Conditional joint probability distribution functions P(phi1, ... , phi(n)\R1,.. . , R(n),. . . , R(p)) of any set of n phases given any set of p diffraction moduli are calculated. The distributions include terms up to order 1/ N and involve both triplet and quartet contributions. Two types of formulae are derived, which may be considered as developments of two mathematical approaches described by Hauptman [Acta Cryst. (1975). A31, 680-687] and by Giacovazzo [Acta Cryst. (1975). A31, 252-259; Acta Cryst. (1976). A32, 91-99] for the estimation of the quartet invariants
The Joint Probability Distribution of Any Set of Phases Given Any Set of Diffraction Magnitudes. I. Theoretical Considerations
BURLA, Maria Cristina;
1992
Abstract
Conditional joint probability distribution functions P(phi1, ... , phi(n)\R1,.. . , R(n),. . . , R(p)) of any set of n phases given any set of p diffraction moduli are calculated. The distributions include terms up to order 1/ N and involve both triplet and quartet contributions. Two types of formulae are derived, which may be considered as developments of two mathematical approaches described by Hauptman [Acta Cryst. (1975). A31, 680-687] and by Giacovazzo [Acta Cryst. (1975). A31, 252-259; Acta Cryst. (1976). A32, 91-99] for the estimation of the quartet invariantsFile in questo prodotto:
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