2015
DOI: 10.1103/physrevx.5.021033
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Anharmonic Nuclear Motion and the Relative Stability of Hexagonal and Cubic ice

Abstract: We use extensive first-principles quantum mechanical calculations to show that, although the static lattice and harmonic vibrational energies are almost identical, the anharmonic vibrational energy of hexagonal ice is significantly lower than that of cubic ice. This difference in anharmonicity is crucial, stabilizing hexagonal ice compared with cubic ice by at least 1.4 meV=H 2 O, in agreement with experimental estimates. The difference in anharmonicity arises predominantly from molecular O-H bond-stretching v… Show more

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Cited by 50 publications
(81 citation statements)
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“…Nevertheless, a note of caution must be added here. Very recently, Engel, Monserrat, and Needs (2015) have shown in a DFT-based study that anharmonic contributions to the free energy can turn out to be decisive for describing correctly the thermodynamic stability of different ice polymorph with very close quasiharmonic free energies. In particular, it has been shown that anharmonic quantum nuclear effects are decisive in stabilizing the hexagonal I h phase with respect to cubic I c , the latter being a rare form of ice that presents a different stacking of layers of tetrahedrally coordinated water molecules.…”
Section: Molecular Crystalsmentioning
confidence: 99%
See 1 more Smart Citation
“…Nevertheless, a note of caution must be added here. Very recently, Engel, Monserrat, and Needs (2015) have shown in a DFT-based study that anharmonic contributions to the free energy can turn out to be decisive for describing correctly the thermodynamic stability of different ice polymorph with very close quasiharmonic free energies. In particular, it has been shown that anharmonic quantum nuclear effects are decisive in stabilizing the hexagonal I h phase with respect to cubic I c , the latter being a rare form of ice that presents a different stacking of layers of tetrahedrally coordinated water molecules.…”
Section: Molecular Crystalsmentioning
confidence: 99%
“…In the SCP approach, one essentially assumes an harmonic solid with force constants that best represent the real anharmonic crystal, which are determined on the basis of a variational principle. We note that in recent years variants of the SCP approach have been successfully applied to the study of highly anharmonic metallic, molecular, and superconductor materials, in the context of electronic first-principles calculations (Errea, Rousseau, and Bergara, 2011;Errea, Calandra, and Mauri, 2013;Errea, Calandra, and Mauri, 2014;Engel, Monserrat, and Needs, 2015;Errea, et al, 2015).…”
Section: B a Bit Of History And Theorymentioning
confidence: 99%
“…However, here there is much room for optimism because methods for performing accurate vibrational calculations within DFT are being actively developed. 106,107 We conclude that experiments on hydrogen sulfide vindicate Ashcroft's ideas on superconducting hydrides. It is, however, still unclear whether high-T c superconductivity will be observed in pure hydrogen.…”
Section: A Glimpse Of the Futurementioning
confidence: 99%
“…In this work a vibrational self-consistent field (VSCF) method, described in Ref. 39 and used successfully several times since [40][41][42][43] , is used to include anharmonic effects in our results. This method has been used successfully in high pressure and temperature systems 41,44 , but this study consitutes the first time such a method has been applied to lower mantle materials.…”
Section: B Vibrational Calculationsmentioning
confidence: 99%