rare vs infrequent

rare and infrequent both are adjectives.

Word	Noun	Adjective	Verb	Adverb
rare	No	Yes	No	No
infrequent	No	Yes	No	No

rare (adjective)	infrequent (adjective)
marked by an uncommon quality; especially superlative or extreme of its kind	not frequent; not occurring regularly or at short intervals
recurring only at long intervals
(of meat) cooked a short time; still red inside
not widely distributed
having low density
not widely known; especially valued for its uncommonness