Abstract
Abstract The large structural stability regime of LaAl 2 and LaAl 3 as a function of pressure is investigated by the band structure calculations using the FP-LAPW method. An earlier experimental study has revealed that there is no structural phase transition at ∼35 and ∼30 GPa for LaAl 2 and LaAl 3 , respectively. Our calculations indicate that in the density of states curve of LaAl 2 , the Fermi level ( E F ) lies in a slope between bonding maxima and antibonding minima. At high pressures the E F moves slightly towards the valley, but this shifting does not affect its structural stability. In LaAl 3 , the E F falls in a flat region in the density of states and does not move even up to 33 GPa. The band dispersion curves for both the compounds show movement of bands under the influence of pressure. Some of them cross the Fermi level leading to so called Lifshitz transitions. However, it is seen that these electronic changes do not manifest into any volume anomaly in LaAl 3 under pressure. Our study clearly shows that the density of states behavior for LaAl 2 and LaAl 3 satisfies the Yamashita–Asano criterion for structural stability. The theoretical equations of state, bulk modulus and its pressure derivative values are compared with the experimental values.
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