Elsevier Science Home
Computer Physics Communications Program Library
Full text online from Science Direct
Programs in Physics & Physical Chemistry
CPC Home

[Licence| Download | New Version Template] accn_v1_0.gz(4 Kbytes)
Manuscript Title: Rayleigh self consistent relativistic form factors and modified form factors.
Authors: D. Schaupp, M. Schumacher, F. Smend
Program title: RAYLEIGH DHFS RFF AND MRFF
Catalogue identifier: ACCN_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 32(1984)413
Programming language: Fortran.
Computer: UNIVAC 1100/83.
Operating system: EXEC 8, VMS 3.2.
RAM: 18K words
Word size: 36
Keywords: Atomic physics, Gamma ray, Scattering, Rayleigh scattering, Relativistic form factor, Relativistic modified Form factor, Self consistent dhfs, Photon.
Classification: 2.5.

Subprograms used:
Cat Id Title Reference
AAKB_v1_0 HEX CPC 2(1971)107

Nature of problem:
This program performs calculations of the form factors and modified form factors for the elastic scattering of gamma rays by the electrons of a complete subshell of an atom using the wave functions, the atomic potential and the energy eigenvalues calculated by the self-consistent field program of Liberman et al.

Solution method:
The form factor is evaluated by a numerical integration.

Restrictions:
The DHFS wave functions of the electronic subshells, the electrostatic potential and the binding energies as calculated by the program of Liberman et al. or any other code producing radial wave functions on a logarithmic mesh are needed as input data.

Unusual features:
The integrand contains the oscillatory function sin(kr) as a factor which, at large values of k, may cause errors due to the cancellation of terms. Using cubic spline interpolation of the remaining factors of the integrand, this type of error is virtually eliminated, resulting in high numerical accuracy of the integrals.

Running time:
A few seconds.