Synchrotron-based high-pressure research in materials science Page: 3 of 9
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Equation 1 utilizes only the isotopic 240Pu/239Pu ratios of the spike, the spiked solution, and the
unknown solution. To enhance the IDGS capability, we are developing a generalization of the IDGS
technique that allows the calculations of the concentration of plutonium in the unknown solution
using other plutonium isotopic ratios in addition to the isotopic 240Pu/239Pu ratio.
The generalized equation for the concentration of plutonium in the unknown solution then can be
M Wi R' -RU
C(Pu)" = " mS "' , (2)
jV W. R - Rj
M, = mass of plutonium in the spike
Vu = volume of dissolver solution taken
WS = weight fraction of isotope i in the spike
Wu = weight fraction of isotope i in the unknown solution
Rj' = the ratio of isotope j to isotope i in the spiked solution
Rs" = the ratio of isotope j to isotope i in the spike
RUY = the ratio of isotope j to isotope i in the unknown solution
i, j = plutonium or americium isotopes (238Pu, 239Pu, 240Pu, 241Pu, 241Am)
This equation is (i, j) symmetrical. That is,
MS Ws (R,'-R7) _M W i RK R M W -R R
C(Pu) = " " _ . _.. . _ " " __ "
Vu Wu (R% -R7) Vu W K V W K(RI -R$)
Ri )R j R' R'
M5 W R/j (Rg -R[) _Ms W R/j (Rg -Rf ) Ms WSj (Rg -Rf)
= * .* * . - . . * .. **. .e * ...*= (
Vu W R' (R' -Rm') V, R' Wu (R/ -Rg) Vu Wu' (R/' -Rg)
In some processes, the mass of the unknown solution is used instead of the volume. Then the
plutonium concentration CM(Pu) will have the unit of grams (or mg) of plutonium per unit mass of
the unknown solution instead of grams of plutonium per unit volume of the unknown solution.
II. AGED PRODUCT SOLUTION
To test Equation 2, we analyze the gamma-ray data taken at the Plutonium Fuel Center, Japan
Nuclear Cycle Development Institute (JNC), Tokai, Japan, using FRAM v4 [3,4] with the parameter
set UPu60_210Solution. (The parameter set indicates the analysis is for plutonium and uranium in
solution with the analysis in the energy range from 60 to 210 keV.) The samples were analyzed by
Isotope Dilution Mass Spectrometry (IDMS), so we can compare the IDGS results with the IDMS
results. These data include ten spectra, five each of the unknown and spiked solutions, at five
different measurement live times: 0.5, 1, 2, 3, and 4 hours. The isotopic compositions of the spike
were already known and require no gamma measurements. Table 1 shows the plutonium isotopic
compositions of the spike.
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Chen, Bin; Lin, Jung-Fu; Chen, Jiuhua; Zhang, Hengzhong & Zeng, Qiaoshi. Synchrotron-based high-pressure research in materials science, article, June 1, 2016; (digital.library.unt.edu/ark:/67531/metadc927911/m1/3/: accessed November 20, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.