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The unpassivated and pseudohydrogen-passivated NWs are aligned along the [0001] direction of the wurtzite structure and have diameters ranging from 1 to 3 nm, approximately. The equilibrium lattice parameters of the NWs are seen to decrease with decreasing diameter, this reduction being more pronounced for the unpassivated NWs. Moreover, for similar diameters, the equilibrium lattice parameters of the unpassivated NWs, due to the radial expansion of As/P atoms on the surface region, are smaller than that for the pseudohydrogen-passivated NWs. The Young's modulus of the unpassivated InAs and InP NWs increases as the diameter decreases while that for the pseudohydrogen-passivated NWs an opposite trend was observed. The Poisson's ratio of the studied NWs, on the other hand, increases with decreasing diameters, and the calculated values for this quantity are almost three times larger for the unpassivated NWs when compared to that of the pseudohydrogen-passivated NWs. 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