=Quasi-one-dimensional periodic systems were investigated by the new proposed extrapolation method. The effect of the selection of the different structural units and their spin states on the periodic system was also studied. A quantum chemical calculation investigation of a 28 quasi-one-dimensional periodic system with MNDO (UHF) and EHMO/ASED-EHCO/ASED was undertaken. Quantum chemical calculation results with the MNW (UHF) method showed that the proposed new method could be applied in the situation of the more precise semiempirical method. The selection of the different structural units and their spin states do not affect the extrapolated structural unit energy. The energy of suspending terminal group is generally higher for those with a higher bond order. The interaction energy between the suspending terminal groups generally decreases with the chain length. Comparison between the extrapolation results of EHMO/ASED and those from the crystal orbital calculation of EHCO/ASED indicates their equivalence, thus confirming the validity of the proposed method. witnessed a growing interest directly related to the many appealing properties displayed by them. Polymers and molecular crystals are all periodic systems composed of repeated structural units, and then, in principle, their properties can be determined by the structural units. However, generally, the traditional method LCAO/MO-LCMO/CO