LiF-LiBr-LiVO<Subscript>3</Subscript>-Li<Subscript>2</Subscript>MoO<Subscript>4</Subscript> four-component system

Phase equilibria in the LiF-LiBr-LiVO₃-Li₂MoO₄ four-component system were studied using differential thermal analysis (DTA). The eutectic composition (mol %) was determined as LiF, 19.3; LiBr, 45.0; LiVO₃, 32.7, Li₂MoO₄, 3.0 with a melting temperature of 394°C.     

Degree spectra of the successor relation of computable linear orderings

We establish that for every computably enumerable (c.e.) Turing degree b the upper cone of c.e. Turing degrees determined by b is the degree spectrum of the successor relation of some computable linear ordering. This follows from our main result, that for a large class of linear orderings the degree spectrum of the successor relation is closed upward in the c.e. Turing degrees. The authors acknowledge partial support by the NSF binational grant DMS-0554841, and Harizanov by the NSF grant DMS-0704256, and Chubb by the Sigma Xi Grant in Aid of Research.     

Fabrication of graphene nanostructures by probe nanoablation

We present the results of the study of graphene nanoablation under mechanical stress of an ultrasharp (the rounding radius is ～2 nm) tip of a scanning probe microscope (SPM)). It was found that the SPM probe contact with graphene results in average removal of 7 · 10^?3?5 · 10^?2 nm of film per scan, i.e., only a few carbon atoms or clusters, in the impact area. The capability of this precision nanoablation process was shown in developing graphene nanoislands and nanoribbons ～1 µm long and ～10 nm wide.