Pair-distance distribution function

It is conventional to express tlie stmctiiral infomiation in temis of a pair distance distribution function, or PDDF [5], which is defined by p(r) = p-P(r). Using this, equation (Bl.8.10 becomes... 

The function p(r) represents the frequency of vector length r connecting small volume elements within the volume of the scattering particle, that is, the protein molecule, with maximum dimension Dmax- As the use of the Guinier approximation for the determination of the radius of gyration, Rg, might lead to errors caused by concentration or aggregation effects, we used the normalized second moment of the pair distance distribution function for calculation of R, ... 

For a particle of an arbitrary shape having a scattering density difference of Ap(r), the pair-distance distribution function (PDDF) is given by... 

Figure 2.6 (a) The X-ray scattered intensities, l q), of the 5 wt% CioCi/liquid paraffin in absolute unit at different temperatures (50, 55, and 60°C), and (b) the pair-distance distribution functions (PDDFs), p(r), extracted from these scattering curves with the GIFT method. Solid and broken lines in (a) represent GIFT fit and the calculated (total) form factor for n particles... 

Figure 2.22 The model-free cross-sectional (core) structure analysis, (a) The cross-sectional pair-distance distribution functions, Pc(r), for the Ci4C2/oil systems with octane,...

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 10.5 The pair-distance distribution functions (PDDFs), p(r), of the EG /SinCsEOss, systems (a) and those of the EG /SinCjEOs, s systems (b) at 60 C. The concentration of SinCjEO in EG, is fixed to 2 wt%.

The pair distance distribution function p r) obtained in small-angle scattering from the form factor P q) is analogous to the distance distribution P r) obtained in... 

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