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The CM relation that relates the macroscopic quantity with the microscopic property of the material by using the most widespread approximation of the local field as a bridge is one of the wonderful tool in the EMA. The different approaches to derive this relation involve different models and assumptions. We have closely examined three ways of deriving the relation based on different models. Attempt has been made to see the effect of the distribution of the dipoles on the internal field. More specifically, we investigated the statistics of the dipole field for a system of dipoles having equal dipole moments and the same direction. The atomic structures in consideration are taken to be in 1, 2 & 3D lattices. Instead of considering the dipoles at their equilibrium site position, we assumed that they are distributed randomly around their equilibrium site position.We tried to investigate the statistics of the internal electric field at the reference point. We have verified the validity of the CM relation for amorphous structures and this will certainly help in the fabrication of nanocomposites in which the position of the individual nanoparticle (assumed to be a dipole) is not regular