How Hydrogen Passes Through a Wall: A Map of the Invisible Path ✛ ✎

Original: "Diabatic Seam Space Sampling for Hydrogen Tunneling Systems with Nuclear-Electronic Orbital Theory"
arXiv:2609.03942v1 · 2026-09-03 · arXiv non-exclusive · independent analysis · 1 min
Scientists have learned to hold a molecule at the boundary where hydrogen can 'leak' through an energy barrier, and for the first time they have seen how the strength of this transition changes.

Hydrogen is the lightest atom. In some molecules, it behaves not like a tiny ball but like a wave that can seep through an energy barrier. It is as if a ball found itself on the other side of a hill without rolling over it. Scientists call this tunneling.

But how does a molecule find a path for such a transition? Previously, we only saw the starting and ending points, while the route itself remained hidden. Now scientists have come up with a method that holds the molecule at the 'seam': the boundary where the initial and final states have equal energy. It is like a tightrope that hydrogen walks along.

Key finding: the strength of the transition depends on the distance between the two atoms that pass the hydrogen. If they move closer together, the transition becomes easier; if they move apart, it becomes harder.

Now that we have a map of this invisible path, we can calculate the rates of chemical reactions more accurately. This is important for understanding how enzymes work in our bodies and for designing new materials.

The vibronic coupling between reactant and product states can change by an order of magnitude when the donor-acceptor distance changes by only 0.1 Å, which is comparable to the thickness of a single atomic layer.

Scientists
Charles-Augustin de CoulombJohannes RydbergTheodore LymanArnold SommerfeldJohann Jakob BalmerJoseph von Fraunhofer
Concepts
diamond nv center diamond nv center spectroscopy ion channel dynamics droplet nonadiabatic transition