He clusters represent an anomalous case in the field of nanosized stru
ctures owing to the extremely low value of the temperature of the liqu
id phase in bulk helium. The weak dissipative forces which hold these
clusters together offer a severe benchmark for calculations of all typ
es. Owing to the interest in phenomena of superfluidity and supercondu
ctivity, calculation methods, optimized from either the computational
or the mathematical point of view, are the object of very intensive ef
forts. In this study we report calculations of the structure and energ
etics of small He clusters obtained by using a LCAO method of the ab i
nitio type with simple trial functions of the gaussian type. The resul
ts indicate that the cluster structure is correctly predicted, though
deep spurious minima in the energy potential surface are also found.