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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�

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