Géochimie isotopique du lithium dans les basaltes-Géochimie des ...
Géochimie isotopique du lithium dans les basaltes-Géochimie des ...
Géochimie isotopique du lithium dans les basaltes-Géochimie des ...
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tel-00344949, version 1 - 7 Dec 2008<br />
3. Article soumis à GCA en révision<br />
the observed 7 Li enrichment in the inclusions is fully consistent with the expectations of a<br />
faster diffusion loss from the inclusion of 6 Li than of 7 Li. It is thus rather clear that the use<br />
of Li isotopic composition in inclusions hosted by phenocrysts should be seen with extreme<br />
caution: their limited volumes imply fast diffusion‐in<strong>du</strong>ced modifications of the pristine<br />
δ7Li<br />
values.<br />
compositions 110<br />
7.2. Effect of microscale diffusion‐in<strong>du</strong>ced fractionation on bulk Li isotopic<br />
The modifications of the δ 7 Li values of crystals <strong>du</strong>e to Li diffusion <strong>du</strong>ring the cooling<br />
of magmatic rocks tend to create strong Li isotopic variations at the micrometer scale.<br />
Depending on the amount of analyzed sample, whole‐rock Li isotopic measurements could<br />
be affected by these small scale heterogeneities. In order to evaluate this effect, one can<br />
consider the case of a magmatic rock composed of two phases �named A and B� randomly<br />
distributed and which display a difference in δ 7 Li of 10‰. For a given volume of this rock,<br />
the probability for the measured δ 7 Li value to be X can be approximated by the binomial<br />
law:<br />
7<br />
n!<br />
P(δ<br />
Li = X ) = (<br />
k!<br />
( n − k)!<br />
f A<br />
7<br />
7<br />
with: = ( δ Li ∗k<br />
+ ( 1−<br />
k)<br />
∗δ<br />
Li ) / n<br />
X A<br />
B<br />
and:<br />
n = ( m/<br />
ρ)<br />
/ d<br />
3<br />
k<br />
) ( 1−<br />
f<br />
)<br />
1−k<br />
A<br />
In equation �2�, fA is the fraction of the crystal A �for our calculation fA� 0.5�, n is the<br />
number of crystals present in a given volume of this rock, m is the sample mass, d is the<br />
crystal size and ρ is their density. The isotopic variability in<strong>du</strong>ced by the sub‐millimeter<br />
scale heterogeneity can be approximated by the variance of this binomial law of<br />
distribution. These theoretical estimates were calculated �Fig. 3.12� for different grain radii<br />
�50, 250 and 500 μm�. This approach shows that for instance if Li isotopic heterogeneities<br />
are present at a scale of 250μm, then heterogeneity of �1‰ is expected when aliquots of<br />
10 mg of rock are analyzed. This should be taken into account for bulk rock Li isotope<br />
measurements.<br />
�2�