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Multiple Scattering and the Polarization of X-Rays

Published online by Cambridge University Press:  06 March 2019

John D. Zahrt
Affiliation:
Chemistry Department, Northern Arizona University, Flagstaff, AZ 86011
Richard Ryon
Affiliation:
Lawrence Livermore Laboratory, University of California, Livermore, CA 94550
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Extract

In order to improve the overall performance of energy dispersive x-ray secondary emission spectrometry one can make use of polarized x-rays. We have used polarized x-rays produced by 90° scattering to reduce the background intensity due to the primary x-ray source.

An effort has been made to optimize the polarizing scatterer for the elements being analyzed. A discrepancy appears in the theory of such optimization between a simple one point formula and a more elaborate integral formula. Possible reasons for such disparities might lie in 1) collimator geometric effects, 2) multiple scattering and 3) actual primary intensity. The first problem has been dealt with in an unpublished manuscript. This report concerns itself with point 2, multiple scatter, and in particular with double scatter including polarization effects.

Type
Research Article
Copyright
Copyright © International Centre for Diffraction Data 1980

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References

Page 345 note 1 Ryon, R., Adv. in X-Ray Anal., 20, 575590 (1977).Google Scholar

Page 345 note 2 Ryon, R. and Zahrt, J., Adv. in X-Ray Anal., 22, 453460 (1979).Google Scholar

Page 345 note 3 See for example DuMond, J., Phys. Rev. 36, 1685-1701 (1930) for the classic work and Tanner, A. and Epstein, I., Phys. Rev. 13A, 335348 (1976); 14A, 313327 (1976): 14A, 328340 (1976) for current work.Google Scholar

Page 346 note 4 See however Wightman, A., Phys. Rev. 74, 1813-1817 (1948) or Nishina, Y., Zeits. f. Phys. 52, 869877 (1929).Google Scholar

Page 348 note 5 Abramowitz, M. and Stegun, I., “Handbook of Mathematical Functions”, U.S. Goverment Printing Office, Dept. of Commerce, 1964.Google Scholar

Page 348 note 6 See for example Cohen, A., “Numerical Analysis”, John Wiley, New York 1973 or Arden, B. and Astill, K., “Numerical Algorithms”, Addison-Wesley, Reading, Mass., 1970.Google Scholar