This expression is derived using a geometric model in which the bottom of the glass capillary is treated as an infinite insulating plane and equipotentials in solution are considered to be spheres centered about the drop electrode and truncated by the insulating plane.
Although this expression is derived for an a-Si1-xC x alloy system, it is believed to be valid for Si-QDSL with an a-SiC matrix, which can be considered as an approximately homogeneous material, since the dangling bond defect density in Si-QDs is much lower than that of the a-SiC matrix, and the dangling bonds on Si-QD surfaces are passivated by the a-SiC matrix.
This expression is derived ultimately from Prospero's: "We are such stuff / As dreams are made on, and our little life / Is rounded with a sleep".
Consequently, corresponding to Expression 8, Moreover, the half-life T has its own distribution with log-normal probability density function Consequently, This expression is derived in the same way as Expression 9, but using Expression 6, with D replaced by C, POD replaced by POC, and σ replaced by σ1, in place of Expression 8.
This expression is derived by solving the equations Kd,n = Ntot[P]/[NP], Kd,q = [Q][ P]/[QP] Ptot = [P] + [NP] + [QP], and Qtot = [Q] + [QP], where [P], [NP], and [QP] represent the concentrations of free protein, nonspecific sites bound to protein, and the quasi-specific site bound to protein, respectively.
However, this expression was derived for columns subjected to equal end eccentricities, i.e., the maximum moment occurs at the mid-height point of the column.
This expression was derived using the grating equation and the small angle approximation.
In this paper a simple expression is derived to estimate the flame jet width and flame jet velocity of burnt gases of a free flame after expansion over the flame front for the special case of plug flow in and above the burner.
In this work, a closed form expression is derived to describe thermal conductivity of dry catalyst layers (CLs) used in automotive polymer electrolyte membrane fuel cells (PEMFCs).
In this section, therefore, a mathematical expression is derived for the Bulmer-equilibrium response, accuracy and additive genetic variance with genomic selection.
A simple expression is derived in this work that enables one to predict the parametric dependence of the diffusion coefficient ratio (Dap/D) on the 'key-factor' for insertion/extraction processes.
