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The passage reads: After the stationary energy distribution is thus determined using a con- stant h, we can find the corresponding temperature 0 in degrees absolute^{2} using a second constant of nature k = 1.346 × 10⁻⁶ erg • degree⁻¹ through the equation \frac{1}{\vartheta} = k \frac{d \ln R_0}{d E_0} The product k In• R_0 is the entropy of the system of resonators; it is the sum of the entropy of all separate resonators.

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The passage reads: After the stationary energy distribution is thus determined using a con- stant h, we can find the corresponding temperature 0 in degrees absolute^{2} using a second constant of nature k = 1.346 × 10⁻⁶ erg • degree⁻¹ through the equation \frac{1}{\vartheta} = k \frac{d \ln R_0}{d E_0} The product k In• R_0 is the entropy of the system of resonators; it is the sum of the entropy of all separate resonators.
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Robert McNees (mcnees@mastodon.social)'s status on Thursday, 14-Dec-2023 16:23:51 UTC Robert McNees
in reply to

Something that isn’t as widely known is that “h” is not the only fundamental constant that was introduced during Planck’s presentation to the German Physical Society #OTD in 1900!
Planck was investigating emission and absorption by blackbodies, so he needed a way to relate energies and temperatures. Thus, he had to introduce what we now refer to as “Boltzmann’s constant.”

In conversation about 11 months ago from mastodon.social permalink