Abstract

With the development of computer technology, the crystal structure of atomic-scale dynamics simulation is a hot research in recent years. The manganese carbonate crystal structure is chosen as the research object, as the elasticity of manganese carbonate crystal structure has been studied based on the plane wave ultra-soft first-principles density functional theory framework pseudopotential method. Based on molecular dynamics, interatomic potential function was introduced to describe the interactions between atoms of manganese carbonate crystals and then elasticity contants of manganese carbonate crystals, bulk modulus, shear modulus, Young’s modulus were simulated. Influencing of the pressure on elastic properties has been studied, the results indicate that: 1) the structure of manganese carbonate crystal shows anisotropy due to the different types of atoms of Coulomb force and van der Waals forces; 2) elastic moduli are also obtained, of which the bulk modulus B is 107.682GPa, shear modulus G is 52.09GPa; 3) the values are very consistent to the results of Chen (B 108GPa and G 49.8GPa), thus the established model and the selected potential functions are verified to be reliable.

Highlights

  • Elastic properties of crystals involves a number of fields, including chemical composition, crystal orientation, pressure and temperature

  • This work focus on the effect of pressure on the elastic properties of manganese carbonate crystal structures under certain temperature conditions

  • In order to maintain the 120° invariance of the CO3 group, the tri-atomic potential function of the O-C-O and the tetra-atomic potential function of O-C-O-O outside the C plane in the CO3 group structure are introduced into the manganese carbonate model

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Summary

Introduction

Elastic properties of crystals involves a number of fields, including chemical composition, crystal orientation, pressure and temperature. Chen et al [2] have studied elastic modulus of manganese carbonate single crystal measured by Brillouin spectroscopy, and the elastic constants (C11, C12, C13, C14, C33 and C44 ) of the triangular crystal structure at constant temperature are as: 223.9 GPa, 93.4 GPa, 76.0 GPa, -17.3 GPa, respectively. This work focus on the effect of pressure on the elastic properties of manganese carbonate crystal structures under certain temperature conditions. Elastic moduli of various typical crystals can be calculated by the calssical Reuss-Voigt-Hill method [6,7,8,9,10] These conclusions are useful for the molecular dynamics study of similar crystal structure with the space group

Modelling of manganese carbonate crystal
Interaction potential functions
Lattice parameters and elastic constants
Reuss bound and Voigt bound
C13 C12C33
Elastic moduli under various pressures
Conclusion

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