hate vs contemn

hate is a noun but contemn is not a noun.

Word	Noun	Adjective	Verb	Adverb
hate	Yes	No	Yes	No
contemn	No	No	Yes	No

As verbs, contemn is a hyponym of hate; that is, contemn is a word with a more specific, narrower meaning than hate:

Other hyponyms of hate include abhor, abominate, execrate, loathe, despise, disdain, scorn.

hate (noun)	contemn (noun)
the emotion of intense dislike; a feeling of dislike so strong that it demands action

hate (verb)	contemn (verb)
to have and express negative sentiments about a person	look down on with disdain
dislike intensely; feel antipathy or aversion towards