The electronic structures of the pyrite-type disulphides (MS₂, where M = Mn, Fe, Co, Ni, Cu, Zn) and the bulk properties of pyrite from local density approximation (LDA) band structure calculations

Abstract

A local density approximation (LDA) band structure method, the Linear Muffin-Tin Orbital Atomic Sphere Approximation (LMTO-ASA) method has been used to calculate the electronic structures of the pyrite-type disulphides (MS₂, where M = Mn, Fe, Co, Ni, Cu, Zn). The total density of states has been calculated for 10 eV above and below the Fermi Level, along with the separate contributions from metal and sulphur and shows that the metal d band occurs above the sulphur p bands in MnS₂, FeS₂, CoS₂ and NiS₂, whereas in CuS₂, the d band passes through the sulphur p band and in ZnS₂, it lies below the sulphur p band. Substantial hybridization of the metal d states with the sulphur states occurs. FeS₂ is calculated to be a semiconductor with a direct band gap of 0.64 eV in good agreement with experiment. The calculated local densities of states have been used in turn to calculate X-ray photoelectron spectra and Bremsstrahlung Isochromat spectra for this series of compounds, and these also show reasonable agreement with experimental data. A particular strength of the LMTO-ASA method is the ability to calculate and predict certain bulk properties of solids of interest in mineral physics. This has enabled the first reasonably accurate calculations of the total energy of the valence electrons of the system for pyrite (FeS₂), given as — 345.885 rydbergs per unit cell, and the equilibrium unit cell volume which is within 3.3% of that determined experimentally. A theoretical pressure vs. volume curve for pyrite was also calculated along with values for the bulk modulus. However, our calculations predict a bulk modulus of 6.75 Mbar which is too high by a factor of 4.6 due to the simplifying assumption of a uniform scaling of interatomic distances on compression.