  In this paper, the condensate fraction and the critical atom number and its
corresponding critical temperature of condensate ultracold boson atoms trapped
in optical box traps, are investigated. The semiclassical approximation is
employed in this study. The boxes traps are modeled by a general power-law
potential. The deviation of the boxes traps from an ideal boxes traps are
discussed. The out come results furnish useful quantitative theoretical results
for the future BEC experiments in such traps
