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The hydrodynamic radius, the translational diffusion coefficient, and the frictional ratio of the unhydrated particle can be directly computed using the Stokes Einstein relation (eq 3), and using the same equation, and the computed volume, the frictional coefficient of the minimal sphere can be calculated.
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With the size of the sphere, its average atomic mass, and its atomic spacing known, the required sphere diameter can be calculated with sufficient precision and low uncertainty to enable it to be finish-polished to a target mass of one kilogram.
The contact area of the sphere-on-plane can be calculated on the basis of continuum elasticity models for deformable spheres such as JKR [21] or DMT-M model [22], which also gives a good approximation for ellipsoids providing R1/R2 ~ 1 [19].
Fortunately, all of the hollow spheres obtained through this method can be analyzed and simulated with the help of our established geometric model, and the size and number of the windows on the hollow sphere surface also can be calculated accurately.
Despite the fact that particle rotation brings about major changes locally, the surface-averaged heat transfer rates are not influenced appreciably even at high rotational speeds; consequently, it is shown that the total heat transfer rates associated with rotating spheres with surface blowing can be calculated from heat transfer correlations developed for flow over evaporating droplets.
Spheres are then fitted to these data points, and from these spheres the femoral head penetration can be calculated.
These averaged profiles were the basis for a model through which the flow profile inside the packing can be calculated for spheres, cylinders and rings.
Using this methodology, the intersection angle of this sphere with the h = 0 axis can be calculated according to {Z}_0=frac{r^2+{left( h(r)right)}^2+{left({h}_0right)}^2}{2left( h(r -{h}_0r -{h)}_0righttheta =mathrm{acos}left(frac{Z_0}{h_0+{Z}_0}right).
On the basis of the assumption that all released hypochlorite reacted with APF, it can be calculated that at least ∼4 μM hypochlorite/mM chlorite escaped from the reaction sphere at pH 7.0.
FD can be calculated for an individual protein by plotting M contained inside concentric spheres of radius R from the CM of the protein, on a log-log scale.
From these can be calculated the ellipticity or deviation from a perfect sphere of the planet and its departure from an ellipsoidal shape.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com