Hochauflösende29Si-Festkörper-NMR-Spektroskopie: Si-O-Si-Bindungswinkel und chemische Verschiebung in Disilicaten

Monatshefte für Chemie - Chemical Monthly - High-resolution solid-state29Si NMR spectra of polycrystalline rare earth disilicatesLn 2Si2O7 (Ln=Sc, Y, In, La, Yb and Sm) have been investigated....     

On the wellposedness of constitutive laws involving dissipation potentials

We consider a material with memory whose constitutive law is formulated in terms of internal state variables using convex potentials for the free energy and the dissipation. Given the stress at a material point depending on time, existence of a strain and a set of inner variables satisfying the constitutive law is proved. We require strong coercivity assumptions on the potentials, but none of the potentials need be quadratic.

As a technical tool we generalize the notion of an Orlicz space to a cone ``normed' by a convex functional which is not necessarily balanced. Duality and reflexivity in such cones are investigated.

     

Hochauflösende29Si-Festkörper-NMR-Spektroskopie: Einfluß des Si-O-Si-Bindungswinkels auf die isotrope chemische Verschiebung von t- und h-Y2Si2O7

Starting from high-resolution solid-state²⁹Si NMR spectra of two modifications of Y₂Si₂O₇ with different Si-O-Si bond angles it was verified that increasing bond angles cause high-field isotropic²⁹Si chemical shifts.