olfactory nerve vs nervii olfactorii

olfactory nerve and nervii olfactorii both are nouns.

Word	Noun	Adjective	Verb	Adverb
olfactory nerve	Yes	No	No	No
nervii olfactorii	Yes	No	No	No

As nouns, olfactory nerve and nervii olfactorii are synonyms defined as:

olfactory nerve and nervii olfactorii: a collective term for numerous olfactory filaments in the nasal mucosa

Other synonyms of olfactory nerve include first cranial nerve.

olfactory nerve (noun)	nervii olfactorii (noun)
a collective term for numerous olfactory filaments in the nasal mucosa	a collective term for numerous olfactory filaments in the nasal mucosa