alt Hacker NewsWe do. https://en.wikipedia.org/wiki/Trinitite#Similar_materials says "Occasionally, the name trinitite is broadly applied to all glassy residues of nuclear bomb testing, not just the Trinity test" and lists hiroshimaite and kharitonchiki as similar glassy residues from Hiroshima and the Semipalatinsk Test Site, respectively.
The general term for for the fused glass-like material formed during a nuclear test" seems to be "atomsite" - https://www.osti.gov/pages/servlets/purl/3001767 . Some images of atomsite from the Trinity and Semipalatinsk test sites are at http://www.radioaktivitaet.uni-bremen.de/downloads/Pittauero...
As a wild guess, what's special is it might be the easiest to get, with many samples to study.
Adding to this, I seem to recall that the specific geological/chemical conditions on the site is consequential for the sorts of glass produced. So presumably, Hiroshmiaite and Trinitite would actually be physically distinct as a material.
As I recall, research on meteorite impacts use the similarly formed Impactite to deduce various things about ancient impact sites. As an aside, I think they also do really elaborate calculations of force and angle of impact based on surveying the spread pattern and distribution of these little glass chunks.
https://en.wikipedia.org/wiki/Impactite