Autotrophic bacteria are a diverse group of bacteria, and they don't have one single scientific or common name. Here's why:

Scientifically:

* "Autotrophic" describes their mode of nutrition (producing their own food). It's not a specific taxonomic group like "Staphylococcus" or "E. coli".

* Many different bacterial phyla and classes contain autotrophs.

* You'll find autotrophic bacteria in the *Cyanobacteria* (formerly known as blue-green algae), *Chlorobi* (green sulfur bacteria), *Chloroflexi* (green non-sulfur bacteria), and others.

Commonly:

* There isn't one common name for autotrophic bacteria as a whole.

* You might see them referred to as "photosynthetic bacteria" (if they use sunlight) or "chemosynthetic bacteria" (if they use inorganic compounds for energy).

To be more specific, you need to identify the particular type of autotrophic bacteria you are interested in.

For example, you could say:

* Cyanobacteria (commonly known as blue-green algae)

* Green sulfur bacteria (*Chlorobi*)

* Nitrifying bacteria (a group of chemoautotrophs that oxidize ammonia)

I hope this explanation helps!