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The elastic properties of rutile transition metal dioxides XO$_{2}$ (X=Ru,Rh, Os, and Ir) are investigated using first-principles calculations based ondensity functional theory. Elastic constants, bulk modulus, shear modulus, andYoung's modulus as well as Possion ratio are given. OsO$_2$ and IrO$_2$ showstrong incompressibility. The hardness estimated for these dioxides shows thatthey are not superhard solids. The obtained Debye temperatures are comparativeto those of transition metal dinitrides or diborides.

Elastic properties of transition metal dioxides: XO$_{2}$(X=Ru, Rh, Os, Ir)