New property of hydrogen predicted

Theoretical physicists from Kiel and Dresden calculate unusual behaviour of electrons

Hydrogen is the most common element in the universe. It determines the properties of stars and planets and is crucial for life on Earth - not least because of its role in climate-neutral energy supply. Generations of scientists in physics and chemistry have researched hydrogen very intensively, both in experiments and with the help of computer simulations. Despite its very simple structure - a hydrogen atom consists of only one electron and one proton - many properties have still not been conclusively clarified.

Now, a research team from Christian-Albrechts-Universität zu Kiel (CAU) and Helmholtz-Zentrum Dresden-Rossendorf (HZDR) has predicted another surprising property of hydrogen: The element shows an unusual "roton-like behaviour" when compressed under high pressure. This manifests itself, for example, in the fact that X-ray light is scattered by dense hydrogen in an unusual way. In the process, the X-ray photons transfer energy to the electrons, which is greater the greater the momentum transferred. In dense hydrogen, on the other hand, the energy can also decrease as the momentum transfer increases.

This was previously only found in completely different systems, such as in exotic so-called Bose fluids close to absolute temperature zero. Such liquids are superfluid, for example, quantum effects occur in them and they can no longer be described with classical statistical mechanics. "This property of hydrogen is caused by the electrons, which are not bound in atoms," explains Professor Michael Bonitz from the Institute for Theoretical Physics and Astrophysics at CAU. He led the Kiel research team. Dr Tobias Dornheim from the HZDR describes the behaviour of the electrons: "If hydrogen is irradiated with X-ray photons of a certain wavelength, electrons can come unusually close to each other and even form pairs, although they repel each other."

In their computer simulations, the research team has worked out exact predictions for which parameters this roton behaviour should be observable. Now it is up to researchers in experimental physics to prove it in practice.

The results are published in the current issue of the journal Physical Review Research and highlighted by the editors as Editors' Suggestion.

Original publication:

Paul Hamann, Linda Kordts, Alexey Filinov, Michael Bonitz, Tobias Dornheim, and Jan Vorberger. Prediction of a roton-type feature in warm dense hydrogen. Physical Review Research 5, 033039.  DOI:


Group picture
© Christopher Makait

The computer simulations of Dr Alexey Filinov (from left), Master's students Linda Kordts and Paul Hamann and group leader Professor Michael Bonitz from the Research Group "Statistical Physics" in Kiel predict a new property of hydrogen.


© Jan Vorberger

Electrons carry the same charge and therefore repel each other. But physicists from Kiel and Dresden have discovered that they come together in pairs in hydrogen under certain conditions. This can be seen, for example, when they are irradiated with X-ray light.

Scientific Contact:

Prof. Dr. rer. nat. Michael Bonitz
Chair of Theoretical Physics
Institute of Theoretical Physics and Astrophysics
Christian-Albrechts-Universität zu Kiel (CAU) / Kiel University
+49 431 880-4122


Press contact:
Julia Siekmann
Science Communication Officer, Research area Kiel Nano Surface and Interface Sciences