Electrical resistivity due to interstitial oxygen in the system TiOc(0⩽c⩽0.5)

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Abstract
The resistivity of the interstitial metallic alloys TiOc has been measured as a function of concentration in the range 0<or=c<or=0.5 and as a function of temperature (0 degrees C<or=T<or=1000 degrees C). The excess resistivity exhibits a Nordheim like behaviour showing singularities for c=0.17 and c=0.33. The temperature variation deviates from Matthiessen's rule and the excess resistivity has a negative slope. For small oxygen concentrations the scattering by the titanium lattice deformation is shown to be an order of magnitude smaller than the scattering by the screened oxygen atoms as calculated using the Friedel phase shift method. When the lattice thermal expansion is considered the model also accounts for the anomalous temperature variation of the excess resistivity. At all concentrations the excess resistivity is shown to vary as the lattice disorder or configurational entropy.