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Modifications for $ ^{26}$Al

This procedure is essentially the same for $ ^{26}$Al. The only major difference in the chemical processing is that the quartz sample typically contains a relatively large amount of total Al, so it is not necessary to add Al carrier. Thus, the total number of atoms of stable $ ^{27}$Al in the sample, here denoted $ n_{27,S}$, replaces the number of atoms of the stable nuclide added as carrier. This quantity is:

$\displaystyle n_{27,S} = \frac{M_{Al,S}N_{A}}{A_{Al}}$ (15)

where $ A_{Al}$ is the molar weight of Al (26.982 g $ \cdot$ mol$ ^{-1}$) and $ M_{Al,S}$ is the mass of Al in the sample (g). The mass of Al in the sample is usually determined by ICP-OES or AA analysis of an aliquot taken immediately after the sample has been dissolved. The $ ^{26}$Al concentration in quartz, $ N_{26}$, is then:

$\displaystyle N_{26} = \frac{1}{M_{q}} \left( \frac{R_{26/27}M_{Al,S}N_{A}}{A_{Al}} - n_{26.B} \right)$ (16)

where $ R_{26/27}$ is the measured $ ^{26}$Al/$ ^{27}$Al ratio. The uncertainty $ \sigma N_{26}$ is:

$\displaystyle \sigma N_{26} = \sqrt{ \left( \frac{\partial N_{26}}{\partial R_{...
...\left( \frac{\partial N_{26}}{\partial M_{Al,S}} \sigma M_{Al,S} \right) ^{2} }$ (17)

where:

$\displaystyle \frac{\partial N_{26}}{\partial R_{26/27}}$ $\displaystyle = \frac{M_{Al,S}N_{A}}{M_{q}A_{Al}}$ (18)
$\displaystyle \frac{\partial N_{26}}{\partial n_{26,B}}$ $\displaystyle = \frac{{-1}}{M_{q}}$ (19)
$\displaystyle \frac{\partial N_{26}}{\partial M_{Al,S}}$ $\displaystyle = \frac{R_{26/27}N_{A}}{M_{q}A_{Al}}$ (20)

One determines the process blank for $ ^{26}$Al measurements in the same way as for $ ^{10}$Be, as described above. $ ^{26}$Al is a much less common nuclide in the environment, so generally $ ^{26}$Al blanks are less important than $ ^{10}$Be blanks.


next up previous
Next: Traps for the unwary Up: Converting Al and Be Previous: Estimating the number of
2006-05-08