A method that gives the parameters of advanced Tersoff interatomic potentia
ls for describing nonequilibrium atomic structures has been developed. This
method uses a genetic algorithm to optimize the Tersoff potential paramete
rs fitted to first-principles-calculated cohesive energies of various carbo
n systems, including bulk systems with atomic defects and amorphous, surfac
e, or cluster systems under stress. These optimized parameters converge tow
ards a set of Tersoff potential parameters that well describes not only cry
stals but also amorphous systems.