A genetic algorithm has been used to solve a complex multidimensional
parameter-fitting problem. We will focus on the parameters of an empir
ical tight-binding Hamiltonian. The method is used to approximate the
electronic energy band structure if energy values are known for a few
wave vectors of high symmetry. Compared to the usual manual procedure
this method is more accurate and automatic. This approach, based on th
e extended Huckel theory (EHT), has provided a list of EHT parameters
for IV-IV and III-V semiconductors with zinc-blende structure and help
ed us to find a symmetry in the EHT.