Citation: Martin, E.; Amiehe
Essomba, I.B.; Ishisone, K.; Boero, M.;
Ori, G.; Massobrio, C. Impact of
Dispersion Force Schemes on Liquid
Systems: Comparing Efficiency and
Drawbacks for Well-Targeted Test
Cases. Molecules 2022, 27, 9034.
https://doi.org/10.3390/
molecules27249034
Academic Editor: Benedito
José Costa Cabral
Received: 14 November 2022
Accepted: 13 December 2022
Published: 18 December 2022
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molecules
Article
Impact of Dispersion Force Schemes on Liquid Systems:
Comparing Efficiency and Drawbacks for Well-Targeted
Test Cases
Evelyne Martin
1
, Iréné Bérenger Amiehe Essomba
2
, Kana Ishisone
2
, Mauro Boero
2
, Guido Ori
2
and Carlo Massobrio
2,
*
1
Laboratoire ICube, Université de Strasbourg, CNRS, UMR 7357, F-67037 Strasbourg, France
2
Institut de Physique et Chimie des Matériaux de Strasbourg, Université de Strasbourg, CNRS,
F-67034 Strasbourg, France
* Correspondence: carlo.massobrio@ipcms.unistra.fr
Abstract: First-principles molecular dynamics (FPMD) calculations were performed on liquid GeSe
4
with the aim of inferring the impact of dispersion (van der Waals, vdW) forces on the structural
properties. Different expressions for the dispersion forces were employed, allowing us to draw
conclusions on their performances in a comparative fashion. These results supersede previous
FPMD calculations obtained in smaller systems and shorter time trajectories by providing data of
unprecedented accuracy. We obtained a substantial agreement with experiments for the structure
factor regardless of the vdW scheme employed. This objective was achieved by using (in addition
to FPMD with no dispersion forces) a selection of vdW schemes available within density functional
theory. The first two are due to Grimme, D2 and D3, and the third one is devised within the so-called
maximally localized Wannier functions approach (MLWF). D3 results feature a sizeable disagreement
in real space with D2 and MLWF in terms of the partial and total pair correlation functions as well
as the coordination numbers. More strikingly, total and partial structure factors calculated with D3
exhibit an unexpected sharp increase at low k. This peculiarity goes along with large void regions
within the network, standing for a phase separation of indecipherable physical meaning. In view
of these findings, further evidence of unconventional structural properties found by employing
D3 is presented by relying on results obtained for a complex ionic liquid supported on a solid
surface. The novelty of our study is multifold: new, reliable FPMD data for a prototypical disordered
network system, convincing agreement with experimental data and assessment of the impact of
dispersion forces, with emphasis on the intriguing behavior of one specific recipe and the discovery
of common structural features shared by drastically dissimilar physical systems when the D3 vdW
scheme is employed.
Keywords: dispersion forces; first-principles molecular dynamics; chalcogenides; disordered
networks; liquid and glassy systems; density functional theory
1. Introduction
Disordered systems can play a benchmark role in assessing the sensitivity of structural
properties to the inclusion of dispersion forces (van der Waals, vdW hereafter) within the
Kohn–Sham formulation of the density functional theory (DFT) [1]. By focusing on the
family of chalcogenides, it is worth starting by quoting the seminal paper devoted to liquid
Ge
15
Te
85
, in which it was proposed that more realistic pair correlation functions and struc-
ture factors could be achieved by including vdW corrections [2]. Similar considerations
were also developed later for liquid and amorphous GeTe [3,4]. However, it should be
recognized that, despite their intrinsic validity, these contributions were more instrumental
in opening a lively debate on the need of adding vdW corrections than in assessing their
quantitative importance to improve the cohesive properties of disordered chalcogenides.
Molecules 2022, 27, 9034. https://doi.org/10.3390/molecules27249034 https://www.mdpi.com/journal/molecules