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Oct 1 at 23:34 comment added Paul Kolk I don't want to answer this incomplete question. The answer depends on whether there is a source of heat behind the solid, to keep the temperature from dropping, because perfect vacuum provides no thermal radiation to compensate the evaporative cooling heat loss. Without a heat source, it doesn't even matter what the initial dissociation rate is. The rate goes to zero and some solid remains. QT doesn't change that. BTW, "zero-point energy" is not something like thermal energy: it is just a correction on top of a classical calculation. I think, it is worth explicitly mentioning in your answer.
Oct 1 at 11:54 comment added Buck Thorn @PaulKolk In retrospect I realize my answer was not very good. My take on the question was a bit off. Your comment on phonons etc might be the start of a better answer. The answer reduces to what fraction of surface molecules (ignoring QT) have sufficient energy to dissociate, and what the dissociation rate might be to generate a measurable particle stream, so include how ultralow pressure is measured.
Oct 1 at 8:55 comment added Paul Kolk It is exceptional among molecules. Sure, many other things exhibit tunnelling, but still remain solid at absolute zero. Electron tunnelling is another story since electrons do not form a (size independent) phase in vacuum.
Oct 1 at 8:20 comment added Buck Thorn @PaulKolk Yes, $\ce{He}$ is interesting, but exceptional? link.springer.com/chapter/10.1007/978-3-662-05900-5_5
Oct 1 at 8:01 comment added Paul Kolk Not liberation from a surface! Only from a lattice. That is a well established fact.
Oct 1 at 7:19 comment added Buck Thorn @PaulKolk Quantum tunneling could account for liberation of some atoms from a surface? I was thinking classically about thermal equilibria. But I would not go so far as saying "needs no energy". Energy is conserved.
Sep 30 at 20:15 comment added Paul Kolk "...sufficient energy to form a disordered phase or detach from a lattice. " Detachment from a lattice needs no energy for helium.
Sep 30 at 9:05 history edited Buck Thorn CC BY-SA 4.0
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Sep 30 at 8:06 history answered Buck Thorn CC BY-SA 4.0