It was also shown that an infinite number of origins can be chosen such that Tr( β) = Tr(β) (see Eqs. 7 and 11). The numerical procedure also located an alternative origin (O Far ) for all molecules where the individual diagonal elements of the LG and LG(OI) OR tensors matched each other to within 1% (and not just the trace). For each case, the newly found O Far proved to be at a fairly We also showed that O An is transferable to other levels of theory. In fact, this choice of molecular orientation calculated at CAM-B3LYP level was consistently better than putting the origin at the COM or COC for both B3LYP and CCSD. In extreme cases like molecule 9 for CCSD, the relative error decreased from 70% with the origin at the COM to 1%. Overall, using O An CAM for B3LYP and CCSD produced errors <2%.