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[1]
                             Paul Peter Ewald, FRS (January 23, 1888
                             in Berlin, Germany – August 22, 1985
                             in Ithaca, New York) was

                             a German crystallographer and physicist, a

                             pioneer of X-ray diffraction methods












       The Ewald sphere is a geometric construction used in electron, neutron, and X-

       ray crystallography which demonstrates the relationship between:




           1. the wavevector of the incident and diffracted x-ray

                  beams,

           2. the diffraction angle for a given reflection,

           3. the reciprocal lattice of the crystal
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