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For a spherical half-shell (SHS) of diameter 
, analytic expressions of the small-angle scattering correlation function 
, the chord length distribution (CLD) and the scattering intensity are analyzed. The spherically averaged pair correlation function 
of the SHS is identical to the cap part of the CLD of a solid hemisphere of the same diameter. The surprisingly simple analytic terms in principle allow the determination of the size distribution of an isotropic diluted SHS collection from its scattering intensity.
, analytic expressions of the small-angle scattering correlation function 
, the chord length distribution (CLD) and the scattering intensity are analyzed. The spherically averaged pair correlation function 
of the SHS is identical to the cap part of the CLD of a solid hemisphere of the same diameter. The surprisingly simple analytic terms in principle allow the determination of the size distribution of an isotropic diluted SHS collection from its scattering intensity.
