Influence of Aluminum and Vanadium Alloying Elements on the Resistivity of Titanium

The experimental data on the resistivity of titanium–aluminum and titanium–vanadium alloys in the temperature ranges of $77$–$1700$ and $77$–$350$ K, respectively, at alloying component concentrations below $10$ at $\%$ are generalized. At these concentrations, the isotherms of the dependences $\rho(c)$ are linear in the temperature range of the $\alpha$ phase ($77$–$500$ K) and in the $\beta$ phase. The numerical values of the concentration angular coefficients $(d\rho/dc)_T=b$ were obtained for the $\mathrm{Ti}$–$\mathrm{Al}$ and $\mathrm{Ti}$–$\mathrm{V}$ systems at temperatures of $77$ and $300$ K and $\mathrm{Ti}$–$\mathrm{Al}$ alloys in the $\beta$ phase at $T=1400$ K. The temperature derivatives $(d\rho/dT)_T=b_T$ for the $\alpha$ phase near the Debye temperature and the $\beta$ phase, where the dependences $\rho(T)$ are close to linear, have been calculated for $\mathrm{Ti}$–$\mathrm{Al}$ alloys. In both cases the concentration dependences of the temperature angular coefficients $b_T(c)$ decrease with an increase in the Al concentration; however, their magnitudes differ by an order of magnitude.