  In this paper we compute and compare the surface energy of various Ga liquid
droplets wetting a cylindrical cavity in various configurations. While for some
of these configurations the surface energy can be computed explicitely for
others numerical computation is needed. Motivated by the results obtained for
the cylindrical cavities we explore the case of the more realistic situation,
conical cavities. Our results provide a relation between the geometry of the
conical cavity and the equilibirum wetting angles of the droplet on the bottom
and on the sidewall of the cavity which insure the dewetting of the lateral
surface. This is an important result toward the control of the verticality
during the nanowire growth by the vapor liquid solid method.
