This paper investigates the effect of cell size on density of states of the single wall Carbon nanotube m (2n, 0)/ l (n, n),m (2n, 0) quantum dots. By increasing the length of armchair carbon nanotube in metal-metal system m (12, 0)/l (6, 6)/ m (12, 0) and metal-semiconductor system m (8, 0)/l (4, 4)/m (8, 0), we observe changing in the density of states and increment of oscillation of the density of states. In the presence of the single vacancy and omission of a carbon atomic potential we observe small changes in the density of states in the system. These properties are used in optimization of nanoelectronic devices based on carbon nanotubes.