The accurate interpolation of atomic scattering factors
- 1 November 1966
- journal article
- Published by Walter de Gruyter GmbH in Zeitschrift für Kristallographie
- Vol. 123 (5) , 373-381
- https://doi.org/10.1524/zkri.1966.123.5.373
Abstract
The interpolation of atomic scattering factors is discussed. Analytical approximations by the method of orthogonal polynomials and by Lagrangian interpolation are presented and are compared with methods reported previously. The accuracy of interpolation is estimated and an application of the technique in the calculation of structure factors is suggested, particularly with reference to small computers. The working range is restricted to values of (sin θ)/λ between 0 and 0.7.Keywords
This publication has 9 references indexed in Scilit:
- The crystal structure of euphenyl iodoacetateActa Crystallographica, 1966
- Analytic constants for atomic scattering factorsActa Crystallographica, 1963
- A useful analytic approximation to atomic and unitary atomic scattering factorsActa Crystallographica, 1960
- On an analytic approximation to the atomic scattering factorActa Crystallographica, 1959
- A polynomial approximation of atomic scattering factor curvesActa Crystallographica, 1958
- Analytical representation of atomic scattering factorsActa Crystallographica, 1957
- New calculations of atomic scattering factorsActa Crystallographica, 1955
- Some calculations of atomic form factorsActa Crystallographica, 1954
- X-ray scattering by aggregates of bonded atoms. I. Analytical approximations in single-atom scatteringActa Crystallographica, 1951