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Theoretical Estimation of the Fourth-Order XRF Intensity

Published online by Cambridge University Press:  06 March 2019

J. E. Fernandez  and
V. G. Molinari
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
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Abstract

A theoretical expression for the fourth-order XRF-intensity has been found using the transport theory. An exact solution of the Boltzmann equation for the photon flux in a semi-infinite homogeneous medium has been applied iteratively to find the intensity, XRF emission has been isolated from the scattering processes by considering only the photoelectric effect in the interaction kernel. The incident and emitted beams have been assumed as well-collimated.

Fourth-order intensity computations for a multicomponent material are reported as an example. Results show that the fourth-order intensity remains below a tenth of the tertiary and therefore may be neglected in most cases.

Type
Research Article
Information
Advances in X-Ray Analysis , Volume 33: Thirty-Eighth Annual Conference on Applications of X-ray Analysis, July 31 - August 4, 1989 , 1989 , pp. 573 - 580
Copyright
Copyright © International Centre for Diffraction Data 1989

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References

1. Fano, U., Spencer, L. V. and Berger, M. J., Penetration and Diffusion of X-Rays, in: “Handbuch der Physik” vol XXXVIII/2, S. Flugge, ed., Springer, Berlin (1960), and references therein.Google Scholar
2. Pomraning, G. C., “The equations of radiation hydrodynamics”, Pergamon Press, Oxford (1973).Google Scholar
3. Fernandez, J. E., Molinari, V. G. and Sumini, M., Nucl. Instr. and Meth. in Phys. Res. A (1989), to appear.Google Scholar
4. Fernandez, J. E., submitted.Google Scholar
5. Fernandez, J. E., Molinari, V. G. and Sumini, M., in this volume.Google Scholar
6. “The MACSYMA Reference Manual”, (Version 14.2), Symbolics (1988).Google Scholar
7. Sherman, J., Spectrochim. Acta 7: 283 (1955).Google Scholar
8. 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