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cRadius of equivalent sphere.
The validity of the concept of equivalent sphere introduced by Aris in 1957 to multicomponent reacting systems is investigated in this paper.
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From the pre-operative MRI volumes, we calculated the average radii of equivalent spheres of the T1-Gd and T2 volumes for each of the 70 patients.
From these volumes we calculated the radii of equivalent spheres, and these radii were the only data entered into the mathematical formulations.
Stankovich et al. [27] reported that functionalized graphene nanoplates treated with isocyanate show an AHD of 560 ± 60 nm, which is not their average dimension but rather the effective hydrodynamic diameter of an equivalent sphere described by the tumbling of the platelets.
From the perimeters, the radius of the equivalent sphere was calculated and used to estimate surface areas and volumes.
During floc growth, changes in the scattering exponent, an indicator of a flocs' degree of compaction, were reflected by changes in the particle size (diameter of a volume equivalent sphere).
Electron micrographs showed that the aerosol was composed of agglomerates with an equivalent sphere diameter of approximately 30 nm.
This is applied to the ellipsoid using an algorithm which consists of creating an equivalent sphere for the deforming body, applying the contact law followed by an evolution law, which describes how the local contact flattening changes the shape of the body during successive impacts.
E around Cl in ClF and then around M* of the series under consideration exhibits an ellipsoidic shape with an equivalent sphere of influence radius (rE) increasing along with the atomic number Z, i.e. rE_F = 0.52 Å, rE_Cl = 0.65 Å and rE_Br = 0.70 Å.
Data of the z-average radius of gyration as well as equivalent sphere radii such as the hydrodynamic radius (RH), the viscometric radius (RV), and the thermodynamic radius (RT) give some evidences of sphere-like structure.
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