The Joint Probability Distribution of Three Structure Factors Leading to a Distribution for the Triplet Phase Sum

  • René Peschar
Part of the NATO ASI Series book series (NSSB, volume 274)


After a short explanation of the basic probabilistic terminology, in this paper a method will be discussed to derive a joint probability distribution of three structure factors via its characteristic function. Assuming an a priori probabilistic model of uniformly and independently distributed atoms, the calculations result in the well-known Cochran distribution for the triplet phase sum.


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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • René Peschar
    • 1
  1. 1.Laboratory for CrystallographyUniversity of AmsterdamAmsterdamThe Netherlands

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