We estimate the formation energy of lattice vacancies in quantal Wigner cry
stals of charged particles near their melting point at zero temperature, in
terms of the crystalline Lindemann parameter and of the static dielectric
function of the fluid phase near freezing. For both two-dimensional (2D) an
d three-dimensional (3D) crystals of electrons, our results suggest the pre
sence of vacancies in the ground state at the melting density. (C) 1999 Els
evier Science Ltd. All rights reserved.