A third possibility to obtain individually origininvariant Sia values is to perform a singular value decomposition (SVD) of each α V ia tensor, to form individual β V ia tensors for each ia MO pairs, and to apply the inverse SVD transformation to the β V ia tensors. The inverse SVD transformation would render the α V ia tensors diagonal and it would eliminate the origin dependence of the Sia terms in Eq. 11. This transformation would be analogous to that to obtain origin-invariant length gauge OR without using London orbitals, LG(OI), and LG(OI) rotatory strengths for electronic transitions. However, in Ref. 31 it was shown that applying this transformation to individual rotatory strengths disrupts the sum-overstate relationship between these quantities and the overall OR, i.e., the equivalent of Eq. 2 for the length gauge, where the rotatory strengths are the numerators. In the context of the Sia approach, where these quantities can be considered rotatory strengths in the space of Slater determinants rather than eigenstates of the Hamiltonian, 1 applying the SVD transformation to individual Sia would disrupt the equality in Eq. 8. Therefore, we do not pursue this route further.