Given an ordinary polyhedron P in the three dimensional Euclidean space, diierent tetrahedralizations of P may contain diierent numbers of tetrahedra. Minimal tetrahedralization is a tetrahedralization with the minimum number of tetrahedra. In this paper, we present some properties of the graph of polyhedra. Then we identify a class of polyhedra and show that this kind of polyhedra can be minim...

Structural and mechanical properties of diamond-like carbon films deposited by an anode layer source, Thin Solid Films 517 (2009) 6502. spectroscopy of diamond-like carbon films deposited by an anode layer source, Diamond Relat. Mater. 17 DLC films deposited at room-temperature by reactive magnetron sputtering and by an anode layer source – a comparative study, Relation between structural/topol...

In this letter, we report fluctuation microscopy studies of medium-range ordering in amorphous diamond-like carbon films and the effect of annealing on this ordering. Annealed and unannealed diamond-like carbon films have almost identical short-range order. Our fluctuation microscopy results, however, indicate the presence of medium range order or clustering in the films on a lateral length sca...

Rapid variations of the environmental energy caused by ultrashort laser pulses have induced phase transitions in carbon allotropes, therefore bringing the promise of revealing new carbon phases. Here, by exposing polycrystalline graphite to 25 fs laser pulses at 4 J/cm(2) fluence under standard air atmosphere, we demonstrated the synthesis of translucent micrometer-sized structures carrying dia...

Tetrahedral amorphous carbon (ta-C ) is a potential low-cost substitute for diamond in certain applications, but little is known of the temperature range over which its desirable properties are retained. The thermal stability of tetrahedral amorphous carbon (ta-C ) films has been investigated by heat treatment of the films at temperatures from room temperature to 450°C in high vacuum, low vacuu...

Nitrogen-incorporated ultrananocrystalline diamond (N-UNCD) and multi-layer-graphene-like hybrid carbon films have been synthesized by microwave plasma enhanced chemical vapor deposition (MPECVD) on oxidized silicon which is pre-seeded with diamond nanoparticles. MPECVD of N-UNCD on nanodiamond seeds produces a base layer, from which carbon structures nucleate and grow perpendicularly to form s...