The filling fraction of spheres for the self-assembled photonic crystals, featuring a close-packed FCC structure, is 0.74, which is impossible to change for the self-assembly approach.
To measure the fraction of sphere-forming cells where μ equals the number of positive wells and r equals the total number of wells, the Poisson discrete distribution probability was used where negative wells (F o= e− μ) and positive wells (F1=μ e− μ) are plotted as a semi log plot (Lefkovits and Waldmann, 1999).
After three weeks, mammospheres were counted to evaluate the effect of 3 Gy daily fractions on sphere formation/number of CICs.
Since only a small fraction of prostate sphere cells and prostate colony cells are capable of replating to respectively form secondary spheres and colonies, they may represent a committed basal progenitor population, or transit-amplifying cells [49].
When the matching thickness is 4 mm, the calculated reflection loss of the sample with 70% volume fraction of Fe3O4 carbon sphere composite exhibits a broad microwave absorption ranging from 2.5 to 18 GHz.
By increasing the fraction of the sphere particles, the extinction intensity of the peak at ca. 410 nm grows a lot.
The Maxwell Garnett mixing rule is obtained by substituting equation (15) into (14), ε − 1 ε + 2 = f s ⋅ ε s − 1 ε s + 2 (16)where fs is the volume fraction of the sphere.
The response time of the sensing chemistry within the spheres is primarily dependent on the diffusivity of hydrogel, the size of the spheres, and the porosity (volume fraction) of the spheres for whatever system they are placed in.
These results are in agreement with prior studies of Hg sorption on Fe(III) oxides that interpreted most sorbed Hg as inner-sphere complexes with a smaller fraction of outer-sphere complexes.
The fraction of broken spheres as a function of the applied strain were computed from experimental values of the Weibull parameters for the strength of the spheres, and the local stress computed in the simulations.
