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Which one is the stronger nucleophile in aprotic solvent: $\ce{H2O}$ or $\ce{H2S}?$

According to my notes, nucleophilicity order is directly proportional to basicity order in an aprotic medium, and is inversely proportional to basicity order in protic medium.

And $\ce{H2O}$ is a stronger base than $\ce{H2S},$ so it should be the strong nucleophile, but the answer is given as $\ce{H2S}$ is the stronger nucleophile. What is the reason for that? Am I missing something?

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  • $\begingroup$ Related: Nucleophilicity with respect to the solvent $\endgroup$
    – Vishnu
    Commented Mar 12, 2020 at 14:28
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    $\begingroup$ H2S is a stronger base then H2O, not that it matters much. More importantly trialkylthionium ions are much more stable then oxonium analogues. $\endgroup$
    – Mithoron
    Commented Mar 12, 2020 at 15:49

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