Nearest neighbor distribution

Fig. 6.17. The nearest neighbor distribution function for randomly dispersed sites (solid line). The associated pair distribution (dashed line) applies when there is a Coulomb attraction between oppositely charged states.

The luminescence efficiency is given by the fraction of electron-hole pairs which are created farther than R from the nearest defect (Street et al. 1978). The distribution of distances is the nearest neighbor distribution function, G R), for randomly dispersed defects, which is (Williams 1968)... 

SEXAFS can provide nearest neighbor distributions, giving the number and interatomic distances of surface atoms... 

Table VI. Nearest Neighbor Distribution around Alloy Interstitial Sites...

A. Nearest-Neighbor Distribution Function and Pair Correlation Function... 

The situation is complicated by the fact that each experimental data set is only a limited and random representation of the true distribution. Therefore, from an experimental data set the true distribution can never be derived but only approximated. This approximation is referred to as the estimator. Particular obstacles in deriving estimators from experimental data sets are presented by edge effects (Diggle, 1983 Karlsson and Liljeborg, 1994). For an object set that is confined to a region W, the edge-corrected estimator d r) for the nearest-neighbor distribution function is calculated as ... 

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