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The distribution of metallicities appear to be more evenly spread out in logspace than in linear space. The reason for this can be ascribed to there being no preferred scale for the abundance of a given element; rather they span several orders of magnitude. The same can be said for instance about the distribution of dust grain sizes, the distribution of the ...


The logarithm is there because the ratio $O/H$ is really tiny. The log converts essentially points out the order of magnitude. If we have $O/H= 10^{-14}$, then $\log(O/H)=-14$. Taking logarithms is a standard practice in science and mathematics when the numbers range over several orders of magnitude (especially so when they are either very large or very ...

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