Hostname: page-component-848d4c4894-cjp7w Total loading time: 0 Render date: 2024-06-30T14:35:37.392Z Has data issue: false hasContentIssue false

Corrections for the Effect of Scattering on XRF Intensity

Published online by Cambridge University Press:  06 March 2019

J. E. Fernandez
Affiliation:
Laboratorio di Ingegneria Nucleare di Montecuccolino Universita di Bologna Via dei Colli 16, 40136 Bologna, Italy
V. G. Molinari
Affiliation:
Laboratorio di Ingegneria Nucleare di Montecuccolino Universita di Bologna Via dei Colli 16, 40136 Bologna, Italy
M. Sumini
Affiliation:
Laboratorio di Ingegneria Nucleare di Montecuccolino Universita di Bologna Via dei Colli 16, 40136 Bologna, Italy
Get access

Abstract

Corrections for scattering on XRF intensity have commonly used integral approaches and isotropic approximations, which give a limited knowledge on this subject. An exact theoretical expression for XRF enhancement due to coherent and incoherent scattering is presented in this paper. It has been obtained as a solution of the Boltzmann transport equation for photons. This equation describes the diffusion of photons in an infinite homogeneous target. Both the excitation and the emission beams have been assumed to be well collimated. The solution accounts for the mixed, scattering and photoelectric interactions. Complete kernels including atomic form factors have been used for both types of scattering. An appropriate kernel has been written for the photoelectric interaction. The correction is computed for several pure elements and is compared with isotropic approximations.

Type
Research Article
Copyright
Copyright © International Centre for Diffraction Data 1989

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Keith, H. D. and Loomis, T. C., X-Ray Spectrom. 7: 225 (1978).Google Scholar
2. Fano, T. J., Spenear, L. v. and Berger, M. J., Penetration and Diffusion of X-Rays, in: “Kandbuch der Physik“vol XXXVIII/2, S. Fluggefed., Springer, Berlin (1960), and references therein.Google Scholar
3. Pomraning, G. C., “The equations of radiation hydrodynamics“, Pergamon Press, Oxford, (1973),Google Scholar
4. Fernandez, J. E., Molinari, V. G. and Sumini, M., Nucl. Instr. and Meth. in Phys. Res. A (1989), to appear.Google Scholar
5. Fernandez, J. E., submitted.Google Scholar
6. Hubbell, J. H., Veigele, w. J., Briggs, E. A., Brown, R. T., Cromer, D. T. and Howerton, R. J., Phys. Chem. Ref. Data 4:471(1975).Google Scholar
7. Hubbell, J. H., McMaster, W. H., Kerrdel Grande, N. and Mallett, J. H., X-Ray cross sections and attenuation coefficients, in:“International Tables for X-Ray Crystallography”Vol 4, Ibers, J. A. and Hamilton, W. C., ed., Kynoch Press, Birmingham (1974).Google Scholar
8. Veigele, W. J., Tracy, P. T. and Henry, E. M., Am. J. Phys. 34: 1116 (1966).Google Scholar
9. Evans, H. D., The Compton Effect, in: “Bandbuchaer. Physik“ Vol XXXIV, S. Flugge, ed., springer, Berlin (1958).Google Scholar
10. Press, W. H., Flannery, B. P., Teukolsky, S. A. and Vetterling, W. T., “Numerical Recipes. The Art of Scientific Computing“, Cambridge University Press, Cambridge (1986).Google Scholar