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The Boltzmann constant is the exchange rate between temperature and the energy of motion.

Physics Facts, sourced to NIST.

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What it means

Temperature feels like a property of a thing, but it is really a statement about how fast the particles in that thing are jiggling. The Boltzmann constant converts between the two descriptions. It is a very small number, which is another way of saying that a single degree of warmth corresponds to a tiny amount of energy per particle and an enormous amount across a whole object.

The claim comes from NIST.

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