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The small-angle scattering correlation function of the hemisphere |
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| Authors: | Wilfried Gille |
| Affiliation: | Department of Physics, Martin-Luther-University Halle-Wittenberg, SAS-Laboratory, Hoher Weg 8, D-06120, Halle, Germany |
| Abstract: | The analytical expression of the correlation function of the hemisphere is given. The calculation is based on the chord length distribution of this figure, calculated by the author. It is discussed here, too. Details of these structure functions at certain r-positions are analyzed. An expansion into a Taylor series at r=0 is possible. The first coefficients are given. The asymptotic scattering intensity I∞(h) is formulated and compared with that of the hemisphere in a Porod plot. |
| Keywords: | Set covariance Chord length distribution Asymptotic expansion of a Fourier transform |
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