitted by a physical model ...

We show that solutions of Pentagon equations lead to solutions of the Tetrahedron equation. The result is obtained in the spectral parameter dependent case. URA 1436 ENSLAPP du CNRS, associée à l’Ecole Normale Supérieure de Lyon et au Laboratoire d’Annecy de Physique des Particules. email: [email protected] Ref. ENSLAPP xxx/93 November 1993

This special Symposium-in-Print issue of Bioorganic & Medicinal Chemistry Letters commemorates the 2008 Tetrahedron Young Investigator Award in Bioorganic & Medicinal Chemistry awarded to Benjamin F. Cravatt. Benjamin F. Cravatt is the Norton B Gilula Professor of Chemical Biology at The Scripps Research Institute. He received a B.S. degree in biological sciences and B.A. degree in history from...

Doller, D. and Hu, B. (1992) Tetrahedron Lett. 33, 27 Barton, D. H. R., Bevicre, S. D., Chavasiri, W., 69 5473-5476 28 Leising, R. A., Kim, J., Perez, M. A. and Que, Jr., L. (1993) J. Am. Chem. SOC. 115,9524-9530 29 Menage, S., Vincent, J.-M., Lambeaux, C., Chottard, G., Grand, A. and Fontecave, M. (1993) Inorg. Chem. 32,4766-4773 30 Menage, S., Vincent, J.-M., Lambeaux, C. and Fontecave, M. (1...

Consider the tangential trace of a vector polynomial on the surface of a tetrahedron. We construct an extension operator that extends such a trace function into a polynomial on the tetrahedron. This operator can be continuously extended to the trace space of H(curl ). Furthermore, it satisfies a commutativity property with an extension operator we constructed in Part I of this series. Such exte...

We generalize the imaginary-chemical-potential quantum Monte Carlo (QMC) method proposed by Dagotto [Phys. Rev. B 41, R811 (1990)] to systems without particle-hole symmetry. The generalized method is tested by comparing the results of the QMC simulations and exact diagonalization on small Hubbard molecules, such as tetrahedron and truncated tetrahedron. Results of the application of the method ...

A generalized tetrahedron group is defined to be a group admitting the following presentation: 〈x, y, z | xl = ym = zn = W p 1 (x, y) = W q 2 (y, z) = W r 3 (x, z) = 1〉, 2 ≤ l, m, n, p, q, r, where each Wi(a, b) is a cyclically reduced word involving both a and b. These groups appear in many contexts, not least as fundamental groups of certain hyperbolic orbifolds or as subgroups of generalized...

SUMMARY We present a new shape measure for tetrahedral elements that is optimal in that it gives the distance of a tetrahedron from the set of inverted elements. This measure is constructed from the condition number of the linear transformation between a unit equilateral tetrahedron and any tetrahedron with positive volume. Using this shape measure, we formulate two optimization objective funct...

A classical 6j-symbol is a real number which can be associated to a labelling of the six edges of a tetrahedron by irreducible representations of SU(2). This abstract association is traditionally used simply to express the symmetry of the 6j-symbol, which is a purely algebraic object; however, it has a deeper geometric significance. Ponzano and Regge, expanding on work of Wigner, gave a strikin...