Some Statistical Applications in X-ray Crystallography

acentric distribution Acta crystallogr anomalous scatterers basic distributions best Fourier Bijvoet difference Booth-type centre of symmetry centric centrosymmetric and non-centrosymmetric centrosymmetric crystal Chapter characteristic function conditional distribution considered coordinates corresponding crystal structure crystallographic cumulative function curves defined denote derived discrepancy indices errors evaluated Hargreaves Hauptman heavy atoms heavy-atom higher moments hkl reflections integration isomorphous replacement joint distribution Karle Luzzati method non-centrosymmetric crystal non-centrosymmetric NC normalized intensity number of atoms obtained P-atoms P-group P(FN P(YN pair of crystals parameter Parthasarathy Parthasarathy and Parthasarathi phase angle Probability distribution function quantity R₁(F R₁(I Ramachandran random variable ratio reflection H scattering factors semi-cumulative functions space groups Srinivasan structure amplitudes structure factor symmetry elements systematic absences Theoretical expressions tion triclinic unit cell variance weighting function Wilson distributions x1 and x2 zones σ₁ στ