Abstract
Negative thermal expansion (NTE) is a counterintuitive phenomenon, in which materials undergo contraction as they are heated. ScF3, a well-known NTE material has been reported to show NTE coefficients up-to 1000K. At ambient conditions, ScF3 crystallizes in a cubic symmetry (Pm-3m space group) same as that in the ReO3-type structures. Crystal-structure predictions (CSP) show that at P=1 GPa, a phase transition occurs in cubic ScF3 to form the rhombohedral phase (R-3C space-group). Quasi-harmonic approximation (QHA) calculations show that this new phase can show NTE coefficients for temperatures as high as 4500 K due to soft rigid-unit modes (RUM). The stability of this phase persists until 4 GPa. Beyond 4 GPa, the rhombohedral phase further undergoes a phase-transition into an orthorhombic-phase (Immm space group) having a non-corner-shared polyhedron network. This phase shows very poor NTE. On further increasing the pressure to 6 GPa, a trigonal-prismatic arrangement of ScF3 is obtained (R32 space group) which shows a reasonably good NTE phase due to the corner shared framework and remains stable till 9 GPa. Amongst the various pressure generated phases in ScF3, the rhombohedral phase shows the highest NTE behaviour. Ab-inito molecular dynamics (AIMD) simulations show that maximum volume contraction occurs for this R-3C phase due to facile bending of the ∠Sc-F-Sc causing framework softening.
Supplementary materials
Title
Pressure Induced Rhombohedral Phase in ScF3 shows Enhanced Negative Thermal Expansion
Description
Contents:
1. Figure S1. Energies for the various structures generated at the ambient pressure.
2. Figure S2. Bond length elongation under heat.
3. Figure S3. Phonon bands.
4. Figure S4. NTE coefficient of the rhombohedral (R-3C) phase calculated till 4500 K
(QHA approximation).
5. Figure S5. Change in lattice parameters of the cubic and the rhombohedral phases with
temperature.
6. Figure S6. Change in volume of the cubic and the rhombohedral phases with
temperature (QHA approximation).
7. Table ST1. Comparison of the experimental lattice constants of the cubic ScF3 with our
work.
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