Writing resistivity ratio ρ
300/ρ
77 as
R and according to a linear relation between resistivity at 77 K, ρ
77, and 1/(
R−1) deduced from the Matthiessen's rule, the measured values of ρ
D77 using density method size factor have been plotted versus 1/(
R−1). This diagram called as Matthiessen plot (MP) was very useful to detect errors in ρ measurements. Straight lines obtained by regression of the MP as ρ
D77=α/(
R−1)+β were called as Matthiessen empirical relations (MER) . Other than the gradient α of the MER, a gradient α*=ρ
77(
R−1) of straight lines binding each plots and origin of the MP was induced. Using ρ
D77 and
R data formerly measured in Al–1.0%Mg
2Si– (0~0.7%) Cu alloys, variations in the two gradients with isothermal aging temperature and Cu addition were investigated. At all aging temperatures, the α was lower than the ideal value, 25.13 nΩ m for Al base solid solution without deviation from Matthiessen's Rule (DMR). The α decreased with lowering aging temperature from 473 K to room temperature and amount of Cu. A good linear relation was observed between α and β changed by aging temperature and Cu addition. The α* calculated from concentration of solutes in solution- treated and quenched state was decreased with the addition of Cu having negative DMR. The α* was increased by agings at and above 448 K, whereas decreased by room temperature aging. The α* increase by high temperature aging can be explained by overestimation of size factor due to high- resistivity precipitates decreasing the effective cross section for electric current. Assuming a large negative DMR of clusters or G.P. zones, the decrease in α* with room temperature aging can be understood.
抄録全体を表示