Radial electron-density profile

In the following the isoscattering point shall be discussed for a monodisperse core-shell sphere. The radial electron density profile is displayed in Fig. 1. There is a shell of three nanometers thickness in which the electron density is increased by 20 electrons /nm. ... 

The circles denote the experimental result whereas the solid line give the intensity calculated with the radial electron density profile shown in the inset. The data have been taken from Ref. [49]... 

Figure 10.3 The simulated radial electron-density profiles Ap(r) (a), pair-distance distribution function p(r) (b), and the scattering curves l q) (c) for a monodisperse spherical particle having (i) a homogeneous electron-density distribution (circle), (ii) the...

Figure 10.6 The radial electron-density profiles Ap(r) for the spherical micelles in the EC,/Sii4C3E033i [x = 7 and 9) systems (a) and those in the EC,/Sii4C3E05i [x= 1-14) systems (b) at 60°C calculated by a...

The capability of combined nanoscale spatial and millisecond time resolution provided by SAXS is clearly revealed by a study involving the absorption of bovine serum albumin (BSA) onto spherical polyelectrolyte brushes (SPB). The experiment also highlighted the requirement of an advanced modeling capability for the complete exploration of the time-resolved SAXS data. The quantity of absorbed protein per brush as a function of time was provided from the radial electron density profile of SPB, which has been previously derived from the time-resolved SAXS intensities. Furthermore, an unexpected subdiffusive motion of proteins in the tethered polyelectrolyte brushes has been revealed. A quantitative explanation of this sub-diffusive mode can be approached in terms of a simple model involving direct motions of proteins enclosed in the effective interaction potential of the polyelectrolyte chains. 

To investigate the internal density distribution inside the micelle, the radial electron-density distribution profile, Ap(r), was calculated by the deconvolution... 

The MPRES simulator has been validated by comparing predictions to experimental data taken in a Gaseous Electronics Conference (GEC) reference cell [155]. Predicted [101] (lines) and measured [156] (points) radial profiles of electron density, electron temperature, and plasma potential for a chlorine plasma are shown in... 

By using the same set of rate constants for the steady-state equations of all main ions, consistency was achieved in that d[X ]/dt = 0 was obtained at all radial distances (Lindinger, 1973). In Eq. (10), the values for the diffusion term as well as the values for the reaction terms are known from the measured profiles of the Ar+ ions thus, the term e[Ar][e/-] can be calculated, so that the radial dependence of the density of the fast electrons [ey] was obtained—of the order of 10 cm, increasing from the central axis of the negative glow (r = 0) toward its edge at about r = 4 mm. From the steady-state equation of H3O+,... 

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