Timeline for The origin of the natural base in statistical mechanics
Current License: CC BY-SA 4.0
2 events
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| Feb 2, 2023 at 20:23 | comment | added | Eliot Behr | Respectfully, I disagree that you can't get rid of e^(5/2) for Sackur-Tetrode? In the derivation, Nk*5/2 emerges from Equipartition theorem which yields Nk*3/2 term (from translational internal energy), and Stirlings approximation on q_trans, which gets Nk. To make it into the more compact form, we put it to base e and fit it inside the natural logarithm. If one had chosen a different log base, e.g. log2, we would've put 2^(5/2) inside it instead. I do think e and ln have mathematical and natural significance, but that is my understanding of the emergence of e here. | |
| Feb 24, 2022 at 5:25 | history | answered | Buzz | CC BY-SA 4.0 |