Small-Angle Rayleigh Scattering of Photons at High Energies: Tabulations of Relativistic HFS Modified Atomic Form Factors

Abstract

Tabulations are presented of relativistic Hartree-Fock-8later modified atomic form factors from x = ° to 100 A-I for all elements from Z = 1 to Z = 100. These modified form factors represent the atomic Rayleigh scattering amplitudes with good accuracy at energies well above theK-sheli binding energies and small momentum transfex:s and therefore should be used instead of the normal relativistic atomic form factors In the MeV energy range.

Koherent saçılma üzerine moleküler girişimin etkisi

“…The findings suggesting the superiority of the RMFF theory have been reported earlier [16,19,[21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. It has been established both from comparison of theoretical results and from experiments that the RMFF, in general, produces better results than other choices of the FF [34].…”

“…There is also the RMFF approximation, which accounts for the correction for binding of the atomic electrons. Hubbell et al [17], Hubbell and Øverbø [18] and Schaupp et al [19] have tabulated the nonrelativistic, relativistic and relativistic modified FF for a wide range of momentum transfer and for all elements, respectively. Detailed tabulation of the atomic FF is also presented by Chantler [20].…”

Recent Advances in the Calculation and Measurement of the X-ray Dispersion Corrections

“…To reduce the computer time Kissel and Pratt (1985) used the S-matrix formalism for the inner subshellS and estimates for the outer shell contributions based on the modified form factor approach. A recent tabulation of modified relativistic form factors has been presented by Schaupp et al (1983).…”

“…where q = ..d. Recent tabulations by Schaupp et aL (1983) and Hubbell and 0verbj1l (1979) have been calculated using a screened Dirac-Hartree-Fock-Slater (DHFS) potential. In all the form factor theories a term !…”

Analytical evaluation of atomic form factors: Application to Rayleigh scattering

“…Due to this and to the wide applicability of FFs, we state that our analytical expression has a fundamental value. Besides, such an analytical expression might have also computational value, as remarked in [21]. First, numerical calculations of FF require specific programs (e.g.…”