The thermodynamic behavior of the carbon schwarzite fcc (C-36)(2) has been
studied by tight-binding molecular-dynamics simulations at constant tempera
ture and pressure. The system is totally sp(2) bonded and it can be represe
nted as a folded graphite sheet made by hexagonal and heptagonal rings. The
structure has a density rho as low as rho = 1.05 gr/cm(3) at T = 300 K and
a bulk modulus B, evaluated by measuring the volume variation upon applica
tion of an external hydrostatic load, as large as B = 0.70 Mbar. At T simil
ar to 4000 K, the structure unfolds via a topological transformation, which
brings the value of the topological connectivity of the structure k(c) fro
m k(c) = 19 (for a cell including four molecules) to k(c) = 3 (which is the
value of a graphite sheet). The behavior of the structural, dynamical, and
electronic-structure properties has been evaluated in the whole temperatur
e range, below and above the temperature of the topological transition. [S0
163-1829(99)02148-7].