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Problems of gyration radius of the cluster

Hi all,

I use "Cluster analysis" to compute the gyration radius of each cluster, and the results contains one gyration radius and six gyration tensor for each cluster, i.e. Rg, Rxx, Ryy, Rzz, Rxy, Rxz, Ryz. I found that Rg^2 ≠ Rxx^2 +Ryy^2+Rzz^2, could you please tell me how Ovito compute the Rg, thanks

Please note that the elements Rij of the gyration tensor have units of squared length whereas the radius of gyration Rg is a length. The relationship between the two is: Rg2 = Rxx + Ryy + Rzz.