Before revision:  The differnce in the scaling exponent of specific part of the protein entails a distinct vibrational localization property and consequentely a discrepancy in the vibrational energy exchange ) with d \sim 1.8, whereas those associated to non-bonded contacts result simply localized with d \sim 1.}
After revision:  The differnce in the scaling exponent of specific part of the protein entails a distinct vibrational localization property and consequentely a discrepancy in the vibrational energy exchange process showing the collective motions on the backbone present a superlocalized nature as their decay with the distance r is exp(-r^{d) with d \sim 1.8, whereas those associated to non-bonded contacts result simply localized with d \sim 1.}