X-Ray Study of Lattice Vibrations in Aluminum

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Abstract
The diffuse scattering of monochromatic x-rays by a single crystal of aluminum at 300°K has been measured along seven lines in reciprocal space. Analysis of these data in terms of the Laval-James theory has yielded dispersion curves for elastic waves propagating along the three primary symmetry axes. By interpreting these dispersion curves in terms of the Born theory of lattice vibrations, values have been obtained for the nine force constants necessary to describe the general first-, second-, and third-neighbor interactions. These force constants have served as criteria in rejecting the simpler models of atomic interactions generally employed.