cool vs coolness

cool and coolness both are nouns.

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

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

cool (adjective)	coolness (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