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We present investigate the self assembly and growth of an array of $CdS$nanotubes: a consequence of a fine balance of directed motion, diffusion andaggregation of reacting ${\rm Cd^{+2}}$ and ${\rm S^{-2}}$ ions. In a previouscommunication [J. Kiruthiga, A. Chatterji, J. Chem. Phys., {\bf 138} 024905(2013)], we identified the mechanism of a unexpected growth of a very uniform$CdS$ nano-cylinder from the end of a nano-channel. Furthermore, the cylinderhad a pore along the axis but were closed at one end. This unique phenomenon ofself assembly of {\em monodisperse} CdS nano-cylinders had been observed in arather simple experiment where two chambers containing 0.1 M ${\rm Cd Cl_2}$and 0.1 M ${\rm Na_2 S}$ solutions were joined by an array of anodizedaluminium oxide (AAO) nano-channels [A. Varghese, S. Datta, Phys. Rev. E., {\bf85}, 056104 (2012)]. Our previous study identified the principles governing thegrowth of a single nano-tube at the exit point of a single AAO-nano-channel. Inthis communication, we identify factors affecting the self-assembly process fornano-tubes growing out an array of closely spaced AAO nano-channel exits. Ourmodel is not $Cd^{+2}$ or $S^{2-}$ specific, the experimental scheme can beextended to self assemble a general class of reacting-diffusing A and B ionswith A (${\rm Cd^{+2}}$) selectively migrating out from a nano-channel. Inparticular, we note that after the initial prolonged growth of nanotubes, therecan arise a severe deficiency of B-ions (${\rm S^{-2}}$) ions near theAAO-nano-channel exits, the points where the reaction and aggregation occurs toform the $CdS$ nanotube, thus impeding further growth of uniform CdSnano-tubes. Thereby we predict the necessary characteristics of reactingsystems which can be self assembled using suitable adaptations of previousexperiments.

Self assembly of monodisperse CdS nano-cylinders with a pore