elucidation vs explanation

elucidation and explanation both are nouns.

Word	Noun	Adjective	Verb	Adverb
elucidation	Yes	No	No	No
explanation	Yes	No	No	No

As nouns, explanation is a hypernym of elucidation; that is, explanation is a word with a broader meaning than elucidation:

elucidation (noun)	explanation (noun)
an interpretation that removes obstacles to understanding	thought that makes something comprehensible
an act of explaining that serves to clear up and cast light on	a statement that makes something comprehensible by describing the relevant structure or operation or circumstances etc.
	the act of explaining; making something plain or intelligible