In this paper, we perform theoretical study on the physical properties of two-dimensional transition metal chalcogenides MX and MX (M= Ni, Pd; X= S, Se, Te). These studied materials are classified in three stable phases according to their lattice structures: hexagonal MX, orthorhombic MX and orthorhombic MX. They have either isotropic or anisotropic in-plane properties depending on their symmetries. In particular, the orthorhombic MX and MX have low lattice symmetry and present highly anisotropic properties. The orthorhombic MX possess giant negative in-plane Poisson’s ratios, different from the other two phases. Moreover, by joint analysis of band gap, band edge and optical absorption, the orthorhombic MX and MX are found to be highly efficient as water splitting photocatalysts within the visible and ultraviolet sunlight regions.

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