Starting first with the COM plots, we can see that for each molecule the distribution of contributions is very similar for each of the definitions of Sia . For pentadiene, the largest negative contribution is from the (HOMO-1, LUMO+12) transition and the largest positive contribution is from the (HOMO, LUMO+14) transition for each of the definitions. Chlorobutene has a larger number of significant contributions that maintain the same sign across definitions and the largest magnitude contributions are consistently from a small band of 3 transitions from (HOMO, LUMO+7) to (HOMO, LUMO+9). These five largest values of Sia for the two molecules are shown in Figure . The relative magnitude is respected across different definitions of Sia , although SHemi ia provides value that are larger in magnitude for these prominent transitions (which is compensated by the remaining smaller values as their total sum adds up to the trace of the β tensor). The SMVG-M ia and SMVG-E ia distributions closely match the origin invariant SAvg ia and SHemi ia distributions, which suggests that the center of mass is a reasonable choice of origin.