In this work, a supramolecular quantum mechanical self assembly of two minimal-protocells (micelles) containing 696 atoms is studied using density functional theory and its time dependent version. This two micelles system is initially optimized using semiempirical PM3 method. Their frontier molecular orbitals are analyzed using DFTPBEPBE/ 6-311++G(d, p) method and excited states are calculated using TD-DFT//PBEPBE/6-311++G(d, p) method. The electronic transitions corresponding to these excited states are discussed. We have noticed a number of transitions which can be used for information exchange within this two micelles system.