Pressure-Induced Phase Transformation in $beta$-Eucryptite: an X-Ray Diffraction and Density Functional Theory Study

Certain alumino-silicates display exotic properties enabled by their framework structure made of corner-sharing tetrahedral rigid units. Using textit{in situ} diamond-anvil cell x-ray diffraction (XRD), we study the pressure-induced transformation of $beta$ eucryptite, a prototypical alumino-silicate. $beta$ eucryptite undergoes a phase transformation at moderate pressures, but the atomic structure of the new phase has not yet been reported. Based on density functional theory stability studies and Rietveld analysis of XRD patterns, we find that the pressure-stabilized phase belongs to the Pna2$_1$ space group. Furthermore, we discover two other possible pressure-stabilized polymorphs, P1c1 and Pca2$_1$.