postdoctoral vs post doc

postdoctoral and post doc both are nouns.

Word	Noun	Adjective	Verb	Adverb
postdoctoral	Yes	Yes	No	No
post doc	Yes	No	No	No

As nouns, postdoctoral and post doc are synonyms defined as:

postdoctoral and post doc: a grant that funds postdoctoral study or research

Other synonyms of postdoctoral include postdoc.

postdoctoral (noun)	post doc (noun)
a grant that funds postdoctoral study or research	a scholar or researcher who is involved in academic study beyond the level of a doctoral degree
	a grant that funds postdoctoral study or research

postdoctoral (adjective)	post doc (adjective)
of or relating to study or research that is done after work for the doctoral degree has been completed