orthogonal vs orthogonality

orthogonal is not a noun while orthogonality is a noun.

Word	Noun	Adjective	Verb	Adverb
orthogonal	No	Yes	No	No
orthogonality	Yes	No	No	No

orthogonal (noun)	orthogonality (noun)
	the quality of lying or intersecting at right angles
	the relation of opposition between things at right angles

orthogonal (adjective)	orthogonality (adjective)
not pertinent to the matter under consideration
having a set of mutually perpendicular axes; meeting at right angles
statistically unrelated