?Show that it is possible to define the radius of gyration \(R_{\mathrm{g}}\) as the

Chapter 14, Problem P14D.6

(choose chapter or problem)

Show that it is possible to define the radius of gyration \(R_{\mathrm{g}}\) as the average root-mean-square distance of the atoms or groups (all assumed to be of the same mass), that is, that \(R_{\mathrm{g}}^{2}=(1 / N) \Sigma_{j} R_{j}^{2}\), where \(R_{j}\) is the distance of atom j from the centre of mass.

Text Transcription:

R_g

R_g^2=(1/N) Sigma_j R_j^2

R_j

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