In a system of particles, due to random Brownian motion and the nature of Gaussian energy distributions, a small number of particles occasionally gain significantly higher energy than average through statistical fluctuations. Maybe enough to escape the binding energy of le grand k. However I would think this is a very very small effect in platinum.

Sure, radioactivity.

But, Le grand K is made of naturally occurring platinum of which most of the isotopes are observationally stable[0] and the one isotope that isn't has a half-life of 6.5×10^11 and only makes up 0.012% [1].

So yeah I don't buy the unstable explanation to even begin to show the divergence, let alone "weight gain".

[0] https://en.wikipedia.org/wiki/Stable_nuclide#Still-unobserve...

[1] https://en.wikipedia.org/wiki/Isotopes_of_platinum

[Edit] Wait are you describing evaporation?

Yes, he's describing evaporation. Here's a thread about it, basically the answer is "we don't know" https://physics.stackexchange.com/questions/77130/why-does-p...

Thank you, that link (particularly [1]) is basically the kind of explanation I was looking for in my initial comment.

[1] https://physics.stackexchange.com/a/784886

There's so many variables there! What kind of purity could 1889 achieve? What kind of uniformity between the N samples? How do they know the different cleaning procedures (!) are not adding mass by leaving something behind? If the samples are known to be oxidizing, why leave them in air? Why are there multiple elbows in that graph around 1950 -- surely another procedural change but again not uniformly applied?

Maybe these aren't the best sources of historic mass data.

Edit: yes

Perhaps you mean Boltzmann distributions?