Giant splitting of the hydrogen rotational eigenenergies in the C$_2$ filled ice
- URL: http://arxiv.org/abs/2405.14665v1
- Date: Thu, 23 May 2024 15:03:16 GMT
- Title: Giant splitting of the hydrogen rotational eigenenergies in the C$_2$ filled ice
- Authors: Simone Di Cataldo, Maria Rescigno, Lorenzo Monacelli, Umbertoluca Ranieri, Richard Gaal, Stefan Klotz, Jacques Ollivier, Michael Marek Koza, Cristiano De Michele, Livia Eleonora Bove,
- Abstract summary: Hydrogen hydrates present a rich phase diagram influenced by both pressure and temperature, with the so-called C$$ phase emerging prominently above 2.5 GPa.
In this phase, hydrogen molecules are densely packed within a cubic ice-like lattice and the interaction with the surrounding water molecules profoundly affects their quantum rotational dynamics.
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- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Hydrogen hydrates present a rich phase diagram influenced by both pressure and temperature, with the so-called C$_2$ phase emerging prominently above 2.5 GPa. In this phase, hydrogen molecules are densely packed within a cubic ice-like lattice and the interaction with the surrounding water molecules profoundly affects their quantum rotational dynamics. Herein, we delve into this intricate interplay by directly solving the Schr\"{o}dinger's equation for a quantum H$_2$ rotor in the C$_2$ crystal field at finite temperature, generated through Density Functional Theory. Our calculations reveal a giant energy splitting relative to the magnetic quantum number of $\pm$3.2 meV for $l=1$. Employing inelastic neutron scattering, we experimentally measure the energy levels of H$_2$ within the C$_2$ phase at 6.0 and 3.4 GPa and low temperatures, finding remarkable agreement with our theoretical predictions. These findings underscore the pivotal role of hydrogen--water interactions in dictating the rotational behavior of the hydrogen molecules within the C$_2$ phase and indicate heightened induced-dipole interactions compared to other hydrogen hydrates.
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