Atomic Scattering Factor for Electrons of Atoms with Aspherical Charge Distribution

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The effect of aspherical electron distribution on the atomic scattering factor for electrons was studied. General formulae of atomic scattering factors f_e(s) for electrons and f_X(s) for X-rays were derived on the basis of Weiss and Freeman’s method of calculation [J. Phys. Chem. Solids 10 (1959) 147]. In the case of electron scattering the value of \displaystylelim_s→0f_e(s) depends on the direction along which s tend to the limit. The anisotropies of f_e(s) and f_X(s) due to p-electrons in atoms of the second period of the periodic table were compared.