Very little systematic investigation has so far been made on the inter-diffusion in liquid phases, especially in high-temperature melts, as compared with the study in solid phases, because of the experimental difficulties and the limited knowledge of liquid structures. Any method which permits a closer study of the diffusivity and the mechanism of diffusion should, therefore, be welcomed. In order to clarify the relative importance cf various factors for the inter-diffusion in liquid phases, diffusion coefficients in dilute Cu–S, Cu–Se and Cu–Te liquid copper base alloys have been measured with a modified capillary-reservoir method in the temperature range from 1100° to 1300°C.
From the re-examination of the applicability of simplified equations for the calculation of the diffusion coefficient, it has been found that the equation derived by Derge et al. can only be used when the ratio of
Ca⁄
Cs, the ratio between the average concentration of the sample and the concentration of the reservoir liquid, is less than 0.6 or θ (=π
2Dt⁄4
l2)<0.7. On the other hand, the equation used by Swalin is applicable when the ratio
Ca⁄
Cs is larger than 0.5 or θ>0.5. To obtain the diffusion coefficient as accurately as possible, the experimental conditions, i.e. the time of diffusion and the length of the capillary, were controlled so that the ratio of
Ca⁄
Cs might be in the range of 0.4 to 0.6 in consideration of the analytical error. The results obtained are summerized as follows:
(1) The diffusion data fit the following Arrhenius-type equation within the limits of experimental errors.
For Cu–S system:
DC=2.0×10
−2exp(−14500⁄
RT)cm
2⁄sec
Q=14.5±1.4kcal/mole.
For Cu–Se system:
DC=4.0×10
−3exp(−11900⁄
RT)cm
2⁄sec
Q=11.9±1.6kcal/mole.
For Cu–Te system:
DC=3.4×10
−3exp(−12800⁄
RT)cm
2⁄sec
Q=12.8±2.3kcal/mole.
(2) The diffusivity increases (
DS>
DSe>
DTe) as the radius of a diffusing particle decreases (
rS<
rSe<
rTe). The result indicates that the size of the diffusing particle is an important factor for inter-diffusion.
(3) The apparent activation energy for inter-diffusion may be expressed as a function of the activation energy of self-diffusion of a solvent and the electrostatic interaction energy between solute and solvent. The values calculated from the following equation show a fair agreement with the experimental values.
(
Remark: Graphics omitted.).
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