"Achaemenidion" is the title of a short story by Mór Jókai. But what is an achaemenidion?

Based on an English translation, it seems to be a a magical potion with strange powers. The daughter of the king knows the secret formula.
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The Hungarian is beyond me, so I cannot read the story to see what it is about and look for some kind of link to these, but linguistically it could be a reference to a follower of Achaemenides, who was mentioned in Virgil's 'Aeneid' as a member of the crew of Odysseus who was left behind on Sicily, before being collected by Aeneas and taken to Italy.

https://en.wikipedia.org/wiki/Achaemenides

Alternatively, it could be one who lived in the Achaemenid empire (in Persia) founded by Cyrus the Great around 550 BCE and conquered by Alexander the Great in 330 BCE.

https://en.wikipedia.org/wiki/Achaemenid_Empire

Here is a link to the story:

https://webzone.ee/aurin/proza/jmazachaemenidion.html

If you have Chrome, just right-click on the story & in the popup it will say, "translate to English", click on that. In the story, there is an explanation. I would have provided the translation here but I'm not sure if there is a size/word limit.