“…1a and c, respectively), we can relate their average R g , which are obtained as 3.93(3) and 2.93(2) Å, respectively, from the data in Table 3, to their average crystallographic radii, R, by R ¼ ffiffi 5 3 q R g [82]. For the Keggin systems, the R calculated in this manner is 5.1 Å, which is within the range of literature values (5.0-5.8 Å) [6,7,12,79,[83][84][85][86][87][88]. For the Lindqvist hexatungstates, the calculated R of 3.8 Å is consistent with the 4.0 Å envelope radius determined as the average distance between the central oxygen atom to the 6 terminal-oxo atoms for the structure illustrated in Fig.…”