barrenness vs fruitlessness

barrenness and fruitlessness both are nouns.

Word	Noun	Adjective	Verb	Adverb
barrenness	Yes	No	No	No
fruitlessness	Yes	No	No	No

As nouns, barrenness and fruitlessness are synonyms defined as:

Other synonyms of barrenness include aridity.

barrenness (noun)	fruitlessness (noun)
the quality of yielding nothing of value	the quality of yielding nothing of value
the state (usually of a woman) of having no children or being unable to have children	a lack of creative imagination