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Title: Effects of rotational states on the c / a ratio in solid hydrogens

Journal Article · · Physical Review. B, Condensed Matter and Materials Physics
 [1];  [2]
  1. National Academy of Sciences of Ukraine, Kharkov (Ukraine); Carnegie Institution of Washington, Washington, D.C. (United States)
  2. Carnegie Institution of Washington, Washington, D.C. (United States)

We propose an approach to the problem of lattice distortions at low temperatures and ambient pressure in the solid hydrogens in their rotational ground states that explicitly accounts for the molecular nature of the constituent particles. The model is based on the idea that the second-order rotation-related correction to the ground-state energy depends on the lattice parameters. The calculated ground-state rotation-related contributions, δgs = c/a–(8/3)1/2, are negative for all species, amounting to about –1.5×10–5 for H2 and D2, whereas for HD this contribution is about –0.6×10–3, which is roughly 50 times larger. This substantial difference stems from the fact that the rotational dynamics in the homonuclear solids and in HD differ appreciably. Furthermore, the approach can be generalized to high pressures.

Research Organization:
Carnegie Institution of Washington, Washington, D.C. (United States); Energy Frontier Research Centers (EFRC) (United States). Energy Frontier Research in Extreme Environments (EFree)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
NA0002006; SC0001057; NA-00006; SC-0001057
OSTI ID:
1335674
Alternate ID(s):
OSTI ID: 1179360
Journal Information:
Physical Review. B, Condensed Matter and Materials Physics, Vol. 91, Issue 14; ISSN 1098-0121
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 1 work
Citation information provided by
Web of Science

References (18)

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Lattice distortion of hcp solid helium under pressure journal September 2009
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Crystal-field phenomena in hcp H 2 and D 2 at high pressures journal July 2014
Microwave absorption by ortho-H 2 pairs in solid hydrogen journal July 1977
Crystal Structure of Hydrogen Isotopes journal March 1967
Anisotropic interactions between HD molecules journal May 2006
Quantum Theory of Angular Momentum book October 1988
Low-frequency Raman excitations in phase I of solid H 2 : Role of crystal fields journal January 2001
The quadrupole moment of the H 2 molecule journal April 1978
Quadrupole Transitions in the H 2 , HD and D 2 Molecules journal September 1969
Short-range correlations in quantum crystals and motional renormalization of anisotropic interactions in solid hydrogen as a function of density journal December 1979
Phonons in Solid Hydrogen and Deuterium Studied by Inelastic Coherent Neutron Scattering journal February 1973
Elastic constants of parahydrogen determined by Brillouin scattering journal November 1978
Elastic constants of solid hexagonal close-packed hydrogen and deuterium journal August 1976
Density dependence of the elastic constants of hcp hydrogen and deuterium journal September 1979
Elasticity of hydrogen to 24 GPa from single-crystal Brillouin scattering and synchrotron x-ray diffraction journal October 1993
Lattice distortion of quantum cryocrystals under pressure journal November 2006

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