International
Tables for
Crystallography
Volume G
Definition and exchange of crystallographic data
Edited by J. R. Hester and B. McMahon

International Tables for Crystallography (2026). Vol. G. Early view chapter
https://doi.org/10.1107/97809553602060001011

Chapter 4.2 Core dictionary (coreCIF)


Index

Core dictionary version 3.3.0

_atom_type_scat.inv_Mott_Bethe_c

Name:
_atom_type_scat.inv_Mott_Bethe_c

Definition:

   
    The set of Gaussian constant coefficient for use in the inverse Mott-Bethe
    relationship for generating X-ray scattering factors:
    c.

    f(s; Z~0~) =
    Z~0~ - 8π^2^ * r~B~ * s^2^ * {c + Sum[ a~i~ * exp(-b~i~ * s^2^), i=1:N]}

    where s = sin(θ)/λ, r~B~ is the Bohr radius, and Z~0~ is the number of
    electrons for the atom or ion. θ is the diffraction angle and λ is the
    wavelength of the incident radiation in angstroms.

    See also: _atom_type_scat.inv_mott_bethe_as
          _atom_type_scat.inv_mott_bethe_bs

    References:
     Thorkildsen, G. (2023). Acta Cryst. A79, 318-330.
     Thorkildsen, G. (2024). Acta Cryst. A80, 129-136.
     Mott, N. F. & Bragg, W. L. (1930). Proc. R. Soc. Lond. Ser. A,
     127, 658-665.
     Bethe, H. (1930). Ann. Phys. 397, 325-400.

Type: Real

Units: angstroms

Category:
atom_type_scat








































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