DERIVATION OF THE JOINT PROBABILITY-DISTRIBUTION OF STRUCTURE-FACTOR COMPONENTS WITHOUT ASSUMING INDEPENDENT ATOMS - RELATION TO THE SPARSE-DENSITY PRINCIPLE
P. Verwer et al., DERIVATION OF THE JOINT PROBABILITY-DISTRIBUTION OF STRUCTURE-FACTOR COMPONENTS WITHOUT ASSUMING INDEPENDENT ATOMS - RELATION TO THE SPARSE-DENSITY PRINCIPLE, Acta crystallographica. Section A, Foundations of crystallography, 52, 1996, pp. 712-716
In this paper, a number of equations based on the sparse-density princ
iple [Verwer, Krabbendam & Kroon (1991). Acta Cryst. A47, 143-144] are
given. The corresponding joint probability distributions (j.p.d.'s) a
re derived, both with the assumption of independent atoms and without.
It is concluded that the sparse-density principle is equivalent to th
e assumption of independent atoms, which leads to the neglect of n-ato
m interactions for which r(1) +/- r(2) +/-...+/- r(n) (mod1), which wo
uld influence the nth-order moments that appear in the j.p.d.