coolness vs cool

coolness and cool both are nouns.

Word	Noun	Adjective	Verb	Adverb
coolness	Yes	No	No	No
cool	Yes	Yes	Yes	No

coolness (noun)	cool (noun)
the property of being moderately cold	the quality of being at a refreshingly low temperature
a lack of affection or enthusiasm	great coolness and composure under strain
fearless self-possession in the face of danger
calm and unruffled self-assurance

coolness (adjective)	cool (adjective)
	neither warm nor very cold; giving relief from heat
	psychologically cool and unenthusiastic; unfriendly or unresponsive or showing dislike
	inducing the impression of coolness; used especially of greens and blues and violets when referring to color
	marked by calm self-control (especially in trying circumstances); unemotional
	fashionable and attractive at the time; often skilled or socially adept
	being satisfactory or in satisfactory condition
	used of a quantity or amount (especially of money) for emphasis