Radius variation

SWL schedule (including operating radius variations) displayed and adhered to ... 

In the cP2-W type (CN 8) structure Vsph is 0.68 Vat (only a portion of the available space is occupied by the atomic sphere ). In the cF4-Cu type and in the ideal hP2-Mg type (CN 12) structures, Vsph is 0.74 Vat. Considering now the previously reported relationship between RCs n and i CN8, we may compute for a given element very little volume (Vat) change in the allotropic transformation from a form with CN 12 to the form with CN 8, because the radius variation is nearly... 

Rgure 6.17. Effects of SMO (span 80) concentration in the rate of radius variation in W/OW, when Wl/O and OAV2 interfaces are at (a) visual contact and (b) no visual contact. W1 = pure water O = n-hexadecane -I-SMO, W2 = 5 10-3 lution. (Reproduced with permission from [32].)... 

The rate of arrival of oxygen molecules from the gas phase to the site near the island boundary is determined as IAll2h where h is the height of the island. The rate of island radius variations in the case where the growth is controlled by surface diffusion is... 

However, surfactants incorporated into the electrolyte solution at concentrations below their critical micelle concentration (CMC) may act as hydrophobic selectors to modulate the electrophoretic selectivity of hydrophobic peptides and proteins. The binding of ionic or zwitterionic surfactant molecules to peptides and proteins alters both the hydrodynamic (Stokes) radius and the effective charges of these analytes. This causes a variation in the electrophoretic mobility, which is directly proportional to the effective charge and inversely proportional to the Stokes radius. Variations of the charge-to-hydrodynamic radius ratios are also induced by the binding of nonionic surfactants to peptide or protein molecules. The binding of the surfactant molecules to peptides and proteins may vary with the surfactant species and its concentration, and it is influenced by the experimental conditions such as pH, ionic strength, and temperature of the electrolyte solution. Surfactants may bind to samples, either to the... 

In Sample Problem 12.4, we use the density of an element and the packing efficiency of its crystal structure to calculate its atomic radius. Variations of this approach are used to find the molar mass and as one of the ways to determine Avogadro s number. 

Taken together the most precise observations suggest an apatite closure temperature of 70°C in apatites of -70-90 pm radius. Variation of the closure temperature with grain size and cooling rate based on the Durango observations is shown in Figure 3. 

Deformations and particle radius variations induced by thermal variations are calculated in the model by the followed equations ... 

The evaporation flux induces the particle radius variation according to ... 

One may consider the material evaporation by introducing the characteristic time leading to a dR radius variation. If the process u controlled only by diffusion one has the dt time as ... 

Equation (67) must be applied at the liquid-gas interface, the radius variation being given by Eq. (54). Equation (67) may be written in the following form ... 

Prosperetti [37] has used a linearized form of (5.22) to obtain a harmonic solution for bubble radius variation. 

The Bode plot for the cathode particle radius variation at 20% SOC is shown in Figure 2 on the right, varies from 0 Qm to 0.014 2m while the phase angle attains values from 0 rad to -1.3 rad. Unlike the case of 100% SOC, there is no distinct phase shift at low frequencies. Further, Z remains nearly constant in the low frequency region. For all frequencies, the particle size s influence can be treated as neghgible. It might be stated that there is no dependency to the cathode s particle radius at low SOCs. 

Experimentally, the maximum achieved value for t is only for = 3 10 chains, which is too short for the reptation test. For = 10 and 7 -10, it is T /10. The reduced squared radius variation appears close to an exponential in all cases, and the decay times are close to the estimated (and also measured for M = 7 -10 ) stress relaxation time. But this is not a key test of the reptation theory for example, the Rouse model predicts also the same time variation of both quantities at long times (within a factor two for the terminal time). 

Fletcher (46) and also Leodidis and co-workers (37) have indicated a general method to determine the amount of the solute solubilized in microemulsions, its localization and the radius variation of the droplets induced by this solute. 

Ray transit time 5-6 Example Clad power-law profiles 5-7 Small-amplitude nonuniformities 5-8 Example Slight core-radius variations 5-9 Example Slight exponent variations 5-10 Adiabatic invariant 5-11 Example Step profile 5-12 Example Clad power-law profiles 5-13 Radiation loss... 

When dp is due to radius variations only, it follows from Eqs. (29-8)and (18-42) that the fraction of total power transferred between the fibers is... 

---