Abstract

In this work, we consider low-enthalpy polymorphs of ice, predicted previously using a modified basin-hopping algorithm for crystal-structure prediction with the TIP4P empirical potential at three pressures (0, 4 and 8 kbar). We compare and (re)-rank the reported ice polymorphs in order of energetic stability, using high-level quantum-chemical calculations, primarily in the guise of sophisticated Density-Functional Theory (DFT) approaches. In the absence of applied pressure, ice Ih is predicted to be energetically more stable than ice Ic, and TIP4P-predicted results and ranking compare well with the results obtained from DFT calculations. However, perhaps not unexpectedly, the deviation between TIP4P- and DFT-calculated results increases with applied external pressure.

Highlights

  • The study of water’s properties, regardless of the particular condensed phase thereof, is of paramount practical and technical interest, in addition to constituting a fundamental and formidable scientific challenge [1]

  • We compare the relative TIP4P lattice enthalpies with those of PBE-D3 and PBE-many-body dispersion (MBD) (Figure 2), at different pressures (0 bar, 4000 bar and 8000 bar); i.e., the enthalpies relative to the lowest-energy structures

  • At 0 kbar, both PBE-D3- and PBE-MBD-relative enthalpies are well correlated with TIP4P enthalpy, with very limited re-ranking occurring for some higher-enthalpy polymorphs

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Summary

Introduction

The study of water’s properties, regardless of the particular condensed phase thereof, is of paramount practical and technical interest, in addition to constituting a fundamental and formidable scientific challenge [1]. Theoretical and/or molecular-simulation studies can help to explain more insights into the rich behavior of solid (both crystalline and amorphous) water phases, especially for high-pressure ices at the electronic-structure level, where empirical models can often be found wanting (due to the inevitable electron-cloud overlap at high pressures being well outside the electronic experience of near-ambient-condition empirical-model parameterization) [13]. The theoretical pursuit, and leverage, of crystal-structure-prediction (CSP) methods can be used to explore the plausible different crystalline polymorphs, and polytypes, of ice [14]. CSP, done well, can provide de-novo predictions for various crystalline polymorphs of a material from a first-principles approach (either with accurate empirical force-fields or from electronic-structure approaches). DFT and structure prediction; here, we re-rank the ice polymorphs using sophisticated and higher-level higher-level electronic-structure calculations [14]. Some of the polymorph structures are shown in electronic-structure calculations

The structure
Computational Details
Results and Discussion
Density-Functional
Conclusions
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