The quantum density functional theory (DFT) allows to predict the mechanical properties of bulk materials like the binding energy [1,2] and the elastic properties [3,4],as well as to solve chemically oriented problems,like finding the preferred position of an absorbed atom or a molecule [5-7].DFT can be used to determine the crystalline structure,corresponding to a given pressure [8,9].Here we apply successfully DFT methods to find the equation of state for the Laves phase of ErFe_2 for pressures below 30 GPa.The problem is motivated by the fact,that Laves phases are potential materials for the hydrogen storage and the considered range of pressures is used for pressured saturation.
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