It is based on Ch. Matanos theoretical method to obtatn more exact and generalized theory on intensity distributions of X-Ray diagrams of the fibers, and it performed to take account of Lorentz Factor.
By the way. rotational and powder methods are corresponded with extreme cases in this paper, an so we expect that these two methods may be expressed with a present theory.

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A grand canonical average of a T product of Bose (or Fermi) field operators over free particle state is found to be isomorphic to an average of a product of Gaussian (or Clifford) random functions. This property enables one to express a grand partition function in quantum statistical mechanics as an average of a functional of Gaussian (or Clifford) random functions.
Applications of the present method to the problems of statistical mechanics are discussed.

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