Between the two approaches, SHemi ia is computationally more demanding because it requires the evalution of the whole response matrix, see Eq. 13, at least in a straightforward application, which is memory and CPU intensive for real calculations. Furthermore, the requirement that the response matrix is positive definite cannot be guaranteed for a generic system. Therefore, the SAvg ia definition is preferable because it is always well defined and computationally cheaper. A downside of both Sia definitions is that it is not straightforward to associate transition vectors to a specific value with MVG because in both cases the spurious static limit is mixed with the ω-dependent term in a non-trivial fashion. Nonetheless, these schemes provide reference values for the determination of the most important contributions to the total OR of chiral molecules that can be used to benchmark the standard Sia results computed as in Eq. 7. The latter can then be used for a detailed analysis of the electron density redistribution for these relevant transitions as done in our previous studies.,7-9 Further studies will investigate whether these formulations can be extended to the length gauge approach, which does not have the spurious static limit issue but where the whole tensor is origin dependent.