Diffraction from large spheres

For some typical modes of scattering from large spherical particles (f >5), simple formulations of phase functions can be obtained. These modes include scattering from a specularly reflecting sphere, scattering from a diffuse reflection sphere, and scattering by diffraction from a sphere. 

To account for the total directional scattering from a large sphere, effects of both diffraction and reflection must be considered. When a spherical particle is in the path of incident radiation, the diffracted intensity may be obtained from Babinet s principle, which states that the diffracted intensity is the same as that for a hole of the same diameter. The phase function for diffraction by a large sphere is given by [Van de Hulst, 1957]... 

Figure 4.5c. Phase function for diffraction from a large sphere.

FIGURE 13 The molecular structure model of Sc3C2 C8o along the Sio axis determined by the MEM/Rietveld method from the synchrotron X-ray power diffraction data. The large atoms forming a triangle are Sc, and the central sphere represents C2 molecule averaged by rotation. 

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