ON THE Z$sup 2$-DEPENDENCE OF THE X-RAY PRODUCTION CROSS SECTION BY 5-MeV/ amu HEAVY IONS. Page: 4 of 11
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4
following systematic trends: (i) for each projectile R changes from
value > I to values < 1 at ( ' 0.25; (ii) For each value of o the value
of JR-1 increases with increasing Z1; (iii) The behavior of R is
approximately the same for K and L u-rays. It is interesting to note
that the same systematic trend can be observed in the data reported in
Ref. 4 obtained with quite different projectiles, targets, and eneTSGao
Also the data reported in Ref. 3 agree with the observed yeyatis in
the sense that a >; 1 for t > 0.25.
The fact that R 0 1 can be dune to a Z-dependence of the fluorescence
yield w or it can indicate that a does not scale as Z2. Moo% probably
both effects have to be taken into account.
From the energy shifts observed in the x-ray lines5) it is. clear
that the number of multiple inner shell vacancies created simultaneously
with a K shell vacancydends on the Z of the projectile and this will very
lihely lead to a Z dependence of w. For Zr, Sn and Nd the average number
of additional L vacancies created by 5 MeV/amu Ue ions is approximately .,
while for Fe this number would be 2 to 3. In order to estimate the
effect of multiple vacancies on the fluorescence yield, we assume that the
L L radiative transition rate is proportional to the number of L electrons,
that the non-radiative rate is proportional to nY(n -l), and that the
Ingle particle transition probabilities are not affected by multiple inner
hell vacancies. Using this oversimplified model, the effect of one addi-
tional L-shell vacancy for Sn on the fluorescence yield is SL This leads
us to the assumption that the effect of the multiple vacancies on the
fluorescence yield for Zr. Sn, and Ndi is rather emall and that the observed
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van der Woude, A.; Saltmarsh, M.J.; Ludemann, C.A.; Hahn, R.L. & Eichler, E. ON THE Z$sup 2$-DEPENDENCE OF THE X-RAY PRODUCTION CROSS SECTION BY 5-MeV/ amu HEAVY IONS., report, October 31, 1972; Oak Ridge, Tennessee. (https://digital.library.unt.edu/ark:/67531/metadc1034401/m1/4/: accessed April 24, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.