Heteroatom substitution into the cores of alternant, aromatich ydrocarbons containing only even-membered rings is attracting increasing interesta samethod of tuning their electrical conductance.H ere, the effect of heteroatom substitution into molecular cores of non-alternant hydrocarbons, containing odd-membered rings,i se xamined. Benzodichalcogenophene (BDC) compounds are rigid, planar p-conjugated structures,w ith molecular cores containing five-membered rings fused to as ix-membered aryl ring. To probe the sensitivity or resilience of constructive quantumi nterference (CQI) in these non-bipartite molecular cores,t wo C 2 -symmetric molecules (I and II) and one asymmetric molecule (III) were investigated. I( II) contains S( O) heteroatoms in each of the five-membered rings, while III containsa nSin one five-membered ring anda nOin the other.D ifferences in their conductances arise primarily from the longerS ÀCa nd shorterO ÀCb ond lengths compared with the CÀCbond and the associatedc hangesint heir resonancei ntegrals. Although the conductanceo fI II is significantlyl ower than the conductances of the others, CQI was found to be resilientand persist in all molecules.[a] Dr.