论文信息 - Effect of short wavelength interference on neuteron scattering by dense systems of heavy nuclei

Effect of short wavelength interference on neuteron scattering by dense systems of heavy nuclei

The interference term in the expression for the total cross section for scattering of neutrons by dense systems of heavy nuclei is investigated in the region of small wavelength. Asymptotically, this term has the form δσσ=-(λ2ρ238π)I, where λ is the neutron wavelength and ρ the number of particles per unit volume. The discussion of the coefficient, I, and its evaluation for various systems is the main object of the paper. It is based on an extension to general systems of particles of Ewald's method for the calculation of lattice sums. For any system, I is found to be smaller than 3. It remains very near to this value for all systems not too far removed from conditions of close packing. The cases of ideal lattices, real crystals with thermal disorder, and liquids are treated in detail. © 1951 The American Physical Society.

[1] O. Chamberlain. Neutron Diffraction in Liquid Sulfur, Lead, and Bismuth , 1950 .

[2] H. Hendus. Die Atomverteilung im flüssigen Quecksilber , 1948 .

[3] H. Hendus. Die Atomverteilung in den flüssigen Elementen Pb, TI, In, Au, Sn, Ga, Bi, Ge und in flüssigen Legierungen des Systems Au-Sn , 1947 .

[4] M. Born,et al. On the stability of crystal lattices. IV , 1940, Mathematical Proceedings of the Cambridge Philosophical Society.

[5] J. Kirkwood. Statistical Mechanics of Fluid Mixtures , 1935 .

[6] Janet E. Jones,et al. On the Calculation of Certain Crystal Potential Constants, and on the Cubic Crystal of Least Potential Energy , 1925 .

[7] J. D. Boer. Molecular distribution and equation of state of gases , 1949 .

[8] M. Born. Theoretical investigations on the relation between crystal dynamics and x-ray scattering , 1942 .

[9] P. Ewald. VII. Das „reziproke Gitter“ in der Strukturtheorie , 1921 .

[10] P. P. Ewald. Die Berechnung optischer und elektrostatischer Gitterpotentiale , 1921 .