It should be noted that the shape of the spin density of the hydrated electron at each instant is distorted from its spherical shape. While spherically averaged g(r) values provide a simplified picture, one can obtain a more rigorous metric by integrating the first peak to get a mean number of water molecules. Our AIMD simulations give coordination numbers of 3.97 and 3.76 for the e - aq -O w and e - aq -H w radial distribution functions in solvated PFOA, and 4.62 and 4.30 for the corresponding radial distribution functions in PFOS. The higher coordination number for e - aq in solvated PFOS system indicates a more compact solvation shell structure, which supports our previous discussion on water being more strongly bound to the e - aq cavity in PFOS.